Fractal of the Day
by Jim Muth

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


Classic FOTD -- November 25, 2000   (Rating 6)

Fractal visionaries and enthusiasts:

Today's fractal reminds me of a cross section of the sun, with its churning plasmas and magnetic fields.   This is why I named it "Heliosphere".   Studying the image, I considered rating it a 7, but due to my continuing down mood, I rated it a 6, which is above average but not outstanding.

The image was created by iterating the fractal formula -15Z^(-1.15)-Z^(-11.5)+(1/C), with the escape radius set at 600.   These are the same parameters as those of yesterday's "Liquid" fractal, and today's image is therefore part of the same fractal as yesterday's.

The parameter file render time of 14-plus minutes is faster than yesterday's, but still slow enough to make the easy download the better choice.   That download may be found on Usenet, posted to the binary group:
alt.binaries.pictures.fractals
In an hour or so, the image will also be available on Paul Lee's web site at the URL:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html

The weather today here at Fractal Central moderated from the unseasonable cold that has prevailed most of this week.   The temperature of 40 however was still far too chilly for the dynamic duo of fractal cats, who chose to pass the afternoon on their blanket by the big radiator.   At least the cats were happy.

As for me, I'm still in my melancholy mood, which affects my literary inspiration much more than my fractal luck.   Strangely enough, I'm not sure why I'm so unsettled.   The doldrums may wear off by tomorrow, though I'm not counting on it.

Regardless, I'll return in 24 hours with another fractal, and if I have no philosophy, I'll have at least a few words about the fractal.   Until then, take care, and be of good cheer.


Jim Muth
jamth@mindspring.com


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

Heliosphere        { ; time=0:14:13.55 -- SF5 on a P200
  reset=2001 type=formula formulafile=critical.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+0.4654990346770224/-3.884180985250454/61\
  65647/1/29.999 params=15/-1.15/1/-11.5/-2/500 float=y
  maxiter=3600 inside=0 logmap=227 periodicity=10
  colors=000000000000<3>0000000000000000000200400840AA\
  0EE2GH6JNALREPXHR`LVdPXiT`mVboL`qPZr<2>`RudPqgRokVko\
  Xgs`dvb`zc_<3>ohWliVijU<2>`mR<2>PsXLuZHvZEx`Azb6zd2z\
  e0zg0zi0zk0zk0zg0ze0zd4zb8z`CxX<2>PsRTqPXoL<3>kgEdeC\
  ZdARbAL`8EZ68X60V40T20R20T00V00X04X08Z0C`0E`0GV6HPGH\
  LPJG`LAiL6sN0zP0zP0zV0z<3>i0zm0zq0xu0ux0qz0mz0iz0ez0\
  bz0`<2>z0kv6oqGskNvgXzbdzXmzTuzNzzHzzEzzGzzHzzHzzJzz\
  JuzLqvLksNgoNdkCTe0Jb08Z00V0CP8NLNZHbkEqvAzz6zzEzzJz\
  zPzzXzzbzzgzzozwuzszzmzzmzzAzzAzxAzsismmigs`bxTXzJRz\
  ALz2Gz0Az0Cz0Ez0Ez6GzCGzJHzPHzXJzbJziLzoLzuZiviNvv0x\
  z0xz0qx0iu0b<3>dV8`b0Xi0Tq0Px0Lz0Nz0Pz0Pz0Rz0Tz0Tz0V\
  z0Vz0Pz4JzCGzLAzT6zb0zi0zs0zz<2>0zz0zz0zx<2>0zN6zJEz\
  HLzGTzE`zA<2>vz4zzzqzzgzzZzoPzd<2>0z60z0<2>0z00z60zN\
  4zdLzNbz8dzA<4>mzAozAqzC0zA0z8
  }

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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