Re: area of multibrot-sets
- From: Roger Bagula <rlbagula@xxxxxxxxxxxxx>
- Date: Wed, 16 Jan 2008 21:29:07 GMT
Bruce Wayne wrote:
Are there any good estimates for the area of multibrot-sets (eg. z->z^5Here's a link to one of the classic papers on the Mandelbrot set area: ( Yuval Fisher
+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.
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
.
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