Jump to content

File:600-cell vertex geometry.png

Page contents not supported in other languages.
This is a file from the Wikimedia Commons
From Wikipedia, the free encyclopedia

Original file (3,000 × 1,975 pixels, file size: 801 KB, MIME type: image/png)

Summary

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

Licensing

I, the copyright holder of this work, hereby publish it under the following license:
w:en:Creative Commons
attribution share alike
This file is licensed under the Creative Commons Attribution-Share Alike 4.0 International license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
  • share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

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.

Items portrayed in this file

depicts

23 April 2019

image/png

93a8dc15c6d0149de0057d6ef008735b1629b5d4

820,119 byte

1,975 pixel

3,000 pixel

File history

Click on a date/time to view the file as it appeared at that time.

(newest | oldest) View (newer 10 | ) (10 | 20 | 50 | 100 | 250 | 500)
Date/TimeThumbnailDimensionsUserComment
current04:49, 4 January 2021Thumbnail for version as of 04:49, 4 January 20213,000 × 1,975 (801 KB)Dc.samizdatfix framing
04:20, 4 January 2021Thumbnail for version as of 04:20, 4 January 20213,000 × 1,975 (795 KB)Dc.samizdattext graphic fix
00:21, 4 January 2021Thumbnail for version as of 00:21, 4 January 20213,000 × 2,115 (806 KB)Dc.samizdattext change
18:52, 25 May 2019Thumbnail for version as of 18:52, 25 May 20193,000 × 2,161 (792 KB)Dc.samizdatgolden-shade the golden triangle, and label its long edge (the radius) √1
04:54, 16 May 2019Thumbnail for version as of 04:54, 16 May 20193,000 × 2,192 (782 KB)Dc.samizdatcorrect image defect
04:49, 16 May 2019Thumbnail for version as of 04:49, 16 May 20193,000 × 2,201 (783 KB)Dc.samizdatchanged order of golden ratio captions
20:32, 13 May 2019Thumbnail for version as of 20:32, 13 May 20193,000 × 2,185 (776 KB)Dc.samizdatadd golden triangle
19:58, 9 May 2019Thumbnail for version as of 19:58, 9 May 20193,000 × 2,022 (742 KB)Dc.samizdatuse different character styles of 𝛟 and 𝚽
06:13, 9 May 2019Thumbnail for version as of 06:13, 9 May 20193,000 × 1,926 (690 KB)Dc.samizdatspread chord captions farther apart for clarity; orange text rather than brown (again)
02:28, 9 May 2019Thumbnail for version as of 02:28, 9 May 20193,000 × 1,926 (701 KB)Dc.samizdatcaption 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
(newest | oldest) View (newer 10 | ) (10 | 20 | 50 | 100 | 250 | 500)

The following page uses this file:

Global file usage

The following other wikis use this file:

Metadata