0 plural of dodecahedron specialized
The three dodecahedra are all stellations of the regular convex dodecahedron, and the great icosahedron is a stellation of the regular convex icosahedron.
They were originally white, magnetic dodecahedra in three nested sizes, with one reflective side.
Each vertex has 3 truncated dodecahedra and one tetrahedron around it.
There are 4800 edges of two types: 3600 shared by three truncated dodecahedra and 1200 are shared by two truncated dodecahedra and one tetrahedron.
The dodecahedra are regular, but look flattened because of the projection and direction of viewing.
There are 6,384,634 topologically distinct "convex" dodecahedra, excluding mirror images, having at least 8 vertices.
It contains 2640 cells: 120 truncated dodecahedra, 720 decagonal prisms, 1200 triangular prisms, and 600 cuboctahedra.
It is a quotient space of the order-5 dodecahedral honeycomb, a regular tessellation of hyperbolic 3-space by dodecahedra with this dihedral angle.