Horosphere
id:
horosphere-173-19010906
title:
Horosphere
text:
In hyperbolic geometry, a horosphere is a specific hypersurface in hyperbolic n-space. It is the boundary of a horoball, the limit of a sequence of increasing balls sharing a tangent hyperplane and its point of tangency. For n = 2 a horosphere is called a horocycle. A horosphere can also be described as the limit of the hyperspheres that share a tangent hyperplane at a given point, as their radii go towards infinity. In Euclidean geometry, such a "hypersphere of infinite radius" would be a hyper
brand slug:
wiki
category slug:
encyclopedia
description:
Hypersurface in hyperbolic space
original url:
https://en.wikipedia.org/wiki/Horosphere
date created:
2007-09-29T06:38:59Z
date modified:
2024-09-02T14:28:22Z
main entity:
{"identifier":"Q1053743","url":"https://www.wikidata.org/entity/Q1053743"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/0/04/633_honeycomb_one_cell_horosphere.png","width":602,"height":600}
fields total:
13
integrity:
16