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Fractal of the Day
by Jim Muth
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FOTD -- January 12, 2009 (Rating 7.5) Fractal visionaries and enthusiasts: NEW FORMULA ALERT! Today's image is the first one created with a new formula, the DivideBrot6Julia, which draws the Julia aspects of the strange near-Mandelbrot set created by the DivideBrot6 formula. And speaking of near-Mandelbrot sets, today's image is the Julia set of a point in the East Valley of a small minibrot on the main spike of one of these strange things. And yes, I realize it looks nothing at all like a Julia set of the main spike of the Mandelbrot set, but what good would fractals be if they always did the expected. I have lost track of the shortest calculation time in FOTD history. The 8 seconds of today's image must be close to the record however. The name "Julia Starburst" accurately describes the image. The rating of a 7-1/2 seems about right for an image that took about a little less than no effort to create. If the calculation time of 8 seconds is still too slow, the finished image may be viewed at leisure on the FOTD web site at: Cloudy skies and a temperature of 28F -2C on Sunday made clearing the 6 inches, 15cm, of snow from the Fractal Central pavements a task of sorts, but with the fractal cats offering encouragement from the windows, and two hot coffees courtesy of FL, I finished the job with minimum discomfort. The next FOTD will be posted in 24 hours. Until then, take care, and I can see no end in sight. Jim Muth jamth@mindspring.com jimmuth@aol.com |
START PARAMETER FILE=======================================
Julia_Starburst { ; time=0:00:08.09-SF5 on P4-2000
reset=2004 type=formula formulafile=basic.frm
formulaname=DivideBrot6Julia float=y periodicity=10
center-mag=0/0/0.22366 maxiter=1500 symmetry=xyaxis
params=-16/20/0.0002/-11.5/-1.7/0
colors=000ZcczoIzzZTp54g4Gd3Ri3af3lj3wj3tr5qy7ptBp\
pFolIohMndQn`TlUPjNLhHHfADz4zzzzORZWbdcnzjzz`xzSrz\
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XEEXEEXEEXEEXEEXEEXEEXDEXDEXDEXDEXDEXDEXDEXCEXCEXC\
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ANI9NF9N1pd2oc2nc2mb3lb3kb3ja3ia4h`4g`4f`4e_5d_5c_\
5bZ5aZ6aY6`Y6_YIFhHEiGEjFDlECmDBnCAoBApA9q98r87s77\
t88s88r88qJV0MQIPLZRHoYTc }
frm:DivideBrot6Julia { ; Jim Muth
z=pixel, c=(p3), a=real(p1), b=imag(p1)-2,
d=real(p2)+0.00000000000000000001, f=imag(p2)+16:
z=z^(a)/(z^(-b)+d)+c
|z| < f }
END PARAMETER FILE=========================================
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times.
