Ruled Surface Lissajous vases

These shapes are constructed as ruled surfaces. The base is elliptical and the top is a lissajous curve http://en.wikipedia.org/wiki/Lissajous_curve

A=B=1,Theta =120 makes a hyperboloid
A=1,B=2,Theta=0 makes a two hole vase, one shallow, one deep
A=1,B=3,Theta=0 makes a three hole vase, two shallow, one deep