hexacosichoron
Contents
EnglishEdit
EtymologyEdit
hexacosi (“six hundred”) + choron (“room”), from Ancient Greek ἑξἀκόσιοι (hexakósioi, “six hundred”) and χώρος (khṓros, “room”).
PronunciationEdit
 IPA^{(key)}: /hɛksəɪkoʊsɨˈkoʊɹɔn/
NounEdit
hexacosichoron (plural hexacosichorons or hexacosichora)
 (mathematics) A fourdimensional 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 cryoEM [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 600cell proving the BellKochenSpecker theorem.", Journal of Physics A 43 (2010), no. 10, 105304
 The present paper deals with a collection of 60 rays in a 4dimensional real vector space represented by the vertices of a hexacosichoron (i.e. a 4dimensional analogue of the icosahedron).
 Comment: the reviewer uses the word, the reviewed paper uses 600cell only.

2012, Andrzej Katunin, Fractals based on regular convex polytopes^{[2]}, page 57:
 The hexacosichoron with an edgelength of 2φ^{1} could be constructed from the next permutations of its 120 vertices.
 2007, J.R. Plaisier, L. Jiang, J.P. Abrahams, Cyclops: New modular software suite for cryoEM [1]
SynonymsEdit
TranslationsEdit
fourdimensional object

