Here is another fractal using the parallel resistor formula. The basic formula combines any two powers of z. It seems to make a fractal with pretty much any coefficients you pick. I wondered what would happen if I substituted a cosine for one of the z terms. The cosine seems to add a lot of intricate detail. Here is a link to a web page with an image and a description of what I found:

The equation for this fractal is:

z = 1 / (1 / ((-1) * cos(z) + pixel + 1) + 1 / (z ^ 4 + pixel - 1))

I like fractals with lots of intricate detail and even more so when there is a lot of variation as you look around in the image. This image has a lot going on that is not visible unless it is drawn at a much higher resolution than fits on a webpage. I made a high resolution anti-aliased image (4000 x 3000 and 6.1 Mb) which is available in the link below. It may be too large for some browsers so right click (option-click Mac) and download the file for viewing in an image editing program if you have problems. If you do open it in a browser, make sure to click the screen to zoom in so the image is at full size.

http://drive.google.com/thumbnail?id=0B46h4FB5HYJdeWNXM0NiS1MtMW8&sz=w4000

Looking around in the high resolution image reminds me of looking at some of the Hubble deep sky images. Everywhere you look there is some interesting feature. I didn't realize the right side was so different from the left side until I saw it at high resolution. There are dozens of places that would be interesting to zoom into. Each time I have made one of these large images I have noticed things I missed when searching the area.

The parameter file for the fractal is:

Mixing_Cosine { ; Exported from Fracton.
 reset=2004 type=formula formulafile=fracton.frm
 formulaname=F_20121102_1156 passes=1 float=y
 center-mag=0.5475442691084866/-2.413982470836851e-\
 06/3333.333375/1/0/0
 params=-1/1/0/4/-1/0/1/0/0/0 maxiter=2000
 inside=0 periodicity=6
 colors=000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O\
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 ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0ym\
 0zy0ym0ua0oS0hI0ZA0O40C10 }

frm:F_20121102_1156 {
 ; 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*cos(z)+c1)+1/(d*(z^f)+c2)),
 |z|<100
 }