"octachoron" meaning in All languages combined

See octachoron on Wiktionary

Noun [English]

Audio: LL-Q1860 (eng)-Flame, not lame-octachoron.wav Forms: octachorons [plural], octachora [plural]
Etymology: From octa- (“eight”) + -choron (“room”), from Ancient Greek ὀκτά- (oktá-, “eight”) and χῶρος (khôros, “room”). Etymology templates: {{confix|en|octa|choron|gloss1=eight|gloss2=room}} octa- (“eight”) + -choron (“room”), {{uder|en|grc|ὀκτά-||eight}} Ancient Greek ὀκτά- (oktá-, “eight”) Head templates: {{en-noun|s|octachora}} octachoron (plural octachorons or octachora)
  1. (mathematics) A four-dimensional object analogous to a cube, constructed out of eight cubes. Wikipedia link: tesseract Categories (topical): Geometry, Higher-dimensional geometry, Mathematics, Shapes Synonyms: 4-cube, 8-cell, hypercube, tesseract Translations (four-dimensional object): okĉelo (Esperanto), ipertetraedro [masculine] (Italian)

Inflected forms

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          "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.",
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        },
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          "ref": "2013, Paul Jennings, Frank Nijhoff, On an elliptic extension of the Kadomtsev-Petviashvili equation, page 4:",
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      "word": "4-cube"
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      "word": "8-cell"
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      "word": "hypercube"
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    {
      "word": "tesseract"
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    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "four-dimensional object",
      "word": "okĉelo"
    },
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      "code": "it",
      "lang": "Italian",
      "sense": "four-dimensional object",
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      "word": "ipertetraedro"
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  "word": "octachoron"
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Download raw JSONL data for octachoron meaning in All languages combined (3.4kB)


This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-28 from the enwiktionary dump dated 2024-11-21 using wiktextract (65a6e81 and 0dbea76). 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.