In a prior post called Mixing Cosines I substituted a cosine term instead of the usual z to a power in the parallel resistor formula. The cosine added intricate detail to the fractal but if you looked around with this equation you probably noticed there were only z ^ 2 power minibrots in the fractal. Is it possible to increase the order of the minibrots without losing the intricate detail of the cosine? Here is a link to a web page with an image and a formula that attempts to do that:
The PAR file for the image is:
CosinesOfThree { ; Exported from Fracton.
reset=2004 type=formula formulafile=fracton.frm
formulaname=F_20121102_1610 passes=1 float=y
center-mag=-0.3806336003340345/-3.816249585923092e\
-14/53333334000/1/0/0
params=-1/1/0/4/-1/0/1/0/0/0 maxiter=2000
inside=0 periodicity=6
colors=000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O\
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0zy0ym0ua0oS0hI0ZA0O40C10 }
frm:F_20121102_1610 {
; 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)+c1)+1/(d*(z^f)+c2)),
|z|<100
}
--
Mike Frazier
www.fracton.org