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March 15, 2006 March 12 March 16 2006 FOTD Home

mar15

Fractal visionaries and enthusiasts:

Today is the ides of March.  Since I can't find my ides, I will have to make do with a fractal.

The rather frugal FOTD fractal is a Julia set of the Z^(1.25)+C Julibrot as it appears a lofty 550 turns up the logarithmic ladder.  The corresponding Mandel point is just inland on the eastern shoreline of the main Mandel bay.

To achieve the lacy, feathery effect I rendered the scene with the outside set to 'fmod' and the first couple color registers set to 000.  The result is marginally worth the effort.

As has been the case so often during the Fractal Central moving confusion, I put too little effort into the image to name or rate it, though curiously enough, the images I have been coming up with during the confusion seem to compare favorably with the long term FOTD quality standard.

Today's image renders in 1-1/4 minutes on my ancient machine, which was alive and calculating before pupils now in the third grade were even thought of.  Ten years is quite a life for a computer, and in addition, almost 8 of those years were devoted to FOTD fractals.  But time has taken its toll, and I fear my 200mhz unit with its Windows-95 O.S. is nearing the end of the road.  What will replace it is still a mystery, but when it is retired, it will have earned a place of honor in the fractal hall of fame, (whatever that is).

The sun was warm and the temperature was mild here at Old Fractal Central on Tuesday, but the high wind spoiled the day for the fractal cats.  The wind made so much noise in the brush that it masked sounds of possible approaching danger.  The duo was outside only a little over one hour, but all was not lost.  A big treat of tuna in the evening brought their day to a happy ending.

My day was mildly satisfactory.  I managed to stay ahead of things for one day, but the immediate future looks quite hectic.  The next FOTD is due to appear in 24 hours.  The likelihood of it actually appearing is around 95 percent.  Until tomorrow at this same time, take care, and look for the iterations.

Jim Muth
jamth@mindspring.com
jimmuth@aol.com


START PARAMETER FILE=======================================

FOTD_for_15-03-06  { ; time=0:01:14.81--SF5 on a P200
  reset=2004 type=formula formulafile=allinone.frm
  formulaname=JuliaBC passes=1 center-mag=0.185207/\
  0.166293/1.084618/1/-45/1.31075705844807544e-014
  params=1.25/0/550/0/0.61/-0.05/0/0 float=y
  maxiter=500 inside=0 proximity=0.012
  outside=fmod logmap=yes periodicity=10
  colors=000000zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzyzyxyxw\
  xwvwvuvututstsrsrqrqnqploojnmhlkfjidigbge`ecYdbWb`\
  U`ZS_XQYVOWTMVRKTP3TR8TRDTQISOHTPHTQHTRHURGUSGUTGU\
  UGVUGVVFVWFWWFWXFWYEWZEXZEX_EX`EY`DYaDYbDYcDZcCZdC\
  ZeCZeC_fC_gB_hB`hB`iB`jA`kAakAalAamAbm9bn9bo9bp9cp\
  8cq8cr8dr8ds8dt7du7eu7ev7ew7ew8dv8du9ct9csAcrAbqBb\
  pBaoBanCamC`lD`kD_jE_iE_hFZgFZfFZeGYdGYcHXbHXaIX`I\
  W_IWZJVYJVXKVWKUVLUULUTMTSMTRMSQNSPNSOORNORMPQLPQK\
  PQJQPIQPHRPGROFSOESNDTNCTNBTMAUM9UL8VL7VL6WK5WK4XI\
  1WJ2WJ2WK3WK3VL4VL4VM4VM5VN5UN6UO6UO6UP7UP7TQ8TQ8T\
  R8TR9TS9SSASTASTASUBRUBRVCRVCRWCRWDQXDQXEQYEQYEQZF\
  PZFP_GP_GP`GP`HOaHOaIObIObINcJNcJNdKNdKNeKMeLMfLMf\
  MMgMMgMLhNLhNLiOLiOMjMLiOLiPKhQKhSJgTJgUIfVIfXHfYH\
  eZKe_PdaUdbZccccdhcfmbgrbhvajzcuzctzctzcszcszcrzcr\
  zcqQlqQlpQkpQkoQkoRjnRjnRjmRjmRilSilSikShkShjShjPg\
  iRhjShjTikUikVjkWjlXklYkl }

frm:JuliaBC   { ; Formula by Andrew Coppin
  e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)),
  r=real(p2)-q, C=p3, Z=Pixel:
    Z=log(Z)
    IF(imag(Z)>r)
      Z=Z+flip(2*PI)
    ENDIF
    Z=exp(e*(Z+flip(q)))+C
  |Z|< p4+100 }

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