On the Curved Patterns Seen in the Graph of PPTs
Combinatorics
2026-01-22 v17 Number Theory
Abstract
Dr. Ron Knott constructed a graph of all Primitive Pythagorean Triples (PPTs) with legs up to length 10,000, using Mathematica. The patterns are very interesting, suggesting conic sections. We show that they indeed are parabolic curves which follow in a natural way from the mathematics of the subject matter.
Cite
@article{arxiv.2104.09449,
title = {On the Curved Patterns Seen in the Graph of PPTs},
author = {James M. Parks},
journal= {arXiv preprint arXiv:2104.09449},
year = {2026}
}
Comments
13 pages, 12 figures, 1 table. Earlier version presented at the ATCM Conf 2021