Tetrakis hexahedron
From Free net encyclopedia
| Tetrakis hexahedron | |
|---|---|
| Image:Tetrakishexahedron.jpg 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 | V4.6.6 |
| Symmetry group | octahedral (Oh) |
| Dual polyhedron | truncated cube |
| Dihedral Angle | 143° 8' |
| 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.
Naturally occurring (crystal) formations of tetrahexahedrons are observed in copper and fluorite systems.
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External links
- The Uniform Polyhedra
- Virtual Reality Polyhedra The Encyclopedia of Polyhedra
- Paper Models of Polyhedra Many links
Template:Polyhedron-stubja:四方六面体 es:Hexaedro tetrakis pt:Hexaedro tetrakis