File:600-cell vertex geometry.png

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Summary

Description600-cell vertex geometry.png	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	23 April 2019
Source	Own work
Author	Dc.samizdat

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File history

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	Date/Time	Dimensions	User	Comment
current	04:49, 4 January 2021	3,000 × 1,975 (801 KB)	Dc.samizdat	fix framing
	04:20, 4 January 2021	3,000 × 1,975 (795 KB)	Dc.samizdat	text graphic fix
	00:21, 4 January 2021	3,000 × 2,115 (806 KB)	Dc.samizdat	text change
	18:52, 25 May 2019	3,000 × 2,161 (792 KB)	Dc.samizdat	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	correct image defect
	04:49, 16 May 2019	3,000 × 2,201 (783 KB)	Dc.samizdat	changed order of golden ratio captions
	20:32, 13 May 2019	3,000 × 2,185 (776 KB)	Dc.samizdat	add golden triangle
	19:58, 9 May 2019	3,000 × 2,022 (742 KB)	Dc.samizdat	use different character styles of 𝛟 and 𝚽
	06:13, 9 May 2019	3,000 × 1,926 (690 KB)	Dc.samizdat	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	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