# Acute sets

## TL;DR

This paper constructs large acute sets in high-dimensional Euclidean spaces, demonstrating that such sets can have exponentially many points relative to the dimension.

## Contribution

The paper introduces a method to construct acute sets in  of size at least 2^{d/2}, significantly improving known lower bounds.

## Key findings

- Constructed acute sets of size at least 2^{d/2} in 
- Showed exponential growth of acute set size with dimension
- Provided a new lower bound for the size of acute sets

## Abstract

A set of points in $\mathbb{R}^d$ is acute, if any three points from this set form an acute angle. In this note we construct an acute set in $\mathbb{R}^d$ of size at least $2^{d/2}$.