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March 20, 2014: Hairpin Curves March 19 March 22 2014 FOTD Home
  Rating A-8, M-8

hairpin curves

Fractal visionaries and enthusiasts:  

The parent fractal of today's scene is a Mandelbrot set corrupted by Z^(-99) energies.  But this is no ordinary Mandelbrot set.  Instead of lying at the center of an unbroken expanse of 'outside' stuff, this parent M-set is surrounded by a series of open rings of trapped 'inside' stuff, and the edges of these rings are filled with all kinds of unexpected semi-chaotic detail.  Today's scene lies well to the north of the parent M-set, in the detail along the inner edge of the final ring.

The skeletal effect was achieved by setting the first ten color registers to a solid black.  Rotating the color palette will produce an entirely different image.

Thanks to the skeletal appearance of the image and the unusual open rings in the parent fractal, both the art and math aspects of today's FOTD are worth an 8.

The infinitesimal calculation time of only 25 seconds is no exaggeration.  On most machines, the image will finish in even less time.  Visiting the web sites will probably save no time, but it will eliminate the inconvenience of setting up and calculating the included parameter file.

Today brought wind-blown clouds with a few breaks of sun to Fractal Central.  The temperature of 45F +7C was mild enough, though the wind kept things feeling chilly.  The fractal cats soon grew annoyed with the on and off sun and decided to occupy themselves chasing each other along the hallway until they grew tired enough to go to sleep.  The humans passed the day by simply being human.

The next FOTD might be posted in 24 hours, or it might be delayed a day or so.  Until whenever, take care, and is intelligence really the most advanced attribute any conscious being could possess?  Reason says it might not be.

Jim Muth
jimmuth@earthlink.net


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

Hairpin_Curves     { ; time=0:00:25.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=FinDivBrot-2 function=recip passes=1
  center-mag=-0.1046724064003285/+3.170796553315872\
  /2.8611e+010/1/-9/0 params=-99/1e+050/0/0 float=y
  maxiter=290 inside=0 logmap=34
  periodicity=6 mathtolerance=0.05/1
  colors=000000000000000000000000000000Uz00pzwVzn0Up\
  B_z1Tv6WrAYmF_hJacOd_SfYWhV`jSdlPioMmqJrsGvuEzwIvs\
  MspQplUliYieafbZe`Xd_VcYScXQbVOaUMaT8cgBceEccHcaKc\
  _NcYQcWTcUWcSZcQacOdcMgcKjcImcGpcEscCvcAyc8wc7uc6t\
  c6rc5qc4oc4nc3lc2je1kf2kf2kg3lg3lh4lh4li4mi5mi5mj6\
  mj6nk7nk7nl7nl8om8om9om9on9pnApoApoBppBqpCqqCqqCqq\
  DrrDrrErsErsEstFstFsuGsuGtuHtvHtvHtwIuwIuxJuxJuxJr\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

frm:FinDivBrot-2   { ; Jim Muth
z=(0,0), c=pixel, a=-(real(p1)-2),
esc=(real(p2)+16), b=imag(p1):
z=(b)*(z*z*fn1(z^(a)+b))+c
|z| < esc }

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