October 2010 - Fractint - mailman.xmission.com

Fmod Minibrot
by Roger Alexander 21 Oct '10

21 Oct '10

Minibrots-if the iteration loop has x^2 + c its got a minibrot! Another pre-calculated nomadic mandelbug at http://maxitersfractalfollies.blogspot.com. Fmod Minibrot { ; fract481.gif ; blank ; calctime 0:17:12.49 ; created Oct 20, 2010 ; Fractint Version 2004 Patchlevel 10 reset=2004 type=formula formulafile=kerrym.frm formulaname=hermanm_man-cart passes=1 center-mag=+1.10021739445293500/+0.02785688062135686/341530.1/1/-167.500\ 000001965589/7.71297616053434609e-010 params=4/3/1/0/2/0 float=y maxiter=1500 inside=0 proximity=2 outside=fmod logmap=14 colors=00101211312412413523624724825935936A36B37C47D48E48F49F59G5AH5AI5B\ J6BK6CK6CL6DM7DN7EO7EP7FP8FQ8GR8GS9HT9HU9IUAIVAJWAJXBKXBKYBLYCLZCMZCM_DN\ `DN`DOaDOaEPbEPbEQcFQcFRdFReGReGSfGSfHTgHTgHUhIUiIViIVjIWjJWkJXkJXlKYlKY\ mLZnLZnM_oM_oM`oN`pNapOaqObqPbrPcrPcrQdrQdsResRetRftSftSgtTguThuUhuUivVi\ vVjvVjvWkwXkwYlwYlwZmxZmx_nx_nx`ox`oxapyapybqybqycrydryesyeszftzgtzhuzhu\ zivzjvzkwzmwznxzpxzqyzryzuzzuzzuzzryzqyzoxznxzmwzkwzjvzivziuzhuzgtzftzfs\ zesydrycrybqybqyapyapy`ox_ox_nxZnxZmxYmwYlwXlwXkwWkwVjvVjvVivVivUhvUhuTg\ uTguSfuSftRetQesQdsQdrPcrPcrObqObqOapNapN`oN`oM_nM_nMZmLZmLYlLYlKYlKXkJX\ kJWjJWjIViIViIUhHUhHTgHTgGSfGSfFRfFReFQdFQcEPcEPbEObDOaDNaDN`CM_CM_BLZBL\ ZBKYAKYAJXAJWAIV9IU9HU9HT8GS8GR8FR8FQ7EP7EO7DN7DM6CL6CL6BK6BJ5AI5AH59G59\ G48F48E47D37C36B36A35A259248247236135124124113012001000 } frm:hermanm_man-cart { ; Kerry Mitchell 16feb98 ; ; real(p1) = z exponent (use integer >= 2; m=n-1) ; imag(p1) = g exponent (integers) ; p2 = alpha ; real(p3) = critical point selector (>0 for positive root) ; imag(p3) = unused (<0 for negative root) ; use decomp=256 ; zero and infinity bailouts hardcoded to 1e-6, 1e6 ; coloring speed hardcoded to 4 ; c=pixel, iter=1, n=real(p1), m=imag(p1), nfac=2*n-1 maxr=1e6, minr=1/maxr, speed=4*pi/128, alpha=p2 oln=1/log(n), fac=log(0.5*log(maxr)) c2=sqr(c), hypnum=sqr(n)+sqr(m), pn=1 hypden=sqr(n-m), hypfac=hypnum/hypden if (real(p3)<0) pn=-1 end if if (real(c2)>hypfac) pn=-pn end if if (imag(c)<0) pn=-pn end if afac=c*n, bfac=c2*(n-m)+(n+m), cfac=c*n d=sqrt(bfac*bfac-4*afac*cfac) z=(bfac+pn*d)/(2*afac) : g=(z-c)/(1-c*z), z=alpha*z^n*g^m iter=iter+1, r=|z| ; ; orbit trap around 0 ; renormalize iteration count via decomp angle ; set "iteration done" flag (iter=-1) ; if (r<minr) angle=(iter+oln*(fac-log(log(cabs(z)))))*speed z=cos(angle)+flip(sin(angle)) iter=-1 end if ; ; orbit trap around infinity ; renormalize iteration count via decomp angle ; add pi to angle to separate from 0 orbit trap ; set "iteration done" flag (iter=-1) ; if (r>maxr) angle=(iter+oln*(fac-log(log(cabs(z)))))*speed angle=angle+pi z=cos(angle)+flip(sin(angle)) iter=-1 end if iter>0 } Roger Alexander

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Re: [Fractint] What?
by Jim Muth 20 Oct '10

20 Oct '10

At 09:34 PM 10/19/2010 -0400, D Fisher wrote: >I was going through my fractal files and asked myself a >question to which I don't know the answer: Exactly what am >I seeing when I view a fractal? What is the relationship of >the display to the <z> axis? When a Mandelbrot fractal is viewed, the two C axes are displayed on the screen, while the two Z axes are perpendicular to the plane of the screen. This nonsense is possible because the formula Z^2+C consists of two complex numbers which have four variables in all. Four variables define a space of four dimensions. (In the Julia sets, the Z axes are on the screen, while the C axes are perpendicular.) >Is it possible to rotate any >fractal so that any axis becomes any other axis? Or is the >computed display all there is? Is it possible to begin >parsing with different axes? Yes, any Fractal may be rotated through any orientation in the four-dimensional hyperobject called the Julibrot. The SliceJulibrot4 formula that I frequently use does just this. >Basically, imagine a rectangle the ratios of which (x, y, z) >are 2:4:1 (of any magnitude). Where on, or in, this >rectangle is the position of the fractal? And if it were >observed from the smallest axis (z), what would it look >like? The Mandelbrot set cuts a two-dimensional slice through the center of the Julibrot, though it does not cut the Julibrot apart. The perturbed M-sets cut other slices in the same orientation, though not through the center. The Julia sets cut slices through the same Julibrot in an absolutely perpendicular orientation. When a Mandelbrot set is viewed from the other 2 axes, nothing of the M-set remains but a single point, but we now see new stuff surrounding the point that we call a Julia set. >This has me baffled, and is mind game that is generating a >lot of heat. >Any answer would be appreciated, but especially one I could >understand. >Thx > >David M fisher This is the situation as I see it. Lots of luck understanding it. After 20 years, I'm still not sure I actually understand it. Jim M.

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Patch Level 10
by Roger Alexander 20 Oct '10

20 Oct '10

Posted at http://maxitersfractalfollies.blogspot.com a minibrot ,gif and anti-aliased jpg versions, of the classic Mandelbrot generated with the just released patch level 10 for Fractint 20.04. No problems so far running the new executable under DOSBox in Vista. Fractint 20.04 Patch 10 { ; Fractint 20 04 Patch 10 just released ; fract480.gif ; calctime 0:03:04.88 ; created Oct 19, 2010 ; Fractint Version 2004 Patchlevel 10 reset=2004 type=mandel center-mag=+0.41523553474131090/-0.33178413843968140/1.117565e+008/1/90/\ 3.88578058618804789e-016 params=0/0 float=y maxiter=12000 inside=0 logmap=500 colors=000202303505606808A0AB0BD0DE0EG0GI0IJ0JL0LM0MO0OQ0QR0RT0TU0UW0WY0\ YZ0Z`0``0`a0ab0bc0cd0dd0de0ef0fg0gh0hh0hi0ij0jk0kl0lm0mm0mn0no0op0pq0qq0\ qr0rs0st0tu0uu0uv0vw0wx0xy0yz0zy0yw0wv0vt0ts0sq0qp0pn0nm0mk0ki0ih0hf0fe0\ ec0cb0b`0`_0_Y0YW0WV0VT0TS0SQ0QP0PN0NM0MK0KJ0JH0HF0FE0EC0CB0B90980860650\ 530310100100200300500600700800A00B00C00D00F00G00H00I00K00L00M00O00P00Q00\ R00T00U00V00W00Y00Z00_00`00b00c00a12b25c48d5Ae6Df8Gg9JhBLiCOjDRkFUlGWnIZ\ oJapKdqMfrNisPltQouRqvTtwUwxWzzVwyTswRovPktNgsLdqJ`pHXnFTmDPkBMj9Ih7Eg5A\ e36d00b00a00_00Z00X00W00U00S00R00P00O00M00L00J00H00G00E00D00B00900800600\ 5003001100300600900B00E00H00J00M00M00O00Q00S00U00X00Z00a00d00g10k10n10r1\ 0v10z21z21z43z65z87zA9zDBzFDzHFzJHzLJzOLzQNzSPzURzWTzZVzXUzVSzTQzROzPMzM\ KzKIzIGzGEzECzBAz98z76z54z32z00v00o00g00Z00O00D00100100 } Roger Alexander

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What?
by David M Fisher 20 Oct '10

20 Oct '10

I was going through my fractal files and asked myself a question to which I don't know the answer: Exactly what am I seeing when I view a fractal? What is the relationship of the display to the <z> axis? Is it possible to rotate any fractal so that any axis becomes any other axis? Or is the computed display all there is? Is it possible to begin parsing with different axes? Basically, imagine a rectangle the ratios of which (x, y, z) are 2:4:1 (of any magnitude). Where on, or in, this rectangle is the position of the fractal? And if it were observed from the smallest axis (z), what would it look like? This has me baffled, and is mind game that is generating a lot of heat. Any answer would be appreciated, but especially one I could understand. Thx David M fisher

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Re: [Fractint] Fractint version 20.04 patch 10 is now available
by Roger Alexander 20 Oct '10

20 Oct '10

Jonathan Osuch wrote: Fractint version 20.04 patch 10 is now available on the developer's web site So far no problems running it under DOSBox in Vista. Roger Alexander

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FOTD 20-10-10 (Patterns in the Mist [5])
by Jim Muth 20 Oct '10

20 Oct '10

FOTD -- October 20, 2010 (Rating 5) Fractal visionaries and enthusiasts: Today's image rates only a 5, but this is for its artistic aspect, which I admit is not too great. It's mathematical aspect is far more interesting however. While casually rotating the colors of today's scene, and ready to move on to a more promising image, I caught a fleeting glimpse of an unsuspected pattern buried in the chaos that fills the screen. I bit of tweaking revealed that I was not mistaken. The pattern definitely is there -- unlike anything I have seen before. But it takes special coloring to reveal the underground pattern, which is nearly invisible with normal random coloring. The parent fractal consists of a circle with a trapezoidal shape nearly filling it and a large distorted Mandeloid inside the trapezoid. Most of the distortion in the Mandeloid lies in the higher-order buds, which are elongated to ridiculous lengths. Today's scene lies in the northern branch of Seahorse Valley of the Mandeloid. The image is filled with both minibrots and disappointing dry valleys that look like they hold minibrots but go flat before a minibrot appears. I have already checked a few minibrots and found them to be disappointing. This does not mean that no great minibrots lie in the depths, but it is not a good way to start searching. The name "Patterns in the Mist" refers back to the original scene before I began work on the colors, when the dark under- ground pattern was virtually invisible. The calculation time of 2-1/2 minutes will pass in a flash, especially for those who have something else to do while waiting. Those with idle time may avoid impatience by viewing the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> Tuesday turned out really not too bad here at Fractal Central. The morning fog cleared off by 10am, leading to a sunny day with light winds and a temperature of 63F 17C. For some reason, the fractal cats were active unusually early, and settled into their afternoon naps well before noon. My day was rather busy but satisfying. FL was also busy. The next FOTD will be posted in 24 hours. Until then, take care, and the supernatural does not exist, that is unless we are talking about what the human brain is supposed to do. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= PatternsInTheMist { ; time=0:02:31.61-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=-0.741183021/+0.043160417/3242/1/\ -12.5/0 params=-3/10/0/0 float=y maxiter=7500 inside=0 logmap=68 periodicity=6 colors=000PPPmcUUcmcmAmrnwKpmsomsnmsmmrkmqimpgmoem\ ncmmbmm`mmZmmXmmVmmUmmSmmQmmOmmMmmKmmJmmHmmFmmDmmD\ mmAmmAmmAmmAmmAmmAmmAmmAmmAfmAgmAhmAimAjmAjmAkmAlm\ AmmAnmBomBpmCqmDqmDmmEjmEgmEdmE`mEYmEVmESmERmDRmDR\ mCH02H52H61G61G71G70L70L80L80K90K90K90KA0KA0K00OB0\ OB0OC0OC0OD0OD0OD0PE0PF0QF0QG0QG0RH0RI0RI1SJ2SJ2TK\ 3TL4TL5UM5UM6UN7VO7VO8VP9WP9WQAXRBXRCXSCYSDYTEYUEZ\ UFZVGZVGYUHXTIXTJWSKWSLVRLUQMUQNTPOTPPSOQSOQRNRQMS\ QMTPLUPLVOKVNJWNJXMIYMIZLH_LH_JFZIEZHDZFCZEAYD9YB8\ YA7Y95X74X63X52X61W71W81V91V91VA1UB1UC1UD1TD1TE1TF\ 1SG1SG1SH1RI1RJ1QK1QK1QL1PM1PN1PO1OO1OP1OQ1NR1NR1N\ Q3OQ4OQ5OQ6OP7OP8OP9OPAOOBOOCOOEPOFPNGPNHPNIPNJPMK\ PMLPMMPMNPLOPLQQLRQLSQKTQKUQKVQK0QJ0QJ0QJ0QJ0QS0bT\ 0bT0cT0dU0dU0eV0eV0fV0fW0gW0gW0hX0hX0iX0jY0jY0kZ0k\ Z0lZ0l_0m_0m_0n`0n`0oa0p`0o`0o`0o`0o`0n_0n_0n_0nO0\ 8Q0AR0DS0FT0IU0KW0NX0QY0S } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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Re: [Fractint] Fractint version 20.04 patch 10 is now available
by jimmckenzie＠earthlink.net 19 Oct '10

19 Oct '10

Is there a way mto make this run in 64 Bit Win 7? I tried changing the compatibility settings but it doesn't help. -----Original Message----- >From: Jonathan Osuch <osuchj(a)avalon.net> >Sent: Oct 16, 2010 12:06 PM >To: Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> >Subject: [Fractint] Fractint version 20.04 patch 10 is now available > >Folks, > >Fractint version 20.04 patch 10 is now available on the developer's web >site: > >http://www.fractint.net > >or > >http://www.fractint.org > >What's new: > >Fixed WinFract resetting palette when parameters are changed with the ><X>, <Y>, <Z>, or <G> screens. > >Fixed usage of shift and control keys in Xfractint. > >Added sanity checks in Xfractint parser functions. > >Fixed long standing bug in Xfractint that occurred when a PAR was >invoked from the command line. > >Increased the WinFract maximum image size to 4096x4096 pixels. Your >mileage may vary depending upon how much memory Windows can allocate. >But remember that above 2048x2048 passes=1 is forced. > >Fixed bug in the cvtcentermagbf() routine that was introduced some time >prior to version 19.6. This fixes the problem that was occurring when >rotating ap math images by 90 degrees. > >Fixed buffer overflow in Xfractint that occurred when changing >directories. > >Jonathan > > > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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Moody Blue
by Roger Alexander 19 Oct '10

19 Oct '10

A dark moody palette with a flickering of light. This fractal was generated with a real p1 (bailout) of 20 instead of the suggested 10^12. At the usual http://maxitersfractalfollies.blogspot.com. Moody Blue { ;fract477.gif ; blank ; calctime 0:01:15.85 ; created Oct 17, 2010 ; Fractint Version 2004 Patchlevel 9 reset=2004 type=formula formulafile=frac_ml.frm formulaname=gaussinttot_man center-mag=-0.864/0.761751/17.83333 params=20/30 float=y maxiter=1500 inside=0 decomp=256 periodicity=0 colors=00101211312412413523624724825935936A36B37C47D48E48F49F59G5AH5AI5B\ J6BK6CK6CL6DM7DN7EO7EP7FP8FQ8GR8GS9HT9HU9IUAIVAJWAJXBKXBKYBLYCLZCMZCM_DN\ `DN`DOaDOaEPbEPbEQcFQcFRdFReGReGSfGSfHTgHTgHUhIUiIViIVjIWjJWkJXkJXlKYlKY\ mLZnLZnM_oM_oM`oN`pNapOaqObqPbrPcrPcrQdrQdsResRetRftSftSgtTguThuUhuUivVi\ vVjvVjvWkwXkwYlwYlwZmxZmx_nx_nx`ox`oxapyapybqybqycrydryesyeszftzgtzhuzhu\ zivzjvzkwzmwznxzpxzqyzryzuzzuzzuzzryzqyzoxznxzmwzkwzjvzivziuzhuzgtzftzfs\ zesydrycrybqybqyapyapy`ox_ox_nxZnxZmxYmwYlwXlwXkwWkwVjvVjvVivVivUhvUhuTg\ uTguSfuSftRetQesQdsQdrPcrPcrObqObqOapNapN`oN`oM_nM_nMZmLZmLYlLYlKYlKXkJX\ kJWjJWjIViIViIUhHUhHTgHTgGSfGSfFRfFReFQdFQcEPcEPbEObDOaDNaDN`CM_CM_BLZBL\ ZBKYAKYAJXAJWAIV9IU9HU9HT8GS8GR8FR8FQ7EP7EO7DN7DM6CL6CL6BK6BJ5AI5AH59G59\ G48F48E47D37C36B36A35A259248247236135124124113012001000 } frm:gaussinttot_man { ; Kerry Mitchell ; ; Gaussian integer coloring of Mandelbrot set ; color by average distance to nearest integer ; inside and outside handled the same way ; ; use decomp=256 ; real(p1) = bailout (try 1e12) ; imag(p1) = scaling factor (try 30) ; variable zc used for calculation; coloring done with z ; zc=0, c=pixel, rmax=real(p1), scale=imag(p1) iter=1, rmin=1, z=zc, tot=0: ; ; iteration ; zr = gaussian integer ; r = distance to zr ; zmin = integer with minimum distance ; tot = running sum of r's ; iter=iter+1, zc=sqr(zc)+c, rzc=|zc| zr=round(zc), r=|zc-zr|, tot=tot+r ; ; bailout ; scale average distance to decomp angle ; set "iteration done" flag (iter=-1) ; if ((rzc>rmax)||(iter==maxit)) angle=scale*tot/(iter-1) z=cos(angle)+flip(sin(angle)) iter=-1 endif iter>0 } Roger Alexander

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FOTD 19-10-10 (Evaporated but Present [6])
by Jim Muth 19 Oct '10

19 Oct '10

FOTD -- October 19, 2010 (Rating 6) Fractal visionaries and enthusiasts: The name of today's image -- "Evaporated but Present" -- gives away the big secret -- the image is an evaporated one. The one- googol value of the imag(p3) parameter is yet another give-away. The scene lies in the same indescribable parent fractal as yesterday's image, though in a different part. In its entirety, this parent is truly indescribable, but it does somewhat resemble a snowman that has toppled over and is lying flat with its head facing east. The rating of a 6 was held back because the colors seem a little washed out, but a rating of a 6 is still above average, and with a calculation time of only 1 minute, what is there to lose. Perhaps the best way to view the finished image is to surf virtually out to the FOTD web site at: <http://www.Nahee.com/FOTD/> and ogle the finished product there. Lots of clouds, occasional sprinkles of rain, and a chilly temperature of 52F 11C spoiled things here at Fractal Central on Monday. The fractal cats spent most of the morning squatted down in the sulk position, so I suppose they got no more enjoy- ment from the conditions than the humans did. Both my day and FL's day went along uneventfully. The next FOTD will be posted in 24 hours. Until then, take care, and if one were to go back in time and shake hands with his younger self, would he remember both sides of the handshake when he returned to the present? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= EvaporatdButPresnt { ; time=0:01:00.67-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=-2.802310377022/+1.013603876431/1e+008\ /1/-135/0 params=4/-1.4/1/-4.4/0/1e+100/0/0 float=y maxiter=1000 inside=bof61 logmap=52 periodicity=6 colors=000000638G8AA7CIDEEBGLGIIFKNKLJLMJONKRWOPPK\ X_BULKXkT_O`eMiXKkkKm_KohKqcKscKucKwcPxcUzzzzzzzzz\ zzzrphrphmphmphhphhphcphcphZphZphUphUrgSphTniUmiUk\ jVjjWhkWglXelYdmZbmZan__o`Zo`XmaWjbUgbTd`RaZPZXNWV\ LTTJQRIMPGJNEGLCDA08A05A04A04LD4NF4QH4SJ4UL4WN4ZO3\ `Q3bS3dU3gW3iY3k_3ma3ob3m`5lZ7jY9iWAgUCfTEdRGcQHbO\ J`ML_LNYJOXHQVGSUEUTDVRFXQGYPHZOI_NJ`MLaLMbzNczOdz\ PezRfzSgzThzUizVjzXkzYlzZmz_nz`ozakzagzbczb`zcXzcT\ zcQzdMzdIzeEzeBzf7zf3zf0zc1za1zZ1zX1zU1zm1zz1zm2zz\ 2zm2zz2zm2zz2zm2zz0zm2zz3zm5zz6zm8zz9zNAzzCzTDzzFz\ ZGzzIzdJzzKziMzzNzoPzzQzuSzzTzzUzzSzzRzzQzzPzzOzzN\ zzMzzLzzKzzJzzIzzHzzMzzQzzVzzUzzUzzUzzTzzTzzUzzTzz\ TzzTzzTzzTzzTzzTzzTzzSzzSzzSzzSozSrzStzSwzSyzSuzRr\ zQozQlzPhzOezObzN_zN`zQ`zSazUazWbzZbz`czbczdezafz_\ gzYizVjzTkzRmzOnzMozKqzHrzFszDmzNgzW`zcazdbzeczfdz\ fezgfzhgzihziIzMJzLKzKLzK } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD 18-10-10 (Away on a Dry Wind [6])
by Jim Muth 18 Oct '10

18 Oct '10

FOTD -- October 18, 2010 (Rating 6) Fractal visionaries and enthusiasts: Most of the worth of today's image came about when I rendered it with the inside set to 'bof60' and the outside set to 'tdis'. The image itself consists of about half inside and half outside stuff. The parent fractal is one of those indescribably complex things that result when both exponents of Z have negative values and (1/C) is added. The name "Away on a Dry Wind" came to mind first when I tried to find a name for the image. I can see little connection to the actual image however. The rating of a 6 is just enough above the routine average to make the 3-1/6 minutes required to run the parameter file worth the effort. The finished image is available for instant viewing on the FOTD web site at: <http://www.Nahee.com/FOTD/> and no password is needed. Sunday here at Fractal Central was near perfect. The sunny skies and temperature of 70F 21C brought contentment to humans and cats alike. Being a human, (At least I was the last time I checked), I shared in the contentment. The next FOTD will be posted in 24 hours. Until then, take care, and where did it all go? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Away_on_a_Dry_Wind { ; time=0:03:10.21-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=+1.3713561803/-0.1740601838/29157/1/\ -77.5/0 params=4/-1.4/1/-4.4/0/0/0/0 maxiter=1500 float=y inside=bof60 outside=tdis periodicity=6 colors=000GbBGaBGaAG`AG`9G_9G_9GZ8GY8GY7GX7GX7GW6G\ W6GV5GV5GU5GU4GT4GT3GS3EP0GS3IU6KW9MYBO_EQaHSdJUfM\ WhPYjR_lUanXbpZSkeIfl0nz0mz0lz0jz0hz0fz0dz0bz0`w0Z\ s0Xo0Vk0Rg0Nc0J_0FW0AX05T00KVEITEGQEFOEEMEDOIGPLJR\ PLSSOUWQVZTXbWYeY_i``lbbpecsg`phZmhXjhVhhTehRbhP_h\ NYhLVhJSiHQiFNiDKiBHi9Fi7Ci59i37i4Gj4Pj5Yk5fk2wm5o\ k8hjBaiEUgHNfKGeM9dOBcPDcQEcRGbSHbTJbVKbWMaXOaYPaZ\ R`_S`aU`bV`cX_dY_e__faZgbZidZjeZkgYlhYmjYnlXpmXqoX\ rpXsrWtsWuuWvvWsuYqu_nt`ltbiscgsedsfbrh_rjYqkVqmTp\ nQppOpqNooMomMolLojKohKogJoeIocIobHo`Ho_GoYFoWFoVE\ oTDoRDoQCoOCoNBoLAoJAoI9oG8oE8oD7oB1u67oACiEHcIMYM\ RSQWMU`HXZGWYGVWFVVFUUEUSETRDTQDSOCSNCRMCQKBQJBPIA\ PGAOF9OE9NC8NB8MA8M99N9AO9AO9BP8BP8CQ8DQ8DR8ER7ES7\ FS7GT7GT6HU6HU6IV6JV6JW5KW5KX5LX5MY4MY4NZ4NZ4O_2N`\ 4O_5P_6Q_QMDQLDQLDQNCVQNZUXgTehYdjZcmZcrZbvZazZ`vU\ ZrPWmKThFQcEOcENcEMcEKcEJ } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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