File:Cell-first parallel projection of 16-cell.gif
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Original file (720 × 782 pixels, file size: 553 KB, MIME type: image/gif, looped, 21 frames, 4.2 s)
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Summary
| Description |
English: cell-first parallel projection of 16-cell |
| Date | |
| Source | Own work |
| Author | Hbghlyj |
Mathematica code:
Manipulate[ConvexHullMesh[Drop[RotationMatrix[{{1,1,1,1},{0,0,0,1}}].#[[1,1]],-1]&/@Table[RegionIntersection[Line[i],Hyperplane[{1,1,1,1},d]],{i,Tuples[{IdentityMatrix[4],-IdentityMatrix[4]}]}]],{d,-1,1}]
or
Export["anim.gif",Table[
Graphics3D[{Opacity[.7],GraphicsComplex[{{0,0,t},{0,t,0},{t,0,0},{1-t,1,0},{1,1-t,0},{1,1,t},{1,0,1-t},{1-t,0,1},{1,t,1},{t,1,1},{0,1,1-t},{0,1-t,1}},Polygon[{{1,2,3},{4,5,6},{7,8,9},{10,11,12},{1,2,11,12},{1,3,7,8},{2,3,5,4},{5,6,9,7},{4,6,10,11},{8,9,10,12},{1,8,12},{2,4,11},{6,9,10},{3,5,7}}]]}],{t,0,1,0.05}],"DisplayDurations"->0.2]
Licensing
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 20:32, 12 November 2024 | | 720 × 782 (553 KB) | Hbghlyj | opacity |
| 20:25, 12 November 2024 |  | 720 × 782 (410 KB) | Hbghlyj | Uploaded while editing "16-cell" on en.wikipedia.org |
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