"Menger sponge" meaning in All languages combined

See Menger sponge on Wiktionary

Noun [English]

Forms: Menger sponges [plural]
Etymology: First described by Karl Menger in 1926. Head templates: {{en-noun}} Menger sponge (plural Menger sponges)
  1. (mathematics) A fractal curve, a three-dimensional generalization of the Cantor set and Sierpinski carpet, formed by repeated subdivision of a cube, and having infinite surface area and zero volume. Wikipedia link: Menger sponge Categories (topical): Mathematics
    Sense id: en-Menger_sponge-en-noun-Yltz~NC7 Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences

Inflected forms

{
  "etymology_text": "First described by Karl Menger in 1926.",
  "forms": [
    {
      "form": "Menger sponges",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Menger sponge (plural Menger sponges)",
      "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": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A fractal curve, a three-dimensional generalization of the Cantor set and Sierpinski carpet, formed by repeated subdivision of a cube, and having infinite surface area and zero volume."
      ],
      "id": "en-Menger_sponge-en-noun-Yltz~NC7",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "fractal",
          "fractal"
        ],
        [
          "curve",
          "curve"
        ],
        [
          "three-dimensional",
          "three-dimensional"
        ],
        [
          "generalization",
          "generalization"
        ],
        [
          "Cantor set",
          "Cantor set"
        ],
        [
          "Sierpinski carpet",
          "Sierpinski carpet"
        ],
        [
          "subdivision",
          "subdivision"
        ],
        [
          "cube",
          "cube"
        ],
        [
          "infinite",
          "infinite"
        ],
        [
          "surface area",
          "surface area"
        ],
        [
          "zero",
          "zero"
        ],
        [
          "volume",
          "volume"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A fractal curve, a three-dimensional generalization of the Cantor set and Sierpinski carpet, formed by repeated subdivision of a cube, and having infinite surface area and zero volume."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Menger sponge"
      ]
    }
  ],
  "word": "Menger sponge"
}
{
  "etymology_text": "First described by Karl Menger in 1926.",
  "forms": [
    {
      "form": "Menger sponges",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "Menger sponge (plural Menger sponges)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English eponyms",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Mathematics"
      ],
      "glosses": [
        "A fractal curve, a three-dimensional generalization of the Cantor set and Sierpinski carpet, formed by repeated subdivision of a cube, and having infinite surface area and zero volume."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "fractal",
          "fractal"
        ],
        [
          "curve",
          "curve"
        ],
        [
          "three-dimensional",
          "three-dimensional"
        ],
        [
          "generalization",
          "generalization"
        ],
        [
          "Cantor set",
          "Cantor set"
        ],
        [
          "Sierpinski carpet",
          "Sierpinski carpet"
        ],
        [
          "subdivision",
          "subdivision"
        ],
        [
          "cube",
          "cube"
        ],
        [
          "infinite",
          "infinite"
        ],
        [
          "surface area",
          "surface area"
        ],
        [
          "zero",
          "zero"
        ],
        [
          "volume",
          "volume"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A fractal curve, a three-dimensional generalization of the Cantor set and Sierpinski carpet, formed by repeated subdivision of a cube, and having infinite surface area and zero volume."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Menger sponge"
      ]
    }
  ],
  "word": "Menger sponge"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-15 from the enwiktionary dump dated 2024-12-04 using wiktextract (8a39820 and 4401a4c). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.