Fractal visionaries and enthusiasts:

Today's image shows Seahorse Valley in a way it has never been seen before.  I named the image "Valley of Fire" because of the thin fiery stripe down the middle, which is actually the space between the two branches of the valley as it appears when seen from the large period-2 bud of the Mandelbrot set, looking east toward the main bay.

I cannot begin to describe the four-dimensional orientation of today's slice, which is rotated from the Mandelbrot direction in four different ways.  All I can say is 'see it to believe it'.

The rating of a 6 implies more mathematical interest than artistic worth.

The calculation time of 20 seconds is faster than light, which will not only turn space inside-out, but will send the fractalist back in time.

Lots of heat prevailed here at Fractal Central on Monday, while a brief shower that fell around noon merely steamed up the air, which was already at a temperature of 91F 33C.  The fractal cats briefly looked up from their spots on the cool kitchen floor, turned over, and went back to sleep.

My day rated about a 6 on the zero-to-ten scale of being busy.  FL's was about the same.  I have one more small tweak to do on the FOTD logo before I send it to Paul on Tuesday to put on the FOTD web site.  Actually, I appear to be turning into one of those annoying graphic customers who are never satisfied and always want to make one more small change on their job.

The next FOTD will be posted in 24 hours.  Until then, take care, and science tells me to believe in a 'big bang' that I have never seen, and at the same time tells me not to believe in ghosts, which I have seen.  (Maybe it's the 'big bang' that's all in the mind.  [Or maybe everything is all in the mind.]

Jim Muth
jamth@mindspring.com
jimmuth@aol.com


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

Valley_of_Fire     { ; time=0:00:20.76-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=SliceJulibrot4 center-mag=0.0104059/\
  0.0231542/1.230315/1/24.2/0 params=75/90/60/90/\
  -0.75/0/0/0/2/0 float=y maxiter=15000 inside=255
  logmap=yes periodicity=0
  colors=00020A30B40C51D62E73F85GA6HC7IE8JG9KIALKBNM\
  CPODRQETSFVUGXWHZYI`_JbaKdcMfeOhgQhiSgkUgmWgoYgq_g\
  sagtcftefugfuifvkfwmewoexpexqeyreysevrfsqfqpfnogln\
  gimggkfdiecgdbecacb`aa__`ZY_YWZXUYWSXVQWUOVTMUSKTS\
  ISSGRTESTFTUFTUGUVGVVHVWHWWIXXIXXJYXJYYJZYK_ZK_ZL`\
  _La_Ma`Mb`NcaNcaOdbOebPebPfcQgcQgdRhdRieSieSjfSjfT\
  kgTlgUlhUmhVnhVniWoiWpjXpjXqkYrkYrlZslZtm_tm_um_ul\
  ZtlZtkZtkYtkYtjYtjXtjXtiXtiWtiWthWthVshVsgVsgVsgUs\
  fUsfUseTseTseTsdSsdSsdSscRrcRrcRrbQrbQrbQraQraPraP\
  r`Pr`Or`Or_Or_NqZNqZNqZMqYMqYMqYLqXLqXLqXLqWKqWKqW\
  KqVJpVJpVJpUIpUIpUIpTHpTHpSHpSGpSGpRGpRGpRFoQFoQFo\
  QEoPEoPEoPDoODoODoPCoUCoZCoc8rhComGmrKjvOhzSezWczZ\
  `zbZzfWzjUznRzrPzvMzzJzyKzxLzwMzvNzuNztOzsPzsQzrRz\
  qRzpSzoTznUzmVzlVzlWzkXzjYziZzhZzg_zf`zeazf`zeazea\
  zdazdazcazcbzcbzbbzbbzabqaczacz`cz`cz_cz_dz_dzZdzZ\
  dzYdzYezXezXezXezWezWezVf }

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