Re: area of multibrot-sets



Bruce Wayne wrote:

Are there any good estimates for the area of multibrot-sets (eg. z->z^5
+c)?
I'm doing a bit of research on that matter but found nothing up to now. Currently I'm pixel-counting it myself but the values are far from being precise. Are there even estimates for the area of sets like z->z^-n+c? In this case I think it would be more appropiate to count the escaping pixels but my own efforts lead to very small values not anymore in the precision of my program.


Here's a link to one of the classic papers on the Mandelbrot set area: ( Yuval Fisher
is known for his work on a fractal compress algorithm for the Department of the Navy)
Here are upper and lower bounds methods:
http://inls.ucsd.edu/~fisher/Complex/
http://inls.ucsd.edu/~fisher/Complex/area.ps.Z
.