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June 5, 2011: Iterative Old One June 4 June 6 2011 FOTD Home
 Rating 5

iterative

Fractal visionaries and enthusiasts:

Due to an antiquing expedition on Saturday, today's image is a super-quickie, both in calculation time and the time I spent creating it.  It came about when I casually subtracted 0.67 part of (1/Z) from 0.67 part of Z^2, which resulted in a parent fractal consisting of a single large distorted Mandeloid with disconnected debris scattered around it.

The north period-3 bud is the largest bud on the main bay of this parent Mandeloid.  This bud has a prominent zig-zagging filament extending from it and terminating in a jagged string of connected holes.  The string of holes is mirrored many times in today's image, which is located near the point where the filament joins the string.

The image rates a 5, about as low as an image can go and still qualify for FOTD status.  The name "Iterative Old One" does not refer to the fractalist.  It refers to the image, which had potentially existed for all eternity before I stumbled upon it.

The calculation time of 20 seconds is about as fast as an image can be, (unless the image is type=mandel or type=julia).

Saturday here at Fractal central began sunny, but clouds moved in during the afternoon and built until a lively thunder-shower erupted at nightfall.  The fractal cats had no complaints about the temperature of 77F 25C, but did not enjoy the noisy thunder.

Meanwhile the humans had an acceptably pleasant day.  The next FOTD will be posted within 12 hours.  Until next time, take care, and if you hate those big greedy corporations that pollute the environment and take money from the people, punish them by no longer using their products.  But if you need these products to maintain your life style, don't make yourself a hypocrite by speaking out and protesting.

Jim Muth
jimmuth@earthlink.net


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

Iterative_Old_One  { ; time=0:00:20.60-SF5 on P4-2000
  reset=2004 type=formula formulafile=basicer.frm
  formulaname=MandAutoCritInZ function=ident float=y
  center-mag=+0.5565691575516971/+0.5157652874537672\
  /1.39e+009/1/-37.5/0 params=0.67/2/-0.67/-1/0/0/0/0
  maxiter=312 inside=0 logmap=48 periodicity=6
  colors=000hQCjTDlWEnZFpaGrdHthRtl`vqjwuszzz0AA4GF7\
  NKAUPD_TGdYJiaMmfOojRmmTjhVbcDAKB8F96A655430210sbf\
  q`do_cmZakX`iWZgVYeTWdSVbRU`QSgoChnEinFinHjnIjnKkn\
  LknMlnOmnPmnRnnSnnUonVonWmkTkiRigOgeMecJcaHa_E_YCY\
  W9WU7US4SQ2YMAbIHgEPlAWq6cv2jt1gs1dr1aq1Zp1Wz1Tz1Q\
  z1Nz0Kz0Hz0Ez0Bz08z05z02z00z01z02z03z03z04zz5zz6zz\
  6zz5zz4zz3zz2zz1zzFzzDzzBzzAzz8zz6zz5zz3zz1zz9zz8z\
  z7zz6zz5zz4zz4zz3zz2zz1zz0zzEzzDzzCzzCmzBkzBhzAfzA\
  cz9az8_z8Xz7Vz7Sz6Qz6Oz5Lz5Jz4Gz3Ez3Cz29z27z14z12z\
  0Fz6Ez5Dz5Cz4Bz4Az49z38z37z36z25z24z13z12z11z00z0z\
  zbwz`tzZrzYozWlzUjzTgzRezQbzO_zMYzLVzJSzHQzGNzELzD\
  IzBFz9Dz8Az67z45z32z1AzW9zU8zS8zQ7zO7zN6zL6zJ5zH5z\
  G4zE3zC3zA2z82z71z51z30z1pzymzujzrgzndzkazgZzdWz`T\
  zYQzVNzRKzOHzKEzHBzD8zA5z62z37z16z06z05z05z04z04z0\
  4z03z03z02z02z02z01z01z00z0ez2gz2hz2iz2kz2lz2mz2oz\
  3pz3qz3sz3tz3uz3wz3xz3yi3 }

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