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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I named today's FOTD "Cerberus" when, for some reason, I was reminded of the gates of hades. (I used the *good* word for that place down there.) In ancient mythology, Cerberus was the watchdog of Hades, who treated the entering souls with kindness, but ate any souls that tried to escape. Descriptions of the monstrous hound vary, but according to most reports it had at least three heads with poisonous bites, and several snake-like tails. Today's fractal comes nowhere near being a hound of the underworld, but with it's strings of bof60 bubbles and mysterious glowing fiery pyramid in the background, it does have just enough of a surrealistic quality to justify the name. To create the image, I returned to number 4 in my series of 12 MandNewt formulae, a series I have been woefully ignoring lately. The formulae are variations of the Ikenaga function, and I'm still not sure what the Ikenaga function is supposed to accomplish, or why its creator seems to have disowned it. I have rated the image a 7 -- a rating perhaps a bit liberal -- but the colors blend quite well, with the bands in the spheres at the bottom being virtually invisible. Perhaps I'll devote more effort to images such as today's in the future. One thing for sure is that the midgets are starting to become a bit routine. The 8-1/2 minute render time can be avoided by giving Paul and Scott a chance to post the GIF image to their web sites and downloading it from there. Paul's site is at: The fractal weather today was typical of summer in this part of the world, with hazy sun, 89F (31.5C) heat, humidity, and evening thunder-showers in the area. The fractal cats, who enjoy such conditions, except for the thunder, enjoyed the day. As for myself, I'll find my enjoyment when the day's work is finished. And the only way to finish is to start. Until next time, take care, and be careful to avoid the hound of Cerberus. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
Cerberus { ; time=0:08:28.77--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=mandnewt04 passes=1
center-mag=0.221881/2.99156/2.308161/1/-82.5
params=-2.7/0.32/-2.8/-2.21/0.35/-2.04 float=y
maxiter=250 inside=bof60 logmap=yes periodicity=0
colors=000_pz_pyZoyZoxZnxYnwWmwWmvVlvVluUkuUktSjtS\
jsRisRirQhrQhqOgqOgpQfpOfoOeoOenOdnOdmNcmNclNblNbk\
NakNajM`jM`iM_iM_hMZhLZgLYgLYfLXfLXeLWeJWdJVdJVcJU\
cJUbJTbITaISaIS`IR`IR_HQ_HQZHPZHPYHOYHOXGNXGNWGMWG\
MVGLVGLUEKUEKTEJTEJSEISDIRDHRDHQDGQDGPDFPCFOCEOCEN\
CDNCDMDCMCCLCBLCBKCAKCAJC9JC9IC8IC8HC7HC7GC6GC6FC5\
FA5EA4EA4DA3DA3CA2CA2BA4BA4AA4AA49A49A48A489479479\
46946945945944944943943942C42E41H41J10M40O50R60U80\
W95ZAAaAFcAKdANeANfAMgAMhALiALjAJkAJlAImAInAHoAHyc\
8xb6wa5v`4u_2tZ1sY0rX0qW0pV0oU0nT0mS0lR0kQ0UWUSWUR\
YUQZUO_UNaUMbUJcVIdVHfVGgVEhVDhVCjVAkV9lV8mV6oV5pV\
4rV2sV1tV0uV0uS0uU0uV0uW1uW2uY4uZ5uZ8u_9uaAuaCubDu\
cEudGudHufJugLugMuhNujOujQukRulUumVumWuoYupZup_ura\
usaxtbwsbusbusctscsrcsrcrrdrrdppdopdopfmpfloflofko\
gkogjmghmhhmhgmhflhfljdljdljckjbkkbkkakk_jk_jlZjlZ\
jlYhmWhcLmcLmbMmbMoaNoaNo
}
frm:MandNewt04 {; Jim Muth
z=c=pixel:
a=z^3+(c-1)*z-c
b=p1*z^2+c-1
z=z-p2*a/b
p3 <= |a|
}
END 20.0 PAR-FORMULA FILE==================================
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