Hyperbolic Paraboloids
This is the equation of a hyperbolic paraboloid whose axis is the z-axis.
As with the elliptic paraboloids, this is an explicit equation, of the form "z=..."
> hyperpara:=x^2/a^2-y^2/b^2;
Let's check it out for a=1, and b=2
> hyperpara1:=subs({a=1,b=2},hyperpara);
>
Plot of hyperbolic paraboloid "hyperpara1"