Fractal visionaries and enthusiasts:

The most surprising thing about today's image is that its parent fractal does not exist.  At least it does not exist when rendered in the normal manner with 'iter' outside and 'numb' inside.  It is an 'evaporated' parent, consisting entirely of trapped 'inside' points.

A kind of fractal does appear however when the blank screen is rendered with the inside set to an active inside fill.  For today's image I chose the 'bof60'.  The generating formula is a rather strange one that includes Z^2 divided by Z^(1/Z).

The name "The Magic Tower" refers to the chaotic vertical spike in the left half of the image, which for some reason seems hauntingly familiar, a feeling of 'yugen' (check the internet for a definition), if there ever was one.

The rating of an 8 is what I myself consider the image to be worth.  The actual fractal value might be closer to a 7.

One thing that cannot be questioned however is that the image is a fast one.  it will finish in about one minute on most SOTA machines.  The web sites are online for those whose machines are not State Of The Art.

A very noisy but exciting thunder-storm moved in here at Fractal Central yesterday evening.  I enjoyed the wind, rain and noise but the fractal cats were uneasy and even FL turned chicken.  After giving the garden a generous watering, the storm moved out, leading to a peaceful, relatively cool night.

The heat returned today however, when total sun boosted the temperature to a sultry 88F 31C, causing the fractal cats to go into hot weather mode.  The humans took things easy, which is the best way to spend a holiday.  The next FOTD will be posted in 24 hours.  Until then, take care, and we're always hearing about enemies of freedom.  I guess they are those people who would rather be slaves.

Jim Muth
jimmuth@earthlink.net


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

The_Magic_Tower    { ; time=0:01:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basic.frm
  formulaname=DivideJulibrot center-mag=4.56154/\
  13.0186/0.1896/1/-2.5/0 params=86/0/86/0/-0.77/0/\
  0/0/-1/1 float=y maxiter=1500 inside=bof60
  logmap=yes periodicity=6
  colors=000720A32D44G56J68M8APACSCEWEG_GIcIKgKMkMOn\
  OQqQTtSWwUYyV_vT`tP`rN_pKXnIVlGTiERgDQeCOcBOaAN_9N\
  X8MV7MT6LQ5KO4IM3GJ2EH1CF0AD08C07C07B09B0AB0AC0AE0\
  AGNQHMRJMTKMUMMWNMYPLZQL`SLbTLcVLeWLfVMgVNgVOgVPgV\
  PgUQgURgUSgUTgUTgTUgTVgTWhTXhTXhSYhSZhS_hS`hS`hRah\
  RbhRchRdhRdhScgTbgTbgUagVagV`gW`gX_fXZfYZfZYfZYf_X\
  f_Xf_Wf_Vf_UeZUeZUdZUdZUcZUcZUcZUcZUcZUcZUcUVPUUPU\
  SQVRQVPRVNSWMSWKTWJTXHUXFVXEVYCWYBWY9XZ7YZ6YZ4ZZ3Z\
  Y4YX5XW6WV7VU8UT9TSASRBSQCRPDQOEPNFOMGNLHMKIMJJLIK\
  KHLJGMIFNHEOGDPGCQFBREASD9TC8UB7VA7WA6XC6XE6YG6YI6\
  ZK5ZM5_O5_Q5`S5`T3aT1aT5_U8YVCWWFUWJSXMQYQOZTMZXK_\
  _I`cGafEaT_fGtjHskHrlIqmIpnJooJnpKmqKlrLksLjtMiuMh\
  vMgvRahVXV_RHcM3bL6aL9`LC_LFZLIYKLXKOWKRVKUUKWTJZS\
  JaRJdQJgPJjOImNIpMIsLIvLIxNHuPHsRGqTGnVGlXFjZFh`Ee\
  bEcdEafDZhDXjCVlCTnCQpBOrBMsBKqAIoAHnAGlAFjAEiADgA\
  CeABdAAbA9`A8_A7XDCXWNMHH }

frm:DivideJulibrot   {; draws 4-D slices of DivideBrot Julibrots
  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), aa=-(real(p5)-2),
  bb=(imag(p5)+0.00000000000000000000001),
  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),
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=sqr(z)/(z^(aa)+bb)+c
  |z|< 1000000 }

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