hecatonicosachoron

English

Etymology

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

Pronunciation

• IPA^(key): /hɛkətɔnaɪkoʊsɪˈkoʊɹɔn/

Noun

hecatonicosachoron (plural hecatonicosachorons or hecatonicosachora)

1. (geometry) A four-dimensional object analogous to a dodecahedron, constructed out of one hundred and twenty dodecahedra, arranged 4 to a vertex.
   • 2011, Jin Akiyama, 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.

Synonyms

• 120-cell
• dodecacontachoron

Translations

four-dimensional object

• Esperanto: centdudekĉelo
• Japanese: 正百二十胞体 (せいひゃくにじゅうほうたい, seihyakunijūhōtai)