"Menger sponge" meaning in English

See Menger sponge in All languages combined, or Wiktionary

Noun

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. 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"
      ]
    }
  ],
  "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"
      ]
    }
  ],
  "word": "Menger sponge"
}

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This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-01-25 from the enwiktionary dump dated 2025-01-20 using wiktextract (c15a5ce and 5c11237). 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.

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