"parallelotope" meaning in All languages combined

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "parallelogram",
        "3": "polytope"
      },
      "expansion": "Blend of parallelogram + polytope",
      "name": "blend"
    }
  ],
  "etymology_text": "Blend of parallelogram + polytope. Popularized by Canadian geometer H.S.M. Coxeter.",
  "forms": [
    {
      "form": "parallelotopes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "parallelotope (plural parallelotopes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English blends",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "1983 [North Holland/Elsevier], Robert S. Borden, A Course in Advanced Calculus, 1998, Dover, page 83,\nSuppose now that P is a k-dimensional parallelotope, 1<k<n, in Eⁿ."
        },
        {
          "text": "1997, Daniel A. Klain, Gian-Carlo Rota, Introduction to Geometric Probability, Cambridge University Press, Accademia Nazionale dei Lincei, page 30,\nWe develop next a theory of invariant valuations for the lattice of finite unions of orthogonal parallelotopes, having edgers parallel to a fixed frame. […] This follows from the basic fact that the intersection of two parallelotopes is a parallelotope."
        },
        {
          "ref": "2015, Abraham Albert Ungar, Analytic Hyperbolic Geometry in N Dimensions, Taylor & Francis (CRC Press), page 187",
          "text": "It has 2ᵏ gyrovertices, k#x2B;1 of which are the gyropoints of S, and k 2#x7B;k-1#x7D; gyroedges, in full analogy with parallelotopes.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A generalization of parallelogram and parallelepiped into a figure of arbitrary dimensionality."
      ],
      "id": "en-parallelotope-en-noun-Ju4QWyc2",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "parallelogram",
          "parallelogram"
        ],
        [
          "parallelepiped",
          "parallelepiped"
        ],
        [
          "dimensionality",
          "dimensionality"
        ]
      ],
      "raw_glosses": [
        "(geometry) A generalization of parallelogram and parallelepiped into a figure of arbitrary dimensionality."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "fr",
          "lang": "French",
          "sense": "generalization of parallelogram and parallelepiped",
          "tags": [
            "masculine"
          ],
          "word": "parallélotope"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "generalization of parallelogram and parallelepiped",
          "tags": [
            "neuter"
          ],
          "word": "Parallelotop"
        }
      ],
      "wikipedia": [
        "Harold Scott MacDonald Coxeter",
        "parallelotope"
      ]
    }
  ],
  "word": "parallelotope"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "parallelogram",
        "3": "polytope"
      },
      "expansion": "Blend of parallelogram + polytope",
      "name": "blend"
    }
  ],
  "etymology_text": "Blend of parallelogram + polytope. Popularized by Canadian geometer H.S.M. Coxeter.",
  "forms": [
    {
      "form": "parallelotopes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "parallelotope (plural parallelotopes)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English blends",
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms with quotations",
        "en:Geometry"
      ],
      "examples": [
        {
          "text": "1983 [North Holland/Elsevier], Robert S. Borden, A Course in Advanced Calculus, 1998, Dover, page 83,\nSuppose now that P is a k-dimensional parallelotope, 1<k<n, in Eⁿ."
        },
        {
          "text": "1997, Daniel A. Klain, Gian-Carlo Rota, Introduction to Geometric Probability, Cambridge University Press, Accademia Nazionale dei Lincei, page 30,\nWe develop next a theory of invariant valuations for the lattice of finite unions of orthogonal parallelotopes, having edgers parallel to a fixed frame. […] This follows from the basic fact that the intersection of two parallelotopes is a parallelotope."
        },
        {
          "ref": "2015, Abraham Albert Ungar, Analytic Hyperbolic Geometry in N Dimensions, Taylor & Francis (CRC Press), page 187",
          "text": "It has 2ᵏ gyrovertices, k#x2B;1 of which are the gyropoints of S, and k 2#x7B;k-1#x7D; gyroedges, in full analogy with parallelotopes.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A generalization of parallelogram and parallelepiped into a figure of arbitrary dimensionality."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "parallelogram",
          "parallelogram"
        ],
        [
          "parallelepiped",
          "parallelepiped"
        ],
        [
          "dimensionality",
          "dimensionality"
        ]
      ],
      "raw_glosses": [
        "(geometry) A generalization of parallelogram and parallelepiped into a figure of arbitrary dimensionality."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Harold Scott MacDonald Coxeter",
        "parallelotope"
      ]
    }
  ],
  "translations": [
    {
      "code": "fr",
      "lang": "French",
      "sense": "generalization of parallelogram and parallelepiped",
      "tags": [
        "masculine"
      ],
      "word": "parallélotope"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "generalization of parallelogram and parallelepiped",
      "tags": [
        "neuter"
      ],
      "word": "Parallelotop"
    }
  ],
  "word": "parallelotope"
}