; Date: Sun, 22 Jul 2012 19:45:29 -0400 ; From: Jim Muth ; Subject: [Fractint] FOTD 21-07-12 (Rectangular Surroundings [7]) ; Id: <1.5.4.16.20120722194850.29ef99aa@earthlink.net> ; --------- ; ; FOTD -- July 21, 2012 (Rating 7) ; ; Fractal visionaries and enthusiasts: ; ; Today's FOTD is late. The reason -- FL and I took a day off on ; Saturday. ; ; The image is another view of the strange rectangle in the ; Z^(2.003)+C Julia sets. The rectangle itself, or what is left ; of it, appears as the narrow blue-edged horizontal slit near the ; center of the frame. ; ; The image has been double rotated only +1 and -3 degrees from ; the true Julia orientation. When the Julibrot is sliced this ; close to the Julia orientation, a small rotation makes a huge ; difference. ; ; A careful examination of the image will reveal that its apparent ; top-bottom symmetry is 'almost', and not 'exact'. ; ; The name "Rectangular Surroundings" simply describes the ; location of the scene. The rating of a 7 is in all ways ; average, and implies average satisfaction on my part. ; ; The four-dimensional geometry of the strange rectangle, of which ; there are actually an infinity, is so complex that the rectangle ; can appear as almost anything. More of these unexpected and ; surprising rectangular distortions will be posted as upcoming ; FOTD's. ; ; The calculation time is perhaps the best feature of the image. ; Even when calculated with the rather complex SliceJulibrot4 ; formula, the image finishes in a fireball 35 seconds. All ; complexities may be avoided by viewing the image on one of the ; web sites. ; ; The finished image is posted at: ; ; ; ; A high-definition rendering is waiting at: ; ; ; ; The back images are available at: ; ; ; ; For some reason the latest mass murder has me more revved up ; than other similar disasters. The loss of innocent lives is bad ; enough, but, IMO, the worn-out knee-jerk responses coming from ; the media outlets simply make things worse. Only an idiot would ; believe we could solve the gun-violence problem by passing more ; gun control laws or by securing more guns to protect ourselves ; with, but from what I am hearing on TV and talk radio, the world ; must be filled with idiots. ; ; I hear suggestions that we must keep guns out of the hands of ; dangerous people. This is another good-sounding idea that ain't ; gonna work. It is already illegal for convicted felons or ; seriously mentally disturbed people to possess firearms, but ; many mass-murderers have no criminal or psychotic background. ; How would we decide who among the rest of the 'normal' popula- ; tion might be dangerous and must therefore be banned from posses- ; sing firearms? While searching the general population for the ; dangerous ones among us, we would need to avoid any perceived ; profiling that might offend a disadvantaged minority'. And we ; would certainly not want any perceived invasion of privacy. ; ; When Fractal Central was located back in Baltimore, I saw 'stop ; the killing' rallies organized and held on a monthly basis for ; at least 30 years. Of course, the rallies merely 'preached to ; the choir', and accomplished nothing. It was almost a joke when ; a drive-by shooting took place at one of the rallies. Despite ; the rallies, the killings have continued at a rate of up to ten ; a week for over 30 years, and my sister reports from back at old ; FC, that they are still continuing. ; ; What is the point of all my talk about things people already ; know? I have no idea. But I'll have much more to ruminate on ; in upcoming discussions, and maybe as time goes on, a point will ; emerge. ; ; There is always an immediate point about weather however. Heavy ; clouds covered Fractal Central most all day today, but it stayed ; dry and the temperature was a pleasant 75F 24C. Late in the day ; some breaks in the clouds appeared, bringing hope of a brighter ; day to come tomorrow. The fractal cats spent the day taking it ; easy, which is always easy for cats to do when the humans are ; away. ; ; The day went pretty well for the humans also, who had a day of ; antiquing down in Adamstown, which is near Lancaster. The next ; FOTD will be posted whenever it is ready. Until that glorious ; moment arrives, take care, and everyone knows what is wrong with ; the world, but why does no one fix it? ; ; ; Jim Muth ; jimmuth@earthlink.net ; ; ; START PARAMETER FILE======================================= Rect_Surroundings { ; time=0:00:35.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/0.00174958\ /29.21843/1/90/0 params=90/91/87/90/-1.7435/0/0.00\ 0175/0.073883/2.003/0 float=y maxiter=3000 inside=0 logmap=18 periodicity=6 sound=off colors=000ZPRZPQYPPXOPWNOVMNULMTKMSJLRJKQIJPHJNGIM\ FHLEHKDGKCFJCFIBEHBEGADF9CE8BD7BC6AA59949838737626\ 516925847C69B8BAAD9CF8EM7GT6I_5Kd5Mg5Og5Qk5Sk5Uj5W\ n5Xr5Yv5_z6av6cs6cp6am6_j6Yg6Xd6Wa6V_6UZ6TZ6ST6RT7\ QS7PS7OR7NR7MQ7LQ7KP7JP7IO7HO7GN7FN7FM8EM8EL8EL8DK\ 8DK8CJ8CJ8CI8BI8BH8AH8AGCg0Be1Bc2Bb3B`3B_4AY5AX6AV\ 6AU7AS8AR89P99NA9MB9KB9JC8HD8GE8EE8DF8BGDW1CT3CR4B\ P6BN7AL9KIALGCMEDNCFmHmmGmmGmmGmmFmmFmmFmhFmhEmhEm\ hEkhEihDgmDemDcmCamC_mCYmCWmBUmBSmBQoBOqAJsAIuAHuN\ isMhrMgqMgpLfoLenLemLdlKckKcjKbiJagJafJ`eJ_dI_cIZb\ IYaHY`HX_HWZIWYJVXKVVLUUMUTNUSOURPUQQUPRUQSURTUSUU\ TVVUWWWXXYYY_ZZa__c``eaahbbkccnddrhhpggnffmeekddjc\ cibbgaaf`ae_`cZ_bYZaXY_WXZVWXUWWUzVUzTUzSczRczPczO\ czNczLczKczImzHmzGmzEmzDmzCmzAmz9mzbmzamz`mz`mz_mz\ ZmzZmzYmzXmzXmzWmzVmzVmzUmzTmzTmzSmzRmzRmzQmzPmzPm\ zOmzNmzNmzMmzLmzLmzKmzJmz } 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 ;