"horosphere" meaning in English

See horosphere in All languages combined, or Wiktionary

Noun

Forms: horospheres [plural]
Etymology: A modern scientific coinage, probably from a Latinized spelling of Ancient Greek ὅρος (hóros, “boundary”) (not to be confused with ὧρος (hôros, “year”), which gave rise to many time-related terms) + sphere Etymology templates: {{uder|en|grc|ὅρος||boundary}} Ancient Greek ὅρος (hóros, “boundary”), {{m|grc|ὧρος||year}} ὧρος (hôros, “year”), {{m|en|sphere}} sphere Head templates: {{en-noun}} horosphere (plural horospheres)
  1. An n-1-dimensional hyperplane in hyperbolic n-dimensional space: it is (in the Poincaré disk) Euclidean-tangent at infinity to the boundary sphere or (in the upper-half-space model) Euclidean-parallel to the boundary hyperplane. Categories (topical): Circle, Curves, Surfaces

Inflected forms

Download JSON data for horosphere meaning in English (2.8kB)

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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 2024-05-10 from the enwiktionary dump dated 2024-05-02 using wiktextract (a644e18 and edd475d). 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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