; Date: Sun, 06 Jul 2008 18:54:07 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 07-07-08 (Elephant Ring [8]) ; ; Id: <1.5.4.16.20080706185422.2c576b5a@pop.mindspring.com> ; --------- ; ; FOTD -- July 07, 2008 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Today's image shows a scene obviously lying in East Valley of ; its parent Mandelbrot set. The elephants with their spiralling ; trunks are there as expected, and the minibrots are found as ; expected where the trunk-spirals come together symmetrically. ; But what has happened to those minibrots? ; ; The minibrots are not the quadratic ones that would be expected, ; they are order-32 ones that would never be expected. This is ; because I have contaminated the parent Mandelbrot set with some ; Z^32 stuff, which becomes prominent only at a considerable depth. ; ; This mixture has the top halves of four proto-elephants arranged ; in a ring around the circular minibrot at the center, with ; various bits and pieces of other elephants scattered randomly ; through the rest of the scene. ; ; Once again I have gone to a very large magnitude to find the ; image, which is why the mathtolerance entry is included in the ; parameter file. These high-order minibrots grow more interest- ; ing the deeper they lie. It's too bad that arbitrary precision ; does not work with type=formula. It's probably due to the DOS ; memory limit. (When, if ever, we have a S.O.T.A. Windows ver- ; sion of Fractint, I assume this will be changed.) ; ; The ring of elephants inspired the name "Elephant Ring". I ; rated the image at an 8 because I like rings of elephants. The ; calculation time of 2 minutes will bring peace and contentment ; to all fractal visionaries. Fractal enthusiasts can find peace ; on the FOTD web site at: ; ; ; ; where the already-rendered GIF image is or soon will be posted ; for instant viewing. ; ; A muggy high temperature of 86F 30C made Sunday feel more like a ; July day here at Fractal Central in central Pennsylvania. The ; local fractal cats kept the holiday spirit alive as they dashed ; up and down the long hallway and attacked their catnip rats. My ; day was slow enough to keep the philosophical pot aboil. ; ; The next in the apparently endless string of FOTD's will be due ; in 24 hours. Until then, take care, and when you make colorful ; philosophy, be sure that your conclusion is not colored by ; wishful thinking. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Elephant_Ring { ; time=0:02:03.47-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=DivideBrot5 passes=1 center-mag=+14.46\ 740554090629/-0.678528302118716/1.90372e+012/1/-40\ 0 params=32/50 float=y maxiter=1800 inside=0 logmap=218 periodicity=10 mathtolerance=0.05/1 colors=000nv_ovcqvfsviuvmwvpxvsvspqqmlnigkfahcYf`S\ eYPdYRdYSeYUfYVgYWiZYjZZkZ_lZamZbo_cp_eq_fr_gs_iq`\ jpakoblmcmlcnkdoiephfqgfregsdhtciubirZgpWfnTelPcjM\ bhJafG`dCZb9Y`6XZ3WUDZQM`LVbHcdDlf_`TvQGwPDxPByO8z\ O6zO4tP5oP5jP5eP5`P5WP5RP5MP5HP5FOCDNICMPALV8Ka7Jg\ 5In3Ht2Gz4Jx5Lw6Ov7Qt8Ss9VrAXpB_oCanDcmC`jBZgAXdAV\ a9TZ8RW7PT7NR6LO5JL4HI4FF3DC2B92973E84J85O86T87X88\ a89f8Ak8Bo8ApAAqB9rC9sD9tF8uG8uH7vI7wK7xL6yM6zN6zO\ pesrdmschuccvbZxaUyaPrYQkURdQSYMTRIUKEVDAW66X03Y75\ XD7WJ9VPBUVDT`FSfHRlIRiHSgHTdGUbGV_FVYFWWEXTEYRDZO\ DZMC_JC`HBaFBaED`EE_EFZEHYEIXEJWEKVEMUENTEOSEPRIWN\ NcI9U89`79g59n49u38nI7hW6bi6XwBam`t4GfdLjWQoMVtDvF\ HnVCfi8w_bohRgpm3qmAsmHtmzvmzwmztmzumzvmzvmzw5zw5z\ x4zo3zZ0zb1ze1zh2zk2zo3zr3zu4zMyzbfzf_zjUzmNzqHzuA\ zPa9XVzcOzjHzqAzrhztYzuOzwEzIHzXCzj8zXRzbMzhHzmDzs\ 8zdizgczjYzmSzpMzsGzvAz6K } frm:DivideBrot5 { ; Jim Muth z=0, c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint