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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image, which combines portions of Z^(-0.75) and Z^(-7), is an 'evaporated' one. The escape radius has been increased to such an extreme value (one-googol) that basically all the points have been trapped. The trapped points do interesting things in their trapped state however, and these things form the basis of today's image. The image consists entirely of 'bof61' inside fill, which colors the trapped points according to which iteration comes closest to the origin. In today's scene, this fill is by far the best of the inside fill options. It works so well, in fact, that I rated the resulting image at an 'exceptional' 8. In its unevaporated state, the parent fractal consists of an oversized Mandeloid with a twisting fractal trail extending far to the northeast. Today's scene is located just beyond a crossroads on a filament extending from a sub-bud of the main bud of the parent. After a bit of consideration, I decided to name the image "Midget Starburst". I see no real reason for the name other than the fact that it sounds good. The render time of 9 minutes on my old worn-out 80586 machine is within the realm of reason. But the minute or so required to download the completed GIF image from: Weather conditions have deteriorated greatly here at Fractal Central over the past two days. Steady rain all day Thursday kept the aging fractal cats confined to the indoors, where they passed the day on their window shelves, waiting futilely for the sun to appear. The temperature of 63F 17C was mild enough, but fractal cats do not like wet ears. Today is starting cloudy and a bit cooler. If it stays dry, the dynamic duo might get in some quality outdoor time. My day will be good enough, especially if the work is finished by early afternoon. But to finish, I must first start. Until next time, take care, and I have finished the book about consciousness, (actually it is more about brain mechanisms), which I have been reading. On the last page, the author basically admits defeat when he writes the following sentences: "Talk of evolution, mechanisms and function is helpful up to a point. It tells us lots about the brain. But it says nothing at all about the really difficult and interesting question, the one to which we really want an answer -- why we *experience* what happens in our brains, why we *see* colours, *hear* music, *savour* tastes." The greatest mystery remains unsolved, and perhaps unsolvable, at least by science. This is good. I enjoy mysteries. And if science cannot solve the mystery, perhaps something else can. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Midget_Starburst { ; time=0:09:22.92--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+4.4291003385551/-0.6013162185079/2.309\
104e+009/1/-67.5/0 params=1.2/-0.75/1/-7/0/1e+100
float=y maxiter=1500 inside=bof61 periodicity=10
colors=000QdOOdNOfLOfJOgJOgIOiGOiEOkDOkBOl9Ol8Ol8Q\
n9QnBQnDQpDQpERpGRqGRqIRqJRqJTsLTsNTsOTtOTtQVtRVwR\
VwTVwVVwVTxVTxXTxYTxYRz_Rz_RzaRzaQTLO04N04N14N24N4\
4N64N64N84N94NB4ND4ND4NE4NG4NI4NJ4NJ4NL4NN4NO4NQ4N\
Q4NR4NT4NV4NX4NX4NY4N_4Na4Nb4Nb4Nd4Nf4Ng4Ni4Ni4Nk4\
Nl4Nn4Np4Oq2Np4Np4Lp4Lp4Jp4Jp4Jp4Ip4Ip4Gp4Gn4En4En\
4En4Dn6Dn6Bn6Bn6Bn69n69n68l68l66l66l66l64l64l62l82\
l82l81l81k80k80k80k80k80k80k80k80k80k80k80g60f60d6\
1b62a64_64Y66X68V69T6BR6DQ6DO6EL4GJ4II4JG4LE4ND4NB\
4O94Q84R64T44V24V14_8DhRLgJTrXapXgzfpxgxzwzzzzzwzz\
pzzlzzizzdzxazwYztVztRzsNxqJwpGtnDsl8qk4pi1ng0lk0n\
g0ld0ka2iY6gVBfREdOJbLNaIR_EVYB_X8bV4gT1kR0pQ0sO0x\
N4zLDzLLzNTzNazNizNqzNzzNzxNzxNzxOzwOzwOztOztOzsOz\
sOzqOzqOzqQzpQzpQznQqnQilQalQVkQYkR_kRaiRbiRdgRfgR\
gfRifRkfRlbVlaXlYYlX_lValRdlQflNglLilJknGnnEpnBqn9\
sn8tn4xQ_XQaVQaVQbTQbRQdQ }
frm:MandelbrotMix4 {; 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,
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END 20.0 PAR-FORMULA FILE==================================
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