"octachoron" meaning in English

See octachoron in All languages combined, or Wiktionary

Noun

Forms: octachorons [plural], octachora [plural]
Etymology: octa- (“eight”) + -choron (“room”), from Ancient Greek ὀκτά- (oktá-, “eight”) and χώρος (khṓros, “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”), {{m|grc|χώρος||room}} χώρος (khṓros, “room”) 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

Download JSON data for octachoron meaning in English (4.0kB)

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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].",
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          "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": "quotation"
        },
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          "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.",
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      "code": "eo",
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      "word": "ipertetraedro"
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  "word": "octachoron"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-05-18 from the enwiktionary dump dated 2024-05-02 using wiktextract (1d5a7d1 and 304864d). 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.