Construct the graph of z = x2 - y2 above the unit circle.
> restart;
> x:=r*cos(t):
> y:=r*sin(t):
> z1:=-1:
> z2:=cos(2*t):
> with(plottools):
> plot3d([x,y,x^2-y^2],r=0..1,t=0..2*Pi,scaling=constrained,grid=[10,100]);
>