April 2006 - Fractint - mailman.xmission.com

FOTD 18-04-06 (FOTD for 18-04-06 [NO RATING])
by Jim Muth 18 Apr '06

18 Apr '06

FOTD -- April 18, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's nameless and un-rated image is a scene in the fractal that results when some Z^(EPSILON) is subtracted from a slightly greater quantity of Z^(PI) and C is added. The parent fractal resembles the cubic Mandeloid, but with two valleys on the western side of the main bay rather than one. Today's scene is located in the northernmost of these two vallies. The decorative holes that are scattered through the image are not true holes. They will fill in with increased iterations. The image takes over 11 minutes to calculate on my machine, but this wait may be avoided by downloading the pre-rendered GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Morning clouds and chilly temperatures gave way to afternoon sun and mild weather here at Old Fractal Central on Monday. The cats were grateful for the pleasant conditions. I was grateful also, for getting the work done, that is. Unless something unexpected happens, the next FOTD will appear in 24 hours. Until then, take care, and if the universe is non- local, where then are we? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_18-04-06 { ; time=0:11:49.04--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.28931322520439120/+0.249927687451680\ 80/1.320913e+007/1/95/-3.13893517636665287e-008 params=1.1/3.1416/-0.9/2.7183/0/0 float=y maxiter=1100 inside=0 logmap=145 periodicity=10 colors=000TWmTYmT_mUamUcmVemVgmWimWkmXmmXomYqmYslZ\ ukZwjXwjWwkUwlTwmRwmQwnOwoNwoOupPspQqpRppSnpTlpUjp\ VipWgpXepYcpZbpYaqYarYarXasXasXatWauW_uT_sPYpIWj5T\ dAQ_FOVHLRJJMMH4PK5TN7WQ9aTBeWDkZGpaIrdKtgMvjOxlQz\ ePtcOmaNh_McYMZWCVXGTXJRXNPXQMXUKXXIX_GXcEXfBXj9Xm\ 7XqOXtXXw`ZsF_pL`lRaiXbebdbheZnfWtgSthPqcIiZBaU5bT\ 7cS8cR9dQAePBeOCfNDgMFgLGhKHiJIiIJjHKjGL6S77TF7UN7\ VV8Wb8Xj8Xq9Yn9Yl9Zj9Zh9_f9_d9`b9``A`YAaWAaUAbSAcQ\ AdOAeMAfNAgNAhNAiNAjNAkN9lN8mM7nK6oJ5pH5pG5pE5oD5o\ C6nD7mD8mD9lEAkEAkEBkECjFDjFEiFFhGGhGHgGIfHJfHKeHr\ t4lq7fo9`lBVjDPgFcfOaeN`eN_eMYeMXeLWeLUeKTeKSeJQeJ\ PeIOeIMeHLeHdwbau__sYYqVVoTTmQRkOOiLMgJ2ac7bYBcSGd\ Ma_AZ`BWaCUbDRcEPdFMeGau7XqATmCOiFdOuaRoZTjXVeUX`R\ _WPaRMcMlhSigRggQdgPbgO_fNYfMWfLTgKRhJOiIMjHokall_\ jmYgnXeoVbpT`qSYrQZsPctNhuLmvKrwHvxKzyPzzUzzZzzczz\ hzzmzzrzzvzzzzzzzzzzzzzzz } frm:MandelbrotMix4 {; 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, 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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Re: Fractal Stuff
by jackoftradez＠comcast.net 18 Apr '06

18 Apr '06

ZooM animation into Jim Muth's recently posted "fractal stuff" image, continuing on to Lee Skinner's minibrot, is now posted: 320x240, 2.4 meg: http://www.fractal-animation.net/vid/irrationale320.zip 640x480, 6.4 meg: http://www.fractal-animation.net/vid/irrationale640.zip .

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FOTD 16-04-06 (FOTD for 16-04-06 [NO RATING])
by Jim Muth 16 Apr '06

16 Apr '06

FOTD -- April 16, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's image exists in a valley of the fractal that results when 0.2 parts of Z^(-8.4) are combined with Z^(-1.3) and (1/C) is added. I gave it no name or rating, and very little comment. The included parameter file runs in 7-3/4 minutes, which is relatively fast. To make the viewing even faster, the completed image has been posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may be instantly downloaded. Threatening clouds and a few distant rumbles of thunder here at Old Fractal Central on Saturday afternoon did not spoil an other- wise near-perfect day for the fractal cats. But with plenty of work to catch up on, I had little time to enjoy the great weather. And I see we have been invited by a friend of fractal lady to an Easter something tomorrow, so I might not have a chance to post a FOTD on April 17th. But worry not. The next in the apparently endless string of fractals of varying quality will appear almost certainly by Tuesday, April 18. Until then, take care, and be right or left, whatever you think is right. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_16-04-06 { ; time=0:07:44.40--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+4.79395714972511700/+0.018595101941093\ 98/3.406539e+011/1/34.75/0.0258203078179 params=1/\ -1.3/0.2/-8.4/0/0 float=y maxiter=750 inside=0 logmap=163 periodicity=10 mathtolerance=0.05/1 colors=000ADNAGQAJTAMWAPZCSaEVdGYgI_jKcmQVpVMs`Dve\ 4yf5rf6khCeiIZkOSlUMnVFoV9raEtgIsmMrnQrpVqqZrrbsxf\ qsapoXojSnfNq_PzzcvmRzmBzwRZnfahfdbfgXfjRfmLfpFfs9\ fu4frD_oLUlTOj`IghCdp6mz0Yt6ZnBQmHMeMIgRHdTHbVH`XH\ ZZHX`HVbKl2Vc9eVFTQNHVU5V`8UcBTeESgHViKUkNTmQRoYRh\ eRamRVhb_cncZyg_u`_rU_oO`lH`iA`f4IUYEUaBTe7di4pl6h\ m7`m8UnAUnBUoCUoFUqIUsKUu9UtEUnIUhNUbRUYVUS_UMcUGg\ UBjUPm`bojp_fkKbg5_cCZaJZ`PZ_WZZbZXhZWoZVuZUtTVsNW\ rGXqAYp4ZrP3nR4jT5fV6cX7_Z8W`9SbAPdBLfCHhDDjEAkFFm\ HJoINpKRrLVsNZuObvQfxRjySitRioRijQheQh`PhWPgROgMOg\ HNgCNfEMfGMfHLfJLeKLeMKeNKePJdQJdSJdTIdVIdWIjPKoIM\ uBOz5Pu9QpDQlGQgKQcORZRRVVRQZRMaRP_VSZZVYaYWe`VhcU\ lfSpiRslQwnPzkOwhPufQrcRp`SmZTkWUhTUfRUcOUaLUZJUXS\ UT_UPg`LogHmfJkfKjhMhmNfrOevQczRazS`zUZzVXzWWzYUzZ\ Tz_SzZRzYRzXQzXQzWPzVOzUOzUNzTNzSMzRMzRSzfXzuWzrVz\ oUzlTziTzfSzcRz`QzYEzQAzP } frm:MandelbrotMix4 {; 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, 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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Re: fractal politricks
by jackoftradez＠comcast.net 15 Apr '06

15 Apr '06

Dave said: "Thereby proving a couple of things - leftists don't think, and doublespeak was invented by leftists! ;-)" Correct on both counts. So Dave is a Righty. Cool. But how can this be? In Hawaii ?!

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FOTD 15-04-06 (Riotous Colors [NO RATING])
by Jim Muth 15 Apr '06

15 Apr '06

FOTD -- April 15, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's visit to the Z^(2.1)+C Mandeloid as it appears 10 levels up the ladder is nothing but chaos and riotous colors, which in fact is what I named it. Such blatant gaudiness deserves no rating, and indeed the image has none. The scene is located in a chaotic area of a bud on the southwest shoreline of the main bay of the parent fractal, which is a some- what distorted and rotated Mandelbrot set. The rotation puts the bud on the northwest shoreline of the main bay. The 15-minute render time of the included parameter file may be avoided by downloading the pre-rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Morning clouds and sprinkles gave way to afternoon sun and warm temperatures in the 70's F, low 20's C. The cats' morning displeasure turned to afternoon happiness. By the time the day ended, they had enjoyed several trips to the holly thicket. My day was very busy, which has become the rule rather than the exception. The next FOTD will likely but not certainly appear right here in 24 hours. Until then, take care, and count your iterations. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Riotous_Colors { ; time=0:14:55.83--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.5235822350823086/+0.513556913055923/\ 1.91465e+008/1/-57.5/4.85735774e-006 params=2.1/0/\ 10/0 float=y maxiter=5000 inside=0 periodicity=10 colors=000NSCLS7JS2MT5OT7RUATUCVUFYVH_VKbWMdWPfWRe\ UTdSUcQVbOXaMY`LZaNYbOYcQYdRYeTYfUYgVXhXXiYXj_Xk`X\ kaXG01H35H68H8CHBFHDJHGMHJQHLTHOXHQ_GLUFGOEBJD6DC1\ 8F59H8AJCAMFBOJBQMCSQCVTDXXDZ_E`bEZaHYaJXaMW`OV`RU\ `TT_WS_YR__XQVaGQf6Lh7Ki8Kj8Kk9Kl9JmAJoBJpBJqCIrCI\ sDItDIuGKuIMuKOvMQvOSvQUwTWwVYwX_xZax`cxbduafrago`\ hl`ji`kf_lc_maZoZZpWZqTYrQYtNXuKXvIXwCMu7BsECnKCjQ\ DfWDbaEZgEVmFRsFNYa_CxlLyeUyZbySkyMjxMixMixMhxMhxM\ gwMgwMfwMfwMewMevMdvMdvMcvMcvMlmLueKsbJr_JpXJoVJmS\ IlPIkNIiKIhHIfEHeCHc9Hb6Ha4H`AI`FJ`KJ`QK`VL`_LO9KT\ HIXPH`WGdcFhkEkw6lrDmmJmiPndWn`aoWgoSnpNtpJzjIhdHR\ fM9ZHARDBK9CC5D51D84CB6BD9BGBAJE9LG9OI8RL7TN7WQ6ZS\ 5`U5YY7W`8TcARgBOjDMmEHuEKpFMlFOgFQcGSZGYi6UVGRGQO\ 1ZN5XN8WMBVMEULHTLKSKMQLNRLORMPSMQSNRTNSTOTUOTUPUU\ PVVQWVQXWRYWRZXS_XNo8S_X_GzWLuSQpPVkLZgIcbEhYBlUOc\ Q`WMyKMmOJaRHQVF5Z6STNQSH } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Re: fractal stuff
by jackoftradez＠comcast.net 14 Apr '06

14 Apr '06

With all this tawk of Jim Muth's recently posted "fractal stuff" image and the minibrots within it, I have been investigating it further and it seems that the 4 irrational number parameters, aside from their intrinsic significance, do not really effect things too much. Changing them slightly has little effect (at first anyway, remember the prime axiom of chaos theory). So I kept them as is and backed out to the parent fractal, which looks like a drunken distorted Mandelbrot and not really impressive at all. However, zooming in leads to some interesting FX. I am currently rendering a zoom sequence from the parent backed-out aways into the "stuff" image and continuing on to one of Lee's minibrots. Should be done soon and I will post it. It looks really cool as the images render s.l.o.w.l.y. and in progression over time on a rescued e-machine 400 in my living room as I pass the time watching old Sci-Fi viddies ... Stay cool. 2006 gonna be hot. Real hot. JoTz

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Left and Right
by Jim Muth 14 Apr '06

14 Apr '06

At 08:30 PM 4/12/06 -1000, David wrote: >Jim Muth wrote: > >> take care, and work for the right. > >Even if you're a leftist? ;-) For a leftist, the left *is* right! :-) JIm M.

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FOTD 14-04-06 (FOTD for 14-04-06 [NO RATING])
by Jim Muth 14 Apr '06

14 Apr '06

FOTD -- April 14, 2006 (No Rating) Fractal visionaries and enthusiasts: With today's image we leave the MandelbrotMix4 formula and switch to the MandelbrotBC2 formula. We check the Z^(2.1)+C fractal as it appears 10 levels up the logarithmic ladder. The inconsequen- tial scene we find there, which appears as today's FOTD, earns neither name nor rating. The render time of over 33 minutes is true on my 10-year-old machine. The parameter file will run faster on more modern units, at least on those that can actually run it. For good measure, the finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Continued perfect weather made for near perfect cats here at Old Fractal Central on Thursday. Too many things needing to be done made for a very busy day for me. Unless something goes wrong, the next FOTD will appear in 24 hours. Until then, take care, and be stoic. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_14-04-06 { ; time=0:33:13.43--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.52358223837315700/+0.513556912132709\ 00/2.322983e+012/1.0001/-127.5/0.014073960116520616 params=2.1/0/10/0 float=y maxiter=5000 inside=0 periodicity=10 mathtolerance=0.05/1 colors=000iU`WNKYRKZVL_ZL`bMbfMcjNdnNerOfuOgtPgsQg\ rQgqRgpSgoSgnTgnTgiVgdXg`YgW_gRagNbgIdgEehFfiFgjGh\ jGikHilHjlIkmIlnJmoJmoKnpKoqLpqLpnKqkJrhIseHtbGu_F\ vXEwUDxRCyPCydKVsR0rS6qTBqUHpVMoWSoXXnYbnZgmYelXdl\ WckVbkVajU_iTZiSYhRXhRWgQUfPTfOSeNReNQdMTcMVcMYbL_\ bLbaLdaLg`Ki`Kl_Kn_KpZLmZLjYMhYMeXNcXN`WOZWOWVOTVP\ RUPOWQMZQJcRHhREmRCrSBvTAzT9vU9rV8mV7hW6cW6ZX5UY4P\ Y3KZ3F_2A_15`01`04b16c28d3Ae4Cf5Eh6Gi7Jj7Lk8Nl9PnA\ RoBTpCVqDXrDWpFVoGVnIUmJTlLTkMSjORiPRhQPgONfNMeMKd\ LJcKHbJFaIE`HC_GBZF9YE7XD6WC4VB3VADR9NO8dCXu1tq2rn\ 2pk2nh2le2jb2h_2fX2dT2bQ2`N2ZK2XH2VE2TB2R82QB5SE8T\ HBUKEVNHXPKYSNZVQ_YTa`WbbZceadhdfkggnjhpmimiekfbic\ _g`WeXTcUQ`RMZOJXKGVHCTE9RB6SEITHTUKdVNoVPzSMtPKoM\ Ij00I11J22K33L44M55N98OCBPFDQIGRLJSOLUROZUQcXTh_Wm\ bYre`zhhzkozswzzzzvzzqzzqzzqbjq`jqZjqXkqhzqYzqRlqP\ lqNlqLmqJmqHmqGmoKimNfkQc } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 13-04-06 (FOTD for 13-04-06 [NO RATING])
by Jim Muth 13 Apr '06

13 Apr '06

FOTD -- April 13, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's image has no midget at the center. In fact, I doubt that it has any midgets at all hidden in its depths. But it is still a striking enough picture to rate the honor of being declared a FOTD. I gave the picture neither name nor rating. If I had named it, the name would probably be connected to leaves or butterflies. A rating would have been something like a 6 or 7. A curious feature of the image is its near, but not perfect, symmetry around the Y-axis. For parameters I used the same four irrational numbers. I switched the signs of 1.4142 and 1.618 to add a bit of interest. The render time of 3-1/2 minutes is fast enough so that a down- load of the completed image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> is hardly necessary. Increased clouds made little difference here at Old Fractal Central on Wednesday. The temperature remained warm and the fractal cats enjoyed a comfortable afternoon in the yard. My day was quite busy. Despite the stuff that still needs to be done, I expect another FOTD to appear in 24 hours. Until then, take care, and work for the right. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_13-04-06 { ; time=0:03:26.58--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.61177277157788050/+0.000503489077490\ 96/137118.8/1/-172.5/3.02000410790093099e-010 params=-1.4142/3.1416/1.618/2.7183/0/0 float=y maxiter=2000 inside=255 periodicity=10 colors=000NXfeX``cbXjdTpf6UQLbWEQL7DA6ev4Vg3LT1AEs\ ZkeQ_SHOE8CU6UK4KA2ACg88T54E2KhUDUK6FAfYFaaTPPJCC9\ fw1LU0IXH9G8PhhIXXCMM6BBYGhU5IF29XEo1OdpAkmzzK_9wz\ 66C3YzPMeGB18pDKccDzm6KF4TLCYrzME9B74hYzXLjMEVB7Fj\ hcVUQFFD4nV3aN2PF1C7k0uO0T819506203IV0DN09F0470BVw\ 5FUyQniJaVDPF6CVMoNjIBN9h8YM4HorGQR8xbHUJ8hXaXojMY\ VBHFZmLNXEBG75xx_DBlngWYTGHEw5iboPTbIJQC9D6goKMQAm\ ozPQVBUYQL2JF1DA1650APD7I95C6263wVecKSKAEdwEKU7Kh6\ CQn9Ja6DP36CXgtMTaBEJu2VT1F1ZZ0QQ0HH08877i33N`v3Ob\ 2CJ1ZH6H83wMpcEZK7HEs7sfU`SKIEAzYk7iu4Ua2FJafVSWNJ\ LF9A7fqOWcILRCAD6TQ22sy1ei1SV0EF2Lf1ALg2iM1Nn`EaRA\ PI7C93_zRRjKIVD9F6txcehUSUKEFAt14a02J01MDBnUlaM_PF\ OC7CzNMT4WJ2L91ArKF_DAI65uXNSNiZHTH8EL655KQ3FJ2AD1\ 56aBQJ5DJ4asPZLXoEMY7BHroidbYRQNDDBaRkSK_JDO96Ce0d\ Pb0CJ0`TWOJLC9A2Ph1IX1CM06Bg3JX2EM19B04dFpUBbK7QA3\ Dul0YTCGkEEoBCs8Bw5FnIJeV } frm:MandelbrotMix4 {; 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, 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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FOTD 12-04-06 (Going too Far [NO RATING])
by Jim Muth 12 Apr '06

12 Apr '06

FOTD -- April 12, 2006 (No Rating) Fractal visionaries and enthusiasts: In today's image we stick with the fractal created by the four well-known irrational numbers. To find today's scene I checked deep into the valley separating the two lobes of the northern bud of the parent. I gave the image no rating, but I did give it a name. I named it "Going too Far". The name implies that I feel I went too far in coloring the image. The colors are too plentiful and too brilliant even for my immodest taste. I achieved all the brilliancy by rendering the scene with the outside set to 'tdis' and the inside set to 'bof61'. The render time of 35-1/2 minutes may be rather slow for those whose time is valuable, so for the benefit of these busy ones and also for the benefit of those with handicapped computers, the completed image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The springlike weather here at Old Fractal Central on Tuesday was just what the pair of fractal cats needed. They were perfect angels all day. A few less things to do would have been what I needed to make me a perfect angel. The next FOTD will almost certainly appear on schedule in 24 hours. Until then, take care, and bide your time. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Going_too_Far { ; time=0:35:26.10--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.82489696643760400/+0.971735788532226\ 40/4.210898e+010/1/-27.5/0 params=1.4142/3.1416/\ -1.618/2.7183/0/0 float=y maxiter=3000 inside=bof61 outside=tdis periodicity=10 colors=000`K7dI8gG9jF9nDAqCAtABw9BuCFtFIsILrLOqORp\ RUoUXnX_m_blbekdhmbgnafo`ep_dzcczacz_bzYazW`zU_zSZ\ vQZrOWmNThLQcKNZJKUHHUGEUFBUD8mC5lB3jA6i98h9Ag8Cf7\ Ed7Gc6I000a5N`4PZ4RY3T000W2XV1ZU1`V3bW5dX7fY8gX9aX\ AWXBQXCKXCEVBCUABS89Q77P66O99NBCMDFLFHKHKJJNILPHOS\ GQVFSYEU_DWbCYeC_gTOShDC29X6Peyuyutwrsvostlrshrqeq\ pbpo_pmWolTojQniNnhNZbNKYN5TdAYuFatJcsMdsPfrSgrViq\ Yjpakpdmognojpnmqnproqppqoqqnqrmdrlsrkhrjtsianhvsg\ difsrebcdnrcVebiraZe`dq_bgZ_qYYgXWmVUiTSfSQbQO_OMW\ NKSLJPJHLIFIGDEEBAD97B739608A2BD3EG5HJ6KM7NQ9QTATW\ CWZDZaEaeJZhOXkTUnYSqbPtgNwlKzpIwnJulKrjKpiLmgM000\ hdNfbOc`OaZPZYQXWQUURSTRKYWCa`4ed5c`6aX7_T8PP9WLAU\ HBSDCQ9CP6DT9EWBE_DFbFGfIGiKHmMHpOKnMMmKPlIRjGUiEW\ hCZfA`e8cd6eb4ha2j`1eX7aTDYPJTLOPHULD_HAdFDfEFgDIi\ CKjANk9Pm8Sn7Uo9SkBQhDOdFMaGKYIIVKGRMEONCLSKIXSG`Z\ EefBjn9nu7rrIvpSynanmcdle } frm:MandelbrotMix4 {; 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, 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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