This fractal is one I found in 2016 while experimenting with one of Jim Muth's favorite formulas, the FinDivBrot-2. The formula makes nice fractals and I was interested in seeing what it would look like when used with the parallel resistor formula that I have posted here many times before.

Jim's original formula with a = -1 in simplified form is:

z = b * z * z / (1 / z + b) + pixel

Using it in the parallel resistor formula, rp = 1 / (1/r +1/r) I got.

z1 = b * z * z / (1 / z + b)
z = 1 / (1 / (z1 + c1) + 1 / (z1 + c2))

You never know if something like this will make an interesting fractal without trying it. Since I was just exploring, I used Jim's original color map. You can probably guess what happened. I found this fractal that I liked with Jim's colors. I couldn't change it without losing the nice green galactic nebula appearance. So here it is with Jim's original color map unchanged.

Hal Lane and I explored many other fractals in this formula. It tends to make a lot of fractals with tendrils. A few are visible at the boundary between the green and the black along the left side in this image.

The FractInt compatible PAR file for the image is:

GalacticAmoebas { ; Exported from Fracton.
  reset=2004 type=formula formulafile=fracton.frm
  formulaname=F_20171001_1432 passes=1 float=y
  center-mag=-4.057989461979981/0/112104.10256781/1/\
  0/0
  params=1/0/-1/0/0/333/0/0/0/0 maxiter=2000
  inside=0 outside=tdis
  colors=000CpEAnG9mIDcLGVOJMRLOPNPMPRKRTITVFVWDXYBY\
  Z9XiYXtuSloNdiIXbEPXCUYA_Z8d_6j`4pa2uaBq`Ll`Uh_ccZ\
  cYbbSebNiaHlaCoa6ra1u`4p_7jZAeYE_YHVTJWOKWJLWENWAO\
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  RpmVmfYi_afUebOiZHlWBpS5sP5mO6gO6aN7WN8QN8KM9EM88K\
  89M9AN9BPACRADS89N66I53D408908F19K2AQ3BW4C`5Df6Ek6\
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  zgKzgKzfUzfczeczeczfczhcziczjwzzwzzwzzwzzwzzwzzwzz\
  wzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwz\
  zwzwwzwwzmwzmwzgwzcwzTwzRwzPwzOwzKwzHwzEwzBwz8wzFw\
  zMwzTwz_wzfwzmwztwzzwzqwzhwzZwzQwzHwbUwZewVqwMiwMd\
  wN_wNWwORwONVONUONUNMUNMTNMTNMTMLSMLSMLSMLSMLSLKRL\
  KRKJRKJQKJQKJQKJQKJQKJPKJPJIPJIPJIOIHOIHOIHNIHeLTh\
  GNYFINEDCD81D45O89YBAcBBiBCoBDuBNg9YU7hG5s34lB6fK8\
  _TATaCNiEGrGAzILlQW_XfMdeLedLecKfbKfaKf`Kf`KfAlfBk\
  hCijDhlEfnFeoHcqIbsFsADqC }

frm:F_20171001_1432 {
  ; Based on Lucid_Dreams June 10, 2016 by Jim Muth
  ; Modified for use in parallel resistor formula
  esc=(16),b=imag(p3),
  c1=p1+pixel,c2=p2+pixel,
  z=1/(1/c1+1/c2):
  z1=(b)*(z*z/(1/z+b)),
  z=1/(1/(z1+c1)+1/(z1+c2)),
  |z|<esc
}