Source: wikibot/tverberg-s-theorem

= Tverberg's theorem
{wiki=Tverberg's_theorem}

Tverberg's theorem is a result in combinatorial geometry that concerns the division of points in Euclidean space. It states that for any set of \\( (r-1)(d+1) + 1 \\) points in \\( \\mathbb\{R\}^d \\), it is possible to partition these points into \\( r \\) groups such that the \\( r \\) groups share a common point in their convex hulls.