A Lapin Mandelbrot like:
z'=z^2/(z^2+1/c)
gives a very similar output to the 1/c plot inverse.
John Bailey wrote:
On Sun, 09 Oct 2005 17:58:46 +0200, Johann Blaser
<johann.blaser@xxxxxx> wrote:
are there somewhere pictures from the (inverse?) mandelbrot-set, where
not the diverging coordinates are visualized, but different converging
ones. I even don't know myself what i mean with 'different'
While not clear from what you express, my definition of the inverse
mandelbrot-set is one in which the points of the set are mapped to
their complex inverse coordinates.
http://home.rochester.rr.com/jbxroads/interests/sci.fractals/Java_Fractals/
The first two items in this directory were made this way.
Every point x,y is calculated from the corresponding point from the
Mandelbrot set, u,v by making the conversion of the complex
coordinates from u + iv to 1/(x + iy)
Additional variation can be introduced by changing the coordinates of
the origin, relative to the set.
Both Mandelbrot and Julia sets lend themselves to this treatment.
Also the Mr. Magoo fractal was found to look better when plotted this
way.
Re: Mandelbrot-Pictures ... >not the diverging coordinates are visualized, but different converging...mandelbrot-set is one in which the points of the set are mapped to ... their complex inverse coordinates.... (sci.fractals)
Mandelbrot-Pictures ... are there somewhere pictures from the mandelbrot-set,... not the diverging coordinates are visualized, but different converging ones. ... (sci.fractals)
