Nonconvex great rhombicosidodecahedron information
Polyhedron with 62 faces
Nonconvex great rhombicosidodecahedron
Type
Uniform star polyhedron
Elements
F = 62, E = 120 V = 60 (χ = 2)
Faces by sides
20{3}+30{4}+12{5/2}
Coxeter diagram
Wythoff symbol
5/3 3 | 2 5/2 3/2 | 2
Symmetry group
Ih, [5,3], *532
Index references
U67, C84, W105
Dual polyhedron
Great deltoidal hexecontahedron
Vertex figure
3.4.5/3.4
Bowers acronym
Qrid
3D model of a nonconvex great rhombicosidodecahedron
In geometry, the nonconvex great rhombicosidodecahedron is a nonconvex uniform polyhedron, indexed as U67. It has 62 faces (20 triangles, 30 squares and 12 pentagrams), 120 edges, and 60 vertices.[1] It is also called the quasirhombicosidodecahedron. It is given a Schläfli symbol rr{5⁄3,3}. Its vertex figure is a crossed quadrilateral.
This model shares the name with the convex great rhombicosidodecahedron, also known as the truncated icosidodecahedron.
^Maeder, Roman. "67: great rhombicosidodecahedron". MathConsult.
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