FOTD -- May 24, 2010 (Rating 6.5) Fractal visionaries and enthusiasts: For some strange reason, today's image reminds me of two ships passing peacefully in the night, which explains the name "Passing in the Night". But the image does not show two ships passing; it shows two almost-Julia sets arranged in a symmetri- cal pattern around an imaginary point. The image is located in the Seahorse Valley complex of the large minibrot on the main spike of the Mandelbrot set. The orienta- tion is double-rotated 0.005,0.005 degrees from the true Julia direction. As is true of many near-Julia sets, this tiny rota- tion makes a world of difference in the appearance of the inside parts of the parent fractal. The twin almost-Julia-set theme of today's image is repeated without change at ever smaller scales at the centers of the Julia sets in the image, apparently all the way to infinity, which is the way things usually go in the world of fractals. The basic image rates a 6. The extra half-point that brings the rating to 6.5 is a reward for the effort I put into coloring the scene in an effort to make the almost-Julia sets resemble real three-dimensional objects. The calculation time of 5 minutes is true on the 2000mhz unit. Surprisingly, on the 200mhz unit the same image finishes in well under 9 minutes, which is only 1.8 times the running time of the supposedly 10 times faster unit. Even more surprising, with type=mandel fractals the 10-times-faster machine runs almost 20 times as fast. But why not forget this timing confusion by visiting the FOTD web site at: <http://www.Nahee.com/FOTD/> and viewing the finishedimage there. Clouds and occasional light showers of rain marred Sunday here at Fractal Central, though the temperature of 75F 24C could hardly have been improved upon. The fractal cats showed their dis-satisfaction when they got into a spat to decide who would spend the afternoon on the ottoman foot-stool. Cassie won the minor dispute with a loud hiss and a hit to Nicholas' head. Nicholas then sulked for an hour or so. My day was about average; most likely Monday will be the same. The next FOTD will be posted in 24 hours. Until then, take care, and everything that happens above the quantum level has a probable cause, but does it have a reason? Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= PassingInTheNight { ; time=0:05:08.10-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=+0.000680161\ 02056917/+0.00100690867803902/1095589/1/-2.5/0 params=89.995/0/89.995/90/-1.768531/0.0002/0/0/2/0 float=y maxiter=32767 inside=255 periodicity=0 colors=000Ok5Ok5Nk5Pl5Um5Zn5co5hp5mq5rr5vz4zz3zz2z\ z2vz4rz6my7hw9cuBZsCUqEPpGKoHInJKmLLlMNkOPjQQiRShT\ TgURfSQfRPeQOePNdOMdMLcLKcKJbJIbIHbGGaFFaEE`DD`CC_\ AB_9AZ89Z78Z69`CAbIBcOCeUDg_EhdIccM_cPWcNYdM_dLaeK\ beIdfHffGggFigDkhCmhBniApi8rj7sj6uk5wk4xk6wl8vlAum\ BtmDsmFrnGqnIpnKooLnoNmpPlpQkpSjqUiqVhqXgrZfr_frag\ nbhjdigejcgk`hlXjmUkmQmnNnoJppGqqCsr9ts5us2tp3sm3s\ k3rh3qf4qc4pa4oZ4oX5nU5mR5mP5lM6kK6kH6jF6iC7iA7h77\ H6RJ7TL8VN9XPA_RBbTCeVDhXElZFo`GrbHucIxdJzdKzeLzeM\ zeNzfOzfPzgQzgRzgSzeTzcUzbXz`Zz_azYczXeuVhuTjtSmtQ\ otPqsNrsMssItoFukBvg8wd4r`1mX0hUBcTDZSFVRHSRJQQLOP\ NMPQKOSJNUINeMMjTLrVLwYKz`JzcJzdIzcHzaHz_GzYFzWFzU\ GvSHqQInOJkMKhKKfILeGMcEKbCF`DAZEAYFAWGAVHATIASJAQ\ KAOKALKAJKAHKAJKALKANKAPLFRMGTNGROHPPINQJMRKLSKKTL\ JUMIVNHWOGXOGYNGXNHWMHVLIULIUKJUKJUJJUJKUIKUHLUHLU\ GMWGMYFM_FQaDUcBXeA`g8ci7 } 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================