# Wythoff's Icosahedral Kaleidoscope

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This Demonstration shows the iterated reflections of segments in the mirror planes of a solid angle.

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Contributed by: George Beck (December 2015)

Open content licensed under CC BY-NC-SA

## Snapshots

## Details

Thumbnail: and give the great stellated dodecahedron

Snapshot 1: gives the regular icosahedron

Snapshot 2: gives the regular dodecahedron

Snapshot 3: and give the small stellated dodecahedron

Snapshot 4: and give the great dodecahedron

If you can find placements for the segments that give the icosidodecahedron or its dual, the rhombic triacontahedron, please let me know so I can add them.

Reference

[1] H. S. M. Coxeter, *Regular Complex Polytopes*, London: Cambridge University Press, 1974 pp. 23–24.

## Permanent Citation