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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: When today's parameters are entered into the MandelbrotMix4 formula, the resulting fractal looks like a snail with its head out of its shell, facing east. Today's image is located in a narrow cleft of disconnected chaos near the edge of the back of the snail's neck. Actually, today's midget lies in the northern suburbs of a larger midget in the area. The larger midget, which is a less spectacular version of the midget in today's image, can be seen by resetting the log palette to zero and backing out three zooms. The generating formula subtracts 1.4 parts of Z^(-1.17) from 1.4 parts of Z^(0.87), then adds (1/C) to create the parent fractal snail. The image itself reminds me of an alien flower, thus the name "Fractal Flower", which I shortened to "Fracler". Since I think the image is quite good, I rated it at an exceptional 8. Others may have a different opinion. On my worn-out but still eager Pentium 200mhz machine, the parameter file renders in just under 13 minutes. Much time can be saved by picking up the GIF image from the W.W.Web at: With blue skies, puffy white cumulus clouds, and a temperature of 79F 26C, the fractal weather today here at Fractal Central was once again perfect. And the cats must have agreed, because they spent most of the day in the outdoor world. To add to the excitement, Tippy, the active one, actually caught a mouse and brought it to the door to show me. The mouse appeared to be unharmed, so after praising Tippy, I took the mouse and returned it to the yard. As it scampered away, I warned it to be more alert for predator cats the next time. The philosophy is accumulating while the Philofractal list, having suffered a 'catastrophic' failure, (reminds me of the WTC), remains down. When, and now I'm beginning to wonder if, the list once again becomes operational, I'll have lots of controversial philosophy to share. Until then, the fractals will continue appearing at a rate of one per day on the Fractint list, together with lots of fractal talk, but little philosophy. The next fractal will appear right here in about 24 hours. Take care, and when the going gets tough . . . what *do* the tough do? Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Fracler { ; time=0:12:53.13--SF5 on a P200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-1.039444410280139/+0.71916981442691810\
/5.739517e+007/1/-137.499999948393366/1.5697518258\
1675643e-007 params=-1.4/-1.17/1.4/0.87/0/5 float=y
maxiter=2500 inside=0 logmap=253 periodicity=25
colors=000Q0WS0UT0SU0PV0NW0KY0J_0Na1Qc2Ud4Ye5ah6di\
8hj9kmAonBsoCvmEtkFsjGriIphJogKmeLkcLjbNi1EO5GP8IP\
AJQEKQGLQJNSNOSVPTSQTUPTUOJTNJGL9KL8NO8PR6TT6VW5YZ\
5aa4cd4eg2ii2kk1no1rr0tt0vv0tn5sgAp_FoTKmLPkEUj6ZP\
Ld2V6TV6pQVpTVpUWpUGpU0sP0tL0vI0wK0yN0zP0zS0zU0zV0\
zY0za0zZ0zW0zU0zS0yP0vN0uK0sI0pF0oC0mA0kB0iC0hC0dB\
0aA0Y90U80Q60N50J40F20B10800400000211542852A84C94F\
B5IC5KF6NG6PJ8SK8UN9WO9ZQA_SAaQ8aQ5bQ2bQ1cQ0cQ0cQ0\
eP0gO2hN5iL9jKCkJFmIJnGLpFPrETsCVtBZuAbv9dw8hy6jv9\
htBgsCdpFcnIamJ_jLYhOWgPUdSTbUQaVPaVOaVOV_YPeeSaeU\
YeVTeYPe_KdbGdcBde8dh2di0db2YW5SQ8LKBEEE88G11J0NVA\
egPyscvrburasparp_ppZnoZmoYkoYUSmB4zNAzWGyeLwoSvyY\
uzbttchecYScLEcAehZzmuzksujrojojinehk_hjVghQigKkdF\
ncApa4s_0uY0wW5zYGzYSzZbzZmz_wz_zz_zzbyzcuzdrzenzg\
ozcpz_pzWrzTrzPQzZ0zhzzCyzFpzIhzK_zNTzOKzQBzT2zV0z\
W4zLCzAKz0LzELzSLzcOzaPzZ
}
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 20.0 PAR-FORMULA FILE==================================
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times.
