Dictionary

hecatonicosachoron en · NOUN

Pronunciation

• (US) audio
• /hɛkətɔnaɪkoʊsɪˈkoʊɹɔn/

Etymology

From hecaton- (“one hundred”) + icosa- (“twenty”) + -choron (“room”), from Ancient Greek ἑκατόν (hekatón, “one hundred”) εἴκοσι (eíkosi, “twenty”) and χῶρος (khôros, “room”).

Meanings

1. A four-dimensional object analogous to a dodecahedron, constructed out of one hundred and twenty dodecahedra, arranged 4 to a vertex.
   • The pentachoron, the hecatonicosachoron, and the hexacosichoron all have dichoral angles which are not divisors of 2π, and consequently, they are not space-filling. 2011, Jin Akiyama, Ikuro Sato, The element number of the convex regular polytopes, page 271:
   • 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, Andrzej Katunin, Fractals based on regular convex polytopes, page 57:
   • The pentachoron, hypercube, orthoplex, hecatonicosachoron, and hexacosichoron are analogues of the ordinary Platonic solids. 2012, Richard Elwes, How to Solve the Da Vinci Code:

Forms

Synonyms

dodecacontachoron · 120-cell

Translations (4)

fi 120-solu (four-dimensional object) · eo centdudekĉelo (four-dimensional object) · ja 正百二十胞体 (four-dimensional object) · pl stodwudziestościan czterowymiarowy (four-dimensional object)