Tetrakis hexahedron
From Wikipedia, the free encyclopedia
| Tetrakis hexahedron | |
|---|---|
 You can also look at a large version; |
|
| Type | Catalan |
| Face polygon | isosceles triangle |
| Faces | 24 |
| Edges | 36 |
| Vertices | 14 = 6 + 8 |
| Face configuration | V4.6.6 |
| Symmetry group | octahedral (Oh) |
| Dual polyhedron | truncated octahedron |
| Dihedral angle | 143° 7' 48" |
| Properties | convex, face-uniform |
A tetrakis hexahedron is a Catalan solid which looks a bit like an overinflated cube. It is also known as a tetrahexahedron. Tetrakis hexahedra are irregular, but the faces are all the same shape. In other words, the irregularity stems from the fact that the faces are not regular polygons.
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
- The Uniform Polyhedra
- Virtual Reality Polyhedra The Encyclopedia of Polyhedra
- Paper Models of Polyhedra Many links
