Fractal visionaries and enthusiasts:

I named today's image "The Spirits Murmur", which refers to the rather delicate pastel coloring.  But do spirits actually murmur?  Probably not.  Most likely they have no need to communicate across distances, since they appear to be entangled in much the same manner as a pair of quantum particles, and therefore exist at every point in the universe at all moments of time, which makes them eternal.

Fractals are also eternal.  The Mandelbrot set always has existed as a potential image, and long after mankind is gone, it will continue to potentially exist.  Any species intelligent enough to invent complex numbers will invent computers and soon thereafter discover the Mandelbrot set.  If that species exists in a space of more than 3 dimensions, it will also discover the Julibrot, which to 4-D challenged beings such as ourselves, must always remain a potential but unseen thing.

Today's image is far more real.  It exists in the debris of the north bud of a tiny minibrot far out on the main spike of its parent Mandelbrot set, which is infected by Z^9 energies in its depths.  The minibrot is about halfway morphed from a Z^2 shape into a Z^9 shape.

The rating of an 8-1/2 includes 1/2 point for the coloring, which is 1/3 of my own creation and 2/3 the work of the Fractint program.  The calculation time of 50 seconds is quite fast, but viewing the finished image on one of the web sites is far more convenient.

A mix of sun and clouds, and a temperature of 72F 22C, made today another summertime day at the end of winter here at Fractal Central.  The fractal cats are becoming so accustomed to the summer-like conditions that they will likely become quite upset if cold weather returns.

The humans made it through another routine day without notable incident.  The next FOTD will be posted in 24 hours.  Until then, take care, and science tells us that only 5 percent of all that exists in the universe is detectable by our finest instruments, so who am I to claim that this invisible stuff does not include what the kooks call spirit worlds?

Jim Muth
jimmuth@earthlink.net


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

The_Spirits_Murmur { ; time=0:00:50.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=JulibrotMulti2 function=recip
  center-mag=-1.941006225468076/+0.00081853986092179\
  /3.303266e+012/1/-42.5/0 params=9/10000000000000\
  00.0/0/0/0/0/0/0/0/0 float=y maxiter=1750 inside=0
  logmap=116 periodicity=6 mathtolerance=0.05/1
  colors=000HBOJCQLDSNEUPFWRGYTH_VIaXJcZKe`LgbMidNkf\
  OmhPoiQsjSukUxlWzmXyk_xiaygcyeexcgxaix_kwUmxPnzKmq\
  FlpCknGimJgkNejRbhU_gYXe`UdWR_RNWMISHENCBJ88F88F78\
  E77E77D67D66C66C66B56A55A5594594484484473373363362\
  35224224223113201112112001001000lxchs`eoYajVZfSVbP\
  SYMOUKLQHHLEEHBAD8785342guifshergdqfcpebndcedeecgf\
  chfbjfblgamg`oh`qh_rhZtiZviYwiYsg`pfbmedidffbhcaj`\
  `lX_nUZpRXrNWtKVvHUxETzCRqAQi8Oa6NU4LM3KE9OGERHKUI\
  PXJU_K_cLdfMiiNolOtoPyrQxpNwoLwnJvlHukFujDtiBsg9sf\
  7re5rd3qf6qh8pjAplConEopGnrIntKmvMmxOosPpnQqiRrdRs\
  _SuVTvQUwLUxGVyBWz7Wt6To6Qj5Ne5K`5IZ4MY4PW4TV4WT4Z\
  S4bQ4eP4hYQeekbaecZ_dWUdTOeQIeNCfK7fH9aEAYBBT8CP5D\
  LAQRFaXKnbOzhNwdNtaMqZMnWLkSLhPKeMKbJK`GOUNSOUVI`Z\
  Cgb6ne0tpOnzjhXUj4El7GiAIgCKdFMbIO_KQYNSVQUTSWQVYO\
  Y_L_aJbcGeeEggChX9iN6iD4UN7FXA0fC5bGA_JEXMJUQNRTSO\
  WWLZYVQ_dH`m9bnAdoAeoAgpA }

frm:JulibrotMulti2  {; 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),
  c=p+flip(q)+p4, z=r+flip(s)+p5:
  z=(bb)*(z*z*fn1(z^(aa)+bb))+c
  |z|< 6 }

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