Fractal visionaries and enthusiasts:

After yesterday's blockbuster 9.75-rated fractal, we take it easy today with a harmless image that rates an everyday 7.

The parent fractal came about when on each iteration I subtracted 2.72 parts of Z^(-2.7) from 8.5 parts of Z^(-1.6) and added (1/C).  This parent consists of three large bays lined up along the X-axis, with most of the action in positive territory.  Today's image lies in the detail on the northwest shore line of the central and fanciest bay.

The skeletal effect was achieved by setting the logmap about 30 points too high.  Without this effect, the outer parts of the image consist of irregular shaped disks with which little can be done.

Since both exponents of Z are negative, the image will evaporate if the escape radius is set sufficiently large.  I doubt that this will produce a better image, but there is no harm in trying it to see what happens.

The name "Unchained Numbers" came about when the image gave a fleeting impression of looping chains.  The calculation time of 35 seconds is brief enough to present no time problems.

Today brought clouds and a temperature of 73F 23C to Fractal Central, with heavy rain forecast for tonight.  The fractal cats passed most of the day sleeping in their cat cubes.  Their initial enthusiasm seems to be wearing off.

The humans spent the day simply getting through another day.  The next FOTD will be posted in one or two days, depending on how things work out tomorrow, which is Saturday.  Until whenever, take care, and the existence of unanswerable questions implies a distinct lack of sufficient knowledge.

Jim Muth
jimmuth@earthlink.net


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

Unchained_Numbers  { ; time=0:00:35.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip passes=1
  center-mag=+0.3178677632492826/+0.573514722195365/\
  7.963996e+011/1/119.5/0
  params=8.5/-1.6/-2.72/-2.7/0/100/0/0 float=y
  maxiter=1500 inside=0 logmap=99 periodicity=6
  colors=00000DXHicJgzzdzzzzc_zmYzrVwzTvzQuzUsvcqrmo\
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  cdFcaJbZNbVRaSVaPZcTXeWVgZTiaSf_RdYQbXQ`VPZUOWSOUR\
  NSPMQOMOMLMLLNOQORUOUYPXa }

frm:MandAutoCritInZ {; 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)+(p4)),
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=========================================