Fractal visionaries and enthusiasts:

We're on a roll.  Despite its somber colors, today's image rates another 8, and it was created by the warhorse MandAutoCritInZ formula.

The parent fractal came about when I combined 0.25 part of Z^(2) with 4 parts of Z^(-5) and added straight (C) on each iteration.  This parent appears as the rough outline of an oversized Mandelbrot set, with large irregular-shaped open areas where Seahorse Valley would be expected, and a minibrot at the spot where the large main-spike minibrot would be expected.  Most of the main bay area is filled in with debris, but a small, somewhat distorted Mandeloid lies in the area of East Valley, with the East Valley of this small Mandeloid merging with the East Valley of the entire outline.  Today's scene lies in the interior of this valley.

I named the image "Circular Square" because the brighter area surrounding the central minibrot appears to be a square starting to change into a circle.

The calculation time of 1-3/4 minutes is brief enough to avoid all risk of impatience.  The FOTD web sites will bring the risk even lower, but there is still that parameter file to be run.

Heavy clouds and steady rain made today a total loss here at Fractal Central.  The temperature of 64F 18C was pleasant enough at least for those who enjoy rain.  The fractal cats, who enjoy staying dry indoors, had nothing to complain about.

The humans had little to complain about with the weather, since we had nothing to do outdoors.  The local farmers, who have been praying for rain, were equally satisfied.  The next FOTD will soon be posted, though no specific time is implied.  Until then, take care, and maybe it would be easier to solve our racial and ethnic problems if certain news outlets would stop focusing on every remaining unsolved problem and start focusing on the great progress that has been made.  Accentuating the positive aspects of a troublesome situation has great power to blunt the impact of the negative aspects.

Jim Muth
jimmuth@earthlink.net


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

Circular_Square    { ; time=0:01:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=+0.9314351868225982/-0.0025768898778729\
  /4.72819e+008/1/-122.5/0 params=0.25/2/4/-5/0/0/0/0
  float=y maxiter=1500 inside=0 logmap=124
  colors=000GHQFGODFNCELBCJABH9AF88D67B5694573352231\
  1100000000000000000000000000000000500A30F55KFFPPPU\
  ccZkkornosqottouwovyorvpotpkqqhoqemqajrdirWczSZnPS\
  iMLdNNdNUeO_fOfbPgZPiVPjRMgSJdTHbUE_VCYW9VX7TY4QZ2\
  OZ4Na6Nd8NfANiCNkENnGNpNTmTYjZYheKegKbhK`XKlK2cK5U\
  H7RH9PNBZPDcSFjVHhXJf_LdaNbdP`fRZg74fBIfEVeHgeKthN\
  ukQunTuqWutZuv`urcroeolhlhjielgbodZqaWtZTvWQxUVjW_\
  XXdJYh6Zh6Yh6YdET`MOXTJU`FQgAMo5Jv1Lu3Mu5zt6zt8zzA\
  zzczzczzhzzmzzzzzzzzzzzz_pP`pQYkNVfKSaHQYERVIRSLRP\
  ORNRRKURHXRF_RCbR9eR7hSAjTDkUGmVJnWMoXPqYSrYUs4i`J\
  PXlIAlH8lH7lG5lF4lF2lE1gE0fD0cD0dD0mD0lC0kC0jC0jC0\
  iB0hB0gB0fB0eA0eA0dA0hA0hA0i90k90c90c9Kc8Kc8Kc8Kc8\
  Kc7Kc7Km7Km7Km6Km6Km6cm6cm5cm5czKczKczKczKczKczPcz\
  PczPczUczUczUczUczUczUczUczUczcmzcmzcmzcmzcmzcmzcm\
  zcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzc\
  mzcmzcmzcmzcmzcmzcmzcmzcm }

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