Fractal visionaries and enthusiasts: 

The main feature of today's image is its ultra-brilliant colors, which earned a rating of a superior 9.  The math comes in at a 6, good enough, but nothing to write home about.

The flower-like shapes were a result of applying the 'biomorph' option to the humdrum image that resulted when the image was generated with the outside set to the usual 'iter'.  I have rarely used this option, since at least in my opinon, it is mere decoration that hides the actual fractal.

The name "Chaplet of Flowers" seemed so natural that I could hardly resist giving it to the image.

The parent fractal came about when I subtracted Z^(-2.8) from Z^(-1.1) before adding (1/C) on each iteration.  This parent consists of little more than two oversized Mandelbrot buds without a main bay, with lots of debris strings scattered about the entire fractal.  Today's image lies in one of these debris strings on the northeast outskirts of the fractal.

The calculation time of 1-1/3 minutes will pass fast.  It will pass even faster on the web sites.

Perfect weather prevailed here at Fractal Central today, with a temperature of 77F 25C, low humidity and a delightful mix of photoshop blue skies and puffy white cottonball clouds.  This was just what the fractal cat ordered.  At lunch time, the fractal humans had a lively debate about weather, fate, Hopis, and the paradigm of our western culture.  

The next FOTD will be posted within a reasonable time.  Until reason prevails, take care, and science uses the scientific method to demonstrate that reason and common sense sometime lead to wrong conclusions.  As for myself, I am still trying to determine if the world I think I see around me is really out there, or just a series of consistent images in my mind, (whatever my mind is).

Jim Muth
jimmuth@earthlink.net


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

Chaplet_of_Flowers { ; time=0:01:20.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=MandAutoCritInZ function=recip passes=1
  center-mag=+2.795092906612666/+0.6474369169982751/\
  1.385e+011/1/50/0 params=1/-1.1/-1/-2.8/0/0/0/0
  float=y maxiter=800 inside=0 biomorph=120
  periodicity=6 mathtolerance=0.05/1
  colors=000C0dA2`dv2PzgAzzb0AJCZ2Vv0mz0`z0Ns0Ae40T8\
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  Pz8Tu4Xm2`d0dX0gN0kG0oE0i }

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