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October 20, 2011: Fantasia in Blue Oct. 19 Oct. 21 2011 FOTD Home
  Rating 8

fantasia

Fractal visionaries and enthusiasts:

Today we return to the warhorse formula, the MandAutoCritInZ, where we check the parent fractal created when 3 negative parts of Z^(neg(sqrt2)) are combined with 1.5 negative parts of Z^(2*(neg(sqrt2))) and (1/C) is added on every iteration.

This parent consists of two large bays, one on each side of the X-axis, with a large minibrot-filled field of debris scattered to the east.  Today's image lies in a smaller patch of chaos just south of a large bud on the east side of the large north bay.

Two tricks were involved in creating the effects in the image.  To begin, I reduced the bailout radius to an unusually small 7, then I rendered the resulting image and its ballooning elements with the 'outside' set to 'tdis'.

The name "Fantasia in Blue" was inspired by the overall blue cast of the image, though I have toned the blue down a bit since naming the image.  The rating of an 8 is what I felt the image was worth at the time I rated it.  The calculation time of 3-1/2 minutes is well within reason.

The day was ruled by heavy clouds here at Fractal Central, though the rain for the most part stayed to the west.  The fractal cats, who pay far less attention to the weather than the humans, ignored the temperature of 57F 14C and had a lazy day, taking turns sleeping on the new chair instead of fighting for it.

The humans, FL and I, had an uneventful day also.  With the graphic design work slowing down, more and more days are becoming uneventful.  The one thing not slowing down however is the FOTD, which I now have more time to work on.  The next FOTD will be posted in 24 hours.  Until then, take care, and if the climate changes, will the change be for the better or worse?

Jim Muth
jimmuth@earthlink.net


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

Fantasia_in_Blue   { ; time=0:03:37.29-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip passes=1
  center-mag=+1.300193586061464/+0.4252430675353652/\
  2.728e+011 params=-3/-1.4142/-1.5/-2.8284/0/-93/0/0
  float=y maxiter=1500 inside=0 outside=tdis
  periodicity=6 mathtolerance=0.05/1
  colors=000dD7iG5oJ2uM1uP0uS2uT4rW5qY7m`8kb9idBgfCd\
  iEbjFalHdb9gQ2jG0_K9QPNFT_5Ym0`uCdiTiSjn9uq0ro0jn7\
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  QufTsbPuaMu_QuZTuXWuW_uVcuTfuSiuQluOquNsuLwzczzczz\
  mzzmzzqzzIzzLzzOzzSuuVqjXlZZgTacNd_HgVBjQ5mM0oJ0kN\
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  f9Kj4Em38r32u30u30u30u30u30u30u30u30u30u30u30u30u3\
  0r32k45gC7aK9WTBS`ELiFFrIBzK5zN1zO7zSCzVIzXNzZTzaZ\
  zdbzfiziozkszmowojrqfnqairkuisiau_WsYTmWQgWNaVKWTH\
  QTEKSBES9LVFSYLZ`SdcXjfbriiulouoskqfWqTEqF0q20q00s\
  00w00z00z0C3HI3EN4CT7BZA8 }

frm:MandAutoCritInZ {; Jim Muth
a=real(p1), b=imag(p1), d=real(p2), f=imag(p2),
g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }

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