This fractal looks a bit like gold filigree. The formula is a variation of the parallel resistor formula with three z^2 components. The components are centered at -4.5, 0, and +4.5 along the imaginary y axis.

Here is a link to an image:

The Fractint compatible PAR file for the image is:

Black_Gold { ; Exported from Fracton.

 reset=2004 type=formula formulafile=fracton.frm

 formulaname=F_20130417_1555 passes=1 float=y

 center-mag=-10.19972708650225/0/121.2121227272727/\

 1/0/0

 params=0/4.5/0/0/0/0/0/0/0/0 maxiter=2000

 inside=0 periodicity=6

 colors=000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O\

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 0zy0ym0ua0oS0hI0ZA0O40C10 }

frm:F_20130417_1555 {

; Similar to the parallel resistance formula

z=0,c1=pixel-p1,c2=pixel+p1,c3=pixel:

f1=z*z+c1,

f2=z*z+c2,

f3=z*z+c3,

z=1/(1/f1+1/f2+1/f3),

|z|<100

}