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Tetrakis hexahedron
TypeCatalan
Face polygonisosceles triangle
Faces24
Edges36
Vertices14 = 6 + 8
Face configurationV4.6.6
Symmetry groupoctahedral (Oh)
Dual polyhedrontruncated octahedron
Dihedral Angle143° 8'
Propertiesconvex, 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


Catalan solids

四方六面体 | Hexaedro tetrakis | Hexaedro tetrakis

 

This article is licensed under the GNU Free Documentation License. It uses material from the "Tetrakis hexahedron".

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