FOTD -- May 04, 2008 (What Rating?)
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 characteris-
tics 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:
<
http://home.att.net/~Paul.N.Lee/FotD/FotD.html>
satisfaction is virtually guaranteed.
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 stiff 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@???
jimmuth@???
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
center-mag=0.6817/0.318939/21/1/160/0
params=4.28/1.3/5.12/-0.2/1.457/6.484 float=y
maxiter=160 inside=bof61 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\
CYSDZSE_RG`RHaQIbQJbPLcPMdONeOOfOPfQQgRRgTRhUShWSi\
XTiZTj_UjaUkbVkdVleWlfXmhXmiYnkYnlZonZoo_pq_pr`qt`\
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=========================================
