Small stellated truncated dodecahedron

Small stellated truncated dodecahedron
File: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}
Coxeter diagram	Template:CDD
Wythoff symbol	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	File:Small stellated truncated dodecahedron vertfig.png 5.10/3.10/3
Bowers acronym	Quit Sissid

File:Small stellated truncated dodecahedron.stl

3D model of a small stellated truncated dodecahedron

In three-dimensional geometry, the small stellated truncated dodecahedron (or quasitruncated small stellated dodecahedron or small stellatruncated dodecahedron) is a nonconvex uniform polyhedron, indexed as U₅₈. It has 24 faces (12 pentagons and 12 decagrams), 90 edges, and 60 vertices. It is given a Schläfli symbol t{5⁄3,5}, and Coxeter diagram Template:CDD.

Related polyhedra

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.

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

See also

• List of uniform polyhedra

External links

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