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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.
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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.