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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: With today's image we return to fractal normalcy -- a rating of 6. The illustrated scene lies in the same parent that produced yesterday's image, and once again, one of the more exotic 'outside' options was used, this time the 'atan' option. I read somewhere recently, probably in a letter on the list, that the Fractint 'atan' function has an error somewhere in it. If so, it's a bit late now to correct it, since if this were done, images such as today's, which use the incorrect version, would no longer work. Of course, we could always save the incorrect version by giving it a new name, as was done with the 'cosxx' function. Or even better, we could give the correct version a different name. Today's image reminds me of the type of image that was so popular around 10 years ago, and resembled curled satin ribbons. I named the image "Fractal Ribbons" because of this resemblance. I rated it a 6 because, at least by my standards, it is a bit above average. I cannot say why I am staying with this particular parent fractal, which is giving me such a hard time. Maybe I want to prove that potential glory lies in every fractal, even the most humble. Well, I'll stay with the same fractal another couple days. If I find nothing in it by then worth a rating of 8, I'll give it up and move on. Today's image renders in only 4 minutes, making it a reasonable value for the time spent. Hmmm, maybe I'll start giving my FOTD images a 'value' rating. I could take the present 0-to-10 rating, divide it by the minutes needed to render the image, and multiply the result by 100. This would make today's image worth 150 value points. We'll see . . . The best value of all however is still downloading the completed GIF image from Paul's web site at: The temperature reached 34F 1C here at Fractal Central on Thursday, but clouds moved in by midday, making things too chilly for the sensitive whiskers of the fractal cats, who passed the afternoon curled by the radiator, sleeping peacefully. A bit of tuna in the evening made their day complete. This morning is starting cloudy and cold again, with a few flakes of snow in the air, and even colder air due by this evening. The fractal cats will not be happy about this. For me, today will be another forgettable day -- that is unless I find a fractal that rates an honest 10. Check back here in 24 hours to see if I succeed, but don't be surprised if I fail. Fractals that rate a 10 are as rare as dodo birds. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START 20.0 PAR-FORMULA FILE================================
Fractal_Ribbons { ; time=0:04:07.60--SF5 on a p200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix2 function=recip passes=1
center-mag=-0.61045250190546770/-0.011003094073171\
64/2128.036/1/-142.5/-5.97177099437296022e-011
params=1.2/-2.1/-2.1/-1.2/0/50/0/0 float=y
maxiter=1200 inside=255 outside=atan periodicity=10
colors=000NjAMiALhAKgAJfAKeAKdAKcALbBLaCL`DM_OMZFM\
ZGNYHNYINXJNXKOXLOWQOWQPWRPWSPWTQWUQWVQWWRWYRW_RWa\
RWcSWdSWeSWfTWgTWhTWiUWjUWkUWlVWmVWnVWnVWoWWoWWpWW\
pWWqWWrWWsWWtWWuWXsWXtWXtWXuWXvWXwWYvWYwWYwWYxWYxX\
XyWXxWXwVWvVWuUVtUUsTTrTTqSSpSRoRRnRQmQPlQOkPOjPNi\
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TGBSFARF9QE9PE8OD7ND7MC6LC5KB4JB4IA3HA2G81F92EA2DB\
2CC3BD3BE3AF3AG49H49I48J48K57L57M56N65O65P64Q64R73\
S73T72U72V81W81X80X80ZA2_B3`D4aE5bG6cH7dJ9eKAfMBgN\
ChPDiQEkSGlTHmVInWJoYKpZLq`NraOscPtdQufRvgSufRtfQt\
fQsfPrfPrfOqeNpeNpeMoeMneLneKmdKmdJldJkdIkdHjdHicG\
icGhcFgcEgcEfdDie5lf9ogDrhFrhGrhHrhHrhIrhJrgJrgKrg\
LrgLrgMrfNrfNrfOrfPrfPreQreRreRreSreSreTrdUrdUrdVr\
dWrdWrcXrcYrcYrcZrc_rb_rb`rbarbarbbv`crbbocbldbheb\
efbbgb_hbYi_WjYUkWSlUQmRPnPNoNLpLJqIHrGFsEEtCCu9Av\
7XwKWwJVwIUwHSwGRwFQwFzzz }
frm:MandelbrotMix2 {; 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 20.0 PAR-FORMULA FILE==================================
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times.
