Tetrakis hexahedron
From Wikipedia, the free encyclopedia
| Triakis hexahedron | |
|---|---|
 (Click here for rotating model) |
|
| Type | Catalan solid |
| Face type | isosceles triangle |
| Faces | 24 |
| Edges | 36 |
| Vertices | 14 |
| Vertices by type | 6{4}+8{6} |
| Face configuration | V4.6.6 |
| Symmetry group | Oh |
| Dihedral angle | 143°7'48" |
| Dual | Truncated octahedron |
| Properties | convex, face-transitive |
A tetrakis hexahedron is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated octahedron.
It can be seen as a cube with square pyamids covering each face. This interpretation is expressed in the name.
Polyhedral dice shaped like the Tetrakis hexahedron are occasionally used by gamers.
The Tetrakis hexahedron is the projection envelope of the 24-cell under a vertex-first perspective projection.[citation needed]
Naturally occurring (crystal) formations of tetrahexahedrons are observed in copper and fluorite systems.
[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, Tetrakis hexahedron at MathWorld.
- The Uniform Polyhedra
- Virtual Reality Polyhedra The Encyclopedia of Polyhedra
- Paper Models of Polyhedra Many links
