https://www.ixm-ibrahim.com/explanations daily 0.75 2023-04-08 https://www.ixm-ibrahim.com/explanations/simulating-deep-ocean-waves monthly 0.5 2023-04-08 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/67907240-c087-4130-9200-c9da782aea4a/Title+Image.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/87564bbf-6c1d-499d-bfca-b16661ca0d0d/Butterfly+Texture+Original-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/38d2e660-88da-41b1-a8ce-f766f15c7248/Butterfly+Texture+Twiddle-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Twiddle Factors https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/35eb2784-8bda-425c-967a-20e267288008/Butterfly+Texture+Indices-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Indices https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/94cdc23d-f35a-4d9b-bcdc-0a0017c07175/Butterfly+Texture+Indices+UV-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Indices remapped to [0,1] https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/c1c9f4cf-5065-4d6c-a91a-9b45c19b9ad5/Gaussian+Random-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Gaussian Random Numbers https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/7e9e8fde-b443-45b3-8133-356b04fcdfc8/Bit+Reversal+LUT-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Bit-Reversal LUT https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/4a46e6ca-5cf0-4f5d-b262-f6ccba38d0d3/K.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/50e06a40-6a81-47b7-a9e0-c2d80f7b5fd4/Phillips+Spectrum+0-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out 0º https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/4671604a-b35d-446a-a3eb-07f733179977/Phillips+Spectrum+45-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out 45º https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/11d88d59-f5b0-4d33-b74a-95c9cf6663d7/Phillips+Spectrum+sin-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out sin(uv) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/b503702d-6aff-4495-a827-0c1fb8f6dc8e/Phillips+Spectrum+sin+0.5-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out (0º + sin(uv)) / 2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/f32c85c0-c487-48aa-ae6e-4eca6dacbe9d/H_kt_dz+45-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out 45º https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/145ce552-3f84-4b6d-8d49-005205048238/H_kt_dz+sin-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out sin(uv) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/3c088c45-70cb-4c08-98d0-874cbf592074/H_kt_dz+45-min.gif Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Hz(k,t) for 45º https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/23600447-d934-4edf-9c1b-c4972f1d8ec6/H_kt_dz+sin-min.gif Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Hz(k,t) for sin(uv) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/cdd1faa2-5277-43fd-81a6-79996b93968e/H_kt_dx-min.gif Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Hx(k,t) for 45º https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/9e971dfc-90d3-4122-906d-407a1178bd71/H_kt_dy-min.gif Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Hy(k,t) for 45º https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/4a54acde-1f6d-4e9e-bbc8-ea1b6fbe6365/IFFT+horizontal+z+start-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Hz(k,t) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/40993d75-f4b2-43a0-9dad-b3a97eb557cf/IFFT+horizontal+z+0-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 0 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/5b29cba3-71f7-4a98-8e45-ad5f7efbecd1/IFFT+horizontal+z+1-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 1 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/bcfb0b08-27c3-46ae-9356-ea2a89a59ad8/IFFT+horizontal+z+2-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/6800af01-8939-415a-b799-afffadc1d66f/IFFT+horizontal+z+3-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 3 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/38253943-d687-4d0c-93b6-5ee5db77702f/IFFT+horizontal+z+4-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 4 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/af0bac6e-bb37-4244-8765-ec96e7b4674a/IFFT+horizontal+z+5-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 5 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/80b2e1ec-2f8a-4f2d-8aaf-aada74b5b6b2/IFFT+horizontal+z+6-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 6 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/b7e3c0c1-3f45-492b-87da-0bacdf9a8833/IFFT+horizontal+z+7-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 7 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/21a276fe-9856-4acf-8a99-b6ff4cc8379e/IFFT+horizontal+z+8-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 8 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/8d56b323-241d-41c8-ad3c-5dbd3dae5601/IFFT+horizontal+x+start-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Hx(k,t) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/8a2a8122-519f-49f0-b6ad-7accf9204deb/IFFT+horizontal+x+0-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 0 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/0f6dc7e0-d369-4141-aba9-715a6e65fe03/IFFT+horizontal+x+1-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 1 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/4f22bb67-fb3e-47fa-badb-59b6e0b89ef9/IFFT+horizontal+x+2-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/133b4e71-6f45-42ca-bc10-12f6c3159f4e/IFFT+horizontal+x+3-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 3 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/e6ae6c6c-fecf-4910-be46-325ee0dab05a/IFFT+horizontal+x+4-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 4 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/953998f2-3544-4ee2-aed4-ce86d55e9424/IFFT+horizontal+x+5-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 5 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/f0e750c1-d819-44c9-ae31-6bad2c165089/IFFT+horizontal+x+6-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 6 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/d3c4e752-02ce-4fae-a62c-a8ed7386521f/IFFT+horizontal+x+7-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 7 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/c7fcdbdf-8423-48cb-b3bc-82812d26e89a/IFFT+horizontal+x+8-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 8 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/ab0334af-efee-489c-a1f2-d69a2f7ba0ab/IFFT+horizontal+y+start-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Hy(k,t) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/a1d65683-62b9-4a5f-be43-7ed7119b6d0a/IFFT+horizontal+y+0-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 0 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/54ac6e85-0be1-4169-b390-6b88ea707910/IFFT+horizontal+y+1-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 1 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/19f14c40-2812-48dc-8813-4da2757a4f2f/IFFT+horizontal+y+2-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/eecb9f21-0336-434d-8e35-19a9fb5891bd/IFFT+horizontal+y+3-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 3 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/80f6912c-b6cc-4966-ac8c-bb2ff38cb479/IFFT+horizontal+y+4-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 4 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/f60f6f61-1625-43aa-99b1-3b2592706010/IFFT+horizontal+y+5-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 5 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/4e361716-ffd1-4510-b255-cd486381168f/IFFT+horizontal+y+6-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 6 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/a24b8f57-61d8-4a81-a2cf-2934f4fd0f19/IFFT+horizontal+y+7-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 7 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/c714bd0d-59eb-4c06-80bd-3584ec7c8e43/IFFT+horizontal+y+8-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 8 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/eca82cef-8bd9-42e4-a298-47acca071efc/IFFT+vertical+z+0-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 0 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/9535130f-53f2-4460-b7ba-896267baf9dc/IFFT+vertical+z+1-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 1 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/664cd4fc-63ea-45ae-a870-3511a49c489d/IFFT+vertical+z+2-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/78dcba85-ac28-40f8-ba68-2ef8a1557d6b/IFFT+vertical+z+3-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 3 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/79760717-86bf-45a1-a1fb-311fca28e145/IFFT+vertical+z+4-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 4 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/583c72df-ddb5-428d-9595-479122559adf/IFFT+vertical+z+5-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 5 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/2badd1b9-a2ec-4296-a764-eeab5d9fb656/IFFT+vertical+z+6-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 6 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/7c5ce5a7-3969-43e2-bbe2-dc57558e747f/IFFT+vertical+z+7-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 7 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/3aa8e528-7439-4e28-9e51-87cf06cdcd30/IFFT+vertical+z+8-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Z Stage 8 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/b03879a2-d381-4fb0-9f57-dfb6c254a04f/IFFT+vertical+x+0-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 0 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/8769f615-0259-4e9e-afdf-71ed6e318d01/IFFT+vertical+x+1-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 1 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/724b466c-d716-4434-8c0c-0a726166963c/IFFT+vertical+x+2-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/a2cf98ca-cc93-4a5e-82bc-cd2e815202f2/IFFT+vertical+x+3-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 3 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/bccae02c-34fc-40c3-aeca-1b3390ace2b3/IFFT+vertical+x+4-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 4 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/4ea816cb-61c6-4424-88a9-0cf9753dc6e2/IFFT+vertical+x+5-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 5 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/5233b7fb-c116-4e81-8095-497ba07f4afe/IFFT+vertical+x+6-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 6 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/314dbacd-56b7-4685-8494-ac9d6b9b6bad/IFFT+vertical+x+7-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 7 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/ff710680-90b0-4c62-9f40-2d484dffc3c2/IFFT+vertical+x+8-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out X Stage 8 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/eb8ddb00-c0bf-4eb0-bd89-89bc29de41b3/IFFT+vertical+y+0-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 0 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/8920bac0-9b93-4e05-875f-825e621480c8/IFFT+vertical+y+1-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 1 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/d09b1d3f-2731-4a0d-a865-a71e026b291e/IFFT+vertical+y+2-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/f3668288-349e-4c7c-8862-6a53d806ad3e/IFFT+vertical+y+3-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 3 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/0b9d7f58-b0e7-465a-9951-a35ee2ae0084/IFFT+vertical+y+4-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 4 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/f8d3390e-4a47-462e-9aa3-496d8297ef33/IFFT+vertical+y+5-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 5 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/b9e2c379-bb83-443c-a7e2-7c5e0f07c075/IFFT+vertical+y+6-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 6 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/379e027f-1edf-404e-aafc-e7c11e411cdd/IFFT+vertical+y+7-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 7 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/9f9e1740-7f13-4d18-b000-f4b69967bc69/IFFT+vertical+z+8-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Y Stage 8 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/a5129593-c3aa-4631-a92e-79e8db72d6e9/Displacement+Map-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/ff237d8f-dc86-4d4a-94c4-67e343f50464/Heightmap-min.gif Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/17a81d86-ebbe-4e08-bc98-5e7e49267f3d/Normal+Map-min.gif Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/8ddbc882-4271-49ec-8552-d22af133ecd8/Surface+POV-min.gif Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/72233bc7-3561-44c7-973a-a6f94f56986b/Jacobian+Matrix-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/97da96da-ae2b-4459-92ce-05e177a55724/DDX-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/b8695263-b0c7-41de-8a79-8ec0852ec83c/DDY-min.png Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/aadcb116-dd12-4934-a45c-7b7b27c85d6d/Folding+Map+-1-min.gif Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out λ = -1 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/01ee641f-3def-4775-a526-0f6ff22ce551/Folding+Map+10-min.gif Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out A = 10 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/79d023d4-948f-41fd-a855-201e75b52dc3/Folding+Map+-3-min.gif Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out λ = -3 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/ca32dbbb-9b92-4437-a3b3-977772ea85bc/Folding+Map+sin-min.gif Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out W = sin(uv) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/fbdf6544-5fa4-4068-9b8e-0f9fcd26bd0e/Surface-min.gif Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Jacobian Factor = 1 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/ebb3b7a1-71ad-4212-ae29-32b9fcca66c2/Surface+2-min.gif Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Jacobian Factor = 2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/cd49be6b-3c8e-4a44-8d3a-f23408b37610/Surface+POV+Foam-min.gif Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Jacobian Factor = 1 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/62651839-84fb-4c6b-93bf-68ccb026f98a/Surface+POV+Foam+3-min.gif Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out Jacobian Factor = 3 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/9bfe5586-90ef-4264-9341-f0897ebe7679/Surface+POV+Foam+sin-min.gif Project and Concept Explanations - Simulating Deep Ocean Waves - Make it stand out W = sin(uv) https://www.ixm-ibrahim.com/explanations/2d-fluid-simulation monthly 0.5 2021-05-29 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618270402114-H65OIUKMXXEOP65MLUFF/head-min.JPG Project and Concept Explanations - 2D Fluid Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618279073346-V2CDSPRPHRGQO28SB7R4/navier+stokes.jpg Project and Concept Explanations - 2D Fluid Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618353574490-8DQN6WDY02396UT688S3/del-min.jpg Project and Concept Explanations - 2D Fluid Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618280805979-LWB8RVVRHG77PO052EWW/helmboltz-hodge-min.jpg Project and Concept Explanations - 2D Fluid Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618281523468-JZRBW00VSY6FTZTFCOP6/projection-min.jpg Project and Concept Explanations - 2D Fluid Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618282467352-CYDKFLYNYV7GJ4DDL7U0/advection-min.jpg Project and Concept Explanations - 2D Fluid Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618359000677-YE02CKRI378APMNY7TI3/advection+1-min.gif Project and Concept Explanations - 2D Fluid Simulation Initial Velocity = sin(y)î + sin(x)ĵ https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618358958441-XQ6QF4WGTDNJOKKWG555/advection+2-min.gif Project and Concept Explanations - 2D Fluid Simulation Initial Velocity = sin(x)î + sin(y)ĵ https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618296216304-LEPHZIY5ODDIS9HXX6UW/viscous+diffusion+equation-min.jpg Project and Concept Explanations - 2D Fluid Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618363828091-1583K01P48KHGK3OXM7K/viscosity+5-min.gif Project and Concept Explanations - 2D Fluid Simulation Viscosity: 5 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618363837623-BFKIN4PRRQ9I2YZMDPFM/viscosity+20-min.gif Project and Concept Explanations - 2D Fluid Simulation Viscosity: 20 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618366184591-YVMNUATXFIACO1IK7RNS/forces+1-min.gif Project and Concept Explanations - 2D Fluid Simulation Temp - AmbientTemp: 0.1, TempBuoyancy: 0.2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618366952137-FDHA1IFC16PMLPW2OBHU/vorticity+2-min.gif Project and Concept Explanations - 2D Fluid Simulation Vorticity: 2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618366186698-IYOE670U48J5RT8UOLL6/forces+2-min.gif Project and Concept Explanations - 2D Fluid Simulation Density * MassScale: 0.05 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618366966601-73G0A41BZRQS9DYANSFW/vorticity+10-min.gif Project and Concept Explanations - 2D Fluid Simulation Vorticity: 10 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618349886470-WP456UE05GDUHRQ4D211/poisson+pressure+equation-min.jpg Project and Concept Explanations - 2D Fluid Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618370547407-57Q1XPVN655W5MNSFJHL/pressure+1-min.gif Project and Concept Explanations - 2D Fluid Simulation Initial Velocity = sin(y)î + sin(x)ĵ https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618370594037-QXTCJH8AO9FIM75VGYXU/pressure+3-min.gif Project and Concept Explanations - 2D Fluid Simulation Viscosity: 5 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618370589550-MDQ8DAVF48D780X0FE29/pressure+5-min.gif Project and Concept Explanations - 2D Fluid Simulation Temp - AmbientTemp: 0.1, TempBuoyancy: 0.2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618370594223-669CZR9W592ORJDTQ59C/pressure+7-min.gif Project and Concept Explanations - 2D Fluid Simulation Vorticity: 2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618370589675-CSAHEMRXCP9KW99ILWKN/pressure+2-min.gif Project and Concept Explanations - 2D Fluid Simulation Initial Velocity = sin(x)î + sin(y)ĵ https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618370596741-4TANT458AS809PYE45QI/pressure+4-min.gif Project and Concept Explanations - 2D Fluid Simulation Viscosity: 20 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618370591307-DYQFEXBYWLZDRLYZ36WG/pressure+6-min.gif Project and Concept Explanations - 2D Fluid Simulation Density * MassScale: 0.05 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618370572398-JQ999HZQ63TH6S93ZJ18/pressure+8-min.gif Project and Concept Explanations - 2D Fluid Simulation Vorticity: 10 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618371908208-P6SXTI0H5TVRLW4SODOE/color+1-min.gif Project and Concept Explanations - 2D Fluid Simulation Initial Velocity = sin(y)î + sin(x)ĵ https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618371661256-MY4F5CSR3K6SBMN9RFDA/color+2-min.gif Project and Concept Explanations - 2D Fluid Simulation Initial Velocity = sin(x)î + sin(y)ĵ https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618373938776-XOOU2H1NFOEYFDJ4LRMZ/blueprint+1-min.JPG Project and Concept Explanations - 2D Fluid Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618373945978-1O96CWJZNAP3ALIRLW3C/blueprint+2-min.JPG Project and Concept Explanations - 2D Fluid Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618386259361-2FFA6SYRLE1K5HM8EI7B/mouse+1-min.gif Project and Concept Explanations - 2D Fluid Simulation No Mouse Color, Vorticity: 0 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618386232896-I2B68UGBGQU8SU6N0GTY/mouse+3-min.gif Project and Concept Explanations - 2D Fluid Simulation Mouse Color, Vorticity: 0 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618386261538-QKKYWRGSLJZ1MAMYHYZ8/mouse+2-min.gif Project and Concept Explanations - 2D Fluid Simulation No Mouse Color, Vorticity: 2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618386240393-JT4HR9HG1KC53O1DVPMV/mouse+4-min.gif Project and Concept Explanations - 2D Fluid Simulation Mouse Color, Vorticity: 2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618878990320-FC7EM348AADYA06HQLCB/obstacle+1-min.gif Project and Concept Explanations - 2D Fluid Simulation Fluid movement without obstacle https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618878991008-BJCUXWSG38SFQEU08TQS/obstacle+2-min.gif Project and Concept Explanations - 2D Fluid Simulation Fluid movement with obstacle https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618879153748-DZBXQAB512NRI27FV1HS/border+1-min.JPG Project and Concept Explanations - 2D Fluid Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618879167818-AQVT5NFDR7OLERC0G77H/border+2-min.JPG Project and Concept Explanations - 2D Fluid Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618879186584-OJOBWL1U7C1EIKQ9S3Z5/border+3-min.JPG Project and Concept Explanations - 2D Fluid Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618879504520-RJFRPG9Y1RBG6BO4EOHI/obstacle+1-min.JPG Project and Concept Explanations - 2D Fluid Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618878956724-DGXYEPV25F8ZQ4OMEPN6/obstacle+2-min.JPG Project and Concept Explanations - 2D Fluid Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618952072892-UQGW1RAXM693DDWJLY8Z/player+1-min.gif Project and Concept Explanations - 2D Fluid Simulation Without player velocity https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618952084458-OTDJKG58RWTLLVE877LQ/player+2-min.gif Project and Concept Explanations - 2D Fluid Simulation With player velocity https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1618951998237-NQWDW1JB7JHD5CS1JD60/collision-min.JPG Project and Concept Explanations - 2D Fluid Simulation https://www.ixm-ibrahim.com/explanations/project-tsunami-simulation monthly 0.5 2021-06-11 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1623204098809-0J8UW2MDV3VO9B4MDJ7G/5-min.PNG Project and Concept Explanations - Project: Tsunami Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615355174086-9NHIEUG57BCE5C6E45HR/test_%2Bscaled_cubicspline_topography_bathymetry-min.jpg Project and Concept Explanations - Project: Tsunami Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615360575302-F9WQPQTY5HPFDXCLU70P/terrain-min.PNG Project and Concept Explanations - Project: Tsunami Simulation Inaccurately scaled DEM https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615360788587-NH4ZEIN61ZUPZYLSXI33/actual-min.png Project and Concept Explanations - Project: Tsunami Simulation Sea level visualization from an external software https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615360806047-A76FX8K5V6H5IIT3SP7O/resulting-min.png Project and Concept Explanations - Project: Tsunami Simulation Sea level visualization in Unreal Engine https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615361893196-4FVIHUSP9HUYEIJI7LYM/1-min.png Project and Concept Explanations - Project: Tsunami Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615361836767-3PTE5U59M30SWJVM1KRH/5-min.png Project and Concept Explanations - Project: Tsunami Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615361880075-32D6XJX97FQPSKE29V0Q/2-min.png Project and Concept Explanations - Project: Tsunami Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615361824186-G9GQ4HDQX51BR2JLL60S/6-min.png Project and Concept Explanations - Project: Tsunami Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615361869147-3N8APG9G6E4YXVHLCX00/3-min.png Project and Concept Explanations - Project: Tsunami Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615361812501-0QKCDIC1RTJZVSS0MODS/7-min.png Project and Concept Explanations - Project: Tsunami Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615361847758-WR46USOCP2OA4WU9V45R/4-min.png Project and Concept Explanations - Project: Tsunami Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615361800773-8O09QQGP6GZD9RT52TDI/8-min.png Project and Concept Explanations - Project: Tsunami Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615361778046-U0UQOB40KXP1Z2FWXK2Z/colored_4-min.png Project and Concept Explanations - Project: Tsunami Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615361790185-BBCUALA531MYMQKOINX2/colored_8-min.png Project and Concept Explanations - Project: Tsunami Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615366176133-FSQWRE9ADH32X4PAVRKD/tsunami_sim_basic.gif Project and Concept Explanations - Project: Tsunami Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1619842673180-VKNC7J34O4R9EIIMIA90/blueprint-min.JPG Project and Concept Explanations - Project: Tsunami Simulation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1623208302525-Y6CPZH26FAF925GBFHE0/1-min.PNG Project and Concept Explanations - Project: Tsunami Simulation - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1623208946033-G54HYGQYYHC7Z2LX6OEP/6-min.PNG Project and Concept Explanations - 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Simulating Water Ripples https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1614932674342-59RTSYBNSAIPBWT2BLL8/ripples+0-min.jpg Project and Concept Explanations - Simulating Water Ripples https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1614987929066-XXWRSUVOXDVRLWGACZ44/ripples_stationary-min.gif Project and Concept Explanations - Simulating Water Ripples https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1614933026225-HEEB5P1UX9KBJIBHQZEV/ripples+1-min.jpg Project and Concept Explanations - Simulating Water Ripples https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1614933056182-LGDRDQ5C94R2RWQ9EY1B/ripples+2-min.jpg Project and Concept Explanations - Simulating Water Ripples https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1614995434656-A96P9YPWV20Z29K859WH/ripples_vanilla-min-more.gif Project and Concept Explanations - Simulating Water Ripples https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1614933665858-UQY5F3PIC93UFW3Z8QR2/ripples_clamp-min.gif Project and Concept Explanations - Simulating Water Ripples https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1614933160239-FQCD44PGJ9907DC686E0/ripples_wrap-min.gif Project and Concept Explanations - Simulating Water Ripples https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1614933081905-SHB4GYSC5UOGGGQHPU2P/ripples+3-min.jpg Project and Concept Explanations - Simulating Water Ripples https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615008796404-0FZAZBMV4ST5D8G4DKXS/flow.JPG Project and Concept Explanations - Simulating Water Ripples https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615008827323-6H2M36Z6HH4D8NZMXLAH/sim.JPG Project and Concept Explanations - Simulating Water Ripples https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615010093221-NUHE8ISVDVA3D28TZAD6/ripples_demo-min.gif Project and Concept Explanations - Simulating Water Ripples https://www.ixm-ibrahim.com/explanations/project-geodesic-dome-knots monthly 0.5 2021-05-30 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615488323839-R2AJ2BJMN3Z2S3EY61PD/geodesic%2Bknots%2Bhead-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots Click to see gallery of full-sized images… https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615512604641-NHHPKTWACYITGOXQ126M/rings+angle+change%2C+15-75.gif Project and Concept Explanations - Project: Geodesic Dome Knots Changing the angle for the Rings design https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615498749024-21XF1XXLLVH80D5LDDLH/1%252C15%252C0.9%2B-%2Bopengl-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots Rings; Sharpness: 1, Angle: 15°, Scale: 0.7 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615498797622-KGDFMQPB53EGUH60ZATA/1%252C15%252C0.9%2B-%2Bobj%252C%2B0.005-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.005 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615512809931-C838A1OYDNLA0ECGI3GS/weave+angle+change%2C+0-360.gif Project and Concept Explanations - Project: Geodesic Dome Knots Changing the angle for the Weave design https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615507734676-DXMX5MK2X04N2U7LIUDX/1%252C15%252C0.9%2Bflat%2B-%2Bopengl-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots Rings; Sharpness: 1, Angle: 15°, Scale: 0.7, Z-Offset: 0 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615510657243-CP3TP9HKNTPZXMEH63AE/1%25252C15%25252C0.9%252Bflat%252B-%252Bobj%25252C%252B0.005-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.01 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615498839791-Q5V0KCUWDJY77NDJO0JP/1%252C15%252C0.9%2B-%2Bobj%252C%2B0.01-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.01 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615498980409-8ZAKKHJ9LX3U903S7KYW/1%252C15%252C0.9%2B-%2Bobj%252C%2B0.015-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.015 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615498950145-0GQQ0X5A6P8HZVHYTZIB/1%252C12%252C0.82%2B-%2Bopengl-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots Rings; Sharpness: 1, Angle: 12°, Scale: 0.82 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615499488401-CMGLUI7S390QAHJNKXC2/1%252C0%252C0.85%2B-%2Bopengl-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots Rings; Sharpness: 1, Angle: 0°, Scale: 0.85 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615499712192-6Q97NZ88W5CY6XFVTI60/1%252C0%252C0.85%2B-%2Bobj%252C%2B.01-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.01 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615499629264-RJUF2TDMTJTM2LFO3IE1/1%252C0%252C0.85%2B-%2Bobj%252C%2B.015-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.015 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615499934961-WY5XRPCJX9GY9UK1GBX7/0%252C15%252C0.8%2B-%2Bopengl-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots Rings; Sharpness: 0, Angle: 15°, Scale: 0.8 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615500007126-SP6ZSUYA6B61D7HALBFJ/0%252C15%252C0.8%2B-%2Bobj%252C%2B0.01-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.01 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615500094043-YYK5JL1KNJRQ1U2ID441/0%252C15%252C0.8%2B-%2Bobj%252C%2B0.015-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.015 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615510673103-95XMBBCOPZA6Y3KIRQX8/1%25252C15%25252C0.9%252Bflat%252B-%252Bobj%25252C%252B0.01-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.015 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615510695855-4M4YW8X567QZLD7WNA9R/1%25252C15%25252C0.9%252Bflat%252B-%252Bobj%25252C%252B0.02-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.02 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615499336672-WH50QDTFWS3BGC0NSQS8/1%252C12%252C0.82%2B-%2Bobj%252C%2B.01-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.01 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615499790476-9TTW63PFE5BPJYBLG1LX/1%252C30%252C0.85%2B-%2Bopengl-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots Rings; Sharpness: 1, Angle: 30°, Scale: 0.85 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615499657204-FDZ8MFWV6N08PL2RVERL/1%252C30%252C0.85%2B-%2Bobj%252C%2B.01-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.01 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615499609118-2IVHDAHL4M0M26IN6FW1/1%252C30%252C0.85%2B-%2Bobj%252C%2B.015-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.015 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615499968304-FHNPYHQ2EVYR9KIT43WA/-1%252C15%252C0.7%2B-%2Bopengl.jpg Project and Concept Explanations - Project: Geodesic Dome Knots Rings; Sharpness: -1, Angle: 15°, Scale: 0.7 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615500135364-PCEA78XZKPVO1HFK2MYZ/-1%252C15%252C0.7%2B-%2Bobj%252C%2B0.007-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.007 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615500045729-SOOWO09VQPSWBWFWQIHT/-1%252C15%252C0.7%2B-%2Bobj%252C%2B0.01-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.01 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615503401485-4LG1CY9M2LGI4ZLJWTD6/white%2Brings.jpg Project and Concept Explanations - Project: Geodesic Dome Knots 3D-Printed Geodesic Rings, White https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615503518301-1EJ75IQDM2TTW0PUSXPN/grey%2Brings-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots 3D-Printed Geodesic Rings, Grey https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615504517609-8NARMVEY32KQNBNWLPL6/weave%2B-%2Bopengl-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots Weave https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615504621569-PG8BAYXP5JFOPG8SU8L9/weave%2B-%2Bobj%252C%2B.01-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.01 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615504751427-99I7ENBUH4HQLZ58SGV9/weave%2B-%2Bobj%252C%2B.015-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.015 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615505008736-DW9L8ORDY68W7OQHUGJW/weave%2B-%2Bobj%252C%2B.02-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.02 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615504553316-PU3K2KMKKN0K20MBLLOI/weave%2Bflat%2B-%2Bopengl-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots Weave; Z-Offset: 0 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615504593853-Y40L5AGN3H3V7HRNM63E/weave%2Bflat%2B-%2Bobj%252C%2B.01-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.01 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615504830989-BQAAIY9JH8GDIKKH9I86/weave%2Bflat%2B-%2Bobj%252C%2B.02-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.02 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615505049296-7PL65CUH559W34JA1429/weave%2Bflat%2B-%2Bobj%252C%2B.03-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.03 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615513168487-VBMSJJEO9S9NN2SN9RFU/white%252Bweave-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots 3D-Printed Geodesic Weave, White https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615505299261-2OWFPCIT8MMW1VK2DINF/purple%2Bweave-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots 3D-Printed Geodesic Weave, Purple https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615514592697-5TGTSVW0DF9FRC1CARJ2/braid%2B-%2Bopengl-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots Braid; Z-Offset: 0.25 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615514647342-X0DRW0QK6B5UD58G9FQU/braid%2B-%2Bobj%252C%2B0.005-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.005 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615514691715-JUOSU5BW6B7QMZ7FJVN5/braid%2B-%2Bobj%252C%2B0.01-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.01 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615514743964-7L6O9FTY235F83S0Z9GU/braid%2B-%2Bobj%252C%2B0.02-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.02 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615514621777-WC461VV0JIJ8KE8GFWOB/braid%252C%2Bflat%2B-%2Bopengl-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots Braid; Z-Offset: 0 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615514673008-NPOYOE497IVOH8LKITJ5/braid%252C%2Bflat%2B-%2Bobj%252C%2B0.01-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.01 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615514720000-MK6TFX8IG9TUWQVJHLSR/braid%252C%2Bflat%2B-%2Bobj%252C%2B0.02-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.02 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615514764782-P4XJ30F8O70BWZOAFMJ7/braid%252C%2Bflat%2B-%2Bobj%252C%2B0.03-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Pipe Radius: 0.03 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615514795952-USNFZET34LT3FB9FRAWQ/braid%252C%2Bflat%2B-%2Bobj%252C%2B0.1-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots OBJ Export; Z-Offset: 0, Pipe Radius: 0.1 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615514862565-K0NQ6RUQ09G3CKIPEFJI/blue%2Bbraid-min.jpg Project and Concept Explanations - Project: Geodesic Dome Knots 3D-Printed Geodesic Braids, Blue https://www.ixm-ibrahim.com/explanations/project-fractal-planets monthly 0.5 2021-05-30 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616985735607-IAJNL7727CR8BI54Q7ZJ/head-min.JPG Project and Concept Explanations - Project: Fractal Planets Click to see gallery of full-sized images… https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616987521630-NRL0XH0CJMUOIH1LGTGX/Julia%2B%2528-0.777558%252C%2B-0.110699%2529%252C%2Bfolds%2B-%2B1%252C%2Boffset%2B-%2B%25280%252C0.4%2529%2B-min.jpg Project and Concept Explanations - Project: Fractal Planets 1-Fold (Perpendicular Burning Ship) Julia Set at (-0.777558, -0.110699) with offset by (0,0.4) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616987567994-HYZ9S2RAK2W4O0ZB9588/Julia%2B%2528-0.775617%252C%2B0.123567%2529-min.jpg Project and Concept Explanations - Project: Fractal Planets Classic Julia Set at (-0.775617, 0.123567) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616987603007-TVD3SWGITYB96CWZ2W8I/Julia%2B%2528-0.603132%252C%2B0.503073%2529%2B%25282%2529-min.jpg Project and Concept Explanations - Project: Fractal Planets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616987616545-0FGXNWF3ZQ1HBSY537D0/Julia%2B%2528-0.603132%252C%2B0.503073%2529-min.jpg Project and Concept Explanations - Project: Fractal Planets Classic Julia Sets at (-0.603132, 0.503073) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616987204895-LO37HNFO7KUCQAFUGLDS/Julia+%28-0.3802%2C+0.68724%29%2C+folds+-+1%2C+offset+-+%280%2C0.4%29+-min.JPG Project and Concept Explanations - Project: Fractal Planets 1-Fold (Perpendicular Burning Ship) Julia Set at (-0.3802, 0.68724) with offset by (0,0.4) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616987675566-TYNK86NC4RD6LRFO6FJJ/Burning%2BShip%2BJulia%2B%2528-0.784302%252C%2B-0.0414726%2529-min.jpg Project and Concept Explanations - Project: Fractal Planets 2-Fold (Burning Ship) Julia Set at (-0.784302, -0.0414726) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616987754385-9CQB0P5JQIA6NUJJN91A/Mandelbrot%2B%2528-1.26148%252C%2B-0.0470563%2529%2B%25282%2529-min.jpg Project and Concept Explanations - Project: Fractal Planets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616987773092-VIJ3MZR4TIIGJYBJS0SZ/Mandelbrot%2B%2528-1.26148%252C%2B-0.0470563%2529-min.jpg Project and Concept Explanations - Project: Fractal Planets Classic Mandelbrot Set centered at (-1.26148, -0.0470563) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616987785335-HN3YQYKPNQ9MIKH6DCX8/Burning%2BShip%2BJulia%2B%25280.447795%252C%2B0.645237%2529-min.jpg Project and Concept Explanations - Project: Fractal Planets 2-Fold (Burning Ship) Julia Set at (0.447795, 0.645237) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616987877889-LI3N3QF3MOVRP67B4RPR/Julia%2B%25280.00272487%252C%2B-0.785393%2529%252C%2Bfolds%2B-%2B1%252C%2Boffset%2B-%2B%25280%252C2%2529%2B-min.jpg Project and Concept Explanations - Project: Fractal Planets 1-Fold (Perpendicular Burning Ship) Julia Set at (0.00272487, -0.785393) with offset by (0,2) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616987392271-2VT0EXLCG7J7UXGNUS2D/maxIteraion+increase+at+Julia+%28-0.438354%2C+-0.65168%29.gif Project and Concept Explanations - Project: Fractal Planets Increasing Maximum Iteration of Classic Julia Set at (-0.438354, -0.65168) https://www.ixm-ibrahim.com/explanations/project-visualizing-the-mandelbulb monthly 0.5 2021-05-30 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615069674479-A5ZT2LW9O0WNGEO9KLAP/mandelbulb.png Project and Concept Explanations - Project: Visualizing the Mandelbulb Click to see gallery of full-sized images… https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615077716149-BI1E4ZAAYNE8WH5GAWR2/mandelbulb_raytracing_change-min.gif Project and Concept Explanations - Project: Visualizing the Mandelbulb Increasing the raymarching step from 0.01 to 0.5 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615077418493-KOZFQT86QPOU5M5U5F8A/mandelbulb_power_change_better-min.gif Project and Concept Explanations - Project: Visualizing the Mandelbulb Increasing the Mandelbulb’s power from 0 to 20 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615077915080-DFQ697ZNF4N1RTMNH5AS/mandelbulb_phi_shift_backward-min.gif Project and Concept Explanations - Project: Visualizing the Mandelbulb Decreasing the phi shift, looping from 0 to 2π https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615077994463-9TQI6CC0P4QPIHJIZVB6/mandelbulb_theta_shift_backward-min.gif Project and Concept Explanations - Project: Visualizing the Mandelbulb Decreasing the theta shift, looping from 0 to 2π https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615078168796-JRMLJ3WAKS3VI3KLSKTP/mandelbulb_power_2_bailout_change-min.gif Project and Concept Explanations - Project: Visualizing the Mandelbulb Increasing the power 2 Mandelbulb’s bailout from 0 to 100 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615077474727-QSP3LCTH1SPMDK3Y4LZ1/mandelbulb_power_change_fast-min.gif Project and Concept Explanations - Project: Visualizing the Mandelbulb Increasing the Mandelbulb’s power from 0 to 200 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615077950648-F3BF22BDP30A6CPEWR0S/mandelbulb_phi_shift_forward-min.gif Project and Concept Explanations - Project: Visualizing the Mandelbulb Increasing the phi shift, looping from 0 to 2π https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615078052036-1M189Q02CAUAWK5T49ZH/mandelbulb_theta_shift_forward-min.gif Project and Concept Explanations - Project: Visualizing the Mandelbulb Increasing the theta shift, looping from 0 to 2π https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615078234603-MXDKMESU89KJ2DVJN0XD/mandelbulb_power_8_bailout_change-min.gif Project and Concept Explanations - Project: Visualizing the Mandelbulb Increasing the power 8 Mandelbulb’s bailout from 0 to 40 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615078616475-1LVZWVW2WJEU860JJAF1/power+2-min.png Project and Concept Explanations - Project: Visualizing the Mandelbulb The power 2 Mandelbulb https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615078688473-GHPHAL87V4RTNZISROJ1/power+8-min.png Project and Concept Explanations - Project: Visualizing the Mandelbulb The power 8 Mandelbulb https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615078714167-40W6CEW4A37YIKSYFC6D/power+8+front+better-min.png Project and Concept Explanations - Project: Visualizing the Mandelbulb The power 8 Mandelbulb, looking down from the top https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615078746673-QN98NHRLSDYG7CLTD8NE/Mandelbulb+Eyes+%28Power+42%29-min.png Project and Concept Explanations - Project: Visualizing the Mandelbulb “Eyes”: The power 42 Mandelbulb https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615078825825-H8AYLHRS87EH8CQ6RLH2/Mandelman+2-min.png Project and Concept Explanations - Project: Visualizing the Mandelbulb The “Mandelman” hiding… https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615078844333-W1I0YLYZ6126M6TUV30B/Mandelman+3-min.png Project and Concept Explanations - Project: Visualizing the Mandelbulb … and peeking out https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615078864612-MOXX9JL3CSS0FB0SMALB/Sunset+on+the+Mandelbulb-min.png Project and Concept Explanations - Project: Visualizing the Mandelbulb “Sunset on the Mandelbulb” https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615078882249-I1KPODLWBYHRWP7UAFF1/Autumn+Sunset+of+the+Mandelbulb-min.png Project and Concept Explanations - Project: Visualizing the Mandelbulb “Autumn Sunset on the Mandelbulb” https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615078938966-RT4A7PJFGRUKC24Q08CU/Mandelbulb+Julia+Set+at+%28-0.7269%2C+0.1889%2C+0%29-min.png Project and Concept Explanations - Project: Visualizing the Mandelbulb Julia Set of the power 2 Mandelbulb at (-0.7269, 0.1889, 0) https://www.ixm-ibrahim.com/explanations/project-bigdouble monthly 0.5 2021-03-13 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615274683345-I1ZCWXUWK4AM8KFG4636/bigdouble+head-min.png Project and Concept Explanations - Project: BigDouble https://www.ixm-ibrahim.com/explanations/project-visualizing-julia-set-matings monthly 0.5 2021-05-30 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615316990734-ZJWOKEM75TS9AUT5ODEC/matings+head-min.png Project and Concept Explanations - Project: Visualizing Julia Set Matings Click to see gallery of full-sized images… https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616903924309-3PADTWQNISOIEADEANNO/basilica%2Bvs%2Brabbit-min.jpg Project and Concept Explanations - Project: Visualizing Julia Set Matings Basilica vs. Rabbit https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616903959514-82ZNR8FZNPLAYQDJT68L/basilica%2Bvs%2Brabbit%2Binverse-min.jpg Project and Concept Explanations - Project: Visualizing Julia Set Matings Rabbit vs. Basilica https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616904017309-9Y3Z79GR2QO0WCL72BVT/dendrite%2Bvs%2Bbasilica-min.jpg Project and Concept Explanations - Project: Visualizing Julia Set Matings Dendrite vs. Basilica https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616904073676-5VRW8FLQVYQOJRZ05LZ4/dendrite%2Bvs%2Bbasilica%2Binverse-min.jpg Project and Concept Explanations - Project: Visualizing Julia Set Matings Basilica vs. Dendrite https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616904127248-OAA00H2HNKG41K8HDO1P/basilica%2Bvs%2Bkokopelli-min.jpg Project and Concept Explanations - Project: Visualizing Julia Set Matings Basilica vs. Kokopelli https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616904318215-TXYG5ZZU97E8VBSN1QMK/basilica%2Bvs%2Bkokopelli%2Binverse-min.jpg Project and Concept Explanations - Project: Visualizing Julia Set Matings Kokopelli vs. Basilica https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616904500713-9PY9M1PZE2HQXL1HDN24/kokopelli%2Bvs.%2Bdendrite-min.jpg Project and Concept Explanations - Project: Visualizing Julia Set Matings Kokopelli vs. Dendrite https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616904643470-D797QDBRAH1DKBFYFY34/basilica%2Bvs%2Bbasilica-min.jpg Project and Concept Explanations - Project: Visualizing Julia Set Matings Basilica vs. Basilica https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616904695003-HWS9BCJW98QWWNX5VRO0/%2528-.835%252C%2B-.2321%2529%2Bvs.%2B%2528.285%252C%2B-.01%2529-min.jpg Project and Concept Explanations - Project: Visualizing Julia Set Matings (-.835, -.2321) vs. (.285, -.01) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616904800713-4VOM7ESS4C0IH1VB2KM7/%252528-.835046398%25252C%252B-.231926809%252529%252Bvs.%252B%252528.284884537%25252C%252B-.011121822%252529-min.jpg Project and Concept Explanations - Project: Visualizing Julia Set Matings (-.835046398, -.231926809) vs. (.284884537, -.011121822) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616904843994-38Z6X3VRNX58JZ90MA2D/%2528.28%252C%2B.008%2529%2Bvs.%2B%2528-.4%252C%2B-.59%2529-min.jpg Project and Concept Explanations - Project: Visualizing Julia Set Matings (.28, .008) vs. (-.4, -.59) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616904878209-41E2CQLY7FJYQOP2SBI2/%2528.28%252C%2B.008%2529%2Bvs.%2B%2528.284884537%252C%2B-.011121822%2529-min.jpg Project and Concept Explanations - Project: Visualizing Julia Set Matings (.28, .008) vs. (.284884537, -.011121822) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616904906394-N4K20JPT9P6ZKFB2DL7L/%2528.284884537%252C%2B-.011121822%2529%2Bvs.%2B%2528.284884537%252C%2B-.011121822%2529-min.jpg Project and Concept Explanations - Project: Visualizing Julia Set Matings (.284884537, -.011121822) vs. (.284884537, -.011121822) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616904935092-E7ZPMAN6SGE0UE9NJEUM/%2528-0.7%252C%2B.4%2529%2Bvs.%2B%2528-0.7%252C%2B.4%2529-min.jpg Project and Concept Explanations - Project: Visualizing Julia Set Matings (-0.7, .4) vs. (-0.7, .4) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616904976995-IJHQRBA9J73SA7N9RRG4/%2528-1.74957376%252C%2B-0.000107933%2529%2Bvs.%2B%2528.270970258%252C%2B-.005048222%2529-min.jpg Project and Concept Explanations - Project: Visualizing Julia Set Matings (-1.74957376, -0.000107933) vs. (.270970258, -.005048222) https://www.ixm-ibrahim.com/explanations/project-projecting-fractals-onto-the-riemann-sphere monthly 0.5 2021-05-30 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615254984757-JMAE3MBCEI1YTOK9JZEQ/riemann_mandelbrot-min.PNG Project and Concept Explanations - Project: Projecting Fractals onto the Riemann Sphere Click to see gallery of full-sized images… https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616828385561-X3JBRQWWGGUB2HKWLKG7/Mandelbrot-min.jpg Project and Concept Explanations - Project: Projecting Fractals onto the Riemann Sphere The Classic Mandelbrot Set https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616828405295-U3SC80VA75CQVQC13DE3/Julia%2B-0.77604%252C%2B-0.120879-min.jpg Project and Concept Explanations - Project: Projecting Fractals onto the Riemann Sphere A Classic Julia Set, Centered at (-0.77604, -0.120879) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616828429089-0FC9HNL3N1NM2OV6PHN7/Julia%2B-0.516976%252C%2B0.591258-min.jpg Project and Concept Explanations - Project: Projecting Fractals onto the Riemann Sphere A Classic Julia Set, Centered at (-0.516976, 0.591258) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616828504762-3S1U9GL7WQ710S0V9FOC/Lambda-min.jpg Project and Concept Explanations - Project: Projecting Fractals onto the Riemann Sphere The Lambda Set https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616828524707-PG1Z2KH7DJ5UPVU9LVLO/count_7_offset_6_1.5-min.jpg Project and Concept Explanations - Project: Projecting Fractals onto the Riemann Sphere https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616828589210-L9CVIE6EPK0L6SLPQMXS/count_7_offset_6_1.5%252B%2525285%252529-min.jpg Project and Concept Explanations - Project: Projecting Fractals onto the Riemann Sphere https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616828615262-2KEF46T5SVIII09O961M/count_7_offset_6_1.5%2B%25283%2529-min.jpg Project and Concept Explanations - Project: Projecting Fractals onto the Riemann Sphere https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616828658360-BASD18W8PKHCDEU4JBPU/count_7_offset_6_1.5%2B%25282%2529-min.jpg Project and Concept Explanations - Project: Projecting Fractals onto the Riemann Sphere 7-Fold Burning Ships, Offset by (6,1) https://www.ixm-ibrahim.com/explanations/project-visualizing-julia-and-mandelbrot-sets monthly 0.5 2021-05-30 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615528392350-S66VA9V58HAAI6HQWKW4/Mandelbrot+-+Domain_Interior+Coloring+-+Circle+OrbitTrap+-+Centered+At+%28-1.478%2C0%29+With+Radius+0.008-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Click to see gallery of full-sized images… https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616575237066-OJT2FH9SM4WWF6F7N16T/Mandelbrot%2B2-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets The Classic Mandelbrot Set https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616575201618-DDM70R1NQR8JRPS27TMY/Mandelbrot+2%2C+minibrot-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets The Largest “Minibrot” https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616575405107-UBHA9KAVZKD64E4TOCKK/Mandelbrot%2B2%252C%2Bminibrot%2527s%2Bminibrot-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets The Largest Minibrot’s Largest Minibrot https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616575442726-EEXSY3Q2BUJAITWV65NQ/Mandelbrot%2B2%252C%2BCenter%2B%2528-1.34033%252C%2B-0.0623171%2529-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Mandelbrot; Center at (-1.34033, -0.0623171) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616575476166-C38HOSGNGIGTRQBAA0J0/Mandelbrot%2B2%252C%2BCenter%2B%2528-0.751693%252C%2B0.0339021%2529-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Mandelbrot; Center at (-0.751693, 0.0339021) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616575511604-LD2PUYLB6FIYP38HHVCD/Mandelbrot%2B2%252C%2BCenter%2B%2528-0.750594%252C%2B0.0315353%2529-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Mandelbrot; Center at (-0.750594, 0.0315353) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616575545047-AZQ7LJHXNHIHW1OIPO3A/Mandelbrot%2B2%252C%2BCenter%2B%25280.270929%252C%2B0.00535877%2529-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Mandelbrot; Center at (0.270929, 0.00535877) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578639510-LLWNQ5XPWNSZVTGKNR5W/Julia%2B%25280.288814%252C%2B0%2529%252C%2Bbailout%2B-%2B2-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Julia at (0.288814, 0); Bailout: 4 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578675217-QD98PUDFMX54SLJVGSL8/Julia%2B%2528-0.749217%252C%2B-0.148962%2529%252C%2Bcenter%2B%2528-1.46603%252C%2B-0.0617793%2529-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Julia at (-0.749217, -0.148962); Center at (-1.46603, -0.0617793) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578712488-36ZAL1XXWUF3JQSC1BNB/Julia%2B%2528-0.754228%252C%2B-0.219068%2529%252C%2Bbailout%2B-%2B1.036059-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578741754-LN5Z0IY37AWUFXMZ9VLG/Julia%2B%2528-0.754228%252C%2B-0.219068%2529%252C%2Bbailout%2B-%2B1.036059%2B%25282%2529-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616575722112-WSQYDIUSPZIS3O05FV9U/Julia+%28-0.754228%2C+-0.219068%29%2C+bailout+-+1.036059+%284%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578809224-LG798SIWU8KQCBLNDEUW/Julia%2B%2528-0.754228%252C%2B-0.219068%2529%252C%2Bbailout%2B-%2B1.036059%2B%25285%2529-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Julia at (-0.754228, -0.219068); Bailout: 1.036059 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578839054-3NOO4E1CWZQ705KKJ82N/Julia%2B%2528-0.679692%252C%2B-0.383843%2529%252C%2Bbailout%2B-%2B1.036059-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578875056-2B71C7P67XITH3HIO9MT/Julia%2B%2528-0.679692%252C%2B-0.383843%2529%252C%2Bbailout%2B-%2B1.036059%2B%25282%2529-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Julia at (-0.679692, -0.383843); Bailout: 1.036059 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616575755215-NCUFCWMM15SR44SOBUPO/Julia+%28-0.774184%2C+-0.113006%29%2C+bailout+-+0.872308-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578925828-BFPO6RD0ZIV7K484CZWV/Julia%2B%2528-0.774184%252C%2B-0.113006%2529%252C%2Bbailout%2B-%2B0.956096-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578958028-X7CYRO0560AS0V28GL4D/Julia%2B%2528-0.774184%252C%2B-0.113006%2529%252C%2Bbailout%2B-%2B0.989352-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579004607-OC5TG5KI7IPWEDWQ826E/Julia%2B%2528-0.774184%252C%2B-0.113006%2529%252C%2Bbailout%2B-%2B1.03797-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579043272-B4NDETH43YVLIFI9G68N/Julia%2B%2528-0.774184%252C%2B-0.113006%2529%252C%2Bbailout%2B-%2B1.20985-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579080954-2P5B9PN3B70FBIZ479JO/Julia%2B%2528-0.774184%252C%2B-0.113006%2529%252C%2Bbailout%2B-%2B4-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Julia at (-0.774184, -0.113006); Bailouts (top to bottom): 0.87, 0.96, 0.99, 1.04, 1.21 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616593254734-A48GZ9RSHZ5Q5E7SOQLC/Julia%252B%252528-0.666273%25252C%252B0.422525%252529%25252C%252Bbailout%252B-%252B0.935198-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Julia at (-0.666273, 0.422525); Bailout: 0.935198 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616593277789-RU6ZFAF2FWAJL1HKI9ZY/Julia%252B%2525280.785388%25252C%252B0.00404554%252529%25252C%252Bbailout%252B-%252B0.82252-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Julia at (0.785388, 0.00404554); Bailout: 0.82252 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579193033-3C49J6CK76UTXA6TC1N7/Mandelbrot%252C%2Bconjugate-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Mandelbar https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579287037-E53YOSJMBB9AXKNVBLG0/Julia%2B%25280.238389%252C%2B0%2529%252C%2Bbailout%2B-%2B1.21023-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579244402-0PFFXRGWH4M7FQE3E40W/Julia%2B%25280.238389%252C%2B0%2529%252C%2Bbailout%2B-%2B1.21023%252C%2Bconjugate-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579346225-I6ULN9P2HQ36QOTI91S8/Julia%2B%25280.401752%252C%2B0.49146%2529%252C%2Bbailout%2B-%2B2-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579381783-4XH6J70KTVV3XZ6YHQM3/Julia%2B%25280.401752%252C%2B0.49146%2529%252C%2Bbailout%2B-%2B2%252C%2Bconjugate-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579509954-04B19OPGU3Y3T98NM6RH/Mandelbrot%252C%2Bpower%2B-%2B3-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579442006-78MTVXPTP4TPPO5DTB9C/Mandelbrot%252C%2Bpower%2B-%2B3%252C%2Bconjugate-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579585024-1Y61CK023PBXX06X7HWP/Julia%2B%25280.514949%252C%2B0.607646%2529%252C%2Bbailout%2B-%2B0.931158%252C%2Bpower%2B-%2B4-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Power 4 Julia at (0.514949, 0.607646); Bailout: 0.931158 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579616730-710W6ARGJ4XQKAT8M5V7/Julia%2B%25280.394578%252C%2B-0.660751%2529%252C%2Bpower%2B-%2B6-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Power 6 Julia at (0.394578, -0.660751) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579683997-8I8143C0Q943UQEF3RJM/Julia%2B%2528-0.192375%252C%2B0%2529%252C%2Bpower%2B-%2B1.5-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Power 1.5 Julia at (-0.192375, 0) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579726889-GAAE5LTDJ33EWVZX3WAO/Julia%2B%2528-0.196925%252C%2B0%2529%252C%2Bpower%2B-%2B1.5-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Power 1.5 Julia at (-0.196925, 0) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616576852194-V2SM0Q3874PSABWS467F/Julia+%28-0.435178%2C+0%29%2C+power+-+3.3-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616576861676-PDUI1VLZV1Y2IF4ONA4S/Julia+%28-0.435178%2C+0%29%2C+power+-+3.3+%282%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Power 3.3 Julia at (-0.435178, 0) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579793315-L6X0YPLE7GV3Y8KIILQH/Julia%2B%2528-1.13538%252C%2B0%2529%252C%2Bpower%2B-%2B6-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616576932821-OQ23LKFO88KN0580ANOS/Julia+%28-1.13538%2C+0%29%2C+power+-+6+%282%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Power 6 Julia at (-1.13538, 0) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616576944548-J0ZGNMQ4E2HBYP023ZW2/Julia+%28-0.758389%2C+0%29%2C+power+-+4.5-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Power 4.5 Julia at (-0.758389, 0) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579863818-Q0K0JAWZ55DUPOTQ2YT9/Julia%2B%25280.318606%252C%2B0%2529%252C%2Bpower%2B-%2B2.4-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Power 2.4 Julia at (0.318606, 0) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616588840677-191WHY8W0DWMTVKBYSXY/Julia%252B%252528-0.70806%25252C%252B0%252529%25252C%252Bpower%252B-%252B2.4-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616588814275-2L4KHNYQA10GCW28MV6K/Julia%2B%2528-0.694209%252C%2B0%2529%252C%2Bpower%2B-%2B2.4-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579900442-0YVAE7TMM5RLEDCTT849/Julia%2B%2528-1.33178%252C%2B0%2529%252C%2Bpower%2B-%2B2.1-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Power 2.1 Julia at (-1.33178, 0) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616579980454-X6P7XLKZ98MWCT5NZRVO/Lambda-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Lambda Set https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616580007889-IS898WZ6NMS07CEI0DIQ/Lambda%252C%2Bc_power%2B-%2B-0.2-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Lambda; C-Power; -0.2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616580044108-7PCULY4VOGKQACPH5EUL/Lambda%252C%2Bc_power%2B-%2B-2-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Lambda; C-Power; -2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616580119407-GDDMC2CY16MOKFPVDQN5/Lambda%252C%2Bconjugate-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Lambda Set; Conjugate https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616580154112-21XYSLBR4W2SDHL169C7/Lambda%252C%2Bc_power%2B-%2B0.5-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Lambda; C-Power; 0.5 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616577216240-NBEIRUN2GUCD2OKOFQL8/Lambda+Julia+%28-0.386444%2C+0.683748%29%2C+bailout+-+50%2C+power+-+-2-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Power -2 Lambda Julia at (-0.386444, 0.683748); Bailout: 50 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616577385895-TJRDODQNBKSN0CBCOLYJ/Lambda+Julia+%28-0.0537139%2C+0.377589%29%2C+bailout+-+100%2C+power+-+-2-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Power -2 Lambda Julia at (-0.0537139, 0.377589); Bailout: 100 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616577475024-VX90DC91Z43B4JB3X8GY/Lambda+Julia+%280.435366%2C+-0.764313%29%2C+bailout+-+600%2C+power+-+-2-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Power -2 Lambda Julia at (0.435366, -0.764313); Bailout: 600 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616577494037-S0ZHG0BJ0E1L64GO4BG3/Lambda+Julia+%28-0.0105572%2C+0.21994%29%2C+bailout+-+600%2C+power+-+-2-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Power -2 Lambda Julia at (-0.0105572, 0.21994); Bailout: 600 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616577514586-JE8FLXM32RL1VSGXSC58/Lambda+Julia+%28-0.201475%2C+0.21994%29%2C+bailout+-+600%2C+power+-+-2-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Power -2 Lambda Julia at (-0.201475, 0.21994); Bailout: 600 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616577542484-NF80LORM1GAYCO9WCCQL/Lambda+Julia+%28-0.127805%2C+0.219452%29%2C+bailout+-+600%2C+power+-+-2-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Power -2 Lambda Julia at (-0.127805, 0.219452); Bailout: 600 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616580254409-2S7CZSPZPIKPGVG2JGEC/Mandelbrot%252C%2Bfold%2Bcount%2B-%2B1-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616577820144-9UCXG41VCBGZY3S1A4BA/Mandelbrot%2C+fold+count+-+1+%282%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Perpendicular Burning Ship https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616577661320-RTGUAKJZBD94P270UCIM/Mandelbrot%2C+fold+count+-+2-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616577673775-COWSDXN5GJ648GWH3ENP/Mandelbrot%2C+fold+count+-+2+%282%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616577686334-XK7B7QT4MRIJQB7JCI8M/Mandelbrot%2C+fold+count+-+2+%283%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616577702318-N4LTE9X62CT8B0HZ1BI5/Mandelbrot%2C+fold+count+-+2+%284%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Classic Burning Ship https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616589371021-9ZR0W7JZLKX4HQWNDLVC/Mandelbrot%252C%2Bpower%2B-%2B3%252C%2Bfold%2Bcount%2B-%2B2-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616577915182-TS0FMVO6ZE0S95FU4F63/Mandelbrot%2C+power+-+3%2C+fold+count+-+2+%282%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616577951914-CC0NS4EJSWLOMDWI7OZO/Mandelbrot%2C+power+-+3%2C+fold+count+-+2+%283%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Power 3 Burning Ship https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578242639-ON1559BF15NQZR5KTEMY/Mandelbrot%2C+fold+count+-+5-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets 5-Fold Burning Ship https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578002302-7BTQMU03BVDX341KQKAU/Mandelbrot%2C+fold+count+-+1%2C+fold+offset+-+%280%2C1.5%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets 1-Fold Burning Ship; Offset by (0, 1.5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578062972-OI7LEN96OK75IZMF23PI/Mandelbrot%2C+fold+count+-+2%2C+fold+angle+-+45%2C+fold+offset+-+%280%2C2.5%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets 2-Fold Burning Ship; Angle: 45, Offset by (0, 2.5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578083032-B7BKQ2H2ZLW08K53AO6Q/Mandelbrot%2C+fold+count+-+6%2C+fold+angle+-+75%2C+fold+offset+-+%280%2C5%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets 6-Fold Burning Ship; Angle: 75, Offset by (0, 5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578100460-3QJ3VB44GIZDAFDKOZUV/Mandelbrot%2C+power+-+4%2C+fold+count+-+6%2C+fold+angle+-+75%2C+fold+offset+-+%280%2C5%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets 6-Fold Power 4 Burning Ship; Angle: 75, Offset by (0, 5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578141614-9TALGZITMCOZQDIVM4J8/Julia+%280%2C1.5%29%2C+fold+count+-+1%2C+fold+offset+-+%280%2C1.5%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets 1-Fold Burning Ship Julia at (0, 1.5); Offset by (0, 1.5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578149091-IKXM2F85F9UEAS6TPGA9/Julia+%28-0.75%2C1.5%29%2C+fold+count+-+1%2C+fold+offset+-+%280%2C1.5%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets 1-Fold Burning Ship Julia at (-1, 1.5); Offset by (0, 1.5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578164172-LXUR9WT6LHD0MF2O9WNO/Julia+%28-0.769118%2C+1.67031%29%2C+power+-+1.5%2C+fold+count+-+1%2C+fold+offset+-+%280%2C1.5%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets 1-Fold Burning Ship Julia at (-0.769118, 1.67031); Offset by (0, 1.5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578159398-VSSVQI7W4JROZMZLBF5F/Julia+%28-0.196925%2C+0%29%2C+power+-+1.5%2C+fold+count+-+1%2C+fold+offset+-+%280%2C1.5%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets 1-Fold Power 1.5 Burning Ship Julia at (-0.196925, 0); Offset by (0, 1.5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616589809826-AS9QRJO4FYVNF174V88Q/Julia%2B%25280%252C5%2529%252C%2Bpower%2B-%2B2%252C%2Bfold%2Bcount%2B-%2B6%252C%2Bfold%2Bangle%2B-%2B75%252C%2Bfold%2Boffset%2B-%2B%25280%252C5%2529-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616589840267-YIL169UDL3EM2RLU71LN/Julia%2B%25281%252C5%2529%252C%2Bpower%2B-%2B2%252C%2Bfold%2Bcount%2B-%2B6%252C%2Bfold%2Bangle%2B-%2B75%252C%2Bfold%2Boffset%2B-%2B%25280%252C5%2529-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578358302-71JL3LZ6PWSMU7MR2B63/Lambda+Julia+%28-1.17228%2C+0.992439%29%2C+power+-+-2%2C+fold+count+-+1%2C+fold+offset+-+%280%2C15%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets 1-Fold Power -2 Lambda Burning Ship Julia at (-1.17228, 0.992439); Offset by (0, 15) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578372523-WPYOFOPVYDONAXM5GQRY/Lambda+Julia+%280%2C+1.5%29%2C+power+-+-2%2C+fold+count+-+1%2C+fold+offset+-+%280%2C15%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets 1-Fold Power -2 Lambda Burning Ship Julia at (0, 1.5); Offset by (0, 15) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578392711-9WG45RH271PZD0OLVXP6/Lambda+Julia+%280.83983%2C+0.982559%29%2C+power+-+-2%2C+fold+count+-+1%2C+fold+offset+-+%280%2C15%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets 1-Fold Power -2 Lambda Burning Ship Julia at (0.83983, 0.982559); Offset by (0, 15) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578400817-PQC6Z7ZHUL6RPSZWRFFB/Lambda+Julia+%280.976915%2C+0.663971%29%2C+power+-+-2%2C+fold+count+-+1%2C+fold+offset+-+%280%2C15%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets 1-Fold Power -2 Lambda Burning Ship Julia at (0.976915, 0.663971); Offset by (0, 15) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616578483661-4Q73910J0YGU8CSO25F5/Lambda+Julia+%281.04108%2C+0.26975%29%2C+power+-+-3%2C+fold+count+-+1%2C+fold+angle+-+108.17%2C+fold+offset+-+%280%2C15%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets 1-Fold Power -2 Lambda Burning Ship Julia at (0.83983, 0.982559); Offset by (0, 15) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616580863629-NR2DJVZAJJG66NSDTHDC/Power+-1%2C+Fake+Power+8%2C+Radius+1.2+-+Exterior-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616580971979-QF9EZAFKUNW2Q973TJBP/Power+2%2C+Fake+Power+8%2C+Radius+4+-+Exterior-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616580918285-RTIDPGRU3FDQMLY6QXPW/Power+-1%2C+Fake+Power+8%2C+Radius+1.2+-+Domain_Exterior-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616580996340-2P8NUQ2AN8I5GS9WER9N/Power+2%2C+Fake+Power+8%2C+Radius+4+-+Domain_Exterior-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616590960365-SJV6VXX1U34QQM76PA6M/Custom+%28bad+10+rotations+burning+ship%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Attempt at 10-Fold Burning Ship https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616590977478-RRHRX3L4SYMHQ8YTLKXK/Custom+%28bad+rotation+burning+ship%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Attempt at 2-Fold Burning Ship https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616591564698-457P4P2YHFO2N4DS65E6/Julia%2B%2528bad%2Balgorithm%2529%2B%2528-0.747417%252C%2B0.187026%2529%252C%2Bfold%2Bangle%2B-%2B169.948%252C%2Bfold%2Bcount%2B-%2B1-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Attempt at 1-Fold Burning Ship Julia at (-0.747417, 0.187026); Angle: 169.948 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616591015396-M0XBT0J83AHMKRNJ9J7S/Lambda%28bad+algorithm%29%2C+fold+angle+-+135%2C+fold+count+-+2+%284%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Attempt at 2-Fold Lambda Burning Ship; Angle: 135 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616591036679-AHTCTN1NWZTNTIHAL79G/Mandelbrot+%28bad+unrotate%29%2C+c_power+-+-1%2C+fold+angle+-+114.628%2C+fold+count+-+2+%283%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616591042717-9OB9P832727RM500Z07B/Mandelbrot+%28bad+unrotate%29%2C+c_power+-+-1%2C+fold+angle+-+114.628%2C+fold+count+-+2-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616591049732-4VH8GFB4D6R1T72DI0D9/Mandelbrot+%28bad+unrotate%29%2C+c_power+-+-1%2C+fold+angle+-+114.628%2C+fold+count+-+5-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Attempts at 5-Fold Burning Ship; C-Power: -1, Angle: 114.628 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616591051621-RUEV9F8KX9KNRDBDCT8X/Mandelbrot+%28bad+unrotate%29%2C+fold+angle+-+36%2C+fold+count+-+2+%282%29-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Attempt at 2-Fold Burning Ship; Angle: 36 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616591632337-BSKAOQNRBCBIJGU48RZA/Mandelbrot%2B%2528bad%2Bunrotate%2529%252C%2Bfold%2Bangle%2B-%2B36%252C%2Bfold%2Bcount%2B-%2B2-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Attempt at 2-Fold Burning Ship; Angle: 36 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616591083844-J0CZ7RTM0CSYQA8RE45D/Mandelbrot+%28bad+unrotate%29%2C+fold+angle+-+36%2C+fold+count+-+5-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Attempt at 5-Fold Burning Ship; Angle: 36 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616591084321-C72KI5UKYYVE828UB3VC/Mandelbrot+%28bad+unrotate%29%2C+fold+angle+-+75.1526%2C+fold+count+-+5-min.JPG Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Attempt at 5-Fold Burning Ship; Angle: 75.1526 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1616591660024-TU4QGYT6CE3TO0BGRYJM/Mandelbrot%252C%2Bfold%2Bangle%2B-%2B45%252C%2Bfold%2Bcount%2B-%2B2-min.jpg Project and Concept Explanations - Project: Visualizing Julia and Mandelbrot Sets Attempt at 2-Fold Burning Ship; Angle: 45 https://www.ixm-ibrahim.com/explanations/project-exploring-l-systems monthly 0.5 2021-05-30 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615337523709-MVYW6IIS20ULFLPBC8AE/l-system+head-min.PNG Project and Concept Explanations - Project: Exploring L-Systems Click to see gallery of full-sized images… https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615424574438-QP4QC6A0MWEV1S7OQW90/cantor+set+-+0-4-min.PNG Project and Concept Explanations - Project: Exploring L-Systems Cantor Set (0-4): A; A→ABA, B→BBB https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615424595666-WND4W2NH1OJZ5796BK62/my+cantor+set+-+0-5-min.PNG Project and Concept Explanations - Project: Exploring L-Systems My variation of the Cantor Set (0-5): Ac; A→ABA, B→BBB, c→c*; Line Scale: 1/3 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615424769438-4YGLG0IUKIKLCH84DRP6/koch+curve+-+5-min.PNG Project and Concept Explanations - Project: Exploring L-Systems Koch Curve (5): F; F→F+F--F+F; Turn Angle: 60° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615424793708-ZPYYONTRXEMW4ZSUW1SP/45-degree+koch+curve+-+5-min.PNG Project and Concept Explanations - Project: Exploring L-Systems 45-degree Koch Curve (5): F; F→F+F--F+F; Turn Angle: 45° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615426016594-HZ2BPH38NYL5OPR38U18/koch%2Bsnowflake%2B-%2B5-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Koch Snowflake (5): F-(120)F-(120)F; F→F+F--F+F; Turn Angle: 60° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615426033233-H4K7C1M4279B0251SFMT/45-degree%2Bkoch%2Bsnowflake%2B-%2B5.jpg Project and Concept Explanations - Project: Exploring L-Systems 45-degree Koch Snowflake (5): F-(90)F-(90)F-(90)F; F→F+F--F+F; Turn Angle: 45° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615426356782-CI5MIZWJZ5U49U5H404D/inverse%2Bkoch%2Bsnowflake%2B-%2B5-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Inverse Koch Snowflake (5): F+(120)F+(120)F; F→F+F--F+F; Turn Angle: 60° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615429145301-WOGHNIYHVREA9LUFA9EA/sierpinski+triangle+-+5-min.PNG Project and Concept Explanations - Project: Exploring L-Systems Sierpinski Triangle (5): F-G-G; F→F-G+F+G-F, G→GG; Turn Angle: 120° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615439734422-6FGEJDA15HCT8VR4YDQQ/islands%2Band%2Blakes%2B%2528line%2529%2B-%2B3-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Islands and Lakes - Line (3): F; G→GGGGGG F→F+G-FF+F+FF+FG+FF-G+FF-F-FF-FG-FFF; Turn Angle: 90° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615439318351-JRYO5G7IUOJGY5E5VSOB/peano%2Bcurve%2B-%2B3-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Peano Curve (3): F; F→FF+F+F+FF+F+F-F; Turn Angle: 90° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615439283939-RL4BINDGVZU88EOWP3N6/hilbert%2Bcurve%2B-%2B5-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Hilbert Curve (5): b; F→F, a→-bF+aFa+Fb-, b→+aF-bFb-Fa+; Turn Angle: 90° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615426247517-KTL1OFNFYKU7LKC8Y6OS/inverse%2B45-degree%2Bkoch%2Bsnowflake%2B-%2B5-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Inverse 45-degree Koch Snowflake (5): F-(90)F-(90)F-(90)F; F→F+F--F+F; Turn Angle: 45° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615429627284-EWF36ZY6ML8W8T5W49I5/sierpinski%252Barrowhead%252Bcurve%252B-%252B7-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Sierpinski Arrowhead Curve (7): A; A→B-A-B, B→A+B+A; Turn Angle: 60° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615439703079-8CX87J6EYV1585LWN7UL/islands%2Band%2Blakes%2B-%2B2-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Islands and Lakes - Square (2): F+F+F+F; G→GGGGGG F→F+G-FF+F+FF+FG+FF-G+FF-F-FF-FG-FFF; Turn Angle: 90° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615441966688-PWTQHSI7A7S45SH803J7/sierpinski%2Bcurve%2B-%2B4-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Sierspinski Curve (4): F--xF--F--xF; F→F, x→xF+F+xF--F--xF+F+x; Turn Angle: 45° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615439297701-YTPR86ULT37V1I34RPV3/hilbert%2Bii%2Bcurve%2B-%2B4-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Hilbert II Curve (5): x; F→F, x→xFyFx+F+yFxFy-F-xFyFx, y→yFxFy-F-xFyFx+F+yFxFy; Turn Angle: 90° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615462707474-WV3X0KJ7RA89TD6V01WK/3d+hilbert+curve+-+4-min.PNG Project and Concept Explanations - Project: Exploring L-Systems 3D Hilbert Curve (4): F→F, a→b-F+cFc+F-d&F^d-F+&&cFc+F+b##, b→a&F^cFb^F^d^^-F-d^|F^b|Fc^F^a##, c→|d^|F^b-F+c^F^a&&FA&F^c+F+b^F^d##, d→|cFb-F+b|Fa&F^a&&Fb-F+b|Fc##; Turn Angle: 90°, Line Thickness: 0.3 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615439350802-RMC39W251YRF1LNVS4FV/moore%2Bcurve%2B-%2B5-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Moore Curve (5): bFb+F+bFb; F→F, a→+bF-aFa-Fb+, b→-aF+bFb+Fa-; Turn Angle: 90° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615442692252-01LWNZCKBGS2D8KRHVRM/pentaplexity%2B-%2B4-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Pentaplexity (4): F++F++F++F++F; F→F++F++F|F-F++F; Turn Angle: 36° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615442055710-FL2L7SOG2F98JTE44N4S/rings%2B-%2B4-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Rings (4): F+F+F+F; F→FF+F+F+F+F+F-F; Turn Angle: 90° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615442666545-4PLWDRD42GC3NM5W86OR/hexagonal%2Bgosper%2Bcurve%2B-%2B4-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Hexagonal Gosper Curve (4): A; Turn Angle: 60° A→A+B++B-A--AA-B+, B→-A+BB++B+A--A-B; https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615441888033-8IOO0NDH0LH8TLXSGRFU/l%C3%A9vy+curve+-+13-min.PNG Project and Concept Explanations - Project: Exploring L-Systems Lévy Curve (13): F; F→-F++F-; Turn Angle: 36° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615429545505-C24HJ96BT4PSV2A1YHAY/dragon%2Bcurve%2B-%2B13-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Dragon Curve (13): F; F→F+G, G→F-G; Turn Angle: 90° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615427074402-R44DH2RC4MSOIOSX9ISU/classic%2Bpythagoras%2B-%2B6-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Pythagoras Tree (6): A; A→B[+A]-A, B→BB; Turn Angle: 45° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615429568242-44FCN284QQHFZLXWNASD/fractal%2Bplant%2B-%2B7-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Fractal Plant (7): x; F→FF, x→F+[[x]-x]-F[-Fx]+x; Turn Angle: 25° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615426867547-UNJMXFOMPDZNYIHK29DZ/my%252Bpythagoras%252B-%252B6-min.jpg Project and Concept Explanations - Project: Exploring L-Systems My variation of the Pythagoras Tree (6): A; A→B*[+A]-A, B→B; Turn Angle: 45°, Line Scale: 0.5 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615468554703-V5IZCTVUQ0B8OHWB6PYY/weed%2B-%2B4-min.jpg Project and Concept Explanations - Project: Exploring L-Systems https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615468590088-FC9ZD09FHURMDCJSUXZ2/random%2Bweed%2B1%2B-%2B5-min.jpg Project and Concept Explanations - Project: Exploring L-Systems https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615468627170-XQC5A5FZSYOV8M5IALWZ/random%252Bweed%252B2%252B-%252B5.jpg Project and Concept Explanations - Project: Exploring L-Systems https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615453493538-NLXW8LGJS9JF0UW8XIY4/fractal%2Bbush%2B-%2B4-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Fractal Bush (4): F; F→FF+[+F-F-F]-[-F+F+F]; Turn Angle: 25.7° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615462278493-67QOZ8RGQJ7H07IG0H4Q/3d%2Bpythagoras%2Btree%2B-%2B6-min.jpg Project and Concept Explanations - Project: Exploring L-Systems https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615453472750-T69ODYN2Q8N0LF2C3TUL/fractal%2Bbrush%2B-%2B6-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Fractal Brush (6): x; F→F, x→xFy[+x][-y], y→y[-FFF][+FFF]Fy; Turn Angle: 25.7° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615462316701-YKMUD3PODFK5OKVSYZ8X/3d%2Bpythagoras%2Btree%2B%2528thickness%2529%2B-%2B6-min.jpg Project and Concept Explanations - Project: Exploring L-Systems https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615453293230-X08ITKCJA5CRU3WXTNSB/fractal%2Btree%2Bunscaled%2B-%2B6-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Unscaled Fractal Tree (6): A; A→B[A][+A]-A, B→B; Turn Angle: 30° https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615457726339-0N6MZZR4X2BI8I267BAJ/fractal%2Btree%2B-%2B6-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Fractal Tree (6): A; A→B*[A]*[+A]-A, B→B; Turn Angle: 30°, Line Scale: 0.8 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615457621385-E0ME4PTWXSG69L7JA7OO/3d%2Bfractal%2Btree%2B%2528triangle%2529%2B-%2B6-min.jpg Project and Concept Explanations - Project: Exploring L-Systems https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615457700736-MSGBPP32INB84M4SQRMF/fractal%2Btree%2Brandom%2B-%2B6-min.jpg Project and Concept Explanations - Project: Exploring L-Systems Random Fractal Tree (6): A; Line Scale: 0.75 A→*[+(randint(-10,10))A]*[+(randint(15,45))A]-(randint(15,45))A, B→B; https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615457606841-T2GRU4WS2OLFU8YAUTC9/3d%2Bfractal%2Btree%2B%2528triangle%252C%2Bthickness%2529%2B-%2B6-min.jpg Project and Concept Explanations - Project: Exploring L-Systems https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615457811967-OMTA9KXQ0RF05QHEM9DP/3d%2Bfractal%2Btree%2B%2528square%2529%2B-%2B6-min.jpg Project and Concept Explanations - Project: Exploring L-Systems https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615457828803-3UJB2QM1YR9YII9CA7N1/3d%2Bfractal%2Btree%2B%2528square%252C%2Bthickness%2529%2B-%2B6-min.jpg Project and Concept Explanations - Project: Exploring L-Systems https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615457986785-9N6MYUY3UGQL6RTCDYP0/3d%2Bfractal%2Btree%252C%2Brandom%2B1%2B-%2B6-min.jpg Project and Concept Explanations - Project: Exploring L-Systems https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615457959656-3TXV6G50ZOADIOXWFRBP/3d%2Bfractal%2Btree%252C%2Brandom%2B2%2B-%2B6-min.jpg Project and Concept Explanations - Project: Exploring L-Systems https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615458099149-A0NEIEYP1WKAVXP2NMRU/3d%2Bfractal%2Btree%252C%2Brandom%2B3%2B-%2B6-min.jpg Project and Concept Explanations - Project: Exploring L-Systems https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615458054459-WPOD5PRQEG6M700AISRE/3d%2Bfractal%2Btree%252C%2Brandom%2B4%2B-%2B6-min.jpg Project and Concept Explanations - Project: Exploring L-Systems https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615466416076-EAOZJ4R2GZLUUGZLQ3W2/alstonia%2Bscholaris-min.jpg Project and Concept Explanations - Project: Exploring L-Systems A model of an Alstonia Scholaris Tree (5): F; Turn Angle: 8°, Line Thickness: 1, Line Thickness Scale: 0.9 F→Y$[+(48)MF][-(40)NF][^(40)OF][&(40)PF], M→Z-M, N→Z+M, O→Z&O, P→Z^P, Y→Z-ZY+, Z→ZZ https://www.ixm-ibrahim.com/explanations/project-generating-fractal-geometry monthly 0.5 2021-05-30 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615534810725-K4A5O2JH0P78I79JF3S5/3d_82.15-new.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Click to see gallery of full-sized images… https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615586521428-T3I1EIYIPTD5E51X34GS/koch%2Bcurve%252C%2B60%252C%2BI%2B-%2B6-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Koch Curve (6); Angle: 60°, Type: I https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615590798275-H2AO2CARJURZ71CRAD9P/koch%2Bcurve%252C%2B85%252C%2BI%2B-%2B6-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Koch Curve (6); Angle: 85°, Type: I https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615591582397-81X1HKL9VK1VGLHAZPIF/koch%252Bcurve%25252C%252B85%25252C%252BII%252B-%252B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Koch Curve (5); Angle: 85°, Type: II https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615591608731-DSJ07FU1CQ44PP3NFNXO/koch%252Bcurve%25252C%252B85%25252C%252BIII%252B-%252B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Koch Curve (5); Angle: 85°, Type: III https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615591023752-VUPIBS8ARFBY5GW4REB2/koch%2Bcurve%252C%2B45%252C%2BI%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Koch Curve (5); Angle: 45°, Type: I https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615591086335-JGIU0RZKLGXRNR3EBMNH/koch%2Bcurve%252C%2B45%252C%2BII%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Koch Curve (5); Angle: 45°, Type: II https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615591134340-T9HJH86L704CQUSOYEF7/koch%2Bcurve%252C%2B45%252C%2BIII%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Koch Curve (5); Angle: 45°, Type: III https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615590746499-VRUEEH73SZDUHPN0SYS6/koch%2Bcurve%252C%2B15%252C%2BI%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Koch Curve (5); Angle: 15°, Type: I https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615591183416-D6RBYDF8CM9X3F9S7KBB/koch%2Bcurve%252C%2B15%252C%2BII%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Koch Curve (5); Angle: 15°, Type: II https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615591228924-2D0EGOIXO439G1LMY0NG/koch%2Bcurve%252C%2B15%252C%2BIII%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Koch Curve (5); Angle: 15°, Type: III https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615591932894-7LPR7A0ZW3LQQ4MYY4Z0/koch%2Bsnowflake%252C%2B3%252C%2B60%252C%2BI%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Koch Snowflake (5); Sides: 3, Angle: 60°, Type: I https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615592010673-3R8SHWUDFT6ZICS4ZBLB/koch%2Bsnowflake%252C%2B3%252C%2B60%252C%2BII%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Koch Snowflake (5); Sides: 3, Angle: 60°, Type: II https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615591978099-MQ9VJLC11SI8IK4KI2HR/koch%2Bsnowflake%252C%2B3%252C%2B60%252C%2BIII%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Koch Snowflake (5); Sides: 3, Angle: 60°, Type: III https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615592104695-4UM7SRCNSKHLT0A4Z90T/koch%252Bsnowflake%25252C%252B3%25252C%252B45%25252C%252BII%252B-%252B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Koch Snowflake (5); Sides: 3, Angle: 45°, Type: II https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615592074486-2VAR0WH9YMTAQJF4RNWH/koch%2Bsnowflake%252C%2B4%252C%2B45%252C%2BIII%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Koch Snowflake (5); Sides: 4, Angle: 45°, Type: III https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615592144010-N0BM6DBQM119Y38OJ2HH/koch%2Bsnowflake%252C%2B5%252C%2B30%252C%2BII%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Koch Snowflake (5); Sides: 5, Angle: 30°, Type: II https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615592179184-RBP080SDTOLLDM757HAJ/koch%2Bsnowflake%252C%2B5%252C%2B80%252C%2BIII%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Koch Snowflake (5); Sides: 5, Angle: 80°, Type: III https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615592222567-DPDYF8WNGFD64O2C545W/3D%2BKoch%2BSnowflake%252C%2BCube%2BMethod%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry 3D Koch Snowflake (5): Cube Method https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615592284026-Z3C7DICS26D60SO0CQLH/3d_82.15-new-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry 3D Koch Snowflake (5): Delta Method https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615598826219-SBGQXKGS4D2JUAAY4C93/sierpinski%2Btriangle%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Triangle (5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615598853330-7N4HY8RIAU29YQDHSB6S/inverse%2Bsierpinski%2Btriangle%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Inverse Sierpinski Triangle (5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615598887492-BYZBOERKQGSO890FWIFR/sierpinski%2Btriangle%2B-%2B7-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Triangle (7) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615598914565-M5CM2LLHIL1TL3Q4ULVQ/inverse%2Bsierpinski%2Btriangle%2B-%2B7-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Inverse Sierpinski Triangle (7) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615598972062-V98R12YFB2F2JM89M5W7/sierpinski%2Btriangle%2B-%2B10-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Triangle (10) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615598941580-P19BD42SFSWUGCBEHVEW/inverse%2Bsierpinski%2Btriangle%2B-%2B10-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Inverse Sierpinski Triangle (10) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599005367-Y67UWHGB59DHRNFPWSIB/skewed%2Bsierpinski%2Btriangle%2B-%2B6-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Triangle (6); Skewed https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599031027-GQQODU3SN20QH7FMTS3F/inverse%2Bskewed%2Bsierpinski%2Btriangle%2B-%2B6-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Inverse Sierpinski Triangle (6); Skewed https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599087344-056FDSFH1G4EOMOW4712/sierpinski%2Btriangle%252C%2Bfilled%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Triangle (5); Filled https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599106878-93NT0I0RKCD8RADPYV8S/sierpinski%2Bsquare%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Square (5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599139368-CEDUEPWQA4NQDS27O3SE/sierpinski%2Bpentagon%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Pentagon (5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599163204-6OAZ776V9MDR6LKAPWEO/sierpinski%2Bpentagon%252C%2Bfilled%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Pentagon (5); Filled https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599212059-7JS3OCG6SEYCPPXJAUOU/sierpinski%2Bhexagon%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Hexagon (5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599239729-TLNPNJMZPJPAJFEEV7D1/sierpinski%2Bhexagon%252C%2Bfilled%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Hexagon (5); Filled https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599261383-F10OCTEM64OHQJPDG01Y/sierpinski%2Bheptagon%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Heptagon (5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599288435-KYXRXP9RJSKNCQC6BCCD/sierpinski%2Bheptagon%252C%2Bfilled%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Heptagon (5); Filled https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599320915-EWHDWMKG9FWXVTY2SEWK/sierpinski%2Boctagon%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Octagon (5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599355292-BNQ9Q7YMAZ3B4QBYFFS7/sierpinski%2Boctagon%252C%2Bfilled%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Octagon (5); Filled https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599390909-N1J0C34V2IIVLAZSNNHB/sierpinski%2Bdodecagon%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Dodcagon (5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599447711-B4UJTDZKVJ89C0NZGH7S/sierpinski%252Bdodecagon%25252C%252Bfilled%252B-%252B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Dodecagon (5); Filled https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599510293-T19Q5OM2C1YT7UFIBKFU/sierpinski%2Btetrahedron%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Tetrahedron (5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599533240-CNF5G4OW33JAD1PF8J0T/sierpinski%2Btetrahedron%252C%2Binverse%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Inverse Sierpinski Tetrahedron (5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599559551-HGX3HJK99JKDZPA3CUED/sierpinski%2Btetrahedron%2B-%2B10-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Tetrahedron (10) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599610401-HI7VHNBW7WISSKDYNBJ2/sierpinski%2Btetrahedron%252C%2Bskewed%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Tetrahedron (5); Skewed https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599674350-D8B8JIR4K817T3UMZF5R/sierpinski%2Bpyramid%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Pyramid (5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599741100-KOTBOZE0JM39VUTESUZC/sierpinski%2Bpyramid%252C%2Bskewed%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Pyramid (5); Skewed https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599789910-WZMMY37CDTLZQQKF5TBD/sierpinski%2Boctahedron%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Octahedron (5) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599584795-1DYVVN2ARGFHD39HM4LY/sierpinski%2Btetrahedron%252C%2Binverse%2B-%2B10-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Inverse Sierpinski Tetrahedron (10) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599634998-ZE0DMGRE4QUFQO7SC151/sierpinski%2Btetrahedron%252C%2Bskewed%2Binverse%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Inverse Sierpinski Tetrahedron (5); Skewed https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599704426-DPN91POLJCBVMUZT47DZ/sierpinski%2Bpyramid%2B-%2B7-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Pyramid (7) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599765716-U77LB93TM8HW0YRVBUWX/sierpinski%2Bpyramid%252C%2Bskewed%2B-%2B7-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Pyramid (7); Skewed https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599817957-4BUW5PDF9DEYTXZ4ZI7V/sierpinski%2Boctahedron%2B-%2B7-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Octahedron (7) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615599863127-BZ1ARLMLOA5GQQZVVLQT/sierpinski%2Boctahedron%252C%2Bskewed%2B-%2B5-min.jpg Project and Concept Explanations - Project: Generating Fractal Geometry Sierpinski Octahedron (5); Skewed https://www.ixm-ibrahim.com/explanations/project-electron-orbital-equations monthly 0.5 2021-05-30 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615606686500-SOGK99T3KYCYBADDEBC7/electron_orbital-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations Click to see gallery of full-sized images… https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615630555124-UKO6BBUQCOOQNMF8BYYB/s%2Borbital-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations S Orbital Level https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615630590211-TC8XI3EPCM2C0H4YKXSV/p%2Borbitals-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations P Orbital Level https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615630618243-PUN8573ZH3YLDWYD3HPR/d%2Borbitals-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations D Orbital Level https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615630654190-IBEJ8S2OOL2JJ4HA2RD1/f%2Borbital-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations F Orbital Level https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615630775839-2FZPVJXIGKNFLO21ZVKL/p_x%2Borbital-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations Px Orbital https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615630795089-CAOJDP5CNLYMCDRRSOGZ/p_y%2Borbital-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations Py Orbital https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615630841467-EDMXN3JVMDIM3TU84ZNF/p_z%2Borbital-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations Pz Orbital https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615630997565-P4AI9MSL82G8TBJPUI2O/d_x%255E2-y%255E2%2Borbital-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations Dxx-yy Orbital https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615631027706-RDZ98OIX3U7MDOAKMJAC/d_xy%2Borbital-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations Dxy Orbital https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615631077724-9Q1TUTUR07NW375QRS3V/d_xz%2Borbital-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations Dxz Orbital https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615631114801-JXL2TCDMYEF31EQ666FA/d_yz%2Borbital-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations Dyz Orbital https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615631171482-ICS9GM13O2F77WEXKYR4/d_z%255E2%2Borbital-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations Dzz Orbital https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615631398750-DGFI5FCUQ5JA24OD1FT7/f_x%255E3-3xy%255E2-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations Fx(xx-3yy) Orbital https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615631433440-P2KDPJQOXL61NB2SQZUI/f_3x%255E2y-y%255E3-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations Fy(3xx-yy) Orbital https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615631494970-159KZ5IURIFJYN9A5TLD/f_x%255E2z-y%255E2z-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations Fz(xx-yy) Orbital https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615631522905-JY2H6ACTRN6KV30GSJDP/f_xyz-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations Fxyz Orbital https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615631554138-0XNV2AFESAPW394Z8YS1/f_5xz%255E2-xr%255E2-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations Fx(5zz-rr) Orbital https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615631582770-CNBB32ZLDGY45LWIZL3H/f_5yz%255E2-yr%255E2-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations Fy(5zz-rr) Orbital https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615631607129-3NOD703Z6JDZ5S7KIVZZ/f_5z%255E3-3zr%255E2-min.jpg Project and Concept Explanations - Project: Electron Orbital Equations Fz(5zz-3rr) Orbital https://www.ixm-ibrahim.com/explanations/project-mathematical-puzzles monthly 0.5 2021-03-14 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615679611271-V08MCVXU45X48NP0ODIT/sum_of_squares-min.jpg Project and Concept Explanations - Project: Mathematical Puzzles https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615684127833-U8WEV016YT8Y94XOM63Y/sum_of_consecutive_sums%252C%2Bpieces-min.jpg Project and Concept Explanations - Project: Mathematical Puzzles n=4 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615686822636-XLPDTS67DDCZKNKJS43Y/sum_of_squares%252C%2Bpieces%2B3.jpg Project and Concept Explanations - Project: Mathematical Puzzles https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615686875178-M9U326GG3HK2D74F3I4C/sum_of_squares%252C%2B3.jpg Project and Concept Explanations - Project: Mathematical Puzzles n=3 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615687022738-Q784345JMI9MNEM727QJ/sum_of_squares%252C%2Bpieces%2B4.jpg Project and Concept Explanations - Project: Mathematical Puzzles https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615687046631-DTGK1HS2C1SV3FUT8T6G/sum_of_squares%252C%2B4.jpg Project and Concept Explanations - Project: Mathematical Puzzles n=4 https://www.ixm-ibrahim.com/explanations/project-flexible-wood monthly 0.5 2021-07-16 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615688138038-28YQ13HI771J0OXQD366/flexible%2Bwood%2Bhead%2Btmp-min.jpg Project and Concept Explanations - Project: Flexible Wood Click to see gallery of full-sized images… https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615699029806-H8BZ3REJFJV6K8XEAFZF/old+1.JPG Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615699047154-CQDR3BFWE2TKDEKBJOD1/old+2.JPG Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615699078923-VYAMRELUK04M4GST7C5K/old+3.JPG Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1626425697996-1T4B1D40C04NIJOMW42S/flexible+wood+5.gif Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1626426011726-DV540JG2ZX1HRYTFOZLS/flexible+wood+1.gif Project and Concept Explanations - Project: Flexible Wood - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615703069674-ESW5Z1LSTT0JZULD0AO0/rectangle%2Bdesign-min.jpg Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615703102373-GSC1WRRVUVOGH9IQXVE7/flexible%2Bwood%2Bhead%2Btmp-min.jpg Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615703133364-K88C7ZDK9GVDW015BKII/rectangle%2Bdesign%252C%2Bround-min.jpg Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615703165048-4SN5Y2AFHHTDPD1YLPOV/rectangle%2Bboard%252C%2Bround-min.jpg Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615703202073-FXUGPXM02TDPMK3WPO7B/hexagon%2Bdesign-min.jpg Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615703490425-B0B7FUOKIOO5YUUYM7CA/hexagon%2Bboard-min.jpg Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615703288132-HND0N58YWTB8N8LJEB84/hexagon+design%2C+round-min.JPG Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615703333547-NRRO9L9URN84QOKV7LW5/hexagon%2Bboard%252C%2Bround-min.jpg Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615703382356-9WH0EIQQ2A8ISUO76QAR/circle%2Bdesign-min.jpg Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615703469013-1OVDBFA7CXW0WIG02ZP1/circle%2Bboard-min.jpg Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1626427045423-FI9024ZEPH7DS8Z97JZR/flexible+wood+2.gif Project and Concept Explanations - Project: Flexible Wood - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1626426963421-JKWP4HPN2EG6OAKQ4J6K/flexible+wood+3.gif Project and Concept Explanations - Project: Flexible Wood - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1626427533176-PJQIT8H8BQCX6E5LXHDJ/flexible+wood+4.gif Project and Concept Explanations - Project: Flexible Wood - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1626427534165-RDKTZEEIOM652ZRCLLW3/flexible+wood+6.gif Project and Concept Explanations - Project: Flexible Wood - Make it stand out Whatever it is, the way you tell your story online can make all the difference. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615701402431-6FB2020YP9HTAP3WKEC5/wip-min.jpg Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615701515038-IFDLC9MJ0WMLE5JWPF5A/wip-min.jpg Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615701687019-XJ7IOD76QDZUVZ4FXAMQ/wip-min.jpg Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615701704472-VB7RMFA4C71AILPLJJ0Q/wip-min.jpg Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1626431180136-2SXOCFZGBY5T6D1AT8KM/3d+hilberts.PNG Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1626430546441-579BCY2YF7UIHCLX8CVF/flexible+wood+7.gif Project and Concept Explanations - Project: Flexible Wood https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615702025216-MQWX6W3SSMNA9C4WZ6P8/wip-min.jpg Project and Concept Explanations - Project: Flexible Wood https://www.ixm-ibrahim.com/explanations/project-plotequation monthly 0.5 2021-05-30 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615098551261-J33F48X92NS3IVKVG4AY/plugin-min.PNG Project and Concept Explanations - Project: PlotEquation Click to see gallery of full-sized images… https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615099721195-B33NKQIDBIC2JNGWAST3/x+%3D+%282+%2B+sin%287u+%2B+5v%29%29cos%28u%29sin%28v%29%2C+y+%3D+%282+%2B+sin%287u+%2B+5v%29%29sin%28u%29sin%28v%29%2C+z+%3D+%282+%2B+sin%287u+%2B+5v%29%29cos%28v%29-min.PNG Project and Concept Explanations - Project: PlotEquation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615109050016-AVQWP0BSIA4CZ76YVCRX/sin%28x%29.jpg Project and Concept Explanations - Project: PlotEquation y = sin(x) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615109158267-KIWJQJFIH0HLS381192I/heart.jpg Project and Concept Explanations - Project: PlotEquation x = 4sin(t)^3 y = 3cos(t) - 1.3cos(2t) - 0.6cos(3t) - 0.2cos(4t) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615110477703-CZMOH5KWGU5TFCBVEKDL/r%3Dtheta-min.PNG Project and Concept Explanations - Project: PlotEquation r = Θ https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615110783981-09QL0TYB27OIUUKRD7XE/theta%3Dcos%28r%29.PNG Project and Concept Explanations - Project: PlotEquation Θ = cos(r) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615111315862-4Q40KOZ19K7F3LI3UZH6/theta%3D1.t%2Cr%3Dsin%28t%29-min.PNG Project and Concept Explanations - Project: PlotEquation Θ = 1/t, r = sin(t) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615112211649-VJBVZ2VMYEAP6U7EY21D/pi_sphere-min.jpg Project and Concept Explanations - Project: PlotEquation x = sin(πt)cos(t), y = sin(πt)sin(t), z = cos(πt) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615112696938-4883YQYEJ0WWQPIC9UN0/batman_original-min.jpg Project and Concept Explanations - Project: PlotEquation The Batman equation, before… https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615109081428-OVABNDTP3YUC0BPSLTZZ/astroid.jpg Project and Concept Explanations - Project: PlotEquation x = cos(t)^3, y = sin(t)^3 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615110466015-BXN7LMBGUIES1L8X435U/x%3Dyy-min.PNG Project and Concept Explanations - Project: PlotEquation x = y^2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615110597157-G1ZARTAB3LSPYWR32GDO/r%3Dround%28theta%29-min.PNG Project and Concept Explanations - Project: PlotEquation Θ = round(r, 0) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615111393706-SL5OGEJEQV489CSOI0U7/r%3D10sin%284.5theta%29-min.PNG Project and Concept Explanations - Project: PlotEquation r = sin(4.5Θ) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615111406539-ODJ0M1PHRH1FLUQE6WW7/theta%3Dsin%2810t%29%2Cr%3Dsin%289t%29-min.PNG Project and Concept Explanations - Project: PlotEquation Θ = sin(10t), r = sin(9t) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615112197931-PATB42WP4B3LVSDWIOTW/pi_cone-min.jpg Project and Concept Explanations - Project: PlotEquation x = sin(πt)cos(t), y = sin(πt)sin(t), z = sin(πt) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615112926736-AXFFTOYLXKVK72S1XRHF/batman_final-min.jpg Project and Concept Explanations - Project: PlotEquation … and after trimming the excess curves https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615113375562-XBV2E4FEMQX6OR291T9P/download-min.png Project and Concept Explanations - Project: PlotEquation Lasercut logarithmic spirals https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615113551219-Y7WCXIIIRFWYAZXXP30F/paraboloid.jpg Project and Concept Explanations - Project: PlotEquation z = x^2 + y^2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615113912535-CDW77UBJKOSIP571EERS/z%3Dxx-yy-min.png Project and Concept Explanations - Project: PlotEquation z = x^2 - y^2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615114143383-5PQYL60KXISSGH8KQ5PS/r+%3D+4pow%28cos%28phi%29%2C2%29-min.png Project and Concept Explanations - Project: PlotEquation r = cos(φ)^2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615114688760-SH7N4NVBCWA5SJVTQCS7/astroid3d-min.png Project and Concept Explanations - Project: PlotEquation x = cos(v)^3 cos(u)^3, y = sin(u)^3 z = sin(v)^3 cos(u)^3 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615114713551-OTKUGQN57APVLBTI8TPW/r%3Dtheta+3d-min.PNG Project and Concept Explanations - Project: PlotEquation r = Θ https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615125831580-SJAK51I7PM2DOX5B7H7T/log_turbine-min-min+%281%29-min.jpg Project and Concept Explanations - Project: PlotEquation Turbine design based on the logarithmic spiral https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615126014081-BQC6WYWJD7RLKKJ7WPXQ/download+%281%29.png Project and Concept Explanations - Project: PlotEquation 3D-printed parametric curve https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615125235656-8LUDCPKJLI23ANVLHS7D/smol_rose-min+%281%29-min.jpg Project and Concept Explanations - Project: PlotEquation A 3D-printed rose https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615125670452-WE4FYM32WX8RNH6I8I1T/electron_orbital-min+%281%29-min.jpg Project and Concept Explanations - Project: PlotEquation A 3D-printed p electron orbital https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615115570949-NK82B6B327T5DK8KLR9Z/dna_torus-min-min.jpg Project and Concept Explanations - Project: PlotEquation 3D-printed torii, with lines arrayed in between https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615125250660-43NJY0E9STI6ZKSYFGIS/gyroid-min+%281%29-min.jpg Project and Concept Explanations - Project: PlotEquation A gyroid https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615125279136-X9TUBYEKTS7ZOUEDO3T3/spherical_gyroids-min+%281%29-min.jpg Project and Concept Explanations - Project: PlotEquation Gyroids that have been trimmed to a sphere https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615115988073-147WFOACNGR8FGMRVGYR/wave+%282%29-min.jpg Project and Concept Explanations - Project: PlotEquation z = sin(w + x + y) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615115725241-Q84GPBJ03XA88GIRUOV6/rect_to_cone-min.jpg Project and Concept Explanations - Project: PlotEquation Transition between flat plane and cone https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615116490407-UCHIDG52T5XX07J0UTO0/sierrasphere_original-min.jpg Project and Concept Explanations - Project: PlotEquation Flat design before… https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615116837510-AF65G83EG4MH7R8CQBJC/sierrasphere_projected+%281%29-min.jpg Project and Concept Explanations - Project: PlotEquation … and after applying a stereographic projection https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615118296195-04YYJ85FT25R4O87ILHP/triangle-min.jpg Project and Concept Explanations - Project: PlotEquation Classic Sierpinski Triangle https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615118311034-A9M7TGR4L6A5IUT4ST79/inverted_triangle-min.jpg Project and Concept Explanations - Project: PlotEquation Inverted Sierpinski Triangle https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615118264659-QGKAO2I2X1STOAVDPL7U/pentagon-min.jpg Project and Concept Explanations - Project: PlotEquation Sierpinski Pentagon https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615118280413-KDSRA7Y8XJH1JXCEROFR/hexagon-min.jpg Project and Concept Explanations - Project: PlotEquation Sierpinski Hexagon https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615118226887-GOSCQOXTUPOHMJTN1CZZ/tetrahedron-min.jpg Project and Concept Explanations - Project: PlotEquation Sierpinski Tetrahedron https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615118248611-O6MERPPUEYWP42YJ1G8Q/octohedron-min.png Project and Concept Explanations - Project: PlotEquation Sierpinski Octahedron https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615118188255-LW6CBAKQFATB6SFHDB91/triangle_60-min.jpg Project and Concept Explanations - Project: PlotEquation Koch Snowflake https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615118394972-I68G0HRKTZYDBEXLB2HW/triangle_90-min.png Project and Concept Explanations - Project: PlotEquation 90-degree Koch Curve on a triangle https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615118158729-QIGQPINYTN5ZMHJOT05G/square_90-min.jpg Project and Concept Explanations - Project: PlotEquation 90-degree Koch Curve on a square https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615118119772-WOG7ME27TWBI3X0WF5AS/3d_cubes-min.jpg Project and Concept Explanations - Project: PlotEquation A 3D representation of the Koch Snowflake https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615118171460-3DKXIQXR0XPFI56YJTDX/square_90_inverted-min.jpg Project and Concept Explanations - Project: PlotEquation Inverted 90-degree Koch Curve on a square https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615118138031-XS891JKKLYR4MYP672KI/3d_82.15-min.jpg Project and Concept Explanations - Project: PlotEquation A 3D representation of the 82.15º Koch Curve https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615125323064-71QSO4XUFFRDRPA94OFD/skewed_sierpinski-min+%281%29-min.jpg Project and Concept Explanations - Project: PlotEquation A skewed Sierpinski octahedron https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615119889402-MC20PQCR82SYUTYD45VU/Mandelbrot+-+Exterior+Coloring+-+Circle+OrbitTrap+-+Centered+At+%280%2C0%29+With+Radius+2-min.png Project and Concept Explanations - Project: PlotEquation The generated Mandelbrot Set… https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615119920912-1ZKBS01RCNCINKW9WZEX/mndelbrot_curve.PNG Project and Concept Explanations - Project: PlotEquation … which the plugin uses to create a set of curves https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615120622065-3A1WNNE44IAHXILDFUNR/cantor-min.jpg Project and Concept Explanations - Project: PlotEquation The Cantor Set, generated by the L-System A→ ABA, B→ BBB https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615120866600-AVFSCL1HJ9Z8YGGXOCVH/koch-min.jpg Project and Concept Explanations - Project: PlotEquation A 90-degree Koch Curve, generated by the L-System F → F+F−F−F+F with a 90º turn angle https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615122262312-PT3GN7LPHWW2Y0K8GSPR/pythagoras_tree-min-min.jpg Project and Concept Explanations - Project: PlotEquation The Pythagoras Tree, generated by the L-System A→B[+A]-A with a 45º turn angle, scaling each branch by half each iteration https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615121485935-NIXBS8Y6O4D3ICE840F4/3d_pythagoras_tree-min.jpg Project and Concept Explanations - Project: PlotEquation A 3D representation of the Pythagoras Tree, generated by an L-System https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615121536332-768OI8JMC1GMTSA1VAEU/3d_pythagoras_tree_scaled-min.jpg Project and Concept Explanations - Project: PlotEquation A 3D representation of the previous L-System, with varying thicknesses https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615121455573-XG0SI0GHCP6HNZTKQYWW/tree_30_scaled-min.jpg Project and Concept Explanations - Project: PlotEquation An L-System generated by A→B[+A][A]-A with a 30º turn angle, scaling each branch by 2/3, 4/9, 2/3 each iteration, respectively https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615121505810-1763KEJ8SU8EZVDEQD3Z/3d_tree_30-min.jpg Project and Concept Explanations - Project: PlotEquation A 3D representation of the previous L-System https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615121518400-63321S9XDXOSNH93LPYP/3d_tree_30_scaled-min.jpg Project and Concept Explanations - Project: PlotEquation A 3D representation of the previous L-System, with varying thicknesses https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615121596656-THKP9SCCHB0VDQQFGWS3/3d_random_tree_1-min.jpg Project and Concept Explanations - Project: PlotEquation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615121634953-3ELMJP40VBKR1QJBFTFS/3d_random_tree_3-min.jpg Project and Concept Explanations - Project: PlotEquation https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615121615140-OLLRZI70T9734PR73DJN/3d_random_tree_2-min.jpg Project and Concept Explanations - Project: PlotEquation https://www.ixm-ibrahim.com/explanations/project-3d-printed-ocarina monthly 0.5 2021-03-14 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615634413369-0AZEUDHFFQJ30TR6CCUD/ocarina-min.jpg Project and Concept Explanations - Project: 3D-Printed Ocarina https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615635453474-K2X4ZQQAWVLCO929XUZN/ocarina%2Btransparent-min.jpg Project and Concept Explanations - Project: 3D-Printed Ocarina https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615635859030-2W649AOI0BA65D9V2AT8/ocarina%2Bcomponents-min.jpg Project and Concept Explanations - Project: 3D-Printed Ocarina Ocarina Components, left to right: mouthpiece, windway, voicing, interior chamber, exterior surface, all combined https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615635955002-O79Q53I0T3QM5VIK4RRT/ocarina%2Bold-min.jpg Project and Concept Explanations - Project: 3D-Printed Ocarina An old design for hole-placement, before I realized my fingers would have a harder time reaching certain holes https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615636011221-YPEDOFGNTQ7YVBX8CKYS/ocarina%2Btop-min.jpg Project and Concept Explanations - Project: 3D-Printed Ocarina Top view of the final ocarina design https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615636059498-ZAKFXNVPKI0QP37KMJLB/ocarina%2Bbottom-min.jpg Project and Concept Explanations - Project: 3D-Printed Ocarina Bottom view of the final ocarina design https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615636196732-7BG4U8434EMPFM1BJQH6/wip-min.jpg Project and Concept Explanations - Project: 3D-Printed Ocarina https://www.ixm-ibrahim.com/explanations/project-dual-image-objects monthly 0.5 2021-03-14 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615637313640-P7YBNMQCK4BBE92LVJMA/dual+image+3-min.PNG Project and Concept Explanations - Project: Dual Image Objects https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615638332384-OT8BGAOO3EI1I2AP34H3/dual%2Bimage%2B1-min.jpg Project and Concept Explanations - Project: Dual Image Objects Front view: wolf https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615638368037-GRI9A0F49NM7XXAYM0MP/dual%2Bimage%2B2-min.jpg Project and Concept Explanations - Project: Dual Image Objects Side view: lion? eagle? (I forgot what this was) https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615677675828-4E5A60FP8F97W13G3AZ9/curve%2B1-min.jpg Project and Concept Explanations - Project: Dual Image Objects Curve 1 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615677723161-P9UEERR7W7JYCJZP6WAS/curve%2B2-min.jpg Project and Concept Explanations - Project: Dual Image Objects Curve 2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615677844844-RQ2U9592ANT6WU442825/extrusions-min.jpg Project and Concept Explanations - Project: Dual Image Objects Extruded Curves https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615677898639-TFA8N090ECXWMM8GFGLH/trim%2B1-min.jpg Project and Concept Explanations - Project: Dual Image Objects First Trim https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615677959645-NOKVOIX6G5ZNFM81PCI9/trim%2B2-min.jpg Project and Concept Explanations - Project: Dual Image Objects Second Trim https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615678011206-V5VHSUHVW84NXMBY8XY1/trim%2B3-min.jpg Project and Concept Explanations - Project: Dual Image Objects Third Trim https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615678051988-B2HM2HRJUHUYQP6IAR1K/trim%2B4-min.jpg Project and Concept Explanations - Project: Dual Image Objects Fourth Trim https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615678334660-B2RXPE5JYMYMR0N4SQ7L/box-min.jpg Project and Concept Explanations - Project: Dual Image Objects The Box https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615678382878-8X1AT32ULTKDBTW75VUH/wirecut+1-min.JPG Project and Concept Explanations - Project: Dual Image Objects Wirecut 1 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615678457085-Z1NKNPM50RAWHDJ740KV/wirecut+2-min.JPG Project and Concept Explanations - Project: Dual Image Objects Wirecut 2 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615678474114-PEMUPIJ5J5V3Y45WZRC5/comparison-min.gif Project and Concept Explanations - Project: Dual Image Objects The Box method produces a more detailed object than the Extrusion method, which would have required more trimming to get the same level of detail https://www.ixm-ibrahim.com/explanations/category/Engineering monthly 0.5 https://www.ixm-ibrahim.com/explanations/category/Unreal+Engine monthly 0.5 https://www.ixm-ibrahim.com/explanations/category/Computer+Science monthly 0.5 https://www.ixm-ibrahim.com/explanations/category/Math monthly 0.5 https://www.ixm-ibrahim.com/explanations/tag/projections monthly 0.5 https://www.ixm-ibrahim.com/explanations/tag/projects monthly 0.5 https://www.ixm-ibrahim.com/explanations/tag/modeling monthly 0.5 https://www.ixm-ibrahim.com/explanations/tag/hilbert monthly 0.5 https://www.ixm-ibrahim.com/explanations/tag/cylindrical monthly 0.5 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I specialize in C#, C++, and modern database systems like MongoDB and SQL Server, with a strong foundation in network troubleshooting and virtualization. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1617132547815-EVGZZ6KY107Q1OIOQ0S3/skills2.png Home https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1623204689710-6PI8D81MUO8S9YLSAQ12/5-min.PNG Home https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615864865868-DGERR7T0YJADHXW7DB4K/plugin-min.jpg Home https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615864896138-ATFHZLBKRQKHES173EDT/mandelbulb-min.jpg Home https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1612656218542-LR8A620JM0DPH73IR6QW/oregon.png Home - Education Bachelor’s degree in Computer Science (AI and Graphics) Oregon State University College of Engineering Graduation: June 2021 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Computer Science Projects Click Image for Gallery https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615181317525-49FZFX0M1QAED5TIZM8E/mandelbulb-min.jpg Computer Science Projects Click Image for Gallery https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615175084488-MF63WWKDUX8RFWMTXO38/plugin-min+%281%29-min.png Computer Science Projects - PlotEquation This is a C# plugin made for Rhinoceros3D that specializes in generating various mathematical models (ex. cartesian/spherical expressions, implicit surfaces, Sierpinski objects, etc.) that can be further manipulated in any CAD software. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615183600137-VFDEC2KQRO9VV16Y6C1U/bigdouble+head-min.png Computer Science Projects - Big Double Written with C#, this class provides a simple solution in greatly increasing the range of floating-point values without increasing the amount of precision required. https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1615254234835-QLCCT2Q16GTUZGI27Q5U/wip-min.jpg Computer Science Projects - Basic Website This project showcases an old portfolio website made from scratch, showing how HTML, CSS, and JS work together behind the scenes. https://www.ixm-ibrahim.com/experience daily 0.75 2025-07-07 https://www.ixm-ibrahim.com/about-me daily 0.75 2025-07-07 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1619389845660-OZRWEMNUS3KUSWHBBSPI/me_300.png About Me Ibrahim Mahmoud https://www.ixm-ibrahim.com/courses-completed daily 0.75 2021-03-06 https://www.ixm-ibrahim.com/portfolio/unreal-engine daily 0.75 2021-06-09 https://images.squarespace-cdn.com/content/v1/601f19d09c6bdd6741ebb30f/1623204592490-BFKN7XPBZZN18EMAVTJU/5-min.PNG Unreal Engine Projects - Tsunami Simulation Using Unreal Engine, this project simulates how a tsunami would affect the landscape and architecture of Seaside, Oregon using building and 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