October 2013 - Fractint - mailman.xmission.com

FOTD 28-10-13 (Deep Blue [A-8,M-5])
by Jim Muth 29 Oct '13

29 Oct '13

FOTD -- October 28, 2013 (Rating A-8,M-5) Fractal visionaries and enthusiasts: We return today to the best known fractal of all, the Mandelbrot set, where we check the main stem and find a minibrot on a high- order filament radiating from a series of ever-smaller minibrots. Most of the somber effect is due to my coloring, which earns the art aspect an excellent 6. Since the M-set is the best known of all fractals, the math is so familiar that I could rate the math aspect no higher than a 5. The name "Deep Blue" refers to the heavy color scheme. Yes, my colors do seem to be becoming more depressive lately, but there is nothing much I can do about it, since I am only partly in control of the appearance of the images. (To see a change in the appearance of the image, reset the bailout to 10.) The scene lies deep enough to make arbitrary precision math necessary. This greatly slows the calculation time, but the main stem is a fast area for arbitrary precision math, and the final calculation time of 1-3/4 minutes is well within reason. If any unreason remains, the web sites can bring a return to the world of reason. View the finished product quite reasonably at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> and <http://user.xmission.com/~legalize/fractals/fotd/about.html> Near perfect end-of-October weather prevailed here at Fractal Central today. The older fractal cat tried to enjoy the sun on his shelf, but the new fractal cat kept annoying him by batting at his dangling tail. He finally had enough and tucked his tail under him. The fractal humans had a slow but pleasant day. The next FOTD will be posted in the proper time. Until we find out what time is proper, take care, and a rational world view would be far simpler to maintain if rational physicists doing serious science didn't keep theorizing invisible worlds that obviously remind people of the spirit worlds claimed to exist by spiritualists. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Deep_Blue { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=mandel center-mag=-1.9397042121995\ 310129/0.00162029899672273069/9.401734e+014/1/\ -152.5/0 params=0/0 float=y maxiter=1500 inside=0 logmap=144 periodicity=6 colors=00076P76N65L65J54H44F43D33B3292271151130006\ Bz83s73o62f52b42X31U21O10K004UzzUrwmKZZKBKKIKKOECU\ HE_KMeNKkQJqSSrU_sWgtgouwzzruzksrclpd_o`Omgbkg_XZW\ PPSIGIA7E3Ea8KhDRrHXvMbzQWvRQrRJmSDjSBgX9i`8kd6mh4\ ol3qp1st0tx9fpIUhRH`PKbNMcLPdJRfHUgGWhIHaK3WN2YQ1_\ S1`V0bX0cMYPOYMQYKRYITYGVYEWYCYYAZY8TkLNxXapSohOTJ\ 0RI4PI7NHALHDJGGHGJGGMSPFcX8geGknOnqMqsKsuIvwGxyEq\ wHjvJdtLYsNRrQLpSEoU8nWRoGjaGebCab8Xc4Tc0Xb2_a3b`5\ e`6i_7lZ9oYArYBsTKtPTuKavGjvCsiGuXKwbJogIgmI`rHTwH\ MkJJ_LGOMECOB0P95QG9RMDSTHTZLUePUkQUjRUhSTgTTeUTdU\ TbVSaWS_XSZYSXZSVZRU_RS`RRaRPbQOcQMcULdUJeUIfUGgUF\ hUDhUCfUBhcBhcBhcAhcAhcAhc9hc9hc9mm8mm8mm8mm8mm7mm\ 7mm7mm6rz6rz6rz5rz5rz5rz4rz4rz4czzXzzQzzJzzCzzVzzm\ zzfzz_zzTzzMzzFzz8zzCzzFzzZzzdzzizzdzz_zzVzzRzzbzz\ bzzbzz_zzYzzVzzTzzRzzOzzMzzKzzIzzGzzFzzFzzEzzEzzDz\ zCzzCzzBzzBzzAzz9zz9zz8zz } END PARAMETER FILE=========================================

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Mandelmania
by Albrechtx 29 Oct '13

29 Oct '13

HI, : Mandel zooming is extremely fascinating and it´s not the first time I discover that. Some years ago there was a series named Mandelmania and I´m using that name again, but the images are much better this time. Still learning and the software has improved. One image is something extra special - check it out. : All mandel images are in a new folder - link below. : https://www.dropbox.com/sh/71cistem4fdadr4/N_tWBOvOOJ : Albrecht ==========Start Parameter================================================== 22222-1 { ; Mandelmania 1 ; 5*mandel ; 5 complexities added and no chaos ; 00.13.31.68 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.34162/-2.22045e-016/19.7051 params=-0.05825983458967864/0.3785210730307932/22222.64595710005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200O00<6>A00<4>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjlll<3>sss<\ 25>BBB999777<2>222000012<22>0_k0am0bo0cq<3>0jx0kz0jx<24>09C08A068<2>0220\ 00211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z\ 00<18>Q00 } 22222-3 { ; Mandelmania 2 ; 5*mandel ; First Zoom ; 0.27.05.20 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.38235539732193100/+0.01240182832849480/229.1291/1/-12.4999\ 999999993499/-5.5939280985128903e-013 params=-0.05825983458967864/0.3785210730307932/22222.64595710005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200GGG<3>999777555444222000<23>0_k0am0bo0cq<3>0jx0kz0jx<24>09C08A\ 068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00\ q00s00<3>z00<25>C00A00800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjlll<\ 3>sss<21>III } 22222-4 { ; The sensational flying mandel ; 5*mandel ; second zoom ; 0.25.09.68 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.38216535973731000/+0.01356263024011265/1684.773/1/-12.5000\ 000000035172/-5.05012698326368081e-014 params=-0.05825983458967864/0.3785210730307932/22222.64595710005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200GGG<3>999777555444222000<23>0_k0am0bo0cq<3>0jx0kz0jx<24>09C08A\ 068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00\ q00s00<3>z00<25>C00A00800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjlll<\ 3>sss<21>III } 22222-7 { ; Mandel Island ; 5*mandel ; Third zoom ; 0.18.54.97 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.28604486313414700/+0.00419049353397553/740.7933/1/19.99999\ 9999998348/3.07916192543444822e-012 params=-0.05825983458967864/0.3785210730307932/22222.64595710005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200PPP<7>BBB999777<2>222000012<22>0_k0am0bo0cq<3>0jx0kz0jx<24>09C\ 08A068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>\ o00q00s00<3>z00<25>C00A00800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjl\ ll<3>sss<16>QQQ }

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Mandel Images
by Albrechtx 29 Oct '13

29 Oct '13

HI, there´s a good reason I´m already back: : Is it really possible - more then 20 years millions of people have played with the mandel formula and yet today I come up with images no one has ever seen before? If you look at the Playground folder in the Drop Box there are 4 zooms for the 20202 image, all are unique I would say. Correct me if I´m wrong. The difference of course is the Multifractal "Formula" which places one image inside another or you can also say it adds one complexity to another and the transitions are handled by programmable reset commands so (mostly) no chaos is the result. This image proves that it gains complexity the deeper you zoom and yet you have mandel images. The last one 20202-4 is not a pretty image but more a zooming source. Any feedback is welcome! Albrecht

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20202 Zooms
by Albrechtx 28 Oct '13

28 Oct '13

HI, : these are the parameters for the zooms into yesterday´s mandel image, probably you have already seen them in the Dropbox folder. 20202-8c needs almost one hour but - look closely- maybe you´ll like it. 20202-5 is the same image as 20202 but with activated reset commands, z and iteration, so the complexity does not change. : https://www.dropbox.com/sh/ybfjea1svuis47e/fyAx6iJrO- : Albrecht ==========Start Parameter================================================== 20202-8c { ; mand-zero-mand-zero-mand ; Hypercomplex Spiral ; time 00.51.23.13 ; 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.48534166406331800/+0.01083911700439379/5.779406e+007/1/-60\ .0000001674039751/3.28462650557581615e-007 params=-0.05825983458967864/0.3785210730307932/20202.64595730005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=000jps<3>puxrwz000<3>000FFF<12>TTTUUUWWW<27>rrrrrrsss<2>vvvwwwzrZ\ <42>QC5PB4OA3<2>L71K50K62<19>TKPULQULR<3>XPWYRXZSY<14>rnosoptqr<2>xuuzww\ zt`<30>_LEZJDYICYHCXGBWFA<6>Q75P64O53<3>K000AA<17>EMPFNPFOQ<3>JRULSVMUX<\ 16>ior } 20202-1 { ; First Zoom ; Mand-zero-mand-zero-mand ; time 00.11.47.99 ; 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.48530904487393000/+0.01091088527057470/3180.985/1/-90/-1.2\ 3373533611470521e-014 params=-0.05825983458967864/0.3785210730307932/20202.64595730005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200NNN<6>BBB999777<2>222000012<22>0_k0am0bo0cq<3>0jx0kz0jx<24>09C\ 08A068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>\ o00q00s00<3>z00<25>C00A00800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjl\ ll<3>sss<17>PPP } 20202-2 { ; Second Zoom ; Mand-zero-mand-zero-mand ; time 00.11.30.85 ; 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.48534284788754800/+0.01083026547953515/36988.2/1/-90/3.885\ 78058618804789e-016 params=-0.05825983458967864/0.3785210730307932/20202.64595730005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200OLD<5>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000\ <11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjlll<3>sss<25>BBB999777<2>222000012<\ 22>0_k0am0bo0cq<3>0jx0kz0jx<24>09C08A068<2>022000211<21>icNkeOmfP<3>unTw\ pVxqWzsX<18>QNE } 20202-3 { ; Third Zoom ; Mand-zero-mand-zero-mand ; time 00.11.30.85 ; 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.48534512067926400/+0.01083996082871444/303182/1/-90/3.8857\ 8058618804789e-016 params=-0.05825983458967864/0.3785210730307932/20202.64595730005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200OLD<5>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000\ <11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjlll<3>sss<25>BBB999777<2>222000012<\ 22>0_k0am0bo0cq<3>0jx0kz0jx<24>09C08A068<2>022000211<21>icNkeOmfP<3>unTw\ pVxqWzsX<18>QNE } 20202-5 { ; Mandel Overpopulation ; Mand-zero-mand-zero-mand ; time 00.01.52.15 ; No Reset Commands 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.49417/-0.01437/0.9630625 params=-0.05825983458967864/0.3785210730307932/20202.64595733338/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjlll<3>sss<25>BBB\ 999777<2>222000012<22>0_k0am0bo0cq<3>0jx0kz0jx<24>09C08A068<2>022000211<\ 21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<26>\ A00 }

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FOTD 27-10-13 (Fright Night [A-8,M-6])
by Jim Muth 27 Oct '13

27 Oct '13

FOTD -- October 27, 2013 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that results when 3.5 parts of Z^(-1.1) are combined with 0.5 part of Z^(-5.5) before (1/C) is added on each iteration. The default screen view of this parent is little more than a field of unorganized blobs forming a hint of a valley, but two full outzooms reveals a fully formed but quite distorted Mandeloid, with a ring-lined filament extending southeast to where it joins a large ring. Today's scene, with its abundance of sharp bright spikes, lies near the point where this filament joins the large ring. Since the season is one of fright, and sharp things such as daggers and axes are trendy at this time of year, when I saw the scary sharpness in the image, I named it "Fright Night". With a modicum of coloring effort going into the image, its rating is worth an honorable 8. The math worth remains a 6, since the MandAutoCritInZ formula has been doing its thing for over a decade, and has long since lost its math impact. The calculation time of 4 minutes is slow, no denying it, but once again the web sites are on the job, with not only the original image but assorted variations as well. The finished image is available on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> which may soon be re-designed with new and greater features. The image with additional variations is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and also at: <http://www.Nahee.com/FOTD/> and: <http://user.xmission.com/~legalize/fractals/fotd/about.html> Today brought a mix of sun and clouds to Fractal Central, while the breeze from the northwest and temperature of 54F 12C added a proper end-of-October atmosphere to the scene. The fractal cats, still interested in getting accustomed to each other, had little interest in the outside conditions. The humans had a reasonably quiet day. The next FOTD will likely be posted in about one day, but possibly two days. Until next time, take care, and they can't put it on the news shows if it isn't true. Or can they?... Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Fright_Night { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+96.84710700506818/-56.0569704879051/\ 3.965998e+009/1/-32.5/0 params=3.5/-1.1/0.5/-5.5/0\ /0/0/0 float=y maxiter=1500 inside=0 logmap=320 periodicity=0 mathtolerance=0.05/1 colors=00000M00M00M00N00N00P00P00R00R00S00S00U00U0\ 0U00U00U00U00U00U30U30U30U30U40U40U40U60U60U60U90U\ 90U90UB0UB0UB0UB0UC0UC0UC0UC0SA0R90P60N60M30K00I00\ G00E00B006003000000000zzzzzzzwztvyrqrmmmikieeecccR\ RRMMMGGGBBB444000000hzz_zzSymMomGcc9Sc0GU0IWBKY9GV\ 6ES4CP3BN39K06G04C00B006003000000000000azvYoiPdX4R\ K0630hz0`z0Ut0Mi0EX04K0030pi0ld0h`0cY0_U0VP0RM0MG0\ GC0B6040000000_ltXhpUclR`hNXcKU_GPVCMR9GM4BG06B004\ 000000ntyMRU0cs0bYoSzkPzgMwbIrYGlUCgP9`K6VE3P90I30\ B003000zN0zK0zG0vC0n90d40V00M00B00000Pi3Mc0I_0EU0B\ P06K03C0060000000zri`PKb00X00S00N00I00B00400000000\ zBgz6`z4Xz3Sz0Nz0Iz0Bz04z00z00zl9zh6zd4zPgr0lc0rU0\ wN0zE3z64z06z06z04z64zE4zM4zS4zYPzcPyk3vpcsvcozclz\ chzcdzcbzc`yr_orYgrXXrVMrU9rS0zR6zPEzNMzMSzK_zIdzG\ zzEzzCzzBzz9zz9zz9zz9zz9zz9zz9zz6zz6zz6zz6zz6zz6zz\ 6zz4zz3zz0zz0zz0zz0zz0zz0 } 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=========================================

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circle13
by JackOfTradeZ＠comcast.net 27 Oct '13

27 Oct '13

. ""Jack how about an animation, maybe more atravel then a deep zoom? Possibly even usingmy music done with "Circles". If you wantI?ll supply the midi or wav edition"" Circle13 loox the best. There are TOO MANY complex parameters to try animating, unless someone wants to suggest a range of values I can try. Zoom in to circle13 shows a never ending series of complex rings - may be cool, I will check it out. If it works I will see about the music. .

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- Two unsusual mandel images
by Albrechtx 27 Oct '13

27 Oct '13

HI, : These are two unusual but interesting images created today from the scratch. The second one is an extra candy for all those mandel fetishists, somehow I´m still one of them. : https://www.dropbox.com/s/sdme4wfebs14g6v/Playground.mp3 https://www.dropbox.com/sh/ybfjea1svuis47e/fyAx6iJrO- : Albrecht : START PARAMETER FILE======================================================= 26748 { ; mand-phoen-newt-jul-spid ; Mandel Type but does not look like it ; time 00.16.47.56 ; 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.28062/2.08167e-017/30.70214/1/90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/26748.64595710005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<2>110110000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0\ F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<\ 4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16\ >kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<12>110 } 20202 { ; mand-zero-mand-zero-mand ; A most unsusual brot ; time 00.10.08.47 ; 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.36182/-8.32667e-017/7.952463 params=-0.05825983458967864/0.3785210730307932/20202.64595730005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200S00<8>A00<4>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjlll<3>sss<\ 25>BBB999777<2>222000012<22>0_k0am0bo0cq<3>0jx0kz0jx<24>09C08A068<2>0220\ 00211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z\ 00<16>U00 } frm:multifractal_10 { ; Albrecht Niekamp Jan2005 ;RP2 Left: 5 Digits_Channel:1_main 2_outside 3_inside1 4_inside2 5_inside3 ; Frms: 0_off 1_Sec 2_Mand(2) 3_Bees 4_Jul 5_Mmod 6_Phoen 7_Newt 8_Spid ; Right: 2 Digits_MMods_Number of sides 2 Dig_Phoenix 2 Dig_Spider ; 1 Dig_TransReset_main :0_no 1_dblmand 2_Iter-res 3_both +5_warp ; 4 Dig_TransReset_Ch2-5:0_no 1_z-reset 2_Iter-res 3_both +5_warp ;IP2 Left: 5 Digits_Bailout Number for Channels 1 to 5 ; Right: Variab: 4 Digits_Mand/Jul(2 var) 2 Digits_Secant 4 Digits_Bees ;RP3 Left: 2 Digits_Newtonvariable 4 Digits_Colour1 ; Right: 5 Digits_Colour2 5 Digits_Colour3 ;IP3 Left: Main: 5 Digits_Warp-factor (fn1 is used) ; Right: 5 Digits_Colour4 6 Digits_Colour5 ;RP4 Left: Outside: 5 Digits_Warp-factor (fn2 is used) ; Right: Outside: 4 Dig+1 fractaldig_bord-out 4 Dig+1 fractaldig_bord-in ;IP4 Left: Inside1_Maxiter ; Right: Inside1_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn2 used) 4 Dig+1 fractaldig_border1 ;RP5 Left: Inside2_Maxiter ; Right: Inside2_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn3 used) 4 Dig+1 fractaldig_border2 ;IP5 Left: Inside3_Maxiter ; Right: Inside3_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn4 used) 4 Dig+1 fractaldig_border3 ; Altnat: Left: 1_Lake effect enabled (Inside3 disabled) ; Right: 2 Digit_Frequency 2 Digit_Waterlevel 2 Digit_Amplitude ; le=0 z=pixel da=real(p2) dd=trunc(da) da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=d>1 sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=d>1 sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=d>1 sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=dd==2 sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) ex0=d>4 da=da-d*10000 d=d-5*ex0 dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) tt=ex1+ex0+ex2+ex3+ex4 ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/100000) ba3=da-100000*ba2 ; d=imag(p3) sfac=trunc(d) da=(d-sfac)*100000000000 ba4=trunc(da/1000000) ba5=da-ba4*1000000 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; if (mi3==1) d=(ba-mi3)*1000000 fr=round((trunc(d/10000))*10) ;lake effect by S.Gallet d=d-fr*1000 lv=(trunc(d/100))/100 d=d-lv*10000 am=d/100 u=real(rotskew*pi/180) t=exp(-flip(u)) bo=1/real(magxmag) q=bo/0.75*imag(magxmag) dd=tan(imag(rotskew*pi/180)) da=2*q*t rs=2*bo*(dd+flip(1))*t zz=center+(-q-bo*dd-flip(bo))*t z=z-zz d=imag(conj(da)*z)/imag(conj(da)*rs) le=d<=lv if (le) dd=lv-d z=z+2*dd*(1+am*sin(fr*dd^0.2))*rs endif z=z+zz else da=(ba-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=d==3 fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 endif ; if (vb) if (d3) if (ab) z=z*le+pixel*(le==0) ;Spider c=p1 else z=z*le+pixel*(le==0) c=p1 ;newton endif elseif (ab) c=z ;Phoenix z=z*le+pixel*(le==0) else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) c=p1 ;Julia z=z*le+pixel*(le==0) else ;bees c=p1 z=z*le+pixel*(le==0) endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=z*le+pixel*(le==0) endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=z*le+pixel*(le==0) cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) z=z*z+c ;Spiderjul John Horner c=c*sp+z else z1=z^p-1 ;Quasinewton Puskas Istvan z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix Mike Wareman zold=z z=z1 else z2=fn1(z)+c ;Many_mods Linda Allison z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) z2=z*z ;Julia Puskas Istvan z=z2*z2+p6*z2+c-p0 else z1=fn1(z)-cb ;Bees Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel Puskas Istvan z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant Mike Wareman z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba }

1 0

[fractint] Playground - Images and Music
by Albrechtx 26 Oct '13

26 Oct '13

HI, this is the "Playground" image, another one to play the game of zooming. Not quite as many as the "Circles", but good images. The total view (not shown here) is quite unique: an endless band of quadratic images and three main images in the center. Please listen to the music, I think it´s worth it: Two guitarists playing ying-yang style. The MP3 quality is the best possible: 320KB High Quality Dual Channel. : The images are in 1280/1024 resolution suitable for a wide screen monitor. The link is for a folder containing all images. : https://www.dropbox.com/s/sdme4wfebs14g6v/Playground.mp3 https://www.dropbox.com/sh/ybfjea1svuis47e/fyAx6iJrO- : Albrecht : START PARAMETER FILE======================================================= Playground1 { ; Playground almost total view ; ; Time 0.04.7.60 1280/1024 ; Fractint Version 2004 Patchlevel 11 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.16117823084441430/+0.00000000000000025/77.51936 params=-0.05825983458967864/0.3785210730307932/35187.64595767025/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000N0B<2>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX\ 0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkamm\ cpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<6>220220220<3>1\ 10000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<\ 8>R0C } Playground5 { ; Playground Zoom1 ; ; Time 0.06.62.49 1280/1024 ; reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-10.9833/5.32907e-015/0.4252949 params=-0.05825983458967864/0.3785210730307932/35187.64595767025/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<8>000000000<3>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0\ NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm\ <3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<6>220220220<3>110000110<2\ >000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0\ C<3>A08004000<16>000 } Playground7 { ; Playground Zoom3 ; Insect or Spaceship? ; Time 0.01.38.97 1280/1024 ; reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-8.75278/0.0123289/3.780534/1/90/-1.23373533611470521e-014 params=-0.05825983458967864/0.3785210730307932/35187.64595767025/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<8>000000000<3>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0\ NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm\ <3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<6>220220220<3>110000110<2\ >000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0\ C<3>A08004000<16>000 } Playground8 { ; Playground Zoom4 ; Hybrid Sierpinski ; Time 0.01.37.44 1280/1024 ; reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-8.77760640959148100/-0.00007987677345293/181.7564/1/90/3.885\ 78058618804789e-016 params=-0.05825983458967864/0.3785210730307932/35187.64595767025/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<8>000000000<3>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0\ NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm\ <3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<6>220220220<3>110000110<2\ >000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0\ C<3>A08004000<16>000 } Playground10 { ; Playground Zoom5 ; Used for generating fractal music ; Time 0.02.03.25 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-8.77858523660772900/-0.00007987677345293/649.1301/1/90/3.885\ 78058618804789e-016 params=-0.05825983458967864/0.3785210730307932/35187.64595767025/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<8>000000000<3>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0\ NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm\ <3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<6>220220220<3>110000110<2\ >000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0\ C<3>A08004000<16>000 } frm:multifractal_10 { ; Albrecht Niekamp Jan2005 ;RP2 Left: 5 Digits_Channel:1_main 2_outside 3_inside1 4_inside2 5_inside3 ; Frms: 0_off 1_Sec 2_Mand(2) 3_Bees 4_Jul 5_Mmod 6_Phoen 7_Newt 8_Spid ; Right: 2 Digits_MMods_Number of sides 2 Dig_Phoenix 2 Dig_Spider ; 1 Dig_TransReset_main :0_no 1_dblmand 2_Iter-res 3_both +5_warp ; 4 Dig_TransReset_Ch2-5:0_no 1_z-reset 2_Iter-res 3_both +5_warp ;IP2 Left: 5 Digits_Bailout Number for Channels 1 to 5 ; Right: Variab: 4 Digits_Mand/Jul(2 var) 2 Digits_Secant 4 Digits_Bees ;RP3 Left: 2 Digits_Newtonvariable 4 Digits_Colour1 ; Right: 5 Digits_Colour2 5 Digits_Colour3 ;IP3 Left: Main: 5 Digits_Warp-factor (fn1 is used) ; Right: 5 Digits_Colour4 6 Digits_Colour5 ;RP4 Left: Outside: 5 Digits_Warp-factor (fn2 is used) ; Right: Outside: 4 Dig+1 fractaldig_bord-out 4 Dig+1 fractaldig_bord-in ;IP4 Left: Inside1_Maxiter ; Right: Inside1_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn2 used) 4 Dig+1 fractaldig_border1 ;RP5 Left: Inside2_Maxiter ; Right: Inside2_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn3 used) 4 Dig+1 fractaldig_border2 ;IP5 Left: Inside3_Maxiter ; Right: Inside3_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn4 used) 4 Dig+1 fractaldig_border3 ; Altnat: Left: 1_Lake effect enabled (Inside3 disabled) ; Right: 2 Digit_Frequency 2 Digit_Waterlevel 2 Digit_Amplitude ; le=0 z=pixel da=real(p2) dd=trunc(da) da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=d>1 sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=d>1 sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=d>1 sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=dd==2 sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) ex0=d>4 da=da-d*10000 d=d-5*ex0 dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) tt=ex1+ex0+ex2+ex3+ex4 ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/100000) ba3=da-100000*ba2 ; d=imag(p3) sfac=trunc(d) da=(d-sfac)*100000000000 ba4=trunc(da/1000000) ba5=da-ba4*1000000 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; if (mi3==1) d=(ba-mi3)*1000000 fr=round((trunc(d/10000))*10) ;lake effect by S.Gallet d=d-fr*1000 lv=(trunc(d/100))/100 d=d-lv*10000 am=d/100 u=real(rotskew*pi/180) t=exp(-flip(u)) bo=1/real(magxmag) q=bo/0.75*imag(magxmag) dd=tan(imag(rotskew*pi/180)) da=2*q*t rs=2*bo*(dd+flip(1))*t zz=center+(-q-bo*dd-flip(bo))*t z=z-zz d=imag(conj(da)*z)/imag(conj(da)*rs) le=d<=lv if (le) dd=lv-d z=z+2*dd*(1+am*sin(fr*dd^0.2))*rs endif z=z+zz else da=(ba-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=d==3 fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 endif ; if (vb) if (d3) if (ab) z=z*le+pixel*(le==0) ;Spider c=p1 else z=z*le+pixel*(le==0) c=p1 ;newton endif elseif (ab) c=z ;Phoenix z=z*le+pixel*(le==0) else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) c=p1 ;Julia z=z*le+pixel*(le==0) else ;bees c=p1 z=z*le+pixel*(le==0) endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=z*le+pixel*(le==0) endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=z*le+pixel*(le==0) cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) z=z*z+c ;Spiderjul John Horner c=c*sp+z else z1=z^p-1 ;Quasinewton Puskas Istvan z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix Mike Wareman zold=z z=z1 else z2=fn1(z)+c ;Many_mods Linda Allison z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) z2=z*z ;Julia Puskas Istvan z=z2*z2+p6*z2+c-p0 else z1=fn1(z)-cb ;Bees Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel Puskas Istvan z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant Mike Wareman z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba }

1 0

Rotating the Zoombox Problem
by Albrechtx 26 Oct '13

26 Oct '13

I used to rotate the zoombox using the ctr-pos1 or ctr end keys but that doesn´t work anymore probably as I have a 16/9 screen. Found out that it´s still possible with a trackball or mouse using the right button and straight left or right movement but that´s not reliable as all other zoombox functions are supplied and you might loose the image. Question: which keys can do the job?? Grateful for any help Albrecht

2 2

Circles Zooms
by Albrechtx 26 Oct '13

26 Oct '13

HI, got a message from someone who apparently got mad about all the treasures hidden in the "Circles" image. So here´s some more stuff of the "other" kind - a surrealistic Christmas tree and two abstract dishes for the dinner. The images have been added to the folder and the link remains valid. : Jack how about an animation, maybe more a travel then a deep zoom? Possibly even using my music done with "Circles". If you want I´ll supply the midi or wav edition. : The images are in 1280/1024 resolution suitable for a wide screen monitor. The link is for a folder containing all images. : https://www.dropbox.com/s/kw95x8d8ba9hvhq/Circles.mp3 https://www.dropbox.com/sh/nzy2kvaqy7qb85t/6vxVxVChip : Albrecht : START PARAMETER FILE======================================================= Circles11 { ; Surrealistic Christmas Tree ; time 0.08.17.19 1280/1024 ; newt-phoen-mmods-bees-sec reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.14195019289124690/-0.19196588078239110/100.8087/1/37.50000\ 00000000497/-6.3227201252402665e-014 params=-0.05825983458967864/0.3785210730307932/76531.07595702022/14235.4\ 911030602/150512.0404808048/384.3204896048/384.00482000595/128.200000859\ 1/256.2000004001/512.3000008001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<3>000000000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3\ >zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<\ 4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<11>\ 2TG2RE3OC<2>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<4\ 2>000 } Circles13 { ; Abstract Dish2 ; time 0.01.48.80 1280/1024 ; newt-phoen-mmods-bees-sec reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.13787075308815110/-0.18765509604803590/4064.869/1/-62.5000\ 000000003624/2.86288354134356382e-012 params=-0.05825983458967864/0.3785210730307932/76531.07595702022/14235.4\ 911030602/150512.0404808048/384.3204896048/384.00482000595/128.200000859\ 1/256.2000004001/512.3000008001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<3>000000000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3\ >zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<\ 4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<11>\ 2TG2RE3OC<2>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<4\ 2>000 } Circles12 { ; Abstract Dish ; time 0.13.15.49 1280/1024 ; newt-phoen-mmods-bees-sec reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.13487887367312550/-0.19593702408928510/5215.684/1/37.49999\ 99999986429/2.90105439670895748e-012 params=-0.05825983458967864/0.3785210730307932/76531.07595702022/14235.4\ 911030602/150512.0404808048/384.3204896048/384.00482000595/128.200000859\ 1/256.2000004001/512.3000008001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<3>000000000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3\ >zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<\ 4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<11>\ 2TG2RE3OC<2>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<4\ 2>000 } frm:multifractal_10 { ; Albrecht Niekamp Jan2005 ;RP2 Left: 5 Digits_Channel:1_main 2_outside 3_inside1 4_inside2 5_inside3 ; Frms: 0_off 1_Sec 2_Mand(2) 3_Bees 4_Jul 5_Mmod 6_Phoen 7_Newt 8_Spid ; Right: 2 Digits_MMods_Number of sides 2 Dig_Phoenix 2 Dig_Spider ; 1 Dig_TransReset_main :0_no 1_dblmand 2_Iter-res 3_both +5_warp ; 4 Dig_TransReset_Ch2-5:0_no 1_z-reset 2_Iter-res 3_both +5_warp ;IP2 Left: 5 Digits_Bailout Number for Channels 1 to 5 ; Right: Variab: 4 Digits_Mand/Jul(2 var) 2 Digits_Secant 4 Digits_Bees ;RP3 Left: 2 Digits_Newtonvariable 4 Digits_Colour1 ; Right: 5 Digits_Colour2 5 Digits_Colour3 ;IP3 Left: Main: 5 Digits_Warp-factor (fn1 is used) ; Right: 5 Digits_Colour4 6 Digits_Colour5 ;RP4 Left: Outside: 5 Digits_Warp-factor (fn2 is used) ; Right: Outside: 4 Dig+1 fractaldig_bord-out 4 Dig+1 fractaldig_bord-in ;IP4 Left: Inside1_Maxiter ; Right: Inside1_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn2 used) 4 Dig+1 fractaldig_border1 ;RP5 Left: Inside2_Maxiter ; Right: Inside2_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn3 used) 4 Dig+1 fractaldig_border2 ;IP5 Left: Inside3_Maxiter ; Right: Inside3_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn4 used) 4 Dig+1 fractaldig_border3 ; Altnat: Left: 1_Lake effect enabled (Inside3 disabled) ; Right: 2 Digit_Frequency 2 Digit_Waterlevel 2 Digit_Amplitude ; le=0 z=pixel da=real(p2) dd=trunc(da) da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=d>1 sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=d>1 sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=d>1 sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=dd==2 sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) ex0=d>4 da=da-d*10000 d=d-5*ex0 dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) tt=ex1+ex0+ex2+ex3+ex4 ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/100000) ba3=da-100000*ba2 ; d=imag(p3) sfac=trunc(d) da=(d-sfac)*100000000000 ba4=trunc(da/1000000) ba5=da-ba4*1000000 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; if (mi3==1) d=(ba-mi3)*1000000 fr=round((trunc(d/10000))*10) ;lake effect by S.Gallet d=d-fr*1000 lv=(trunc(d/100))/100 d=d-lv*10000 am=d/100 u=real(rotskew*pi/180) t=exp(-flip(u)) bo=1/real(magxmag) q=bo/0.75*imag(magxmag) dd=tan(imag(rotskew*pi/180)) da=2*q*t rs=2*bo*(dd+flip(1))*t zz=center+(-q-bo*dd-flip(bo))*t z=z-zz d=imag(conj(da)*z)/imag(conj(da)*rs) le=d<=lv if (le) dd=lv-d z=z+2*dd*(1+am*sin(fr*dd^0.2))*rs endif z=z+zz else da=(ba-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=d==3 fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 endif ; if (vb) if (d3) if (ab) z=z*le+pixel*(le==0) ;Spider c=p1 else z=z*le+pixel*(le==0) c=p1 ;newton endif elseif (ab) c=z ;Phoenix z=z*le+pixel*(le==0) else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) c=p1 ;Julia z=z*le+pixel*(le==0) else ;bees c=p1 z=z*le+pixel*(le==0) endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=z*le+pixel*(le==0) endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=z*le+pixel*(le==0) cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) z=z*z+c ;Spiderjul John Horner c=c*sp+z else z1=z^p-1 ;Quasinewton Puskas Istvan z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix Mike Wareman zold=z z=z1 else z2=fn1(z)+c ;Many_mods Linda Allison z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) z2=z*z ;Julia Puskas Istvan z=z2*z2+p6*z2+c-p0 else z1=fn1(z)-cb ;Bees Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel Puskas Istvan z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant Mike Wareman z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba }

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