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arXiv · 2112.05517

N-sociable Heronian Triangles

Nart Shalqini
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Abstract

A Heronian triangle is a triangle that has integer side lengths and integer area. Praton and Shalqini [1] define amicable Heronian triangles to be two Heronian triangles where the area of one equals the perimeter of the other, and vice versa; analogous to the concept of amicable numbers. In this paper, we generalize this notion to n-sociable Heronian triangles and characterize them for each n.

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Nart Shalqini. 2021-12-07. N-sociable Heronian Triangles. https://arxiv.org/abs/2112.05517

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