File:600-cell vertex geometry.png
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Captions
Captions
Vertex geometry of the 600-cell, showing the 5 great circle regular polygons and the 8 vertex-to-vertex chord lengths. The pentagonal features are in the golden ratio.
Summary[edit]
| Description |
English: The 120 vertices of the 600-cell are distributed at eight different chord lengths from each other: √1, √2, √3, √4 (as in the 24-cell) and at four fractions of √5 that are functions of the golden ratio. The chords occur in hexagonal, square, and triangular great circles (as in the 24-cell) and in pentagonal and decagonal great circles. |
| Date | |
| Source | Own work |
| Author | Dc.samizdat |
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File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 04:49, 4 January 2021 | | 3,000 × 1,975 (801 KB) | Dc.samizdat (talk | contribs) | fix framing |
| 04:20, 4 January 2021 |  | 3,000 × 1,975 (795 KB) | Dc.samizdat (talk | contribs) | text graphic fix | |
| 00:21, 4 January 2021 |  | 3,000 × 2,115 (806 KB) | Dc.samizdat (talk | contribs) | text change | |
| 18:52, 25 May 2019 |  | 3,000 × 2,161 (792 KB) | Dc.samizdat (talk | contribs) | golden-shade the golden triangle, and label its long edge (the radius) √1 | |
| 04:54, 16 May 2019 |  | 3,000 × 2,192 (782 KB) | Dc.samizdat (talk | contribs) | correct image defect | |
| 04:49, 16 May 2019 |  | 3,000 × 2,201 (783 KB) | Dc.samizdat (talk | contribs) | changed order of golden ratio captions | |
| 20:32, 13 May 2019 |  | 3,000 × 2,185 (776 KB) | Dc.samizdat (talk | contribs) | add golden triangle | |
| 19:58, 9 May 2019 |  | 3,000 × 2,022 (742 KB) | Dc.samizdat (talk | contribs) | use different character styles of 𝛟 and 𝚽 | |
| 06:13, 9 May 2019 |  | 3,000 × 1,926 (690 KB) | Dc.samizdat (talk | contribs) | spread chord captions farther apart for clarity; orange text rather than brown (again) | |
| 02:28, 9 May 2019 |  | 3,000 × 1,926 (701 KB) | Dc.samizdat (talk | contribs) | caption and text changes: specify the golden ratio so that the chords can all be labeled with lengths that are square roots of the sum of an integer and one of two golden-ratio fractions |
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