Fractal visionaries and enthusiasts:

Today's image came about when I took a second look at the parent fractal that results when various portions of negative 1.5 and negative 5 are combined and (1/C) is added.   Like most fractals that combine negative exponents, this parent is beyond description, though it is quite simple to reproduce.

I chose to investigate a tiny valley on the northwest shore line of the southernmost large bay, which appears to have the best developed Mandelbrot characteristics.   In a matter of minutes I found a minibrot very near the limit of resolution, which became today's FOTD.

I named the image "Elusive Flutterby" when for some reason it reminded me of a butterfly.   I believe this class of insects were originally called flutterbys.   The rating of a 7.5 might stretch the truth a little, but what the heck.   Sometimes I stretch the truth quite a lot.

At least the calculation time has not been stretched.   It took an entire 5 minutes to calculate the image on the fast 2000mhz machine.   And don't forget the FOTD web site at:where the image is or momentarily will be posted for immediate and absolutely total gratification.

Heavy clouds, steady rain, and a chilly temperature of 54F 12C kept things well dampened here at Fractal Central on Tuesday.   The fractal cats' spirits were especially well dampened, but an extra treat of tuna and cheddar took their minds off the bad weather, and a dose of fresh catnip kept their minds off the weather.

For me it was a back to work day.   Luckily, the work was not very heavy, and was out of the way just after lunch.   To fill the afternoon I watched one of the junkiest of junky old sci-fi movies, "The Creeping Terror", which is so bad that it must be seen to be believed.   Actually, the movie's awefulness gave me just the push I needed to find today's image.   The next FOTD image will be posted in 24 hours.   Until then, take care, and since dreams happen inside the brain, how is it possible to dream of something too large to fit in the brain?


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

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

Elusive_Flutterby  { ; time=0:05:05.55-SF5 on P4-2000
  reset=2004 type=formula formulafile=basic.frm
  formulaname=MandAutoCritInZ function=recip passes=1
  center-mag=+0.06238493615275089/-1.513718825559952/\
  2.08e+012/1/-37.5/0 float=y inside=0 periodicity=10
  params=-5/-1.5/-1.5/-5/0/0/0/0 mathtolerance=0.05/1
  maxiter=7200
  colors=000YZZb`YgcXleWVUiDIvCKrCLoCNkCOhCQeCRaCTZC\
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  NDGPIKRNOSSRUYVWbZYgbPonUmiZleck`mqNjmSgjXefabcfPS\
  x``jkiXvBGvXIEPbJRaOU`TW_ }

frm:MandAutoCritInZ {; 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)+(p4)),
  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=========================================