FOTD -- July 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: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> 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 center-mag=0/0/0.22366 params=-16/20/0.0002/-11.5/-1.7/0 float=y maxiter=1500 symmetry=xyaxis periodicity=10 colors=000ZcczoIzzZTp54g4Gd3Ri3af3lj3wj3tr5qy7ptBp\ pFolIohMndQn`TlUPjNLhHHfADz4zzzzORZWbdcnzjzz`xzSrz\ JkzAri9tZ9kP8fF8a59XB9OH9KN9BTACUBCUBDVCDVDDWDEWEE\ XEEXEEXEEXEEXEEXEEXEEXDEXDEXDEXDEXDEXDEXDEXCEXCEXC\ EXCEXCEXCEXCEXCEXDDYEDZED_FD_FC`GCaGCaHCbHCcIBcIBd\ JBeJBeKBfLAgLAhMAhMAiNAjN9jO9kO9lP9lP9mQ8nQ8nR8oS8\ pS8qT7qT7rU7sU7sV7tV6uW6uW6vX6wX6waDYeJ8kIHpHPuGYz\ FexEdwEdvEcuEctEbsEbrEbqDapDanD`mD`lD_kD_D9NjD_iDZ\ hCZgCYfCYdCXcCXbCXaCW`BW_BVZBVYBVXBUVBUUBTTBTSASRA\ SQASPAROARNAQLAQK9PJ9PI9PH9OG9OF9NE9NjAZi9Yh9Yg9Xf\ 9Xe9Xd9Wc9Wb9Wa9V`9V_9VZ9UY9UX9UW9TV9TU9TT9SS9SR9R\ Q9RP9RO9QN9QM9QL9PK9PJ9PI9OImLIrGTkJbdMmYPwSSoVThX\ T`ZTU`TNbTFdT8fT1hT5cS8_RCWQFSQINPMJOPFNSBNQANNANK\ 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=========================================