Amicable Triangle and Rectangles on the Integer Lattice

Iwan Praton; Weiran Zeng

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arXiv · 2503.20458

Amicable Triangle and Rectangles on the Integer Lattice

Iwan Praton·Weiran Zeng

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Abstract

Two polygons are amicable if the perimeter of one is equal to the area of the other and vice versa. A polygon is a lattice polygon if its vertices are on the integer lattice $\Z^2$. We show that there is one pair of amicable lattice triangles and five pairs of amicable lattice rectangles.

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BibTeX RIS

Iwan Praton, Weiran Zeng. 2025-03-26. Amicable Triangle and Rectangles on the Integer Lattice. https://arxiv.org/abs/2503.20458

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