Word.ws English Dictionary

horosphere

horosphere noun: 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.

horosphere: an n-1-dimensional hyperplane in hyperbolic n-dimensional space: it is (in the Poincaré disk)...
Image: Claudio Rocchini, CC BY 3.0, via Wikimedia Commons

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.

Forms of horosphere

pluralhorospheres

Origin of horosphere

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

Questions about horosphere

What does horosphere mean?
Horosphere means 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.
What part of speech is horosphere?
Horosphere is a noun.
What is the plural of horosphere?
The plural of horosphere is horospheres.

Words near horosphere in the dictionary

  1. horoscopic
  2. horoscopical
  3. horoscopist
  4. horoscopists
  5. horoscopy
  6. horosphere
  7. horospheres
  8. horospherical
  9. horotelic
  10. horotely
  11. Horovitz

Source and license

Adapted from Wiktionary: horosphere (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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Cite this entry: “horosphere.” Word.ws, https://word.ws/horosphere. Based on Wiktionary, CC BY-SA 4.0.