; Date: Fri, 02 Aug 2002 10:05:27 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 02-08-02 (Twirling Banners [6]) ; Id: <1.5.4.16.20020802100608.2adfbabe@pop.mindspring.com> ; --------- ; FOTD -- August 02, 2002 (Rating 6) ; ; Fractal visionaries and enthusiasts: ; ; At first glance, today's image looks like an exotic midget ; created by the MandelbrotMix4 formula, but it is not. The ; image, with it's almost-disconnected appearance, is actually a ; scene in our faithful old friend, the Mandelbrot set. ; ; The scene is located deep on a filament in the northeast suburbs ; of the large midget on the negative stem of the M-set. The ; exact location can be found in a few seconds by outzooming. As ; one backs out, the magnitude soon falls within the range of ; conventional math, so the trip back to the surface is a fast one. ; ; Today's scene almost appears disconnected, but it is not. All ; parts of the Mandelbrot set, including the midgets and the ; elements around them, are connected to the main body of the set. ; The shoreline of every midget and the main body as well is a ; single unit. True, the connection is often made by an ; infinitesimally thin filament, but the connection is there. ; ; By comparison, many fractals created by the MandelbrotMix4 ; formula are not connected. In these fractals, there frequently ; is no main body, but only a cloud of fractal debris scattered ; around the area like ejecta around an explosion. And like at ; the scene of an explosion, isolated bits of debris are often ; found far from the center, totally disconnected from the rest of ; the fractal. ; ; I named today's definitely connected fractal "Twirling Banners" ; when I was reminded of synchronized gymnasts twirling their ; banners. If it were not part of the M-set, today's image might ; have rated a 7. As it is, a rating of a slightly-above-average ; 6 will have to suffice. ; ; Since the image is in the magnitude range where arbitrary ; precision math is required, it takes over 22 minutes to render ; on my P200 machine. A download of the completed GIF image from: ; ; ; ; or from: ; ; ; ; will be considerably faster. ; ; The weather Thursday here at Fractal Central was of the typical ; high-summer variety -- a temperature of 97F 36C, blazing sun, ; high humidity, and light winds. In the evening, thunder clouds ; developed on the horizon, but never moved in. These conditions ; kept the fractal cats confined to the cool indoors through the ; afternoon. In the evening, when the sun sank low and they ; finally did venture outdoors, the local catbird began annoying ; them, apparently aware that their bird-catching days are nearly ; finished. ; ; And now it's Friday morning -- another hot day -- and I've got a ; pile of work to finish. It's time to reconfigure the fractal ; shoppe into a workroom and get busy. Until next FOTD on the 4th ; of August, take care, and fractals are too complex to be ; natural, yet they are not artifacts. So what are they? ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Twirling_Banners { ; time=0:22:51.60--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=-1.74644456175032895642/0.0051806197286\ 35784144/3.752443e+015/1/-122.5/3.8857805861880478\ 9e-016 params=0/0 float=y maxiter=6000 bailout=8 inside=0 symmetry=none periodicity=10 sound=off colors=000ho_eoXcoU`nQZnNZqNXnKWdHVVFUTFUSFURFUQFU\ PFUOFTNFTMFTKFTJFTIFTHFTGFSFFSEFSDFSCFSAFS9FR8FR7F\ R6FR5FR4FR3FR2FV5KY8O00000000000000000000000000000\ 0000000J0IJHFIEBIB8I84I51K66M7BN8GP8KQ9PSAUUBZVBdX\ CiYDn_Er`Et`Hr`Ko`Nl`Pj`Sg`Vd`Xa`__`bX`dU`gR`jP`lM\ `oJ`rG`tEVfDQTDKFDF2DH4CI6CJ8CKABLCBNEBOGBPIAQKARM\ ATO9UQ9VS9WU9XW8ZY8__8`a7ac7be7dj5cg7cd8cbAc_BcYDc\ VEbSGbQHbNJbLKbIMcENbGNaINaJN`LN`MN_ON_PNZRNZSNYUN\ YVNXXNXYNW_NW`NYbN_cNaeNcfNfhNiiNmkNplNpnNuoNzqNzr\ NzpMpoLjnKdmKalJajIbiIbhHcgGdfGfdFgcEibEjaDl`Cm_Cl\ aGkcKjdOifShhWhi_gkcfmgenkdpocrscswanp`iiZdcY_XWVR\ VQKXIBULESNGQQIOSLMUNKXPIZSGaUEcWCeZAh`8jb6ld8jcAi\ bChaDg`Ff_HeZIdYKcXMbWNaVP`UR_TSZSUYRWXQXWPZVO`UNb\ TMcSLeRKgQJhPIjOHlNGmMFoLEqKDrJCtIBvHAwG9vFBuFDtEE\ sEGrDHqDJpCLoCMnBOmBPlBRkATjAUi9Wh9Xg8Zf8`e7ad7cc7\ dd8cd9be9aeA`fA_fBZgBZgCY } ; END PARAMETER FILE========================================= ; ;