See octachoron in All languages combined, or Wiktionary
{ "etymology_templates": [ { "args": { "1": "en", "2": "octa", "3": "choron", "gloss1": "eight", "gloss2": "room" }, "expansion": "octa- (“eight”) + -choron (“room”)", "name": "confix" }, { "args": { "1": "en", "2": "grc", "3": "ὀκτά-", "4": "", "5": "eight" }, "expansion": "Ancient Greek ὀκτά- (oktá-, “eight”)", "name": "uder" } ], "etymology_text": "From octa- (“eight”) + -choron (“room”), from Ancient Greek ὀκτά- (oktá-, “eight”) and χῶρος (khôros, “room”).", "forms": [ { "form": "octachorons", "tags": [ "plural" ] }, { "form": "octachora", "tags": [ "plural" ] } ], "head_templates": [ { "args": { "1": "s", "2": "octachora" }, "expansion": "octachoron (plural octachorons or octachora)", "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 prefixed with octa-", "parents": [], "source": "w" }, { "kind": "other", "name": "English terms suffixed with -choron", "parents": [], "source": "w" }, { "kind": "other", "name": "English undefined derivations", "parents": [ "Undefined derivations", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Entries with translation boxes", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Esperanto translations", "parents": [], "source": "w" }, { "kind": "other", "name": "Terms with Italian translations", "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": "Higher-dimensional geometry", "orig": "en:Higher-dimensional geometry", "parents": [ "Geometry", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Mathematics", "orig": "en:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Shapes", "orig": "en:Shapes", "parents": [ "Geometry", "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "ref": "2012, Yequn Zhang, Murat Arabaci, Ivan B. Djordjevic, Rate-Adaptive Four-Dimensional Nonbinary LDPC-Coded Modulation for Long-Haul Optical Transport Networks, page 3:", "text": "Our 16-point 4D constellation is described by the set {(±1,±1,±1,±1)}, which is indeed the set of vertices of a tesseract (i.e., a regular octachoron) [4].", "type": "quote" }, { "ref": "2013, Milorad Cvijetic, Ivan B. Djordjevic, Advanced Optical Communication Systems and Networks, page 357:", "text": "The Schlegel diagram from this figure is a projection of a regular octachoron from the 4-D space to the 3-D space through a point beyond one of its facets.", "type": "quote" }, { "ref": "2013, Paul Jennings, Frank Nijhoff, On an elliptic extension of the Kadomtsev-Petviashvili equation, page 4:", "text": "...completing the notation for the vertices of an elementary lattice octachoron.", "type": "quote" } ], "glosses": [ "A four-dimensional object analogous to a cube, constructed out of eight cubes." ], "id": "en-octachoron-en-noun-9CHFb0Wl", "links": [ [ "mathematics", "mathematics" ], [ "four-dimensional", "four-dimensional" ], [ "cube", "cube#English" ] ], "raw_glosses": [ "(mathematics) A four-dimensional object analogous to a cube, constructed out of eight cubes." ], "synonyms": [ { "word": "4-cube" }, { "word": "8-cell" }, { "word": "hypercube" }, { "word": "tesseract" } ], "topics": [ "mathematics", "sciences" ], "translations": [ { "code": "eo", "lang": "Esperanto", "sense": "four-dimensional object", "word": "okĉelo" }, { "code": "it", "lang": "Italian", "sense": "four-dimensional object", "tags": [ "masculine" ], "word": "ipertetraedro" } ], "wikipedia": [ "tesseract" ] } ], "word": "octachoron" }
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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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