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 | 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
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.
Rhombicosidodecahedron |
Small dodecicosidodecahedron |
Small rhombidodecahedron |
Small stellated truncated dodecahedron |
Compound of six pentagrammic prisms |
Compound of twelve pentagrammic prisms |
See also
External links
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