Does this algebraic surface have a name?

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Does this algebraic surface have a name, or is otherwise known?

$x^4 + y^4 + z^4 - 2 x^2 y^2 + 2 y^2 z^2 + 2 z^2 x^2 - 4 z^2 = 0 $

Here's a (somewhat squished along the z-axis) image:

surface