Fractal of the Day
by Jim Muth

An Unfolding Midget ©
Jim Muth's fractal image in GIF format (640x480).


Classic FOTD -- June 22, 2001   (Rating 6)

Fractal visionaries and enthusiasts:

The render-time difference between my machine and Paul's is curious.   I would have expected his machine to finish the rendering in perhaps half the time, but 1/4 and 1/5 the time just doesn't make sense.   To account for the discrepancy, I have checked and found that a clean boot into DOS almost doubles the speed of my machine, thereby eliminating much of the difference, but only when I am using type=mandel.   The clean boot makes no difference when I am using type=formula.   There must be speed-up code in type=mandel, which is effective only with no remnants of windows running in the background.   To eliminate the problem, I'll run Fractint from a clean boot when I use the built-in mandel formula.

For today, the first full day of summer in all but the western-most time zones of the northern hemisphere, where yesterday was the first full day, we have a fractal midget caught in the act of unfolding.   I naturally named the image "An Unfolding Midget".   The image is a little above average, qualifying it for a rating of 6.

The the formula 3.15(Z^(-0.5))+315(Z^(-5))+(1/C) created the parent fractal, which consists of an ocean with numerous bays.   Today's midget lies on the eastern shore of the eastern-most bay.

Unlike the recent images, which required much patience, today's image renders in under 9 minutes, even on my tired old machine.   And if 9 minutes still calls for too much patience, the GIF image will soon be available on the internet at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
and at:
http://sdboyd.dyndns.org/~sdboyd/fotd/

The fractal weather today was typically hot and sultry, with the typical haze and evening thunder-shower.   The rain and temperature of 87F (30.5C) were accepted by the cats, mostly because they had no choice.

The June 20 issue of the "USA Today" newspaper has my philosophical muses stirring.   On page 1-A is an article about artificial intelligence; on page 1-D is an article about communicating with the dead.   The AI article concludes that we may never know whether AI computers can feel real emotion, etc.   The spirit communication article gives both sides their say and comes to no conclusion, though the skeptics as always present the more rational case.   Not being bound by the need to defend reason, I consider the case totally open.

I've got to get busy now, so I guess it's time to shut down the fractal stuff and power up the other stuff.   Until next FOTD, take care, and keep a fractal as a pet.


Jim Muth
jamth@mindspring.com


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

An_UnfoldingMidget { ; time=0:08:56.46--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+0.911162072257/+0.0710155030211/46512.\
  3/1/177.5 params=0.05/-0.5/5/-5/63/800 float=y
  maxiter=1200 inside=0 logmap=80 periodicity=10
  colors=000kdzWdzWdzWczWczWbzWbzWazWazW`zW`zW_zW_zW\
  ZzWZyV_xTZwSXvQZsPXrOXpMWoLVrJWtHSwGPyFPzBJz7Oz59z\
  3Mz10z0Kz00z0Jzo3z0Ixe3z0Hv00z0Dv00w0Gs00s00r00o00\
  n00l00j00i00f00e00d00a00_00Z01X01W01W01V13T33T53S5\
  3S75Q95PB5PA5OA7MA7MA7LA7LA9JA9HA9HAAGABFAEFABCAGC\
  AFGHIJLHMJLPHMQGOTFPWCSZBT_9Vb7We5Zg3_j1ak0dn0ep0f\
  s0gt0jw0ky0lz0nz0iv0eo0ai0Xb0TW0PO0LG0G70B00503J5B\
  TJHbVOkeTtoZzybywevtisrkopolnrikveixbgzZezWbzS_zPZ\
  zQXzQXzSXzSWzTWzTWxTVwVVvVVsWVrWTpWTnXTlXSkZSiZSg_\
  Sf_Qd_QbaQaaPZbPXbPWbPVeSTgTTjVSlXSoZQr_QtbPwdPxeS\
  tdTrdVobXkbZib_faadad__eX_fV_iQZjOZkLXlHXoCXp9Wr5W\
  s1Wv1Xw1Zx1_z1az1bz1dz1ez1fz1gz1iz1iz5jz9jzCjzGjxJ\
  kvMksPkpSknVlkXlj_lgbleenbgn_jnXlnVooSroPtoMwoLyoO\
  znPznSznTzlWzlXzl_zkazkdzkezjfzjgzjizijzikzilzgnzg\
  ozgpzfrzfszftzfvzewzexzdyzdzzCzzJzzOzzTzzXzz_zzazz\
  bzzdzzfzzgzzizzjzzlzznzzo
  }

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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