"8-cell" meaning in All languages combined

See 8-cell on Wiktionary

Noun [English]

IPA: /ˈeɪtˌsɛl/ Forms: 8-cells [plural]
Etymology: From 8 + cell. Etymology templates: {{compound|en|8|cell}} 8 + cell Head templates: {{en-noun}} 8-cell (plural 8-cells)
  1. (geometry) A four-dimensional polytope, analogous to a cube, whose eight bounding facets are cubes; a tesseract. Wikipedia link: Tesseract Categories (topical): Geometry, Higher-dimensional geometry, Mathematics, Shapes Synonyms (4-dimensional polytope analogous to a cube): 4-cube, hypercube (english: or 4-dimensional hypercube), cubic prism, octachoron, octahedroid, tesseract Hypernyms (polytope analogous to a cube): hypercube Translations (four-dimensional polytope): okĉelo (Esperanto), ipertetraedro [masculine] (Italian), tesseratto [masculine] (Italian), ipercubo quadridimensionale [masculine] (Italian), 正八胞体 (seihachihōtai) (alt: せいはちほうたい) (Japanese)

Inflected forms

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  "etymology_text": "From 8 + cell.",
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          "ref": "1988, Klaus Mainzer, Symmetries of Nature: A Handbook for Philosophy of Nature and Science, published 1996, page 159:",
          "text": "According to this table the tetrahedron corresponds to the 5-cell, the cube to the 8-cell (\"hypercube\"), the octahedron to the 16-cell, the dodecahedron to the 120-cell and the icosahedron to the 600-cell. The 24-cell is an additional body in four-dimensional space which is dual to itself.",
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          "ref": "1996, John Milnor, “Growing Up in the Old Fine Hall”, in Hugo Rossi, editor, Prospects in Mathematics: Invited Talks on the Occasion of the 250th Anniversary of Princeton University, page 6:",
          "text": "Similarly in dimension eight there is the quaternionic projective plane which we can think of as a 4-sphere with an 8-cell attached, and in dimension sixteen there is a Cayley projective plane which has similar properties.",
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        },
        {
          "ref": "1997, J. François Gabriel, editor, Beyond the Cube: The Architecture of Space Frames and Polyhedra, page 412:",
          "text": "Of these nine, five are finite structures in Euclidean space and include the simplex, {3,3,3} (or 5-cell), the four-dimensional cube {4,3,3} (or 8-cell) and its dual {3,3,4} (or 16-cell), and the 120-cell {5,3,3} and its dual {3,3,5} (or 600-cell).",
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        "A four-dimensional polytope, analogous to a cube, whose eight bounding facets are cubes; a tesseract."
      ],
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        {
          "sense": "polytope analogous to a cube",
          "word": "hypercube"
        }
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      "id": "en-8-cell-en-noun-WOfGo5gJ",
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        [
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        [
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          "facet",
          "facet"
        ],
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          "tesseract",
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        "(geometry) A four-dimensional polytope, analogous to a cube, whose eight bounding facets are cubes; a tesseract."
      ],
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          "sense": "4-dimensional polytope analogous to a cube",
          "word": "4-cube"
        },
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          "english": "or 4-dimensional hypercube",
          "sense": "4-dimensional polytope analogous to a cube",
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        },
        {
          "sense": "4-dimensional polytope analogous to a cube",
          "word": "cubic prism"
        },
        {
          "sense": "4-dimensional polytope analogous to a cube",
          "word": "octachoron"
        },
        {
          "sense": "4-dimensional polytope analogous to a cube",
          "word": "octahedroid"
        },
        {
          "sense": "4-dimensional polytope analogous to a cube",
          "word": "tesseract"
        }
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          "code": "eo",
          "lang": "Esperanto",
          "sense": "four-dimensional polytope",
          "word": "okĉelo"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "four-dimensional polytope",
          "tags": [
            "masculine"
          ],
          "word": "ipertetraedro"
        },
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          "code": "it",
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          "sense": "four-dimensional polytope",
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          ],
          "word": "tesseratto"
        },
        {
          "code": "it",
          "lang": "Italian",
          "sense": "four-dimensional polytope",
          "tags": [
            "masculine"
          ],
          "word": "ipercubo quadridimensionale"
        },
        {
          "alt": "せいはちほうたい",
          "code": "ja",
          "lang": "Japanese",
          "roman": "seihachihōtai",
          "sense": "four-dimensional polytope",
          "word": "正八胞体"
        }
      ],
      "wikipedia": [
        "Tesseract"
      ]
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  "sounds": [
    {
      "ipa": "/ˈeɪtˌsɛl/"
    }
  ],
  "word": "8-cell"
}
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  "etymology_text": "From 8 + cell.",
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      "sense": "4-dimensional polytope analogous to a cube",
      "word": "4-cube"
    },
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      "english": "or 4-dimensional hypercube",
      "sense": "4-dimensional polytope analogous to a cube",
      "word": "hypercube"
    },
    {
      "sense": "4-dimensional polytope analogous to a cube",
      "word": "cubic prism"
    },
    {
      "sense": "4-dimensional polytope analogous to a cube",
      "word": "octachoron"
    },
    {
      "sense": "4-dimensional polytope analogous to a cube",
      "word": "octahedroid"
    },
    {
      "sense": "4-dimensional polytope analogous to a cube",
      "word": "tesseract"
    }
  ],
  "translations": [
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "four-dimensional polytope",
      "word": "okĉelo"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "four-dimensional polytope",
      "tags": [
        "masculine"
      ],
      "word": "ipertetraedro"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "four-dimensional polytope",
      "tags": [
        "masculine"
      ],
      "word": "tesseratto"
    },
    {
      "code": "it",
      "lang": "Italian",
      "sense": "four-dimensional polytope",
      "tags": [
        "masculine"
      ],
      "word": "ipercubo quadridimensionale"
    },
    {
      "alt": "せいはちほうたい",
      "code": "ja",
      "lang": "Japanese",
      "roman": "seihachihōtai",
      "sense": "four-dimensional polytope",
      "word": "正八胞体"
    }
  ],
  "word": "8-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 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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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