"monotile" meaning in All languages combined

See monotile on Wiktionary

Noun [English]

Forms: monotiles [plural]
Etymology: From mono- (“one”) + tile. Etymology templates: {{pre|en|mono-|tile|t1=one}} mono- (“one”) + tile Head templates: {{en-noun}} monotile (plural monotiles)
  1. (geometry) A prototile tiling monohedrally; any shape able to completely tile some space on its own (allowing for translation, rotation, and reflection). Categories (topical): Geometry Related terms: monotiling

Inflected forms

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "mono-",
        "3": "tile",
        "t1": "one"
      },
      "expansion": "mono- (“one”) + tile",
      "name": "pre"
    }
  ],
  "etymology_text": "From mono- (“one”) + tile.",
  "forms": [
    {
      "form": "monotiles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "monotile (plural monotiles)",
      "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 entries with topic categories using raw markup",
          "parents": [
            "Entries with topic categories using raw markup",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "English terms prefixed with mono-",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Geometry",
          "orig": "en:Geometry",
          "parents": [
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "langcode": "en",
          "name": "Tesselation",
          "orig": "en:Tesselation",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "1995, Marjorie Senechal, Quasicrystals and Geometry, Cambridge, Cambridgeshire: Cambridge University Press, page 208",
          "text": "In the following section we will describe families of tilings by a curious three-dimensional aperiodic monotile whose matching rule — for some values of its parameter — is weak but not strong.",
          "type": "quotation"
        },
        {
          "ref": "1997, Rudy Rucker, Freeware (Ware Tetralogy; 3), New York, N.Y.: Avon Books, page 69",
          "text": "And I am sorry I never delivered on the four-dimensional Poultry design. It turns out John Horton Conway found four-dimensional and five-dimensional aperiodic monotiles sixty years ago, but it's not too well documented.\nThe story takes place in 2053.",
          "type": "quotation"
        },
        {
          "ref": "2007 March, Joshua E. S. Socolar, “More ways to tile with only one shape polygon”, in The Mathematical Intelligencer, volume 29, number 2, New York, N.Y.: Springer, →DOI, →ISSN, →OCLC, page 33",
          "text": "This naturally led to serious rumination about the possible existence of a single tile, or monotile, that forces non-periodic global structure.",
          "type": "quotation"
        },
        {
          "ref": "2023 April 4, Matthew Cantor, “'The miracle that disrupts order': mathematicians invent new 'einstein' shape”, in The Guardian, London: Guardian News & Media, →ISSN, →OCLC, archived from the original on 2023-04-04",
          "text": "An aperiodic monotile never repeats a formation, no matter how long the pattern.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A prototile tiling monohedrally; any shape able to completely tile some space on its own (allowing for translation, rotation, and reflection)."
      ],
      "id": "en-monotile-en-noun-JTb6vT8n",
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "prototile",
          "prototile#Noun"
        ],
        [
          "monohedrally",
          "monohedrally#Adverb"
        ],
        [
          "shape",
          "shape#Noun"
        ],
        [
          "tile",
          "tile#Verb"
        ],
        [
          "space",
          "space#Noun"
        ],
        [
          "translation",
          "translation#Noun"
        ],
        [
          "rotation",
          "rotation#Noun"
        ],
        [
          "reflection",
          "reflection#Noun"
        ]
      ],
      "raw_glosses": [
        "(geometry) A prototile tiling monohedrally; any shape able to completely tile some space on its own (allowing for translation, rotation, and reflection)."
      ],
      "related": [
        {
          "word": "monotiling"
        }
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "monotile"
}
{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "mono-",
        "3": "tile",
        "t1": "one"
      },
      "expansion": "mono- (“one”) + tile",
      "name": "pre"
    }
  ],
  "etymology_text": "From mono- (“one”) + tile.",
  "forms": [
    {
      "form": "monotiles",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "monotile (plural monotiles)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "monotiling"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English entries with topic categories using raw markup",
        "English lemmas",
        "English nouns",
        "English terms prefixed with mono-",
        "English terms with quotations",
        "Pages with 1 entry",
        "en:Geometry",
        "en:Tesselation"
      ],
      "examples": [
        {
          "ref": "1995, Marjorie Senechal, Quasicrystals and Geometry, Cambridge, Cambridgeshire: Cambridge University Press, page 208",
          "text": "In the following section we will describe families of tilings by a curious three-dimensional aperiodic monotile whose matching rule — for some values of its parameter — is weak but not strong.",
          "type": "quotation"
        },
        {
          "ref": "1997, Rudy Rucker, Freeware (Ware Tetralogy; 3), New York, N.Y.: Avon Books, page 69",
          "text": "And I am sorry I never delivered on the four-dimensional Poultry design. It turns out John Horton Conway found four-dimensional and five-dimensional aperiodic monotiles sixty years ago, but it's not too well documented.\nThe story takes place in 2053.",
          "type": "quotation"
        },
        {
          "ref": "2007 March, Joshua E. S. Socolar, “More ways to tile with only one shape polygon”, in The Mathematical Intelligencer, volume 29, number 2, New York, N.Y.: Springer, →DOI, →ISSN, →OCLC, page 33",
          "text": "This naturally led to serious rumination about the possible existence of a single tile, or monotile, that forces non-periodic global structure.",
          "type": "quotation"
        },
        {
          "ref": "2023 April 4, Matthew Cantor, “'The miracle that disrupts order': mathematicians invent new 'einstein' shape”, in The Guardian, London: Guardian News & Media, →ISSN, →OCLC, archived from the original on 2023-04-04",
          "text": "An aperiodic monotile never repeats a formation, no matter how long the pattern.",
          "type": "quotation"
        }
      ],
      "glosses": [
        "A prototile tiling monohedrally; any shape able to completely tile some space on its own (allowing for translation, rotation, and reflection)."
      ],
      "links": [
        [
          "geometry",
          "geometry"
        ],
        [
          "prototile",
          "prototile#Noun"
        ],
        [
          "monohedrally",
          "monohedrally#Adverb"
        ],
        [
          "shape",
          "shape#Noun"
        ],
        [
          "tile",
          "tile#Verb"
        ],
        [
          "space",
          "space#Noun"
        ],
        [
          "translation",
          "translation#Noun"
        ],
        [
          "rotation",
          "rotation#Noun"
        ],
        [
          "reflection",
          "reflection#Noun"
        ]
      ],
      "raw_glosses": [
        "(geometry) A prototile tiling monohedrally; any shape able to completely tile some space on its own (allowing for translation, rotation, and reflection)."
      ],
      "topics": [
        "geometry",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "monotile"
}

Download raw JSONL data for monotile meaning in All languages combined (2.9kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-09-01 from the enwiktionary dump dated 2024-08-20 using wiktextract (8e41825 and f99c758). 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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