I haven't posted any fractals for a few months while I was testing Fracton's 3D model code. I really need a faster computer (or faster code) to make them practical. I stopped one model after two weeks of calculations when it still hadn't finished. Doubling the resolution of the model often takes 10 times longer to calculate. Changing the resolution of a model from coarse to good often changes the execution time from minutes to months. Luckily, there are still plenty of fractal adventures to be had in the 2D space where calculations finish in a much more reasonable time.

I recently explored fractals using the parallel resistor formula I have posted in the past. I noticed a few things, although there are still many more behaviors to be discovered. Here is a link to a web page with an image and a description of what I found:

I will also list the PAR file here for people collecting them from the mail list:

MixedUpMinibrot { ; Exported from Fracton.

 reset=2004 type=formula formulafile=fracton.frm

 formulaname=F_20121101_1707 passes=1 float=y

 center-mag=-0.3871042832031641/-1.169807668188325e\

 -12/1333333350/1/90/0

 params=-1/1/8/7/-1/0/1/0/0/0 maxiter=4000

 inside=0 periodicity=6

 colors=000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O\

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 ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0ym\

 0zy0ym0ua0oS0hI0ZA0O40C10 }

frm:F_20121101_1707 {

; Similar to the parallel resistance formula

a=real(p1),b=real(p2),d=imag(p1),f=imag(p2),

z=0,c1=pixel-p3,c2=pixel-p4:

z=1/(1/(a*(z^b)+c1)+1/(d*(z^f)+c2)),

|z|<100

}