"orthoplex" meaning in All languages combined

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "orthant",
        "3": "complex"
      },
      "expansion": "Blend of orthant + complex",
      "name": "blend"
    }
  ],
  "etymology_text": "Coined in 1991 by John Horton Conway and Neil Sloane. Blend of orthant + complex, since it has one facet for each orthant.",
  "forms": [
    {
      "form": "orthoplexes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "orthoplex (plural orthoplexes)",
      "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": [
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            "Entry maintenance"
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          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
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            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        }
      ],
      "derived": [
        {
          "word": "4-orthoplex"
        }
      ],
      "examples": [
        {
          "ref": "1990, Mathematica Journal, volumes 1-2, page 84",
          "text": "We made use of another way of considering the 120 cells, starting with the eight at the vertices of an orthoplex, that is, in the cells of a hypercube.",
          "type": "quotation"
        },
        {
          "ref": "1991, J. H. Conway, N. J. A. Sloane, “The Cell Structures of Certain Lattices”, in Peter Hilton, Friedrich Hirzebruch, Reinhold Remmert, editors, Miscellanea Mathematica, page 90",
          "text": "It is remarkable that the four-dimensional orthoplex is the same polytope as the four-dimensional hemicube.",
          "type": "quotation"
        },
        {
          "ref": "2008, John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things, page 412",
          "text": "The combinatorics of this case apply to all members of the Gosset series; in every case, their cells are simplexes and orthoplexes, the latter appearing with only half symmetry.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A convex polytope analogous to an octahedron (3 dimensions) or 16-cell (4 dimensions)."
      ],
      "hyponyms": [
        {
          "sense": "polytope analogous to an octahedron",
          "word": "16-cell"
        },
        {
          "sense": "polytope analogous to an octahedron",
          "word": "4-orthoplex"
        },
        {
          "sense": "polytope analogous to an octahedron",
          "word": "hexadecachoron"
        },
        {
          "sense": "polytope analogous to an octahedron",
          "word": "octahedron"
        }
      ],
      "id": "en-orthoplex-en-noun-Gx30JkkF",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "convex",
          "convex"
        ],
        [
          "polytope",
          "polytope"
        ],
        [
          "octahedron",
          "octahedron"
        ],
        [
          "16-cell",
          "16-cell"
        ]
      ],
      "raw_glosses": [
        "(geometry) A convex polytope analogous to an octahedron (3 dimensions) or 16-cell (4 dimensions)."
      ],
      "related": [
        {
          "word": "simplex"
        },
        {
          "word": "hypercube"
        },
        {
          "word": "Turán graph"
        }
      ],
      "synonyms": [
        {
          "sense": "polytope analogous to an octahedron",
          "word": "cocube"
        },
        {
          "sense": "polytope analogous to an octahedron",
          "word": "cross-polytope"
        },
        {
          "sense": "polytope analogous to an octahedron",
          "word": "hyperoctahedron"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Cross-polytope",
        "John Horton Conway",
        "Neil Sloane"
      ]
    }
  ],
  "word": "orthoplex"
}

{
  "derived": [
    {
      "word": "4-orthoplex"
    }
  ],
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "orthant",
        "3": "complex"
      },
      "expansion": "Blend of orthant + complex",
      "name": "blend"
    }
  ],
  "etymology_text": "Coined in 1991 by John Horton Conway and Neil Sloane. Blend of orthant + complex, since it has one facet for each orthant.",
  "forms": [
    {
      "form": "orthoplexes",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "orthoplex (plural orthoplexes)",
      "name": "en-noun"
    }
  ],
  "hyponyms": [
    {
      "sense": "polytope analogous to an octahedron",
      "word": "16-cell"
    },
    {
      "sense": "polytope analogous to an octahedron",
      "word": "4-orthoplex"
    },
    {
      "sense": "polytope analogous to an octahedron",
      "word": "hexadecachoron"
    },
    {
      "sense": "polytope analogous to an octahedron",
      "word": "octahedron"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "simplex"
    },
    {
      "word": "hypercube"
    },
    {
      "word": "Turán graph"
    }
  ],
  "senses": [
    {
      "categories": [
        "English blends",
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms with quotations",
        "en:Geometry"
      ],
      "examples": [
        {
          "ref": "1990, Mathematica Journal, volumes 1-2, page 84",
          "text": "We made use of another way of considering the 120 cells, starting with the eight at the vertices of an orthoplex, that is, in the cells of a hypercube.",
          "type": "quotation"
        },
        {
          "ref": "1991, J. H. Conway, N. J. A. Sloane, “The Cell Structures of Certain Lattices”, in Peter Hilton, Friedrich Hirzebruch, Reinhold Remmert, editors, Miscellanea Mathematica, page 90",
          "text": "It is remarkable that the four-dimensional orthoplex is the same polytope as the four-dimensional hemicube.",
          "type": "quotation"
        },
        {
          "ref": "2008, John H. Conway, Heidi Burgiel, Chaim Goodman-Strauss, The Symmetries of Things, page 412",
          "text": "The combinatorics of this case apply to all members of the Gosset series; in every case, their cells are simplexes and orthoplexes, the latter appearing with only half symmetry.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A convex polytope analogous to an octahedron (3 dimensions) or 16-cell (4 dimensions)."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "convex",
          "convex"
        ],
        [
          "polytope",
          "polytope"
        ],
        [
          "octahedron",
          "octahedron"
        ],
        [
          "16-cell",
          "16-cell"
        ]
      ],
      "raw_glosses": [
        "(geometry) A convex polytope analogous to an octahedron (3 dimensions) or 16-cell (4 dimensions)."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Cross-polytope",
        "John Horton Conway",
        "Neil Sloane"
      ]
    }
  ],
  "synonyms": [
    {
      "sense": "polytope analogous to an octahedron",
      "word": "cocube"
    },
    {
      "sense": "polytope analogous to an octahedron",
      "word": "cross-polytope"
    },
    {
      "sense": "polytope analogous to an octahedron",
      "word": "hyperoctahedron"
    }
  ],
  "word": "orthoplex"
}