0 a solid shape that has twelve flat surfaces of equal size with five sides --
1 a solid shape that has twelve flat surfaces of equal size, each with five sides --
It is the dual of the dodecahedron, which is represented by 5,3, having three pentagonal faces around each vertex.
It can also be called an "expanded" or "cantellated" dodecahedron or icosahedron, from truncation operations on either uniform polyhedron.
At the heart of the villa is the dodecahedron fountain.
Note the duality between cube and octahedron, and between dodecahedron and icosahedron.
Unlike the great icosahedron and great dodecahedron, the great icosidodecahedron is not a stellation of the icosidodecahedron.
However, neither the regular icosahedron nor the regular dodecahedron are amongst them.
There are infinitely many of these, but only one is convex: the dodecahedron.
It also shares the same edge arrangement as the small stellated dodecahedron.
