Cubitruncated cuboctahedron

Cubitruncated cuboctahedron
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 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))

See also

• List of uniform polyhedra

External links

• Weisstein, Eric W. "Cubitruncated cuboctahedron". MathWorld.