Great truncated cuboctahedron

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Great truncated cuboctahedron
Type	Uniform polyhedron
Elements	F=26, E=72, V=48 (χ=2)
Faces by sides	12{4}+8{6}+6{8/3}
Wythoff symbol	2 34/3 |
Symmetry group	Oh
Index references	U20, C67, W93
4.6.8/3 (Vertex figure)	Great disdyakis dodecahedron (dual polyhedron)

In geometry, the great truncated cuboctahedron is a nonconvex uniform polyhedron, indexed as U₂₀.

[edit] Cartesian coordinates

Cartesian coordinates for the vertices of a great truncated cuboctahedron centered at the origin are all permutations of

(±1, ±(1−√2), ±(1−2√2)).

[edit] See also

• List of uniform polyhedra

[edit] External links

• Eric W. Weisstein, Great truncated cuboctahedron at MathWorld.