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- W4290056670 abstract "It is well known that a triangle with side lengths 3, 4 and 5 is right-angled. Euclid was the first to give a formula for generating other right-angled triangles with integer side lengths. In this text, I present a novel algorithm to generate all possible right-angled triangles with integer side lengths, in which the three side lengths have no common divisor. The algorithm is based on the difference in length between the hypothenuse and the largest of the two other sides. I also prove the completeness of this algorithm: it generates all possible such triangles and nothing but such triangles." @default.
- W4290056670 created "2022-08-06" @default.
- W4290056670 creator A5012707791 @default.
- W4290056670 date "2022-08-04" @default.
- W4290056670 modified "2023-09-26" @default.
- W4290056670 title "A new complete algorithm for Irreducible Diophantine Pythagorean Triangles (IDPTs)" @default.
- W4290056670 doi "https://doi.org/10.48550/arxiv.2208.02706" @default.
- W4290056670 hasPublicationYear "2022" @default.
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