Fractal of the Day
by Jim Muth

Enter the Rings ©
Jim Muth's fractal image in GIF format (640x480).


FOTD -- May 07, 2003   (Rating 7)

Fractal visionaries and enthusiasts:

I'm quite rushed today, so this one will have to be short.

With today's image we enter the ring territory of the parent fractal for May, thus the name "Enter the Rings".   Today's scene is located in a tiny cut-off area of chaos in the interior of the ring that lies at the tip of the filament extending from the second-largest fragmentary bud at the top of the fan-like element of the parent.   (It's kind of hard to write descriptions of fractals.   They are pictures, and a single picture is worth a thousand words.)

I like today's image enough to rate it at an exceptional 8.   But even this rating leaves considerable room for improvement.   Will we find a fractal with a rating of 9, or maybe even a 10, before the month ends?   Only time will tell.

And speaking of time, today's image uses 5-1/2 minutes of it when it renders from the attached parameter file.   Less time is expended when the finished image is downloaded from:
http://home.att.net/~Paul.N.Lee/FotD/FotD.html
or from:
http://sdboyd.dyndns.org/~sdboyd/fotd/

It did not rain here at Fractal Central on Tuesday, but neither did the sun shine, and the temperature did not rise above 62F 17C.   The dynamic fractal cats took most of the inconvenience in stride however, needing only a small treat of sliced turkey to maintain their good spirits.

Today is starting sunny, but showers are forecast for later.   Who knows what kind of day the duo will have.   My day will be busy, regardless.   Until the next FOTD appears in 24 hours, take care, and strike while the fractal is hot.


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


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

Hairybrot          { ; time=0:09:15.13--SF5 on a p200
  reset=2002 type=formula formulafile=allinone.frm
  formulaname=MandelbrotMix4 function=ident passes=1
  center-mag=-0.02872664355981464/-0.580735855227059\
  2/1.307901e+012/1/-42.5/0.00257131772770670397
  params=3.7/3.5/3.7/5.5/0/0 float=y maxiter=600
  inside=0 logmap=190 mathtolerance=/1 periodicity=10
  colors=000nP8oQ7pR6qS6rT5rU5sV4tW4uX3vY3vZ2w_2x`1y\
  a1zb0zb0tZ1oW2jT3eQ4`N5WK6QH7LE8GB9B8A65B12C67FABH\
  zzUzz_zzBzzCzzDzzEzzFzzGz }

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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