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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal formula mixes 0.2 part of Z3 with 0.2 part of Z^(-4), then adds C to create a broad ring of various fractal holes and filaments with X-axis symmetry. Today's image is located in some fractal debris near a large, vaguely Mandel-shaped open area near the northern extremity of the parent fractal. I named today's image "Ample Backlighting". While studying the image I had a strong impression that the brilliant yellow-green fringed foreground objects are strongly backlit. But it takes more than backlighting to make a great fractal, so I could rate the image no higher than a 6, which is not all that bad BTW. The calculation time of just over 5 minutes is about what would be expected for an everyday fractal. And as always, the minor task of calculating the image may be avoided by going to the FOTD web site at: A totally unpleasant day here at New Fractal Central on Friday, with rain and a temperature of 39F 4C, left the fractal cats unmoved. Their entire afternoon was spent annoying the decorated tree, climbing up into it, knocking ornaments off the branches and batting them up and down the hallway. To add insult to injury, some cat actually dropped a tiny decorative angel into Cassie's water dish. My day continued hectic. The work was only average, but the holidays are near and much remains to be done. If all goes well, and why should it not, the next FOTD will appear in 24 hours. Until then, take care, and is anyone else on the lists? Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Ample_Backlighting { ; time=0:05:09.45--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident logmap=79
center-mag=-0.7122095815896/+1.0272519336432/12396\
7.3/1/55/-5.86103452854258578e-008 periodicity=10
params=0.2/3/0.2/-4/0/0 maxiter=1500 inside=0
float=y
colors=000XmcWmeVlhVlkUkmTkpSjsUmySjuQhrPeoNclL`hK\
ZeIWbHU_FRWDPTCMQAKN9IKGNLMRMT`NazizzZZ_OYQD_J0XH2\
UG3RF4OD6LC7FC5IB8KBBMBDOBGQAISALUANWAQYAS_9Va9Xc9\
_e9ag9di8fk8im8ko8nq8poAnmBmkCkiEjgFieGgdIfbJd`KcZ\
MbXN`VO_QUUSRXUPZWNaYLcZJf`HhbFkdDmfBphAtg9rf9pf8o\
e8me8kd7jd7hc7fb6eb6ca6aa5``5Zn5ag5_`5YU5WK4SN5VQ6\
YT7`V7cY8f`9icAlfBteAqeAodAldAjcAgcAebAbbA`aAYa9W`\
9T`9R_9O_9MZ9JZ9HY9EY9CYA7Y9AY9DY8FY8IY7KY7NY6PY6S\
X4TY6UY8VZ9WZBX_DY_EY`GZ`I_`J`aLaaNbbObbQccSdcTecV\
fdXgdYge_heaifbjfdklfjiekfekdekaek_elXelVelSelPdmN\
dmKdmIdmFdnDdnAdn6en8dn9cnAbnBanC`nD_nEZnFYnGXnHWn\
IVnJUnKTnLSnMRnNQnOPnPOnQNnRMnTNpSMnSLlSKkSJiSIhSH\
fSGeSGcSFbSE`SD_SCYSGWSKVSOTSSSSWQS_PScNSgMSkKSoJS\
sHOv1SzGVzUEzfYzgszoqzkpzgnzdmz`kzXjzUizQgzMfzJdzF\
czBaz3bz6bz8czAczCdzFdzHdzJezLezNfzQfzSfzUgzWgzYhz\
`hzbizdizfizhjzkjzmkzoYz` }
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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times.
