no. of integer triplet.

[man111]

no. of tripilet $(x,y,z)$ satisfying The equation $x^4+y^4+z^4-2x^2y^2-2y^2z^2-2z^2x^2=24$

[mihiv]

There are no integer triplets.

[Mathusic]

$\Leftrightarrow (x^2+y^2-z^2)^2-(2xy)^2=24.$