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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The parameter file of today's fractal is abysmally slow. The two hours required for it to render is far too long to tie up a computer just to see a Fractal of the Day. I don't know what makes it run so slowly. The maxiter of 12,000 is high, but not too unusual, and the magnitude of 9.7e+009 is also high, but I've done many fractals with a higher magnitude that ran in only a few minutes. The logmap of 539 is right in the ballpark. I guess the slowness will remain forever a mystery. But fear not fellow fractalers, for the GIF image has been thoughtfully posted to: The image itself, slow as it is, is a scene in the fractal I have named "Parent Fractal". The exact location is in the right corner of the fan, where it joins the adjacent element. As I said earlier, this parent fractal is rich beyond belief, and fractals far more impressive than today's will be coming from it in the days and weeks ahead. I couldn't think of a name for the picture, so I settled on a name that sounds good but says nothing. I named it "A Nice Fractal". The image rates an above average 7, mostly because of its rather striking three-dimensional elements swirling gracefully about. The fractal weather was perfect today, with sunny skies and a temperature of 77F (25C) that lured the cats outdoors for the afternoon. Such perfection is most unusual for August. I skimmed an article in Scientific American magazine this afternoon, which postulated that higher dimensions may exist unseen all around us. The article also went on to state that parallel universes like and unlike ours may exist in the hyperuniverse. This kind of stuff always brings out the armchair philosopher in me, so prepare for another notable philosophical outburst in a few days. When it comes, the outburst will appear on the Philofractal list. Well, I see it's time to shut down the old fractal shoppe for another day, feed the fractal cats, and take up my dozing position in front of the TV. Until next time, which will be in 24 hours, take care, and fractals may cure indigestion. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_Nice_Fractal { ; time=1:50:33.16 -- SF5 on a P200
; Version 2000 Patchlevel 14
reset=2000 type=formula formulafile=critical.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=+1.179380127456936/-2.951147778755755/9.7\
34886e+009/1/-142.5 params=-1/-11/-11/-1.1/0/800
float=y maxiter=12000 inside=0 logmap=539 periodicity=9
colors=000QWk<2>SYmTYnU_oVZpWaqX`rYcsZat_eu<2>bhxchx\
diweiwfkw<3>jlwkmwlmwmnz<5>sldtl`ulY<3>ykJzkIxgH<5>m\
S8lQ7iN5<2>dF1bC0`90Z70Y40V10U00U10U40U54U87U99UCEUF\
HUHJUJNUKQUNSUQWURZUU`UVdUYgRWhUZiV_k<2>Zcm_dmbfncgn\
dhofiqgkqhlrkmrlnsmounquorvvrwqsvmuuiusfvsbwrZwqVxoR\
zo<2>FzmMskRmhYffb_ciQ_gU`fWbcZbb`c`ccZfdZhd`kfcmg<3\
>mwiozirzkuzmqzkmzhiwgfsdbocZl`Vh_RcYNWWJQUEMS0IQ<2>\
05K05IzZHxOEKSCRV9YZ8cb5id4oh1vk0zn0zq0ug7hYHWNQJCZ7\
0i51g<3>5I`5M_5QY5UW5YV5`S5dR5hQ5lN<3>5zH5zF5zE7zJ8z\
N8zS9zWBz`BzdCziCzmEzrFzvFzzHzz<2>HzzHzzHxzHvzHuzHrz\
HqzHnzHlzHkzHhzHgzHdzHczSizVlz<4>grziszluz<2>sxzvzzx\
zzzzzzzzxzz<3>izzfzzbzz<3>MzzIzzEzz<2>1zz5xz9vzCszHq\
zKnzNkzRhz<2>``zQ_zR_zS`zU`zU`zV`zW`zYbzZbz_bz
}
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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