|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: In today's fractal I mixed Z2 and Z^(0.1). This combination creates a parent fractal that resembles a Mandelbrot set with its west, north and south sides torn apart. Today's image is located in what remains of the north bud of the M-set. Most of the effect of hazy lavender circles was achieved by calculating the image with the inside set to 'bof60', which colors the inside according to how close the points come to the origin. I did not name or rate the image, since it's more a show of Fractint's program features than a fractal that is worthwhile in its own right. The calculation time of 5-1/3 minutes is a bit slow. A faster way of viewing the image is to go to the FOTD web site at: I have seen comments on the list about the slow-down that happens when Fractint is run under the version of DOS in Windows XP-Pro. Once the slow-down kicks in, the only way I know to defeat it is to baby-sit the machine and strike a key every minute. But I think I have found a way around the problem, which totally avoids the slow-down and lets fractals calculate at top speed to completion without human intervention. I will do a few more tests to see if I am right, then post my findings in a day or two. The Friday weather turned out near perfect here at Fractal Central -- blue skies, light winds and a temperature of 64F 18C. The cats seemed not to notice the perfect weather. They were more concerned with finding trouble to get into. In my department, the big rush, which has been going on for over a month, is almost at its end. And it sure will be good to have things back to normal. The next FOTD will appear in 24 hours. Until then, take care, and a paradox arises when we try to squeeze into our limited concept of reality something that will not fit there. A typical example is the grandfather paradox. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FOTD_for_Mar_31_07 { ; time=0:05:20.65--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident float=y
center-mag=-0.96998637854805090/+0.605163364931592\
80/3203.329/1/-102.5/1.85112133954667968e-011
params=1/0.1/1/2/0/0 maxiter=1500 periodicity=10
inside=bof60 logmap=yes
colors=000zezxbzt`vnXrhTmbPhXKcRGZKCUE8PA5051000K0\
0A000000A0A00K00PP0tN3vI7zECzCIz8Nz7Tz3Zz0bz0hz0oz\
0tz0vz1vz7xzAxtGxmKzfPz`VzTZzNdzGfz8lz3pz0sz0qz0mz\
0fz0bz0Xz0Tz0Pz0EzA5tN0mX0fh0`t0Vz0Pz0Tz0Xz0`x0kq0\
nk0pe0rZ0tT0vN0xG3zA7z5Az0Ez0Iz0Gz1GvCErPEm`ChmCcz\
5cx0cv0ct0cq0co0fm0hm0kf0mb0mX0oT0oN0qI0sC0u80v5Ny\
0cz0mz5XoCGeK1VT3XN5XI7ZE7ZA8Z5A`1A`0Cb0Eb0Eb0Ge0I\
e0Ie0Zq0oz5zzNzzbzzZzzXzqTzfRzXNzNKzCGz3Ez0Cz0Ez0E\
z0Gx0Gv0It0Iq0Ko0Km0Nk1Nh1Pf1Pe3Rb3R`3Rb7VbAZbC`bG\
ebIfbNkbRobTqbXvbZxbbzbfzbhzbmzbozP`zAPz0Az00z00z0\
0z00z00z03vACoNNhZXbmfXzqRzzKzzGzzKzzNzzRzzTzzXzzZ\
zz`zzezzfzzkzzmzzqzztzzvzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\
zzzzzzzzzzzzzzzzzzzzzzzzz }
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 PARAMETER FILE=========================================
|
times.
