Pair of pants (mathematics)
id:
pair-of-pants-mathematics-286-4367183
title:
Pair of pants (mathematics)
text:
In mathematics, a pair of pants is a surface which is homeomorphic to the three-holed sphere. The name comes from considering one of the removed disks as the waist and the two others as the cuffs of a pair of pants. Pairs of pants are used as building blocks for compact surfaces in various theories. Two important applications are to hyperbolic geometry, where decompositions of closed surfaces into pairs of pants are used to construct the Fenchel-Nielsen coordinates on Teichmüller space, and in t
brand slug:
wiki
category slug:
encyclopedia
description:
Three holed sphere
original url:
https://en.wikipedia.org/wiki/Pair_of_pants_(mathematics)
date created:
date modified:
2023-12-03T11:54:46Z
main entity:
{"identifier":"Q7125122","url":"https://www.wikidata.org/entity/Q7125122"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/0/09/Pair_of_pants.png","width":624,"height":584}
fields total:
13
integrity:
15