I have done a lot of exploring in Jim Muth's MandAutoCritInZ formula. Part of the fun is never knowing what you will find. The mixing of the exponents causes the fractal to have a totally different look than the individual z power components. I found this fractal by zooming into noisy areas. The formula is z = 0.9 z^16 - 0.8 z^4 + pixel. A parameter file for the top image is at the bottom of the page. More images in the same area are shown below. The bottom image looks like a robot to me.

The parameter file for the top image is:

critical_strips { ; Exported from Fracton.
 ; time = 2 sec at 640 x 480
 reset=2004 type=formula formulafile=fracton.frm
 formulaname=MandAutoCritInZ function=ident float=y
 center-mag=-0.667988478404261/5.264282226562566e-0\
 9/910222233.5999999/1/0/0
 params=0.9/16/-0.8/4/0/0/0/0/0/0 maxiter=2000
 inside=0 periodicity=6
 colors=000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O\
 40C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40\
 C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C1\
 0000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C100\
 00C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000\
 C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C1\
 0O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O\
 40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40\
 ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA\
 0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0h\
 I0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0\
 oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS\
 0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0u\
 a0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0\
 ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0ym\
 0zy0ym0ua0oS0hI0ZA0O40C10 }

frm:MandAutoCritInZ {; Jim Muth
 a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
 g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
 k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
 z=k*((a*(z^b))+(d*(z^f)))+c,
 |z| < l }