Great snub dodecicosidodecahedron
In geometry, the great snub dodecicosidodecahedron is a nonconvex uniform polyhedron, indexed as U64. It has 104 faces, 180 edges, and 60 vertices. It has Coxeter diagram,. It has the unusual feature that its 24 pentagram faces occur in 12 coplanar pairs.
Related polyhedra
It shares its vertices and edges, as well as 20 of its triangular faces and all its pentagrammic faces, with the great dirhombicosidodecahedron,. It shares its other 60 triangular faces with the great disnub dirhombidodecahedron.The edges and triangular faces also occur in the compound of twenty octahedra. In addition, 20 of the triangular faces occur in one enantiomer of the compound of twenty tetrahemihexahedra, and the other 60 triangular faces occur in the other enantiomer.
Convex hull | Great snub dodecicosidodecahedron | Great dirhombicosidodecahedron |
Great disnub dirhombidodecahedron | Compound of twenty octahedra | Compound of twenty tetrahemihexahedra |
Gallery
Traditional filling | Modulo-2 filling |