Hi all, From Wolfram Mathworld: "Shishikura (1994) proved that the boundary of the Mandelbrot set is a fractal with Hausdorff dimension 2" One would therefore assert that a correct 3D counterpart of the complex Mandelbrot would have a surface with Hausdorff dimension 3. So far the best candidate for this is the "Mandelbulb" though it's not "perfect" in particular since it only looks like what one would hope/expect when the exponent p in z^p+c is around 7 or more, usually quoted as 8. The details of the Mandelbulb can be found here: http://en.wikipedia.org/wiki/Mandelbulb My suggested diversion/challenge is to find the actual Hausdorff dimension for either the z^7+c or z^8+c Mandelbulb surface.....(not the box-counting version). bye Dave The meaning and purpose of life is to give life purpose and meaning. The instigation of violence indicates a lack of spirituality.