Fractal of the Day
by Jim Muth

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


FOTD -- December 08, 2001   (Rating 5)

Fractal visionaries and enthusiasts:

Now that we've safely weathered the impending Fractint backward incompatibility crisis, it's time for the ubiquitous FOTD.   Due to the holiday decorating that must be done today, I have little time for a lengthy discussion, and the fractal itself rates only a 5, but the image is still worth at least a quick glance.

The parent fractal, which combines portions of Z^(-1.87) and Z^(-18.7), is indescribable, as nearly all fractals are.   One of its features is a prominent bud cut off by a single-and-double valley.   Today's scene is located at the edge of one branch of the double half of the valley.

I used the <fmod> coloring option on both the inside and outside of today's image.   The resulting terraced effect is impressive around the fringes of the image, but closer to the midget the terraces break down into a not-very-attractive area of chaos.   This chaos can be reduced but not eliminated by rendering at a higher resolution than the standard 640x480.

Unable to think of a descriptive name, I settled on "Fractal Saturday", which like a name such as "Symphony No. 25", merely catalogs the image.   (Of course, the comparison is not exact.   Creating a symphony requires much more effort than finding a fractal.)

The 11-minute render time is a bit too slow for a merely average image.   In today's case, the wiser choice is to download the completed GIF image from:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
or from:
http://sdboyd.dyndns.org/~sdboyd/fotd/

The fractal weather Friday was a big come-down from the day before.   Cloudy skies and a temperature of 63F 17C are not ideal for cats, especially when combined with a chilly north breeze.   Meeting with such imperfect conditions beyond the first door, the cats checked every other door, found the same conditions beyond all doors, then spent the day indoors, sulking.   It took a treat of tuna to lighten their sullen spirits.   And BTW, don't be surprised if the dynamic cat duo have their pictures posted in the not-too-distant future.

Well, today is the day to begin the holiday decorations here at Fractal Central.   And that's what I'm just about ready to do.   Until next time, take care, and fractals are the art of God.


Jim Muth
jamth@mindspring.com


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

A_Raspy_Old_Midget { ; time=0:11:41.29--SF5 on a P200
  reset=2001 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=recip passes=1
  center-mag=+1.77096187026955700/-2.487403802992336\
  00/3.864825e+009/1/92.499/0.003
  params=-5/-1.15/-0.02/-11.5/0/0 float=y
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  CAzC8zC7zE5zE3zE1zG0zG0zG
  }

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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