"space-filling curve" meaning in All languages combined

See space-filling curve on Wiktionary

Noun [English]

Forms: space-filling curves [plural]
Head templates: {{en-noun}} space-filling curve (plural space-filling curves)
  1. (mathematical analysis) a curve whose range contains the entire 2-dimensional unit square (or the 3-dimensional unit cube) Wikipedia link: Gosper curve, space-filling curve Categories (topical): Curves, Mathematical analysis Related terms: Peano curve
    Sense id: en-space-filling_curve-en-noun-VW-SAg9O Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries, Fractals, Infinity Topics: mathematical-analysis, mathematics, sciences

Inflected forms

Alternative forms

{
  "forms": [
    {
      "form": "space-filling curves",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "space-filling curve (plural space-filling curves)",
      "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": "Curves",
          "orig": "en:Curves",
          "parents": [
            "Shapes",
            "Geometry",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Fractals",
          "orig": "en:Fractals",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Infinity",
          "orig": "en:Infinity",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematical analysis",
          "orig": "en:Mathematical analysis",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "From space-filling curves it can be deduced that ℝ² and ℝ³ have the same cardinality as ℝ."
        }
      ],
      "glosses": [
        "a curve whose range contains the entire 2-dimensional unit square (or the 3-dimensional unit cube)"
      ],
      "id": "en-space-filling_curve-en-noun-VW-SAg9O",
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "curve",
          "curve"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) a curve whose range contains the entire 2-dimensional unit square (or the 3-dimensional unit cube)"
      ],
      "related": [
        {
          "word": "Peano curve"
        }
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Gosper curve",
        "space-filling curve"
      ]
    }
  ],
  "word": "space-filling curve"
}
{
  "forms": [
    {
      "form": "space-filling curves",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "space-filling curve (plural space-filling curves)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "Peano curve"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Pages with 1 entry",
        "Pages with entries",
        "en:Curves",
        "en:Fractals",
        "en:Infinity",
        "en:Mathematical analysis"
      ],
      "examples": [
        {
          "text": "From space-filling curves it can be deduced that ℝ² and ℝ³ have the same cardinality as ℝ."
        }
      ],
      "glosses": [
        "a curve whose range contains the entire 2-dimensional unit square (or the 3-dimensional unit cube)"
      ],
      "links": [
        [
          "mathematical analysis",
          "mathematical analysis"
        ],
        [
          "curve",
          "curve"
        ]
      ],
      "raw_glosses": [
        "(mathematical analysis) a curve whose range contains the entire 2-dimensional unit square (or the 3-dimensional unit cube)"
      ],
      "topics": [
        "mathematical-analysis",
        "mathematics",
        "sciences"
      ],
      "wikipedia": [
        "Gosper curve",
        "space-filling curve"
      ]
    }
  ],
  "word": "space-filling curve"
}

Download raw JSONL data for space-filling curve meaning in All languages combined (1.1kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-01-06 from the enwiktionary dump dated 2025-01-01 using wiktextract (f889f65 and 8fbd9e8). 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.