Here is a fractal I have been using to test improvements to Fracton's 3D Model Export. I switched from a grid based approach to a more sophisticated algorithm that searches for the edges of the fractal. Here is a quick loading web page with a few pictures and a short QuickTime movie that flies through the fractal.

If you would like to view the fractal in FractInt, here is the parameter file. The complex parameter p1 is the exponent.

halley_jjp { ; Exported from Fracton.

 reset=2004 type=formula formulafile=fracton.frm

 formulaname=F_20101016_1116 passes=1 float=y

 center-mag=0.4115234375000001/0.002148437499999963\

 /0.8533333439999999/1/-90/0

 params=7/0/0/0/0/0/0/0/0/0 maxiter=100

 proximity=0

 colors=UzJ<2>znP<1>B`3<4>H1C<3>i6X<2>znP<237>znP }

frm:F_20101016_1116 {

; Type: Halley

; From Computers, Pattern, Chaos, and Beauty by Clifford Pickover

; See p277 for a related image and formula derivation

; Formula and par by Mike Frazier, public domain

z=pixel:

lz=z,

f=z^(p1+1)-z,; Function z(z^p1-1)

f1=(p1+1)*z^p1-1,; First derivative

f2=(p1+1)*p1*z^(p1-1),; Second derivative

z=z-2*f*f1/(2*f1*f1-f2*f),

abs(|z|-|lz|)>=0.01

}