RATIONAL DISTANCES WITH RATIONAL ANGLES

DOI10.1112/S0025579311001847zbMath1252.52014arXiv1008.3671OpenAlexW3103075167MaRDI QIDQ2902667

Ryan Schwartz, Frank de Zeeuw, József Solymosi

Publication date: 22 August 2012

Published in: Mathematika (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.3671

zbMATH Keywords

rational distancesmaximum number of unit distancesunit distances with rational angle

Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10) Planar arrangements of lines and pseudolines (aspects of discrete geometry) (52C30)

Related Items (4)

Open sets avoiding integral distances ⋮ The number of unit distances is almost linear for most norms ⋮ Additive structure in convex translates ⋮ On sets with small additive doubling in product sets

Cites Work

• The number of unit distances is almost linear for most norms
• Crossing Numbers and Hard Erdős Problems in Discrete Geometry
• On linear relations between roots of unity
• On Sets of Distances of n Points

This page was built for publication: RATIONAL DISTANCES WITH RATIONAL ANGLES