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. You can see an image on the Fracton web site at: http://www.fracton.org/fmlposts/galacticamoebas.html 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. If you would like to see a collection of all the images and movies on the Fracton website you can go to the gallery page at: http://www.fracton.org/gallery.html 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\ W5PW1QW8UZGYaObdWfgcjjknmsrpzvryqrxmqwhqvcpu_ptVps\ RpmVmfYi_afUebOiZHlWBpS5sP5mO6gO6aN7WN8QN8KM9EM88K\ 89M9AN9BPACRADS89N66I53D408908F19K2AQ3BW4C`5Df6Ek6\ EoFKtNPzVUzbZzkczshztbzuYzvczwczzczzczzczfc7zf7zh8\ 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 } -- Mike Frazier www.fracton.org