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math.CO2023
Improved estimates on the number of unit perimeter triangles
Ritesh Goenka, Kenneth Moore, Ethan Patrick White
We obtain new upper and lower bounds on the number of unit perimeter triangles spanned by points in the plane. We also establish improved bounds in the special case where the point…
math.CO2023
Additive structure in convex translates
Gabriel Currier, Jozsef Solymosi, Ethan Patrick White
Let be a set of points in the plane, and a strictly convex set of points. In this note, we show that if contains many translates of $\math…