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arXiv · 2605.20093

Amicable Lattice Rhombuses are Amicable

Bohdan Biekietov·Iwan Praton·Weiran Zeng
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Abstract

A polygon is equable if its area is equal to its perimeter. A pair of polygons is an amicable pair if the area of the first is equal to the perimeter of the second, and vice versa. A polygon is a lattice polygon if its vertices lie on the integer lattice. We show that amicable lattice rhombuses are actually equable.

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Bohdan Biekietov, Iwan Praton, Weiran Zeng. 2026-05-19. Amicable Lattice Rhombuses are Amicable. https://arxiv.org/abs/2605.20093

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