Gerencsér Balázs - Harangi Viktor: The story of acute sets

A question of Erdős asks to give as many points in $\mathbb{R}^d$ as possible in a way that all angles formed by the points are acute. For decades the best known lower and upper bounds had been a long way apart before a number of unexpected twists took place in the past year. We tell the story outlining the various proofs and constructions.