Truncated icosidodecahedron
The truncated icosidodecahedron or great rhombicosidodecahedron is an Archimedean solid.
Note that the name may be a little misleading, if you truncate an icosidodecahedron by cutting the corners off, you (according to my intuition) do not get an actual regular truncated icosidodecahedron, you get something similar, just with rectangles instead of squares, and either the hexagons or decagons will also not be regular.
Canonical coordinates for the vertices of a truncated icosidodecahedron centered at the origin are all the even permutations of (±1/τ, ±1/τ, ±(3+τ)), (±2/τ, ±τ, ±(1+2τ)), (±1/τ, ±τ2, ±(-1+3τ)), (±(-1+2τ), ±2, ±(2+τ)) and (±τ, ±3, ±2τ), where τ = (1+√5)/2 is the golden mean.
It has 30 regular square faces, 20 regular hexagonal faces, 12 regular decagonal faces, 120 vertices and 180 edges.
See dodecahedron, icosahedron, icosidodecahedron, (small) rhombicosidodecahedron.
External Links
