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