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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today was one of frustration here at Fractal Central. The frustration began when I had no success getting the old 1996 Mindspring Windows 3.1 software to work on the new machine, which runs Win-98. The Earthlink tech support was of minimal help, informing me that they no longer support that software. But they did tell me that the current software should have arrived by this time. This was of no help either, since the CD has not in fact arrived. They concluded by telling me to reorder the software if it does not arrive in a few days, an action I had already considered. The frustration continued when I found a major bug in the latest float-only version of Fractint. I have not fully investigated the bug, but it appears that the formulaname information is not being properly written to the GIF image files, causing the program to pick up whatever formulaname info is current in the environment. I'll have to determine the exact nature of the bug before making the official report. The frustration reached a climax when a customer reported that my service bureau had delivered a faulty negative to them, causing me to utter a few well-chosen words. Despite the frustration, I managed to find a fractal. I named the image "Impossible Fractal" because such an image would appear to be impossible. The formula that drew the image is a generalization of John Goering's, SliceJB formula, which makes use of the new 4th and 5th variable parameter entries. Since I still am not able to connect to the Mindspring news server, the GIF image has not been posted to Usenet. But it will be available at Paul Lee's web site as soon as he can render it. The web site can be accessed at the URL: The fractal weather today was sunny but cold, with a temperature of 34F (1C), which kept the cats indoors. And I guess that's it for today. Such frustration is not conducive to philosophical pondering, so there is no philosophy today. If things calm down tomorrow however, the philosophy might appear. The only way to know for sure is to check back then. Until tomorrow, take care, and what would happen if all the possible fractals suddenly ceased to exist? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Impossible_Fractal { ; time=0:12:45.00 -- SF5 on a P200
reset=2001 type=formula formulafile=julibrot.frm
formulaname=SliceJB-new function=ident passes=1
center-mag=-1.82146e-017/1.47451e-017/262.7154
params=0.49/0.49/0.49/0.49/2.00297/0/-1.7434/0/0.000\
216/0.074274 float=y maxiter=18000 inside=0 logmap=62
periodicity=10 colors=000H30<4>H30J30M30O33R6AUEHXMN\
ZXUaf_cnffvmiysmz8qz7us6ym4zf4z_7<2>yHByADw7Ew4F<2>u\
3Ju3Ks3M<2>r3QA2QD4R<2>H8VIAXKBYMDZNE_OFaQHbRIbUJeVK\
eXMgYNgZOk_QmbRqcSreUufVvgXvjYwkZwm_ynay<3>ufzvgzwiz\
yjz<3>zozzqzzrzzszzqz<15>zXzzVzzUz<2>yQzyOzwMy<2>vIy\
vHyvFwuEwuDwuBwsAv<3>r4vr3uq2uq0uq0uo0uo0s<3>n0sk0rj\
0qi0qg0of0ne0nc0mb0k<2>Z4jY6iX7gV7gU8fSAeQBeODcNEbME\
bKFaJHaII_HJZFKZEMYDMXBNXAOV8QU7RU6SS4SS3UU3VU3XU<3>\
2ZU2_U2aU0aU0bV0cV0cV0eV0fV0fV0gV0iV0iV0jV0kV0kX0mX0\
nX0nX0oX0qX<2>0sX0sX0uX0vY0vY0wY0yY<3>0zY0zY0zY0zY0z\
V3zU<2>JzQOzOSzN<3>mzIrzHvzFyzIzzKzzMzzNzzOzzOzzQzzR\
zzRzzSzzUzzUzzVzzX<3>yzZyz_wz_wzawzbwzbvzcvze<2>vzfq\
zkkzqfzvazz<5>bzybzybzwbzw
}
frm:SliceJB-new {; by John R. H. Goering, July 1999
pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1),
b=pi*imag(p1), g=pi*real(p2), d=pi*imag(p2), ca=cos(a),
cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d),
sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd),
q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg,
s=v*sin(a), c=p+flip(q)+(p4), z=r+flip(s)+(p5):
z=z^(p3)+c
|z|<=9
}
END 20.0 PAR-FORMULA FILE==================================
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times.
