Horocycle
id:
horocycle-210-3653171
title:
Horocycle
text:
In hyperbolic geometry, a horocycle, sometimes called an oricycle or limit circle, is a curve of constant curvature where all the perpendicular geodesics ( normals) through a point on a horocycle are limiting parallel, and all converge asymptotically to a single ideal point called the centre of the horocycle.
In some models of hyperbolic geometry it looks like the two "ends" of a horocycle get closer and closer to each other and closer to its centre, this is not true; the two "ends" of a horocyc
brand slug:
wiki
category slug:
encyclopedia
description:
Curve whose normals converge asymptotically
original url:
https://en.wikipedia.org/wiki/Horocycle
date created:
2007-05-06T13:38:21Z
date modified:
2024-09-11T19:36:56Z
main entity:
{"identifier":"Q2246795","url":"https://www.wikidata.org/entity/Q2246795"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/2/22/Horocycle_normals.svg","width":800,"height":800}
fields total:
13
integrity:
16