Cubitruncated cuboctahedron

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Cubitruncated cuboctahedron
Type	Uniform polyhedron
Elements	F=20, E=72, V=48 (χ=-4)
Faces by sides	8{6}+6{8}+6{8/3}
Wythoff symbol	3 44/3 |
Symmetry group	Oh
Index references	U16, C52, W79
6.8.8/3 (Vertex figure)	Tetradyakis hexahedron (dual polyhedron)

In geometry, the cubitruncated cuboctahedron is a nonconvex uniform polyhedron, indexed as U₁₆.

[edit] Cartesian coordinates

Cartesian coordinates for the vertices of a cubitruncated cuboctahedron are all the permutations of

(±(√2−1), ±1, ±(√2+1))

[edit] See also

• List of uniform polyhedra

[edit] External links

• Eric W. Weisstein, Cubitruncated cuboctahedron at MathWorld.