[math-fun] Fractal coordinates

To specify a point in a two-dimensional space, we use two coordinates. I can't find any reference on how to specify a point in a fractional-dimensional space. Do any funsters know? http://www.cut-the-knot.org/do_you_know/dimension.shtml gives an example of a fractal with rational Hausdorff dimension, 3/2. Apparently, one can specify three points on the curve with two coordinates. I've no idea how one would approach the Koch curve. -- Mike Stay staym@clear.net.nz http://www.cs.auckland.ac.nz/~msta039