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File:24-cell vertex geometry.png

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Summary

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English: The 24 vertices of the 24-cell are distributed at four different chord lengths from each other: √1, √2, √3, or √4. The √1 edges occur in 16 hexagonal great circles. The √2 chords occur in 18 square great circles. The √3 chords occur in 32 triangular great circles. The √4 chords occur as 12 vertex-to-vertex diameters, the 24 radii around the 25th central vertex.
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Author Dc.samizdat

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Captions

Vertex geometry of the 24-cell, showing the 3 great circle polygons and the 4 vertex-to-vertex chord lengths.

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23 April 2019

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Date/TimeThumbnailDimensionsUserComment
current20:46, 13 May 2019Thumbnail for version as of 20:46, 13 May 20193,000 × 3,050 (597 KB)Dc.samizdatadded radially equilateral triangle
05:44, 29 April 2019Thumbnail for version as of 05:44, 29 April 20193,000 × 3,121 (584 KB)Dc.samizdatadded faint circle of 1/2-unit radius
19:41, 23 April 2019Thumbnail for version as of 19:41, 23 April 20193,000 × 3,013 (544 KB)Dc.samizdatUser created page with UploadWizard

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