horosphere
Jump to navigation
Jump to search
English
[edit]![](http://upload.wikimedia.org/wikipedia/commons/thumb/2/22/Horocycle_normals.svg/220px-Horocycle_normals.svg.png)
Etymology
[edit]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
Noun
[edit]horosphere (plural horospheres)
- An -dimensional hyperplane in hyperbolic -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.
See also
[edit]horosphere on Wikipedia.Wikipedia