"120-cell" meaning in All languages combined

See 120-cell on Wiktionary

Noun [English]

Forms: 120-cells [plural]
Head templates: {{en-noun|head=120-cell}} 120-cell (plural 120-cells)
  1. (geometry) A four-dimensional polytope, analogous to a dodecahedron, whose 120 bounding facets are dodecahedra. Wikipedia link: 120-cell Categories (topical): Geometry, Higher-dimensional geometry, Mathematics, Shapes Synonyms (four-dimensional polytope): dodecacontachoron, dodecaplex, hecatonicosachoron, hecatonicosahedroid, hyperdodecahedron, polydodecahedron Derived forms: Davis 120-cell (4-dimensional manifold in hyperbolic geometry constructed from a hyperbolic 120-cell), grand 120-cell, grand stellated 120-cell, great 120-cell, great stellated 120-cell, great grand 120-cell, great grand stellated 120-cell, small stellated 120-cell Translations (four-dimensional polytope): centdudekĉelo (Esperanto), 120-celle [masculine] (Italian), iperdodecaedro [masculine] (Italian), 正百二十胞体 (seihyakunijūhōtai) (alt: せいひゃくにじゅうほうたい) (Japanese)

Inflected forms

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        {
          "word": "Davis 120-cell (4-dimensional manifold in hyperbolic geometry constructed from a hyperbolic 120-cell)"
        },
        {
          "word": "grand 120-cell"
        },
        {
          "word": "grand stellated 120-cell"
        },
        {
          "word": "great 120-cell"
        },
        {
          "word": "great stellated 120-cell"
        },
        {
          "word": "great grand 120-cell"
        },
        {
          "word": "great grand stellated 120-cell"
        },
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          "word": "small stellated 120-cell"
        }
      ],
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          "ref": "1964, Canadian Mathematical Bulletin, page 394:",
          "text": "The triacontagonal projection of the 120-cell was first drawn by W. A. Wythoff, but not in reproducible form.",
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        },
        {
          "ref": "1987, Jeffrey Hurst Butler, Hyperplane sections of regular star polytopes, page 28:",
          "text": "In dimension four there are ten star polytopes which together with the 120-cell and 600-cell form the family of pentagonal polytopes (those regular 4-polytopes possessing axes of fivefold symmetry); all twelve have the same symmetry group.",
          "type": "quote"
        },
        {
          "ref": "2006, John G. Radcliffe, “The Geometry of Hyperbolic Manifolds of Dimension a least 4”, in András Prékopa, Emil Molnár, editors, Non-Euclidean Geometries: János Bolyai Memorial Volume, page 270:",
          "text": "In 1985, M. Davis [3] gave the first explicit geometric construction of a closed hyperbolic 4-manifold by gluing together the opposite sides of a regular hyperbolic 120-cell P with dihedral angle 72°.",
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      ],
      "glosses": [
        "A four-dimensional polytope, analogous to a dodecahedron, whose 120 bounding facets are dodecahedra."
      ],
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      "raw_glosses": [
        "(geometry) A four-dimensional polytope, analogous to a dodecahedron, whose 120 bounding facets are dodecahedra."
      ],
      "synonyms": [
        {
          "sense": "four-dimensional polytope",
          "word": "dodecacontachoron"
        },
        {
          "sense": "four-dimensional polytope",
          "word": "dodecaplex"
        },
        {
          "sense": "four-dimensional polytope",
          "word": "hecatonicosachoron"
        },
        {
          "sense": "four-dimensional polytope",
          "word": "hecatonicosahedroid"
        },
        {
          "sense": "four-dimensional polytope",
          "word": "hyperdodecahedron"
        },
        {
          "sense": "four-dimensional polytope",
          "word": "polydodecahedron"
        }
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      "translations": [
        {
          "code": "eo",
          "lang": "Esperanto",
          "sense": "four-dimensional polytope",
          "word": "centdudekĉelo"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "four-dimensional polytope",
          "tags": [
            "masculine"
          ],
          "word": "120-celle"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "four-dimensional polytope",
          "tags": [
            "masculine"
          ],
          "word": "iperdodecaedro"
        },
        {
          "alt": "せいひゃくにじゅうほうたい",
          "code": "ja",
          "lang": "Japanese",
          "roman": "seihyakunijūhōtai",
          "sense": "four-dimensional polytope",
          "word": "正百二十胞体"
        }
      ],
      "wikipedia": [
        "120-cell"
      ]
    }
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  "word": "120-cell"
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      "word": "Davis 120-cell (4-dimensional manifold in hyperbolic geometry constructed from a hyperbolic 120-cell)"
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    {
      "word": "grand 120-cell"
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    {
      "word": "grand stellated 120-cell"
    },
    {
      "word": "great 120-cell"
    },
    {
      "word": "great stellated 120-cell"
    },
    {
      "word": "great grand 120-cell"
    },
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      "word": "great grand stellated 120-cell"
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      "word": "small stellated 120-cell"
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          "ref": "1987, Jeffrey Hurst Butler, Hyperplane sections of regular star polytopes, page 28:",
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      "sense": "four-dimensional polytope",
      "word": "dodecacontachoron"
    },
    {
      "sense": "four-dimensional polytope",
      "word": "dodecaplex"
    },
    {
      "sense": "four-dimensional polytope",
      "word": "hecatonicosachoron"
    },
    {
      "sense": "four-dimensional polytope",
      "word": "hecatonicosahedroid"
    },
    {
      "sense": "four-dimensional polytope",
      "word": "hyperdodecahedron"
    },
    {
      "sense": "four-dimensional polytope",
      "word": "polydodecahedron"
    }
  ],
  "translations": [
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "four-dimensional polytope",
      "word": "centdudekĉelo"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "four-dimensional polytope",
      "tags": [
        "masculine"
      ],
      "word": "120-celle"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "four-dimensional polytope",
      "tags": [
        "masculine"
      ],
      "word": "iperdodecaedro"
    },
    {
      "alt": "せいひゃくにじゅうほうたい",
      "code": "ja",
      "lang": "Japanese",
      "roman": "seihyakunijūhōtai",
      "sense": "four-dimensional polytope",
      "word": "正百二十胞体"
    }
  ],
  "word": "120-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 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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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