Great icosicosidodecahedron

Great icosicosidodecahedron
Type Uniform star polyhedron
Elements F = 52, E = 120
V = 60 (χ = −8)
Faces by sides 20{3}+12{5}+20{6}
Coxeter diagram
Wythoff symbol 3/2 5 | 3
3 5/4 | 3
Symmetry group Ih, [5,3], *532
Index references U48, C62, W88
Dual polyhedron Great icosacronic hexecontahedron
Vertex figure
5.6.3/2.6
Bowers acronym Giid
3D model of a great icosicosidodecahedron

In geometry, the great icosicosidodecahedron (or great icosified icosidodecahedron) is a nonconvex uniform polyhedron, indexed as U48. It has 52 faces (20 triangles, 12 pentagons, and 20 hexagons), 120 edges, and 60 vertices.[1] Its vertex figure is a crossed quadrilateral.

  1. ^ Maeder, Roman. "48: great icosicosidodecahedron". MathConsult.