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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: To create today's image, I dredged up an old formula that I have not worked with for quite a while. I forget what the formula was originally supposed to do, but that doesn't matter. As today's image shows, the formula creates some strikingly unusual scenes, fractal or not. The parent fractal of today's image is not a fractal. It's only an empty circle. Regardless of how the parameters and function are tweaked, the Mystic2 formula draws nothing but flat black empty circles. But when those circles are rendered with an active inside fill and the parameters are set just right, all kinds of strange things happen. Today's image is but a tiny part of the unexpected things that can happen invisibly inside an empty circle. I named today's image "Where's the Fractal?". Actually I'm not sure that it is technically a fractal, consisting entirely as it does of 'inside' stuff. But it has enough fractal characteristics to pass muster as the FOTD for May 4. Since I'm not sure that the image actually is a fractal, how could I rate it? If I were pressed to give it a rating however, I would choose something around an 8. The 1-2/3 minute calculation time should cause no grief out there in fractal land. And with the finished image posted on the FOTD web site at: The sky was cloudy here at Fractal Central on Saturday, and the temperature never rose above 61F 16C, but the rain held off until 7pm, when all the outside stuff had been completed. The fractal cats, never ones to be worried about weather, spent the day guarding their chosen catnip rats. My day was uneventful. If tomorrow is the same, I'll consider the week-end a success. The next FOTD will appear in 24 hours. Until then, take care, and to be considered the greatest thinker in history, find the answer to the riddle of the universe. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Where's_theFractal { ; time=0:01:41.23-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=Mystic2 function=tan passes=1 float=y
center-mag=0.6817/0.318939/21/1/160/0 inside=bof61
params=4.28/1.3/5.12/-0.2/1.457/6.484 maxiter=160
periodicity=10
colors=000UUUKUXUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUUU\
UU000JF4000PQpQSoSTnTVmVXlWYkY_j_`i`bhbdgcegegffie\
hjdilckmbmoanq`pr_qtZsvYtwXvyWwzWmqRciMUaIT`HS`GR`\
GQ`FP`EO`DN`CM`BL`AK`AImYHytJusLrsaCAbBBbABc9Cd7Ce\
6Df5Df4Da8GYCIUGKQKNMOPISREVTEUSETSESSESSERREQREQR\
EPREOQEOQENQEMQEMPELPEKPEKPGMNINMKOLLPKNRJPSIRTHSU\
GUVFWXEYYDZZC`_Bb`Adb9ec8gd7ze6jf5gc7da8a_9ZYBWVCT\
TDQRFNPGLNHMOGMOGMOFNOFNOENOENOEOODOODOOCPPCPPCPPB\
PPBQPAQPAQPARP9RP9RP8RP8SQ8SQ7SQ7TQ6TQ6TQ6TQ5UQ5UQ\
4UQ4UQ4VN7VLAVIDVGGWDIWBLW8OW6RW4TV6UV7VU8WU9XTBYT\
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quarvaru_stZstYssWssVtrUtqStqRtpQupOuoNunMunKvmJvm\
IvlGvkFwkEwjCwjBwiAxh8xh7xg6xg5xVHhJTUKSXLRZLRaMQc\
NQfNPhOPkPOmPOoSPpUQpWRqYSq_TqbUrdVrfWrhXsjYslZso_\
tq`tsatubuwcuyduIJtKLsMNr }
frm:Mystic2 {; Jim Muth
a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), k=real(p3), f=imag(p3),
g=pixel, z=(pixel)^a+(b*(pixel))^c:
z=(fn1(z)+(d*(g)))^k+(f*(cos(g)))
g=sqr(g),
LastSqr <= 100 }
END PARAMETER FILE=========================================
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