Cubitruncated cuboctahedron: Difference between revisions
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{{Uniform polyhedra db|Uniform polyhedron stat table|ctCO}} |
{{Uniform polyhedra db|Uniform polyhedron stat table|ctCO}} |
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In [[geometry]], the '''cubitruncated cuboctahedron''' is a [[nonconvex uniform polyhedron]], indexed as U<sub>16</sub>. |
In [[geometry]], the '''cubitruncated cuboctahedron''' or '''cuboctatruncated cuboctahedron''' is a [[nonconvex uniform polyhedron]], indexed as U<sub>16</sub>. |
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== Convex hull == |
== Convex hull == |
Revision as of 15:11, 13 April 2014
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 |
In geometry, the cubitruncated cuboctahedron or cuboctatruncated cuboctahedron is a nonconvex uniform polyhedron, indexed as U16.
Convex hull
Its convex hull is a nonuniform truncated cuboctahedron.
Convex hull |
Cubitruncated cuboctahedron |
Cartesian coordinates
Cartesian coordinates for the vertices of a cubitruncated cuboctahedron are all the permutations of
- (±(√2−1), ±1, ±(√2+1))