In geometry, the great stellated truncated dodecahedron (or quasitruncated great stellated dodecahedron or great stellatruncated dodecahedron) is a nonconvex uniform polyhedron, indexed as U66. It has 32 faces (20 triangles and 12 decagrams), 90 edges, and 60 vertices. It is given a Schläfli symbol
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 Cartesian coordinates for the vertices of a great stellated truncated dodecahedron are all the even permutations of
where is the golden ratio.
See also List of uniform polyhedra
References
External links