;     Date: Wed, 23 Apr 2014 19:14:31 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 23-04-14 (It's Not Quadratic [A-7,M-6])
;       Id: <1.5.4.16.20140423191420.2ae76c16@earthlink.net>
; ---------
; 
; FOTD -- April 23, 2014 (Rating A-7,M-6)
; 
; Fractal visionaries and enthusiasts:
; 
; >From a distance the little minibrot at the center of today's 
; image may look quadratic, but it certainly is not.  It is of 
; order 1.5 and lies in a parent fractal that resulted when I 
; iterated the expression Z^(1.5)+C at a level 33 levels up the 
; hyperladder with no function applied.  The name "It's Not 
; Quadratic" confirms the apparent discrepancy.
; 
; This parent is shaped quite like the minibrot in the image, and 
; is oriented so that the large period-2 bud points out to the 
; south.  Today's scene is located in a sprawling chaotic spiral 
; just inland from the southeast shore line of the parent's main 
; bay.
; 
; I intentionally set the logmap about 25 levels too high.  Doing 
; this created a flat background that could be given any color I 
; wished.  For various reasons I chose solid black.
; 
; The art rates a 7, mostly because of the flat black background.  
; The math rates a 6, since the math trick is so old that it is 
; hardly a trick any longer.
; 
; The calculation time of 1-1/2 minutes is fast enough.  But visit 
; the web sites for an even faster way to view the image.
; 
; The web sites are online at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
;        <http://www.Nahee.com/FOTD/>
; 
;   <http://user.xmission.com/~legalize/fractals/fotd/about.html>
; 
; Lots of clouds with only a few breaks of sun spoiled the day 
; here at Fractal Central.  The brisk north wind and temperature 
; of only 54F 12C made things even worse.  The fractal cats 
; endured the discomfort with only minor complaints.  The humans 
; had no complaints at all -- we were too busy.
; 
; The next FOTD will be posted in about 24 hours.  Until then, 
; take care, and let's avoid discussing religion, politics or 
; philosophy for a few days.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

It's_Not_Quadratic { ; time=0:01:30.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=+0.7796928496537461/-0.5595061592029913\
  /3.314487e+008/1/112.5/0 params=1.5/0/33/0 float=y
  maxiter=2400 inside=0 logmap=162 periodicity=6
  colors=000000SafRWfPQfOKgMEgLGgKKgPPpUUxWZvXcuYhtZ\
  ms_or`qqctphwpmznrzjjzgdoddgadeZdUmdUmdUmdKmdKmdKm\
  dKmdKzdKzdKzdKzZKzUKzPCzQKzRKzUKzWKzZKz`KzcQzePzfQ\
  zgRzgRzhSzhSmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmz\
  cmzcmmcmccmUcmKcmIcmLcjOcgRccTc_WcXZcTacPdcMfcIidE\
  leBof7qg4kf8eeB_dEVdHTaKR_NPYPOWSMUUKRXIPZHNaFLdDJ\
  fBGiAEk8Cn6Ap48s36u5At6Dt7Ht9KsAOsBRsDVsEYrFarHdrI\
  hrJkqLoqMrqNuqe_ZwEHpHOiJUbL_WNeQPkTSjWVjYYi`_icbi\
  eehhghkjhmmgppgsrguufxxfzzfzzazzWzzR4mMFmPQmS`mVjm\
  YlmVnmTocQqcOscMtcJvcHwcFvcGucHtcHscIreJrkJllGflE`\
  lCWlAZfC``EccGecIhcKjcMlcN8hxHhyKhhPcbUcXXcVZcTacR\
  cePehNhjLjmJloHhoFdoE`oDYoC_nBanBczAezAizAjz9kz9lz\
  8mz8nz8oz7pz7qz7rz6sz6tz5uzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

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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