; Date: Thu, 13 Mar 2008 22:10:21 -0400 ; ; To: fractint@mailman.xmission.com ; cc: philofractal@lists.fractalus.com ; ; From: Jim Muth ; Reply-To: Fractint and General Fractals Discussion ; ; ; Subject: [Fractint] FOTD 14-03-08 (Arc of Evaporation [7.5]) ; ; Id: <1.5.4.16.20080313211226.0ddfd3d2@pop.mindspring.com> ; --------- ; ; FOTD -- March 14, 2008 (Rating 7.5) ; ; Fractal visionaries and enthusiasts: ; ; The March issue of 'Sci-Am' magazine has an article about the ; expanding universe that I found interesting. It appears that in ; the unimaginably distant future the universe will have expanded ; until all the galaxies except those of the local cluster will ; have receded beyond the event horizon. And also by that time, ; all the galaxies in the local cluster will have condensed into ; a single giant elliptical galaxy, consisting of very slowly ; dying red-dwarf stars. The most distant objects visible will be ; dim red stars perhaps 200,000 light-years distant, and all ; evidence of the expansion of the universe and therefore of the ; 'big-bang' that we presently assume created the universe will ; have vanished. ; ; If any astronomers still exist in that remote future time, the ; thought of an explosive 'big-bang' origin of the universe would ; never have entered their minds. They would have no clues as to ; how the 'universe', which by then would be a single elliptical ; galaxy filled with small dying red stars, came into existence. ; Most likely the astronomers of the year 10-trillion would invent ; ingenious scientific theories that would appear logical to them, ; but would seem ludicrous to us with our present broader view. ; ; Of course, when we consider our current 'big bang' hypothesis, ; we are in the same situation as those distant future astronomers ; would be. We have no idea of what might have caused the assumed ; 'big bang' that created the universe. The simplest way out is ; to brush the problem aside by claiming that time as we know it ; did not exist before the 'big bang'. If we assume this, we can ; then claim that it is meaningless to ask what happened 'before' ; the 'big bang'. But this is really spinning our way out of the ; problem. As I said a week or two ago, we don't even know what ; we don't know, and this is especially true of me. ; ; I do know something about today's image however. It exists in ; the same parent fractal as the past 3 days' images, and lies ; just beyond the edge of the 'fan'. ; ; The name "Arc of Evaporation" describes the prominent dividing ; line that runs diagonally through the image and separates the ; 'evaporated' from the 'unevaporated' parts of the scene. This ; apparently straight line is actually an arc of a circle that is ; centered at the origin of the parent fractal. The line appears ; straight because only a tiny part of the whole circle is visi- ; ble. The evaporation is spreading from the lower left toward ; the upper right, and is controlled by changing the escape ; radius, which is set by the imag(p3) parameter. ; ; To add a bit of spice, I rendered the scene with the inside set ; to 'atan', though a couple of the other inside fills also do a ; good job. ; ; After careful study, I rated the image at a 7-1/2. The calcula- ; tion time of under 1-1/2 minutes is speedy enough for all but ; the most restless fractalists. And as always, the finished ; image can be seen on the FOTD web site at: ; ; ; ; An enjoyable end-of-winter day prevailed here at Fractal Central ; on Thursday, with sunny skies and a temperature of 54F 12C. The ; cats of F.C. were more concerned with the local pigeons than the ; generous sun. ; ; My day was as close to normal as days get. With any luck at ; all, tomorrow will be the same. The next FOTD fractal will ; appear in 24 hours or so. Until then, take care, and time will ; never come to a complete halt, but it will never stop slowing ; down either. ; ; ; Jim Muth ; jamth@mindspring.com ; jimmuth@aol.com ; ; ; START PARAMETER FILE======================================= Arc_of_Evaporation { ; time=0:01:24.43-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+5.507580654866794/-0.4053643733147778/\ 2809.232/1/35/2.96780140046637442e-009 params=-5/-1.15/-0.75/-7.5/0/76235000000.0/0/0 float=y maxiter=800 inside=atan periodicity=10 colors=000d0aa0dZ0hW0iT0mQ0zN0zL0zI0zG0zD0zA0z70z4\ 0z20z00z00z04z0Bz0Iz0Oz0Wz0cz0kz0sz0zz0zz0zz0zz0zz\ 0zz0zz0zz0zx0zv0zt0zq0zo1zl2zk4zh6zf7zd9zf9zf9xf9v\ f9sfAofAlfAkfAhfAdfBafB`fBYfBVfBTfAQ`9OW7NR6LN4KI2\ ID1H90G40E00D00E00E00G01G01H01H01H02I02I02K04K04L0\ 4L04L09O0DQ1HT2KV4OY6TZ9YaA`cBdfDihEnkHqqIvxKzzczz\ NzzuzzKzzHztDylAvd6tY2qQ0oI0nB0o60q00s00v00u02u04z\ Q6zQ7zQAu0Bv0Dw0Ew0Dw0Bt0Bs0Aq0An09l07i07h06f06k49\ nGBqQDtaGxlHzyKzzLHWWDY`AZd7`h4al1cq0dt0fy0fz0`x7V\ tDQqKKlQGiYAfc6ak0Zq0Wi0`a0cW0hO0kH0oB0sG0qK0qN6oR\ AoVGnZLnaRlfWliaknhkqlktkaxiTyhKzfBzd2zc0zOLzAlz0z\ lHkTcKGiN2nO0sQ0oT0lW0kY0h`0da0cd0`f0Yi1Wk2Tn2Ro1T\ f1VZ1VR1WI1WB1Y41Y09Q9GKKNEWV9ha2sWAoQHlKOkEWh9af9\ af9af9`f9`d9`d9`d9`d9`d9`c9Zc9Zc9Zc9Za9Za9Za9Za9Ya\ 9Y`9Y`9Y`9Y`9YZ9YZ9WZ9WZ9WY9WY9WY9WY9VY9VW9VW9VW9V\ W9VV9VV9TV9TVz0Tt0Vo0Yi0` } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } ; END PARAMETER FILE========================================= ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint