On the Curved Patterns Seen in the Graph of PPTs

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 subjec...

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Bibliographic Details
Main Author Parks, James M
Format Journal Article
LanguageEnglish
Published 19.04.2021
Subjects
Mathematics - Combinatorics
Mathematics - Number Theory
Online AccessGet full text
DOI10.48550/arxiv.2104.09449

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Summary: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.
DOI:10.48550/arxiv.2104.09449