tetrakis hexahedron

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English

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A tetrakis hexahedron
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Noun

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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, Max Bauer, translated by L. J. Spencer, Precious Stones, volume 1, published 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[1], 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[2], 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[3], 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”, in 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.

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