tetrakis hexahedron

plural tetrakis hexahedra · plural tetrakis hexahedrons · alternative tetrakishexahedron · alternative tetrakis-hexahedron

1. geometryA 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.

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

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

   4 more examples

   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.

   1904, Max Bauer, translated by L. J. Spencer, Precious Stones, volume 1, published 1968, page 154

   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:

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

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

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

   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.

   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”, in Andrzej Kolinski, editor, Multiscale Approaches to Protein Modeling, page 150

   Synonyms: dysdakis hexahedron, hextetrahedron, hexatetrahedron, kiscube, tetrahexahedron