How do I parameterise the following implicit surface?
$$ \cos x + \cos y + \cos z = 0 $$
Motivation for this problem comes from attempting to find stable motion for an object balanced on one point. The equation seems so simple, but I really have no idea how to solve this problem. Apparently the surface approximates the Schwarz P minimal surface, however I do not have any knowledge of the theory behind that.
Just to get an idea of the surface:
The curves of different colour correspond to different values of $\cos z$ with $z = k \pi/4$.