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I am looking for a pythagorean quadruple generator in 3 variables. I know this one with 4 variables.

$$a=2mp+2nq \\ b=2np-2mq \\ c=p^2+q^2-(n^2+m^2) \\ d=p^2+q^2+n^2+m^2 $$

Anyway to do this?

Glare
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Seth Kitchen
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1 Answers1

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a=2mp b=2np c=p^2-(m^2+n^2) d=p^2+m^2+n^2

http://mathworld.wolfram.com/PythagoreanQuadruple.html

Seth Kitchen
  • 443
  • you ought to do a simple test on computer, this three parameter method is very far from giving all quadruples. To be specific, it misses $(2,3,6,7)$ – Will Jagy Jul 14 '15 at 20:29