FOTD -- November 12, 2003 (Rating 7) Fractal visionaries and enthusiasts: The Mandelbrot set was the first fractal I explored those many years ago when I found my first fractal program. (A blow-up of the large midget on the negative stem was the first zoom I ever made.) In all the years that have passed since that day, I have yet to find a fractal with more richness and variety of detail. In a way, the Mandelbrot set is the ultimate fractal, the fractal to which all others must be compared. In order to do justice to this king of all fractals, I have decided to devote the second half of November to the Mandelbrot set. To make things more interesting, more convenient, and more challenging, I will limit the magnitude of the images to the range of conventional math. This will avoid the render time of hours that often results when arbitrary precision math is used. And I will try to limit myself to the equal-iteration-bands method of coloring. I will however explore the high-iteration areas that were beyond the reach of the 8mhz machine I was using when I first ventured into the M-set. Today's image, the first of the Mandelbrot series, is named "Mandelbrot-01". This is more of a catalog number than a name. The succeeding images will be named -02, -03 and so on. I have rated the image at a 7. Despite being a scene in such a well- known fractal, it equals many of my more exotic MandelbrotMix4 images, and easily earns its rating. The midget in the image lies rather deep in a spiral in the bud side of the east branch of North Valley of the M-set. This valley has a more descriptive name, which I cannot remember at the moment. There is not much to be said about today's FOTD. The image speaks for itself. (Though not in words!) Despite the high iteration count of the image elements -- the logmap is 7740 and the maxiter is 45,000 -- the parameter file renders in a zippy 6-1/2 minutes on my tired old machine with the balky fan. The fastest machines will render it in only a minute or two. The rendering can be bypassed completely by letting Paul and Scott do the rendering and picking up the completed image from one of the following web sites: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Tuesday brought cloudy skies and showers to Fractal Central, and disappointment to the dynamic duo. The temperature of 57F 14C was mild enough, but the wet grass dampened the paws of the cats and their spirits as well. It took a feather on a string to get them out of their lethargy. Unfortunately, today promises to be even wetter. I hope the cats' spirits hold out. I have a bit of work to accomplish before returning to the Mandelbrot set. And the sooner I get started, the sooner I'll finish. Until 24 hours have passed, take care, and become one with the Mandy. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Mandelbrot-01 { ; time=0:06:21.73--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=-0.1125\ 432147408424/+0.6501357215415452/1.112385e+010/1/\ -45/-4.45623187553881306e-005 params=0/0 float=y maxiter=45000 inside=0 logmap=7740 periodicity=10 colors=000m_npXqtUtwSwuRtsQqrPnpOloOimNfkMdjLahKZg\ KXhMWiOWjQWkRWlTWmVWnXWoYVp_VqaVrcVsdVtfVuhVviVVki\ 3lw5ku6ks8kq9koBkmCkkEkiFkgHjeIjcKjaLj_NjYOjWQjURj\ TWnW_rZdrahqdcnVZjLSfOMhRFjU9lWChYFe_HbaK_cMXePUgR\ RiUOkWLmZIo`FqcCse9uh6wj3xg5ue6sc7qa8oZAmXBkVCiTDf\ REdOGbMH`KIZIJXGKVJQ_LVdN_hLZfKZdIYbHYaFX_EXYDXXKU\ UKUUKUUKUUKUUKUUMUUGUUBUU5UU0VUcTmaPm`Lm_HmZDmXBgV\ AbU9YS8TQ6OP5JN4EM39N58N67N77O86O96OA5PB4PC4PD3QE3\ QF2QG1RH1RI0RJ0PM1NO1MQ1KS1JU2HW2GZ2E`2Db3Bd3Af38h\ 37j39l6An9KpCUsFcuImxLrzNmuRhpVcnPUlJRiEXh8bh3di4e\ i4fj5hj5ik6jk6ll7ml7nm8pm8qn9rn9toAuoAvoAugDt`GtUI\ sMLsFNp8Qn1Sj3Vf4Xb5Z`6UXAKZFK`KUbPc`UmZZwXczVhzTm\ zRrzNrzJrzFrzBwzDrzEmzFhzGczIG0JSXKT`LUcNVfOWiPXlQ\ YoSZiT_cU`ZVaTWbNXcIZdO`eUbf_djefkj6l8BmBGnEKoHPpK\ UqNYrPbsSgtVkuYpv`uwcyxezybzz_zzXzzVzzSzzPzzSzzSzz\ SzzSzzSzzWzzZzzazzdzzgzzk } END PARAMETER FILE=========================================