Fractal visionaries and enthusiasts:

Today's image shows a freaky cubic minibrot that I turned up yesterday.  It lies just beyond the large quadratic minibrot on the east branch of the filament extending from the large northern bud of its oversized-Mandelbrot-set parent.

I named the image "What Animal is It?" because I have never before seen a cubic minibrot just like the one in the image, and also because there is still some quadratic energy mixed in with the preponderance of cubic energy.

The rating of an 8-1/2 is based more on the mathematical interest than the artistic value, which is closer to a 7.  The coloring did add a half-point however.

The calculation time of 2 minutes might cause some fractalists to grow impatient.  This is where the FOTD web sites charge to the rescue.

Lots of sun prevailed here at Fractal Central today, but the weather was cold.  The high temperature of 36F +2C and brisk winds made it feel like midwinter and made the fractal cats seek the artificial heat.  To cheer the duo we assured them that tomorrow would be much warmer.  The hopeful words seemed to raise their spirits a little.  The next FOTD will be posted in 24 hours.  Until then, take care, and maybe the universe is a fractal running on the universal computer.

Jim Muth
jimmuth@earthlink.net


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

What_Animal_is_It? { ; time=0:02:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=JulibrotMulti function=recip passes=1
  center-mag=-0.8725112652295395/+29.7358140753207/\
  1.847812e+011/1/-52/0 params=3/30/0/0/0/0/0/0/0/0
  float=y maxiter=1600 inside=0 logmap=210
  periodicity=6 mathtolerance=0.05/1
  colors=000OhFMhFLhFKiFIiEHiEGiEEiEDjDCjDAjD9jD8jD9\
  kCAlCBmCCmCDnCEoCEoCFpCGqCHqBIrBJsBJsBKtBLuBMuBNvB\
  OwBOwBPvDPvEPuFPuHPuIPtJPtKPsMPsNPsOPrQPrRPrSPqTPq\
  VPpWPpXPpZQo_Ro`SoaTnbUnbVmbWmbXlaYl`Zk__kZ`jYajXb\
  iWciUdiSehQfhOggMhgKigIjhGkiEljCmkAnlAomApnAqoArp9\
  sqFtrKusPvtUwuZxvcxwhxxmxymxzmnpcnc`oWgmRikKliFngA\
  qe6sW9pMBcC7K300000`2VZ4UY5TW7TV8STASSBRQCROFWMI_L\
  LdJPhHTmGWqFVrEVrDWsCUsBStAQt9Ot8Mu7Ku6Iv5Gv4Ew3Cw\
  3Aw48t57r67o78m8Aj9BhADeBEcCG`DHZEJWFKUGMRHNPIPMIQ\
  KIRNIRQIRTIRVLSYOT`RUcUUeWVhZWkaWmdXpgYsiYucUsZRrT\
  OqOLpIIoDFnICkMAiQ8gU6ePEaKMZFTWA`S5hP0oM9kQIgURcY\
  _``hXdqThyQkuObrNUoMLlLCjKBhJAfJAdI9cI9aH8_H8YG7XG\
  7VF6TF6RE5QE5MF8JGBGHEDIG9JJ6KMULPULRULSULTcLTcLUc\
  LUcLVmLVmLWmLXmLXmUYmUYmUZmUZzUXzTWz_VzXUzcTzcRzcQ\
  zcPzcOzcNzcMzcOzcQzcRzcTzcUzcWzcXzcZzc_zcazcYzcZzc\
  _zc`zcazcVzcPzcIzcCzcBzcA }

frm:JulibrotMulti  {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p2*0.0055555555555556),
  b=pi*imag(p2*0.0055555555555556),
  g=pi*real(p3*0.0055555555555556),
  d=pi*imag(p3*0.0055555555555556),
  ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g),
  sg=sin(g), cd=cos(d), sd=sin(d),
  p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
  q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd),
  r=u*sg+v*ca*sb*cg, s=v*sin(a), aa=-(real(p1)-2),
  bb=imag(p1)-0.0000000000000000001,
  c=p+flip(q)+p4, z=r+flip(s)+p5:
  z=z*z*fn1(z^(aa)+bb)+c
  |z|< 100000000 }

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