Re: [math-fun] rolling a ball along a fractal

On Mon, Aug 4, 2008 at 12:44 PM, James Propp <jpropp@cs.uml.edu> wrote:

Maybe there's a dichotomy here, and it makes sense to roll a ball along a fractal curve as long as its fractal dimension is sufficiently low, but not if the fractal dimension exceeds some cutoff?

(This question has "Dan Asimov" written all over it

Well, Erin Pearse wrote all over *about* the question: http://arxiv.org/abs/math-ph/0412029 http://arxiv.org/abs/math.DS/0605527 http://www.math.cornell.edu/~erin/dissertation/dissertation.pdf -- Mike Stay - metaweta@gmail.com http://math.ucr.edu/~mike http://reperiendi.wordpress.com