Is there a way to generate all possible Pythagorean quadruplets?

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SUMMARY

The discussion focuses on generating all possible Pythagorean quadruplets, particularly those that include even solutions without the constraint of coprimality among the integers a, b, c, and d. It references the Wikipedia page on Pythagorean quadruples, emphasizing that if (a, b, c, d) is a Pythagorean quadruple, then (2a, 2b, 2c, 2d) also qualifies as a valid quadruple. This indicates a systematic approach to derive even quadruples from primitive ones.

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If (a,b,c,d) is a Pythagorean quadruple, what can you say about (2a,2b,2c,2d)?
 

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