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Truncated great dodecahedron information


Truncated great dodecahedron
Type Uniform star polyhedron
Elements F = 24, E = 90
V = 60 (χ = −6)
Faces by sides 12{5/2}+12{10}
Coxeter diagram
Wythoff symbol 2 5/2 | 5
2 5/3 | 5
Symmetry group Ih, [5,3], *532
Index references U37, C47, W75
Dual polyhedron Small stellapentakis dodecahedron
Vertex figure
10.10.5/2
Bowers acronym Tigid
3D model of a truncated great dodecahedron

In geometry, the truncated great dodecahedron is a nonconvex uniform polyhedron, indexed as U37. It has 24 faces (12 pentagrams and 12 decagons), 90 edges, and 60 vertices.[1] It is given a Schläfli symbol t{5,5/2}.

  1. ^ Maeder, Roman. "37: truncated great dodecahedron". MathConsult.

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