FOTD -- January 10, 2005 (Rating 6) Fractal visionaries and enthusiasts: With today's scene we return to the most important fractal of all, the Mandelbrot set, to check the north branch of the valley of the large period-5 bud on the northwest shore of the main bay. We wander quite deep into one of the seahorse spirals on the outside of the valley, though at this point of the M-set I am undecided whether the spirals are more like seahorse tails or elephant trunks. We end up at a rather routine midget. The midget itself is nothing that has not been seen many times before, and by itself would rate a 5. The extra brilliant coloring however raises the rating to a 6. When the render time of one minute is taken into consideration, the overall worth equals a resounding 559. The magnitude of the image is right on the border of arbitrary precision math. When the image is rendered with conventional math, it finishes in one minute. When arbitrary precision math is used, the image drags on for an hour. The difference in appearance between the images drawn by the two rendering methods is very small, so I have inserted the mathtolerance entry into the included parameter file to insure that the very speedy conventional math is used. I named the image "Fractal Delicacy". At this depth, the spirals are delicate indeed, and do not quite resemble anything in the 'real' world. Thr best way to see the delicacy is to run the parameter file. Those with machines that fight the program may wish to download the image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The next installment of philosophy is included in the philofractal version of this discussion. The fractal weather was questionable on Sunday here at Fractal Central. We had many clouds, a little sun, some wind, but no rain. The temperature of 48F 9C made conditions acceptable to the fractal cats, who spent several hours on the porch, hoping for an occasional shaft of sunlight to filter through to the porch, and several more hours clearing the holly thicket of stray cats. Actually, Tippy did the clearing. He is the tough, wiry tabby. Thomas, the lazy, oversized yellow-orange one, just sat there and watched the intruder dash away up the hill to where he belongs. This morning is starting pleasant enough. The duo should have another good day. My day will be good when I have the work under control. From the way things are going, the next FOTD will appear in 3 or 4 days, when, if nothing unexpected happens, I should have a full week of nearly complete FOTD's on file and ready to go, enabling me to resume the regular daily schedule. So until late in the week, take care, and as you go through life, wonder about your trip. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Fractal_Delicacy { ; time=1:04:41.47--SF5 on a P200 reset=2004 type=mandel passes=1 mathtolerance=/1 center-mag=-0.464761734263855364/0.544868295457240\ 248/4.357241e+013/1/117.5/0 params=0/0 float=y maxiter=12000 bailout=9 inside=0 logmap=-1925 periodicity=10 colors=000AaOEaUIa_MaeQalU_rY_xa_ze_zi_zn_zrYzvYzz\ YzzYzzYzzWzzUzvSzoQziOzcMxYIxSGvMEtICrCAo78n15n03l\ 01i00g03e07c0Aa0Ec3Ic7MiAQnEUrIYvUazeeztizztzzzzzz\ zzxxzvoztgzr_zoQznIzlAzi3xg0zl0xg0vc0ra0oY0nW0iS0g\ Q0eM0aK0_G0YC0UA0S70Q50M10K00I00E00C00100700A00E00\ I10M81QE7UMCYUIa_OegUin_egUacQY_MUWIQQCMM8II5EE1A8\ 0750310100500710A10C30E30I51K73O77Q88S8CWAEYCG_CKc\ EMeEQiGSlGWnIYrK_tKcvMezMizOlzQnzQrzStzSxzUzzYzzUz\ zSvzOozMitKcnGYgESaAKW8EQ78K33E1080030000000000000\ 300E01Q03a05n00v00x05z0Cz0Iz0Oz0Wz0az0gz0oz0vz0zz1\ zz3zz5zv7zo8zgAzaCzWEzQGzKIzCKz7Mz1Oz0Qz0Sz0Uz0Wz0\ Yz0_z0_z0_z0_z0az0az0az0az0cz0cz0cz0cz0ez0ez1ez3ez\ 7gz8gzAgzEgzGizIizMizOizQYzxczgizSozEvz0zz0zz0zz0z\ z0xz0rz0iz0az0Wz0Oz0Gz0Az03z00z00z00z00z00z00z00z0\ 0z30z50z80zA0zE0zG0zI0zM0zO0zS0zU0zY0z_0za0zS0zK0z\ C0z00z00z58zMMzeWz7UzCSzI } END PARAMETER FILE=========================================