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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image is a complete reversal of yesterday's. Though today's image is a blow-up of a small part of the lower left corner of yesterday's, it has none of the hellish malevolence. Instead of the fiery devilish effect, we have a peaceful almost heavenly effect, consisting almost entirely of various shades of blue. I can see no saints or angels in the scene, but who knows what we might find if we were to dig deep enough. Today's image is so different mostly because I evaporated the scene by raising the bailout radius to 1000 and rendered the resulting 'inside' stuff with the inside set to 'atan'. The result is an image that could almost have been taken through the space telescope. It is filled with stars and wispy fractal nebulae, with a few spirals thrown in to remind us that this is the virtual world of numbers, not the presumedly real world of the outer universe. I named the image "Beyond the Unknown". After all, this rather accurately describes most fractals. The rating of an 8 may seem liberal to some fractalists; to me it seems just about right. The calculation time of 4-1/4 minutes actually grows longer if any of the short-cut algorithms such as passes=g or passes=t are used. I guess the algorithms use too much time figuring what to do next and too little time calculating. But all these minor problems may be bypassed by viewing the finished image on the FOTD web site at: A foggy morning gave way to a sunny afternoon here at Fractal Central on Wednesday. The temperature of 75F 24C was just what the fractal cats ordered. In my department things were notably un-notable. Just to keep things un-notable, the next FOTD will be posted in 24 hours. Until then, take care, and walk with N. Lightenment, whoever or whatever he is. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Beyond_the_Unknown { ; time=0:04:14.80-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=DivideBrot5a inside=atan periodicity=10
center-mag=-0.60128109/+0.01548312/232.74/1/-137.50
params=-1.1/0.5/1000/0 float=y maxiter=650 passes=1
colors=000bZutZzuQzuHwv8sv0po6mhCkaHigPdmW`sbXzzzI\
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ZXpWbpRf_MjKSp`Yupczz`zzYzzVzzrzzpzznzzlzzjzzhzzfz\
zezzczzazz_zzYzzWzzUzz7zzAzzCzzFzzHzzKzzMzzPzzRzzb\
zz`zz_zzYzzXzzVzzUzz8zzCzzFzzJzzMzzQzz5zz8zzBzzEzz\
HzzKzzNzz7F08E09E0AD0CC0DC0EB0EA5GAAIBKKBWOCcP0cRD\
sUUz006000PPrOTo1P_000ccz }
frm:DivideBrot5a { ; Jim Muth
z=0, c=pixel, a=real(p1)-2, d=real(p2)+16
b=imag(p1)+0.00000000000000000001:
z=sqr(z)/(z^(-a)+b)+c
|z| < d }
END PARAMETER FILE=========================================
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times.
