|
Fractal of the Day
by Jim Muth
|
|
Fractal visionaries and enthusiasts: In the constellation of Cygnus, which is directly overhead in the summer months at a latitude of 39N, there is a delicate nebula, the remnants of a supernova explosion that took place some 25,000 years ago. It is called the Veil nebula. The delicate traceries surrounding today's midget remind me so much of that celestial sight that I named the image "Veil Nebula". After naming it, I gave it a rating of 6, since it's not at all a bad picture, though the somewhat excessively intense colors keep it from a higher rating. The image once again takes advantage of the MandelbrotBC formula, this time applied to the Z^2.003+C Mandeloid. This is the fractal with that most curious rectangular object in the Julia set of the East Valley area of the prominent midget on the infinitely-divided negative stem. I found today's scene when I went looking for that object in the JuliaBC formula, and failing to find it, turned instead to the MandelbrotBC formula to have some fun with the Mandel aspect. Using Fractint's evolver feature, I located the section with the most interesting branch cuts and started exploring. Within 10 minutes I had found a whole nest of midgets just past the midget on the stem, a stem which in this case points in the positive direction. Today's midget is a minor member of that nest. With a render time of just over 2 minutes, the parameter file is probably the best way to view the scene. But for those who enjoy travel, the file of the GIF image will soon be available on the WWW at: The weather today, fractal weather that is, was near perfect. Only a slightly chilly temperature of 65F (18C) kept it from being absolutely perfect. The fractal cats helped me enjoy the day by watching me trim the grass, keeping safely out of the way whenever the mower drew near. Due to too much enjoyment, I had little time for idle philosophical pondering. I ponder best while working on dull routine jobs or while waiting for fractals to generate. I ponder very poorly while trimming lush wet grass with a lawn mower with a blade in need of sharpening. But the next FOTD is only 27 hours away, 39 hours if I don't post it until Monday morning. That is ample time in which to ponder. To see whether or not I actually ponder, check then. Until then, so long for now! Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Veil_Nebula { ; time=0:02:12.54--SF5 on a P200
reset=2001 type=formula formulafile=branchct.frm
formulaname=MandelbrotBC passes=1 float=y
center-mag=1.78204/0.00403291/4113.286/1/-99.999
params=2.003/0/1040.877965636158/0 maxiter=1500
inside=0 logmap=33 periodicity=10
colors=000J0EL0EN0HP0KR0NU0QW0TY0W_0Zb0ad0df0gf0jh\
0mh1pk5sk8unCwnHznJzpNzpRzsWzs_zudzuhzwnzwszwuzupz\
skzphzndzkbwhYsfWndRhbPd_L_YJWYFPWCLU8HR7CP38N15L0\
1J00H00F00C00C00A00A00A10A70AC0AJ3AP5AW8AbCAhHApJA\
wNAzRAzUNzdYznhzzuzzzzzzwzzwzzuzzuzzuzzszzswzsuwps\
wpnwpkunhunfunbsk_skYskWphUphPphNnfLnfJnfHhdAfb7db\
3b_0__0WY0UY0RW0PW0NU0LU0PP0RL0UJ0WF0YC0_80b70d30f\
10h00k00p00s00u00w00z00z00z00z00z00z00z00z00z00z00\
z00z00z00w00u30s73sC8pHCnNHkRNhYRfYWdYbbYf_Yk_YpdY\
hfYdhYYkYUnYNpYJsYCuY8wY3zY0zY0zY0zY0zY0zY0zY0zY0z\
Y0zY0kY0WY0FY01Y00Y00Y00Y05Y0AY0HY0WYCkNRzCfz3wz0z\
z0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0\
zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz\
0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0z\
z0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0\
zz0zz0zz0zz0zz0zz0zz0zz0z
}
frm:MandelbrotBC { ; Formula by Andrew Coppin etal
e=p1
p=real(p2)+PI
q=2*PI*trunc(p/(2*PI))
r=real(p2)-q
Z=C=Pixel:
Z=log(Z)
IF(imag(Z)>r)
Z=Z+flip(2*PI)
ENDIF
Z=exp(e*(Z+flip(q)))+C
|Z| < 100
}
END 20.0 PAR-FORMULA FILE==================================
|
times.
