FOTD -- September 04, 2013 (Rating A-7,M-8) Fractal visionaries and enthusiasts: Today's image was created with the MandelbrotMix3a formula, which mixes together various portions of four different powers of Z. In today's image, one negative part of (1/Z) is combined with straight (Z), then mixed with one part of Z^(-1.6) and one negative part of Z^(-1.4) before (1/C) is added on each iteration. The 0.2858095886402 value of the real(p5) parameter is the critical point of the iterated expression, which I determined using the tedious graphic method. The parent fractal is little more than a nest of zigzagging filaments with small Mandelbrot sets scattered about. Today's scene is located in a knot of filamentary debris near one of the small M-sets. In today's image the math value of 8 exceeds the artistic worth of 7. This unusual situation is due mostly to the unusually large number of different exponents of Z involved in the calculation. I use today's formula so rarely for two reasons. First, the images tend to become boringly similar as the number of exponents of Z grows. Second, it is too tiresome to work out a critical point by calculation or graphically. The name "Trouble in Sight" refers to the effort of finding a critical point and the marginally satisfactory result when I did. The calculation time of 2-1/4 minutes borders on slowness. The slowness may be eliminated however by checking the web sites. Finished images may be viewed at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A perfect day passed uneventfully here at Fractal Central. The fractal cat said the temperature of 79F 26C was perfect. The fractal humans said the low humidity was perfect, while the photoshop blue skies and cottonball clouds kept everyone else and every other animal in town happy. The next FOTD will be posted right here when I work up the energy to do it. Until the energy strikes, take care, and no one can be a true liberal unless they hate guns and are worried about climate change and equality. Too bad! Since guns are here to stay and the climate will continue changing and all people will never be equal, I guess liberals are doomed to a life of endless frustration. Jim (am I left or right) Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Trouble_in_Sight { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=recip passes=1 center-mag=+3.26650108165485/-0.05084635835292/\ 1.326488e+008/1/-112.5/0 params=-1/-1/1/1/1/-1.6/\ -1/-1.4/0.2858095886402/0 float=y maxiter=800 inside=0 logmap=103 periodicity=6 colors=000zzzzyzyxzxwzwvzvuzutztszsqzrozpmznkzlizj\ hzhgz`fuTfoMfkEee7d`0cV0aP0_J0ZG0YC0UA0P80K60E4072\ 250750C00H50K80N50P20R00T00V00X00Z00_00Z00X00V00T0\ 0R00P00P00O00N20M80LE0KJ0KP0KV0K`0Pe0Uk0Zq0cu0hz0m\ z0rz0wz0zz0xz0uz0qz0my2ix4ew4av6Yu8Tu8NuAJuCGuCCuE\ 8uG4uG0uH0uJ0uJ0uL0uL0uN6uNGsPPqPZmRggRqbTzXTzRVzN\ VzRXzVXzXXz`XzbXzeXxgXukXsmXoqXmsXivXgxXdzXbzXZzXX\ zXTzXRzXTzZTz`VzbVzdXzeXzgZziZxk`vm`uobsqbqsdoudmv\ ekxeizegzgdugboiZkiXekT`kRXmNRmLNoHHoGCqC8qA2s60s4\ 0u00u00vE0vREvdRvqevzuvzzqzzmzvizqezkbzeZz`VzVRzPN\ zJJzEGz8Cz28z04z00z00z06z0EzHLz`TzqVxoVxoXxmXxmZxm\ Zxk`xk`xk`xibxibxgdxgdxgexeexeexegudgqdgobikbig`ie\ `ib`kZZkXZkTXkRXmNVmJVmHVmEToATozRozRozRmzVkzXkzZi\ z`gzdgzeezgezidzmbzobzqdzsgzvkzxozzszzvzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================