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.

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