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)).
