hecatonicosachoron

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

• IPA^(key): /hɛkətɔnaɪkoʊsɪˈkoʊɹɔn/

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 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.

• 120-cell
• dodecacontachoron