See Keller's conjecture on Wiktionary
{ "etymology_text": "The conjecture was introduced by Ott-Heinrich Keller (1930).", "head_templates": [ { "args": {}, "expansion": "Keller's conjecture", "name": "en-prop" } ], "lang": "English", "lang_code": "en", "pos": "name", "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": "Geometry", "orig": "en:Geometry", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "The conjecture that, in any tiling of n-dimensional Euclidean space by identical hypercubes, there are two hypercubes that share an entire (n − 1)-dimensional face with each other." ], "id": "en-Keller's_conjecture-en-name-b6Z-6XBI", "links": [ [ "geometry", "geometry" ], [ "tiling", "tiling" ], [ "Euclidean space", "Euclidean space" ], [ "identical", "identical" ], [ "hypercube", "hypercube" ], [ "face", "face" ] ], "raw_glosses": [ "(geometry) The conjecture that, in any tiling of n-dimensional Euclidean space by identical hypercubes, there are two hypercubes that share an entire (n − 1)-dimensional face with each other." ], "related": [ { "word": "Keller graph" } ], "topics": [ "geometry", "mathematics", "sciences" ] } ], "word": "Keller's conjecture" }
{ "etymology_text": "The conjecture was introduced by Ott-Heinrich Keller (1930).", "head_templates": [ { "args": {}, "expansion": "Keller's conjecture", "name": "en-prop" } ], "lang": "English", "lang_code": "en", "pos": "name", "related": [ { "word": "Keller graph" } ], "senses": [ { "categories": [ "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English proper nouns", "English uncountable nouns", "Pages with 1 entry", "Pages with entries", "en:Geometry" ], "glosses": [ "The conjecture that, in any tiling of n-dimensional Euclidean space by identical hypercubes, there are two hypercubes that share an entire (n − 1)-dimensional face with each other." ], "links": [ [ "geometry", "geometry" ], [ "tiling", "tiling" ], [ "Euclidean space", "Euclidean space" ], [ "identical", "identical" ], [ "hypercube", "hypercube" ], [ "face", "face" ] ], "raw_glosses": [ "(geometry) The conjecture that, in any tiling of n-dimensional Euclidean space by identical hypercubes, there are two hypercubes that share an entire (n − 1)-dimensional face with each other." ], "topics": [ "geometry", "mathematics", "sciences" ] } ], "word": "Keller's conjecture" }
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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 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). 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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