Fractal visionaries and enthusiasts:

Today's colorful, polka-dotted image is a scene in East Valley of the minibrot on the main spike of its parent fractal.

"Wait a minute!", you say.  The parent fractal has no main spike!

Look again; look deeper!

The parent fractal is a very distorted Mandeloid rotated 180 degrees so that its main spike lies on the east side of its main bay, which is still in negative territory, while its East Valley lies on the west side.

East Valley is obvious enough, but where is the large period-2 bud with the series of smaller buds and the main spike extending beyond it?

Check that hump on the east side of the main bay of the parent fractal where the X-axis intersects the shore line.  A tiny bud lies there, and this shrunken bud is actually the period 2 bud.

The main spike, shrunk to little more than a hairline, extends eastward from this bud, with the large minibrot lying in its proper place on this spike, and today's scene nestled cozily in the north side of the minibrot's East Valley.

As for today's FOTD image itself, it's one of the liveliest and most colorful in FOTD history.  In fact, it's far too colorful and much too chaotic for an exceptionally high rating.  With all its flaws, I could rate it no higher than a 7.

Actually, I find the parent fractal with its strange breakup more interesting than today's image.  It surely holds several more FOTD images, which I will likely present in upcoming FOTD's.  For convenience, I have included the parameter file of today's parent with the file of today's regular image.

The calculation time of 3-3/4 minutes is slow.  But visiting one of the FOTD web sites is faster.

Partly cloudy skies, snow flurries, biting winds and a temperature of 23F -5C made today feel like midwinter here at Fractal Central.  The fractal cats knew early in the day that it would be a cold one, so they snuggled up to the heat, where they spent most of the time.  The humans had another slow but peaceful day.

The next FOTD will be posted in 24 hours.  Until then, take care, and what ever happened to the change we could believe in that we heard so much about a few years ago?  And come to think of it, what happened to the 'occupy/99' protesters who never made it clear what they were protesting for?

Jim Muth
jimmuth@earthlink.net


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

Technical_Knockout { ; time=0:03:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip passes=1
  center-mag=-0.8518892490167856/+0.0000010878230685\
  /8.353447e+011/1/-55/0 params=0.75/1.25/0.75/-1.25\
  /0/0/0/0 float=y maxiter=1600 inside=0 logmap=308
  periodicity=6 mathtolerance=0.05/1
  colors=000qEMpgIbXDQM9DB4gu_XfgOWXGLM8ABT2yL1iE1V7\
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  QD_H9O84CaDaPv1GFqCBc87R43Dz`cVIKwFFU77MZijHSVBIF5\
  9jR8ZK6ND4B625a53P31C1KLl }

Parent_Fractal     { ; time=0:00:25.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip passes=1
  center-mag=-7.12447/0/0.04098361 params=0.75/1.25/\
  0.75/-1.25/0/0/0/0 float=y maxiter=500 inside=0
  symmetry=xaxis periodicity=6
  colors=000qEMpgIbXDQM9DB4gu_XfgOWXGLM8ABT2yL1iE1V7\
  0F3HE2B9154iv`NTI`uHIT8RoFKbBDQ76D39qU6_K3IAjXkZO_\
  NGOB8Co6uY4aH2Jtc7eU5SK3EA1MvQLUuAFTf30S20E10kVqWK\
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  0wB0h70U30FexbUUULUJAF9ea4LJ2vYfTHLTQTLJLEDE7678JP\
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  QD_H9O84CaDaPv1GFqCBc87R43Dz`cVIKwFFU77MZijHSVBIF5\
  9jR8ZK6ND4B625a53P31C1KLl }

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