Snub icosidodecadodecahedron | |
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Type | Uniform star polyhedron |
Elements | F = 104, E = 180 V = 60 (χ = −16) |
Faces by sides | (20+60){3}+12{5}+12{5/2} |
Coxeter diagram | ![]() ![]() ![]() ![]() |
Wythoff symbol | | 5/3 3 5 |
Symmetry group | I, [5,3]+, 532 |
Index references | U46, C58, W112 |
Dual polyhedron | Medial hexagonal hexecontahedron |
Vertex figure | ![]() 3.3.3.5.3.5/3 |
Bowers acronym | Sided |
In geometry, the snub icosidodecadodecahedron is a nonconvex uniform polyhedron, indexed as U46. It has 104 faces (80 triangles, 12 pentagons, and 12 pentagrams), 180 edges, and 60 vertices.[1] As the name indicates, it belongs to the family of snub polyhedra.