; Date: Wed, 17 Mar 2004 10:13:29 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 17-03-04 (The Twinship of Twins [4]) ; Id: <1.5.4.16.20040317101624.3927e672@pop.mindspring.com> ; --------- ; ; FOTD -- March 17, 2004 (Rating 4) ; ; Fractal visionaries and enthusiasts: ; ; The day started with a bang here at Fractal Central, when I ; opened my e-mail box and discovered that I had just won 3 ; million-dollar lotteries that I have no memory of entering. ; Talk about good luck -- it doesn't get any better than this. ; Now I'll be able to give up working and devote all my time to ; finding more fractals. ;-) ; ; Now on to today's fractal. I recently was asked if such a thing ; as twin fractals exists. I'm not sure about twin fractals, but ; twin midgets certainly do exist. A pair of them is illustrated ; in today's image. ; ; The twin midgets are located in the Z^(2.003)+C Mandeloid. This ; Mandeloid is part of the Julibrot that holds the near-perfect ; rectangle that I occasionally distort and use as a FOTD image. ; The parent Mandeloid is almost indistinguishable from the ; classic Mandelbrot set, the major difference being found in the ; area of the main stem, which has split into fractal dust. ; Today's image is located in this dust. ; ; Though the midgets in the image are close together, their basins ; of attraction do not interfere with each other. A major discon- ; tinuity that lies between them isolates them. Sometimes, the ; basins of closely-spaced midgets do overlap, and sometimes the ; midgets themselves merge, but in these cases, it is always ; corresponding parts of both midgets that come together. Two ; main stems can merge, or two East Valleys, but never an East ; Valley and a main stem. ; ; The two large twin midgets in today's image lie in a field of ; smaller midgets, some of which are quite attractive, surrounded ; by networks of fractal railroad tracks. The Julia sets of this ; area can also be unusually attractive, but that's another story. ; ; I named today's picture "The Twinship of Twins". The name ; doesn't make too much sense, but it has a nice sound to it. The ; rating of 4 is just a bit below average. Combined with the ; render time of near 4-1/2 minutes, this gives an overall value ; of 90. ; ; The rendering may be avoided entirely by downloading the ; finished image from Paul's FOTD web site at: ; ; ; ; A steady windy rain that fell all day Tuesday here at Fractal ; Central, and a temperature that never rose above 34F 1C, kept ; the fractal cats solidly confined to their indoor shelves by the ; windows. Their moods were not as bad as might be expected ; however. Most likely, as they gazed out at the miserable ; weather, they were thankful that they were not one of the ; homeless cats who have no place to go on such miserable days. ; In the evening I gave them a small treat of tuna as a reward for ; their good behavior. Today is starting cloudy and cold, but it ; is dry. We shall see how the day goes. ; ; For me it's just another day with work to be done and fractals ; to find. The next fractal will appear here in 24 hours. Check ; then for something you have never seen before. Until 24 hours ; have passed, take care, and almost all FOTD fractals are things ; that have never been seen before. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Twinship_of_Twins { ; time=0:04:25.18--SF5 on a P200 reset=2003 type=manzpower passes=1 center-mag=-1.51984679271885400/+0.011001816585014\ 69/5927.148/1/-100.000000000060254/3.5317263002987\ 4313e-011 params=0/0/2.003/0 float=y maxiter=3200 bailout=9 inside=0 logmap=40 periodicity=10 colors=000K8qJ9nJ9kI9iI9fI9dH9aH9ZG9XG9UG9SF9PF9ME\ 9KE9HE9FD9CD99C97C94C92BB5BC7BDABECBGEBHHBIJBJMBKO\ BMQBNTAOVAPYAR_ASaATdAUfAViAXkAYmAZpA_r8axA`tB_pC_\ lDZhEZdFY`GYXHXUIXQJWMKWILVEMVANU6OU3TXAYZGa`NfbTk\ d_ofethlxjrwipvhnuhlugktgisfgsffredqebqdapd_ocYobX\ nbVmaTmaSl`Qk`Ok_Nj_LiZJiZIh`NhaRfWSeQTdKUcEVb8Wa3\ Wb5Rb6Nc7Ic9EdA9dB5fF4gI4iM4jP4lT4mW4nZ4pb4qe4si4t\ l4vp4ws4xv4NadQceSdeVffXgf_ifajgdlgfmgiohkphnrhpsi\ suitwluviuuguueutcvsavs_vrYvqWwqUwpSwoQwoOxnMxmKxm\ IxlGxlEujHriKphNmgPkfSheVfdXcc_`bbZadW`gU_jRZlPYoM\ XrKWtJXqIYnHYkGZhF_eE_bD`_CaXBaUAbR9cO8cMBbLEbLHcL\ JdLMeKPfKRgKUhKXiK_jJakJdlJgmJinJhoIhpIhqHhrHhsGht\ GhuFhvFiwEjxEkyDlzDmzCnzCozBpzBqzArzAsz9tz9uz8vz8w\ z7xz7yzAzzDzzGzzJzzLzzOzzRzzUzzWzzZzzazzdzzkzzfzzb\ zzZzz_zzVzzRzzNzzJzzFzzGzzHzzOzzNzzMzzMzzLzzKzzJzz\ JzzIzzHzzHzzOzzUzz_zzezzk } ; END PARAMETER FILE========================================= ;