Dictionary

hexacosichoron en · NOUN

Pronunciation

• /hɛksəɪkoʊsɪˈkoʊɹɔn/

Etymology

From hexacosi- (“six hundred”) + -choron (“room”), from Ancient Greek ἑξακόσιοι (hexakósioi, “six hundred”) and χῶρος (khôros, “room”).

Meanings

1. A four-dimensional object analogous to an icosahedron, constructed out of six hundred tetrahedra, arranged 20 to a vertex.
   • The hexacosichoron with an edge-length of 2φ⁻¹ could be constructed from the next permutations of its 120 vertices. 2012, Andrzej Katunin, Fractals based on regular convex polytopes, page 57:
   • 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. 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
   • Fig. 5 shows a polar representation of 5880 rotations generated by subsampling the hexacosichoron. 2007, J.R. Plaisier, L. Jiang, J.P. Abrahams, Cyclops: New modular software suite for cryo-EM:

Forms

Synonyms

600-cell

Translations (5)

fi 600-solu (four-dimensional object) · pl sześćsetościan czterowymiarowy (four-dimensional object) · eo sescentĉelo (four-dimensional object) · es hexacosicoron (four-dimensional object) · ja 正六百胞体 (four-dimensional object)