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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's fractal is named "A Makegood Fractal". I felt that I needed to make good the abysmal fractal that passed for the FOTD of December 3. Today, I atone for yesterday's 3-rated let-down by presenting a fractal that rates a lofty 8. The formula takes 0.03 parts of Z^13, adds 0.03 parts of Z^(-23) and then adds (1/C). This formula draws a narrow ring of lakes with many places to explore for midgets. For today's scene, I chose a rudimentary valley along the negative X-axis. Today's image has been colored with the outside-fmod option, with the proximity factor set to 1.5. I rendered it with the passes set to 'b'. This is not only the fastest option with this particular scene, it also eliminates several unwanted holes. Running the parameter file by the fastest rendering option is actually irrelevant, since all methods render within a few seconds of one minute on my machine. The render time will be less than one minute on anything faster than 200mhz. Those who still wish to download the GIF image can find it at: The fractal weather Monday at Fractal Central blossomed sunny and mild with light winds. The 59F 15C temperature must have been just what the cats wanted, because they passed the afternoon resting on the porch and exploring remote parts of the yard. When the grey cat that lives up the street approached, Tippy quickly chased it away. Thomas checked Tippy carefully when he returned to the yard, then they both settled down for the rest of the afternoon. The dynamic duo is still settled this morning, so I'd best get the day's tasks started before they wake up and become a distraction. Until next time and next fractal, take care, and maybe cats will succeed where we fail. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
A_Makegood_Fractal { ; time=0:01:03.82--SF5 on a p200
reset=2002 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=recip passes=b
center-mag=-0.95974698691728890/-0.017561398477024\
36/61456.73/1/-72.5/-2.99989533214528592e-010
params=0.03/13/0.03/-23/0/0 float=y maxiter=600
inside=120 proximity=1.5 outside=fmod
colors=000CRJCQJDPJDOKENKEMKFLKFKKGJKHILHHLIGLIFLJ\
ELJDLKCMKBMLAML9MM8MM7MLALLDLLFKLIKLKKLNJLPJKSIKVI\
KXIK_HKaHKdHKfGJiGJlFJnFJqFJsEJvEJxEKvGKtILrKLpLMn\
NMlPMjQNhSNgUOeVOcXPaZP__PYaQWcQUeRSfRRhSPjSNkSLmT\
JoTHpUFrUDtUCuVAtV9sV7sV6rW5qW3qW2pW1pU4mS7jRAhPDe\
OGcMJ`LMZJPWHSTGVREYOD`MBcJAfHCdIEbJG`JI_KKYKMWLOU\
LSTMWRN_PNcNOgMOkKPoIPsGQwFQrEOmDMhDKcCJZBHUBFRAEO\
9CM9AJ88G77D75B63962A83B94CA5CB5DC6ED7FE7FF8GG9HIA\
IJAIKBJLCKMCLNDLOEMPENQFOSGOTHPUHQVIRWJRXJSYKTZLT_\
LWYJYWI`VGbTFeRDgQCiOAlM9nL7qJ6sH4uG3rJ8pMDmOIkRNh\
USfWXcZaaafZckXfpVhtWfsXesXcsYbrZ`rZ_r_Zq`Xq`WqaUp\
bTpbRpcQpdPodNoeMofKnfJngHnhGmhFmiDmjCljAlk9lk8lgB\
mdDn`GoYIoULpRNqNQqKSrGVsDXsEYtEZtF_tF`tGauGbuHcuH\
duIeuIfvJgvJhvKivKjvKkwLlwLmwMnwMoxNpxNqxOrxOsxPty\
PuyQvyQwyQxyPwxPvwOuwOtvNsuNruNqtMpsMosLnrLmqLlqKk\
pKjoJioJhnJgnKfmKemKdmKdm
}
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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times.
