; Date: Thu, 19 Jan 2012 18:16:17 -0500 ; From: Jim Muth ; Subject: [Fractint] FOTD 19-01-12 (Mystery Theater [8]) ; Id: <1.5.4.16.20120119181743.2b17d1d2@earthlink.net> ; --------- ; ; FOTD -- January 19, 2012 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Today's fractal image is a scene on the main spike of its parent ; fractal, which is an over-sized Mandelbrot set corrupted by ; order-7 elements. The scene is located just beyond the large ; minibrot on the main spike, at a magnitude where the minibrots ; have totally morphed into order-7 ones with 6 bays. These tiny ; order-7 minibrots are clearly visible, scattered all around the ; large central minibrot. ; ; But in the world of fractals, things do not always go as we ; expect, and today's image is certainly a good example. I named ; the image "Mystery Theater" because of the mysterious things ; happening in it. ; ; To begin, the large minibrot has 12 bays, which would make it of ; order-13, a prime number that exists nowhere in the generating ; expression. To make things worse, the minibrot is surrounded by ; 14 elements, which would appear to make it of order-14. ; ; My first thought was that the large minibrot is actually a ; partial merging of two order-7 minibrots. Sometimes this does ; happen. But if this is the case, the merging in today's image ; is the most perfect I have yet stumbled upon. ; ; With no obvious rational explanation for all the mathematical ; craziness, the image remains a mystery. All in all, the image ; fully earns its name. ; ; The rating of an 8 is based mostly on the mathematical interest, ; though the artistic value is not to be ignored. ; ; The calculation time of 24 seconds is about as fast as FOTD ; fractals ever get, and will not test the patience of even the ; most impatient fractalist. ; ; Experience the satisfaction of escaping the task of calculation ; by viewing the finished image on the FOTD web site at: ; ; ; ; Experience the total bliss of seeing the image in high- ; definition at: ; ; ; ; And remember to check the entire library of past images at: ; ; ; ; The brilliant sun that burst forth at sunrise today here at ; Fractal Central did not last long. By midday, the clouds had ; moved in, and by afternoon, snow was threatening. The fractal ; cats were more concerned about the chilly morning temperature of ; 16F -9C than with the forecast of light snow. They demanded ; more warmth. ; ; FL and I, the local humans, had an uneventful day, which was ; pleasant to experience but makes dull reporting. The next FOTD ; will be posted in 24 hours. Until then, take care, and ; yesterday's question about the island south of Antarctica was ; indeed a trick question. I occasionally get into discussions ; about relativity, and have a very difficult time explaining why ; it is impossible to travel through space faster than the ; velocity of light. As I try to explain it, trying to travel ; faster than light is like mounting an expedition to that island. ; Any effort is bound to fail. There is no such thing as ; traveling south from the southernmost point on the globe; there ; is no such thing as traveling through space faster than the ; highest possible velocity. At the speed of light, space along ; the direction of motion shrinks to zero. It does this for the ; same reason that the width of a sheet of paper shrinks to zero ; when viewed edge-on, and then there is no space left to travel ; through. If it were possible to go even "faster", one would be ; traveling through time, not space. ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Mystery_Theater { ; time=0:00:24.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip center-mag=-35.73697608855773/0/21270/0.9541 params=7/20 float=y maxiter=1750 inside=0 logmap=62 symmetry=xaxis periodicity=6 colors=00008C09F0AI0BL0CO0ER0GU0IX0K_0Mb2Oe4Rh7TkA\ WnDZqFZtGawHduIczJ`zJYvKVtLSqLPkMMeNKcNIaOH_OGYRIV\ TKTWLRYNO_PMbQKdSIgUFiVDkXBnZ9p_6sa4uc2wd0oe2ge3_f\ 4Sf5Lf6TkG_pPguYnzf_znLvuLqlKhcJbVIZMHUDGU5GO7FK9F\ EAFCCG0EG7FH7HH8JI8KI8MJ8OJ8PK8RK8TK8UMCUOFUQIUTLU\ WOUZRUaUUbRZdOcfLhgJmbKkWLjRMiKNgEOf8PeESbJU_OWXTY\ UZ_RcaOhcLmeIgfNagSXhXRiaMifS8VOFTKMSGTRC_Q9fPNlM`\ qJZmIXiHVeGUaGZZMbWSfTXkQboNhsLmrT`r`OrgBacNL_Z4Wi\ A_dFc`LfXQjTVmPYfT``WcVZfOaiIdlCgo6jq7ls8mt8nv9pw9\ qyArzAsnKcbUPcWQdXRdYScZTb_Ua`U`aV_bVZbzYczXdzWezV\ fzUfzTgzThzSizRjzQjzPkzOlzNmzMnzLnzKozJpzIqzHrzHrz\ JmzKizMezN`zOXzQTzROzTKzUGzVCz_IzdNziSznYzsbzxgzve\ ztdzrczpbznazl`zj_zhZzfYzdXzbWz`cz_czYczWczUczJczS\ czQczOmzMmzKmzImzGmzEmzCmzomzmzzkzzizzgzzezzczzazz\ `zzZzzXzzVzzTzzRzzPzzOzzMzzKzzIzzGzzEzzCzzNzzMzzMz\ zLzzLzzKzzKzzJzzJzzIzzIzz } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } ; END PARAMETER FILE========================================= ; ; ; ; ; ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;