|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: After a day of scraping the remains of worn-out carpet padding from the floor of the soon-to-be new Fractal Central, I took a break to wander through the land of fractals. My path led me to my MandNewt series and stopped at number 11 of that series. The fractint evolver took it from there, producing several likely candidates for today's FOTD. I chose the thumbnail that seemed most promising. The full sized version of the one I chose may not be the best FOTD of all time, but it certainly is one of the most spectacular. It leaves me a bit humble, since my computer found the image instead of myself. I created the color palette however, and this makes the image at least half mine. I named the image "Will-o-the-Wisp" when I was reminded of those elusive ghostly lights sometimes seen in marshy areas at night. The actual lights are created by the slow combustion of gases released by the decay of rotting vegetation. Today's fractal was created by something almost as mysterious -- the Ikenaga function -- a function apparently disowned by its creator. Eleven minutes are required to render the image from the parameter file on a Pentium 200mhz. On one of the new PentiumIV machines, it should render in only a minute or two. And thanks to Johnathan, my parameter files now record the color information without compression error. Those who would rather download the GIF image than run a parameter file may find the image posted to the following two sites: The fractal weather today presented a taste of spring. Considerable sun and a temperature of 66F (19C) let the cats enjoy a long comfortable afternoon in the yard, the only problem being when Tippy chased after a squirrel. The squirrel escaped up a tree, from where it scolded Tippy loudly. I see that it's now time to shut down the fractal shoppe and call it a night. Until next time, take care, and for every fractal that promises much but delivers little, there's a fractal that promises little but delivers much. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Will-o-the-Wisp { ; time=0:10:50.32 -- SF5 on a p200
reset=2001 type=formula formulafile=mandnewt.frm
formulaname=MandNewt11 passes=1
center-mag=0.365226/0.0638868/14.08371/1/180
params=-1.38/-0.99/-1.98/0.47/-0.48/3.46 float=y
maxiter=250 inside=bof60 logmap=yes periodicity=0
colors=000zzzzzzzzzzzzzzyzzxzzwzzvzyuzxtzvszurzsqzrp\
zqozoozmozkozjoxioxgoxfoueoucouaos_oqZoqXooWooUolTol\
RojQojOohNohMofKofIodHodGoaHoaEoaDo_DmYClYBkWBjWBhU9\
gU9eS9dS9aQ9_O8YO8WM8WM8UK8SK6SI6QI6OG6OE6ME6KD5KD5I\
B5GB5G95E93D83D83B6395395283263262252231131120110110\
1001000000000000000000000000000000000000000000000000\
000000000000000000000000000000100200300500600800900B\
00D00G00I00K00M00O00Q00S00U00W00Y00W00U00U00S10S10Q2\
0Q30O50O60M60M80K90KB0ID0ID0GE0EG0EI0DK0DK0BM0BO09Q0\
9S08U08U06W06Y05_05a03a02d02f01h01j00j00l00o00q00s00\
s00u00x00z00z00z00z00z00x00u00s01q02o05l06j08f0Bd0Da\
0G_1IY2MW2OU3SS5UQ5WQ8UQ9SQBOQDMQEKQIIQKGQMDQOBQQ9QU\
8QW5QY3Q_2Qa1Qf0Qh0Qj0Ql0Qo0Wl0_j0fh1jf3od5ua8z_BzYE\
zWIzUKzYQz_UzdYzfaxjfuljsooossluxhzzfzzdzz_zzYzzUzzS\
zzQzzMzzKzzIzzEzzDxzBsz9oz6lz5hz3dz2_z0Wz0Sz0Oz
}
frm:MandNewt11 {; Jim Muth
z=g=pixel, a=real(p1), b=imag(p1), c=real(p2),
d=imag(p2), e=real(p3), f=imag(p3):
h=z^a+(g-b)*z-f
j=c*z^d+g
z=z-e*h/j,
.0000000000000000000000000000005 <= |h|
}
END 20.0 PAR-FORMULA FILE==================================
|
times.
