Lattice Configurations Determining Few Distances

zbMath1464.52008arXiv1911.11688MaRDI QIDQ5148774

Alex Rice, Anne Marie Loftin, Olivia Edwards, Bineyam Tsegaye, Vajresh Balaji, Solomon Mcharo

Publication date: 5 February 2021

Full work available at URL: https://arxiv.org/abs/1911.11688

zbMATH Keywords

distinct distancestriangular latticesquare latticefinite point configurations

Mathematics Subject Classification ID

Erd?s problems and related topics of discrete geometry (52C10)

Cites Work

• On the Erdős distinct distances problem in the plane
• Two-dimensional lattices with few distances
• Uniqueness of maximum planar five-distance sets
• Maximum planar sets that determine \(k\) distances
• A proof of Erdős-Fishburn's conjecture for \(g(6)=13\)
• Geometry of Riemann surfaces based on closed geodesics
• The hexagonal versus the square lattice
• On Sets of Distances of n Points

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