;     Date: Sun, 20 Jun 2010 18:12:57 -0400
;     From: Jim Muth <jamth@mindspring.com>
;  Subject: [Fractint] FOTD 21-06-10 (Great AntiMinibrot [10])
;       Id: <1.5.4.16.20100620181258.11376b40@pop.mindspring.com>
; ---------
; 
; FOTD -- June 21, 2010 (Rating 10)
; 
; Fractal visionaries and enthusiasts:
; 
; Minibrots in fractals are easy to find and very widely known, 
; but much less known are antiminibrots, which are quite difficult 
; to find.  Minibrots lie at the center of a basin where the 
; iteration count increases as the center is neared, and reaches 
; infinity at the edge of minibrot itself.  Antiminibrots are 
; peaks with an area of lowest iteration count at the center.  In 
; today's image the center is beyond resolution, so I cannot give 
; the iteration count at the central peak.  But the count need not 
; be as low as 1.
; 
; In a minibrot basin, the number of elements surrounding the 
; central minibrot bifurcates in a 2,4,8,16... series as the 'brot 
; is approached.  In an antiminibrot such as the one in today's 
; image, the number antibifurcates in a 16,8,4,2 series.
; 
; In everyday minibrot images, the lowest iteration bands lie 
; around the edges of the frame, and the automatic logmap feature 
; (setting the logmap to 2) works very well, but in antiminibrot 
; images such as today's, where the lowest count is at the center, 
; the automatic logmap is useless.  Luckily, turning off the log-
; map in today's image works just as well as the automatic feature.
; 
; Today's image rates an honest 10.  Its mathematical and coloring 
; values are both well above average.  And its cauculation time of 
; 59 seconds can hardly be beat.  BTW, 95-percent of the coloring 
; was created by the Fractint program.  I tweaked only 10 or so 
; color registers.
; 
; The name "Great AntiMinibrot" says it all.
; 
; The image cauculates in less than a minute, but it still takes 
; some time to set up the parameter file.  To avoid this small 
; hassle, the finished image may be seen already calculated on the 
; FOTD web site at:
; 
;        <http://www.Nahee.com/FOTD/>
; 
; Partly cloudy skies with slightly lower temperatures and notice-
; ably lower humidity prevailed here at Fractal Central on Sunday. 
; Nicholas, the fractal cat who dislikes heat, spent most of the 
; day stretched on the cool tile floor.  Cassie, who likes it 
; warmer, passed the day curled on the foot stool.  FL and I spent 
; the day taking it easy.
; 
; The next FOTD, probably not as great as today but hopefully 
; still quite good, will be posted in 24 hours.  Until then, take 
; care, and get a new angle on things.
; 
; 
; Jim Muth
; jamth@mindspring.com
; jimmuth@aol.com
; 
; 
; START PARAMETER FILE=======================================

Great_AntiMinibrot { ; time=0:00:59.09-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip
  center-mag=-0.2382764653067911/+0.6598651051332169\
  /1.26548e+013/1/-15/0 params=6/1e+023/0/0 float=y
  maxiter=2250 periodicity=6 mathtolerance=0.05/1
  colors=000T_IXWMGELHFMIGMJGMKHMKHMLIMMINNJNNJNOKNP\
  KNQLNRLNRMOSMOTNOUNOUOOVOOWPOXPPYQPYQPZRP_RP`SPF8_\
  QIUT3gU5fU6eV7dV8cV9bWBaWC`XD_XEZXFYYHYYIXYJWZKVZL\
  U_NT_OS_PR`QQ`RPmg4ke7jc9ibBg`Df_FeYHcWJbVLaTNvZkt\
  YisYhrXgqXfpXdoWcmWblWakV`jVZiUYhUXfUWeTVdTTcTSbSR\
  aSQAC_NVgOVfPVePVdQUbRUaSU`TU_TUZUTYVTXWTWXTVXTUYS\
  T_SPZSS_SR`SQXubYsaYr`Yp`Yo_YnZZlZZkYZjXZhXZgWZfW_\
  dV_cU_aU_`T__S`YS`XR0mz0kz0iz2gz4ez5cz6az7_z9YzAWz\
  BUzCSzDQzFOvGMrHLmILhJMcLM_MNZNNYOOYOOXNPWNPVMQUMR\
  TLRSLSRKTQKUPJXOI_MKbKMeIOhGQkETnCVqAXt8Zw6ay3ax3`\
  u3_r4Zo4Yl5Xi5Wf6Vc6U`6TY7SV7RS8QP8PM9OJ9NGAMMGLTM\
  K_Szczzazv_wtYtrWqpUnnSklPhjNehKbeH_cEXaCU_9RY6OV3\
  KTAMRHOPORNVTKbWNaXQ_YUZZXX`_VacUbfSciQemPfpNgtLir\
  MioNilOijPigQidRhVKVLCHB42B42B52B52B62B72B72B82B82\
  B92BA2BA2BB2BC2FE8KHFPKMTNTYQ_bTfaTe_TcZTaXT_WTYUT\
  WSTVRTT`SP`SPDp3Hk7LgBPcE }

frm:FinDivBrot-2   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }

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