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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: The FOTD's that rate a 9 are few indeed, but today's image rises, perhaps with a little exaggeration, into that lofty range. The parent fractal that has been the source of the two most recent FOTD images is the source of today's image also. But instead of being located in the vicinity of the two large Mandeloids, today's image is located in a smaller area of chaos on a filament some distance south of them. The theme of filaments strung with areas of chaos prevails throughout the parent fractal, particularly so in the area where today's image is found. The decorated filaments make fine images when rendered in the traditional manner, but for today's image I wanted something different. I tried various outside rendering options, some of which worked fairly well, some of which were total failures. Then I evaporated the image by raising its escape radius to one-googol, and rendered the resulting blank screen of totally inside points with the 'bof61' option. The result was spectacular indeed. A little bit of color tweaking produced today's image, which, at least in my opinion, is the best in quite a while. I named it "Shark Teeth". The image does rather resemble strings of shark teeth, with a lovely pink flower at the center. The rating of 9 and the render time of 7 minutes combine for an overall value of 124. As always, the minor task of rendering the image from the included parameter file may be avoided by downloading the finished image from the FOTD web site at: A Wednesday morning snow shower here at Fractal Central failed to whiten the ground, but was enough to keep the fractal cats confined to the indoors for the day. The temperature reached a high of 45F 7C, which changed the snow to rain before it ended. Today is starting much improved. The cats will be happy. As is usually the case with me, I have official business to put behind me before settling down to search for the next fractal. The chance that my search will be successful is 100 percent. So until 24 hours from now, take care, and some but not all fractals deserve rave reviews. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Shark_Teeth { ; time=0:07:13.63--SF5 on a P200
reset=2003 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=1
center-mag=-9.50479709963300900/-4.541802019973394\
00/5.042148e+008/1/2.5/-0.0059717742853601305
params=0.55/-1.1/0.11/-3.1/0/1e+100 float=y
maxiter=1000 inside=bof61 periodicity=10
colors=0000_73WD9SJFPPLLS9Ph0Sz0Wz0Uz0Uz0Uz0Uz0Sv1\
Sr3Sn5Sm7Qh9QeBQaDQYFPUHPQJPNLPLFWS9aY3hc0nh0tn0np\
3hr7ctB_vFUxJPzPLzSFzW9z_5zc0zf0zj0zc0zW0zQ0zJ0zB0\
z50z70z90v90rB0nD0jD3fF9cHDaHHYJNULQQLUNN_JPcFPfDJ\
hBDj97m71n50p3j1Fh5Fh7Fh9FhBFfDFfFFfJFfLFeNFePFeQF\
eSFaQHYPHWNHSLHQJHNHJLFJHDJDBJB9J77L55L13L01L00L00\
N00N00N00N00N00P00P00P00P00L00P00Q00U00W00Y00a00c0\
0f00h00j00n00p00t00v00x10v90tH5rPDrWLpaUnhamphmxpj\
zxhzzhzzhzzzzxzzvzzrzznzzmzzhwzerzcmz_hzWhyUhwQhvN\
huLhtHhsDhrBhq7hp3ho1hn0hm0hzFhzKfzPezUczZazc_zcYx\
cYvcWvcUtcSrcQpcPpZNnUNmPLjKJjFHhAFf0De0Be05e0BS3H\
HHN3SQ0eW0pa0re0tf0mf0ef0_f0Sf0Lh0Dh07h00h00h00r00\
h00a00U00P00L00H00D03F05H09J0BL0FN0HN0LP1NQ7QSDSUJ\
WWNYWPWYPW_QW_QWaSUcSUcUUeUUeWSfWShWShYSjYSj_Qm_Qn\
aQnaQpcPrcPrePtePtePvfNxfNxhNzhNzjLzjLzmLzmLzpHzmL\
zjPzhSzeWzc_zacz0a00a10_5 }
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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