Fractal visionaries and enthusiasts: 

The iterated expression behind today's image is one of the most unusual of all time.  To create the parent fractal I added an infinitesimal 0.0000000000000001 part of Z^(-2) to a whopping 100 parts of Z^2.  This unlikely combination produces a parent Mandelbrot set so tiny that it appears as little more than a dot at the center of the screen.

The magnitude of today's image is over 10^14, and still has a little way to go before breakdown appears.  This does not mean I have found a way to increase the limit of definition.  What has happened is that the 100 parts of Z^2 have shifted the decimal point two places to the left, and we are simply getting greater magnification of a smaller parent fractal.

The tiny parent M-set appears pretty much normal until we venture into its more extreme depths, where strange things, including anti-bifurcation begin to appear.  Today's image lies in the East Valley area of the parent, though only a few signs of East Valley elements are in the scene.

The name "Eastern Confusion" refers to the unexpected details in the image.  The art rating of 7 indicates that the image is worth a look.  The math rating of an 8 indicates that in this image we might be on the verge of something quite new.  Only time and investigation will tell.

The calculation time of 1-3/4 minutes will pass in a flash.  The flash may be avoided by viewing the image on one of the web sites.

The weather was near perfect here at Fractal Central today, with photoshop blue skies, puffy cottonball clouds, low humidity and a temperature of 79F 26C.  Both the fractal cat and humans had a reasonably good day.

The next FOTD will be posted in the proper time.  Until whenever that might be, take care, and may the aliens from outer space show themselves.

Jim Muth
jimmuth@earthlink.net


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

Eastern_Confusion  { ; time=0:01:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=-0.01739734355439775/+0.000000024567652\
  58/1.103568e+014/1/-172.5/0 params=100/2/1e-016/-2\
  /0/0/0/0 float=y maxiter=1500 inside=0 logmap=138
  periodicity=6 mathtolerance=0.05/1
  colors=00068P79Q8AR9BSACTBDUCEWDGYEI_GKaIMdKOgMQjO\
  SlQTnSPsKOpAKg0GSAPJHTAPY1UeAZkIcqVhuemzqmzfhrTckS\
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  0ur7soEqmLokRniXlhajhfhgkfgpdfubfgagUahG`i3`i3Ro3H\
  uAIsGIqMJo`yhclPe_6ZdDTiJNnQHsWBwaAonAgzGauMWpSQkY\
  KfcEai8Xn3SiCQdLP_UOVbNQkMMsLHe_DSmIWiN_fSbcXf_ajX\
  fmUenQenMenJenFenBen8doEdpKdqQcrWcsactg`mdYgaVaZSV\
  WPPTMJQKDNIFLHHKGJIFLHMPJTTL_XNf`PlcRjgTikUgnVfrXd\
  vYcyZdyOeyDfy3gq8hjDibIjWMhZOf`PdcRbeS`hTZjVXmWVmX\
  RmVNmTFm6ImELmMNmTQm`SmgOmfKmfGmfzmezmezmezmezmhzm\
  kzmnzmqzmuzmhzmWzmVzmUzmTzmSzmRzmQzmPzmOzmQzmSzmTz\
  mVzmWztYzyZzw`zvbzuczzezzfzzhzzizzlzzozzrzzuzzxzzo\
  zzgzz_zzTzzMzzLzzLzzLzzLzzTzz`zzhzzozzczzSzzGzzKzz\
  OzzSzzWzz_zzczzfzzYzzQzzH }

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