FOTD -- August 24, 2009 (Rating 4) Fractal visionaries and enthusiasts: Check the philofractal version of this discussion for a philosophical outburst. Have we ever seen a fractal similar to today's? The answer is neither yes nor no, but how many times. Today's image shows a minibrot on a filament, one of the easiest kind to find. It was so easy to find in fact that I could rate the image no higher than a miserable 4. The parent fractal is a humongous thing about 1000 times the size of the Mandelbrot set. It is shaped like a distorted M-set with rings on three sides. To see this parent, set the magnitude to 0.001, the center to 0,0 the rotation to zero, and reset the logmap to zero also. Today's image is located in the East Valley area of a larger minibrot on the filament leading to the northeast ring. The name "Ring Around the Posie" refers to the rings in the image. Such rings are a universal feature in most double- negative fractals. I have no idea what a 'posie' might be, or even if it's a real word. The calculation time of 5 minutes means that a modicum of patience will be needed to calculate the image. The impatient may have their impatience relieved by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. Lots of clouds and oppressive humidity prevailed here at Fractal Central on Saturday. The temperature of 81F 27C felt more like 104F 40C. The fractal cats, not worried about humidity, seemed quite comfortable as they lounged most all day on their shelf by the window. Sunday was sunny and less humid. My Saturday was good enough. Sunday was better. But that is no reason that tomorrow should not be better yet. The next FOTD will appear in around 24 hours. Until then, take care, and be subjectively objective. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= RingAroundThePosie { ; time=0:05:04.61-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip center-mag=+268.2218482282329/+86.61052102191096/\ 8612658/1/-145/0 params=-3/-1.3/-0.3/-3.3/0/0/0/0 float=y maxiter=3600 inside=0 logmap=-436 periodicity=10 colors=000Ok9PkDQkIRlMSlQTlVUlZVmbWmgXmkXmoUikSehQ\ aeNYbLV_JRXGNUEJRCGO9CL78I54F31CS84UH7cPAmXCreFvmI\ zuKrrLmpMcnMUlNNjONhONfPNdQNbQN`RNZRNXSNVTNTTNRUNP\ VNNVNLWNJWRIVUHUXGU_FTbFTfESiDRlCRoBQrBQqCOqDMqEKq\ FIqGGpcEpcCpcApc8pc6rcCtcIvZOwUUvRXuPZtN`tLbsKdrIf\ rGhqEkpCmoBoo9qn7sm5um4wk8tjBqiEnhHkfKheNedQbcT_aW\ X`ZU_aRZdOXaQV_STYURWWPUXOSZMQ`KObIMcGJeEHgDFiBDk9\ Bl79n57p35r23s48q5Do6Hm7Ml8Qj9VhBZgCceDgcElbFp`GuZ\ HyYOvXUsX_pWemWkjWiiYhiZgi`fiaeibdidciebifaih`ii_i\ jZhlYhmXhnWhpVhqUhrThtShuRhvQhxPhyOhzMfsLglJheIiZG\ jSFkLDlECm7Bn9AoAApC9qD9rF8sG7tH7uJ6vK6wM5xN5yO6zQ\ 7zR8zS9zTAzVBzWCzXDzYEzZFz`GzaGzbHzcIzdJzfKzgLzhMz\ iNzjOzlPzmQznRzoRzpUzmWzjYzg_zdbzadzZfzXhzUkzRmzOo\ zLqzIszGqzJozLmzNlzPjzRhzTfzVezXczZaz``zbZzdXzfVzh\ UzjSzlQznOzpNzrLztJzvIzxJzhJzUJzFKzELzEMzENzENzEOz\ EPzEQzERzESzESzETzFNz4Nz4 } frm:MandAutoCritInZ {; 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)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================