Fractal visionaries and enthusiasts:  

Today's image was done in haste, and it shows in the erratic coloring, which holds the art rating to a 6.  The math trick is so old that I could rate it no higher than a 5.

The name "Loch Mandy Monster" came to mind when I noticed that the eight small open areas surrounding the central minibrot are shaped quite like the monsters that people sometimes claim to have seen swimming in Loch Ness as well as in other long thin lakes that were once arms of the open sea.  Being a sensible person when common sense is appropriate, I find it hard to believe that a breeding population of physical monsters could thrive and remain undetected in these lakes.  As for monsters from another dimension, I have no comment.

The oversized parent fractal resulted when I combined 4 parts of Z^(-1.5) with 1 part of Z^(-6) before adding (1/C) on each iteration.  This parent is shaped like a violin lying on its side.  Today's scene is located on a minor filament extending from a small bud on the shore line of a large critical bud at the east end of the parent fractal.

The calculation time of only 45 seconds will pass in a flash and a half.  Whether instant satisfaction is found when the flash subsides depends on the whim of the individual fractalist.  Visiting the web sites will reduce any fractal disappointment.

The day began with snow here at Fractal Central.  By the time it ended just after noon about 6 new inches or 15cm had piled up.  The fractal he-man leaped into action as soon as the snow ended, and within an hour the sidewalk was clear.  But the sidewalk now looks like a canyon, with shoulder high cliffs of snow and ice piled along both sides, totally covering FL's prize rose bushes.

But now there are few places left to pile the snow, and even worse, the coffee is running low.  Luckily, more coffee is available at the nearby convenience store, which never closes, but with heavy snow again expected on Monday, the only place to pile it will be on top of the present piles.  The fractal cats, never ones to worry themselves over human problems, were puzzled about the strange appearance of the outer world, but soon turned their attention to play and food.

The next FOTD will be posted in 24 hours, give or take a few.  This is not a guarantee.  With nothing else to do however, it is reasonably assured.  Until then, take care, and would fractals still exist even if the so-called 'big bang' that supposedly created our universe had never happened?

Jim (Why ask a stupid question?) Muth
jimmuth@earthlink.net


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

Loch_Mandy_Monster { ; time=0:00:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip float=y
  center-mag=+1.808025176460789/+0.3512848505070288/\
  3001146/1/141.25/0 params=4/-1.5/1/-6/0/0/0/0
  maxiter=1350 inside=0 logmap=31 periodicity=6
  colors=0005BL9Jn9FN9JOEJPGJkJJi5JV5J85DNJJiBJSBJWA\
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  RumPnmLgmI`mFUmBNm8Gm57mmOmEemPvmZqmVmmShmOden_gnW\
  hnRinNjnTbnYYnbWnpYzpTzpTzpTzqTzqTzqTzqTzqczqczqcz\
  qczqczqczqczqczrczrczrczrczrczrczrczrczrmzrmzrmzqm\
  zrmzrmzrmzrmzrmzrmzrmzrmzrmzrmzrmzsmzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
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  zzzzzzzzzzzzzzzzzzzzzzzzz }

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=========================================