; Date: Fri, 20 Jul 2012 15:48:53 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 20-07-12 (Stretched Rectangle [8]) ; Id: <1.5.4.16.20120720155212.2a1f7a98@earthlink.net> ; --------- ; ; FOTD -- July 20, 2012 (Rating 8) ; ; Fractal visionaries and enthusiasts: ; ; Today I will NOT count to ten before posting. I see there has ; been another massacre, this one in Colorado. I feel truly sorry ; for those who have suffered. But what really pisses me off is ; the blather coming from the pundits on TV. On one side we have ; simple-minded liberals who claim that this latest massacre shows ; the need for another gun control law, as if 3,624 laws would ; solve the problem when 3,623 laws have done nothing. On the ; other side we have equally simple-minded conservatives who claim ; that the massacre shows the need for more guns in circulation to ; protect we good-guys from such psychopathic killers as well as ; the everyday minor bad-guys. ; ; In my opinion, both liberal and conservative views are asinine. ; The problem is the culture of violence in which we live. Isn't ; it puzzling that we shield our youngsters from movie scenes of ; people loving each other yet expose them to scenes of people ; slaughtering each other, and then express shock whenever the ; latest mass murder takes place. Why not go all the way and give ; our children 'Joker' masks for Halloween, so they will start ; behaving like 'The Joker' character. ; ; Enough said for today, but you'd better believe that I'll have ; far more to say in future FOTD blogs. ; ; As for the fractal, I'm back with today's FOTD! And right on ; time! And I bring with me an image that rates an 8. It's not ; the best image ever, but (at least IMO) it's an improvement over ; the past several days' efforts. ; ; We return to the mysterious rectangle in several Julia sets of ; the Z^(2.003)+C Mandeloid. The area in question is the area ; just east of the large minibrot on the divided main spike of the ; parent Mandeloid. The exact coordinates of the rectangle are ; C=-1.7435,0.0; Z=0.000175,0.073883. A magnitude around 75 shows ; the rectangle to best advantage. ; ; Today's image is named "Stretched Rectangle". The reason for ; the name is visible in the image. To wreak a bit of havoc, I ; have not sliced the scene in the exact Julia orientation. I ; have rotated the view one degree in four different directions, ; producimg an almost-rectangle that is no longer a rectangle. It ; now looks like a rectangular hole sliced in a sheet of stretched ; rubber. In addition, parallel bands of high-iteration chaos ; have appeared inside the warped rectangle. ; ; The whole image shows that, near the Julia orientation, small ; rotations in the direction of the slice make huge differences in ; the image. The reason for this situation lies in the peculiar ; four-dimensional geometry of the Julibrot, which, because of ; laziness, I will not try to describe right now. ; ; The calculation time is an everyday 2-1/2 minutes, just about ; average for a fractal on today's average machine. Of course, ; this calculation effort may be avoided entirely by visiting one ; of the web sites. ; ; Find happiness on the official FOTD web site at: ; ; ; ; where the already-calculated image is posted for all the world ; to see. ; ; Find happiness in high-definition at: ; ; ; ; Find all the happiness of the past 15 years at: ; ; ; ; Heavy clouds and rain spoiled today here at Fractal Central for ; those with outdoor plans. The temperature of 68F 20C was most ; un-midsummerish, making the fractal cats come to life and wonder ; why the seasons are changing so fast. The humans took the rain ; in stride. FL was pleased to see her garden getting a much ; needed drink. ; ; The next in the apparently unending line of FOTD images will be ; posted before too long. Until whenever that might be, take ; care, and did you ever get the feeling that space aliens from ; outer space might be secretly running the show here on earth ; from behind the scenes? I realize that no sensible person would ; believe such a thing, but no sensible person would believe the ; claims of modern science, especially relativity and quantum ; mechanics, either. ; ; (Final note: as unrealistic and simple-minded as it might be, I ; am for removing all guns from our society. Does anyone know of ; a way it might be done?) ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= StretchedRectangle { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/0/100 params=89/89/89/89/-1.7435/0/0.000175/0.073883/2.0\ 03/0 float=y maxiter=32767 inside=0 logmap=56 periodicity=6 colors=000ZPRZPQYPPXOPWNOVMNULMTKMSJLRJKQIJPHJNGIM\ FHLEHKDGKCFJCFIBEHBEGADF9CE8BD7BC6AA59949838737626\ 516905867CC9BIBAJD9KF8LM7MT6N_5Od5Pg5Qg5Rk5Sk5Rj5R\ j5Qn5Qn5Qm6Pr6Pl6Og6Of6Of6S`6S`6R_6R_6QZ6QZ6QT6KT7\ KS7JS7JR7JR7IQ7IQ7HP7HP7HO7GO7GN7FN7FM8EM8EL8EL8DK\ 8DK8CJ8CJ8CI8BI8BH8AH8AGCg0Be1Bc2Bb3B`3B_4AY5AX6AV\ 6AU7AS8AR89P99NA9MB9KB9JC8HD8GE8EE8DF8BGDW1CT3CR4B\ P6BN7AL9KIALGCMEDNCFmHmmGmmGmmGmmFmmFmmFmhFmhEmhEm\ hEkhEihDgmDemDcmCamC_mCYmCWmBUmBSmBQoBOqAJsAIuAHuN\ isMhrMgqMgpLfoLenLemLdlKckKcjKbiJagJafJ`eJ_dI_cIZb\ IYaHY`HX_HWZHWYGVXGVVGUUFTTFTSFSRFRQERPEQOEPNDPMDO\ LDNJDNICMHCLGCLFBKEBJDBJCBIBAHAAH9AGphgnffmeekddjc\ cibbgaaf`ae_`cZ_bYZaXY_WXZVWXUWWTzVTzTSzSSzRSzPSzO\ RzNQzLPzKUzIUzHUzGUzEUzDUzCUzAUz9UzbUzaUz`Uz`Uz_Uz\ ZUzZUzYUzXUzXUzWUzVUzVUzUUzTUzTUzSUzRUzRUzQUzPUzPU\ zOUzNUzNUzMUzLUzLUzKUzJUz } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } ; END PARAMETER FILE========================================= ; ; ; ; _______________________________________________ ; Fractint mailing list ; Fractint@mailman.xmission.com ; http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint ;