Fractal visionaries and enthusiasts:  

Today's image is named "Superposition".  This name has nothing to do with the even more mysterious quantum world.  It is a simple overlaying of the Mandelbrot and Julia aspects of Seahorse Valley, calculated without using multiple layers.

The two bright beige spikes intruding from the north and south edges of the frame are part of the Mandelbrot aspect of the valley.  The small bluish figure centered between the points of the spikes is a somewhat distorted version of the Julia set of Seahorse Valley.  This is the first fractal I have found that shows both 'seahorse' aspects in their proper places with so little distortion.

The art and math ratings of 8 seem about right, at least to me.  The calculation time of 1 minute will pass in a semi-flash.  The flash may be eliminated by checking the finished image on one of the web sites.

Lots of sun and humidity made the temperature of 90F 32C feel like midsummer here at Fractal Central today.  Storm clouds were on the horizon most of the day, but none came close enough to bring cooling breezes.  The fractal cats celebrated the conditions that make cats happy by stretching out on the coolest places they could find.  The next FOTD will be posted in a reasonable time.  Until then, take care, and where is a media news outlet without an agenda?

Jim Muth
jimmuth@earthlink.net


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

Superposition      { ; time=0:01:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivJulibrot-2 function=recip
  passes=1 center-mag=-0.0410392/0/0.4436728
  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=000zzzmmmcecUZUKUKAGE5AC34B02A00C03F26I49K6\
  AP8BU9CW8CX7DY7E_6Fa5Fc5Ge4Hh3Ij3Il4Lj5Oi5Qh6Tf7Ve\
  7Yd8`h9bm9erAgvBjzBmvCorDrmDthCocBkZBfVAbRAYR9UR8P\
  Q8LQ7GQ7CQBDREDRHDSKDSODSRETUETXET`EUcEUfFViFVmFVp\
  FWsFWvFWtEYrE_pD`nDblCdjCeiBggBieAjcAla9m_9oZ8qX8r\
  V7tT7vR6wP6yO6zMBvLFrKJoJNkHRhGVdFZaEbYDfVFgUHgTJg\
  SLgRNgROgQQgPSgOUgOWhNYhMZhL`hKbhKdhJfhIhhHihHjgIj\
  gIjfIkfJkeJkeJldKldKlcKmcKmbLmbLnbLnaMnaMo`Mo`Mo_N\
  p_NpZNpZOqYOqYOqYOoXPmWPlVPjUPiTPgSPeSQdRQbQQaPQ_O\
  QZNQXNRVMRULRSKRRJRPIROIRPHSPGTQFTQFUREURDVSCVSCWS\
  BXTAXT9YU9YU8ZV7ZV6_V6`W5`W4aX3aX3bY2bY1cY1cZ3`_4Z\
  _5X`6Va8Ta9RbAPcBNcCLdEIeFGeGEfHCgJAgK8hL6iM4iN2aQ\
  FVTRWUSWUTXUUXUVYUVYUWZUXZUY_UZ_UZ`U_`U``VaaVbaVbb\
  VcbVdcVecVfdVfdVgeVheVieVidWhdXhdYhdYhdZgc_gc_gc`g\
  cafcbfcbfbcfbdebdebeebfebfecdccbbc`acZ`cX_cVZcTYcR\
  XcQVcOUcMTcKSY`JXbJWcKVeL }

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=========================================