See nestohedron in All languages combined, or Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "nest", "3": "-o-", "4": "-hedron" }, "expansion": "nest + -o- + -hedron", "name": "af" } ], "etymology_text": "From nest + -o- + -hedron.", "forms": [ { "form": "nestohedra", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "nestohedra" }, "expansion": "nestohedron (plural nestohedra)", "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 terms interfixed with -o-", "parents": [], "source": "w" }, { "kind": "other", "name": "English terms suffixed with -hedron", "parents": [], "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" }, { "kind": "topical", "langcode": "en", "name": "Polyhedra", "orig": "en:Polyhedra", "parents": [ "Shapes", "Geometry", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "For a building set B, the Minkowski sum of the simplices Δ_S as S ranges over B. (Here Δ_S is the standard simplex of S, i.e., the convex hull of the (nonzero endpoints of the) standard unit vectors eᵢ for i in S.) Every nestohedron is a generalized permutahedron." ], "id": "en-nestohedron-en-noun-RXbhcKJ8", "links": [ [ "geometry", "geometry" ], [ "building set", "building set" ], [ "Minkowski sum", "Minkowski sum" ], [ "simplex", "simplex#English" ], [ "generalized permutahedron", "generalized permutahedron" ] ], "raw_glosses": [ "(geometry) For a building set B, the Minkowski sum of the simplices Δ_S as S ranges over B. (Here Δ_S is the standard simplex of S, i.e., the convex hull of the (nonzero endpoints of the) standard unit vectors eᵢ for i in S.) Every nestohedron is a generalized permutahedron." ], "related": [ { "word": "permutahedron" }, { "word": "polytope" } ], "topics": [ "geometry", "mathematics", "sciences" ] } ], "word": "nestohedron" }
{ "etymology_templates": [ { "args": { "1": "en", "2": "nest", "3": "-o-", "4": "-hedron" }, "expansion": "nest + -o- + -hedron", "name": "af" } ], "etymology_text": "From nest + -o- + -hedron.", "forms": [ { "form": "nestohedra", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "nestohedra" }, "expansion": "nestohedron (plural nestohedra)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "related": [ { "word": "permutahedron" }, { "word": "polytope" } ], "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English lemmas", "English nouns", "English nouns with irregular plurals", "English terms interfixed with -o-", "English terms suffixed with -hedron", "Pages with 1 entry", "Pages with entries", "en:Geometry", "en:Polyhedra" ], "glosses": [ "For a building set B, the Minkowski sum of the simplices Δ_S as S ranges over B. (Here Δ_S is the standard simplex of S, i.e., the convex hull of the (nonzero endpoints of the) standard unit vectors eᵢ for i in S.) Every nestohedron is a generalized permutahedron." ], "links": [ [ "geometry", "geometry" ], [ "building set", "building set" ], [ "Minkowski sum", "Minkowski sum" ], [ "simplex", "simplex#English" ], [ "generalized permutahedron", "generalized permutahedron" ] ], "raw_glosses": [ "(geometry) For a building set B, the Minkowski sum of the simplices Δ_S as S ranges over B. (Here Δ_S is the standard simplex of S, i.e., the convex hull of the (nonzero endpoints of the) standard unit vectors eᵢ for i in S.) Every nestohedron is a generalized permutahedron." ], "topics": [ "geometry", "mathematics", "sciences" ] } ], "word": "nestohedron" }
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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 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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