The icosahedron – 5

The icosidodecahedron

If you then draw a regular triangle inside of each hexagon of a truncated icosahedron, so that the tips of the triangles touch the middle of three of the edges of the hexagon, the outline that the edges of those triangles inscribe on the surface of the polyhedron is an icosidodecahedron.


 Icosahedron #1 with triangles inscribed   Icosahedron #2 truncated to the triangles 
Icosahedron frame removed to reveal the icosidodecahedron

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