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hecaton- (one hundred) +‎ icosa- (twenty) +‎ -choron (room), from Ancient Greek ἑκατόν (hekatón, one hundred) εἴκοσι (eíkosi, twenty) and χώρος (khṓros, room).


  • IPA(key): /hɛkətɔnaɪkoʊsɨˈkoʊɹɔn/


hecatonicosachoron (plural hecatonicosachorons or hecatonicosachora)

  1. (mathematics) A four-dimensional object analogous to a dodecahedron, constructed out of one hundred and twenty dodecahedra, arranged 4 to a vertex.
    • 2011, Jin Akiyama and Ikuro Sato, The element number of the convex regular polytopes[1], page 271:
      The pentachoron, the hecatonicosachoron, and the hexacosichoron all have dichoral angles which are not divisors of 2π, and consequently, they are not space-filling.
    • 2012, Andrzej Katunin, Fractals based on regular convex polytopes[2], page 57:
      The hecatonicosachoron (dodecaplex or 120-cell) and the hexacosichoron (tet- raplex or 600-cell) are also unique polychora, which have no analogs in higher dimensions.
    • 2012, Richard Elwes, How to Solve the Da Vinci Code[3]:
      The pentachoron, hypercube, orthoplex, hecatonicosachoron, and hexacosichoron are analogues of the ordinary Platonic solids.