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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Quite an un-impressive fractal results when Z is mixed with Z^3 and C is added. The little M-set standing on its spike inspires little urge to investigate further. And why bother? Its inner details are little more than the stuff we are all familiar with in the classic M-set. But its East Valley, which now lies on the north side of the main bay, is a different story. The valley has split asunder, and beyond the split lies a brand new bay. Today's scene is located on the shoreline of this new bay, quite near the point where it joins the main bay of the M-set. Today's image shows the environs of a tiny midget buried at the limit of resolution. The scene lies so deep in fact that the 'mathtolerance' entry was necessary to be sure the image renders at the correct magnitude. Most of the image consists of 'inside' stuff made visible by the 'bof60' inside fill, which makes its coloring unusually smooth. I gave the picture no name, though I did give it a rating of 7. The calculation time of 7 minutes may be avoided by downloading the pre-rendered GIF image from the FOTD web site at: BTW, as soon as F.L. and I are settled into the New Fractal Central, I will take advantage of Paul's offer to upgrade the 10-year-old present FOTD web site. Perfect weather and perfect cats, that's how it was here at Old Fractal Central on Wednesday. For me, the day was far too busy to be perfect. The next FOTD is unlikely to be perfect either, but unless something goes drastically wrong, it will appear on schedule in 24 hours. Until then, take care, and where does the individual person stop and the outer world begin? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
FOTD_for_20-04-06 { ; time=0:07:04.23--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident float=y
center-mag=+0.00683994188501626/+0.007202924078708\
30/4.132172e+012 params=1/1/1/3/0/0 maxiter=3000
inside=bof60 periodicity=10 mathtolerance=0.05/1
colors=000JRUKSVLTWMUXNVYOWZPX_QY`RZaS_bT`cUadWbeY\
cf_dgaehcfifgjihklilojmrknulmtmksliqjgpiengdmfckda\
jb`i`_eZYbXW`UUZSRXRPVRNVQNXRNYTN_VO`YOb_Ob`NcbMcc\
MddLdfLegKehJfjJfkIflIUIjXMfZPbaSZcVVeYRhaNjdJlgFo\
jBqm7sp4pn8mmCjlGgkKdjOaiSciRdiQeiQfiPgiPhiOiiOjiN\
qiNwiMwiMsiLoiLqiKriKsiJtiJuiIviIteGsbEr_CqXAoT8nQ\
6mN4lK3jH4iE4hC4f94e64d44_37V3AQ2DL2GG2JB1M61P11R5\
3S94TD6UH7VL9WPAXTBXXDY`EZdG_hH`lJapKbtLbsPgrSkqVo\
pYslXmiXgfWbcWX`WRYVMVVGSVBTUCTTCTTDTSDURDUREUQEUQ\
EVPFVOFVOGVNGWMGWMHWLHWLHXKIXJIXJJXIJYHJYHKYGKYGKZ\
GL_GL`GMaGMbGNcGNdGNeGOfGOgGPhGPiGQjGQkGQlGRmGRnGS\
oGSpGTqGTqGToMVnRXmWYla_kfajkbhmefogepicrlbsn`up_v\
sYxuXywapnehfi_YmSQqJHuB9y31w45v48u4Cs4Fr4Jq4Mp4Pn\
6Rl7Sk8Ui9VhAXfBYdC_cD`aEb`FcZGeXHfWIhUJiTKkRLlQMm\
RLjSKhSJeTIcUHaUGZVFXVEVYJ``OecTkfXphTnjQmlNlnKkoG\
iqDhCKNDLOEMPFNQGORHPSIQT }
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 PARAMETER FILE=========================================
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