Sections 17-20
(Preliminary web page)
Section 17 says that as r becomes infinitely large, the sine surface equation becomes simply r^m sin m PHI. And Section 19 deals with choosing a large enough r to get the same effect. These animations indicate that for an equation of fifth degree, as you move out to larger and larger values of r, the fifth-degreeness subsumes the rest of the equation. Hit F5 or click the refresh button to get the animations to move again
This is an animation of the Gauss surfaces: here
And this is the same with just the Gauss curves on the plane: here
The Mathematica code for these animations is: here
