"nestohedron" meaning in All languages combined

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "nest",
        "3": "-o-",
        "4": "-hedron"
      },
      "expansion": "nest + -o- + -hedron",
      "name": "af"
    }
  ],
  "etymology_text": "From nest + -o- + -hedron.",
  "forms": [
    {
      "form": "nestohedra",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "nestohedra"
      },
      "expansion": "nestohedron (plural nestohedra)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms interfixed with -o-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms suffixed with -hedron",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "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"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Polyhedra",
          "orig": "en:Polyhedra",
          "parents": [
            "Shapes",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "For a building set B, the Minkowski sum of the simplices Δ_S as S ranges over B. (Here Δ_S is the standard simplex of S, i.e., the convex hull of the (nonzero endpoints of the) standard unit vectors eᵢ for i in S.) Every nestohedron is a generalized permutahedron."
      ],
      "id": "en-nestohedron-en-noun-RXbhcKJ8",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "building set",
          "building set"
        ],
        [
          "Minkowski sum",
          "Minkowski sum"
        ],
        [
          "simplex",
          "simplex#English"
        ],
        [
          "generalized permutahedron",
          "generalized permutahedron"
        ]
      ],
      "raw_glosses": [
        "(geometry) For a building set B, the Minkowski sum of the simplices Δ_S as S ranges over B. (Here Δ_S is the standard simplex of S, i.e., the convex hull of the (nonzero endpoints of the) standard unit vectors eᵢ for i in S.) Every nestohedron is a generalized permutahedron."
      ],
      "related": [
        {
          "word": "permutahedron"
        },
        {
          "word": "polytope"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "nestohedron"
}

{
  "etymology_templates": [
    {
      "args": {
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        "2": "nest",
        "3": "-o-",
        "4": "-hedron"
      },
      "expansion": "nest + -o- + -hedron",
      "name": "af"
    }
  ],
  "etymology_text": "From nest + -o- + -hedron.",
  "forms": [
    {
      "form": "nestohedra",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {
        "1": "nestohedra"
      },
      "expansion": "nestohedron (plural nestohedra)",
      "name": "en-noun"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "permutahedron"
    },
    {
      "word": "polytope"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English nouns with irregular plurals",
        "English terms interfixed with -o-",
        "English terms suffixed with -hedron",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Geometry",
        "en:Polyhedra"
      ],
      "glosses": [
        "For a building set B, the Minkowski sum of the simplices Δ_S as S ranges over B. (Here Δ_S is the standard simplex of S, i.e., the convex hull of the (nonzero endpoints of the) standard unit vectors eᵢ for i in S.) Every nestohedron is a generalized permutahedron."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "building set",
          "building set"
        ],
        [
          "Minkowski sum",
          "Minkowski sum"
        ],
        [
          "simplex",
          "simplex#English"
        ],
        [
          "generalized permutahedron",
          "generalized permutahedron"
        ]
      ],
      "raw_glosses": [
        "(geometry) For a building set B, the Minkowski sum of the simplices Δ_S as S ranges over B. (Here Δ_S is the standard simplex of S, i.e., the convex hull of the (nonzero endpoints of the) standard unit vectors eᵢ for i in S.) Every nestohedron is a generalized permutahedron."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "nestohedron"
}