;     Date: Mon, 13 Jun 2011 22:09:26 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 14-06-11 (Tsunami-Plus [8])
;       Id: <1.5.4.16.20110613220929.12bf198a@pop.earthlink.net>
; ---------
; 
; FOTD -- June 14, 2011 (Rating 8)
; 
; Fractal visionaries and enthusiasts:
; 
; Today's image takes us ever deeper into the world of near-
; linearity.  The exponent of Z in today's image is 1.009.  Both 
; common sense and instinct tell us that a fractal with an 
; exponent so close to unity can only be a lopsided circle or a 
; featureless ellipse at best.  But as is the case with so many 
; things that are known to be true in the world of science, common 
; sense and instinct are wrong.
; 
; The parent fractal of today's scene is an ellipse, that's for 
; sure, but when calculated at the particular height of 4.45 
; levels up the logarithmic ladder, the ellipse becomes irregular 
; along its edges.  Today's image shows a close-up of some of this 
; irregularity.
; 
; I named the image "Tsunami-Plus".  The reason for the 'tsunami' 
; part of the name is obvious.  The 'plus' refers to the shaft of 
; total chaos shooting down and disappearing behind the wave.
; 
; The rating of an 8 expresses my opinion of the mathematical 
; worth of the image.  If I had put more effort into the coloring, 
; I might have given the image more artistic value and worked the 
; rating up to an 8-1/2.
; 
; The calculation time of 4-1/2 minutes will pass in a flash once 
; the peak of the mighty wave appears, decorated almost like the 
; wave in the famous Japanese drawing.
; 
; The image is posted, fully calculated, on the official FOTD web 
; site at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; and in high definition with possible variations 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/>
; 
; Sun, clouds and a temperature of 75F 24C made Monday a 
; refreshingly pleasant day here at Fractal Central.  At least the 
; fractal cats thought so.  They reverted to their winter curl-up 
; modes.  The humans spent the day doing routine things such as 
; gardening and serious work.  The next FOTD, likely another in 
; the how-low-can-you-go series, will be posted in 24 hours.  
; Until then, take care, and all good things must come to an end, 
; but so must all bad things.  In fact, everything with a 
; beginning in time must come to an end in time.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

Tsunami-Plus { ; time=0:04:31.27-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=recip passes=t
  center-mag=0.787447/-1.99784/1.8675/1/-77.5/0
  params=1.009/0/4.45/2400 float=y maxiter=5000
  inside=255 logmap=205 periodicity=6
  colors=000U7AV8BW9CW9DXAEXBFYCGZDHZEI_FJ_FK`GLaHMa\
  INbJObKPcLQcLRdNQeOQfQPfRPgTOhUOhVNiXNjYMj_Mk`LlbL\
  lcKmdKnfJngJoiIpjIslGpkInkKlkMjjOhjQfjSdjUaiW_iYYi\
  _WiaUhcSheQhgOhiLgkJgmHgoFgqDfsBfu9fw7fxAcwDawFZwI\
  XwKUwNSvPPvSNvUKvXIvXEzZGv_HsaIobJldLheMegNahOZjQV\
  kRSmSOnTLpVHqWEsXAuZ4tY7tX9sWBsVDrUFrUHqTJqSMpROpQ\
  QoQSoPUnOWnNYmM`mLblLdlKfkJhkIjjHlkEpjHnjJljLkjNii\
  PgiRfiUdiWciYah__haZhcXhfWghUgjSglRgnPdvPgpOikNkfM\
  maLpWKrRJtMIxGIvHHtHGrHGpHFnHFlHEjHEhHDfHDdHCbIC`I\
  BZHBXGAWFAXE9OE9MDAMDDMCFMBJNFIPJHPNGQRGSVJUZLVbNX\
  gPZjR`mUapWcsYev_fyagr_hkYhdWiZVjSTjLRkEPk8OgETdJY\
  aPbZUgW_lTdqRkwQiuPhsOgqNfpMenLdlKcjJbiIagH`eH_dGZ\
  bFY`EXZDWYCVWBUUATS9SR8RP7QNpgQ7PM6SL6VK6XK6_J6aI6\
  dI6fH6iH6kG6nF6pF6sE6aG6uE8tD9sDAsCBrCCrBEqBFqAGpA\
  Hp9Io9Cr4Jo9QlDWjIbgMheRobVu`ZucSufLuiEul7IjaJk_Jk\
  YL_QNPJPDCR25S36T47T58F0F }

frm:MandelbrotBC3   { ; by several Fractint users
  e=p1, a=imag(p2)+100
  p=real(p2)+PI
  q=2*PI*fn1(p/(2*PI))
  r=real(p2)+PI-q
  Z=C=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|<a }

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