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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's evaporated image has its problems, but despite its difficulties, it still rates a solid 8. Perhaps its greatest problem is that its magnitude of 1.67*(1013) is beyond the range of perfect definition. But the resulting jagged edges actually add a kind of atmosphere to the scene. The parent fractal came about when I combined 7.5 negative parts of Z^(-1.1) with 0.75 negative part of Z^(-11.4) and added (1/C). It's a typical fractal of its type, with a N-S oriented string of large bays and a very prominent 'fan' extending east along the X-axis. Today's scene lies very deep indeed in one of the small areas of chaos on the bay-side edge of the fan. I named the image "Deeply Evaporated", which pretty much describes it. The calculation time of just over 6 minutes is a bit slower than ideal, but still well worthwhile for an image rating an 8. Of course, all thoughts of calculation may be banished by visiting the FOTD web site at: Sunday turned out to be quite pleasant here at Fractal Central. There was not quite as much sun as on Saturday, and the temperature never rose above 45F 7C, but I actually did nothing for most of the day, which, after yesterday's workout, seemed perfect. The fractally-inclined cats agreed. The next FOTD will make its much-anticipated (I hope) appearance in 24 hours. Until then, take care, and how could the 'Big Bang' have made such a big bang if no one was around to hear the sound of the mighty explosion? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Deeply_Evaporated { ; time=0:06:12.34-SF5 on P4-2000
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandAutoCritInZ function=recip passes=1
params=-7.5/-1.1/-0.75/-11.4/0/1e+100/0/0 float=y
center-mag=+1.537355049906006/+1.289379920883854/1\
.677409e+013/1/79/0 inside=bof61 periodicity=10
maxiter=1800 mathtolerance=0.05/1
colors=000KXLHg7If9IeAJdBJcDKbEKaFL`HL_Ifm5el6dl6c\
k7ck7sj8aj8ii9`i9_hAZhAZgAYgBXfBXfCWeCVeDUdDUdETcE\
ScFSbF`5H_DEZKBYR8XY5Wd2Vc4Uc5LZJTb7Sb8RaAQaBP`CO`\
EN_FM_H00MLsqLqoLpmLokLnjLmhLlfLkdLjcLiaLh_LgYLfXL\
eVLdTLcRLbQLaOL`ML_KwSKuTJtTJsTJqTJpUJoUJnUJlUJkVJ\
jVJiVJgVJfVJeWJInEHhBHc9HZ7HT4HO2HJ0gsqZngRiYJdOB_\
E3W4APMGIcMCuNPsOaqOmoPolQpjRqhSsfTtdTubQkXObSMTNJ\
KIHADF18HEDUTUJaMKmRLyVUnWacWjTWrIWz7WyBUyESyHQxLO\
xOMxRLqUHkWDeYA__6Ua3_Y6dV9`RDYNGVKKSGNOCQL9UI5XF2\
_S3Vd4Qq4MrFRsPVsZ_thctrgaaTKME260c0Jf5HhAGjEElJDn\
NCmKImIOmGTmEZlBdl9il7ol5to4pq4ls3iu3ew2ay2Zr4Tk5O\
d6JY7EcHPiR_o`jvzztdutZusTusNurHurBur6uuExxLzqTrk_\
jdgbZnV000acPi`QqRRyHRVLXn9iZRZzbbeYelUgeQjZMlTInW\
QmYYl_dkZdjZdiYdhYOgXcfnSjWcdWWcVbbVUaUb`Ua_TaZTQY\
SaXROWR`VQ`UQ`TP`SP_RO_QO_PN_ONZNMZMMZLLZK93jA6gB9\
eCBcDE`EHZFJXGMUHPSIRQJUN }
frm:MandAutoCritInZ {; 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)+(p4)),
k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel):
z=k*((a*(z^b))+(d*(z^f)))+c,
|z| < l }
END PARAMETER FILE=========================================
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times.
