Acute sets

D. Zakharov

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arXiv · 1707.04829

Acute sets

D. Zakharov

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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 $2^{\frac{d}{2}}$.

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BibTeX RIS

D. Zakharov. 2017-10-03. Acute sets. https://arxiv.org/abs/1707.04829

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