Truncated cube
In geometry, the truncated cube, or truncated hexahedron, is an Archimedean solid. It has 14 regular faces (6 octagonal and 8 triangular), 36 edges, and 24 vertices.
| Truncated cube | |
|---|---|
(Click here for rotating model) | |
| Type | Archimedean solid Uniform polyhedron |
| Elements | F = 14, E = 36, V = 24 (χ = 2) |
| Faces by sides | 8{3}+6{8} |
| Conway notation | tC |
| Schläfli symbols | t{4,3} |
| t0,1{4,3} | |
| Wythoff symbol | 2 3 | 4 |
| Coxeter diagram | |
| Symmetry group | Oh, B3, [4,3], (*432), order 48 |
| Rotation group | O, [4,3]+, (432), order 24 |
| Dihedral angle | 3-8: 125°15′51″ 8-8: 90° |
| References | U09, C21, W8 |
| Properties | Semiregular convex |
Colored faces |
3.8.8 (Vertex figure) |
Triakis octahedron (dual polyhedron) |
Net |
If the truncated cube has unit edge length, its dual triakis octahedron has edges of lengths 2 and 2 + √2.
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