Great dodecahemidodecahedron
In geometry, the great dodecahemidodecahedron is a nonconvex uniform polyhedron, indexed as U70. It has 18 faces, 60 edges, and 30 vertices. Its vertex figure is a crossed quadrilateral.
Aside from the regular small stellated dodecahedron and great stellated dodecahedron, it is the only nonconvex uniform polyhedron whose faces are all non-convex regular polygons, namely the star polygons pentagram| and decagram |.
It is a hemipolyhedron with 6 decagrammic faces passing through the model center.
Related polyhedra
Its convex hull is the icosidodecahedron. It also shares its edge arrangement with the great icosidodecahedron and the great icosihemidodecahedron.Great icosidodecahedron | Great dodecahemidodecahedron | Great icosihemidodecahedron |
Icosidodecahedron | - | - |
Gallery
Traditional filling | Modulo-2 filling |