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): /hɛkətɔnaɪkoʊsɨˈkoʊɹɔn/
Noun
hecatonicosachoron (plural hecatonicosachorons or hecatonicosachora)
- (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, 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, 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:
- The pentachoron, hypercube, orthoplex, hecatonicosachoron, and hexacosichoron are analogues of the ordinary Platonic solids.
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Synonyms
- 120-cell
Translations
four-dimensional object
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