Truncated cube
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| Truncated cube | |
|---|---|
 (Click here for rotating model) |
|
| Type | Archimedean solid |
| Elements | F=14, E=36, V=24 (χ=2) |
| Faces by sides | 8{3}+6{8} |
| Schläfli symbol | t{4,3} |
| Wythoff symbol | 2 3 | 4 |
| Coxeter-Dynkin |     |
| Symmetry | Oh |
| References | U09, C21, W8 |
| Properties | Semiregular convex |
 Colored faces |
 3.8.8 (Vertex figure) |
 Triakis octahedron (dual polyhedron) |
 Net |
The truncated cube, or truncated hexahedron, is an Archimedean solid. It has 6 regular octagonal faces, 8 regular triangular faces, 24 vertices and 36 edges.
Contents |
[edit] Cartesian coordinates
The following Cartesian coordinates define the vertices of a truncated hexahedron centered at the origin:
- (±ξ, ±1, ±1),
- (±1, ±ξ, ±1)
- (±1, ±1, ±ξ)
where ξ = 
.
[edit] Related polyhedra
Compare:
 Cube |
 Truncated cube |
 cuboctahedron |
 Truncated octahedron |
 Octahedron |
It shares the vertex arrangement with three uniform star polyhedrons:
 (4.8/3.4/3.8/5) |
 (8/3.3.8/3.4) |
 (4.3/2.4.4) |
[edit] See also
[edit] References
- Williams, Robert (1979). The Geometrical Foundation of Natural Structure: A Source Book of Design. Dover Publications, Inc. ISBN 0-486-23729-X. (Section 3-9)
[edit] External links
- Eric W. Weisstein, Truncated cube at MathWorld.
- The Uniform Polyhedra
- Virtual Reality Polyhedra The Encyclopedia of Polyhedra
