On the Curved Patterns Seen in the Graph of PPTs
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2021
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| _version_ | 1866909996072042496 |
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| author | Parks, James M. |
| author_facet | Parks, James M. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2104_09449 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | On the Curved Patterns Seen in the Graph of PPTs Parks, James M. Combinatorics Number Theory 11D09, 11D45, 11D61 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. |
| title | On the Curved Patterns Seen in the Graph of PPTs |
| topic | Combinatorics Number Theory 11D09, 11D45, 11D61 |
| url | https://arxiv.org/abs/2104.09449 |