N-sociable Heronian Triangles
History and Overview
2021-12-24 v1 Metric Geometry
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.
Cite
@article{arxiv.2112.05517,
title = {N-sociable Heronian Triangles},
author = {Nart Shalqini},
journal= {arXiv preprint arXiv:2112.05517},
year = {2021}
}
Comments
To appear in the Pi Mu Epsilon Journal