Fractal visionaries and enthusiasts:

Today's image is a scene in the Z^101+C Julibrot.  It is a simple diversion from the heavier things that the FOTD somteimes gets involved in.  It's the type of thing I might have done 10 years ago, so I could give it no rating.  But it's still a very fast 44-second image, well worth a glance.

The image is not part of a Julia set, nor of a Mandelbrot set.  It is sliced in a direction rotated 4-1/2 degrees from the Julia toward the Oblate orientation.  This makes the image almost a Julia set, though one would never guess it from the appearance alone.

The name "Way to the Unknown" sounds full of deep meaning.  Actually, it has little if any connection to the image, and even less meaning.  The most obvious features in the image are the 3 similar openings, though they failed to be mentioned in the name.

Friday brought a refreshing break to Fractal Central as a bit of cooler air slipped in from the north, dropping the temperature to 86F 30C and clearing away the haze and humidity.  The fractal cats must have missed the change.  They spent most of the day stretched in the coolest places they could find.

The humans had a rather dull day, which appears to be typical of how things go in the summer here at FC.  The next FOTD will see its moment of glory in 24 hours.  Until then, take care, and if the answer is not what you had hoped for and expected, believe it anyway.

Jim Muth
jimmuth@earthlink.net


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

Way_to_the_Unknown { ; time=0:00:44.21-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 passes=1
  center-mag=-0.995001/0.963568/19.79345/0.7593/180
  params=85.4/0/90/0/-0.9737/0/1.0066/0/101/0 float=y
  maxiter=1500 inside=255 periodicity=0
  colors=000D07D08E0AF0CFAIEFOIJVMNWRQRVT7ZW7cVzmUzz\
  zzzzzMaZBej1iuOd_j`FgaJdbzacQZdUzzzTf`QgdNhgKikHjn\
  EkrBlv8my5nz2oz4kz6gz8czA_yCWwESvGPtILsKHqMDoO9nQ5\
  lS2kR3mQ3nP3oO3qN4rN4sM4uL4vK5wJ5yJ5zI5zH6zzzzF6zF\
  6zEGwEPnDYeDfXDoOEjREeTE`VFWYFS_FNaGIdGDfG9hEFcCLZ\
  ARU8XP6bK4hGKULZFPm0Tl1Wzzzj3`i4ch5eg6hf7je8me9ocC\
  nbEmaGl`Ik_KjZMiYOhXQgWSfVUfSXcQ_aOa_MdYKgWIiUFlSD\
  oQBqO9tM7wK5yI7uK8rLAnNBkODhPEdRGaSHZTFYVEYWCYYBYZ\
  9Y`8Ya6Yc5Yd6Wb7V`8U_8SY9RWAQVAPTFGIBNRCMQDLODJMEI\
  LFHJWzzUvxTrtRnpQjlOfhNbdMZ`KVXJRTHNPGJLBeQjsmgojd\
  kgahdZdaW`ZTYWQUTNQQKNNHJK71r83o94l95iA6fB7cB8`CAZ\
  CBWDCTEDQEENFFKAXrBVoBUlCTiCRfCQcDP`DNZEMWELTEJQFI\
  NFHKAOzDKdaMQ`LP`LP`LP_LP_LP_LPZLPZLPZLPYLOYLOYLOY\
  KOXKOXKOXKOWKOWKOWKOVKNVKNVKNVKNUKNUKNUJNTJNTJNTJM\
  SJMSJMSJMSJMRJMRJMRJMQJMQJMQILPILPILPILOILOILOILOI\
  LNILNIKNIKMIKMHK7Gm6EfUsz }

frm:SliceJulibrot4   {; draws all slices of Julibrot
  pix=pixel, u=real(pix), v=imag(pix),
  a=pi*real(p1*0.0055555555555556),
  b=pi*imag(p1*0.0055555555555556),
  g=pi*real(p2*0.0055555555555556),
  d=pi*imag(p2*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), esc=imag(p5)+9
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z^(real(p5))+c
  |z|< esc }

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