Dictionary

icositetrachoron en · NOUN

Pronunciation

• (US) audio
• /aɪkoʊsɪtɛtɹəˈkoʊɹɔn/

Etymology

From icosi- (“twenty”) + tetra- (“four”) + -choron (“room”), from Ancient Greek εἴκοσι (eíkosi, “twenty”) τέτταρες (téttares, “four”) and χῶρος (khôros, “room”).

Meanings

1. A four-dimensional object with no regular three-dimensional analogue, constructed out of twenty-four octahedra.
   • There are six convex regular 4-polytopes; five of these are the higher dimensional analogs of the Platonic solids, and one additional figure, the icositetrachoron, has no three-dimensional equivalent. 2011, Jin Akiyama, Ikuro Sato, The element number of the convex regular polytopes, page 270:
   • The icositetrachoron (hyperdiamond, octaplex or 24-cell) is the most unique polychoron, because it has no direct analog in any other dimension. 2012, Andrzej Katunin, Fractals based on regular convex polytopes, page 56:
   • Shape of Nature comes from a unique, optimally symmetric geometric object: the sixth platonic element, the icositetrachoron (or 24-cell regular polytope), crystallized as a hyperdiamond network, mathematically and physically made of loops and connections. 2012, Raymond Aschheim, Spin foam with topologically encoded tetrad on trivalent spin networks:

Forms

Synonyms

24-cell

Translations (5)

ru двадцатичетырёхъячейник (four-dimensional object) · pl dwudziestoczterościan czterowymiarowy (four-dimensional object) · fi 24-solu (four-dimensional object) · eo dudekkvarĉelo (four-dimensional object) · ja 正二十四胞体 (four-dimensional object)