;     Date: Tue, 14 Feb 2012 22:09:51 -0500
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 14-02-12 (Expansion [8])
;       Id: <1.5.4.16.20120214221140.2bdf8f02@earthlink.net>
; ---------
; 
; FOTD -- February 14, 2012 (Rating 8)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image shows an order-11 minibrot in the 'star' of a tiny 
; period-26 radical on the northwest shore line of its parent 
; Mandelbrot set.
; 
; I rated the image at an 8 because it shows what can be done with 
; the higher order minibrots when they are inserted into the 2-way 
; symmetry patterns of the Mandelbrot set.
; 
; By itself, the formula Z^11+C produces warped minibrots with 
; surrounding patterns squeezed so close that they tend to all 
; look the same.  But when mixed with Z^2 stuff, as was done in 
; today's image, the order-11 minibrots develop surrounding 
; patterns that expand until they are almost as large and varied 
; as the patterns surrounding the Z^2 minibrots.
; 
; The name "Expansion" refers to this pattern xpansion.
; 
; The calculation time of 2-3/4 minutes is a little slow, but the 
; FOTD wb sites are always ready to come to the rescue.
; 
; Be a big-time thinker by viewing the finished image on the 
; official FOTD web site at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; And check the high-definition version at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; The original FOTD web site may be accessed at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; Some sun, some clouds, and a temperature of 45F +7C made the day 
; a pleasant though uneventful one here at Fractal Central.  Light 
; snow that was forecast failed to appear.  The two fractal cats 
; approved of things, though they would have preferred more sun.
; 
; The local humans, FL and I, after a mild debate about liberal 
; and conservative politics, had a routine uneventful day.  The 
; next FOTD will be posted in 24 hours.  Until then, take care, 
; and the end could be near, so learn to be satisfied with less.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Expansion { ; time=0:02:45.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MultiExp function=recip passes=1
  center-mag=-47.35787920839996/+35.10364552060459/\
  4.904754e+008/1/-90/0 params=11/80 float=y
  maxiter=1800 inside=0 logmap=192 periodicity=6
  colors=000DLcFJdGHfHFgIEhJCjKAkL8mM6nN5nN6oP7oR9oT\
  BoVEoXGoZIo`KobNodPofRogSphTohTnhTmhTliUkiWjiYji_i\
  jahjcgjefjgekiekkdklckmbllalk`lj_li_mhZmgYmfXmeWnd\
  VncVnbUnaTo`So_RoZQpYToXQkUNfRKbOHYMEUKBPI8LH5KG2J\
  G4LI6MK7OL9QNBRPCTQEVSGWUHYWJ_XL`ZMb`OdaQecRgeTigV\
  jiWlkWmmVnkUmiRlgOkeLicIgaFebCcc9ac6_d6_e6_f6_f7_g\
  7`h7`i7`i8bj8ek8hl8kl9nm9qn9to9woAzpAzqAvrArt9mrAh\
  pAcoA_mAZkAYjAXhAWfAVeAUcATaAS`ARZAQYAOWBNUBMTBLRB\
  KPBJOBIMBHKBGJBFHBEFBDEBCCBAA8BBBBCDCDFCDHCEJDFMDF\
  OEGQEHSEHUFIXFJZGJ`GKbGLdHLgHMiINkINmIOoJPrJPtKQvK\
  RxKRzJRxJRwJRwIRwIRwIRwHRwHRwHRwHRwGWzGWzGWzFWzFWz\
  FWzFWzEWzEWzEWzDWzDWzDWzDWzCWzCWzCWzBWzBWzBWz6UzBW\
  zGWzLWzQWzVVz_PzZPzZPzZPzZPzZPzZUzZUz_UzYUzWUzWTzW\
  SzURzTQzUOzUMzUKzUIzUHzUGzUFzcEmcDncBocApc9qc8rc7s\
  c5tc6uc6vc6wc6xc7yc7zc7zc7zm8zm8zm8zm8zm9zm9zm9zm9\
  zo8zq9zr9zs9zuAzwAzzAzzBz }

frm:MultiExp   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
b=imag(p1)+0.00000000000000000001:
z=z*z*fn1(z^(a)+b)+c
|z| < 100000000 }

; END PARAMETER FILE=========================================
; 
; 
; 
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