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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Curiously enough, the parent fractal of today's image, which has perfect XY-axis symmetry, rather resembles a flying saucer bearing alien visitors from outer space. This explains why I named the image "Alien Visitation". I have no idea why the parent fractal should have this symmetry at the unlikely height of 71 floors up the logarithmic ladder, and then only when no function is applied. But I suspect that, like the 'cosxx' function of Fractint, using no function with the MandelbrotBC3 formula creates a serendipitous mistake. I also suspect that the fractals that result with this formula appear in a circular repeating series rather than an infinite line of always-new images. Today's scene is located very near the X-axis at the eastern edge of the main bay of its parent. Due to the Y-axis symmetry, a similar scene exists at the western edge of the bay. Most of the action in today's image consists of the 'fmod' inside fill. The rating of a 7 is conservative enough to be honest and liberal enough to be interesting. The calculation time of 7 minutes is a bit on the slow side, but fast enough so that no one will have an attack of acute impatience. The finished image will be, or may already be, posted on the FOTD web site at: Tuesday started with a bang here at Fractal Central as a very strong thunder-storm moved in, with flooding rain, crashing thunder and roaring wind. The fractal cats weathered the storm under the bed; FL weathered the storm in the rear window, watching the flowers in her garden being flattened. I weathered the storm in the front window, enjoying the show. The rest of the day featured cloudy skies and a threat of more rain, which never developed, and a temperature of 75F 19C. With the big rush job just about wrapped up, things are returning to normal here at F.C. Though I had little time to write today's fractal discussion, the discussion for tomorrow's FOTD should be more elaborate. That next FOTD will be posted in 24 hours. Until then, take care, and I'm undecided whether to vote for a 'rock' star or a beauty queen. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Alien_Visitation { ; time=0:07:02.02-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC3 function=ident passes=1
center-mag=+1.112397863899667/+0.005607924256098/6\
713.695/1/46.5/0 float=y inside=fmod periodicity=10
params=1.6666666666667/0/71/0 maxiter=1000
colors=000aM`bPZbSXcWVcZUdaSdeQehOekNXRXP7eQ8dQ8dQ\
8dQ9dQ9dQ9dQAdQAdQAdQAdMBaIB_EBYBBW7BU3BS0BQ6HTCMV\
IRXOWZU`c_fhekmkqrqwvzzzqwvlqrgkmbfhYaeTYcOTbJOaEJ\
`9E_5AZN0SJ7TGETDLTARU7YU4dU1jUqJFpKEoKDnKCnKBmKBl\
KAkK9kK8jK7iK7hK6hK5gK4fK3fK3HhwIfuIdtIbsI`rIZqIXp\
IVnITmIRlIPkINjILiIJhHGbHDXHBRH8LH5FN3KP6NR8PRASRD\
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rxFszFsvFsrFsmFthFtcFtZFtUNpQVmO_kVahXaeZab_a_a`Xb\
`Ud`Re`Og`MhZNfXOeVPdUPcSQaQR`OS_NSZLTXJUWHVVGVUEW\
SCXRAYQ9YPFSrEUqDWpCYoB_nAam9clAGD9HE9HE9HE9HE9HF9\
HF9HF9IF9IF9IG9IG9IG9IG9IG9JH9JH9JH9JH9JH9JI9JI9KI\
9KI9KI9KJ9KJ9KJ9KJ9LJ9LK9LK9LK9LK9LK9LL9ML9ML9ML9M\
LejGbj9_j2_c6_YA_RE_LI_EM_8Q_2TW6TS9TODTKGTHJTMOQR\
TOVYM_UTdQ_iMfnImrFtlJqfNn`QkVUhPXeJ`bEc`JYWNTRRNN\
WII_CDc79gD9kJ9nO9rU9v_9yd9x`MxYYwViwSu_TsDUqj8GXN\
NJaU5p_7lY8iWAeVKrzGhpCdp }
frm:MandelbrotBC3 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(p/(2*PI))
r=real(p2)+PI-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| < a }
END PARAMETER FILE=========================================
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times.
