Tverberg's theorem
id:
tverberg-s-theorem-187-5722245
title:
Tverberg's theorem
text:
In discrete geometry, Tverberg's theorem, first stated by Helge Tverberg in 1966, is the result that sufficiently many points in d-dimensional Euclidean space can be partitioned into subsets with intersecting convex hulls. Specifically, for any positive integers d, r and any set of
- + 1 points in d-dimensional Euclidean space there exists a partition of the given points into r subsets whose convex hulls all have a common point; in other words, there exists a point x such that x belongs to t
brand slug:
wiki
category slug:
encyclopedia
description:
On partitions into intersecting convex hulls
original url:
https://en.wikipedia.org/wiki/Tverberg%27s_theorem
date created:
2005-11-09T09:29:55Z
date modified:
2024-09-08T08:51:15Z
main entity:
{"identifier":"Q7857350","url":"https://www.wikidata.org/entity/Q7857350"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/5/5b/Tverberg_heptagon.svg","width":247,"height":242}
fields total:
13
integrity:
16