December 2013 - Fractint - mailman.xmission.com

Fractint version 20.04 patch 12 released
by Jonathan Osuch 25 Feb '15

25 Feb '15

Folks, Fractint version 20.04 patch 12 was released today. The executables can be found at: www.fractint.net or www.fractint.org Here is what's new: Fixed buffer overflow in disk video mode when savename was too long. Jonathan

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Fractal Music Project
by Albrecht Niekamp 21 Oct '14

21 Oct '14

HI, : after a long time of silence I´m back again with a new project. After my Multifractal Project which has remained unique as it still is the only software creating fractals using up to five formulas simultaneously here is my Fractal Music project, possibly the only one which deserves that name, there are some details they have in common: : It uses a single algorithm to automatically create music of theoretically indefinite size which never repeats itself. The rhythm is my own definition of an endless shifting rhythm originally inspired by Steve Reich ("Drumming") and Terry Riley ("In C") and on their side by African native music for instance by the pygmies. : The melodies- of course being the other half of the structure "shifting melodies" - are created using pixels of a Bitmap (BMP) fractal, which is scanned using the dots and lines of a freely designed IFS fractal. : The basic software - in and out and conversion of a pixel into musical parameters of a single note - originates in the nineties, author David Strohbeen and is not available anymore. : In addition to the image the music is influenced to a high degree by the IFS fractal used, a pyramid for instance creates a harder rhythmic structure, a spiral a softer melodic structure. Listening closely and relaxed you may well find that the general atmosphere of the music is that of the originating fractal. : I converted Jim´s "End of the World" image, FOTD Aug27, loved it at first glance. Thanks for that, Jim. Including links of the WAV files - mp3 is not satisfactory - and the original MID files. Be careful when using Midi: The sound depends on the fonts used and therefore maybe disapointing.The soundfont used is WeedsGM3, google for it. Use only a player that does not change the parameters. The creative player destroys the music, Winamp is ok. : Albrecht Niekamp] : SPIRAL1.IFS { 0.788 -0.424 0.242 0.860 1.649 5.431 0.896 -0.121 0.258 0.152 0.053 -6.722 1.377 0.052 0.182 -0.136 0.091 0.182 6.086 1.568 0.052 } : http://www.crosscanpuzzles.com/Aug13/082713.html https://www.dropbox.com/s/1c7bl26vc44lqy6/120913D3.MID https://www.dropbox.com/s/kvastwz6oopb900/120913D3.wav https://www.dropbox.com/s/odhd6582zzu6cy1/11091301.MID https://www.dropbox.com/s/94mlkbmmdwvydlp/11091301.wav

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Anyone run DOS Fractint in CMD window in WinXP mode of Win7 Prof. 32-bit?
by Hal Lane 13 Feb '14

13 Feb '14

Has anyone tried to run DOS Fractint in the CMD window in the WinXP mode of Windows 7 Professional 32-bit or 64-bit -- and if so -- which one? I hoping to gracefully retire my WinXP before Microsoft ends support in April 2014... - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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58484-w7a
by Albrechtx 03 Feb '14

03 Feb '14

HI, while Hal is running his tests on the new software, here is a terrific image to keep you waiting. Single link and par included. The previous link also includes the latest and possibly (pending Hal´s tests) final MFR12 edition. It is fully compatible, all previous images load w/o difference. ; previous link containing latest MFR12: https://www.dropbox.com/sh/iywqw0gettwr2vb/Gti9PR9eGO image: https://www.dropbox.com/s/dgtapcolu7us1ur/58484TS2.GIF ; Albrecht ; =============================start parameter=============================== 58484-w7a { ; mmods-magnet-manowar-magnetwarp-manowarwarp ; inside2 and inside3 warped ; Time 0.0.21.81 reset=2004 type=formula formulafile=mfr_12.frm formulaname=multifractal_12 function=sin/exp/tan/cosh passes=t center-mag=-470.403/0.00308737/28.60959/1/-90/-1.23373533611470521e-014 params=1.42593798638874/0.444792016357921/58484.09595701157/51222.050603\ 0602/150248.0404808025/384.1604894022/384.00482000595/1280.1000763001/19\ 20.1002393001/2560.1003293001 float=y maxiter=3072 inside=maxiter outside=tdis logmap=yes periodicity=0 rseed=-2436 colors=000cA4<10>n89o89p8A<3>t8Bu8Bw7Cw8Dv8Dv9E<5>xAVxAXxA_<3>zCjzCmzCmz\ CmzzzYXc<3>JhnFkqBnt7qw<15>KGaLE`MBZ<2>P4VQ1TT4U<3>bGZdK_gN`<3>r_f<3>ggP\ eiKbkF<2>Uq1Xq2_q4<3>MU7JO7FI8<2>40B<3>50E50F50G50H00E<2>A8TEHaIQj3Yqbe_\ FYI0L0<3>yrB<3>yB3z00t60<3>UY0Nd0Gk0<2>ns1zz0<3>zI4z66w67<3>h3Fe2Ha1JY0L\ <3>t8qzAzuAv<3>ZEdTE`OFX<2>6IJ<3>YcMdiMknNrtOzzP<3>`_QVTQOMRIFRB8S<3>8Yk\ 7dp6ku5rz<3>6go6dl7bj<3>8R_8OX9LU9IR<6>8YG8_F8bD<3>6k76n56p35s25u0<3>5c0\ 5Z05U0<3>5B0<3>UY0`b0fh0<2>zz0<6>oc1m`1lX1<2>hN3fK3dH3bE3`A3aA3bA4 }

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CheckItOut
by JackOfTradeZ＠comcast.net 05 Jan '14

05 Jan '14

. http://apod.nasa.gov/apod/ap131230.html .

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Happy New Year
by Albrechtx 01 Jan '14

01 Jan '14

HI, this is the last message from me for this year and for some time next year, as I´m going for a trip into the sun. ; As Hal did not post the promised analysis I have to do without, the latest edition of MFR12 is in the link. There are 4 images all very special: ; 13657-5 consists of 2 images one on top of the other, but NOT an overlay. ; 13657-8 is another zoom into the same image that also uses the advanced coloring methods of the new plugin. ; 56814-4 is a zoom into "The shrine", an older image but with compressed colors ; 80084-1 uses the warp effect on magnet and manowar as inside 2 and 3. This effect can produce completely new structures of a huge variety. If you look at the elements of that image you´ll see that there is no analogy only some resemblance, not two elements are exactly the same. Also the structure cannot be exactly identified, it is similar to a spiral but is none. Additionally the coloring is unique. ; Like always the images are original Fractint and can be copied directly. Multifractal_12 is different plugin and does NOT replace Multifractal_10. Due to the stripping of unneeded digits after the dot many images (not all) generate differently, but other advantages make up for that. Also the Lake-Effect is not available anymore. ; https://www.dropbox.com/sh/8ze5mwy9er8gv4x/KqXX9Ge1u_ ; Albrecht

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FOTD 31-12-13 (Pentagon Paradise [A-6,M-8])
by Jim Muth 31 Dec '13

31 Dec '13

FOTD -- December 31, 2013 (Rating A-6,M-8) Fractal visionaries and enthusiasts: Strange rectangles appear in the Julia sets of the Z^(2.003)+C Mandeloid corresponding to the area on the X-axis just east of the large, split apart minibrot. Not surprisingly, rectangles are also found around the Mandel minibrots in this area. But totally surprisingly, when the Julia sets of these Mandelbrot rectangles are checked, they turn out to be not rectangles, but concave octagons. And even more surprisingly, when the julia sets of the edges of these Mandelbrot rectangles are checked, we find not rectangles, nor octagons, but pentagons, two of which appear in today's image. I named the image "Pentagon Paradise" because of the two pentagons sitting blissfully at the center of the scene, enjoying the inevitable boredom of their eternal rest. The art aspect of the scene is worth only a 6. We have seen similar scenes many times before. The math aspect however rates a quite honorable 8, at least for those who are into fractal math. The image calculates in an average 2 minutes. This is fast enough to prevent impatience yet slow enough for a bit of anticipation to build. The web sites will avoid all anxiety. The happiness usually found only in paradise may be enjoyed by viewing the finished image on the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day here at Fractal Central began with heavy clouds and light snow. After leaving a dusting on the sidewalk, the snow moved out, and by afternoon the sun appeared. The high temperature of freezing was right on the mark. The fractal cats watched the snowflakes fall for an hour or so, then began playing with each other until Nico grew tired and retired under a chair cover. Jasmine soon retired to the chair in her room. The humans, who are doing absolutely nothing special this year, had little trouble preparing for the new year's arrival. The next FOTD will be posted next year. Until then, take care, and what will the good people do when they grow bored with the eternal peace of heaven and want a little action? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Pentagon_Paradise { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=0/0\ /40000/1/-177.5/0 params=90/0/90/0/-1.743377131101\ 082/7.467157179206152e-007/0/0/2.003/0 float=y maxiter=750 inside=0 logmap=289 periodicity=6 colors=000TPNIRNcV`aUZ_TWZSUXRSVQPTPNROLPNINMGMMEK\ NGIOHGPIEQKCRLASM8TN6UP4VQ2WR0XS0WQ0VO0VM0UK0UJ5_H\ 9eGDkEHpDFdGDTJBHMA6OA9RABUADXAF_AHbAJeALhANkAPnAR\ qATs9Sq8So8Rn7Ql6Pk6Pi5Oh5Of4Nd3Mc3Ma2L`1KZ1KY0JW0\ JV3LQ6NM9PHBRDCUFDWHEZJF`KGcMHeOIgQJjRKlTLoVMqXMsY\ NtXOuWPuVQvURvTSwSTwRUxQVxPWyOXyNYzMZzMcuOgpQlkSpg\ UqiXrk_rmasodsqftsitukuwnuyprzAfwKVuTJsa8qj6coBckG\ cgLccQh`RhbRmcRmdRmeRmfQhbRhhRhiRcjRckXc8hzzhzzhzz\ hzzhzzhzzhzzhzzhzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzQzmRzmRzlRzlF\ zvIztKzrNzpPznBzGDzJEzMGzPHzSJzVKzYMz`NzcPzfQzioz_\ kzahzcezdbzf_zhXziUzk`zO_zQZzRZzSYzUYzVXzWXzYWzZWz\ _VzaVzbUzcUzeTzfTzgSziSzjRzkJzsMzpPznzzptzonznhznb\ zmXzlozlmzllzlkzljzlizlgzlfzlezldzlczlazl`zl_zlZzl\ YzlWzlVzlUzlTzlSzl`zF_zHZzJZzLYzNYzOXzQXzSWzUWzWVz\ XVzZUz`UzbTzdTzeSzgSziRzk } 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=========================================

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FOTD 30-12-13 (Ring Around the Quintic [A-7,M-5])
by Jim Muth 30 Dec '13

30 Dec '13

FOTD -- December 30, 2013 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Today's quickie image lies in a bit of left-over debris inside the third bud out the main stem of the corrupted Mandelbrot set that is its parent. This parent M-set is corrupted in its depths by Z^5 energies, and today's image, at an extreme magnitude of over 5*10^(12), lies well within the range of total changeover to the quintic world. The name "Ring Around the Quintic" refers to the quintic minibrot at the center and the spectacular ring of chaos surrounding it. I leave it to the individual viewer to decide whether this ring justifies the description of spectacular. The calculation time of 30 seconds is fast by any standards however, probably faster than viewing the finished image on the FOTD web sites. But by viewing the image on the web sites, the annoying chore of calculation may be avoided. The finished image is conveniently posted online at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Today here at Fractal Central passed with cloudy skies and a temperature of 34F +1C, with forecasts of much colder and snowier conditions to come. The fractal cats had a quiet day except when 4.5 pound (2kg) Jasmine jumped on 15 pound (7kg) Nico by surprise and bowled him over before he knew what had happened. He then quickly subdued her, letting her know who is still top cat. The humans meanwhile spent the day preparing for another year. The next FOTD will be posted before the year ends, or maybe not. Until whenever, take care, and now, at the end of 2013, I hear people are looking forward to a better year in 2014. A year ago, at the end of 2012, they were looking forward to a better year in 2013. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= RingAround_Quintic { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip maxiter=500 center-mag=-1.393749133748971/+0.00000000092663014\ /5.599301e+012/1/2.5/0 params=5/-10000/0/0 float=y inside=0 logmap=42 periodicity=6 mathtolerance=/1 colors=00000H01I02J03K04L05M16N27O38Q49S5AU6BW7CY8\ D_9EaAFZAG_AH`AIaAJaAKbALbAMcANcAOdAPdAQdAReASfATg\ AUg9VhzzzutzmrzcpzZizWezSbvParM`mJ_hG_cDZZAYU7XQ4W\ M1WM2VLUULUUKUTKUTKcSJcSJcRIcRIcQImPHmPHmOGmOGmNGz\ NFzMFzMEzLEzLEzKDzKDzKCzKCzKBzJBzJAzJAzJ9zJ9zJ9zKz\ zKzzKzzKzzKzzKzzKzzKzzUzzUzzUzzUzzUzzUzzUzzUzzczzc\ zzczzczzczzczzczzczzczzczzczzczzczzczzczzmzzdzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzpmzpmz\ pmzpmzpmzpmzpmzmmzmmzmmzmmzmmzmmzmmzmmzzzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzzmnzmlzmjzmhz\ mfzpczrazu_zxYzzWzzVzzUzzUzzTzzTzzSzzSzzRzzQzzQzzP\ zzPzzOzzOzzNzzNzzMzzLzzKzzJzzIzzHzzGzzFzzEzzDzzCzz\ BzzAzz9zz8zz7zz6zz5zz5zzKzzYzzklzlmzmnzmoznpznqzoq\ zorzpszptzquzqvzrvzruzptznszmszkrziqzhqzfpzdozcnza\ nz_mzZlzXlzVkzUjzSizQizPhzNgzLgzKkzEoz8kzAhzBdzDaz\ EYzGVzHRzJOzKKzMHzNDzPAzQ } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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FOTD 29-12-13 (B-E-M [A-5,M-5])
by Jim Muth 29 Dec '13

29 Dec '13

FOTD -- December 29, 2013 (Rating A-5,M-5) Fractal visionaries and enthusiasts: Today's image came about when I applied a very small (0.00001 degree) but complex 4-way rotation to the previous FOTD image, which was posted December 27. The slightly different angle changes the previous nice symmetrical image into a B.E.M. or Bug-Eyed Monster of the kind that once populated the pages of the pulp sci-fi magazines. It's not a very frightening monster however, and the math trick that created it is quite old, so I could rate the art and math aspects of the scene no higher than an everyday 5. But even a 5 is worth a quick check, and the image calculates in a reasonably fast 2 minutes, so why not boot up Fractint and see the monster. It might be good for a laugh. Relief for those who would rather not calculate may be found on the FOTD web sites, where the image has been calculated and posted for maximum convenience. The web sites may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The weather here at Fractal Central today left a lot to be desired. The steady cold rain that fell all day put a total damper on any outside plans, while the temperature of 39F +4C kept all thoughts of snow at bay. The fractal cats had a slow day also. Jasmine wanted to play, but Nico was in a bad mood and shouted her off when she tried to start a tussle. The human mood was only a little better. The next FOTD will be posted in a day or maybe two. The only way to be sure when is to keep checking back. Until whenever the fractal spirit strikes, take care, and now that science (whatever it might be) is proving scientifically that science is based on a grand illusion, where does this leave us when we want to know what to consider reality? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= B-E-M { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-0.00295243/\ -0.00295243/10/1/45/0 params=89.99999/89.99999/\ 89.99999/89.99999/-1.22275/0/0/0/4.003/0 float=y passes=1 maxiter=600 inside=0 periodicity=0 colors=000AHHAGHAGH9GH9FG9FG8EG8EGynIxmHwmHwlHvlHv\ lHukHzYG7BK8C`7Ha9Ka9NdAQcATgBWkBZoCasCbuCcwFeuHfs\ JgqLhpNinPjlUzzmzzzzzzzWzmRzcPzUOz_ZmHMcKLZUKPcJZm\ HcwGZmFUcEPUDNKCDKAKKBRRCYYDccEjjFqqGwwGrrFmmEihDd\ cD_ZCWUBRPANLALGXKCsNGrQKqTOpWRoYVo`Zncamfeliikklk\ ijjghiefiddhbch`ag__fYYfWWeVVeU`cUebTjaTo`RkaQhaOe\ bNbbLZbKWcITcHQcFNdEJdCGdBDe9Ae87eXE`tLWuI`uGduEhu\ CmuAqu8unJshTrbcpXmoVfkU_gSTcRM_SEUQFXOFZNF`LGbKGd\ IGgHGiFHkEHmCHoBHr9It8Iv6Ix5Iz9GyDFyHEyLCxPBxTAxX9\ x`7wd6wh5wl3vp2vt1vw0vlPXbl8`gD_bHYYLXTPVOUUJYSEaR\ AeVCgYDhaEjdGkgHmkInnKprLquMsxNtsTonYkibgdgc_l_Zk_\ ZkZZkZYjZYjZYiYXiYXhYXhYWhXWgXWgXVfXVfXVfWUeWUeWUd\ WUdVTdVTcVTcVScVSbUSbURaURaUR`TQ`TQ`TQ_TP_SPZSPZSO\ ZSOYROYRNXRNXRNWQMWQMWQMVQLVPLUPLUPKTPKTOKTOJSOJSO\ JROIRNIRNIQNHQNHPMHPMGOMGOMGOLFNLFNLFMLEMKELKELKDL\ KDKJDKJCJJCJJCJIBIIBIIBHI } 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=========================================

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FOTD 27-12-13 (Total Failure [A-7,M-6])
by Jim Muth 28 Dec '13

28 Dec '13

FOTD -- December 27, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image is named "Total failure". The failure was my inability to find another rectangle in the Z^(4.003)+C Julia sets like the one I found many years ago in the Z^(2.003)+C Julia sets. I started the search with high hopes, but it soon became apparent that no rectangles were to be found. What I did find were some rather interesting Julia sets, one of which appears as today's FOTD. The image was calculated with XY-axis symmetry. This symmetry is not exact but only a very close approximation. At today's magnitude however, no difference is visible. I might have stretched things a bit when I rated the art worth at a 7. But there was no problem rating the math aspect at an everyday 6. One point not in doubt is that the image is fast. On one of today's DOS-capable fireball units, if any exist, it will finish in 30 seconds of less. The finished image is posted online at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The mix of clouds and sun, with a high temperature of 37F +3C here at Fractal central today, was just about normal for the end of December in central Pennsylvania. The fractal cats passed the day tussling until Nico got too rough and Jazzy ducked under the bed. The humans, glad to have so far survived another holiday season, took things as easy as possible. The next FOTD will probably not be posted until December 29. Until whenever, take care, and the greatest sign of an epidemic of obesity is when the magazines on the checkout racks stop carrying articles about how to lose 10 pounds and start carrying articles about how to lose 185 pounds. (I actually saw this today!) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Total_Failure { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/0/10 params=90/90/90/90/-1.22275/0/0/0/4.003/0 float=y maxiter=600 inside=0 symmetry=xyaxis periodicity=0 colors=000AHHAGHAGH9GH9FG9FG8EG8EGynIxmHwmHwlHvlHv\ lHukHzYG7BK8C`7Ha9Ka9NdAQcATgBWkBZoCasCbuCcwFeuHfs\ JgqLhpNinPjlUzzmzzzzzzzWzmRzcPzUOz_ZmHMcKLZUKPcJZm\ HcwGZmFUcEPUDNKCDKAKKBRRCYYDccEjjFqqGwwGrrFmmEihDd\ cD_ZCWUBRPANLALGXKCsNGrQKqTOpWRoYVo`Zncamfeliikklk\ ijjghiefiddhbch`ag__fYYfWWeVVeU`cUebTjaTo`RkaQhaOe\ bNbbLZbKWcITcHQcFNdEJdCGdBDe9Ae87eXE`tLWuI`uGduEhu\ CmuAqu8unJshTrbcpXmoVfkU_gSTcRM_SEUQFXOFZNF`LGbKGd\ IGgHGiFHkEHmCHoBHr9It8Iv6Ix5Iz9GyDFyHEyLCxPBxTAxX9\ x`7wd6wh5wl3vp2vt1vw0vlPXbl8`gD_bHYYLXTPVOUUJYSEaR\ AeVCgYDhaEjdGkgHmkInnKprLquMsxNtsTonYkibgdgc_l_Zk_\ ZkZZkZYjZYjZYiYXiYXhYXhYWhXWgXWgXVfXVfXVfWUeWUeWUd\ WUdVTdVTcVTcVScVSbUSbURaURaUR`TQ`TQ`TQ_TP_SPZSPZSO\ ZSOYROYRNXRNXRNWQMWQMWQMVQLVPLUPLUPKTPKTOKTOJSOJSO\ JROIRNIRNIQNHQNHPMHPMGOMGOMGOLFNLFNLFMLEMKELKELKDL\ KDKJDKJCJJCJJCJIBIIBIIBHI } 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=========================================

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