File:Cell120.ogv
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Cell120.ogv (Ogg Theora video file, length 9.0 s, 272 × 272 pixels, 1.62 Mbps)
Summary
Animated 3D projection of a 4D rotation of the 120 cell. While it may look like a simple 3D rotation, that is an illusion - it uses a 4D rotation matrix. There are 3 sets of 45 frames each. Each set rotates through 2Pi on the XW plane. The second set adds (using a dot product on each rotation matrix of the first) a rotation through Pi on the YW hyperplane. The third set adds to the second a rotation through Pi/2 in the ZW hyperplane.
Licensing
Lua error in package.lua at line 80: module 'strict' not found.
File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 01:07, 28 April 2019 | 9.0 s, 272 × 272 (1.74 MB) | Thales (talk | contribs) | ||
| 17:12, 9 January 2017 | No thumbnail | (0 bytes) | 127.0.0.1 (talk) | Animated 3D projection of a 4D rotation of the 120 cell. While it may look like a simple 3D rotation, that is an illusion - it uses a 4D rotation matrix. There are 3 sets of 45 frames each. Each set rotates through 2Pi on the XW plane. The second set adds (using a dot product on each rotation matrix of the first) a rotation through Pi on the YW hyperplane. The third set adds to the second a rotation through Pi/2 in the ZW hyperplane. |
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