"polygonhood" meaning in English

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "polygon",
        "3": "hood"
      },
      "expansion": "polygon + -hood",
      "name": "suffix"
    }
  ],
  "etymology_text": "polygon + -hood",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "polygonhood (uncountable)",
      "name": "en-noun"
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  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
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          "source": "w"
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        {
          "kind": "other",
          "name": "English terms suffixed with -hood",
          "parents": [],
          "source": "w"
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          "parents": [
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
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          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "Richard R. Brockhaus (1991) Pulling up the ladder: the metaphysical roots of Wittgenstein's Tractatus, →ISBN, page 195: “However, the circle lacks an essential property of polygonhood, namely having angles, and thus as a convenient fiction we refer to it as a degenerate case of a polygon.”"
        },
        {
          "text": "W.S. Anglin (1997) The Philosophy of Mathematics: the Invisible Art, →ISBN, page 11: “None the less, for any natural number n > 3, there is a form of n-hood, and a form of n-sided polygon-hood. For example, when n = 4, we have the form of fourness and the form of squareness.”"
        },
        {
          "text": "Stephen Yablo (2008) Thoughts: Papers on mind, meaning and modality, →ISBN, page 267: “To the absolutionist, this can only mean that as n decreases, the property of n-sided regular polygonhood puts stronger and stronger demands on those would seek to know it.”"
        }
      ],
      "glosses": [
        "The state of being a polygon."
      ],
      "id": "en-polygonhood-en-noun-jHNJBxkW",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "polygon",
          "polygon"
        ]
      ],
      "raw_glosses": [
        "(mathematics, rare) The state of being a polygon."
      ],
      "synonyms": [
        {
          "word": "polygonality"
        },
        {
          "word": "polygonness"
        }
      ],
      "tags": [
        "rare",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "polygonhood"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "polygon",
        "3": "hood"
      },
      "expansion": "polygon + -hood",
      "name": "suffix"
    }
  ],
  "etymology_text": "polygon + -hood",
  "head_templates": [
    {
      "args": {
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      },
      "expansion": "polygonhood (uncountable)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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        "Undetermined terms with quotations",
        "en:Mathematics"
      ],
      "examples": [
        {
          "text": "Richard R. Brockhaus (1991) Pulling up the ladder: the metaphysical roots of Wittgenstein's Tractatus, →ISBN, page 195: “However, the circle lacks an essential property of polygonhood, namely having angles, and thus as a convenient fiction we refer to it as a degenerate case of a polygon.”"
        },
        {
          "text": "W.S. Anglin (1997) The Philosophy of Mathematics: the Invisible Art, →ISBN, page 11: “None the less, for any natural number n > 3, there is a form of n-hood, and a form of n-sided polygon-hood. For example, when n = 4, we have the form of fourness and the form of squareness.”"
        },
        {
          "text": "Stephen Yablo (2008) Thoughts: Papers on mind, meaning and modality, →ISBN, page 267: “To the absolutionist, this can only mean that as n decreases, the property of n-sided regular polygonhood puts stronger and stronger demands on those would seek to know it.”"
        }
      ],
      "glosses": [
        "The state of being a polygon."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "polygon",
          "polygon"
        ]
      ],
      "raw_glosses": [
        "(mathematics, rare) The state of being a polygon."
      ],
      "tags": [
        "rare",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "synonyms": [
    {
      "word": "polygonality"
    },
    {
      "word": "polygonness"
    }
  ],
  "word": "polygonhood"
}