Fractal visionaries and enthusiasts:  

Today's scene lies at the eastern edge of the blade of the prominent 'fan' in the oversized parent fractal that results when 11 negative parts of Z^(-1.1) are combined with 1.1 negative parts of Z^(-11.1) and (1/C) is added on each iteration.

The name "Lofty Aspirations" can mean whatever the individual fractalist wishes.  To me it represents the endless search for better fractals.

The art aspect of the image is worth an exceptional 8, mostly due to the brilliancy of the image.  The math rating of a 7 is still above average, though held down by over-use.

The calculation time of 4-1/4 minutes borders on slowness.  A quick trip to the web sites can speed up things notably however.

Light snow fell all day today here at Fractal Central, but with the temperature hovering just above freezing, it did nothing more than wet the sidewalks.  The fractal cats took one quick glance outside and decided to catch up on their sleep.  The humans, who are already caught up, spent the day wondering when spring will arrive.

The next FOTD will most likely be posted tomorrow.  Until then, take care, and even the person beside you could be a Boltzmann brain.  This is scary enough, but what if I am nothing more than a lonely Boltzmann brain floating in an infinite and timeless space of maximum entropy?

Jim Muth
jimmuth@earthlink.net


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

Lofty_Aspirations  { ; time=0:04:15.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=recip passes=1
  center-mag=+4.71691044048/-0.18503827863/6.06e+007\
  /1/-110/0 params=-11/-1.1/-1.1/-11.1/0/500/0/0
  float=y maxiter=2100 inside=0
  logmap=282 periodicity=6
  colors=0006Nc6Nb6Na6N`6N_6NZ6NY6NX6NW6NV6NU6NT8NS9\
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  B0DD0BE09G06I04J03L02N00O00Q00S00U00W00W00U00Z0066\
  0D0366XO0Q80JW0DS06b00e00p00r04t69vEGxLLzUQzbXzibz\
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  zbXz`dzddzddzddzddzddzddzddzdvzvvzvvzvvzvvzvvzvvzv\
  vzvzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
  zzzzzzzzzzzzzzzzzzzzzzzzz }

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