Fractal of the Day
by Jim Muth

FOTD for 12-07-06 ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- July 12, 2006   (Rating 6)

Fractal visionaries and enthusiasts:

I was rather busy on Tuesday, which explains the lateness and briefness of today's image.   I'm trying to get things wrapped up so we can take a short vacation in a few days.   I deserve some time off.   I think it has been 4 years since the last vacation.

Today's image takes the fractal that results when 33 parts of Z^(-1.6) are subtracted from 33 parts of Z^(-1.5), and finds a promising scene with a quadratic midget in it.   It then evaporates the scene and renders the resulting blank screen with the outside set to 'bof61'.   The resulting image rates a 6, (in my opinion at least).   I do not think the image deserves a name.

The render time of 8 minutes is well within reason for an image with a maxiter of 1000 that consists entirely of trapped points.   But to make things even more convenient, the completed GIF image will soon be available on the FOTD web site at:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html

Hazy, warm and muggy weather continued here at Fractal Central on Tuesday.   The fractal cats, who continued acting like kittens, were notably unconcerned with the weather.   They were more concerned with chasing the large fly that got into the house.   Cassie, the more agile one, finally caught the fly and ate it.   Only one lamp was knocked over in the chase.

The next FOTD will be posted in 24 hours.   After that, things become uncertain.   Fractal lady and I are thinking of shutting things down for a week or so and taking a long-overdue vacation to places yet to be determined.   BTW, I have purchased a camera to take on any vacation that might happen, so look for pictures of both the old and new fractal cats in the near future.   I'll keep the lists updated as things develop.   Until tomorrow, take care, and expect only good things to happen.   (Note that there is no guarantee of this however.)


Jim Muth
jamth@mindspring.com
jimmuth@aol.com

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

FOTD_for_12-07-06  { ; time=0:08:08.73--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=-2.04543695952101400/+6.081215273327160\
  00/1.465198e+010/1/-170.037777445871626/0.12171155\
  712177445 params=33/-1.5/-33/-1.6/0/1e+100 float=y
  maxiter=1000 inside=bof61 periodicity=10
  colors=000sS`sUVrWPrZJr`Drb7nW5kP3gI1dB0bF2aI4_L6Z\
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  M_hU_u`mlUloUp_ftKrsNlsPf }

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 PARAMETER FILE=========================================


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