Small stellated truncated dodecahedron information
Polyhedron with 24 faces
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}
Coxeter diagram
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
3D model of a small stellated truncated dodecahedron
In 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.[1] It is given a Schläfli symbol t{5⁄3,5}, and Coxeter diagram .
^Maeder, Roman. "58: small stellated truncated dodecahedron". MathConsult.
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