Fractal visionaries and enthusiasts:  

Let the banners wave and the trumpets blare.  The work is finished and the FOTD is back!  We're still rather busy here at FC however, so today's discussion will be rather brief.

The image is an 'evaporated' one, meaning the entire scene consists of 'inside' stuff made visible by an active inside fill, in this case the 'bof60' fill.  The 'outside' stuff has evaporated away due to the bailout radius of 1,000,000.

The image is an 'almost-Julia' scene sliced through the Seahorse Valley area of a Z^2+C Julibrot corrupted by Z^(-10) energies.  Since there is no distorted low-iteration 'outside' stuff to obscure the Mandelbrot shape, the outline of the entire M-set is plainly visible, though greatly enlarged due to the acute angle of the slice.

The most surprising thing however is the skeletal Julia set of Seahorse Valley, which lies in its proper place at the junction of the two branches of Seahorse Valley in the M-set outline.  I will show this skeletal Julia set in its full glory in the next FOTD, to be posted in the near future.

The name "String Along with Me" refers to the strings of brilliant fractal beads strung throughout the image.  These strings of beads will become more prominent in the next FOTD.

The art rates an honest 7.  There have been images with far better coloring in the past.  The math rating of an 8 is based on the superposition of both the Mandelbrot and Julia aspects of Seahorse Valley.

The calculation time of 1-1/4 minutes is fast enough, but a little time could still be saved by checking the web sites.

Today began foggy here at Fractal Central, but the fog soon cleared off, leading to a sunny hot afternoon with a temperature of 88F 31C.  The day ended with a brief but heavy thunder-storm.  The fractal cats passed the day sleeping, eating and watching for intruding cats, while the humans made it through the day exhausted but satisfied.

The next FOTD will be posted in a little while.  To see how brief the while will be, check back frequently.  Until whenever, take care, and keep repeating "America is great".  After a while, you might begin to believe it.

Jim Muth
jimmuth@earthlink.net


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

StringAlongWithMe  { ; time=0:01:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivJulibrot-2 function=recip
  passes=1 center-mag=8.68773/0/0.02218364
  params=88/0/88/0/-0.75/0/0/0/-10/1000000
  float=y maxiter=1500 inside=bof60 logmap=yes
  symmetry=xaxis periodicity=6
  colors=000zzzzzZmmKcc0UU0KJ0FF0AA056504802A00A00A0\
  0A00A00A00A00A00A00A0090080070070070073S74T75U76V7\
  7W77X78Y79Z7A_7Ba7Cb7Dc7Ed7Ee7Ff7Gg7Hh7Ii7Jj7Kk7Jk\
  4Kl7LlALlDMmGNmJNmMOnPPnSPnUQoXRo_RobSpeTphTpkUqnV\
  qqWrtVqsVpsVpsVorUorUnrUnqUmqTmqTlpTlpTkpSkpSjoSjo\
  SioSinRhnRhnRgmRgmQfmQfmQelQelPdlPdkPckPckPbjObjOa\
  jOajO`iN`iN_iN_hNZhMZhMYgMYgMXgMXgLWfLWfLVfLVfLUfL\
  UfLTfLTfKSeKSeKReKReKQeKQeKPeKPeJOdJOdJNdJNdJMdJMd\
  JLdJLdIKcIKcIKcIKcIKcIKcIKcIKcHKbIKcJKcJKcKKdKLdLM\
  dLNdMOeMPeNQeNRfOSfOTfPUfQVgQWgRXgRYhSZhSZhT_hT`iU\
  aiUbiVcjVdjWejXfjXgkYhkYikZjlZkl_ll_mlZllYklXjkWik\
  VhkUgjTfjSejRdiQciPbiOahN`hM_hLZhKKgJLeINdHPbGRaFT\
  _EUZDWXCYVB_UAaS9cR8dP7fO6hM5jL4lJ3nJ3mI3mI3mH4lH4\
  lH4lG4lG5kG5kF5kF5kF6jE6jE6jE6jD7iD7iD7iC7iC8hC8hB\
  8hB8hB9gC9gDAgEAgEAgFBgGBfGBfHCfICfIDfJDfKDfKEeLEe\
  MEeMFeNFeOGeOGePGdQHdQHdR }

frm:FinDivJulibrot-2   {; draws slices of FinDivBrot-2 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)),
  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=(bb)*(z*z*fn1(z^(aa)+bb))+c
  |z|< 1000000 }

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