Fractal visionaries and enthusiasts:

Today's image takes us to the main stem of a Mandelbrot set corrupted in its depths by Z^(1.9)+C energies.  The effect of this corruption is to create a main stem that on the surface appears to be infinitely deep but comes to a dead end.  As a result, the minibrots on the stem suffer increasing amounts of cut-off distortion as they grow smaller, until a level is reached where minibrots no longer exist.

Today's scene lies in the minibrot around -1.67, which has a huge chunky valley where the west part of its main bay and large period-2 bud should lie.  The scene of the image lies in a nest of filaments in this valley.

The object that fills the image is what I call a dry valley, a pattern with apparent two-way symmetry that appears to have a minibrot at its center but dies out before the minibrot is reached.  Take my word, there is no unresolved minibrot at the center of today's image.

One thing I do see however is eight stands of fractal trees trying to grow around the edge of the valley.  Just enough resolution remains to fill the screen with one of them.

The rating of an 8 is based mostly on the brilliant colors in the central part of the image.  The much smoother bluish outer part was created by myself.

The name "Very-Dry Valley" refers to the richness of detail in what could have been a fractal failure.

The calculation time of 3 minutes is a fair price for such a colorful fractal.

Today brought heavy clouds with increasing wind and rain to Fractal Central.  The fractal cats checked the temperature of 46F +8C, took a few glances out the back window, decided that the unwanted cats were at a safe distance, and found comfortable places to curl up and sleep.  The humans just took it easy.

The next FOTD will be posted in 24 hours.  Until then, take care, and what will we do if it turns out that the world is a dream after all?

Jim Muth
jimmuth@earthlink.net


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

Very-Dry_Valley    { ; time=0:03:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=JulibrotMulti2 function=recip passes=1
  center-mag=-1.674475219419467/+0.00000091823482684\
  /2.510105e+012/1/70/0 params=1.9/5000/0/0/0/0/0/\
  0/0/0 float=y maxiter=1250 inside=255 logmap=326
  periodicity=6 mathtolerance=0.05/1
  colors=000TfjTfiSfhSegRefRdeQddQccPcbPbaOb`Oa_NaZN\
  `YM`XM_WLZVKYUJXTIWSHVRGUQFTPESODRNCPMBNLALJ9KI8IG\
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  md3i`3eY3aV2YS2UP2QM1NI1JF1FC0B9076033tzbroJqh3lc2\
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  MMJJJGHHEEEBBB98875542221Mm0Ki0Jf0Hc0G_0EX0DU0BQ0A\
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  E00B0080050020MYlITeFOZCJS9EL69E347hte_hXRYPIMG9B8\
  c`aZWXVSTQOPMKLHGGYbHWZGVVEURDSNCRJAQF9PB8RD7SF7UH\
  7VJ7XK6YM6_O6`Q6bR5cT5eV5 }

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