tetrakis hexahedron

• tetrakishexahedron
• tetrakis-hexahedron

tetrakis hexahedron (plural tetrakis hexahedra or tetrakis hexahedrons)

1. (geometry) A Catalan solid that has 24 congruent triangular faces and 36 edges and can be imagined as a cube with a square pyramid on each face.
   • 1904, L. J. Spencer (translator), Max Bauer, Precious Stones, Volume 1, 1968, page 154,

     Of the fourteen crystals examined, five were from the Karnul district (four tetrakis-hexahedra and one octahedron with tetrakis-hexahedron), one from Sambalpur (tetrakis-hexahedron with octahedron, four from Panna (much distorted tetrakis-hexahedra), the remaining four said to have come from Simla.

   • 1909, Marshman Edward Wadsworth, Crystallography: An Elementary Manual for the Laboratory‎, page 189:

     In the Isometric Tribe can be found the families of the Tetrakis Hexahedrons and Octahedrons, with their various descendants.

   • 1922, Alfred Edwin Howard Tutton, Crystallography and Practical Crystal Measurement‎, volume 1, page 153:

     The goniometrical angle over the longer edges, that is, the angle between the normals to each pair of faces intersecting in a longer edge, in the cases of the two tetrakis hexahedra most frequently met with, has the following values:

   • 1946, Mineralogical Society of America, Mineralogical Abstracts‎, volume 9, page 109:

     Not one exhibits plane faces or straight edges, being mostly distorted triakis-octahedra or tetrakis-hexahedra with finely striated curved faces.

   • 2010, Sumudu P. Leelananda, Yaping Feng, Pawel Gniewek, Andrzej Kloczkowski, Robert L. Jernigan, 6: Statistical Contact Potentials in Protein Coarse-Grained Modeling: From Pair to Multi-body Potentials, Andrzej Kolinski (editor), Multiscale Approaches to Protein Modeling, page 150,

     Because of this another polyhedron – the tetrakis hexahedron – that has 14 vertices and 24 faces might be also a good model. The tetrakis hexahedron is slightly less regular than an icosahedron.

• (cube with a square pyramid on each face): dysdakis hexahedron, hextetrahedron, hexatetrahedron, kiscube, tetrahexahedron