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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Who can forget Pac-Man? It was one of the first computer games. In the game, a yellow ball with a big mouth ran through a maze, gobbling up energy pills and avoiding ghosts, except when the ghosts became vulnerable. I assumed I'd seen the last of the yellow fellow a few years ago, but what should show up on my screen today but a Pac-Man. Well, actually it's not a Pac-Man but rather a mis-shapen midget in the Z^(sqrt2)+C fractal. If the midget were black, I might have seen Marvin the Martian when I studied it, but it is yellow, so "Pac-Man" it is. Yes, I realize that Pac-Man's mouth is too small, and he actually seems to be drowning, but it is Pac-Man at the center of today's image. There is no doubt of that. I named the picture "Pac-Man Strikes Again". Just when we assumed the little gobbler was gone for good, he shows up to annoy us again. With the outside set to the normal <iter>, the image is all right, but just average. The setting of <tdis> makes the image just striking enough to qualify as the first FOTD for the month of July. The image has been rated at a 6 -- slightly above average. But this rating is true for the 640x480 resolution. At a higher resolution the bands become better defined, and the rating jumps to a 7. The render time of the parameter file is a relatively slow 29 minutes and 14 seconds on a 200mhz Pentium at 640x480. As is always the case, the GIF image will soon be available on the internet at: The fractal weather today was hazy, hot and humid, with a temperature of 96F (35.5C) and a noisy thunder-storm with heavy rain in the evening. The cats took it easy in the yard all afternoon and hid themselves when the storm came up. It's now time to enjoy (if possible) a relaxing Sunday. But I'll return at the usual time with another fractal to awe and inspire. Until then, take care, and fractals are more fun than a barrel of Pac-Men. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
PacManStrikesAgain { ; time=0:29:12.18--SF5 on a P200
reset=2001 type=formula formulafile=allinone.frm
formulaname=MandelbrotBC1 function=floor passes=1
center-mag=+0.28719980382691/-0.683275948032916/71\
42.408/1/-37.5 params=1.414213562373/0/-4/0 float=y
maxiter=12000 inside=255 outside=tdis periodicity=9
colors=000GnYFmaEleEkhDjlCipBhsAgwAgzFfvJesNepRdmV\
cjZcg`_bbWZdSVfPQhLMjHIkEEiHDhKCgNBfQAeT9dW9bZ8aa7\
`d6_g5Zj4Ym4Ue5RY6NQ7KJ8MKANLCOLDPMFQNHRNISOKTOMUP\
NVQPWQRYRSZRU_SW`TXaTZbU`cUadVceWefWfgXhhXigWggWeg\
WdgWbgWagW_gWZgWXgWWgWUgWTgWRgWQfTTeQVeNXdLZdI`cFb\
cDd`BYY9SV7LS5FQ49S6AU8AW9AYBA_CBaEBcFBeHBgICiKCkL\
CmNCoODqQDsRDuTDwUDxXGx_IybKyeMyhPzkRznTzqVfe`NVf3\
KlEOcOSVYWNg_Eqb6n`Ak_EiZIfYMcWQaVUZUYWTaUReRQiOPm\
MOqTNg_MZfLQmKHsK8mMBgNDaOFWQHQRJKSLFTNFSMGSMGSLHR\
LHRKIRJIQJJQIJQIKPHKPHLPGLOGMOFNSCMOFLKHKGJHANKDLN\
FJQHHUP9TJGSENR8UJTAR3`P8cNCeLGhKKjIOmGSoFWrD_tBcw\
AgyCevEdtGbrIapK`nMZkOYiQXgSVeTUcVT`XRZZQX`PVbNTdM\
QfLOhJMjIKkHI97gA8fB9fCAeDBeECdFDdGEdHFcIGcJHbKIbJ\
FdLIbNK`PMZROYTQWVSUXUSZWR_YPa_NcaMecKgeIigGkiFmkD\
omBvt8poAkkBefC`bDWZEQUFLQGEKHGMHHNHJOHKPHLQHNRHOS\
HPTHRUHSVHTWHJrKJqNIpRzr0
}
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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