Here is an animation of a fractal I found back in 2012. The fractal mixes z * (cosh(z) - 1) and z * z * sinh(z) at locations -1 and +1. Varying the locations of the two components causes the tendril arms to be more or less curled. The animation moves the locations by changing the parameters p3 and p4 from -1.1 to -0.8 and +1.1 to +0.8. Moving the component locations also causes the center of the desired area to move so the animation moves the fractal center to follow that as well. To keep the render time reasonable I made the movie only 5 seconds long (61 frames). It still took 1.5 hours to render. Here is a link to the movie (2.5 MB): http://dl.dropboxusercontent.com/u/33642054/image/pr_3cosh-3sinh_F.mov Here is a link to an image at about the 1/3 point of the movie at locations -1 and +1: http://dl.dropboxusercontent.com/u/33642054/image/pr_3cosh-3sinh_F_640_5.jpg The FractInt compatible PAR file for the image is: TanglingTendrils { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20160309_1314 passes=1 float=y center-mag=0.008301665151149345/0.1582340776519129\ /566.2672882912181/1/0/0 params=-1/-1/0/4/-1/0/1/0/0/0 maxiter=2000 inside=0 periodicity=6 colors=000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O\ 40C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40\ C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C1\ 0000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C100\ 00C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000\ C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C1\ 0O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O\ 40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40\ ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA\ 0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0h\ I0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0\ oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS\ 0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0u\ a0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0\ ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0ym\ 0zy0ym0ua0oS0hI0ZA0O40C10 } frm:F_20160309_1314 { ; 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*(cosh(z)-1)+c1)+1/(d*z*z*sinh(z)+c2)), |z|<100 } -- Mike Frazier www.fracton.org