Icositruncated dodecadodecahedron
In geometry, the icositruncated dodecadodecahedron or icosidodecatruncated icosidodecahedron is a nonconvex uniform polyhedron, indexed as U. Convex hull. Its convex hull is a nonuniform truncated icosidodecahedron. Cartesian coordinates. Cartesian coordinates for the vertices of an icositruncated dodecadodecahedron are all the even permutations of where τ = (1+)/2 is the golden ratio (sometimes written φ). Related polyhedra. Tridyakis icosahedron. The tridyakis icosahedron is the dual polyhedron of the icositruncated dodecadodecahedron. It has 44 vertices, 180 edges, and 120 scalene triangular faces.