Fractal visionaries and enthusiasts: 

Yesterday's image is located in the East Valley of a random Mandelbrot set at the eastern edge of the 'fan' of the parent fractal that results when various negative portions of Z^(-1.3) and Z^(-7.6) are mixed on each iteration.  Today's image is located near the tip of the main spike of that same M-set.

The 16 small oval rings surrounding the central minibrot in the image are typical of fractals with double negative exponents.  The raggedness at the edges of the minibrot is a sign that the magnitude is near the limit of precision. 

Unfortunately for the ratings, the math double-negative trick is well overworked and the sallow coloring does little to improve things.  Try as I did to delude myself, I could give neither the art nor the math aspects of the image a rating higher than a 6.

The calculation time of 3-1/3 minutes is rather slow, but as always, the web sites are there to bring relief to the impatient.

Snow fell all day here at Fractal Central today, piling up to 4 inches or 10cm by post time, and it is still snowing.  The temperature of 28F -2C was not too bad however.  The old fractal cat took it in stride, while the new fractal cat was fascinated by all the white stuff falling from the sky.  The humans had an uneventful day, though with the sidewalk to be cleared, tomorrow will not be as uneventful.

The next FOTD will be posted soon.  To see how soon, check back at frequent intervals.  Until whenever, take care, and I think I spotted four calling birds in the back yard this afternoon.

Jim Muth
jimmuth@earthlink.net


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

Way_Out_East       { ; time=0:03:20.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip passes=1
  center-mag=+5.36719024726443/+1.188330139613972/\
  8e+011/1/-52/0 params=-4/-1.3/-0.8/-7.6/0/0/0/0
  float=y maxiter=1600 inside=0 logmap=-273
  periodicity=6 mathtolerance=0.05/1
  colors=000bEDcGEdIFeKGfMHgOIiQJkSKmULoWMqYNt_OwaPz\
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  WkMVmOUmPSmQRmRQmSOmTNmUMmVLmWPmXToXXqY`sYdvZhxZlz\
  Zhz`ezabzc_zdXzeUzgRzhNzjKzkHzlEznBzo8zq5zr2zsEzpQ\
  zmazjmzghzgdzg`zgXzgTzgPzgLzgHzgDzg9zg5zgCzdIzbPz_\
  VzYazWgzTnzRtzPqzXozdmzkkzsizzgzxfzveztdzrczqbzo`z\
  m_zkZzjYzhXzfWzdUzbTzaSz_ }

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