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arXiv · 2304.03920

Improved estimates on the number of unit perimeter triangles

Ritesh Goenka·Kenneth Moore·Ethan Patrick White
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Abstract

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 set is a section of the integer grid.

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Ritesh Goenka, Kenneth Moore, Ethan Patrick White. 2023-04-08. Improved estimates on the number of unit perimeter triangles. https://doi.org/10.1007/s00454-023-00615-9

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