;     Date: Mon, 29 Jul 2013 20:54:01 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 29-07-13 (Eastern Confusion [A-7,M-8])
;       Id: <1.5.4.16.20130729205437.2ba73164@earthlink.net>
; ---------
; 
; FOTD -- July 29, 2013 (Rating A-7,M-8)
; 
; 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 finished image is posted at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; A hi-def version is posted at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; 16 years of back images are posted at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; And in the next FOTD, a new FOTD web site may be added.
; 
; 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 
; good day, though FL was a bit cranky around the edges at times.
; 
; 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
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  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=========================================
; 
; 
; 
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