November 2012 - Fractint - mailman.xmission.com

Fractint version 20.04 patch 12 released
by Jonathan Osuch 24 Feb '15

24 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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FOTD 30-11-12 (Art-Deco Breakup [7])
by Jim Muth 30 Nov '12

30 Nov '12

FOTD -- November 30, 2012 (Rating 7) Fractal visionaries and enthusiasts: Early in their fractal explorations, beginning fractalists discover that the higher dimensional fractals hold little of interest. To put it bluntly, the images all look the same. But to disprove a point, I present today's image, which lies in the very narrow ring of interest at the western edge of the Z^(100)+C Mandeloid. The unexpected action was created by calculating the image with the 'exp' function applied to initial C. This slight addition changed the entire nature of the image. Instead of a screen filled with similar minibrots, we have an interesting assortment of effects, including a vertical range of resolution, from near perfect at the top to total breakdown at the bottom. Curiously, though the large scale breakup is quite obvious, the small-scale edges of the breaks are well resolved. The lower half of the image in particular has an art-deco feeling about it. The name "Art-Deco Breakup" refers to this resemblance. The rating of a 7 is FOTD average. The calculation time of 1-1/3 minutes is also near average. The finished image is online at: <http://www.crosscanpuzzles.com/Archives.html> High-def variations are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images may be accessed at: <http://www.Nahee.com/FOTD/> A mix of sun and clouds with a temperature of 43F +6C made today the latest in a string of similar days here at Fractal Central. The fractal cats passed the day watching the outside conditions as well as each other. The humans did a lot less watching and notably more working. The next FOTD fractal will be posted around December 2. Until whenever, take care, and pseudoscientific occultists claim there are higher-dimensional realities they call astral planes. Totally scientific physicists claim there are higher dimensional realities they call parallel alternate universes. As for me, I'm waiting to see some kind of solid proof that any of these invisible worlds actually exist. (Of course, by definition they are invisible, so how can anyone find solid proof?) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Art-Deco_Breakup { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotFNC function=exp passes=t center-mag=-34.2/0/0.3267943/1/90/0 params=100/0/0\ /0/-1.007026054383232/0 logmap=9 maxiter=1800 inside=0 float=y periodicity=0 mathtolerance=0.05/1 colors=000B8s9Br8Er6Hq5Kp4NpDQnKWlVdjcohYigTdfOZeJ\ UdEOc9JcKMdUPdRqNWrO_sOdtOhtOmuOqvOuvOzsTzqYzobzmg\ zj`zgVzdPzbIz_CzX6zV0zS1zP2zM3tK3qO9lSFgWLa_RUbXTa\ TTaQSaMSaJR`FR`CQ`8Q`5NXDLUKIRRGOYEKeBHl9Es7Bz8Hv8\ Mr8Rn8Xj8af8fb8kZBgWDdUGaRIZPLWMNTKJPQGMWDJ`AFf7Ck\ 49q16v7AsDDpJGmPJjVMg`PebOddOdfNchNcjMclMbnLboLbgT\ _``YUhVNpTpvomc_jLLh26e9GcFPaLY_SfYYoWcx__ocWfgSYk\ OPoKGrH8nFEkEKhDQeCWbBa_AgX9m_EdaJXdOOfSG`eCWr8YsE\ _tKauQcuWevagwgiwlgugetbcsYarT_pOYoJWnEVm9akIgiQng\ Ztefzcnxajv_ftYbsXZqVVoTRnSOUeCAs1SWBi9KYm5`gAcaFe\ WJhROjLSmFXoA`iLacVaeBmUPpJarLcdNeSPgERi1Vk3Zm4bo6\ ep7VqKLrXAsi0sv4pp7nkAlfEi`HgWKeRNcMTUNZKNdAOi0ObU\ PXvQ`vSdwUhwXmxZqxauycyyeZh5_g9`fD`eHadLadPbcTbbWc\ a_cacd`gd_keZoeZrUYKSXLQWLOWMNVMLUMJUNITNGTOESODRO\ BRP9QP8QP7UL6YH6aE5eA4i64m3omytqzxuzrnwmguh`rcVpZO\ mOG2RA3hVT`X`TZgL`nEbuCYt } frm:MandelbrotFNC {; Jim Muth b=p1, z=p2, c=p3+fn1(pixel): z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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Albrecht Niekamp's "Mandel Invasion" (2012-11-30)
by Hal Lane 30 Nov '12

30 Nov '12

While Albrecht Niekamp is on vacation and away from a computer, he has asked me to put some of his images onto my server. Here is a link to his "Mandel Invasion" created using his multifractal_10 formula: http://www.emarketingiseasy.com/Albrecht/2022201.GIF Click the image in your browser for its full size: 1600 x 1200 pixels. The "marching Mandeloids," crackling with electricity, seem to be colliding in the center. The red, blue, silver and gold color map appears to be similar to the one used in yesterday's fractal. The par set is below. The full parameter file for the fractal, including the multifractal_10 formula, is here: http://www.emarketingiseasy.com/Albrecht/2022201.par - Hal Lane ######################## # hallane(a)earthlink.net ######################## ===== Start of par file ============================== 2022201 { ; Mandel_Invasion ; Time 0.02.37 1600/1200 ; 4*mandel reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=exp/exp/exp/sin passes=t center-mag=-0.491807/5.55112e-016/0.9752988 params=-0.05825983458967864/0.3785210730307932/202\ 22.32595710666/25234.4911020602/151024.0204808192/\ 384.32768524288/384.00482000595/128.1007680001/512\ .10076800005/768.10076800002 float=y maxiter=1024 inside=maxiter logmap=4 periodicity=0 rseed=-2436 colors=200A85<17>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A9\ 6875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>00\ 0<23>fffgggiiijjjlll<3>sss<25>BBB999777<2>22200001\ 2<24>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<2>86\ 4 } ==== End of par file ============================

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FOTD 29-11-12 (Kinky Corner [?])
by Jim Muth 29 Nov '12

29 Nov '12

FOTD -- November 29, 2012 (Rating ?) Fractal visionaries and enthusiasts: The FOTD is currently being posted every other day. This is due to an unusually busy spell here at FC. After the holidays, the FOTD will return to its almost-every-day schedule. Today's image shows what a person would see surrounding him if he stationed himself at the center of a Julia spiral. (In this case, the spiral is one of those associated with Seahorse Valley of the Mandelbrot set.) As he looked around, he would see a wall of rings in all directions. If his view were unwrapped and projected onto a flat screen, it would appear as today's image, which is part of a periodic larger image. This larger image is periodic because the 'exp' function shows what he would see if he continued rotating his view indefinitely. Don't shuffle the kids away. The name "Kinky Corner" refers to the small kink in the lower left corner. The image has been stretched about three times in the vertical direction to make the straightened-out spiral arms more apparent. Since the interest is purely mathematical, I could not give the image a rating. The question mark indicates the uncertainty. Unfortunately for those with limited time, the image is a slow one, taking 11 minutes to finish. The good news is that the web sites are there to make fractal life easier. The image may be viewed without the need to calculate it by visiting the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> Variations are posted in high-definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images are at: <http://www.Nahee.com/FOTD/> Cloudy periods alternated with sunny periods here at Fractal Central today, while the temperature of 43F +6C was close to normal. The fractal cats had an average day of it, as did the humans. The next FOTD will be posted in a day or two. Until whenever, take care, and which is more likely to be in two different places at the same time, a Christian saint in a state of bilocation or an electron in its wave aspect? (Both things are apparently impossible, yet both are claimed to be true.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Kinky_Corner { ; time=0:11:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=slices.frm formulaname=JuliaFNZ function=exp passes=1 center-mag=-5.62965/12.738/0.5560629/0.3862/-95/0 params=2/0/-0.5010419796557/0.0152933866127/-0.751\ 85195471/0.030619434187 float=y maxiter=2450 inside=0 logmap=-777 periodicity=0 colors=0000Xd0Ye0Zf0_g0`h0ai1bj2ck3dl4em5fn6go7hp8\ iq9jr9iq9iq9hp9ho9go9fnAfmAemAelAdlAckAcjAbjBbiBah\ B`hB`gB_fB_fBZeBYeCYdCXcCXcCWbCVaCVaCU`DU_DT_DSZDS\ ZDRYDRXDQXDPWEPVEOVEOUENTEMTEMSELSFLRFKQFJQFJPFIOF\ IOFHNDILEHMFHMFHNGHNGHOHHOIHPIHPJHQJHQKHRKHRLHRMHS\ MHSNHTNHTOHUPHUPHVQHVQHWRHWRHWSHXTHXTHYUHYUHZVHZWH\ _WH_XH`XH`YHaYHaZGa_Gb_Gb`Gc`GcaGdbGdbGecGecGfdGfd\ GfeGgfGgfGhgGhgGihGiiGjiGjjGkjGkkGlkGllGlmGmmGmnGn\ nGnoGopGopGpqGpqGqrGqvDxtEusFsrGqqHopImnJkmKhlLfkM\ djNbhO`gPZfQXeRUdSSbTQaUO`VM_WKZXHXYFWZDV_BU`9Ta7T\ c4Sb5Sb5Rb5Rb5Ra5Qa6Qa6Qa6P`6P`6P`6O`7O`7O_7N_7N_7\ M_8MZ8MZ8LZ8LZ8LZ8KY9KY9KY9JY9JX9JX9IXAIXAIXAHWAHW\ AGWBGWBGVBFVBFVBFVBEUCEUCEUCDUCDUCDTCCTDCTDBTDBSDB\ SDASEASEASE9RE9RE9RE8RF8QF8QF7QF7QF3TG5SF6RF7QF8QF\ 9PFBOECOEDNEEMEFMEHLEIKDJKDKJDLIDNIDOHDPGCQFCRFCTE\ CUDCVDCWCBXBBZBB_AB`9Ba9B } frm:JuliaFNZ {; Jim Muth b=p1, z=p2+fn1(pixel), c=p3: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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While Albrecht Niekamp is on vacation (2012-11-29)...
by Hal Lane 29 Nov '12

29 Nov '12

While Albrecht Niekamp is on vacation and away from a computer, he has asked me to put some of his images onto my server. Here is a link to his "Mother of Pearls" created using his multifractal_10 formula: http://www.emarketingiseasy.com/Albrecht/3518702.GIF Click the image in your browser for its full size: 1600 x 1200 pixels. I like the image's Paul Carlson-esque color map. The image's unusual features also seem to be suited to the red, blue, silver and gold color map. You can see the gradual changes in the colors of the map that make the .gif image almost appear like a full color image here: http://www.emarketingiseasy.com/Albrecht/3518702_c.jpg The full parameter file for the fractal, including the multifractal_10 formula is here: http://www.emarketingiseasy.com/Albrecht/3518702.par - Hal Lane ######################## # hallane(a)earthlink.net ######################## ===== Start of par file ============================== 3518702 { ; Mother_of_Pearls ; Time 0.09.83 1600/1200 ; bees-mmods-sec-spid-newt reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.0962826/1.11022e-016/4.901961/1/90/3\ .88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/351\ 87.64595767025/14235.4911030602/152048.0404808048/\ 384.1604894048/384.00482000595/256.1007683001/512.\ 1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=200777<2>222000012<22>0_k0am0bo0cq<3>0jx0kz\ 0jx<24>09C08A068<2>022000211<21>icNkeOmfP<3>unTwpV\ xqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25\ >C00A00800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiii\ jjjlll<3>sss<26>999 } ==== End of par file ============================

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Re: [Fractint] This fractal reminds me of an interstate highway interchange.
by Hal Lane 28 Nov '12

28 Nov '12

Mike, > This fractal reminds me of an interstate > highway interchange. That's a nice image. I remember once getting caught up in a highway interchange that felt like that. The exit I wanted was always one loop away. - Hal Lane ######################## # hallane(a)earthlink.net ######################## Author: Mike Frazier Date: 2012-11-25 20:18 -500 To: Fractint and General Fractals Discussion Subject: [Fractint] Interchange This fractal reminds me of an interstate highway interchange. I will be working on some user interface enhancements for Fracton so I probably won't post many fractals until it is done. Here is a link to an image: http://dl.dropbox.com/u/33642054/image/interchange_1200_5.jpg The Fractint compatible PAR file for the image is: Interchange { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20121125_1809 passes=1 float=y center-mag=-3.25645846439087/-3.814661194115161e-0\ 7/21845.33374956558/1/0/0 params=-1/-1/0/4/-1/0/1/0/0/0 maxiter=2000 inside=0 periodicity=6 colors=bbbcccdddeeefffggghhhiiijjjkkklllmmmnnnooop\ ppqqqrrrssstttuuuvvvwwwxxxyyyzzzrrrsssqqqooommmkkk\ iiigggeeecccaaa___YYYWWWUUUSSSQQQOOOMMMKKKIIIGGGEE\ ECCEAAE88E66E44E22E00F00G00I00K00M00O00P00R00T00V0\ 0X00Z00`00b00c00e00g00i00k00m00o00q00r00t00v00x00z\ 01z13z25z37z39z4Bz5Dz6Fz7Hz8Jz9Lz9NzAPzBRzCTzDUzEW\ zFYzF_zGazHczIezJgzKizLkzLmzMozNqzOszPuzOtyNsxNqwM\ pvLntKmsKkrJjqIhpHgoHenGdmFbkEajE_iDZhCXgBWfBUeATd\ 9Rb8Qa8O`7N_6LZ5KY5IX4HW3FU2ET2CS1BR09P19Q3AR4BT6C\ U7DW9EXAFZCG_DG`FHbGIcIJeJKfLLhMMiONkQPkSSlVUmXXn_\ Zoaapdcqffrhhskktmmuppvrrwuuxwwyzzzzwxzsuzoszkpzgn\ zckz_izWfzSdzOazK_zGXzCVz8Sz4Qz0Nw1Mt1Mp2Lm2Kj2Jh3\ Ie4Hb4G_5GX5FU6ER6DP7DM8CJ8BG9AD99AA97A84B75D86FA7\ IB8KD9ME000111222333444555666777888999AAABBBCCCDDD\ EEEFFFGGGHHHIIIJJJKKKLLLMMMNNNOOOPPPQQQRRRSSSTTTUU\ UVVVWWWXXXYYYZZZ___```aaa } frm:F_20121125_1809 { ; Similar to the parallel resistance formula a=real(p1),b=real(p2),d=imag(p1),f=imag(p2), z=0,c1=pixel-p3,c2=pixel-p4: z=1/(1/(a*z*(cosh(z)-1)+c1)+1/(d*z*z*sinh(z)+c2)), |z|<100 } -- Mike Frazier www.fracton.org -----

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FOTD 27-11-12 (Broken Arches [7])
by Jim Muth 27 Nov '12

27 Nov '12

FOTD -- November 27, 2012 (Rating 7) Fractal visionaries and enthusiasts: Today's image takes us to a tiny minibrot far out on the main spike of the Mandelbrot set, to the region of -1.9999.... As has been the case recently, the minibrot has been enlarged to millions of times its normal size by calculating the scene with exp(C) instead of straight C. The name "Broken Arches" does not refer to a foot problem. It refers to the resolution breakdown in the upper part of the image, and indicates that there is no tricky way to gain extra magnitude other than with more math precision. The rating of a 7 is what I think the image is worth. And it is certainly worth a trip to the FOTD web sites. Gain total worth by viewing the finished image at: <http://www.crosscanpuzzles.com/Archives.html> Feel better by viewing the hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Feel best of all by checking thousands of back images at: <http://www.Nahee.com/FOTD/> The day began with snow here at Fractal Central. The snow fell at a moderate rate all morning before slacking off and ending just after noon. The 'official' FC measurement was 3-1/2 inches or 9mm. When the snow ended, the afternoon temperature rose to 37F +3C, which melted about half the ice. The fractal cats spent the morning watching the big sloppy flakes fall, and the afternoon sleeping. I spent a half hour in the afternoon clearing slush from the walkway, while FL took charge of the hot coffee. The next FOTD will be posted when I think it's ready. Until whenever, take care, and if the same single thing is seen to exist in two separate places at the same time, is it a demonstrated fact of quantum physics or a bilocation miracle claimed by the church? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Broken_Arches { ; time=0:05:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotFNC function=exp float=y center-mag=-29.3728/0.0981905/0.1252939/1.952/-90/0 params=2/0/0/0/-1.999911750271786/4.64e-12 inside=0 maxiter=30000 periodicity=0 mathtolerance=0.05/1 colors=000Whaah`gh_riYlhZfh_`h`Vh`PhaJhbDhc0oM7hcF\ cwEbuDbtDbrCaqCaoBanB`lA`kA`jCciEehGggIjfJleLndNqc\ PsbRuaSw`SpWSiRScMSXHSQCSK8XHF`ELdBSi8Ym5dq2jo8enD\ alIYkNTiSPhXLfaGefCck8bp4al7ahA`dD``G_XI_TLZPOZLRX\ LVZIT`GSaERcBQe9Pf7Oh4Nj2Mk0Ll3Kl5Jm7Im9HnBGnEGoGF\ oIEpKDpKCpKCpJCsIBrGCrEDqCEqAFpBGpBGoCHoCIoCJnDKnD\ KmELmEMlFNlFOnCNlFOkHOjJPiLPhOQgQQfSReTRcURbWSaYS`\ _T_aTZcUYcUacVXcUScQOcMRcOUbPWaQZ`R``Sc_TeZUhYVkXW\ mXUpWSrVQuUOqUMmUKhUIcUGZUEUUCPUAKT8IQ6FN6CL5AJ39I\ 5BK7HR9KWBN`DReFVjHYoJatLrzKdxMzvOctPbrRbpSaoU`mW`\ kX_iZ_g_Zea`jeZdbYZ`XTZUJYWNXXRWZUV_YUa`UbdTdhSekR\ goQnqShrQcrOZsMTsKOtIHuCJtGKsKMrONqSPpWQo_SncWreTn\ fRkfPhfNefLbfJ_fGWfETfCQfANf8Kf18o6HfAPYFYPHhGJeHL\ cHN`HPZIRXITUIVSJXPJZNJeOF`LJXINTFROCVK9ZB6ZG7aL7c\ Q7eV7g_8jd8li8nn8pr8rp9oo9lm9il9gjAdiAagAZfAXeBUcB\ RbBO`BMAkc9je8igEheKhdQhc } frm:MandelbrotFNC {; Jim Muth b=p1, z=p2, c=p3+fn1(pixel): z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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Interchange
by Mike Frazier 25 Nov '12

25 Nov '12

This fractal reminds me of an interstate highway interchange. I will be working on some user interface enhancements for Fracton so I probably won't post many fractals until it is done. Here is a link to an image: http://dl.dropbox.com/u/33642054/image/interchange_1200_5.jpg The Fractint compatible PAR file for the image is: Interchange { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20121125_1809 passes=1 float=y center-mag=-3.25645846439087/-3.814661194115161e-0\ 7/21845.33374956558/1/0/0 params=-1/-1/0/4/-1/0/1/0/0/0 maxiter=2000 inside=0 periodicity=6 colors=bbbcccdddeeefffggghhhiiijjjkkklllmmmnnnooop\ ppqqqrrrssstttuuuvvvwwwxxxyyyzzzrrrsssqqqooommmkkk\ iiigggeeecccaaa___YYYWWWUUUSSSQQQOOOMMMKKKIIIGGGEE\ ECCEAAE88E66E44E22E00F00G00I00K00M00O00P00R00T00V0\ 0X00Z00`00b00c00e00g00i00k00m00o00q00r00t00v00x00z\ 01z13z25z37z39z4Bz5Dz6Fz7Hz8Jz9Lz9NzAPzBRzCTzDUzEW\ zFYzF_zGazHczIezJgzKizLkzLmzMozNqzOszPuzOtyNsxNqwM\ pvLntKmsKkrJjqIhpHgoHenGdmFbkEajE_iDZhCXgBWfBUeATd\ 9Rb8Qa8O`7N_6LZ5KY5IX4HW3FU2ET2CS1BR09P19Q3AR4BT6C\ U7DW9EXAFZCG_DG`FHbGIcIJeJKfLLhMMiONkQPkSSlVUmXXn_\ Zoaapdcqffrhhskktmmuppvrrwuuxwwyzzzzwxzsuzoszkpzgn\ zckz_izWfzSdzOazK_zGXzCVz8Sz4Qz0Nw1Mt1Mp2Lm2Kj2Jh3\ Ie4Hb4G_5GX5FU6ER6DP7DM8CJ8BG9AD99AA97A84B75D86FA7\ IB8KD9ME000111222333444555666777888999AAABBBCCCDDD\ EEEFFFGGGHHHIIIJJJKKKLLLMMMNNNOOOPPPQQQRRRSSSTTTUU\ UVVVWWWXXXYYYZZZ___```aaa } frm:F_20121125_1809 { ; Similar to the parallel resistance formula a=real(p1),b=real(p2),d=imag(p1),f=imag(p2), z=0,c1=pixel-p3,c2=pixel-p4: z=1/(1/(a*z*(cosh(z)-1)+c1)+1/(d*z*z*sinh(z)+c2)), |z|<100 } -- Mike Frazier www.fracton.org

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FOTD 25-11-12 (Multiplication of the Rectangles [7])
by Jim Muth 25 Nov '12

25 Nov '12

FOTD -- November 25, 2012 (Rating 7) Fractal visionaries and enthusiasts: NEW FORMULA ALERT. This is the first time I have posted an image created with today's JuliaFNZ formula, which is simply the Julia version of the MandelbrotFNC formula. The name "Multiplication of the Rectangles" refers to the brilliant blue arch-shaped features in the image. These blue areas are actually close-up views of the mysterious rectangle in the Z^(2.003)+C Julia set, which have been distorted beyond recognition. The rating of a 7 is a continued improvement, though far from the lofty heights reached by some FOTD images. The calculation time of 2-1/2 minutes will pass quickly. Gratification may be achieved faster on the FOTD web sites. Avoid calculation altogether by viewing the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> And enjoy the hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images are available at: <http://www.Nahee.com/FOTD/> Heavy scudding clouds, blustery winds and a temperature of 36F +2C made today feel like midwinter here at Fractal Central. The fractal cats made it through the day peacefully, while the humans did the same. The next FOTD will be posted in a day or two. Until whenever, take care, and nothing is more frustrating than people out demanding that we adopt their solutions to problems they don't comprehend. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Mult_of_the_Rects { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=slices.frm formulaname=JuliaFNZ function=exp passes=1 center-mag=-8.53244/1.57069/0.2026689/1/-90/0 params=2.003/0/0/0.074253572/-1.74315/0 float=y maxiter=1500 inside=fmod proximity=0.045 logmap=28 periodicity=0 mathtolerance=0.05/1 colors=0005Pz6Uz6Zz7cz7hz8rz9zz_gUZeTYdSXbRVaQU`PT\ ZOSYNRWMPVMOTLNSKMRJLPIJOHIMGHLFGJEFIDAGBCHCEHDGIE\ IIEKJFMJGOKGQKHSLIULIWLJYMK_MLaNLcNMeONgONiPOkPPlP\ PjOQiNRhNRgMSfMTeLTdLUcKVbJVaJW`IX_IXZHYYHYWGZVF_U\ F_TE`SEaRDaQDbPCcJBbHBbCAbAAaKAaIA_DA_A9ZC7ZA5Y84X\ D5U45T26RA6Q97O07N08L08K08J29I49H6AG8AFABECBDEBDGC\ CICCKDBMDBOEAQEASE9UF9WF9XGAYGAZHA_HA`HAZIEYJJWKMV\ LPRJQUMRWOSZRS`TTbVTeYUg_UjbVldVnfWqiWskXumXtkWtjW\ tiWshVsgVsfVseVrcUrbUraUq`Tq_TqZTqYTpWSpVSpUSoTRoS\ RoRRoQRpRTpSUpSVqTXqTYqUZqU_rVarVbrWcrWdsXfsYgsYht\ ZjtZkt_lt_mu`ou`puaqybvwatuars`qq`op_nn_llZkjZihYh\ gYfeYdcXcaXa_W`ZWZXVYVVWTUVRUTQUSRVTSVUSVUTVVUVVUV\ WVVWWVXWVXXVYYVYYWZZWZ_W__W_`W`aW`aWabWacWbcWbdWcV\ ckdWcfShjQbmPXqNR7TLtMMsKOsJQsISsHUsGWsFYsE_uCbsDa\ rE`qF_pG_oHZmIYlJYkKXjLWiMWgNVfOUePUdQTcRSaSR`TR_U\ QZVPYWPWXOVYNUZNT_MS`LScJ } frm:JuliaFNZ {; Jim Muth b=p1, z=p2+fn1(pixel), c=p3: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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Orbicular
by Mike Frazier 24 Nov '12

24 Nov '12

This fractal has circles, ovals, rounded rectangles, diamonds, and a square. Here is a link to an image: http://dl.dropbox.com/u/33642054/image/orbicular_1200_5.jpg The Fractint compatible PAR file for the image is: Orbicular { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20121123_2022 passes=1 float=y center-mag=-3.953281687312188/-5.224562695854533e-\ 15/888888900000/1/0/0 params=-1/1/0/4/-1/0/1/0/0/0 maxiter=2000 inside=0 periodicity=6 colors=000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O\ 40C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40\ C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C1\ 0000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C100\ 00C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000\ C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C1\ 0O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O\ 40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40\ ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA\ 0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0h\ I0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0\ oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS\ 0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0u\ a0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0\ ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0ym\ 0zy0ym0ua0oS0hI0ZA0O40C10 } frm:F_20121123_2022 { ; Similar to the parallel resistance formula a=real(p1),b=real(p2),d=imag(p1),f=imag(p2), z=0,c1=pixel-p3,c2=pixel-p4: z=1/(1/(a*z*(cos(z)-1)*sin(z)+c1)+1/(d*(z^f)+c2)), |z|<100 } -- Mike Frazier www.fracton.org

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