Fractal of the Day
by Jim Muth

Fractal Saturday ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- July 20, 2002   (Rating 5)

Fractal visionaries and enthusiasts:

Yes, I know that the FOTD is late, and I know that it's not the all-time best, but I have an alibi -- a power failure that struck in the middle of a non-FOTD rush job that was already giving me a hard time.   Then, to add to the disruption, seeing how the power had failed just when I needed it most, I lost my fractal temper, which helped the situation not the slightest.

Luckily, the storm that caused the interruption covered only the local area, and the lights were back on within two hours, but the damage to the work flow had already been done, and my mood remained foul for the rest of the day.   But being angry while working at a computer makes one prone to errors.   Hopefully, I made none, and the customer, who got his job only 1/2 hour late, will never know that his job gave such trouble.

And yes, there is a better-late-than-never fractal for today.   Being able to think of nothing better, I named it "Fractal Saturday" and rated it a nominal 5.   The image mixes 0.7 parts of Z^(-1.5) with twice as much Z^0.8765 before adding 1/C.   It might be the fastest-found FOTD image of all time.   I found the scene in under 2 minutes and colored it in an equally short time.   Actually, considering the haste with which the image was created, the rating of 5 is not so bad.

The render time of under 5 minutes is also not so bad, but the download time of the GIF image file is even better.   The download may be found at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
and:
http://sdboyd.dyndns.org/~sdboyd/fotd/

The fractal weather Friday featured a muggy day with a high temperature of 91F 33C and a localized but intense thunder-storm in the afternoon, which struck the area with torrential rain and spectacular lightning, doused the fractal lights and sent the fractal cats scurrying for the most secure cover they could find behind the cartons in the basement storage area.   Luckily for the dynamic duo, the flooding problem down there has been pretty much solved, and they came out a couple hours later, cautious but dry and unharmed.

And barring another power failure, I'll return on schedule this Monday with the next FOTD, new and improved for your viewing pleasure.   Until then, take care, and who knows what goodies lurk in the heart of the future.


Jim Muth
jamth@mindspring.com


START 20.0 PAR-FORMULA FILE================================

Fractal_Saturday   { ; time=0:04:16.01--SF5 on a P200
  reset=2002 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=b
  center-mag=-1.17085298919225900/+0.232302495487533\
  20/2.607014e+007/1/-42.5/8.15006835977460931e-008
  params=0.7/-1.5/1.4/0.8765/0/-75 float=y
  maxiter=1150 inside=255 logmap=145 periodicity=10
  colors=00009e0Gi0Ll0Nm0Nk0Li0Ig0Ge0Gb0E`5CZ99ZG9XL\
  7VR5RZ3Pb1Ni1Ln0Lu0IzNGzREzTCzU9zV7zW7zW9zXCzYEzWE\
  ySGuMIn9IiELbGNZINVORNQTISULUVNWXNZZPa`PdbRgeRjgVm\
  iVoiXpnZrp`trbuubuweuzgvziwzkyzkyznyzpzzrzzuzzuzzw\
  zzyzzzzzzzzzzzzzzzwzzuzzpzznzzizzezzbzzZyzXuzRpzPn\
  zLizGezE`z9Xz7Rz3Pz0Lz0Gz0Cz07z03z01z03z05z05z07z0\
  9z09z0Cz0Ez0Ez0Gz0Iy0Iu0Lr0Np0Nk0Pi0Rg0Rb0V`0XZ0XV\
  0ZR0`P0`R0XV0RX0NZ0I`0E`09b05e01g00i00i00k00n00p00\
  r00r00k00e00Z00R00L00E007501900E00L00k00r00z00k10P\
  35P7CN9LNERNIZLLeLPkIRrIXzI`zGbzGgzEizEnzEpzCkz9iz\
  9gz7ez5bz5`z9eyEiwInuNprRupXyn`zkeziizgnzerzbwz`zz\
  ZzzXzzXzzPzzLrzGgzCZz7Nz1Cz03z00z00z00z0Ny0zw3zz9z\
  zGwzNpzXkzbgzi`zpXzwRzpXzkZzg`zbbzZezVgzNizIkzEnz9\
  pz5rz1uz0wz0yz0zz0zz0zz0zz0zz0zz`zNkznwzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzwzzuzzpzznzzizzgzzbzz\
  `zzZzzVzzRzzNzzLzzGwzE000 }

frm:MandelbrotMix4 {; 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,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

END 20.0 PAR-FORMULA FILE==================================


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