Great rhombidodecahedron

Great rhombidodecahedron
Type Uniform star polyhedron
Elements F = 42, E = 120
V = 60 (χ = −18)
Faces by sides 30{4}+12{10/3}
Coxeter diagram (with extra double-covered triangles)
(with extra double-covered pentagrams)
Wythoff symbol 2 5/3 (3/2 5/4) |
Symmetry group Ih, [5,3], *532
Index references U73, C89, W109
Dual polyhedron Great rhombidodecacron
Vertex figure
4.10/3.4/3.10/7
Bowers acronym Gird
3D model of a great rhombidodecahedron

In geometry, the great rhombidodecahedron is a nonconvex uniform polyhedron, indexed as U73. It has 42 faces (30 squares, 12 decagrams), 120 edges and 60 vertices.[1] Its vertex figure is a crossed quadrilateral.

  1. ^ Maeder, Roman. "73: great rhombidodecahedron". MathConsult.