[Fractint] FOTD 31-05-11 (Cave of the Ancients [7])

30 May 2011

      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=========================================