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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image is found in the parent fractal that results when one part of Z^101 is mixed with 100 parts of Z^(0.01) and C is added. This parent fractal is located far out of the usual range, at -99 on the negative X-axis. It is little more than a series of vague circles with an active area with a tiny Mandeloid on the east side. This Mandeloid is rotated 180 degrees and distorted in an indescribable way, but despite its distortion, it holds many areas of interest. Today's scene is located in a nest of ribbon-like shafts that converge on the East Valley of the Mandeloid, which actually lies on the west side of the main bay. Seeing the potential for ribbons in the initial fractal, I attempted to create a color palette that would highten the impression of festive decorations. It was successful enough to rate the result at a 7. The name "Satin Ribbons" is self-explanatory. The midget at the center lies just beyond the limit of resolution, which is so close to the actual magnitude of the image that it was necessary to add the 'mathtolerance' entry to the parameter file to assure that the image calculates at the correct magnitude. And let's face it, the 16-minutes required to calculate the image is a bit much for today's active fractalist to swallow. Luckily, relief it at hand on the FOTD web site at: Hazy skies and a mild temperature of 50F 10C made things rather pleasant outdoors here at Fractal Central on Sunday. The fractal cats made things rather pleasant indoors when they managed to get through the day without getting into mischief. My day was about as pleasant as could be expected. The next FOTD, which will appear in 24 hours, will hopefully be equally pleasant. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Satin_Ribbons { ; time=0:16:02.96--SF5 on a P200
reset=2004 type=formula formulafile=allinone.frm
formulaname=MandelbrotMix4 function=ident inside=0
center-mag=-98.99768716313547000/-0.00195092620905\
970/3.573522e+010/1/31.4/-0.00267053341109015768
params=1/101/100/0.01/0/0 float=y periodicity=10
maxiter=4500 mathtolerance=0.05/1
colors=000OUnQVjSXfUYbX_ZZ`V`bRbcNdeJffFppbloZinWf\
mTclQ`kNemLaoKYjKVeKR`KNWK5TBDSGKRKSQPTNEZQTcRedSf\
dSgdShdSidSjdSkdQmdSkeTigUgiVekKcm4ao9_qDYnHWlLUiP\
ShTUiUVjVWkWXlXXmYUkZRi_OeaN`cRWdWSfRShWSd_S_cSWhS\
RlUMrTNqSNpROoQOnPPmOPlNQkMQkLRjKRiJShISgHTfGTeJYs\
HVlFTeEQZCOSAML9JE7H76F0AD2EC4IB6MA8Q9AU8CY6Ea5Ge4\
Ii3Km2Mq1Ok3Kf4G`5CW68P31R75SB9UFDVJHXMLYQP_USaYWd\
a_fdchhgjqzkrxlrvmqumprnonomkplgqjdqg`qeYqcUqcRqbN\
qaKq`Gq_DqZ9qY2qY6qZAq_Eq`IqaKpbLpcMpdMpdNpeOpfOpg\
PphQoiSojUokWolYom_poappcqreqsgtuivvkuvssvprunqtlp\
sjoqhnpfmodlnakm_jkYijWhiUghSggRifQkdUmaYpZatWewTi\
uQkrNhkKccFZWAUO6PG5KG5JG5H95FB8HCBIDEJEGKGJLHMMIO\
NJRPKUQMXRNZSOaTPdUPhXQfVQeWRcYRb_QcaPdcOeeNegMfiM\
fkMfmMgkMgiLggLgeLhcLhaLh_KhYKiWKiUKiS5lQDjOKiNRgM\
YfLddKjgIkeJkcJkaKk_KkYLkXLkVMkTMlRMlPNlONlMOlKOlI\
PlGPpGNlFPhFQeFSRUlJQwMSr }
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.
