Great retrosnub icosidodecahedron

Great retrosnub icosidodecahedron
Type Uniform star polyhedron
Elements F = 92, E = 150
V = 60 (χ = 2)
Faces by sides (20+60){3}+12{5/2}
Coxeter diagram
Wythoff symbol | 2 3/2 5/3
Symmetry group I, [5,3]+, 532
Index references U74, C90, W117
Dual polyhedron Great pentagrammic hexecontahedron
Vertex figure
(34.5/2)/2
Bowers acronym Girsid
3D model of a great retrosnub icosidodecahedron

In geometry, the great retrosnub icosidodecahedron or great inverted retrosnub icosidodecahedron is a nonconvex uniform polyhedron, indexed as U74. It has 92 faces (80 triangles and 12 pentagrams), 150 edges, and 60 vertices.[1] It is given a Schläfli symbol sr{32,53}.

  1. ^ Maeder, Roman. "74: great retrosnub icosidodecahedron". MathConsult.