Acute sets

Abstract

A set of points in ${\mathbb{R}}^d$ is acute, if any three points from this set form an acute triangle. In this note we construct an acute set in ${\mathbb{R}}^d$ of size at least $1.618^d$. Also, we present a simple example of an acute set of size at least $2^{\frac{d}{2}}$.

5 pages; DCG, accepted