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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I named today's image "Fractal Watermelons" because it reminds me of watermelon slices, one of a young boy's supreme summer pleasures. Unfortunately, the melons are not quite ripe, so the image can be rated at only an average 5. The image is a scene in the Z^1.7+C Mandeloid, sliced 23.5 levels up the logarithmic hyper-spiral. This parent fractal is a large open ocean with an extended area of chaos on the southern shore and a prominent bud on the eastern shore. The midget at the center of today's image mirrors the shape of its parent fractal. It is located on the inside of the southern branch of the valley of the eastern bud of the parent. No sign at all of symmetry exists around the midget, a situation which is not unusual in fractals of fractional orders. An interesting variation of today's scene can be found by re-setting the logmap from 129 to zero and re-running the parameter file. I originally had intended on using this version of the scene, but decided on the watermelon version instead. One of the better features of today's FOTD is that the parameter file renders in around 5 minutes. The download of the file of the GIF image is marginally faster however, and can be found at: The fractal weather Thursday here at the fractal shoppe was miserable to say the least, as an east wind off the ocean brought low clouds, fog and drizzle to the area. The chilly temperature of 54F 12C and wet grass kept the fractal cats confined to the porch. But all was not lost. Sensing a foul cat-mood developing, I offered them a treat of tuna, which kept their spirits bright throughout the dismal afternoon. Once again I find myself with work to do and a day in which to do it. Since I always feel better when work is finished early, I'd best get started. Until next time, take care, and when the going gets tough, the tough get a fractal going. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
FractalWatermelons { ; time=0:05:41.30--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=1
center-mag=+0.76131218871775200/-0.107523473417372\
70/51471.42/1/-62.5/-2.52404971923247956e-011
params=1.7/0/23.5/0 float=y maxiter=12000 inside=0
logmap=129 symmetry=none periodicity=10
colors=000VHAXIAZJAcKAhLAmMArNAwOAzP8cg0Xz0Wf0WO0W\
60W00HIM4lq3go2eo1bo1_o0Wo0So0Po0Mo0Ko0Go0Do0Ao08o\
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zO_zSbzXcz`ezefzgizlkzqlzumzxozukwrgqqclm`fkY`iUWf\
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DZ8BZ6BZ3AZ2AZ09Z09Z08Z08Z06Z06Z04Z04Z06Z08Z39Z9AZ\
EBZKDcPEnUGt_HueIwkKxqLzwMzzOzzPzzPzzLutHzkDz`AzS6\
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_zMbzIezEgzAkz8lzBkzGkzKkzOizRizWiz_gzcgzggzkfzofz\
tfzxezzezzezzbzx`zu_zrYzoXzlWzgUzeSzbRz_PzXOzUMzXL\
zYKz_Kz`IzcHzeHzfGzgGzkEzlDzmDzoBzqBzmAzk9zg8ze6zb\
4z_4zX3zU2zR1zO0zL0zR8zXEzYGz_Gz`Gz`HzbHzcHzcIzeIz\
fIzfKzgKziKziKzcGz_DzUAzP6zK3zE0zG1zG2zG4zH6zH9zHA\
zHBzIEzIGzIIzKKzKMzKOzY1z
}
frm:MandelbrotBC1 { ; by several Fractint users
e=p1, a=imag(p2)+100
p=real(p2)+PI
q=2*PI*fn1(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| < a }
END 20.0 PAR-FORMULA FILE==================================
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times.
