Fractal visionaries and enthusiasts:

We start the sixteenth year of the FOTD with an image a full point better than the one that appeared yesterday on the final day of last year.  But a rating of a 7 is still a rating of a 7, and today's image leaves plenty room for improvement.  Luckily, there are 365 days remaining in this leap year to realize that improvement.

The parent fractal resulted when I combined 1.2 negative parts of Z^(-4.4) with 2.2 negative parts of Z^(-1.4) on each iteration before adding (1/C).  This parent consists of a circular main bay surrounded by Mandelbrot buds except on its southwest side, where it is severely eroded.  Today's scene lies in the north branch of the valley cutting off a large bud on the west side of the bay.

The name "Generating Colors" came to mind when I was struck by the thought that fractals in themselves have no colors.  The colors are added by an outside agent, in this case the human fractalists who work with fractals.  This corresponds quite well to the 'real' world supposedly 'out there', where the objects themselves have no colors.  The colors of the 'real' world are sensations in the mind produced by light waves of various frequencies.

The rating of a 7 and a calculation time of 4-2/3 minutes combine to make today's image not much of a bargain.

A sunny morning here at Fractal Central on the first day of the new year was followed by afternoon clouds and showers.  The temperature of 52F +6C was mild enough, though the brisk wind kept it from feeling as warm as it might have.  The fractal cats seemed undecided, alternating between the window shelf and the shelf by the heat.

The humans had an uneventful day today after an active day yesterday.  The next FOTD will be posted in 24 hours.  It might be better, it might be worse.  Until then, take care, and the more we determine about reality, the less real it seems.  Maybe the philosophy of Secular Materialism is past its peak.

Jim Muth
jimmuth@earthlink.net


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

Generating_Colors  { ; time=0:04:40.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip float=y
  center-mag=-0.791355305708/+1.621547195972/\
  2952823/1/50/0 params=-1.2/-4.4/-2.2/-1.4/0/0/0/0
  maxiter=4900 inside=0 logmap=550 periodicity=6
  colors=000F0QF0RF0SF0TF0UG0VH0WI0XK0YL0ZL0_K0`K0aJ\
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  RKiNMhJLdILaHLYGLVFULHaBIYCGVDERECOFAKG8HG7LMBORFS\
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  mz`mzXmzTzzPzzLzzHzzNzzTzzZzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

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=========================================