Truncated_great_dodecahedron
Truncated great dodecahedron
Polyhedron with 24 faces
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}.
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 |