Small stellated truncated dodecahedron

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Small stellated truncated dodecahedron
Small stellated truncated dodecahedron.png
Type Uniform star polyhedron
Elements F = 24, E = 90
V = 60 (χ = −6)
Faces by sides 12{5}+12{10/3}
Wythoff symbol 2 5 | 5/3
2 5/4 | 5/3
Symmetry group Ih, [5,3], *532
Index references U58, C74, W97
Dual polyhedron Great pentakis dodecahedron
Vertex figure Small stellated truncated dodecahedron vertfig.png
Bowers acronym Quit Sissid

In geometry, the small stellated truncated dodecahedron or quasitruncated small stellated dodecahedron is a nonconvex uniform polyhedron, indexed as U58. It is given a Schläfli symbol t0,1{5/3,5}.

It has 12 pentagons and 12 decagrams, {10/3} faces.

Related polyhedra[edit]

It shares its vertex arrangement with three other uniform polyhedra: the convex rhombicosidodecahedron, the small dodecicosidodecahedron and the small rhombidodecahedron.

It also has the same vertex arrangement as the uniform compounds of 6 or 12 pentagrammic prisms.

Small rhombicosidodecahedron.png
Small dodecicosidodecahedron.png
Small dodecicosidodecahedron
Small rhombidodecahedron.png
Small rhombidodecahedron
Small stellated truncated dodecahedron.png
Small stellated truncated dodecahedron
UC36-6 pentagrammic prisms.png
Compound of six pentagrammic prisms
UC37-12 pentagrammic prisms.png
Compound of twelve pentagrammic prisms

See also[edit]

External links[edit]