Great dodecicosahedron
In geometry, the great dodecicosahedron is a nonconvex uniform polyhedron, indexed as U63. It has 32 faces, 120 edges, and 60 vertices. Its vertex figure is a crossed quadrilateral.
It has a composite Wythoff symbol, 3 |, requiring two different Schwarz triangles to generate it: and.
Its vertex figure 6... is also ambiguous, having two clockwise and two counterclockwise faces around each vertex.
Related polyhedra
It shares its vertex arrangement with the truncated dodecahedron. It additionally shares its edge arrangement with the great icosicosidodecahedron and the great ditrigonal dodecicosidodecahedron.Truncated dodecahedron | Great icosicosidodecahedron | Great ditrigonal dodecicosidodecahedron | Great dodecicosahedron |
Gallery
Traditional filling | Modulo-2 filling |