"polygonness" meaning in English

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "polygon",
        "3": "ness"
      },
      "expansion": "polygon + -ness",
      "name": "suffix"
    }
  ],
  "etymology_text": "From polygon + -ness.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "polygonness (uncountable)",
      "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 suffixed with -ness",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "1990, Rudolf Haller, Johannes Brandl, Wittgenstein—eine Neubewertung, →ISBN:",
          "text": "Imagine that humans have failed to grasp the nature of Polygonness and that without realizing it, our conception of the Form is constantly changing and is always mistaken.",
          "type": "quote"
        },
        {
          "ref": "1992, Christopher Ives, Zen Awakening and Society, →ISBN, page 38:",
          "text": "However many times we may add sides to a polygon, it never becomes a circle; to become a circle, the polygon must undergo an absolute negation (of its polygonness).",
          "type": "quote"
        },
        {
          "ref": "2001, Gregory Browne, Necessary Factual Truth, →ISBN, page 11:",
          "text": "For example, quadrilateralness can be analyzed into the attributes polygonness (ie, being a polygon) and four-sidedness.",
          "type": "quote"
        }
      ],
      "glosses": [
        "The state of being a polygon."
      ],
      "id": "en-polygonness-en-noun-jHNJBxkW",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "polygon",
          "polygon"
        ]
      ],
      "raw_glosses": [
        "(mathematics, rare) The state of being a polygon."
      ],
      "synonyms": [
        {
          "word": "polygonality"
        },
        {
          "word": "polygonhood"
        }
      ],
      "tags": [
        "rare",
        "uncountable"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "polygonness"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "polygon",
        "3": "ness"
      },
      "expansion": "polygon + -ness",
      "name": "suffix"
    }
  ],
  "etymology_text": "From polygon + -ness.",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "polygonness (uncountable)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        "English entries with incorrect language header",
        "English lemmas",
        "English nouns",
        "English terms suffixed with -ness",
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        "English terms with rare senses",
        "English uncountable nouns",
        "Pages with 1 entry",
        "en:Mathematics"
      ],
      "examples": [
        {
          "ref": "1990, Rudolf Haller, Johannes Brandl, Wittgenstein—eine Neubewertung, →ISBN:",
          "text": "Imagine that humans have failed to grasp the nature of Polygonness and that without realizing it, our conception of the Form is constantly changing and is always mistaken.",
          "type": "quote"
        },
        {
          "ref": "1992, Christopher Ives, Zen Awakening and Society, →ISBN, page 38:",
          "text": "However many times we may add sides to a polygon, it never becomes a circle; to become a circle, the polygon must undergo an absolute negation (of its polygonness).",
          "type": "quote"
        },
        {
          "ref": "2001, Gregory Browne, Necessary Factual Truth, →ISBN, page 11:",
          "text": "For example, quadrilateralness can be analyzed into the attributes polygonness (ie, being a polygon) and four-sidedness.",
          "type": "quote"
        }
      ],
      "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": "polygonhood"
    }
  ],
  "word": "polygonness"
}