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April 1, 2012: Prancing Numbers March 31 April 2 2011 FOTD Home
  Rating 6

prancing numbers

Fractal visionaries and enthusiasts:

Today's unspectacular image lies in the parent fractal that results when Z^4 is subtracted from 0.1 part of Z^(-0.2) and straight C is added on each iteration.  This parent is basically the Z^4 Mandeloid rotated 180 degrees, with obvious distortions in its buds and the valley on the negative X-axis broadened into a wedge.  Today's scene is located in this wedge.

The name "Prancing Numbers" can mean anything the viewer wishes.  To me it is a vague reference to the creative antics of complex numbers when repeatedly iterated.

The rating of a 6 indicates that in my opinion the image is average, worth a look but nothing that has not often been seen before.

The calculation time of one minute is perhaps a little more than the image is worth.  This is where the FOTD web sites dash to the rescue.

Clouds ruled here at Fractal Central today, with the few brief intervals of sunshine too few and far between to change the impression of a cloudy day.  Light rain that set in by 5pm just made things worse.  The temperature of 55F 13C was just about average, at least in the opinion of the fractal cats, who grew frustrated early with the lack of sun, and decided to see if they could wheedle an extra treat from the submissive humans.

The humans began the day watching the Sunday morning TV news comments about the world's problems.  At first we took the commentators' opinions half seriously, but when the topic turned once again to race relations and the need for a serious discussion about the problem, we simply smiled and shook our heads, wondering why one more 'serious discussion' could be expected to succeed when a hundred earlier ones have achieved nothing.

The next FOTD will be posted in 24 hours.  Until then, take care, and both FL and I have hoodies in the closet.  Our frustration is due to the apparent inability of society to discuss the entire racial situation openly and honestly.

Jim Muth
jimmuth@earthlink.net


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

Prancing_Numbers   { ; time=0:01:00.00 SF5 at 2000MHZ
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident float=y
  center-mag=-0.63337886641829/-0.04457352232842796\
  /3.284e+009/1/148.5/0 params=0.1/-0.2/-1/4/0/0/0/0
  maxiter=1500 inside=0 logmap=98 periodicity=6
  colors=00000A00B00C00D00E00F10G10H20I20J30K30L40M4\
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  QINUHOYGPaFQeFRiHSjISjKSzLSzNSzOTzQTzRTzTTzUTzWUzX\
  UzZUz_UzaUzbUzdVzeVpgVqhVqjVqkWrmWrnWrpWsqWsrWssZr\
  s`qscqtepthotjoqhmofkmdjjchhagf_ecYdaXb_VaXT_VRZTQ\
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  iUVkUVmUWoUXMaUNcUOdTQeSRgSSjRTmQVpQWsPXsOYsO_tN`t\
  MatLctLdtKetJftJhtIitHjtHktGmuFnuFouEquDruDsuCtuBv\
  uBwuAxu9yu9xvAxvBxvBwvCwvCwvDvvDvvEvvEuvFuvFuvGtvG\
  tvHtvIsvIsvJsvJrvKrvKrvLqvLqvMqvMpvNpvNpvOovOovPov\
  QnvQnvRnvRmvSmvSmvTlvTlvU }

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