Great snub icosidodecahedron

Great snub 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 5/2 3
Symmetry group I, [5,3]+, 532
Index references U57, C88, W113
Dual polyhedron Great pentagonal hexecontahedron
Vertex figure
34.5/2
Bowers acronym Gosid
3D model of a great snub icosidodecahedron

In geometry, the great snub icosidodecahedron is a nonconvex uniform polyhedron, indexed as U57. It has 92 faces (80 triangles and 12 pentagrams), 150 edges, and 60 vertices.[1] It can be represented by a Schläfli symbol sr{52,3}, and Coxeter-Dynkin diagram .

This polyhedron is the snub member of a family that includes the great icosahedron, the great stellated dodecahedron and the great icosidodecahedron.

In the book Polyhedron Models by Magnus Wenninger, the polyhedron is misnamed great inverted snub icosidodecahedron, and vice versa.

  1. ^ Maeder, Roman. "57: great snub icosidodecahedron". MathConsult.