Fractal visionaries and enthusiasts:  

Today's image lies at the western edge of yesterday's morphing minibrot.  It is the best example of an area of antibifurcation that I have yet found, which is exactly what I have named it.

My definition of an area of antibifurcation is the exact opposite of the area surrounding a minibrot.  Instead of the maxiter increasing toward the center, it decreases, while the number of elements is cut in half instead of doubling.

When we zoom into a minibrot that lies in the basin of attraction of a larger minibrot, the doubling of the surrounding elements often reaches a maximum, then resets itself to a smaller power of two and resumes doubling from there.  This resetting is sometimes referred to as antibifurcation, though I prefer the term resetting.

In today's image the art rates a 7, since I see nothing unusually striking in the picture.  The math however rates a superior 9, since the entire scene appears to be inside out, with even the colors cycling in the wrong direction.

It takes 6-1/4 dragging minutes for the image to finish, a time that could lead some to become impatient and miss the incredible antibifurcation.  So if impatience strikes, don't forget the web sites.

Glorious sunshine poured down on Fractal Central today, while the temperature of 55F 13C made the outdoors at least a little better than yesterday, though well below the normal high of 66F 19C.  The fractal cats wished for further improvement, but the humans made it through the day with no major problems.

The next FOTD will be posted in a certain period of time.  Until the certainty becomes more specific, take care, and let's live life to the fullest while we're here.  After all, we only go around a couple hundred times.

Jim Muth
jimmuth@earthlink.net


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

Antibifurcation    { ; time=0:06:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip
  center-mag=-1.777252088172983/+0.00042575899897272\
  /1.721917e+012/1/-85/0 params=13/1e+055/0/0 float=y
  maxiter=12000 periodicity=6 mathtolerance=0.05/1
  colors=000koplqrlsumuwmvzmuzlszkqwipthoqgnmfmidkhc\
  ihbggaff_eeZddYcdXbcVabU`aT_aSZ`QY_PXZOWYNVYLUXKTW\
  JSVIRVJQUKPTLOSMNRNMROLQOKPPKOQKORLNSMMTNLTOLUPKVQ\
  JWRIXRIYRHYRGZRF_RF`REaRDbRC`PAbRCcTEdUGeWIfXKgZMi\
  _OkaQmbSodUqeWsgYth_ujavkcwmeunftlfskftifthfuffuef\
  udfvbfvafw_fwZfxXfxWfxVfyTfySfzQfzPfzLczOfzRhzUjzX\
  lz_nzbpzerxfpvfnufmsfkrfipfhngfmgekgcjgahg`ggZegYc\
  gXagW_gUYgTWfUUfWSfXQfZOf`MfbKfcIfeHfgGfiGfkFelEdn\
  EcpDcrCcsCcuBcwAcyAczEcyHcxKcxOcwRcwUcvYbu`auc`tf_\
  tdZrbYqaXp_WoYVmXUlVTkTSjSRhQQgOPfNOeLNcJNbIMaGM`E\
  LZDLYBKX9KW9JX8IY8HZ8G_7E`7Ca7Bb7Ac69b68a67`66_55Z\
  54Y53X52W41U40Q40M40I30F30C30930630540430321232343\
  4545656767878A89C9AEABGACIACKADMAEOAFQAGSAHUAIWAJY\
  AK_ALaBLcCMeDNgEOiGPkIQmKRoLSqMTsNUzPNwNUuL_sKeqIk\
  oHqmIrkJriKsgLseMscNtbOtbPucQucRudSvdTvcSwdUveWueY\
  uf_tgatgcsheshgriiqjkqjmp }

frm:FinDivBrot-2   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }

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