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Yeah, everything you said makes excellent points.

But, it can't speed up because now it takes surface deformations into account, so they DO slow down :) It's an ad hoc method though, but it works...

It's because real cubes touch at multiple points, and the torque induces from the normal force at each contact point opposing each other. in the strictest sense, real spheres are more like the cube...

EDIT:
Okay I am done checking. I am pretty sure I am going to go insane. If you guys don't actually read it, it's cool, but don't argue with me unless you do :)

Sweet, I like proofs :)

The...

You are definitely right about the air resistance thing, and sorry if i rushed it a bit. However, the key here is that the sphere *does* have friction acting on it, but friction doesn't bring the...

arg, I guess we don't have any other takers (i.e anyone that cares). I guess I will just give the answer:

it never comes to rest!!! I can prove this too for anyone that cares, but, well you know...

The only forces on the sphere is the force of the ground pushing up and the force of friction.

And, it's not friction that brings it to a rest :) Remember, this is a *mathematically perfect...

This isn't a homework question or anything. Actually, it's a math related question that I've had to think about in the implementation of a physics program I'm perpentually trying to get to work in a...