Re: APOD: Quantum Steampunk Fantasy Fractal... (2013 Dec 30)
Posted: Tue Dec 31, 2013 12:16 pm
Any work done on modeling Van Derwaals forces with fractals?
APOD and General Astronomy Discussion Forum
https://asterisk.apod.com/
Presumably the boundary surface of the Quantum Steampunk has a Hausdorff dimension of 3.PacRimJim wrote:
As I recall, the dimensionality of the ordinary Mandelbrot set is between 2 and 3, so shouldn't the dimensionality of this fractal be greater than 3, rather than 3?
http://en.wikipedia.org/wiki/Mandelbrot_set wrote:
The Hausdorff dimension of the boundary of the Mandelbrot set equals 2 as determined by a result of Mitsuhiro Shishikura. It is not known whether the boundary of the Mandelbrot set has positive planar Lebesgue measure.