Small stellated truncated dodecahedron

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Small stellated truncated dodecahedron
Small stellated truncated dodecahedron
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
5.10/3.10/3
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
Rhombicosidodecahedron
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]