"600-cell" meaning in All languages combined

See 600-cell on Wiktionary

Noun [English]

Forms: 600-cells [plural]
Head templates: {{en-noun|head=600-cell}} 600-cell (plural 600-cells)
  1. (geometry) A four-dimensional polytope, analogous to an icosahedron, whose 600 bounding facets are tetrahedra. Wikipedia link: 600-cell Categories (topical): Geometry, Higher-dimensional geometry, Mathematics, Shapes Synonyms (4-dimensional polytope): hexacosichoron, hexacosidedroid Hypernyms (4-dimensional polytope): tetraplex, polytetrahedron Derived forms: grand 600-cell Translations (four-dimensional polytope): sescentĉelo (Esperanto), 600-cella [feminine] (Italian), tetraplesso [masculine] (Italian), esacosicoro [masculine] (Italian), 正六百胞体 (seiroppyakuhōtai) (alt: せいろっぴゃくほうたい) (Japanese), 정육백포체 (jeong'yukbaekpoche) (alt: 正六百胞體) (Korean), hexacosicoron [masculine] (Spanish)

Inflected forms

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  "lang_code": "en",
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          "word": "grand 600-cell"
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        {
          "text": "1995, J. Bokowski, On the Construction of Equifacetted 3-Spheres, Neil L. White, Invariant Methods in Discrete and Computational Geometry: Proceedings of the Curaçao Conference, page 303,\nP. McMullen has pointed out to the author that he has constructed an interesting equifacetted 3-sphere in his Ph.D.Thesis by starting with the 600-cell."
        },
        {
          "ref": "2005, Lawrence B. Crowell, Quantum Fluctuations of Spacetime, volume 25, World Scientific Series in Contemporary Chemical Physics, page 329:",
          "text": "The dual to the 120-cell is the 600-cell. The 600-cell is a 4-dimensional convex regular polytope with 600 facets. Its Schläfli symbol of the^([sic]) 600-cell is {3, 3, 5}. It is a 4-dimensional analogue of the icosahedron, constructed by the golden ratio on the edges of an octohedron.",
          "type": "quote"
        },
        {
          "ref": "2012, John Barnes, Gems of Geometry, 2nd edition, page 79:",
          "text": "The other two figures are the 120-cell and 600-cell which form a dual pair as is clear from their Schläfli symbols being the reverse of each other.",
          "type": "quote"
        }
      ],
      "glosses": [
        "A four-dimensional polytope, analogous to an icosahedron, whose 600 bounding facets are tetrahedra."
      ],
      "hypernyms": [
        {
          "sense": "4-dimensional polytope",
          "word": "tetraplex"
        },
        {
          "sense": "4-dimensional polytope",
          "word": "polytetrahedron"
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          "facet",
          "facet"
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          "tetrahedra",
          "tetrahedron"
        ]
      ],
      "raw_glosses": [
        "(geometry) A four-dimensional polytope, analogous to an icosahedron, whose 600 bounding facets are tetrahedra."
      ],
      "synonyms": [
        {
          "sense": "4-dimensional polytope",
          "word": "hexacosichoron"
        },
        {
          "sense": "4-dimensional polytope",
          "word": "hexacosidedroid"
        }
      ],
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        "geometry",
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      "translations": [
        {
          "code": "eo",
          "lang": "Esperanto",
          "sense": "four-dimensional polytope",
          "word": "sescentĉelo"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "four-dimensional polytope",
          "tags": [
            "feminine"
          ],
          "word": "600-cella"
        },
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          "code": "it",
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          "sense": "four-dimensional polytope",
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        },
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          "code": "it",
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          "sense": "four-dimensional polytope",
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          ],
          "word": "esacosicoro"
        },
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          "alt": "せいろっぴゃくほうたい",
          "code": "ja",
          "lang": "Japanese",
          "roman": "seiroppyakuhōtai",
          "sense": "four-dimensional polytope",
          "word": "正六百胞体"
        },
        {
          "alt": "正六百胞體",
          "code": "ko",
          "lang": "Korean",
          "roman": "jeong'yukbaekpoche",
          "sense": "four-dimensional polytope",
          "word": "정육백포체"
        },
        {
          "code": "es",
          "lang": "Spanish",
          "sense": "four-dimensional polytope",
          "tags": [
            "masculine"
          ],
          "word": "hexacosicoron"
        }
      ],
      "wikipedia": [
        "600-cell"
      ]
    }
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  "word": "600-cell"
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        },
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          "ref": "2005, Lawrence B. Crowell, Quantum Fluctuations of Spacetime, volume 25, World Scientific Series in Contemporary Chemical Physics, page 329:",
          "text": "The dual to the 120-cell is the 600-cell. The 600-cell is a 4-dimensional convex regular polytope with 600 facets. Its Schläfli symbol of the^([sic]) 600-cell is {3, 3, 5}. It is a 4-dimensional analogue of the icosahedron, constructed by the golden ratio on the edges of an octohedron.",
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        "A four-dimensional polytope, analogous to an icosahedron, whose 600 bounding facets are tetrahedra."
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      "sense": "4-dimensional polytope",
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      "sense": "4-dimensional polytope",
      "word": "hexacosidedroid"
    }
  ],
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    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "four-dimensional polytope",
      "word": "sescentĉelo"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "four-dimensional polytope",
      "tags": [
        "feminine"
      ],
      "word": "600-cella"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "four-dimensional polytope",
      "tags": [
        "masculine"
      ],
      "word": "tetraplesso"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "four-dimensional polytope",
      "tags": [
        "masculine"
      ],
      "word": "esacosicoro"
    },
    {
      "alt": "せいろっぴゃくほうたい",
      "code": "ja",
      "lang": "Japanese",
      "roman": "seiroppyakuhōtai",
      "sense": "four-dimensional polytope",
      "word": "正六百胞体"
    },
    {
      "alt": "正六百胞體",
      "code": "ko",
      "lang": "Korean",
      "roman": "jeong'yukbaekpoche",
      "sense": "four-dimensional polytope",
      "word": "정육백포체"
    },
    {
      "code": "es",
      "lang": "Spanish",
      "sense": "four-dimensional polytope",
      "tags": [
        "masculine"
      ],
      "word": "hexacosicoron"
    }
  ],
  "word": "600-cell"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-13 from the enwiktionary dump dated 2025-01-01 using wiktextract (4ba5975 and 4ed51a5). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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