; Date: Thu, 27 Nov 2003 10:46:49 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 27-11-03 (Mandelbrot-15 [7]) ; Id: <1.5.4.16.20031127104821.0cf7c8ba@pop.mindspring.com> ; --------- ; ; FOTD -- November 27, 2003 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's image shows a scene on the shore of the southern lobe of ; the main bay, rather deep in East Valley, in a chaotic area ; where the elements become pinched off. The pinched-off elements ; are obvious, but the area is actually quite a bit more chaotic ; than the image would suggest. Most of the detail beyond the ; foreground elements is due to the coloring, and will rapidly ; disappear if the colors are changed. ; ; In the picture, I have departed from my usual inside=solid-black ; routine, and given the inside of the midget an electric blue ; coloring, which suggests, at least to me, a window into an ; alternate reality beyond the one visible to the senses. To ; increase the impact of the brilliant interior, I have faded the ; colors to near black as they approach the midget. ; ; Despite the rather ordinary effect of the image, I have given it ; a rating of a 7, which equals above average. I put more effort ; into the coloring than meets the eye and decided to reward ; myself with a rating one point higher than what I would ordina- ; rily give. ; ; Due to its high iteration count, the image is a slow one, ; requiring over 1/2 hour to complete on my machine. But the time ; can be saved by downloading the completed GIF image from one of ; the FOTD web sites, which can be found at: ; ; ; ; and at: ; ; ; ; The topic of identical Mandelbrot midgets has been raised on the ; list recently, and has been pretty well answered. I sometimes ; wonder about the philosophical aspects of this topic however. ; Except for their mirror image on the opposite side of the real ; axis, no two midgets are exactly identical. But with many ; midgets the difference is infinitesimal, and cannot be discerned ; by any means available to us. Can such midgets then be consi- ; dered identical? I guess it all depends on the meaning of the ; word 'identical'. ; ; In the Mandelbrot set, the shape of the midgets remains within ; the range where they are recognizable. The same is not true in ; fractals created by more exotic formulae, where midgets can be ; distorted totally beyond recognition. Finding extremely dis- ; torted midgets in exotic fractals might make an interesting ; fractal project for a future series of FOTD's. Now on to more ; important things. ; ; Another average day's weather here at Fractal Central brought ; the fractal cats an average afternoon in the yard. The partly ; cloudy skies, temperature of 55F 13C, and light southeast winds ; were so average that those with no great interest in the weather ; have little memory of the conditions. Today is supposed to ; bring rain, but it is starting sunny. We'll see how things go ; as the day progresses. ; ; Things will likely go pretty well for me. The work is caught up ; and somehow I managed to avoid having to go to any Thanksgiving ; dinners. If my good luck holds out later today, I'll find one ; of the infinity of great fractals that still lurk undiscovered ; in the Mandelbrot set. If not, I'll return in 24 hours with ; another acceptable scene. Until then, take care, and be aware. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Mandelbrot-15 { ; time=0:31:44.87--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=+0.25620301284127930/-0.000987866605141\ 90/3.070075e+011/1/-42.4940527126489584/-0.0001586\ 27323509942519 params=0/0 float=y maxiter=320000 bailout=9 inside=255 logmap=16000 periodicity=10 colors=000tbktbksajr`ir_iqZhqZhpYgoXgoWfnWfnVemUel\ TdlSdkSckRcjQbiPbiPahOahN`gM_fL_fLZeKZeJYdIYcIXcHX\ bGWbFWaEV`EV`DU_CU_BTZBTYASY9SX8RX8RW8SV8TU8UT8VS8\ WR8XQ8YP8ZO8_N8_M8`L8aK8bK8cJ8dI8eH8fG8gF8gE8hD8iC\ 8jB8kA8l98m88n78o78o99nBAnCBnECnGDmHEmJFmKGmMHlOIl\ PJlRKlSKlULkWMkXNkZOk`PjaQjcRjdSjfTihUiiVikWilWikV\ gkUejTcjTajS_iRYiRWiQVhPThPRhOPgNNgNLfMJfLIfLGeKEe\ JCeJAdI8dH6dH5eJ5eK5fM5fN5fO5gQ5gR5gS5hU5hV5iX5iY5\ iZ5j`5ja5jb5kd5ke5lg5lh5li5mk5ml5mm5no5np5or5os5ot\ 5pv5pw5px5nw6lv6ku6it6gs6fr7dq7cp7ao7_n7Zm8Xl8Wk8U\ j8Si8Rh9Pg9Nf9Me9Ke9JeFHeKFePEeUCdPBbK9`F7ZB6XB4VB\ 4WA3VB3VB3UB3UC3TC3TC3TD3SD3SD3RE3RE3RE2QF2QF2PF2P\ G2PG2OG2OH2NH2NH2NI2MI2MI1LJ1LJ1KJ1KK1KK1JK1JL1IL1\ IL1IM1HM1HM0GN0GN0GN0FO0FO0EO0EP0EP0DP0DQ0CQ0CQ0CQ\ 8BNFALJ8AKAJKAAKBAKCAKCAKDAKDAKEAKFAKFAKGAKGAKHAKI\ AKJAKKAKKAKKAKKAKKAKKAhzz } ; END PARAMETER FILE========================================= ;