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May 2, 2011: Circle of Ducks May 1 May 3 2011 FOTD Home
 Rating 7

ducks

Fractal visionaries and enthusiasts:

Today's image is named "Circle of Ducks".  The eight open holes around the central minibrot bear enough resemblance to ducks with their heads pointed away to justify the name.

The parent fractal came about when I loaded the MandAutoCritInZ formula and checked to see what would happen when 0.1 part of Z^10 is combined with Z^1.5 and straight C is added.  What happened was a ragged cut off Mandeloid facing east, with its main stem twisted into a hook and a small peanut-shaped hole lying on the hook.  Today's image lies in the east valley of this peanut hole.

As it first appeared, the image fell flat, but a re-rendering with the outside set to 'tdis' gave it enough life to rate a 7.  (And remember that we are now back on the old familiar rating scale.)

The calculation time of a little over one minute will cause no one any time stress.  To avoid even the thought of stress, the finished image may be viewed in high definition at:

http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html

The original FOTD web site may still be accessed at:

      http://www.Nahee.com/FOTD/

Sunday dawned with hazy sun here at Fractal Central.  By midday however heavy clouds arrived, and by 3pm light rain began, making an overall unpleasant day.  The fractal cats slept through most of the day, though they did rise to window action when Cassie sensed an intruding cat walking past.

The day of the humans was close enough to average to be considered uneventful.  And most likely, Monday will bring more of the same.  The next FOTD will be posted in 24 hours.  Until then, take care, and before one can be at peace with others, he must be at peace with himself.

Jim Muth
jamth@mindspring.com


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

Circle_of_Ducks    { ; time=0:01:09.59-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident passes=1
  center-mag=+0.5547710621115003/-0.0077415326530723\
  /3.581373e+012/1/175/0 params=0.1/10/1/1.5/0/0/0/0
  float=y maxiter=350 inside=255 outside=tdis
  mathtolerance=0.05/1 periodicity=6
  colors=000WmQXcPYVPZMO_DO`4OBT9lppbjsTeuLWqEMm7Ci0\
  2e25b48`6BZ7DX9GVBJTCLRKUTSaV_jXgrZoz`7LgQSihYjjcY\
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  cvjcuS`hAYX8WU7VR6UP5TM4SJ3RH2QE1PC_g5Wb6SZ6OU7LQ7\
  aVXrZvmXiiVYeTMaRA_UBZWBYYBW`BVbBUdBXhHZlNapSctYex\
  bgobifbkZblQbnIbp9bq1bn4bk7biAbfDbdGbePheYmj`loclt\
  ellghdieXkbPm_HoXAqU7gT5ZS3QS8OQCMOGKMKIKOGISEGWCE\
  f9Dq6CmBFiGIfLLbQOZVRWZUXk`XxgIUm40r54j58c6CW6GP7K\
  H7OA7R3POXfMzdStbYo`cjZidXo_WuVZvYaw_dwagxcjyemygp\
  zirzkkygexdZwaTvYMuVGtSAsP9uM9vK9wI3dh2cc2b_1aV1`R\
  4YQ7WPAUODSNFQNETKEWIEZGDaEDdCDgADj8IcBNXESQHXJKaC\
  MeKWiRemYoqdxUYhPdXKkMFrBAx0Bu2Br4Bo6Bl8Bj9TXRiKgz\
  7xuGqpPjlXdgeYcmSehOfdKh_GiWCjS8iPA`M8TK6LH5DF35D2\
  7E38E39F4AF4CG5DG5EH6FH66xZ9sWCnTFiRHeOK`MNWJPSHFp\
  rCmoAkm8ik5fh3df1bdBWfcmz }

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