Fractal visionaries and enthusiasts:

Today's image is named "Incredibly Lucky", which honestly describes today's minibrot.  With all the potential minibrots in all the possible fractals, what are the chances that this particular one would appear as an FOTD?  But then, with all the possible humans that could possibly ever exist, what are the chances of the unique stream of awareness of any particular individual ever appearing at all?  Yet here the minibrot is, in parameter form, and here you and I are, in bodily form, despite the near impossibility in both cases.  It appears that the minibrot in today's image is as lucky to be found as people are to exist.

On a less philosophical note, today's parent fractal came about when I subtracted a very tiny bit of Z^(33) from Z^2 and added (1/C) on each iteration.  At first glance this parent appears not very promising -- a narrow band of non-critical open areas on the negative X-axis, on the verge of closing and vanishing.  But a closer look reveals a perfect critical minibrot amid the holes, which is full of bands of holes itself.  This minibrot, like all minibrots, has a smaller minibrot on its main spike, which in this case is the negative X-axis.  Today's scene is located in the northern branch of Seahorse Valley of this smaller minibrot.

The rating of a 6 is all I could do for the image, and even this includes a full point for the coloring effort.  I spent almost an hour working on the colors, trying to make something of nothing.

The calculation time of 1-1/4 minutes will pass swiftly.

The un-Christmas weather continued today here at Fractal Central.  It's hard to get the seasonal spirit with green grass covering the lawns.  The temperature dropped back to a slightly more seasonal 45F +7C, but this was still too warm for snow, and the heavy but dry clouds merely added to the gloom.

The fractal cats spent a good time trying to get ornaments off the tree.  Nicholas, a weird cat to day the least, even tried to eat a few needles.  The humans had a day of preparing for the big day, which never has and probably never will live up to our expectations.

The next FOTD will be posted in 24 hours.  Until then, take care, and if we pay attention to all the bad things that happened in the past, we will miss all the good things.

Jim Muth
jimmuth@earthlink.net


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

Incredibly_Lucky   { ; time=0:01:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip float=y
  center-mag=-1.147629337664576/+0.00020756624103041\
  /4.744466e+007/1/-117.5/0 params=1/2/-1e-008/33/0/\
  0/0/0 maxiter=340 inside=0 logmap=83 periodicity=6
  colors=00000000000300520950F70K20P00U00c00zz_tzZsy\
  Yrpaoqittrwwwywyzszzozzjzzdzz`zzVzzSzzWzzZzz_zz`rt\
  akkZccSXXNSSLXXLQSYMOeHKlCGoEGrGIzKKzSIzZHzUGmPFjE\
  DdEBfGAeH9cJ8aK7YK5XM4UO3SQ2ei9QS2DD8ABG89aGGytj`p\
  cVnZSkUPkSNiMKfHHfEEc7Aa68X4Ga67c77f88i99kDAnJBpPC\
  tWDwaGyhJypLwpOwrSwrUwsYwuawucwwhwwkxypzzvzzxzzzzz\
  zzzzzzzzzzyyynnncccUUUPPPFKNBNS9PU4SX5UZ7Yc8af9diA\
  fkGmyLtzMwzIozKdiXXXc_UzePzeMzgTzeanbecXchawifzddz\
  a_zSPkIEP968B20B00900901908D0IG3UM9iSFwWKzQCpM8aID\
  NDDDMSDQf8QXBOPGSQNUTTXOUaJZdFfhDnZGYUORNMHMS8HN0E\
  L09G06D0AS2Dc7zdrzdtzemcccPPPHXN7cJ9iI0JL7DcHHzMMz\
  00000010DLBXhXpzuzzzz00NMMzOQzZhzlxzzzzdkkNSf56Z44\
  X54X93UE3UI0IU3Gi9GwFGzLLzMMzQMzXMzcKzjKyqLziWzecz\
  TczHdzHkzbzzdzwdzndzebzTYyFStBQn9PiACXL0LtDRzMUzMW\
  zJTtDOi9KZ6GN6CD8A555B9BHALOCUVEc`HnhJyoLztMzMhyMz\
  r4SX5LZ8GZFCZJ5ZQ5ZX5ZZ5W }

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