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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Before giving up on the almost-linear Mandeloids, I ran the Z^(1.009)+C Mandeloid through the Fractint evolver feature and found a fractal with enough variety to actually be interesting. The real(p2) parameter reveals that I let the program find the parameters. I would never enter such a value on my own. This parent fractal is shaped like most Mandeloids in this range -- somewhat like a roughly parabolic, stone-age arrowhead. It has a bit of chaos on its southeastern shoreline. Today's scene is located in this chaos. I surprised even myself when I found today's image, which resembles festive colored ribbons twisting around the apex of a dark brooding, sickly green pyramid. I thought of the name "Pyramidal Ribbons" almost at once. The magenta-ish background pattern is truly fractal, with the herringbone pattern continuing unchanged at ever smaller scales, apparently without limit. Whether the image truly deserves its rating of 7 is up to the individual viewer to decide. In my opinion, the image is well worth the rating. The calculation time of just over 4 minutes could be a bit faster, but it is not beyond the range of reason. Another reasonable way to see the image is to surf over to the FOTD web page at: The next FOTD will appear in 24 hours. At this time I have no plans as to the theme, so check in then for a possible surprise. Until that glorious moment, take care, and keep your fractals simple. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Pyramidal_Ribbons { ; time=0:04:04.65-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC3 function=ident logmap=410
center-mag=-6.9182776751/-18.4032734921/11051.95/1\
/-33/0 float=y maxiter=2500 inside=0 periodicity=10
params=1.009/0/922.5954466383862/3500
colors=000KJAKJAKJAKJAKJAKJAO9AQ8CS8EV7FX6E_5Da4Cb\
29c4Cd5Fe7Hf8Kg9MgBPhCRiDUjFXkGZkIalJcmKfnMhoNkoOm\
nNlmNllNlkMljMliMkhLkgLkfLkeLkdKjcKjbKjaJj`Jj_JiZI\
iYIiXIiYGhXIiXJjXLkXMlXNlXPmXQnXSoXTpXUpXWqXXrXZsX\
_tXYxX`tXbpXnmXfiXhf`qbXmZXoWctSXsPcuLhvHswIkvIptI\
msJcqJoqJVoJUmKkmKTjKTiKghLSfLSdLbdMRbMQ`MX`MPYNPX\
NWXNOUNOUSWUONQOOSSUSMNPOMUTUUSJVUJXXHYYG__EaaDccC\
deBfg9hi8jk7jm7lq6mo6mm6mk6mi6mg6mf6md6mb6m`6nZ6oX\
6pW6qU6rS6sQ6tO6uN6vL6wJ6wH6wF6wD6wC6wA6z86z66z46z\
37z67z88zA8zCBzQ9zP4zQ7zPAziCziEyiGxjHwzJuzLszNqzP\
ozRmzTmzUmzWmzYmz_mzamzcmzemzemzfmzglzgkzhizigziez\
jczjazkZzlUzlSzmQzmPznPzoOzoOzpNzlNzlMzmMzmLznKzoK\
zoJzpJzmIzmIzmHzmHzmGzmGzmHzmHztIzsIzrJzqJzoKznKzm\
KzlLzkLzjMzhMzgNzfNzeOzdOzcOzjazrczqczpczocznczmcz\
lczkczjcziczhczgczfczeczdczcczbczacz`cz_czZczYczQc\
zQczPczPczOczOczNczNczMcz }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z) > r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < a }
END PARAMETER FILE=========================================
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times.
