FOTD -- November 17, 2003 (Rating 6) Fractal visionaries and enthusiasts: When I began my series of Mandelbrot images 6 days ago, I said that I would use arbitrary precision math as little as possible. I did not say that I would not use it at all. Today, I inten- tionally enter the range of arbitrary math to demonstrate a point. With today's image we are in the dark and mysterious world of the depths of the Mandelbrot set, a world where tiny things are exaggerated. In these remote depths, one of the things that becomes exaggerated is the size of the basin of attraction surrounding the midgets. With a magnitude of 7x10^23, today's scene lies in the shallowest range of arbitrary precision math, but even at this mildly-extreme depth, the basin of attraction around the midget in the image would be about 100 meters across if displayed at the same scale as the image on the screen. The scene lies in the basin of attraction of a larger midget, which lies in the basin of a still larger midget, etc. I have forgotten the exact count of midgets, but repeated outzooms will end up in a filament extending from a midget on the main stem of the M-set, a little to the east of the large midget at -1.75. A quick glance at today's scene will reveal that the number of elements surrounding the midget resets itself several times as the midget is neared. This resetting is typical of midgets that are part of the field of attraction of larger midgets. It will also become apparent that the elements around the midget are arranged in the form of circles. This is also typical of deep midgets. The rating of a 6 appears justified. The render time of 1-1/4 hours is harder to justify, but justice may be found by download- ing the completed GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The weather was totally bland here at Fractal Central on Sunday, with a partly cloudy sky and a temperature of an average 55F 13C. To make things even more average, in the evening, a few drops of rain fell. The cats had an average day, doing average things. Today is turning milder; the work is under control; all is well. The next wonderful fractal will appear in 24 hours. Until next time, take care, and it will all work out in the end. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Mandelbrot-05 { ; time=1:17:31.32--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=-1.6341597430013676141250535918/0.00612\ 498599892884329038326681/7.325171e+023/1/132.5/3.8\ 8578058618804789e-016 params=0/0 float=y maxiter=3600 bailout=16 inside=0 logmap=770 symmetry=none periodicity=10 sound=off colors=000FETAGTAHSAGSAFRAFRAEQADPADOACNACMBBLCAJD\ AHE9FEP0IU0LZUPcQShMVmJZhLadMdbOgaPj_RmZSpXUsWVnV`\ iUeeTj`SpWRuSQzRStRTnRUhRVbQXYQYSQZMQ_GQ`BLZAGXABV\ 96T91S94RB7QDAPFCPHFOJINLLNNNMPQLRTLTWKVYJX`JZcI`f\ HbhHdfEWdBOc9Gf6Ti3el1rfAfaJWXSLS`AXbC`cEadGbdIbeK\ ceLceNdfPdfQefSfgUfgVghXghZhh_hialicoidqjarjZwkWxk\ TzkQphPmfOjdNhaMe_LbYK_VJYTJVRISOHPMGNKFKHEHFDFDDC\ SAAe78s4Bq8EpCGnGJmJLkNOjRRhVTgYWeaYde`bibalbam_Zk\ XWiUThSQfPNeMLcJIaHF`ECZB9Y86W64VG4PP4JV3G`2Ef2Cl1\ Aq18tV9wwAuvJsuRqtZosgmrokcwB2DNFBYS9hc7j_HkWRlT_f\ MYaFWcFZmFawFdzFgwFjmJccMYaPR_SLZVEXYzW`zRVzNPBJJF\ FDJB7N72RIJ`T_jbrtR00VC3ZO6b_9fkCiwEctJYrNToSNmWIk\ _T3XXBY`IZdP_hW`aTaWRaPPbJNbCLc6Lc0Oc7R_DUWKXSQ_PX\ bLbeHhhEekGcnH`qIZtKWwLUzMOzKIzRCzX6zb1zh8zjFzkMzl\ SzmZznezolzprzqdzoRzmWzd`zWezNizEfzFdzGazG_zHXzIVz\ ISzJQzzNzzLzzIzzGzzEzzBzz } END PARAMETER FILE=========================================