This fractal uses an exponential in the parallel resistor formula.

Here is a link to an image:

The Fractint compatible PAR file for the image is:

A_Bit_of_Exp { ; Exported from Fracton.

 reset=2004 type=formula formulafile=fracton.frm

 formulaname=F_20121120_0848 passes=1 float=y

 center-mag=2.643259796049618/7.461063436411377e-15\

 /533333340000/1/-90/0

 params=-1/-1/5/5/-1/0/1/0/0/0 maxiter=2000

 inside=0 logmap=7 periodicity=6

 colors=000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O\

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 0zy0ym0ua0oS0hI0ZA0O40C10 }

frm:F_20121120_0848 {

; Similar to the parallel resistance formula

a=real(p1),b=real(p2)-1,d=imag(p1),f=imag(p2),

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

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

|z|<100

}