The window "Domain" displays a domain as a wireframe, a point (u0, v0) in the domain, and the u-constant and v-constant curves through that point in red and green, respectively.

The window "Surface X(u,v)" shows the hyperboloid of one sheet X(u,v) = (a*cos(u)cosh(v), b*sin(u)cosh(v), c*sinh(v)) for the given domain and the images of the point and the curves from the "Domain" window.

It is possible to change u0, v0, a, b, and c in the control window.