Icositruncated dodecadodecahedron


In geometry, the icositruncated dodecadodecahedron or icosidodecatruncated icosidodecahedron is a nonconvex uniform polyhedron, indexed as U45.

Convex hull

Its convex hull is a nonuniform truncated icosidodecahedron.

Truncated icosidodecahedron
Convex hull
Icositruncated dodecadodecahedron

Cartesian coordinates

Cartesian coordinates for the vertices of an icositruncated dodecadodecahedron are all the even permutations of
where is the golden ratio.

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.