Fractal of the Day
by Jim Muth

Dog-Bone (#2) ©
Jim Muth's fractal image in GIF format (640x480).

FOTD -- March 31, 2005   (Rating 5)

Fractal visionaries and enthusiasts:

After an image that takes 3 days to finish, one that finishes in under 8 minutes is a pleasure indeed.   Today's rather harmless diversion with the MandelbrotMix4 formula takes us to the fractal that results when portions of Z^(-9.87) and Z^(-0.654) are combined and (1/C) is added.

The parent fractal is a large non-critical, double-lobed open area with a large off-screen arc of chaos on its west side.   A rather large midget appears in this chaotic area.   Today's scene lies quite deep in the East Valley area of this midget -- not particularly deep into the valley itself, but deep in magnitude.

I named the image "Dog-Bone" (#2).   From a distance, it does rather resemble a bone that might have been chewed on by a dog.   The rating of a 5 is about all I could do for the image, which is almost entirely an intentional artifact of the coloring.

The 8-minute image will require little computer time to render.   Those whose computers are still in the process of rendering yesterday's incredibly slow image will prefer to interrupt that rendering long enough to download the completed GIF file of today's image from the FOTD web site at:
I hear from the news on the fractal radio that the animated body of one who effectively died many years ago has finally just now ceased functioning.   The media circus will continue for a few more days and then, as viewers grow bored, slowly come to an end.   But even with all the coverage, no one has yet seriously addressed the questions that are on everyone's mind, questions that the media seems almost afraid to raise, questions such as exactly what happens to the conscious awareness when the brain dies.   That these most important things should remain a mystery is IMO the greatest failure of our present materialistic and totally impotent variety of 'science', which would try to hide its impotence by labeling those like myself as wishful dreamers who refuse to face reality.

As should be obvious, I am leading up to an eruption of fractal philosophy, which will appear in a few days on the Philofractal list.

A sunny day Wednesday, with light winds and a temperature of 63F 17C, kept the fractal cats occupied with the outdoor life.   Not much excitement happened however, and they ended the day's venture with a treat of tuna.   This morning has brought increasing cloudiness, with rain promised by day's end.   Hopefully the duo will have ended their journey by the time the rain arrives.

My journey in fractal land will never end however . . . unless we run out of fractals that is.   Until next FOTD, take care, and life is just a bocci ball.

Jim Muth

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

Dog-Bone-2         { ; time=0:07:53.74--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  params=-3.5/-9.87/-1.3/-0.654/0/800 maxiter=1000
  float=y inside=0 periodicity=10 mathtolerance=/1
  0ub2pd3kf4fh5bj6WcG`mePnY }

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| < l }

END PARAMETER FILE=========================================

Want to view, create, or know more about fractals?

Go to Paul's Fractal Links webpage,
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