On sets of points that determine only acute angles

Eyal Ackerman, Oren Ben-Zwi

Research output: Contribution to journalArticlepeer-review


We show that for every integer d there is a set of points in Ed of size Ω ((frac(2, sqrt(3)))d sqrt(d)) such that every angle determined by three points in the set is smaller than π / 2. This improves the best known lower bound by a Θ (sqrt(d)) factor.

Original languageEnglish
Pages (from-to)908-910
Number of pages3
JournalEuropean Journal of Combinatorics
Issue number4
StatePublished - May 2009
Externally publishedYes

Bibliographical note

Funding Information:
We thank Guy Wolfovitz for helpful discussions, specifically, for suggesting using [6] instead of [8] in order to simplify the proof of Theorem 1 . The first author was supported by a fellowship from the Alexander von Humboldt Foundation.

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics


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