Great stellated truncated dodecahedron


In geometry, the great stellated truncated dodecahedron is a nonconvex uniform polyhedron, indexed as U66. It has 32 faces, 90 edges, and 60 vertices. It is given a Schläfli symbol t0,1.

Related polyhedra

It shares its vertex arrangement with three other uniform polyhedra: the small icosicosidodecahedron, the small ditrigonal dodecicosidodecahedron, and the small dodecicosahedron:

Great stellated truncated dodecahedron
Small icosicosidodecahedron
Small ditrigonal dodecicosidodecahedron
Small dodecicosahedron

Cartesian coordinates

for the vertices of a great stellated truncated dodecahedron are all the even permutations of
where τ = /2 is the golden ratio.