FOTD -- October 24, 2010 (Rating 5) Fractal visionaries and enthusiasts: Elephants are everywhere in Seahorse Valley of the Mandelbrot set. They come in all sizes, shapes and colors. They also enjoy doing tricks. The elephants in today's image have formed themselves into a wreath, a bit too early for the season to be sure, but decorative just the same. The name "Elephant Wreath" describes the scene well enough. The image is stretched more than 1000 times (1083 to be exact) in the horizontal direction. Such stretching is necessary to correct the natural distortion of the scene, which lies in an orientation rotated 10 degrees from the Rectangular toward the Oblate. The rating of a 5 might be a bit too conservative, but how much can a holiday wreath decorated with elephants be worth? The calculation time of 11-1/2 seconds is fast by any standards. Viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> is equally fast, and could be a lot more fun. A frosty morning gave way to warm sunshine and an afternoon temperature of 64F 18C here at Fractal Central on Saturday. (It reached 73F 23C at Old Fractal Central 150 miles 240km south of here.) The fractal cats slept through most of it. My day, which was occupied with a trip back to Old Fractal Central, was otherwise uneventful. The next FOTD will likely be posted within 12 hours, which will bring the FOTD up to date if it happens. Until next time, take care, and keep alert for that quantum stuff. It's lurking everywhere. Jim Muth jamth@mindspring.com START PARAMETER FILE======================================= Elephant_Wreath { ; time=0:00:11.52-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-0.003041525\ 45290287/0/16.30635/1083 params=100/90/0/90/0.265/\ 0/0/0/2/0 float=y maxiter=1500 inside=0 logmap=48 symmetry=xaxis periodicity=6 mathtolerance=0.05/1 colors=000BaMCbODcOEdQFeSGfUHgWIhYJiZKjYMkYOlXQmXS\ nWUoWZrVcuVhxUmzUruVvrVwnVzkWwhWmeWcbWUZXKWWJVVHTV\ EQUCNTAKS9IS8HS7GS6FR5DS4CQ3AO25M10K00K40K70KA0KD0\ KG4PK4UN4ZQ4cT4hW4lX6nY7oY8pZ9rZBs_Ct_Dv`Ew`FxaHub\ IrcKpcLmdNkeOheQffRcgT`gUZhWWiXUiZRj_PkaMkbKhaMe`O\ c_Q`_RYZTWYVTXXRXYOW_LVaJUcGUdDTfBSh8Rj6Rk8ShATfBU\ cDUaFV_GWXIXVKUULVUNWUOXUNYUNYUMYUMXVLXWLXXLWYKWZK\ W_JV`JVaJVbIScIQdHNeHLfGMgGNhGNiGOjGPkGPlV0PX1OY1N\ Z1M_1L`2La2Kb2Jc2Ie3Hf3Hg3Gh3Fi4Ej4Dk4Dl4Cn5Bo5Ap5\ 9q59r68s67t66u66r9BoCGlFLiHQfKVcN_pIZaPcP_mOWhNTcN\ Q_MNVMJRLGMLDIKADK79M9ANBBODCPEDRGESIFTJGULGVNHXOI\ YQJZSK_ULaVMbXNcZNd_OeaPgcQhdRifSjhTjlVkiTkfSkdQka\ Pk_NlXMlUKlSJlPHlNGlKEmHDmFBmCAmA8m77m56l66k76k86j\ 96jA6iB6iC6hD6hE6gF6gG6fG6eH6eI6dJ6dK6cL6cM6bN6bO6\ aP6aQ6`R6`R6_TD_UK_VQZWXZXcZYibVeeSaiPZlMVoJRsGOvD\ KyBHo9DqjdsleunfvT9vpghQY } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================