See icositetrachoron on Wiktionary
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five of these are the higher dimensional analogs of the Platonic solids, and one additional figure, the icositetrachoron, has no three-dimensional equivalent.", "type": "quote" }, { "ref": "2012, Andrzej Katunin, Fractals based on regular convex polytopes, page 56:", "text": "The icositetrachoron (hyperdiamond, octaplex or 24-cell) is the most unique polychoron, because it has no direct analog in any other dimension.", "type": "quote" }, { "ref": "2012, Raymond Aschheim, Spin foam with topologically encoded tetrad on trivalent spin networks:", "text": "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.", "type": "quote" } ], "glosses": [ "A four-dimensional object with no regular three-dimensional analogue, constructed out of twenty-four octahedra." ], "id": "en-icositetrachoron-en-noun-bsAIi2fx", "links": [ [ "mathematics", "mathematics" ], [ "four-dimensional", "four-dimensional" ], [ "octahedra", "octahedron#English" ] ], "raw_glosses": [ "(mathematics) A four-dimensional object with no regular three-dimensional analogue, constructed out of twenty-four octahedra." ], "synonyms": [ { "word": "24-cell" } ], "topics": [ "mathematics", "sciences" ], "translations": [ { "code": "eo", "lang": "Esperanto", "sense": "four-dimensional object", "word": "dudekkvarĉelo" }, { "code": "fi", "lang": "Finnish", "sense": "four-dimensional object", "word": "24-solu" }, { "alt": "せいにじゅうしほうたい", "code": "ja", "lang": "Japanese", "roman": "seinijūshihōtai", "sense": "four-dimensional object", "word": "正二十四胞体" }, { "code": "pl", "lang": "Polish", "note": "not used in Polish", "sense": "four-dimensional object" }, { "code": "ru", "lang": "Russian", "roman": "dvadcatičetyrjóxʺjačejnik", "sense": "four-dimensional object", "word": "двадцатичетырёхъячейник" } ], "wikipedia": [ "24-cell" ] } ], "sounds": [ { "ipa": "/aɪkoʊsɪtɛtɹəˈkoʊɹɔn/" }, { "audio": "LL-Q1860 (eng)-Flame, not lame-icositetrachoron.wav", "mp3_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/06/LL-Q1860_%28eng%29-Flame%2C_not_lame-icositetrachoron.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-icositetrachoron.wav.mp3", "ogg_url": "https://upload.wikimedia.org/wikipedia/commons/transcoded/0/06/LL-Q1860_%28eng%29-Flame%2C_not_lame-icositetrachoron.wav/LL-Q1860_%28eng%29-Flame%2C_not_lame-icositetrachoron.wav.ogg" } ], "word": "icositetrachoron" }
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