Fractal of the Day
by Jim Muth

Blizzard Minibrot ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- November 09, 2001   (Rating 9)

Fractal visionaries and enthusiasts:

A 9-rated image on the 9th day of the month!

FOTD images with a rating of 9 are rare events, but today we have a true example of one.   This one was found in the fractal that results when a very specific amount of Z is subtracted from an equally specific amount of 1/Z.

The unusual specificity of course is caused by the fact that the real p1 and real p2 parameters were set at random by the evolver feature.   I usually truncate such long number strings at the ground level, but today I forgot.

The name "Blizzard Minibrot" came from the resemblance of the image to an 8-sided snowflake against a soft blue background.   We'll ignore the fact that due to the atomic structure of water, snowflakes have only 6 sides.

An extra benefit lies in the render time, which at 10 minutes is slow enough to give ample anticipation, yet fast enough to avoid impatience.   The image can also be seen by downloading it from:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
or from:
http://sdboyd.dyndns.org/~sdboyd/fotd/
though this way misses the fun of doing it yourself.

The fractal weather today here at Fractal Central was quite enjoyable, especially for the cats, who spent several afternoon hours chasing the sun and enjoying the temperature of 68F 20C.

The time has now come to tend to other things, but I'll be back in less than 24 hours with another fractal, which will hopefully rate another nine.   Until then, take care, and other than prophets, who knows what the future holds?


Jim Muth
jamth@mindspring.com


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

Blizzard_Minibrot  { ; time=0:10:40.38--SF5 on a P200
  reset=2002 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+0.00004242352864996/-0.234211743626533\
  70/3.643567e+010/1/-27.5006985870952505/0.00049043\
  9805108038029 params=-1.047364116336558/1/2.250216\
  986602374/-1/0/300 float=y
  maxiter=1200 inside=0 logmap=213
  colors=000A0HA0IA0JA0KA1LA2MA3NA4OA5PA6QA7RA8SA9TA\
  AUABVACWACXACYADZAD_AD`AEaAEaAEbAFc9Fd7Fd9HeAJfCKg\
  DMgFOhGPiIRjJTjLUkMWlOYmPZmR`nSaoUcpVepXfqYhr_js`k\
  sbmtcouepvfrvhtwiuxkwylxyfuw`suVqsQoqKmoEkm8ik3gj5\
  fg6fe8ec9eaAdZCdXDdVEcTGcRHbOIbMKaKLaIMaGIYFEUFBRE\
  7NE3JD0GD4HN8IXCJeGKoIKzJLxJLwKLuKMtLMsLMqMNpMNoMN\
  mNNlNOjOOiOOhPPfPPeQPdQQbQQaRQ_RQZSRYSRWTRVTSUUSSU\
  SRUSQVRRWQRWPRXORYNRYMRZMR_LR_KS`JSaISaHSbHSbGScFS\
  dESdDTeCThCTkBTnATq9Tt8Tw7Tz5Sz7Tz9UwAVtCWqDXoFYlH\
  YiIZfK_cL`cNacPbcQccScZTdUVePXfKYgF_hAbg5`h3_h3Zi3\
  Yi3Wj3Vj3Uk3Tk3Rl3Ql3Pm3Om3Nn3Ln3Ko3Jo3Ip3Gp3Fq3Eq\
  3Er3Gr3Is3Ks3Mt2Ov3Qt3Ss3Tr3Uq3Vp4Wn4Xm4Yl4Zk4Zj5Z\
  h5Zg5Zf5Ze5Zd1_b5`c8acBbcEccHdcKecNfcQgcUhcXic_jcb\
  kcelchmckocnqcqsasu_uwawxcyzeszgmzigzkazmWznRzoSzp\
  TzqUzrVzsVztWzuXzvYzwYzxZzv_zz`zz`zzazzbzzczzhzzcz\
  z_zzWzzSzzOzzKzzGzzXzzZzz
  }

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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