Borsuk's conjecture
= Borsuk's conjecture
{wiki=Borsuk's_conjecture}
Borsuk's conjecture, proposed by Polish mathematician Karol Borsuk in 1933, asserts that any bounded, convex subset of Euclidean space \\( \\mathbb\{R\}^n \\) can be partitioned into \\( n + 1 \\) or fewer subsets, each of which has a smaller diameter than the original set.