File:Double 4D rotation of a 5-cell.webm
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Size of this JPG preview of this WEBM file: 800 × 444 pixels. Other resolutions: 320 × 178 pixels | 640 × 356 pixels | 1,350 × 750 pixels.
Original file (WebM audio/video file, VP9, length 36 s, 1,350 × 750 pixels, 427 kbps overall, file size: 1.83 MB)
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Summary
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English: This is an animation of a 4-dimensional polytope called the w:5-cell, i.e. a hyper-tetrahedron, which has been set into a spinning motion with a constant angular velocity. It is plotted as so: the W coordinate has been squashed and replaced by a colouration, then the X-Y-Z coordinates are plotted as a conventional perspective 3D plot.
Here the polytope is exhibiting w:double rotation, where it rotates in the X-Y plane and Z-W plane simultaneously, and with different rates (Z-W rotating once per 12 seconds, and X-Y once per 9 seconds). Since there are different rates but they are fractions of each other, it takes several 'turns' to return to the original orientation. This is part of a series of animations (these videos should loop on modern browsers):
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| Date | |
| Source | Own work |
| Author | Nanite |
Licensing
[edit]I, the copyright holder of this work, hereby publish it under the following license:
 
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This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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File history
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| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 05:58, 15 February 2024 | 36 s, 1,350 × 750 (1.83 MB) | Nanite (talk | contribs) | tweaks | |
| 02:00, 15 February 2024 | 36 s, 1,350 × 750 (1.83 MB) | Nanite (talk | contribs) | higher res and framerate, different rates. | ||
| 00:54, 15 February 2024 | 32 s, 450 × 250 (440 KB) | Nanite (talk | contribs) | Uploaded own work with UploadWizard |
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