;     Date: Mon, 30 May 2011 19:41:13 -0400
;     From: Jim Muth <jimmuth@earthlink.net>
;  Subject: [Fractint] FOTD 31-05-11 (Cave of the Ancients [7])
;       Id: <1.5.4.16.20110530194117.14cf1654@pop.earthlink.net>
; ---------
; 
; FOTD -- May 31, 2011 (Rating 7)
; 
; Fractal visionaries and enthusiasts:
; 
; I was surprised when yesterday's exponent of 1.009 actually 
; produced a fractal; I was astounded when today's exponent of 
; 1.0009 produced one also.
; 
; In this range, all parent fractals are roughly egg-shaped, so I 
; searched for parents with slight irregularities on their edges.  
; In today's case, the parent fractal created by calculating the 
; formula 8.98 levels doen the complex log ladder with the 'recip' 
; function applied showed such an irregular area.  When I zoomed 
; into this area, I found today's scene.
; 
; To me at least, the image resembles a view from deep in a cave, 
; looking out toward a brilliant sky.  When I switched on my 
; thought processes, the name "Cave of the Ancients" soon came to 
; mind.  This name sounds as though some deep mystical truth lies 
; in the depths of the image.  Actually, nothing is implied but 
; the near-mystical behavior of complex numbers.
; 
; The basic color palette is a repeat of the black-and-white one 
; from yesterday's image, though in today's scene I did tweak the 
; colors a bit.  The rating of an everyday 7 remains unchanged 
; however.
; 
; The finished image is posted at:
; 
;       <http://www.crosscanpuzzles.com/Archives.html>
; 
; The high-definition version is at:
; 
; <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html>
; 
; The original classic web site is at:
; 
;       <http://www.Nahee.com/FOTD/>
; 
; Lots of sun and a temperature of 90F 32C brought a feeling of 
; midsummer once again to Fractal Central on Monday.  The fractal 
; cats shared the midsummer effect as they found cool places to 
; stretch out and sleep.
; 
; FL spent most of the afternoon working in the garden, while I 
; got involved in a book about relativity (of all things).  The 
; next FOTD is due to be posted in 24 hours, but we suspect the 
; day will be busy, so do not be surprised if it is late.  Until 
; whenever, take care, search for a full-metal poet, and realize 
; that he or she might hold the key to the salvation of the earth.
; 
; 
; Jim Muth
; jimmuth@earthlink.net
; 
; 
; START PARAMETER FILE=======================================

CaveOfTheAncients { ; time=0:26:24.87-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=recip
  center-mag=-2.93440272/-3.75580389/693/1/123.5/0
  params=1.0009/0/-8.98/3500 float=y
  maxiter=42000 inside=0 periodicity=0
  colors=czz0000000000000000000000000000000000000000\
  00000000000000000000000000000000001001002002003003\
  00400400500500600601701712812823923934A34A45B45B56\
  C56C67D67D78E78E89F89F9AG9AGABHABHBCIBCICDJCDJDEKD\
  EKDEKEFLEFLFGMFGMGHNGHNHIOHIOIJPIJPJKQJKQKLRKLRLMS\
  LMSMNTMNTNOUNOUOPVOPVPQWPQWQRXQRXRSYRSYNOUNOZTU_TU\
  _UV`UV`VWaVWaWXbWXbXYcXYcYZdPP_QSWZ_e_`e_`e`ae`aea\
  beabebcebcecdecdeQU`UW`efeefefgefgegheghecd`ghefge\
  fgeefeWS`TUadeecdecdebcebceabeabe`ae`ae_`e_`eUV`RW\
  `YZdYZdXYcXYcWXbWXbVWaVWaUV`UV`FDOTU_STZSTZRSYRSYQ\
  RXQRXPQWPQWOPVOPVNOUNOUMNTMNTLMSLMSKLRKLRJKQJKQIJP\
  IJPHIOHIOBAFBAJFGMFGMEFLEFLDEKDEKDEKCDJCDJBCIBCIAB\
  HABH9AG9AG89F89F78E78E67D67D56C56C45B45B34A34A2392\
  39128128017017006006005005004004003003002002001001\
  00000000000000000000000000000000000000000000000000\
  0000000000000000000000000 }

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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