Last modified on 26 October 2014, at 21:26

hexacosichoron

EnglishEdit

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EtymologyEdit

hexacosi- (six hundred) +‎ -choron (room), from Ancient Greek ἑξἀκόσιοι (heksakósioi, six hundred) and χώρος (khṓros, room).

PronunciationEdit

  • IPA(key): /hɛksəɪkoʊsɨˈkoʊrɔn/

NounEdit

hexacosichoron (plural hexacosichorons or hexacosichora)

  1. (mathematics) A four-dimensional object analogous to an icosahedron, constructed out of six hundred tetrahedra, arranged 20 to a vertex.
    • 2007, J.R. Plaisier, L. Jiang, J.P. Abrahams, Cyclops: New modular software suite for cryo-EM [1]
      Fig. 5 shows a polar representation of 5880 rotations generated by subsampling the hexacosichoron.
    • 2011. Artur E. Ruuge, review MR2594002 (2011d:81017) of Waegell, Mordecai and Aravind, P. K., "Critical noncolorings of the 600-cell proving the Bell-Kochen-Specker theorem.", Journal of Physics A 43 (2010), no. 10, 105304
      The present paper deals with a collection of 60 rays in a 4-dimensional real vector space represented by the vertices of a hexacosichoron (i.e. a 4-dimensional analogue of the icosahedron).
      Comment: the reviewer uses the word, the reviewed paper uses 600-cell only.
    • 2012, Andrzej Katunin, Fractals based on regular convex polytopes, page 57:
      The hexacosichoron with an edge-length of 2φ-1 could be constructed from the next permutations of its 120 vertices.

SynonymsEdit

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