Jung's theorem

Jung's theorem is a result in geometry concerning the minimum length of a certain type of curve that connects a finite set of points in a Euclidean space. Specifically, it states that for any finite set of points in \(\mathbb{R}^n\), there exists a curve (or continuous path) that connects all the points and has a length that is at most the radius of the smallest enclosing sphere of the points multiplied by \(\sqrt{n}\).