This fractal has a lot of symmetry yet it also has a lot of different shapes. It has circles, a square, and an octagon. The formula is a variation of the parallel resistor formula and has a z ^ 4 term as its lowest z component. I have noticed previously that the lowest z term seems to set the types of minibrots you see in the fractal and this one follows the same pattern. This fractal has the four way symmetry you expect to see with a z ^ 4 term but it also has a structure with 12 arms which isn't as common. The color palette is one I have used numerous times before because it seems to work with any fractal with no adjustments. Fracton's color palette editor is very tedious to use so I tend to reuse the same palette. I have plans for upgrading the color palette editor but those will likely take a few months to complete (at best). I recently updated Fracton with some improvments to other areas of Fracton's user interface. If anyone is interested, Fracton can be downloaded from the www.fracton.org website. Fracton is FractInt PAR file compatible and free but Mac only. I have quite a few other fractals I am hoping to post in the coming weeks. Most of them are in the same color palette as todays fractal. So now you know why. Here is a link to an image: http://dl.dropboxusercontent.com/u/33642054/image/medalion_of_four.jpg The Fractint compatible PAR file for the image is: medalion_of_four { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20140108_1141 passes=1 float=y center-mag=-3.618931505229473/-7.152557203304979e-\ 14/60606061363.63636/1/0/0 params=-1/1/0/4/-1.13/0/1/0/0/0 maxiter=2000 inside=0 logmap=14 periodicity=6 colors=000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O\ 40C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40\ C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C1\ 0000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C100\ 00C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000\ C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C1\ 0O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O\ 40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40\ ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA\ 0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0h\ I0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0\ oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS\ 0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0u\ a0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0\ ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0ym\ 0zy0ym0ua0oS0hI0ZA0O40C10 } frm:F_20140108_1141 { ; Similar to the parallel resistance formula a=real(p1),b=real(p2),d=imag(p1),f=imag(p2), z=0,c1=pixel-p3,c2=pixel-p4: z=1/(1/(a*z*(cos(z)-1)*sin(z)+c1)+1/(d*(z^f)+c2)), |z|<100 } -- Mike Frazier www.fracton.org