Fractal visionaries and enthusiasts:

The parent fractal of today's image came about when I combined (1/Z) with 1/2 part of Z^(1.3) and added C.  I will not attempt to describe this parent fractal, which may quickly and easily be reproduced.  Today's scene is located on a side filament of the tiny negative stem of its parent.

Though I put almost no effort into the image, it still earns a rating of a 7.  It also seems worth a name, so I gave it the name, "A Squared Square."  The reason for the name will be immediately apparent when the image is seen.

The insignificant render time of 54 seconds on my 10-year-old machine will become even more insignificant on a newer unit.

Continued routine winter weather limited the cats' outdoor time to under one hour here at Old Fractal Central on Thursday.  The heavy work limited my free time to under one hour also.  The next FOTD has an 87-1/2 percent chance of being posted in 24 hours.  Until then, take care, and be at ease.

Jim Muth
jamth@mindspring.com
jimmuth@aol.com


START PARAMETER FILE=======================================

A_Squared_Square   { ; time=0:00:54.32--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident
  center-mag=-1.23418273295020500/+0.031146616623795\
  07/12899.22/1/160/-1.29940921564375422e-008
  params=1/-1/0.5/1.3/0/0 float=y maxiter=400
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  jaGhbGgdHfeHeGwCFx8Ex4Hr8 }

frm:MandelbrotMix4 {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

END PARAMETER FILE=========================================