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From integer Lorentz transformations to Pythagoras

From integer Lorentz transformations to Pythagoras

In this article we show how to obtain by recurrence all primitive Pythagorean triples from the single basic (4, 3, 5) triple. It is all done by repeated application of two integer unimodular transformations that leave the indefinite metric x 2 + y 2 - z 2 invariant, together with …