English

Noun

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, 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.

Synonyms

• 120-cell

Translations