FOTD -- October 21, 2007 (Rating 6.5)

Fractal visionaries and enthusiasts:

After a run of images that take sizable portions of an hour to 
calculate, today's rather dark and gloomy but sizzling-fast 
image finishes in 13 seconds.

The image is a scene in the parent fractal that comes about when 
0.3 part of Z^2 is subtracted from 0.3 part of Z^(-3) and 
straight C is added.  This parent fractal is an oversized thing 
that vaguely suggests a Mandelbrot set that has been rotated 180 
degrees and filled with fascinating intricacies.  Today's scene 
in located in the part of the parent fractal which might be the 
remnants of the large minibrot on the negative X-axis.

I named the image "A Lot of Nothing" for no logical reason at 
all.  There certainly is a lot of something in the image -- an 
infinity of it.  In fact, there is enough stuff in the hidden 
depths of today's image to give every fractalist on earth a 
different infinity to explore from now through eternity.

After I named the image, I rated it at a 6-1/2.  Once again I 
rewarded myself for the extra effort I put into the coloring.

The calculation time of 13-2/3 seconds is as fast as lightning.  
Even the worn-out old P200 machine finishes the calculation in 
under 1 minute.  But the most convenient way of all to view the 
image is to go to the FOTD web site and view it in finished form 
there.  The FOTD web site may be accessed at:

       

Saturday turned out to be a near perfect day here at Fractal 
Central, with a deep blue sky set off by puffy white clouds, and 
a temperature of 68F 20C.  The fractal cats must have found the 
day pleasant also, for they spent a good part of it stretched in 
the sun streaming through the south window.

My day was un-notable, the way I wish all days would be.  The 
next FOTD fractal will be ready in 24 hours.  Until then, take 
care, and be on the watch for that elusive something known as 
the ultimate reality.  It might be a fractal!


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


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

A_Lot_of_Nothing   { ; time=0:00:13.65-SF5 on P4-2000
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandAutoCritInZ function=ident
  center-mag=+5.065449254256304/-1.226811093382541/\
  6.289509e+009/1/101.747334433732746/-0.00792485\
  470680458215 params=0.3/-3/-0.3/2/0/0/0/0 float=y
  maxiter=400 inside=0 logmap=29 periodicity=10
  colors=000A9kAAiABgACeBDc8E`6FX7ET7DP7BL7ACFBDNCEU\
  DF`EGlFHsGUzUczimzzzL8k95tCPBHgFmzJQzN0zRZzVbYZw_b\
  w`fd_WZ_LQTMIMNAFO28O0`K5XQAUVER_JOdNLzT_zYwzSwzMe\
  zHbzKXzMSzONzRIzTDzV8zX3zT7zPBzMEzIIzFLzLRYRWdWala\
  fsWdnQbiK_cEmZ7mT7mF6m08mABmKEmUDbUCbTAaS9aS7`R6`Q\
  4_P9_SE_VJ_YOZ`TZcYZfcYieaegeaiiYlmUnqQpuMszHpqNmg\
  UiZ`fPgcGn_6u_Eq_Nl_Wg_db_mY9miDrNBpJ9mE7kA5h53e0R\
  g6njDnhHneLnbQn_UnXZnUbmRgfTeZWcRYaK`_CbY4eWObMg_C\
  faHecNdeScgYbicakh`mnZptZoqYnnYlkXkhXieWhbVfZWgTYi\
  N_kHamBZmBVmARm9osoelcWdRMXFCP2CV3C`4Cf6Cl7Cr9CgLD\
  XYEMjFBwuh7viTwjotgnqcmn`lkXkhUjeQibMgFm7HmDKmKMmR\
  PmYSmcUcjXhq_nxchuhbqlXmqRjuLfzEbmzb_zcNzd9zeKzhWz\
  kgznszqhznXzkMzhAzdyzJqzShzayz2vzBrzKozTkzagzkkzap\
  zSuzIzz7zzXyzvyzryznyzjxzfxzbxzZwzUizSVzPHzM2zJjze\
  hzgfzjdzmazp_zsYzvVzy_zyezxjzxpzwtzsyznozVdzBjzBqz\
  CnzDjzEgzFczG`zHXzITzKTzK }

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


**************************************
 See what's new at 
http://www.aol.com