Fractal visionaries and enthusiasts: 

To find today's image we checked the parent fractal that results when the expression Z^(1.9)+C is iterated only one step up the hyperladder with no function applied.  This parent consists of a reasonably recognizable Mandeloid rotated so that east faces south and twisted so that the main bud faces northwest.  A very obvious but disconnected minibrot lies just southeast of the main bay.  Today's scene lies a short distance north of this minibrot.

I named the image "Random Searching", which describes the technique I used to dredge up today's scene.  The minibrot at the center resembles the parent fractal rather closely, though I did not check to see if that disconnected minibrot exists nearby.

The art rating of a 7 indicates that I am less than fully satisfied with today's image.  The math rating of a 5 shows that nothing new exists in the math aspect.

The calculation time of a little over 2 minutes will pass quickly enough.  Those who like their fractals at turbo speed can check the web sites.

The clouds that ruled the roost today kept things suppressed.  The temperature, which began at 21F -6C and rose only to 43F +6C merely added to the chill.  The fractal cats spent the day sleeping and playing.  When ten-year-old Nico grew tired of play and eight-week-old Jasmine wanted to continue, we had to put her in the spare room to give Nico a break from the action.

The next FOTD will be posted in a reasonable time, until then, take care and when one person's common sense contradicts another person's common sense, they cannot both be right . . . or can they? . . .

Jim Muth
jimmuth@earthlink.net


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

Random_Searching   { ; time=0:02:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandelbrotBC3 function=ident passes=1
  center-mag=+0.718487803007509/-0.01658645125406608\
  /1.659661e+007/1/150/0 params=1.9/0/1/0 float=y
  maxiter=2500 inside=0 logmap=238 periodicity=6
  colors=00000821942A63B84CA5DRBETCFVDGPE9RFCVFJZFEX\
  FJRFIVFKcFHkFEaHBfI8jJ5nJ3pQArWHtaNvgUxm_ulXskVpjT\
  niRlhcmh`mgZmfXmeVmdTmdQmcOmbMmaKm`Im`GmbImcKmdMmf\
  OZgB`hDciFekHglJjmLlnNnpPqqRsrTusUrqTpyTznTzlTzjSz\
  cTzeSzfRzhQziPzy9zz9zzAzzAzzBzqBjjRjkRjlRknPloNll7\
  mm5no3Tj2`VSplbnhRhnFco3`m5Yk7Vi9TgBQRDNQFKOHINJFK\
  L2CN0FO3EL18J8DHBCEDBCGDAIH7GG5NG3LI4JK5HM5FO6DQ7L\
  R7JT8HV9FX9DZAB`B9aBdbJgbHicFldCneAqf8sf6TaPWdUZgZ\
  ajcdmhgpmisrktsmttottqturtujkpcckXWfPNaIFXB7Scun7C\
  QO`ZcxgboObg5Ye7Ud8QcAMbBH`DD_E9ZG5YHGJVR5gXOcaf`f\
  yYbqUZiRVaNSVKONGKFDH8AMC9QG9VJ9ZN9bR8gU8kY8o`8hd6\
  bg5Xn4cp3mz2cz1cz0czngeQb_XYVbcQhcUzcUzmUzmUzmUzzU\
  WzUMzTazRivQprPwuUzmZzhZzhZzhZzcazchzchzchzmhzmhzm\
  hzmbemefmhgmknmntmqqmtnmwlmzimzfmzdmzbmz`mz_mzYmzX\
  mz_zzbzzfzzjzznzzrzzvzzyzzszzmzzhzzbzzYzzPzzHzz9zz\
  DzzHzzLzzPzzXzzczzDzzMzzK }

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