Fractal visionaries and enthusiasts:  

Today's FOTD image shows one of the infinity of things that happen when Z^(1.3) is subtracted from Z^(1.2) and straight C is added on each iteration.  This unlikely combination creates a grossly oversized parent fractal resembling a Mandelbrot set rotated 180 degrees with flippers on the west side of its main bay.  Today's image lies in the East Valley of a twisted minibrot on a filament extending from the southwest flipper.

I named the image "The Mysterious East" even though it lies on the west side of its parent.

The art rating of an 8 reflects the extra effort I put into the coloring.  The math rating of a 7 says little about the math aspect, which by this time is totally familiar.

The down side of the image is its slow calculation time, which at 6 minutes will give impatience a chance to arise and might even cause a fractalist to decide not to do the calculation at all, thereby missing the pleasure of viewing the image.  But luckily, the web sites are always there to restore pleasure.

The day dawned with 1 foot, or 12 inches, or 30cm (make your choice) of fresh snow on the ground here at Fractal Central.  After being fortified with hot coffee, the fractal he-man cleared the snow from the sidewalk, while the fractal cats watched from the window.  The high temperature of 37F +3C took care of the patches the he-man missed.

The next FOTD will be posted in 24 hours, but this is no guarantee.  So until whenever, take care, and claiming that there is no answer to the question of the meaning of life does not make the need for an answer any less urgent.

Jim Muth
jimmuth@earthlink.net


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

TheMysterious_East { ; time=0:06:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident float=y
  center-mag=-24.05351569280277/-43.55790391067416/\
  1.961119e+010/1/-110/0 params=1/1.2/-1/1.3/0/15000\
  /0/0 maxiter=5200 inside=0 logmap=630 periodicity=6
  colors=000000000100201302403514625736847958A69B7AC\
  8BD9CFADIBEKDFOEHSGIWHJ_IKbIMeJOgJPiJRjLQkNQlPQmRQ\
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  3rr2vi8naDfUKZMFREAJ65CE5BMABUKBaDBi8Bp3Bm7JjARgDZ\
  dGfaJmddTegVeiWekXfmZfo_fq`hoZinYkmXllWnjVoiUqhTrg\
  SphXni`ljekjiiknglrflv`hsWepRamMZkGWhBSe6Pb1M`AWeI\
  djRnoZwtYssXorWkrVgqUcpT_pSWoRToQRiPQcOPYNNSMKMLIG\
  KGAKD4IF8HIBGKFEJIDKMCMPHOPMMPRFPW8PP5bJ2pIDVHMAFQ\
  6DU3IULVX3UX2UX4UX6UZ8da9hbBmiDmhEmjUzbizmxzdhzznu\
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  aV4dW6hW8kYAnZCq`EtaFwbKzcPvcUrdYzd_zeazeczedzdezc\
  fzbgzahz`iz_jzZkzYlzZmzZnzZozZpzYqzYrzYszYtzXuzXvz\
  XwzXxzWyzWzzVzzVzzUzzUzzUzzazzhzzozzmzzlzzkzzjzzhz\
  zgzzfzzezzbzz`zzZzzXzzVzz }

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