Fractal of the Day
by Jim Muth

Seahorse Valley-28 ©
Jim Muth's fractal image in GIF format (640x480).

FOTD -- June 28, 2009   (Rating 7)

Fractal visionaries and enthusiasts:

Today's strange new view of Seahorse Valley shows the valley as it appears in perspective.   The center of the image is the point at (C=-0.76+0i),(Z=-0.5+0i), which is a point of convergence of many thick filaments.

I assume the large open area at the top of the frame, which has a periodicity of 2, is part of the large period-2 bud, while the open half-oval at right center is a period-17 bud on the northeast shore line of the period-2 bud.   But whatever this oval area is, checking the orbits of the points in this image is very interesting, and not surprisingly, the orbits frequently take the shape of peanut holes.

The effect of looking down from a mountain top onto a blue seashore with many long thin coves is rather striking.   I tried to intensify the effect with the coloring.   I also see the ghostly outlines of several volcanoes near the shore line of the large period-2 bud at the top.   But who knows what these things mean?

The rating of a 7 indicates that I kind of like the image.   The calculation time of only 3-1/2 minutes indicates that quick satisfaction will be found by running the included parameter file.   Those who desire instant satisfaction will find fulfillment on the FOTD web site at:where the finished image is posted, already calculated.

Now I must track down and eliminate whatever it is that keeps popping up on one of the computers, warning that a fatal trojan horse virus is about to destroy it.   (That is unless I buy a cure-all program at a certain web site.)

Near perfect summer conditions prevailed here at Fractal Central on Saturday, with partly sunny skies and a temperature of 82F 28C.   The fractal cats perked up when a passing tomcat left his scent mark somewhere in the area, but soon settled down to do what cats do best -- sleep.

My day was average:  Sunday will likely be the same.   The next FOTD will hopefully be posted on time in 8 hours or so.   There are still two more trips to Seahorse Valley in the works.   Until then, take care, and circulate among the big-time thinkers.


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

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

Seahorse_Valley-28  { ; time=0:03:31.54-SF5 on P4-2000
  reset=2004 type=formula formulafile=basic.frm
  formulaname=SliceJulibrot4 passes=1 periodicity=10
  params=2.8/-7.3/90.3/-4.4/-0.76/0/-0.5/0/2/0 float=y
  center-mag=0.460478/0.175657/3.554948/0.2653/179.409\
  174596140105/-9.88243261062668 maxiter=5200 inside=0
  colors=000UBFTCFSDEREDQFDPGCOHBNIBMJALK9KL6JM9INCH\
  OFGPIGQLJROMSQPUSSWUVZWYaY`d_cgafjdijglkjolmrlpums\
  wlwwmzsnzoovmprjpmgqhercbsZ_sUXtPUuKRvFPvAQs6Rq6Ro\
  5Sm5Tk5Ti4Uf4Vd4Vb3W`3XZ3XX2YV2ZS2ZQ1_O1`M1`K0aI0a\
  G0`I3_J5_K7ZLAYNCYOEXPHWQJWSLVTNUUQUVSTXUSYXSZZR_a\
  QacQbePcgPdiTfkWgm_iobjqfksimumnwpoxmkykhzhdzfazd`\
  zc`zb`za`z``z_`zZ`zY_zX_zW_zV_zT_zS_zR_zQZzPZzOZzN\
  ZzMZzLZzKZzJZzI`zHazGbzFczFdzEezDgzChzCizBjzAkz9lz\
  8oz9mzAlzBkzCizDhzEgzFezGdzHczIazJ`zK_zLYzMXzNWzOU\
  zPTzQSzRQzSPzTOzSOzSOzSOzSOzSOzSOzSOzSOzSOzSOzMKzS\
  OzYSzcWze_zhZzkYznXzpWzh`zaezUjzNozFtz8yz8yz7sz7mz\
  6gz6bz7dz7ez7fz7gz8hz8iz8kz8lz9mz9nz9oz9pzCkzEgzGc\
  zJZzLVzNRzPNzu5zi6zY7zN8zB9z0AzDOzQ`zbmznzzovzorzo\
  nzojzpfzpbzpZzpWzl_zhczdfz`jzXnzTqzPuzMxzKwzJvzHvz\
  GuzFuzDtzCtzAsz9sz8rz6rz5qz3qz2pz1pzJqz_qzpqzoqzoq\
  zoqzoqzoqzRQzPOzcBz`BzYBz }

frm:SliceJulibrot4   {; draws most 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),
  c=p+flip(q)+p3, z=r+flip(s)+p4:
  z=z^(p5)+c
  |z| <= 9 }

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

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