New posts in Pythagorean Triples

If $\gcd(x,y)=1$, and $x^2 + y^2$ is a perfect sixth power, then $xy$ is a multiple of $11$

Is there an existing theory of Pythagorean triples for numbers of the form $p+q\sqrt r$ rather than integers?

$x^2+y^2=z^n$: Find solutions without Pythagoras!

A very different property of primitive Pythagorean triplets: Can number be in more than two of them?

Can a right triangle have odd-length legs and even-length hypotenuse?

Is there a way to find a pythagorean triple so that when you place a given digit before it, it still is a pythagorean triple?

Does any given integer only occur in one primitive Pythagorean triple?

Why can no prime number appear as the length of a hypotenuse in more than one Pythagorean triangle?

How to find all Pythagorean triples containing a given number?

Are there infinitely many Pythagorean triples with these constraints?