English

A tetrakis hexahedron

Alternative forms

• tetrakishexahedron
• tetrakis-hexahedron

Noun

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.

Synonyms

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

Translations