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Cubitruncated cuboctahedron
Polyhedron with 20 faces / From Wikipedia, the free encyclopedia
In geometry, the cubitruncated cuboctahedron or cuboctatruncated cuboctahedron is a nonconvex uniform polyhedron, indexed as U16. It has 20 faces (8 hexagons, 6 octagons, and 6 octagrams), 72 edges, and 48 vertices,[1] and has a shäfli symbol of tr{4,3/2}
Cubitruncated cuboctahedron | |
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Type | Uniform star polyhedron |
Elements | F = 20, E = 72 V = 48 (χ = −4) |
Faces by sides | 8{6}+6{8}+6{8/3} |
Coxeter diagram | ![]() ![]() ![]() ![]() |
Wythoff symbol | 3 4 4/3 | |
Symmetry group | Oh, [4,3], *432 |
Index references | U16, C52, W79 |
Dual polyhedron | Tetradyakis hexahedron |
Vertex figure | ![]() 6.8.8/3 |
Bowers acronym | Cotco |
![](http://upload.wikimedia.org/wikipedia/commons/thumb/f/f5/Cubitruncated_cuboctahedron.stl/640px-Cubitruncated_cuboctahedron.stl.png)