Tetrakis hexahedron
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| Tetrakis hexahedron | |
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 Click on picture for large version. Click here for spinning version. If you have a VRML plugin, click here to open a VRML version. | |
| Type | Catalan |
| Face polygon | isosceles triangle |
| Faces | 24 |
| Edges | 36 |
| Vertices | 14 = 6 + 8 |
| Face configuration | 4,6,6 |
| Symmetry group | octahedral (Oh) |
| Dual polyhedron | truncated hexahedron |
| Dihedral Angle | 143° 8' |
| Properties | convex, face-uniform, vertically regular |
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.
External links
- The Uniform Polyhedra (http://www.mathconsult.ch/showroom/unipoly/)
- Virtual Reality Polyhedra (http://www.georgehart.com/virtual-polyhedra/vp.html) The Encyclopedia of Polyhedra
- Paper Models of Polyhedra (http://www.korthalsaltes.com/) Many links