Kepler-Poinsot (or "Star") Polyhedra

Geometry Level 3

These are the Kepler-Poinsot (or "Star") polyhedra.

How many of them share the same vertex arrangement as an icosahedron?


Image credit: https://www.dartmouth.edu
0 1 2 3 4

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1 solution

Geoff Pilling
Dec 21, 2016

They all have 12 12 vertices and share the same vertex arrangement as the icosahedron except for the great stellated dodecahedron which has 20 20 vertices that share the same vertex arrangement as the dodecahedron.

So the answer is 3 \boxed3 of them share the same vertex arrangement as the icosahedron

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