Great retrosnub icosidodecahedron

Great retrosnub icosidodecahedron
TypeUniform star polyhedron
ElementsF = 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 groupI, [5,3]+, 532
Index referencesU74, C90, W117
Dual polyhedronGreat pentagrammic hexecontahedron
Vertex figure
(34.5/2)/2
Bowers acronymGirsid

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. It is given a Schläfli symbol sr{32,53}.