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FOTD 28-11-11 (Flight of Numbers [7])
by Jim Muth 28 Nov '11

28 Nov '11

FOTD -- November 28, 2011 (Rating 7) Fractal visionaries and enthusiasts: Due to the seasonal rush here at Fractal Central, today's discussion will be a brief one. Today's image is the 4th and final scene in the same parent fractal. It is located on the western shore line of the main bay of the parent, just north of the pseudo-East Valley. I rated the image at a 7, a good part of which is due to the coloring. When I thought of the name "Flight of Numbers" I was thinking of how the entire image is made of numbers. Then my thoughts turned to how the quantum realm is little more than the math that describes it. And finally, since an object must share the qualities of its building blocks, I considered how the 'real' world might very well be made of numbers also. The listed calculation time of 2-1/2 minutes is a guestimate of the time the image would take to finish on the 2000mhz machine. It actually took just under 10 minutes on the 200mhz machine. (BTW, the 2000mhz unit still does not work, but it is coming up with some rather strange ever-changing messages before it shuts down. I'll send some of them in a day or two, but I suspect that the 'C' drive disk might be scrambled in addition to the other problems.) Today's image has already been calculated and is posted on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition version is at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Yesterday brought a mix of sun and clouds, and a temperature of 55F 13C to Fractal Central. Today brought more clouds than sun and an even milder temperature of 64F 18C. The fractal cats took things as they happened. The only excitement took place this morning, when a tough beat-up old tomcat passed through the back yard, spraying as he went. Nicholas wanted to go out and show the cat who's boss; Cassie found the tough old cat interesting. FL, who is just getting into the holiday mode, spent yesterday preparing for the events. I spent the day counting the days until the holidays are over. The next FOTD will almost certainly be posted in 24 hours. Until then, take care, and if you're a skeptic and you see a ghost, rush to a psych to find what caused you to have the hallucination. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Flight_of_Numbers { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.4168172076182/+0.0189540864683/5e+09\ /1/-62.5/0 params=1/2/-2/-0.015/0/0/0/0 float=y maxiter=1000 inside=0 logmap=204 periodicity=6 colors=000954B65D76F87H98JA9LBANCBPECRGDTIEVKFWMGY\ OH_QI`TJbWLd_MebNlfOsdPynQzzLzzzzzzWc7P`3Qa4Qa4Ra4\ Ra4Sa4Sa4Ta4Ta5Ua5Ua5Va5Va5Wa5Wa5Wa5UZ4SW4QT4OQ4MO\ 4KL3IK3GJ3EI3DH3GI4JJ5MK6PN7SR8VU9YXA`_BcbCffDiiEl\ lFooGqrGooLnlQmiUgkdamoWnzUqz`vzfvzlznrzl`zifzzmzz\ zzzzMacO`XQ_QSZVUY_WXcYXhwqUp1ZmBbmKgmTkmapcjtcsZU\ iIK`7FNAALI7KQDJTKQ`MScOUfRViTXlVZnX_pVWqTSrROzPKz\ MGzJCzG8zE5zPKfZYYhlQrzNmxKivHetEasBYq8Uo5Qm3MlIW`\ XePknEfeGaYHXQJSHKN9MJ1NR6KZAHfEFnICvMAdPOOSa7Uo7W\ i7Xd7YZ7_U7`O7aJ7bETrWPiPL`IHSBEK5DJ8DIADHCDGFDFHD\ FJPIE_KAjM5uO1nQ3gS5`U7UW9NYBG_D9`ED_MH_Umiioklpmo\ rortquurxpqskpofpkaofXnbSnZPi`NeaLabIYdGUeEQfBMh9I\ i7Ej5Ak79g88c98_B7WC7TD6PF6LG5HH5EP8MXBTcD_kGfsJmz\ LtxPrvTptWnr_lqcjkcmfcoacqWcsRmuMmwHmyxnVwoUvoUupU\ tpUsqUrqUqrUprUosUnsUmtUltUkzUkzUlzWlzXlzZlz_lz`mz\ bmzcmzdmzfmzgnzinzjnzknzm } 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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dream world
by Sebastien helie 27 Nov '11

27 Nov '11

Last night i dream in a fractal univers. The result was better than all i could see up to now. calm and limitless, the complexe image get simplify thru the dream until i woke up with a simple pentagone in memory. It's not the first time it happen. i wonder. START PARAMETER FILE================== infusion { ; keyboard switch reset=2000 type=formula formulafile=2012frm.frm formulaname=Jin corners=-0.8575629/1.558456/-0.8993162/0.9126917 params=0/0 potential=256/200/4 colors=CCC000iWL<71>MAjMAkMAk<3>K8mn`G<14>ZGkYFmXDo<3>S7xlbE<8>Lo9Hp8Er8\ <3>1x5naE<23>RgCQgCPgC<3>KiBoaE<60>wGHwFHwFH<3>xDIoaE<15>oaE<3>oaEn`FkcG\ <3>YrMUvOQzQ<5>qV_<2>qV_ } frm:Jin{; a=imag(p1) z=pixel: x=sqr(z) y=sin(z) b=tan(z) z=z-x/y^sin(1/z*a+b) |z|<4 } END PARAMETER FILE=============================

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Loopy Loops
by Mike Frazier 27 Nov '11

27 Nov '11

This is a parallel resistor formula fractal that uses sin and cos instead of powers of z. This fractal has lots of curious things going on. There are these white butterfly objects that increase in complexity from left to right. There are spirals everywhere but each one is very different (except for the x axis symmetry). There is a hazy white area across the center that is too complex to see. Here is a link to an image: http://dl.dropbox.com/u/33642054/image/loopy_loops_1200_5.jpg The parameter file is: Loopy_Loops { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20111127_0903 passes=1 float=y center-mag=-7.449999999999999/-0.03749999999999987\ /0.666666675/1/0/0 params=-1/1/0/0/-2/0/2/0/0/0 maxiter=4000 inside=0 periodicity=6 colors=000zzzpzzezzWzzLzzBzz0zz0tt0mm0ff0__0TT0MM0\ FF0880BE0FL0JS0NZ0Re0Vl0Zs0bz6dzDgzKizRlzYozdqzktz\ rwzlrzelzZgzSazLWzERz7Lz0Fy0Es0Cl0Be09Z07T06M04F02\ 812E22L32S41Z51e61l71s80zE6zKDzQKzWRzaYzgdzmkzsrzp\ lzmezjZzfSycLy`EyY7yU0xR0rO0kL0eH0ZE0SB0M80F408A0E\ G0LM0RS0YY0dc0ji0qp0xq6xrDxsKxtRxuYxvdxwkxxryxlwxe\ uxZsxSqxLoxEmx7kw0hp0ch0Ya0TU0NN0HF0C806806E08L0AR\ 0CY0Ec0Gj0Ip0Kw0Mw7RwFWxN`xVexbjyjoyrtyrtylmyefxZ_\ xSTxLMwEFw78v00o00h00`00U00N00F00800800E20K50R70XA\ 0bC0iF0oH0vK0vP7wUFw_NxdVxibyojytrytryslxqexoZwmSw\ kLviEvg7ue0n`0gW0`R0TL0MG0FB0860860DC0JJ0OP0UW0Za0\ dh0in0ou0pu7qvFsvNtwVuxbwxjxyrxyruylqxemxZiwSevLav\ EYu7Ut0Rm0Nf0J_0FT0CM08F04804804E05K05Q06W06a07g07\ m08s0Es7LtFSuNZvVewblxjsyrsyrlymexhZwbSvYLvTEuN7tI\ 0sC0lB0e90Z80S60L50E30720720D50J90PD0VH0`L0fP0lT0r\ X7s_FtcNugVvkbwnjxrryvryv } frm:F_20111127_0903 { ; 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*cos(z^3)+c1)+1/(d*sin(z)+c2)), |z|<1000 } -- Mike Frazier www.fracton.org

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<Brian>Your colors add a lot to a great fractal!
by Hal Lane 25 Nov '11

25 Nov '11

Brian, Your colors add a lot to your great fractal! http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_91f.png - Hal Lane ######################## # hallane(a)earthlink.net ########################

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FOTD 25-11-11 (The Old Shell Game [Rating 8])
by Jim Muth 25 Nov '11

25 Nov '11

FOTD -- November 25, 2011 (Rating 8) Fractal visionaries and enthusiasts: Today's image lies in the same parent fractal as yesterday's, but instead of checking the chaotic arms, I checked a blunt valley of the north shore line of the main bay, where I found today's scene. I named the image "The Old Shell Game". Something in the scene reminded me of the three-shell game used in the movies by con- artists to cheat people out of their money. BTW, I have never seen this particular scam in real life, even at carnivals where one would expect be cheated. In this high technology era, there are far more creative ways to relieve people of their money. I feel the rating of an 8 is justified. This is the first time I have run into such a pattern surrounding a minibrot. The calculation time of 2-1/2 minutes borders on slowness. But the uniqueness of the image makes the result worth the short wait. To view the image without the need to calculate it, check in at the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> A high-definition version plus other goodies may be accessed at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site may be found at: <http://www.Nahee.com/FOTD/> Skies filled with only the finest angel-hair cirrus graced the Fractal Central area again today, with an unusually pleasant temperature of 54F 12C. The fractal cats enjoy such conditions, and spent an unusually long time in the sun that comes through the south windows quite strongly at this time of year, when the sun is near its lowest angle. The humans spent most of the day recovering from yesterday's Thanksgiving feast. The next FOTD will be posted in 24 hours. Until then, take care, and only a nut would spend as much time searching for fractals as I do. But I can't help it. The silly things just keep turning up. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Old_Shell_Game { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=+0.791696406564/+0.244745390487/3701652\ /1/-68.75/0 params=1/2/-2/-0.015/0/0/0/0 float=y maxiter=1600 inside=0 logmap=137 periodicity=6 colors=000eVZdWZcXYcXYbYYaZXaZX`_X_`W_`WZaVYbVYbVX\ cUWdUWdUXcVYbVYaVZ`W_`W__W`ZW`YXaXXbXXbWXcVYdUYeUZ\ fT_gS`hRaiQbjQckPdlQemTfnUgoVjpXiqYjqZiqYhpXgoWfnV\ emUclSajR_iQYgOXeNVdMTbKRaJP_INYGLXFJVEHTCGSBEQACP\ 8AN78L86KA4IC2HE1JG4LI7MKAOMDPOGRQISSLTUOUWRVYUV__\ YaTVcWReYOf`LfbOb_QaXS_UUWRWWOYPL_OIaJFZMHXKJUILSG\ NQEPNARL8TI7VG7XE7ZB6`96b65d45f25h9CiFIiLPjRVjYakc\ gkinporuqzzmozedvZVrRKmKAmLEmLIhLLcMPUMSKMWIMZINbI\ NeIQiIUlIZpIcsIhwImzImy4hxIcwD`u8Zs9`qA_oA_nBZmBYl\ CYkCXjDWiEVhEVgFUfFTeGTdGScPScYRbfRboT`mU_kVZiWYgX\ XeZWc_Va`U_aTYbSWdRUeQSfPQzOOzNMzMLzRKzWJz`IzeHzjH\ zcMzYQmRUfLZdEbb8f`2jhJgpZdxnavmbtmzrlzqlzokzmkmlk\ mjjmhjmfimeimchmahm`hm_emZbmZ_mYczYczXczXczWczVhzV\ hzUhzUhzThzThzVm`WmaXmaZmb_mcmzcmzdmzdmzemzfmzfmzg\ mzgmzdmzemzbmz_mzYmz8mzBmzDzzGzzIzzKzzNzzPzzSzzUzz\ WzzZzz`zzszzbzzMzz5zzFzzH } 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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FOTD for 11/24 and 11/25
by Brian Prentice 25 Nov '11

25 Nov '11

Here is another detail from Jim's recent fractal: http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_91f.png Notice the irregular patterns surrounding the five prominent minibrots. Brian Prentice

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FOTD for 11/24 and 11/25
by Brian Prentice 25 Nov '11

25 Nov '11

Here is another detail from Jim's recent fractal: inuxenvy.com/bprentice/Fractals/Set 16/BP_16_91f.png Notice the irregular patterns surrounding the five prominent minibrots. Brian Prentice

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pretty sound
by Sebastien helie 25 Nov '11

25 Nov '11

I do not know what to add, to this one. The week had been low, and sleepy i may try to do a musical equivalent to this frame sometime. START PARAMETER FILE================================== soundof { ; silence reset=2000 type=formula formulafile=2012frm.frm formulaname=zoup corners=-3.929813/4.230198/-14.92978/-8.809787 potential=256/200/4 cyclerange=1/15 colors=W0G<11>Wd5Wh4Wk3<2>Wv1Wz0Uw3<5>JbOIZSGWzETY<3>7Fk5Bo48r24v00z<11>\ ddzhhzkkz<3>zzz<31>zzz<4>zzz<11>MMMIIIFFF<3>000<12>000<4>000<11>dL0hM0kO\ 0<3>yV0<13>zW0zW0zW0<2>zW0zX0zZ0<9>zo0zq0zs0<2>zx0zz0zz0<11>zz0zz0zz0<3>\ zz0<11>zMdzIhzFk<3>z0z<10>zJqzLpzMo<2>zSmzTlzWk<10>zCtzBuz9v<3>z2y000 } frm:zoup{;primary tan sin sin z=pixel: x=real(z*0.66) y=imag(z*0.66) a=1 b=x/y c=x*y z=(x+tan(y)/(a)/sin(b)/sin(c)) } END PARAMETER FILE==========================

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FOTD 24-11-11 (A Blue Streak [7])
by Jim Muth 24 Nov '11

24 Nov '11

FOTD -- November 24, 2011 (Rating 7) Fractal visionaries and enthusiasts: Today's image was created by combining the standard Z^(2) with 2 negative parts of an unlikely Z^(-0.015) before adding (1/C) on each iteration. The parent fractal is an open bay with two areas of chaos shooting out a good distance toward the northeast before finally disintegrating into a series of disconnected zigzag filaments. These chaotic filaments are filled with mini- brots of all sizes if not all shapes. Today's zigzag image is located on a filament in the southern chaotic area. The main bay of the parent reminds me of a bee with stubby wings that are not quite large enough for flight. This bay appears to hold some unique patterns along its fringes, so I'll be doing exploration there in the days to come. Expect more surprises in the near future, perhaps even tomorrow. The name "A Blue Streak" was inspired by the deep blue back- ground criss-crossed by lightning-like streaks. The rating of a 7 is close to FOTD normal. If I had had more time to work on the rather pale colors toward the center, I might have rated the image at a 7-1/2. The calculation time of 1-1/3 minutes is brief enough to waste little time. The completed image is posted as always on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition version is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site, with images and discussions dating back to April 1997, may be accessed at: <http://www.Nahee.com/FOTD/> Brilliant sun reigned supreme here at Fractal Central today, which made the day a pleasant one for both cats and humans. The temperature of 48F +9C, was above normal for late November but brought few comments. The fractal cats were a bit rambunctious in the afternoon when a minor disagreement broke out over who would curl up on the scratching post, but the spat was soon settled. Cassie got the scratching post; Nicholas got a hit on the head. We humans survived the Thanksgiving feast with no problems other than trying to think of which gift from above to be thankful for, but with the big holidays yet to come, it is far too early to claim we have made it through another holiday season. The next FOTD will be posted in 24 hours. Until then, take care, and (IMO) an electron can be in many places at the same time because the apparently discrete electrons are actually manifestations of a universal electron field, condensed from the field by a conscious observation. All electrons are therefore in effect the same electron. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Blue_Streak { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+4.942070856170885/+1.107807660965734/\ 2.65258e+009/1/172.5/0 params=1/2/-2/-0.015/0/0/0/0 maxiter=900 inside=0 logmap=130 periodicity=6 colors=00000000000000000100521942D73HA4MD5RJ6ZO8eZ\ AniSxsexguWes_cqcaog_mkYkzWnzUqz`vzfvzlznrzl`zifzz\ mzzzzzzMacO`XQ_QSZVUY_WXcYXhwqUp1ZmBbmKgmTkmapcjtc\ sZUiIK`7FNAALI7KQDJTKQ`MScOUfRViTXlVZnX_pVWqTSrROz\ PKzMGzJCzG8zE5zPKfZYYhlQrzNmxKivHetEasBYq8Uo5Qm3Ml\ IW`XePknEfeGaYHXQJSHKN9MJ1NR6KZAHfEFnICvMAdPOOSa7U\ o7Wi7Xd7YZ7_U7`O7aJ7bETrWPiPL`IHSBEK5DJ8DIADHCDGFD\ FHDFJPIE_KAjM5uO1nQ3gS5`U7UW9NYBG_D9`ED_MH_Umiiokl\ pmorortquurxpqskpofpkaofXnbSnZPi`NeaLabIYdGUeEQfBM\ h9Ii7Ej5Ak79g88c98_B7WC7TD6PF6LG5HH5EP8MXBTcD_kGfs\ JmzLtxPrvTptWnr_lqbjkYmfUoaPqWLsRGuMCwH8yxnVwoUvoU\ upUtpUsqUrqUqrUprUosUnsUmtUltUkuUkuUlqWlmXljZlf_lc\ `mcbmccmcdmcfmcgncincjnckncmncnncokcmhckfciccg`ceZ\ ccWcaTc_ReZSf_Sg`ShaSiaTjbTjcTkdTldUmeUnfUngmogmph\ mqimrjmrjmqimpimohmnhmmgmlgzzfzzfzzezzezzdzzdzzczz\ czzbzzbzz`zzazz_zztzzlzze } 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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FOTD 23-11-11 (Overlapping Minibrots [Rating ?])
by Jim Muth 23 Nov '11

23 Nov '11

FOTD -- November 23, 2011 (Rating ?) Fractal visionaries and enthusiasts: Today's image shows two overlapping minibrots. Actually, they can not properly be called minibrots, since they are larger than the Mandelbrot set itself. But whatever one might call them, (Mandeloids would be more correct.), they are two of the most unusual fractal 'objects' I have yet stumbled upon. The generating expression is quite simple. It combines 0.4 negative parts of (1/Z) with 0.4 positive parts of Z^(2) before adding (1/C). The resulting fractal is little more than an oversized field of chaos, with today's curious scene lurking in the center, needing special coloring to make it fully visible. In some fractals, minibrots appear to be merging. When they do, it is always the same parts of the minibrots that join. Today's image however makes no sense at all. The mandeloids are not merging; they overlap in quite a curious way. In the areas where the top Mandeloid lies over the underlying one, it is skeletal, a ghost that lets the one under it show through. In other areas it is solid. The brownish bits and pieces in the foreground are arranged with no symmetry at all. The brilliant blue Mandeloids in the back- ground are almost but not quite symmetrical with respect to the X-axis, which with the image rotated 90 degrees, runs vertically through the center of the frame. I would not speculate which if any parts of the scene are actually critical. I declined to give the image a rating, since I have nothing previous to compare it to. The name "Overlapping Minibrots" explains itself once the image is seen. The calculation time of 1-1/2 minutes assures that no hurried fractalist will feel the pangs of impatience. View the finished image on the official FOTD web site without the bother of calculating it. The web site may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition version is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original, now classic, FOTD web site can be found at: <http://www.Nahee.com/FOTD/> Yesterday's foul weather continued into the morning here at Fractal Central. The fractal cats were too interested in laying claims to the new chair to be concerned with the occasional rain and relatively mild temperature of 50F 10C. FL and I had a day of preparing for the traditional Thanksgiving feast tomorrow. I would just as well do away with feasts, but what the heck. We have to do something to occasionally break the everyday routine. Unless the Thanksgiving feast gets totally out of control, the next FOTD will be posted in 24 hours. If control is lost, the next fractal could be delayed a short time. Until whenever, take care, and I wonder who is paying for those supposedly historical but actually Christian doctrine shows that appear so frequently on the so-called 'science' and 'history' channels. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= OverlapingMinbrots { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=2.13391/0/0.2282051/1/90/0 params=-0.4/-1/0.4/2/0/0/0/0 float=y maxiter=4200 inside=0 logmap=9 symmetry=none periodicity=6 colors=000HBAHBAHAAHAAHAAHAAH9AH9AM9AM9AM8AM8AL8AL\ 8AL7AL7aL7aL7aL6bL6bL6bL6cL5cL5cL5dL5dL4dL4eL4eL4e\ L3fL3fL3fL3gL2gL2gL2hL2hK1iL2hL2hL3gM3gM3fM4fM4fN4\ eN5eN5dN5dO6dO6cO7cP7bP7bP8bP8aQ8aQ9`Q9`Q9`RA_RA_R\ AZRLIRLIRLIQLIQLIQLIQLIQLIQLIQLIQLIPKJQLIQLIQLIQLU\ QMURMURMURMURMURNUSNUSNUSNUSOUSOUSOUTOUTOUTPUTPcTP\ cUPcUQcUQcUQcUQcVQcVRmVRmVRmVRmVSmWSmWSmWSmWSzWTzX\ TzXTzXTzXUzXUzYUzYUzYUzYVzYVzYVzZVzZWzZWzYBzXBzXBz\ XAzWAzWAzVAzVAzVAzUAzUAzTAzTAzTAzSAzSAzRArR9rR9rQ9\ rQ9rP9rP9rP9rO9rO9rN9rN9rN9rM9rM9rL9rLUrLUrKUrKUrJ\ UrJUrJUrIUrIUrHUrHUrHUrGUrGUrFUsGUrGmrGmqGmqGmqGmp\ GmzGmzHmzHmzHmzHmzHmzHmzHmzXmzXmzWmzWmzVmzVmzVmzUm\ zUmzTmzTzzSzzSzzSzzRzzRzzQzzQzzUzzUzzUzzUzzUzzUzzU\ zzUzzczzczzczzczzczzczzczzczzmzzmzzmzzmzzmzzmzzmzz\ mzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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