March 2009 - Fractint - mailman.xmission.com

experimental fotd feed
by Richard 17 Jun '10

17 Jun '10

<http://www.xmission.com/~legalize/fractals/fotd/test/index.html> Yes, there are gaps. xfractint doesn't always succeed in rendering. Comments? -- "The Direct3D Graphics Pipeline" -- DirectX 9 draft available for download <http://www.xmission.com/~legalize/book/download/index.html> Legalize Adulthood! <http://blogs.xmission.com/legalize/>

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Re: [Fractint] Diode
by JackOfTradeZ＠comcast.net 16 Jul '09

16 Jul '09

Brings back memories - I'm an electronix tinkerer from way back, nothing recent though, just computers etc. "" Why attempt this ; because a better , more interesting insight might be obtained . Has anyone on this list delved into this ?"" If anyone can code the diode equation into something the fractint formula parser can understand, and make a "diode" fractal, and it loox cool enuf, I will try to animate it. It seems that many natural phenomenon, (like chemistry, my profession), can be modelled to some extent with fractals, often leading to interesting and unexpected results. stay amazed!

4 8

Fractals and Quantum Dynamics
by Lee H. Skinner 01 Apr '09

01 Apr '09

A fascinating article in New Scientist talks about resolving Quantum Theory with fractals is at http://is.gd/pFiD Lee Skinner

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FOTD 01-04-09 (Textured Textures [7.5])
by Jim Muth 31 Mar '09

31 Mar '09

FOTD -- April 01, 2009 (Rating 7.5) Fractal visionaries and enthusiasts: Take away the texture and today's image is just another scene not very deep in East Valley of some Mini-Mandelbrot set. But today's image has texture -- this is why I named it "Textured Textures" -- and the textures make the image worthy of being rated a 7-1/2 and named FOTD for April 1 -- no fooling! The parent fractal was created by mixing 100 parts of Z^(-100) with plain Z and adding plain C. This parent is nothing more than a large circle with cogs around its edge and a small minibrot where the east side of the circle meets the X-axis. Today's scene is located on the south side of the East Valley of a tiny minibrot on the main stem of the small minibrot on the X-axis. The calculation time of 7-1/2 minutes is a little slower than average, but not slow enough for severe impatience to develop. And do not stop the calculation at the first pass. The main effect of the image does not become apparent until the final pass has finished. The image is or soon will be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Lots of sun and a temperature of 61F 16C kept the fractal cats of Fractal Central content on Tuesday. A reduction in the work kept me content. The appearance of daffodils, forsythia and the first spring growth on the fractal roses kept FL happy. Unless the world ends first, the next FOTD will be posted in 24 hours. Until the world turns 360 degrees, take care, and think about solving the measurement problem. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Textured_Textures { ; time=0:07:28.91-SF5 on P4-2000 reset=1960 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=-0.042314218591227/-0.0000021689096984/\ 1.77436e+010/1/-146.5/0 params=1/1/100/-100/0/0/0/0 maxiter=3750 inside=0 logmap=383 periodicity=10 colors=000zz2zz2zx2xu2vr2so2rm2oj2mg2jd2hb2e_2dX2a\ U2_S2XP2VM2SJ2QH2NE2KB2J92H83H85H86H68H68H69H6BH6D\ H5EG5GG5HG5HN5JG3KG3MG3NG3PQ3QG2QG2SG2UG2VX2XG1YG1\ _G1aE1aX1bE0dE0eE0gE0hX0eE0jE0lE0mE0oX0bE0rE0sE0sE\ 0uX0XD0xD0zD0zD0zU0sU0rD0zD0zD0zE0zG0zH0zH0zJ0zK1z\ M2zN3zP5zP5zQ6zS8zU9zVBzVBzXDvYEu_GraHpbJobJmdKmeM\ lgNlhPjhPhjQhlSgmUgoVepXepXdrYbs_buaavbavb_xdYzeYz\ gXzhXzjVzjVzlUzmSzoSzpQzpQzrPzsNzuNzzMzzMzzKzzKzxJ\ znJzzHzzHzsHzeHzoGzmGzlGzjGzhEz_EzdEzbDzaDzNDzYDsV\ BoUBoSBzQBlN9dM9dK9XJ9XH8XE8PD8lX6dH6lH6H56d35H25X\ 15005N03003N03002002001001001000000QH0UJ0YM0bN0gQ0\ gQ0eS0eS1eS2eU3dU5dV6dV8bV9bXBbXDbXEaYGaYHa_Ha_J__\ K_aM_aNYaPYbQYbSYbUXdVXdXXeYVe_VeaVgbVgdUgeUhgUhhS\ jjSjlSjmSloQlpQlrQmsPmuPmvPovPoxNpzNpzNpzNrzMrzMsz\ MuzKuzKxzKxzKxzJzzJzzJzzJzzJzzJzzJzzHzzHzzHzzHzzHz\ zHzzHzzHzzHzzHzzHzzHzzHzz } 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 31-03-09 (Pentagram Pannikin [6])
by Jim Muth 30 Mar '09

30 Mar '09

FOTD -- March 31, 2009 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a harmless scene in the Z^5+C Mandeloid, which of course is its parent fractal. Z^5 is about as high as one can go and still expect variety. Beyond this point a boring flowery sameness creeps in, which continues, I suppose, all the way to infinity. Today's image clearly shows the progression of the series 5,25,125... as the four-lobed minibrot is approached. The image is located on the shore line of the northeast lobe of its parent. I named the image "Pentagram Pannikin" for reasons known only to myself. I think a pannikin is a small cup, though I would never bet anything on it. The rating of a 6 could be a bit liberal. After all, it's only a quintic minibrot. But to avoid bringing politics into fractals, let's call a rating of 6 a consensus. The calculation time of just over 2 minutes makes calculation a pleasure. Those who wish to avoid being overwhelmed by pleasure may view the completed image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> There is no formula included in the parameter file because the image uses the type=manzpower formula hard-coded into Fractint. Too many clouds, too little sun and a temperature of only 46F 8C kept the fractal cats on the sullen side here at Fractal Central on Monday, while too much work and too little time kept me sullen. But in the end the fractals prevailed and today's image appeared almost from nowhere. With any luck, the same thing will happen again in 24 hours. Until then, take care, and beware of the cornflicker jumping caterpillar. It could devastate the corn crop. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Pentagram_Pannikin { ; time=0:02:09.23-SF5 on P4-2000 reset=1960 type=manzpower center-mag=+0.3553089574\ 873845/+0.6853393808366973/2.3e+013/1/-173.25/0 params=0/0/5/0 float=y maxiter=2000 inside=0 logmap=208 periodicity=10 mathtolerance=0.05/1 colors=000KClKDkKEjKFiKGhKHgKIfKJeKKdKLcKMbKNbKObK\ PbKQbbVXhXNnZEs`5t_9tZCtYFuYIuXLuWOvWRvVUvUXwU_wTb\ wSewShsRioRikRjhRjdRk`RkXRlURl`LYgFJn95mB7lD8kE9kG\ AjHBiJCiKDhMEgOFgPGfRHeSIeUJdVKcXLcYMe_NgaOibOkdPm\ ePngQpiRrjRtlSvmSxoTypTwlSuiSteRrbRqZRoWQnTQlPQjMP\ iIPgFPfBOd8Oc5OznnznlznlznlznizkgzgbzdazaYzYRzVRxQ\ QtNQqLQnJInJInIInIIsQRxYazfazn_zsgzzdzzqzzzzzzzzzz\ zzzzVzzVzzTwzTwzRwzRtzQtzQtzQszOszOszNszNqzNqzLqzL\ pzJpzJpzJpzInzInzGnzGlzElzElzDlzDkzDkzBkzBLFwRMvXT\ vb_uhfudgpagkZgfWgaTgXPhSMhNJhIGhDDh8Ah3Bi6Ci9DjCD\ jEEkHFkKFlNGlPHlSHmVImYJn_JnbKoeLohLojIhdGa_EWVBPQ\ 9IL7CGAGFDKFGNFJRFLUFOYFR`FUdEXhEZkEzozzrzzvzzyzzw\ zzuzzszQqbLohHmnGkkGiiGggGeeGcbGc`FcZFcXFcUFcSFcQF\ cOFcMIcKKcJMcHPcGRcETcDVbBYfAzj8zm7zp5zs4zv2zx1zz0\ zzBzzLzzVzzdzznzzkzzhzzfzzczz`zzZzzWzzTzzRzzOzzLzz\ JzzOzzSzzXzz`zzezzizznzzr } END PARAMETER FILE=========================================

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FOTD 30-03-09 (Star of Infinity [8])
by Jim Muth 29 Mar '09

29 Mar '09

FOTD -- March 30, 2009 (Rating 8) Fractal visionaries and enthusiasts: Space goes on forever, which is unimaginable, or it comes to an end, which is equally unimaginable. Or it might curve back on itself and close up like the surface of the earth, which is also unimaginable. And I hear that space might actually open up, so that there is more of it out there than we can imagine. What- ever might be the actual state of affairs, of one thing we can be sure -- the truth lies beyond our feeble powers of imagina- tion. So let's concentrate of something even less imaginable -- the totality of all possible fractals. Today's fractal image is but one of an infinity, though I'm not sure which infinity. Some infinities are infinitely greater than others. Actually, the image is a scene in the parent fractal that results when a tiny portion of Z is subtracted from an even tinier portion of Z^100. This parent fractal appears as a circle with a Mandeloid thing attached to its east perimeter and some flowery debris on its west side. Today's scene is located in the detail near the north shore of the Mandeloid thing. I named the image "Star of Infinity" and rated it at an 8. I see several nested 8-pointed stars in the scene. The calcula- tion time of 4-3/4 minutes is not quite as fast as I would like, but still plenty fast enough for a S.O.T.A. unit to handle before boredom arises. And as always, the finished image is or soon will be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> for immediate perusal and gratification. The mild weather on Sunday here at Fractal Central was compro- mised by heavy clouds and occasional showers of rain. With no sun, the outside temperature of 61F 16C gave little comfort to the fractal cats as they lay on their shelf by the window. But a bit of tuna lifted their spirits. My day was peaceful, which I guess is all one can ask for. The next FOTD, peaceful or not, will be posted in 24 hours. Until then, take care, and change is in the air, but who knows which way it might go. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Star_of_Infinity { ; time=0:04:44.05-SF5 on P4-2000 reset=1960 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+1.66407211213/+0.39288926327/3.6e+007/\ 1/44/0 params=0.01/100/-100/1/-0.9897/0/0/0 float=y maxiter=12000 inside=0 logmap=270 periodicity=10 colors=000DGNCHKBIKAILAIM9IN8IP7IQ7IR6IS6IT7IU7IV8\ IW8IZ9Ic9IhAHmAHrBHvBHzCUzCczCUzDHzDHvDHrEHmEHhFHd\ FGdFGdGGcGGcHGcHGcIGbIGbIFbJFbJFaKFaKFaPLeUQhZWlc`\ phfsmkwkjvjivhhugfueetddtbcsabs_arZ`qXZqWYpUXpTWoR\ VoQUnOTnNSmLQmKPlIOkHNkFMjGLjIKiKIiMHhOGhQFgSHhUJi\ WKkYMl_OmaQncSoeUpgVriXskZtmcuphztmzwrzzvzzzzzzzwv\ zrrzmmXahWadUacTacRcbQhbOmaNrfMvjKzjJviIriGmcFhcEc\ `CZXBUW9RU8PT7QR5RR4RT7PVAOWDNYFL_IK`LIaOHaRKbUPcW\ UdZZdacedhfgmgjrhlvhozirzjuzmtzoszqzzszztzzszzqzzo\ zzmvzkrzimzghvegrcgsaftafubevcewcdwccwzcwzbwzbwzaw\ zawz`wz`wz_wzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzz\ wzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwz\ zwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzVwzVwzVwzVwzVwzVw\ zVwzVwzVwzVwzVwzVwzVwzVwzVwzVwzVwzVwzVwzVwzVwzVwzV\ wzVwzVwzVwzVwzVwzUwzUwzUwzUwzUwzUwzUwzUwzUwzUwzUwz\ UwzUwzUwzUwzUwzUwzUwzUwzU } 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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Fractal Diode
by sciwise 29 Mar '09

29 Mar '09

Dear FractInt members . The diode is a very basic electronic component that exhibits a non-linear behavior . When used in a circuit an iterative approach is necessary to find the varying currents and voltages . To model the diode , to a reasonable accuracy , the diode equation can be used : I = Is ( exp(Vd /(n Vt)) - 1 ) I is the diode current, IS is the reverse bias saturation current . VD is the voltage across the diode, VT is the thermal voltage, and n is the emission coefficient , also known as the ideality factor. The emission coefficient n varies from about 1 to 2 Refer Wiki Diode Equation . When placed in a circuit containing reactive components , inductor , capacitor and appropriate resistive values the parameters in the exponential function become complex , with the next value being dependent upon the last : I(n+1) = Is ( exp((Vd + r I(n) )/(n Vt)) - 1 ) Where r [ impedance ] and I(n) [ current ] might be complex . I(n) represents the previous current through the diode . An iterated map might therefore use the real and imaginary components of I(0) as (x.y) coordinates . The result might be compared with datasheets or spice modelling . Why attempt this ; because a better , more interesting insight might be obtained . Has anyone on this list delved into this ?

1 0

FOTD 29-03-09 (Poppy Fields of Oz [8.5])
by Jim Muth 29 Mar '09

29 Mar '09

FOTD -- March 29, 2009 (Rating 8.5) Fractal visionaries and enthusiasts: Today's parent fractal is little more than a series of horizon- tal stripes in the Rectangular orientation of the Z^(1.1)+C Julibrot. This parent looks like a scene to be discarded fast, but when stretched and skewed to a great degree, the stripes turn into a poppy field in the land of Oz. It must be OZ; the scene most certainly is not in Kansas (or Pennsylvania). Seeing the fractal poppies blowing in the invisible wind under an azure sky, I named the image "Poppy Fields of Oz". Then I gave it a rating of 8.5, which includes 1/2 point for my color- ing. Such a smooth color palette is quite difficult to achieve with only 256 colors available. The calculation time of 2-1/3 minutes is brief enough to avoid boredom. The image is also available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> All good things must come to an end, and so the good weather of Friday came to an end on Saturday as heavy clouds moved in and rain began. At the same time, the temperature of 57F 14C was a bit too chilly for the fractal cats, who spent the afternoon with sour looks on their faces when their anticipated sun failed to appear. A treat of tuna cheered them however. My day was slow -- a welcome change after a busy week. The next FOTD will be posted in 24 hours. Until then, take care, walk with confidence, and believe that change is coming. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Poppy_Fields_of_Oz { ; time=0:02:22.63-SF5 on P4-2000 reset=2000 type=formula formulafile=slices.frm formulaname=RectangularN passes=1 center-mag=-0.00255084527186440/+0.000015032024027\ 91/178233/0.001255/0.148/89.811 params=1.1/0/0/0/\ 0.041627863/-0.002064849 float=y maxiter=10000 inside=0 logmap=136 periodicity=10 colors=000YNzYOzYPzYQzYRzOdxPdxQdxRdxSdxTdxUdxVdxX\ dxYdxZdy_dzadzaezbfzbgzbhzcizdjzckzdlzdmzemzfnzfoz\ gozhpzipzipzjqzkqzkqzlqzmqznqznqzoqzpqzprzqrzrrzrr\ zsrztrwtrttrqsqmsqhsqcrqZrqUrqPrqKqqGqqFqqFqqFpqFp\ pEppEppEopEopEopDopDnpDnpDnpDnpCmpCmpCmoCmoBloBloB\ loBloBkoAkoAkoAkoAjoAjo9jn9jn9in9in8in8in8hn8hn8hn\ 7hn7gn7gn7gn7gm6fm6fm6fm6fm5em5em5em5em4em4em4dm4d\ m4cl5ck5bj5bj5ai5ai5`h5`h5_g5_f5Zf5Ze5Ye5Yd5Xc5_c5\ mb5cb5cc6zc6cm6Zm6cc6cc6vn6zb6zc6zc6zm6cV6`V6YU6VU\ 6ST6PS6NR7MQ7KQ7KQ7KQ7UQ7UPPUQ7KQ7KQ7IM7HL7HL7GK7G\ J7FJ7UI7UI7UH7DG7DG8CF8CE8BE8BD8UD8AC89B89B88A8UA8\ U98788688U78678U8978989A89AU9A99BAABUABAACBBCBBCCB\ DCBDDCDUCDECEEDEEDEFDFFEFGEFGEGHEGHFGHFHIFHIGHJGIJ\ GIKGIKHJKHJLHJLIKMIKMIKNIKNJLOJLOJLOKMPKMPKMQKNQLN\ RLNRLORMOSMOSMPTMPTNPUNQUNQUOQVORVORWPRWPRXPSXPSYQ\ SYQTYQTZRTZRU_RU_RU`SV`SV } frm:RectangularN {; Jim Muth b=p1, z=flip(real(pixel))+p2, c=flip(imag(pixel))+p3: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 28-03-09 (Hypersphere Scene [8])
by Jim Muth 29 Mar '09

29 Mar '09

FOTD -- March 28, 2009 (Rating 8) Fractal visionaries and enthusiasts: Today's image shows a series of four-dimensional hyperspheres caught in the act of passing through our three-dimensional space. (The additional networks of twisting filaments and flying clouds of fractal sand can be considered extra bonuses.) If a 4-D hypersphere were to pass through our space, we would see a tiny sphere appear, which would grow in size, reaching maximum size as the center of the 4-D hypersphere passed through our space, and then shrink at the same rate as it grew until it finally vanished. Today's image shows a series of hypersphere intersections from the first 3-D slice to the largest. Of course, I invented this analysis. The image is a pure abstraction that could represent almost anything one wanted to see in it. It is actually a scene in a fractal created by the MandNewt06 formula, a formula I wrote about 10 years ago and soon forgot about. I have a whole series of these formulas, which are equally as forgotten. Most of today's image consists of 'inside' stuff made visible by the 'bof60' inside fill, a fill that has a tendency to create 'bubbles'. The rating of an 8 might be a bit overblown, but I kind of like the image. The name is self-descriptive. The calculation time of 2-1/2 minutes is fast enough to prevent boredom and slow enough to give time to enjoy the rendering precess. The image is also available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The rain ended during Thursday night here at Fractal Central, leading to a foggy start on Friday. But the strong spring sun cleared away the fog by 10am, and the rest of the day was hazy and mild. The fractal cats found the afternoon sun on their shelf just warm enough for comfort. My day was peaceful but rather busy -- not a bad combination. The next FOTD will be posted in 24 hours. Until then, take care, and if you see it with your own eyes, it might or might not be real. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hypersphere_Scene { ; time=0:02:28.62-SF5 on P4-2000 reset=2001 type=formula formulafile=basic.frm formulaname=MandNewt06 passes=1 float=y center-mag=0.274128/-1.06927/24.13934/1/-67.5/0 params=-2.37/2.17/-1.56/-1.05/3.29/-3.17 maxiter=254 inside=bof60 logmap=yes periodicity=0 colors=000pzznyxlxwjvuhtsfrqepodnmclkaji`ig_geZecY\ caXa_V`YUZWTXVSWTRUSQSQOQPNPNMNMLLKKJJJIIEEGGEGFCH\ EBID9JC7K94LA6MB7NC8OD9PEAQFBRGCSHDTIEUJFVKGVJHVKI\ VLJVLKVbLRdMSfNUhOVjPWlQYmRZoS_qTasUbuVcwWexXfxYgr\ ZdkZadZ_XZXQZVJZSAYRCZQDaNFeKGhHIlEInBJoCKoCKoCLoC\ LoCMoCMoCNoCNoDOoDOoDPoDQoDQoDRoDRoDSoESoEToEToEUo\ EUoEVoEWoEWoFXoFXoFYoFYoFZoFZoF_oF_oF`mG`lH`kIajIa\ hJagKafLbeLbdMbbNbaOc`Oc_PcYQcXRdWRdVSdUTdSUeRUeQV\ ePWdMYeOWeQVeRTeTSeUQeWPeXOeZMe_LeaJebIedHeeFegEeh\ CejBekAdj9dj9cj9cj8cj8bj8bi8bi7ai7ai7ai7`i6`i6`h6_\ h6_h5_h5Zh5ih4ih4ig4ig4ig3hg3gg3fg3fg2ef2ef2df2df1\ cf1cf1bf1be3ad4ad5`c6`c7_b8Zb9YaBXaCW`DV`EU_FT_GSZ\ HSZJSYKSYLRXMRXNRWORWPRVQRUSRUTRTURTVQSWQSXQRYQR_Q\ Q`QQaQPbQPcQOdPOePNgPNhPMiPMjPLkPLlPKmPKnRMmTNmUOm\ WQmXRlZSl`UlaVlcWkdYkfZkh_kiajkbjlcjnejpfiqgisiitj\ iukhvmhwnhxohyphzqhzrhzsh } frm:MandNewt06 {; Jim Muth z=c=(pixel*p1): a=z^3+(c-p2)*z-c b=p3*z^2+c-1 z=z-1*a/b 0.000000000000000000000000000001 <= |a| } END PARAMETER FILE=========================================

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FOTD 27-03-09 (Interwoven Threads [7])
by Jim Muth 27 Mar '09

27 Mar '09

FOTD -- March 27, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today's FOTD combines Z with Z^(-4) and adds straight C. This combination produces a parent fractal consisting of a single large Mandel bay with strings of debris scattered well west of it. Today's image is located in a string of this debris near the point where the string emerges from behind a round-cornered blob in the foreground. According to my non-scientific and rather useless rating system, which I may soon abandon, the image rates a 7. I chose the name "Interwoven Threads" when I noticed the resemblance of the circ- ular area around the central minibrot to a doily under the lamp on the table in the hallway here at F.C. The best part of the image may be its calculation time of a minuscule 40 seconds, which means little time will be wasted waiting for fractal satisfaction. Equal or even greater satisfaction may be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished image is posted. Heavy clouds, steady rain and a temperature of 43F 6C kept things suppressed here at Fractal Central on Thursday. The fractal cats, perhaps the most suppressed of all, spent the day sulking by the heat, waiting in vain for the sun to appear. My day was spent waiting for the work to disappear, which, with some effort on my part, it finally did. The next FOTD is due to appear in 24 hours, and at this time I see no reason why it will not. Until then, take care, and one who knows he cannot do it, cannot do it, but one who knows he can do it, might do it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Interwoven_Threads { ; time=0:00:40.72-SF5 on P4-2000 reset=2000 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-1.809781992375213/+0.7438658124462563/\ 3.11042e+011/1/95/0 params=1/1/1/-4/0/0/0/0 float=y maxiter=300 inside=0 logmap=40 periodicity=10 mathtolerance=0.05/1 colors=000UPfURrUTz000000000000000000p4zlESnNSqXSs\ eTvoTxxTlrRalPQfNF`LGZJGYHGXFHVDHUBHT9POEXKJdFOlBT\ t7XuB_uEavIcvLevOgwSiwVkwYme`mf__gZMgY8gY8hY8hY8hY\ 8iY8iY8iY8iY8jY8jY8jY8kY8kZ8kZ8lZ8lZ8nZ8qZ8tZ8wZ8z\ Z8zZ8zZ8zZ8zZ8z_Az_Cz_Dz`Ez`FzaHzaJzbLzbMzcOzcQzdR\ zdTzeVzeXzfYzf_zgazgbzhdzhfzihziizjkzjmzknzkp_lr_l\ tZmuZmwYnyrw3pv8nuDmtHktMisRhrVfr_eqccphapm`oqZnvg\ zDfzIezMdzQczUbzYbzaazf`zj_znZzrYzvCz`DzaEzbFzcGzd\ HzeIzfIzgJzhKziLzjMzkNzlNzmOznPzoQzpRzqSbrTdsTetUg\ uVhvWjwXkxYmy1fN3gP4gQ5gS6hT7hU8hW9hXBiZCi_Di`EjbF\ jcGjdHjfJkgKkiLkjMkkNlmOlnPloRmqSmrTmtUmuVnvWnxXny\ fpxeoyeoyeoyeoyeoyeoydoydoydoydoydoydoydoycoycoyco\ ycoycoycoyboyboyboyboyboyboyboyaoyaoyaoyanzanzanz`\ nz`nz`nz`nz`nz`nz`nz_nz_nz_nz_nz_nz_nzZnzZnzZnzZnz\ ZnzZnzZnzYnzYnzYnzYnzYnzYnzrVOka`dhm2Nm3On4Pn4Pn5Q\ o6Qo6Ro7Ro8Sp8Tp9TpeQIgFN } 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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