FOTD -- August 11, 2011 (Rating 9.5) Fractal visionaries and enthusiasts: The FOTD theme for August is deep images in the Mandelbrot set, but until today we have not ventured to any real depth. Today however we get bold and dive to a depth of over 6*(10^112), where we find a 'reset' (anti-bifurcation) point in the huge basin around a minibrot that is still well beyond visibility. The scene is located on a filament extending from a larger but still very deep, (10^59), minibrot on the west branch of the filament extending from the north bud of the large minibrot on the main spike of the Mandelbrot set. The rating of a 9-1/2 includes a 1/2-point bonus for the extra effort I put into coloring this very difficult image. The mathematical interest is responsible for another point. The name "Deep in the Abyss" refers to the depth of the image. At the scale of the image, the entire Mandelbrot set would be something like a trillion times the size of the visible universe. (This is a guess. If anyone wants to do the math, go ahead. It would be interesting to see how many universes could fit into the main bay of this huge abstract M-set.) The great depth comes at a great time price however. On my 2000mhz unit, the image takes 2-3/4 hours to finish -- slow by anyone's standards. When I finish the day's tasks, I might check the minibrot at the center of today's image. I suspect that it will be little more than a mess of Moire patterns however. Those who are put off by spending nearly 3 hours calculating a fractal may make their lives far more pleasurable by viewing the finished image at: <http://www.crosscanpuzzles.com/Archives.html> Or by viewing it in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD site may be accessed at: <http://www.Nahee.com/FOTD/> A near perfect day prevailed at Fractal Central today. The mostly sunny, kodachrome-blue skies were decorated with just enough puffy white clouds to make a picture postcard, while the low humidity and temperature of 81F 27C completed the perfection. The fractal cats enjoyed the outdoor conditions as much as is possible from the inside. They spent several hours in the window, watching the clouds and birds pass by. If the current economic anxiety is discounted, the humans had another quiet peaceful day, and there is no reason why tomorrow will not be yet another. One thing almost, but not quite, guaranteed, is that the next FOTD will be posted in 24 hours. Until then, take care, and if the world is doomed to come to an end, have no concern. The planet will survive. Jim Muth jimmuth@earthlink.net START PARAMETER FILE======================================= Deep_in_the_Abyss { ; time=2:42:17.31-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.760253238150842578924572047306459168\ 76736648297229159632195292672917534094239659654914\ 2910643263619452633110603677569/0.0205067183160941\ 19948251370111250193053188331879913407481982651252\ 94067841033483402062094896012495680845728688892030\ 62/6.500128e+112/1/122.5/0 params=0/0 float=y maxiter=5000 bailout=16 inside=0 periodicity=6 colors=000MbGJ_EHXBEU9CR69O42K17L2BL3FL4KL4OM5SM6X\ M7`M7dN8iN9mNAsO8qNAoMCmMEkLGjLIhKKfKMdJNNAUOAUPAU\ QAURAUQAUQAUPAUQAUQAUQAUQASRBUSCVSDXTEYTFZUG`UHaVI\ bWJdWKeXLgXMhYNiYOkZPlWOpZQm`RjbTgdUdfWahX_jZXl_Un\ aRpbOrcMpdQodTmdWleZjeaiedhfhffkefncgqbgtagw_fuYet\ XdrVcqUboSanR`lP_kOZiMYhLXgJUcHR`GOYEMVDJSBGO9EL8B\ I68F56C54B52B50B50B50A50A50A50A50A5295495695895A99\ CDCEGFHJIKNLNQOQTRTWVW_YZbaageemiirmnwqrzpqvmnrkkn\ hhkeehcbd`_`ZYXYWUUURRTTNRZKQcGPiDNn9Mt6Ly9NxBOwEQ\ vGRuITuKUtRZsYcrdhqkmkrrcvvUzzKztAmv6ms6mr6mq5mq5m\ p5co5cn5cn5cl7cj9ciAcgCcfEcdFccHcaJb`KeZMgYNc_M`aL\ XcKUeJRgINiHKkGHmFDoEAqD7rDIRKNOISMGXJEaHCeEAjC8o9\ 6t74x53t74q95nB6jD7gF8dH9`JAYLBVNCRPDORELTFHVGEXHB\ ZHF_LI_OL_SP_VS_ZV_aZ_ea_hd_k`XgXVdTTaPRZMPWJSXHVY\ FYZD`_Bc`8fa6ib4lc2od0rd2pe4oe6ne8leAkeCjeEheFgeHf\ fJdfLcfNbfP`fR_fTkNRhLOeI } END PARAMETER FILE=========================================