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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: My FOTD discussions will be shorter than usual while I am locating and assembling the early FOTD discussions for the upcoming FOTD-CD. These discussions, which were posted to the Fractal-Art list, are scattered on many disks, where they are mixed in with my other e-mail of the time. I'll start with a message I posted April 1, 1997. Though there was no FOTD before April 13 of that year, I was quite active with other fractal-related letters on the Fractal-Art list for a couple weeks before starting the FOTD. If all goes well, which it probably will not, the CD could be ready by the end of this year. Today's image pictures one of those evaporated midgets that isn't there. But even though the midget isn't there, its ghost remains, haunting the area the midget once inhabited, and can be revealed by setting the inside to something like <bof61>. This is exactly what I did in today's FOTD. A midget evaporates when the generating formula contains a negative exponent of Z, and the escape radius is raised to an extreme value. In today's image for example, the escape radius is 10^100. I named the image "Bits and Pieces" when I saw its fragmented nature. Then I rated it a 6 because IMO it is only a little above average. The image is a reasonably fast one, rendering from the parameter file in a bit under 5 minutes on my aging Pentium 200mhz machine. It will also be available on the internet within the hour at: The fractal weather today was absolutely perfect, with brilliantly sunny skies, dry air, and a temperature of 79F 26C. The fractal cats, who give no thought to fractals, enjoyed the perfect day. In the afternoon, a squirrel ventured into the yard. Thomas twitched his tail at the intruder, but was having too good a rest to get up and go after it. Tippy was totally out of the world, somewhere in dreamland. Well, it's once again time to get busy with other matters. Until next time, take care, and don't be artificially intelligent. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Bits_and_Pieces { ; time=0:04:52.15--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+0.32632834999987630/+0.440403604943206\
10/7568754/1/112.499 params=-97/-2/-291/-4/0/1e+100
float=y maxiter=600 inside=bof61
colors=000s8Ut8Xt8_u8av8dv8fw8i_hzuBisDhqFgoHfmJek\
LdiObgQaeS`cU_aWZ`YY_UU_QR_hz_JKZFGZCDZ89Z56V78R89\
OAAKBBGDDDEE9GF5HG2IHKIK6MF7OE9QEBSDCUCEWCKXBHZAP`\
AKb9Ud8Of8Zh7Rj6ck6QR6O76N88M99LAAKBBJBCICDHDEGEFF\
EGEFHDGICHJBHKEIPGJUIKYLLbNMgPNkSOpUPuWQyU_lTh`ZZW\
dPSgGQk5Sj7Qj8Pj9NjAMjCLzDJzEIiFHiGFiIEiJDzKBiLAiM\
9jKDkJHkHKlGOlERmDVmBYnAan8do7hC_ko6kn7jm8jl9jkAjj\
BjiCjhDjgEjfEjeFjdGjcHjbIjaJj`Kj_LjZLjYMjXNjWOjVPj\
UQjTRjSSjWPqURmSSjRUgPVdOWaMYZLZWJ_TIaPGbMFcJDeGCf\
DAgA9i77j46k17f58a88XB9SE9NHAIK69Q8BOADNCEMEGLGIKH\
JJJLILMHNOGPQFRRESTDUUCWWBYYA_Z9a`8ZT0`Y4ba7deBeiE\
gmIiqLkuPlySjwRiuRgtQfrQdpPcoPamO`kOZjNYhNWfMVeMTc\
LSaLQ`KPZKMXIOYKQZLR_MT`NVaPWbQYcRZdS`eUbfVcgWehXg\
iZhj_jk`klammcondpoerpftsfspgsnhrkiriiqfjqdkpakp_l\
oXmoVnnSnnQomNptCrpHqmLpjPogTndXm``lYdkVhjSliOrjPp\
iQnhQlgo8Fp8Ip8Kq8Nr8Pr8S
}
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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times.
