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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image is named "The Mystic Twelve". The name does not refer to the twelve apostles but to the 12-part symmetry of the features surrounding the very obvious order-12 minibrot at the center. As is always the case with Mandeloids, the number of lobes in the minibrot itself is one less that the exponent of Z. In this case, eleven. But this in no way detracts from the significance of the number 12 in the image. Actually many things in our everyday world are based on the mystical number 12. The number of signs in the zodiac, the number of donuts in a dozen, the number of months in the year, the number of apostles, the number of piano keys in an octave, and the number of people on a jury are just a few. And if you think the number 12 is mystical, just open the bible and check the number of times the number 40 appears. (It must be the Deity's favorite number, as well as the number of thieves.) On its surface, the parent fractal of today's image is a huge Mandelbrot set. But as today's image shows, in its depths, it is entirely different. Today's scene is located on a short filament extending from a small radical on the northern shore line of the large minibrot on the main spike of the parent. With its rather moody coloring, today's image rates an 8. Once the image starts to appear, the calculation time of 6-1/4 minutes should seem to pass in a flash. But to avoid a 'flash in the pan' the finished image is posted for immediate viewing and enjoyment on the FOTD web site at: The intermittent sun here at Fractal Central on Friday kept the fractal cats guessing, while the temperature of 45F 7C made the shopping rush bearable. My day was busy enough to keep away thoughts of poverty, yet slow enough to allow time to relax. The next in the seemingly endless series of FOTD fractal images will be posted in 24 hours. Until then, take care, and make your fractals look alive. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
The_Mystic_Twelve { ; time=0:06:14.04-SF5 on P4-2000
reset=2004 type=formula formulafile=basic.frm
formulaname=DivideBrot5 float=y inside=0 logmap=889
center-mag=-175.311566671227/+1.321886950465596/1.\
838955e+011/ periodicity=10 mathtolerance=0.05/1
params=12/100 maxiter=5000
colors=000A28A2AA2CA2EA2GA2IA2KA2MA7OACQAHSALUBQYC\
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DzzCzz_zzwzzXzz7zzyzzZzzH }
frm:DivideBrot5 { ; Jim Muth
z=(0,0), c=pixel, a=real(p1)-2,
b=imag(p1)+0.00000000000000000001:
z=sqr(z)/(z^(-a)+b)+c
|z| < 1000000 }
END PARAMETER FILE=========================================
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times.
