Tetrakis hexahedron

Tetrakis hexahedron
Tetrakis hexahedron You can also look at a large version; a spinning version; a VRML version (if you have a VRML plugin).
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° 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.

External links

*The Uniform Polyhedra
*Virtual Reality Polyhedra The Encyclopedia of Polyhedra
*Paper Models of Polyhedra Many links