FOTD -- October 16, 2002 (Rating 7) Fractal visionaries and enthusiasts: The parent fractal of today's image is a drawn-out string of Mandeloid fractals much like the Hawaiian chain of volcanic islands. Today's image itself is located in a valley of the easternmost and not at all the largest of these Mandeloids. The other Mandeloids are all interesting, and may be visited in future FOTD excursions. The midget at the center of today's FOTD is located in a spiral, the edge of which is cut off by a discontinuity. In keeping with the cutoff theme, the large spiral surrounding the midget is also cut off. The most impressive thing in today's image is the unusually well defined area surrounding the midget. I have emphasized the definition of this area by the coloring I gave to it. The well-defined area reminds me of nothing that I can immediately recognize, yet it seems to be a something. I therefore named the picture "Mandelbrot Object". This name will suffice, though fractals are certainly not objects in the accepted sense of the word. Though I am fairly satisfied with today's image, the coloring still leaves a bit to be desired, especially the outer areas, where the bland beige fails to bring out the full potential of the scene. Also, the midget at the center suffers from too low a maxiter. Considering these shortcomings and the excessive render time of over 1 hour on my machine, I could rate the image no higher than a 7, which is actually quite good. Luckily, the completed image, if it is not already on the FOTD web sites, will soon be available there. The FOTD web sites can be found at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather Tuesday here at Fractal Central was typical of the season, as grey clouds veiled the sun, a cool northerly breeze blew, and the temperature hovered around 55F 13C. The dynamic cats, having seen a TV show about what happens to feral cats in the Australian outback, looked twice before venturing into the holly thicket at the foot of the yard. This morning, the wind is blowing and the rain is pouring. I imagine they will look three times before going outdoors. As for me, the only adventure I want is to complete the day's work with a minimum of trouble, and find a fractal that rates a 9 or 10 for tomorrow's FOTD, which will appear on schedule in roughly 24 hours. Until that apocalyptic moment, take care, and did you know that fractals are good for your health? They're full of isofractones! Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Mandelbrot_Object { ; time=1:15:42.88--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+7.31848906354440300/+0.092751001585580\ 13/2.326232e+007/1/2.5/3.31674654567570837e-007 params=7/-1.2/0.7/-11.7/-1.5/800 float=y maxiter=7200 inside=0 logmap=-1623 periodicity=10 colors=000eocfoffofhoeioekodlodnocoocqobsoesohqpfn\ ndkmcgjadg_adZYaXVZWSWUOTSLQRINPFKOJLRMMTQNVTOXXPZ\ _Q`bRbfSdiTfmUhpVjtWlwXnzXpzZoz`ozbozdozfozhozjozl\ oznozpozroztozvoqtZhsI_r1`q4`p7aoAanCbmFblIbkLcjNc\ iQdhTdgWdfYgfaifekfimfmofqqfusfxpgtmhpjilhjiekebla\ `mYYnVVoRTpNQqJNrGLsCIt8Fu4Dv1LiBTXL`KVg8ciHXkQRmZ\ KogEqp8miGibOeXVaQbYKiZIhZGhZEhZChZAgZ8gZ6gZ5g`7eb\ 9dcAceCbfEahF_iHZkJYlKXnMWoOUqPTrRStTRuUQoTOiSMdSK\ ZRIURGOQEIPCDPA7O82O7ARGITPQVYYXfeZom`wl_qkZljYfiX\ ahWWgVRgUMcXO`ZQXaSUcUQeWNhYJj_GlaCoc9qe6sfArgErgH\ rgLqgPqgSqhWqh_phbphfphiphgoefoben_cnXbmPamK_mNZmQ\ YmTWmWVmZUmaSmdRmgQmjOmmMmpKmtImwGmzEmzCmzAmz8mz6m\ z4mz3mz3mz3mzXmzVmzTmzRmzPmzNmzMmzKmzImzGmzEmzCmzA\ mz8mz7mz6mz5mz4mz4mz3mz2mz2mz3mz4mz4mz5mz5mzBmzGmz\ MmzRmzWmzZmzamzdmzfmzimzlmzomzqmztmzwmzymzqmzimzam\ zUmzMmzJmzKmzMmzOmzPmzRmz } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================