Recursive generation of primitive Pythagorean triples (Q1312698)

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scientific article; zbMATH DE number 495246
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Recursive generation of primitive Pythagorean triples
scientific article; zbMATH DE number 495246

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    Recursive generation of primitive Pythagorean triples (English)
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    26 April 1994
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    It is shown that all primitive Pythagorean triples can be generated from (0,1,1) by repeated application of the linear transformations \(A=\left[\begin{matrix} 2 &1 &2\\ 1 &2 &2\\ 2 &2 &3\end{matrix}\right]\) for \(A^{-1}\), where eventually some signs must be changed.
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    primitive Phythagorean triples
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