Akatsuki Nishioka

An improved lower bound for the three-dimensional Blaschke–Lebesgue problem from spectral and dual perspectives

The Blaschke–Lebesgue problem asks for convex bodies of minimum volume among all convex bodies of prescribed constant width. In the plane, the minimizer is the Reuleaux triangle, whereas the corresponding three-dimensional problem remains open and is also known as Meissner's conj...