Any two-coloring of the plane contains monochromatic 3-term arithmetic
progressions
Any two-coloring of the plane contains monochromatic 3-term arithmetic
progressions
A conjecture of Erd\H{o}s, Graham, Montgomery, Rothschild, Spencer and Straus states that, with the exception of equilateral triangles, any two-coloring of the plane will have a monochromatic congruent copy of every three-point configuration. This conjecture is known only for special classes of configurations. In this manuscript, we confirm one of …