Fractal visionaries and enthusiasts:  

Today's unexceptional image lies in the 'East Valley' of the fractal that results when 0.5 part of Z^2 is subtracted from Z^11.  At the center lies a minibrot surrounded by disconnected and distorted elephants.  The logmap has been intentionally set too high to create the effect of surrounding darkness.

The name "Random Messenger" has nothing to do with the appearance of the image.  It refers to my instinctive feeling that there is more information hidden in these fractal patterns than meets the eye.

The art and math both rate a 5, which shows that the hidden information remains quite well hidden, at least in today's image.

The calculation time of 2-3/4 minutes is around FOTD average -- slow enough to cause a bit of impatience yet fast enough to keep interest high.  The image is also available on the web sites.

Lots of sun, a photoshop-blue sky filled with white cottonpuff clouds and a temperature of 82F 28C made today one of the best of the summer.  Since this is only the second day of summer, there is much time for even better days.  The young fractal cat Jasmine busied herself watching pigeons, while the older cat Nicholas kept the unwanted prowling tomcats at bay.  The humans passed the day trying to be relaxed, which in today's hectic world is rather hard to do.

The next FOTD will be posted.  By not stating exactly when, I am avoiding unfulfilled promises.  Until whenever, take care, and from what I read in the current popularized quantum books, (Unpopularized quantum theory is nothing but incomprehensible math.), we might be surrounded by an infinity of alternate but equally real worlds.  I would sure like to meet some of these alternate versions of myself, who have avoided making some of the wrong choices that this version of myself has already made.

Jim Muth
jimmuth@earthlink.net


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

Random_Messenger   { ; time=0:02:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=+1.048537635420192/-0.00036338380887893\
  /2.698645e+012/1/113.75/0 params=1/11/-0.5/2/0/0/0/0
  float=y maxiter=1000 inside=0 logmap=206
  periodicity=6 mathtolerance=0.05/1
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  orsprtqstqstrttrttsttsuutuutuuuvuvvuvvuwwvwzzzzzzz\
  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, esc=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < esc }

END PARAMETER FILE=========================================