>> I don't understand the fascination with perfect mathematically described 
>> surfaces, they are inflexible and slow to render.
>
> Really? I was under the impression that splines can describe any possible 
> surface.

How do you render a splined surface directly?  Even POV converts them to 
triangles first!

> Triangles, on the other hand, can only give a crude approximation to 
> curves.

In practice display devices are made of pixels, so using triangles you can 
always get exactly the same output as using the true curve.  Have you ever 
seen any "crude approximations" to curves in film CG?

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