GENERATING PYTHAGOREAN TRIPLES OF A GIVEN HEIGHT

被引：1

作者：

Austin, Jathan ^{[1
]}

机构：

[1] Salisbury Univ, Dept Math & Comp Sci, Salisbury, MD 21801 USA

来源：

MISSOURI JOURNAL OF MATHEMATICAL SCIENCES | 2019年 / 31卷 / 02期

关键词：

Pythagorean triple; height; leg difference; Height-Excess Enumeration Theorem;

D O I：

10.35834/2019/3102136

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The height of a Pythagorean triple (a, b, c) is defined as the difference c- b. In this paper, building on the Height-Excess Enumeration Theorem, we show how to generate primitive Pythagorean triples of a given height using powers of a single matrix. Then, we briefly discuss other matrices that both map any Pythagorean triple to another and also preserve a triple's height. We also note how Pythagorean triples with a given leg difference can be generated using matrices.

引用

页码：136 / 145

页数：10

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