Radon's theorem

Radon's theorem is a result in convex geometry that deals with the intersection of convex sets. Specifically, it states that: **Radon's Theorem:** If a set of \( d + 2 \) points in \( \mathbb{R}^d \) is given, then it is possible to partition these points into two non-empty subsets such that the convex hulls (the smallest convex sets containing the points) of these two subsets intersect.