June 2003 - Fractint - mailman.xmission.com

Re: Danilo Spada Animations
by JackOTradez 21 Jun '03

21 Jun '03

Fractint does not directly output to animation, however, it is possible to write scripts that run fractint to create a series of images which can then be compiled to AVI, MPEG, WMV etc. See if any posted on http://www.sonic.net/~jot/ufvp.html can be of use to you. Neuropsychology? Way cool! Stay Amazed. JoTz

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FOTD 20-06-03 (Pure Wholeness [6])
by Jim Muth 21 Jun '03

21 Jun '03

FOTD -- June 20, 2003 (Rating 6) Fractal visionaries and enthusiasts: When a discontinuous function is iterated, a discontinuous fractal results. Most of the FOTD fractals that are generated by the MandelbrotMix4 (or 2) formula are discontinuous, and indeed, the discontinuities often create the image. Today's image however is continuous. It combines 0.3 parts of Z^(-2) with 0.3 negative parts of Z^4 before it adds (1/C). The resulting parent fractal is an oversized area of chaos, rotated 45 degrees, which needs two outzooms before it totally fits on the screen. Near the center are two symmetrical and completely outrageous mutant Mandeloids, with no relation at all to the proper Mandel shape. But these Mandeloids have no discontinui- ties, and that alone makes them interesting. Today's scene is located rather deep in one of the less-likely valleys of the eastern Mandeloid. (In this Mandel-figure, all valleys are unlikely.) One of my taken-for-granted midgets is located as usual at the center, though it is too small to occupy more than a few pixels. But the midget is not the center of attention. That honor goes to the elements that fill the image, and delineate a kind of cogwheel. These elements are almost totally disconnected, but they are unbroken. Not a single discontinuity mars the wholeness of the image. This is how the fractals with fractional negative exponents would appear if a way could be found to eliminate the discontinuities, a task that is impossible but still fun to speculate about. I named today's image "Pure Wholeness" because that's what it is. Too bad I could rate it no higher than a 6, but even a 6 is at least slightly above average. Running the parameter file, with its render time of almost 9 minutes, is one way of admiring the wholeness of today's image. A second way is to download the completed GIF image from one of the FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Clouds were plentiful here at Fractal Central on Thursday, but the temperature reached 81F 27C and the rain held off until nightfall. These pleasant conditions enabled the cats to enjoy several hours in the yard and enabled me to save a can of tuna. Today should be a wetter repeat. If I get the routine work done early enough, and if the rain does hold off, it might turn out to be another good day for both cats and humans. But to finish I must start, so until the next FOTD in 24 hours, take care, and study them as we might, we will never understand all there is to know about fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Pure_Wholeness { ; time=0:08:37.50--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=+2.486158315330713/-0.00021229147922154\ /3.847846e+009 params=-0.3/4/0.3/-2/0/525/0/0 float=y maxiter=3600 inside=0 periodicity=10 colors=000cyVbzPbzKVqHNfGGXE8MC0CBEJ9SP9cT8q_8ze6z\ i6zcPz_eyVvx`pveiuicsp_quTpyNpzJupByc4zQ0zE0z10z40\ x80sB0mC0fG0bJ0XM0SN1XK8_HEbEJeBPi8Vm4_p1es0im0kf0\ n`0pV0sP0uGzuSzxcvzpnzzfzxcvsbmn`ci_VeYM`XCXV3ST0J\ _qXfvhnzvvzzzz0QH0VM8_QGbVPf_XiccnhkqkcpfYnbSm_MkV\ EiQ8hN1fJ0fG1cC8`9EY6KX3QT0XQ0bN0hM0s8Mz0p0zz8xzNk\ zbYzqMzkJueGm_CeVB_xmYmqScuMVyGMz9Cz33z00z00z00z0C\ z0Pz0bz0pz0zz0zk8yXExHMx1ScKKM`E3s60z00z93zJCzSMz`\ VzicyskxzfssbnkYicTeXP`PKXHGT9JXCM_EPbGScHVfJYiK`k\ MVQCQ44T18X09_0B`0Cc0Ef0Gh0He0Jc1Kb9M_HNYPPXXPQ0cT\ 4hV6p0Qy4GsB6mH0f`TnVNhPJcJE_C9V84QHG_PPhXYpcfykpz\ syzmnzfczbTzXKzS9zM0zH0zf0`z440pu6qiHq_SsPbsEmu3xu\ 0ui0s_0pQ0nG0m60iE8hKEeQMcXSbc__ieYpmXvsPpkJicCcX4\ YP0SH0M90H30Q40Y60e80m90uB0zC0vE0qG1kH3fJ6bK8XMBSN\ CNPHHYMBeQ4nT0vN0uH1sB3q44p06p9cmG`TKY9PX00J0ihqme\ snbup_vqXvuTxvQyxNzyKzev` } frm:MandelbrotMix2 {; 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 20.0 PAR-FORMULA FILE==================================

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FOTD 15-06-03 (Fractal Peaches [4])
by Jim Muth 21 Jun '03

21 Jun '03

FOTD -- June 15, 2003 (Rating 4) Fractal visionaries and enthusiasts: A day of cleaning up after the big storm, which dropped 6-1/2 inches or 16-1/2 centimeters of rain on Fractal Central in under one hour, left but little time for fractal diversion. But I did find a few spare moments, and in those moments, today's FOTD is what I found. It rates only a 4, and the render time is a dragging 20 minutes, so it is not the best value of all time. But it is worth at least a quick download. I named the image "Fractal Peaches" for reasons I have already forgotten. The formula takes Z^3 and adds 1/100 part of Z^(-99) before adding the final (1/C). The resulting parent fractal is a grossly enlarged Mandeloid rotated 180 degrees and surrounded by extended fields of chaos. Today's scene in located in the East (or in this case, the West) Valley of the parent. The less-than-superb fractal for today can be seen by running the attached parameter file and waiting 20 minutes or by down- loading the finished image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Saturday was a much improved day here at Fractal Central, for which the dynamic fractal cats were thankful. The temperature reached 88F 31C. The only rain was a light shower late in the afternoon, but by then the duo had satisfied their wanderlust. The rain is forecast to be light again today, so the cats should once again be happy. I'll be happy when I finish the clean-up from Friday. Until next FOTD, take care, and see you in 24 hours. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Fractal_Peaches { ; time=0:20:35.16--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-162.1990694820002/-0.06542605764978/10\ 64827/1/47.5/-2.81791724725255488e-007 params=1/3/\ 0.01/-99/0/0 float=y maxiter=2700 inside=0 logmap=348 symmetry=none periodicity=10 colors=000K0BN2CP3DR4DT5EV7FX8FZ9GaAHcBHeDIgEJiFJk\ GKmHKiLHfPFbTC_XAW`7Tc5R_7PX9OUAMRCKNEJKFHHHFEJEBK\ DCMDDODEQDERDFTDGVDHWDHYDI_DJ`DKbDKdDLeDMgDNiDNjDM\ kDLlDKlDJmDImDHnDHnDGoDFoDEpDDpDCqDCqCMrBWsAet9ou8\ yuEvqKtmPqiVoe_laejYjhVifWidXicYiaZi__iZ`iXahVbhUc\ hSdhQehPfhNghLhhKhiJgjIgkHfkGflFfmEenDenDdoCdpBdqA\ cq9cr8bs7bs7b9U9POOdJasEotHmtKluMkuPjvSivUhwXgw_fw\ aes_dpZdmXdjWdfVccTc`ScYRcfOkoLrkOggQYcSO_UE`XFaZF\ baGccGdeGdhHejHflHgoIhqIhsIcrJ_qJWpJSoJNnKJmKFlKBk\ KIjLPiMWhNbgOifPofPncNmaMlZKkXJjUIiSGhPFgNEfPHfRKf\ TNfVPfWSfYVf_Xfa_fbbfddffgfhjfildimcinbin`io_ipZip\ XiqWirVirTisSitRitPgqOeoNcmMaj001L_hKYfJWdIYaH__Ga\ YFKVEcTCcRBcPAcM9cK8cI7cF6dD5eB4f93g62h41i2VjjTkgS\ leQmcPnaNo_MpYLqWJsTIuRGwPFxNEzLCzJBzH9zE8zC7zA5z8\ 4z62z41z2XzKVzJUzITzISzHRzGQzGPzFOzFNzEMzDLzDKzCJz\ BIzBHzAGzAFz9Ez8Dz8Cz7Bz6 } 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 20.0 PAR-FORMULA FILE==================================

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Multifractal
by Albrecht.Niekamp＠t-online.de 21 Jun '03

21 Jun '03

Hi, here is a deep zoom, which definetly is worth waiting, I think. Fractal greetings, Al. ------------------------------start-par---------------------------------- Julia_dream { ; Time 2.01.04.11 ; Albrecht Niekamp May, 03 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mult239.frm formulaname=multifractal ismand=n function=sin/exp/sin passes=t center-mag=+0.01280533739168685/+0.78163092899207910/8375.587/1/2.499999\ 99998589262/1.41729405989110546e-011 params=-0.1738944669942329/-0.3000579851680044/768.00001/256.1133/3072.0\ 0016/768.0003200000001/768.0076800000001/64.01024/13977.52/5 float=y maxiter=3072 inside=maxiter outside=tdis logmap=7 periodicity=0 rseed=-2436 colors=200888<20>iiijjjlll<3>sss<25>BBB999777<2>222000012<24>0bo0cq0es<2\ >0jy0kz0jy<24>09C08A068<2>022000211<24>oiQqjRslS<3>zsX<25>CB7A96875<3>00\ 0400<23>o00q00s00<3>z00<25>C00A00800<3>000<3>777 } -------------------------------start-frm----------------------------------- FRM:Multifractal { ; Albrecht Niekamp 13.3.03 ;only integers as first input, second input 5 digits to the right ;real(p2) factor1,border1 ;imag(p2) (-)maxiter1,input bas.frm1_2digits input bas.frm2_2digits ;real(p3) bailout,hyb.mandel: number of sides (Many_mods L.Allison) ;imag(p3) factor2,border2 ;real(p4) maxiter2,factor3 ;imag(p4) border3,maxiter3 ;real(p5) 1digit_shape only 5digits: shape,out1,out2,in1,in2 ; 1_mand 2_jul 3_hyb.mand 4_hyb.jul +5_reset (not shape) <0_no in/out1 ; optional basic frm2: out-nbr 1digit in-nbr 1digit 3_both +5_shape ;imag(p5) 1digit : 1_iter1reset 2_iter2reset 3_both +5_shape effect ; 2digits : many_mods multipl.shutoff +10_in/out1 +20_in/out2 +30_both ; optional input2: frequency_2digits level_2digits amplitude_2digits ; d=real(p2) fac1=trunc(d) b1=(d-fac1)*100000 ; d=imag(p2) da=d<0 if (da) d=-d endif mi1=trunc(d) d=round((d-mi1)*10000) p6=trunc(d/100)/10 d=d-1000*p6 if (da) p6=-p6 endif p7=d/10 ; d=real(p3) ba=trunc(d) mm=round((d-ba)*100000) ; d=imag(p3) fac2=trunc(d) b2=(d-fac2)*100000 ; d=real(p4) mi2=trunc(d) fac3=round((d-mi2)*100000) ; d=imag(p4) b3=trunc(d) mi3=round((d-b3)*100000) ; da=real(p5) t=da<0 if (t) da=-da endif start=2-t dd=trunc(da) if (dd<5) start=0 endif vb=(dd==3)+(dd==4) da=round((da-dd)*100) d=trunc(dd/10000) vb=(d==3)+(d==4)+vb dd=dd-d*10000 d=trunc(dd/1000) or1=d>5 d=d-5*or1 vv1=(d==3) vv2=(d==4) dd1=(d==2)+(d==4) dd=dd-d*1000 d=trunc(dd/100) or2=d>5 d=d-5*or2 vv3=(d==3) vv4=(d==4) dd2=(d==2)+(d==4) dd=dd-d*100 d=trunc(dd/10) inr1=d>5 d=d-5*inr1 v1=(d==3) v2=(d==4) d1=(d==2)+(d==4) dd=dd-10*d d=trunc(dd) inr2=d>5 d=d-5*inr2 v3=(d==3) v4=(d==4) d2=(d==2)+(d==4) d=trunc(da/10) da=da-10*d ab=d>=5 d=d-5*ab bb1=(d==1) bb2=(d==2) dd=da>=5 da=da-5*dd ab=ab+dd ab1=(da==1) ab2=(da==2) ; d=imag(p5) dd=trunc(d) d=round((d-dd)*1000000) le=d>10000 da=trunc(dd/10) so1=((da==1)+(da==3)==0) so2=((da==2)+(da==3)==0) dd=dd-10*da wo=dd>=5 dd=dd-5*wo ir1=(dd==1)+(dd==3) ir2=(dd==2)+(dd==3) if (le) freq=round((trunc(d/10000))*10) ;frequency_lake effect by S.Gallet d=d-freq*1000 level=(trunc(d/100))/100 ;water level d=d-level*10000 ampl=d/100 ;amplitude of the wave 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)) d3=2*q*t rs=2*bo*(dd+flip(1))*t z2=center+(-q-bo*dd-flip(bo))*t z=pixel-z2 d=imag(conj(d3)*z)/imag(conj(d3)*rs) if (d<=level) da=level-d z=z+2*da*(1+ampl*sin(freq*da^0.2))*rs endif z=z+z2 endif if (ismand) if (vb) c=0.4*log(sqr(pixel^mm)) z=z*le else c=z*le+pixel*(le==0) z=0 endif else c=p1 z=z*le+pixel*(le==0) endif t=0 d3=(ismand==0) u=d3 : if (vb) if (d3) z=(z*z-real(c))^(z*u+imag(c)) else z2=fn1(z)+c ;Linda Allison q=cos(z2) z=c*(1-q)/(1+q) endif elseif (ab) z=z*z+c+c*c-p7 ;Pusk s Istv n elseif (d3) z2=z*z z=z2*z2+(p6+u)*z2+c else z2=z*z ;Pusk s Istv n z=z2*z2+(p6+u)*z2+c-p1 endif bo=|z| If (wo) t=t+1 if ((t<mi1)+(bo>b1)) u=2*(fn1(t/fac1)) if (ismand) z=z*u if (vb) c=0.4*log(sqr(pixel^mm)) else c=z*le+pixel*(le==0) endif else z=z*le+pixel*(le==0) c=p1*u endif wo=0 if (ir1) t=0 endif endif elseif (start) t=t+1 if (start==2) if (bo>b2) u=2*(fn2(t/fac2)) rs=or1 ab=bb1 if (dd1) if (rs) z=pixel endif c=p1*u vb=vv2 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=vv1 if (vb) if (so1) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif start=1 endif elseif (t>mi2) u=2*(fn2(t/fac2)) rs=inr1 ab=ab1 if (d1) if (rs) z=pixel endif c=p1*u vb=v2 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=v1 if (vb) if (so1) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif endif start=1 if (ir2) t=0 endif endif elseif (bo>b3) u=2*(fn3(t/fac3)) ab=bb2 rs=or2 if (dd2) if (rs) z=pixel endif c=p1*u vb=vv4 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=vv3 if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif start=0 endif elseif (t>mi3) u=2*(fn3(t/fac3)) ab=ab2 rs=inr2 if (d2) if (rs) z=pixel endif c=p1*u vb=v4 d3=vb else d3=0 z=z*u c=z if (rs) z=0 endif vb=v3 if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) endif endif start=0 endif endif bo<=ba } --------------------------------------------end---------------------------

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Re: [Fractint] "translating" animations to mpeg
by Russell Walsmith 20 Jun '03

20 Jun '03

See http://www.sonic.net/~jot/ufvp.html Cheers, Russell -- --------- Original Message --------- DATE: Fri, 20 Jun 2003 14:02:08 From: Danilo Spada <danilo.spada(a)unimi.it> To: fractint(a)mailman.xmission.com Cc: >Hello ! > >I'm a new member of this mailing list and here I am with a question. > >We are making a research in neuropsychology, and we should use the >"evolutions" of a fractal (probably "Julia"). The problem is that we >should use an animation in mpeg or avi. >Is it possible to get the output by fractint to a file.mpeg or .avi ? > >Thank You very much for any hint. > >Bye bye, >Danilo > >PS >I'm a Linux - Debian user > >-- >Dott. Danilo Spada >Istituto di Psicologia della Facolta' medica >Universita' degli Studi di Milano - Italia >(Studio) 02 / 50 31 59 91 >(Cell.) 328 / 61 78 382 > > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

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"translating" animations to mpeg
by Danilo Spada 20 Jun '03

20 Jun '03

Hello ! I'm a new member of this mailing list and here I am with a question. We are making a research in neuropsychology, and we should use the "evolutions" of a fractal (probably "Julia"). The problem is that we should use an animation in mpeg or avi. Is it possible to get the output by fractint to a file.mpeg or .avi ? Thank You very much for any hint. Bye bye, Danilo PS I'm a Linux - Debian user -- Dott. Danilo Spada Istituto di Psicologia della Facolta' medica Universita' degli Studi di Milano - Italia (Studio) 02 / 50 31 59 91 (Cell.) 328 / 61 78 382

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FOTD 18-06-03 (Ker-splash [6])
by Jim Muth 19 Jun '03

19 Jun '03

FOTD -- June 18, 2003 (Rating 6) Fractal visionaries and enthusiasts: Today's image is another scene in the East Valley area of the parent fractal of yesterday's image. Many of the same elements are there, but with the outside being rendered with the 'fmod' option, today's image is different enough to stand on its own merits. Today's rating of 6 is a big come-down from yesterday's perhaps- overblown rating of 9. It is still worth a look however. The colors, which are not nearly as finely tuned, still get the point across. When I studied the image, searching for a name, I had the impression of a Mandelbrot set being dropped into a body of colored liquid, creating a huge splash. What could I possibly have named the image other than "Ker-splash"? Curiously, if the bailout radius of today's image is raised to 10^100, the image evaporates, leaving a blank screen of all- inside points. Then, if the 'fmod' inside-fill option is applied to the blank image and the proximity is kept at 0.9, today's image will re-appear, the only difference being that instead of rendering in 13 minutes, it now takes an hour to render, and the inside of the midget now contains detail. The fastest way to observe today's inside-or-outside image is to download it in completed form from either Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from Scott's web site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Clouds hung around all day Tuesday. The sprinkles that began at 1pm turned into a steady rain by 6pm. The temperature reached 66F 19C, but what good is a pleasant temperature when rain is falling? The dynamic duo thought it was no good at all, and quickly turned sulky, demanding a treat of tuna before resuming their good spirits. Since this morning is cloudy with more rain promised, I had best stock up on the tuna. The heavy clouds do not relieve me of the duty of doing the waiting work however, so if I hope to finish, I had best get started. Until next FOTD, take care, and watch for lurking fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Ker-splash { ; time=0:13:16.68--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.02507098225420995/+0.507300152811625\ 00/24216.06/1/-60/4.61438734444818976e-011 params=1/-1.08/-1/1/0/300 float=y maxiter=1200 inside=0 proximity=0.9 outside=fmod logmap=yes periodicity=10 sound=off colors=0003tk2sh3qf3oe3mc3kb3i`4g_4eY4cX4aV4_U5YS5\ WR5VQ5TO5RN6PL6NK6LI6JH6HF7FE7DC7BB799778444767979\ B8CE9EGBHICJLDMNEOPFRSHTUIWWJYZK``LbbNeeOggPjiQliL\ wjOrkRnlTimWenY`o`XpbSqeOrgJsjFun8tm9tlAtlBtkCtkCt\ jDtiEtiFshFshGsgHsfIsfIseJseKsdLtfKseLsdLscLrbMraM\ r`Mr`Mq_NqZNqYNqXNpWOpVOpVOpUOoTPoSPoRPnQQnPQnPQnO\ QmNRmMRmLRmKRlJSlJSlISlHSkGTkFTkETjDUjDUjCUjBUiAVi\ 9Vi8Vi7Vh7Wh6Wh5Wh4Wg3Xg2Xg1Xh0Yg1Xg1Wg1Vf2Vf2Uf2T\ e2Te3Se3Re3Rd3Qd4Pd4Oc4Oc4Nc5Mb5Mb5Lb6Kb6Ka6Ja6Ia7\ H`7H`7G`7F_8F_8E_8D_1B_4CZ6CY8DXBDWDEVFEUHEUIFUJGU\ KHUKIUKJUKKUKLUKMUKNUKOUKPUKPUKQUKRUKSSKTQKUOKVMKW\ KKXKKYKKZKKYKKZKKZKK_KK_KK`KK`KK`KKaKKaKHbKFbKDcIB\ cD6eE7dF8cG9cGAbHAaIBaJC`JD_KD_LEZLFYMGYNGXOHXOIWP\ JVQJVQKURLTSMTTMSTNRUORVPQVPQWQPXROYSOYTNZTM_UM`VL\ `WKaWKbXJbYIcZIdZHe_He`GfaFgaFgbEhcDidDjdCjeBkfBlg\ AlgBlgAlgAm`AoVApPAoPAnPA } 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 20.0 PAR-FORMULA FILE==================================

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"CONJAG8" BUG recovery
by Jim White 19 Jun '03

19 Jun '03

Hello fractitioners! I gather from postings by Sylvie Gallet and Tim Wegner that the Fracint development team is aware of this problem. I've looked long and hard at CONJAG8 as it affects MandelbrotMix4, and I believe there is no cause for alarm, the side-effects of CONJAG8 are simply that you get a totally accurate image of the reflection of your target window. I wouldn't classify this as an artifact - the detail of the image is unaffected, only its real window. Any images you have now involving MandelbrotMix4 (and its siblings) will easily be reproduced by reflecting the corners vertically, and optionally rotating the image by 180 degrees. A simple text editor macro or program could make thse changes to batches of parameter sets using the affected formulae. >From a mathematical viewpoint, this sort of error is not likely to cause widespread artifacts. Many fractals are symmetric about the imaginary axis anyway, and your original image might simply be inverted. Getting the imaginary sign wrong doesn't affect magnitudes, which are the most common form of escape conditions. The problem with accidental reflections only becomes a nuisance if the image is not symmetric about the Y axis. Of course it is possible that we will find real artifacts in some formulae. I think they'll be quite rare, but I actually hope I find some, because that might mean finding a "lost twin" for some interesting image, and who knows what that twin is going to look like! Meanwhile, the best way to look for possibly affected formulae is to run comparison tests on a few sample images for any given formula. People can use UF or CPro, and I have my own Fractint engine emulator that I can run in debug mode, which makes it easy for me to to run a "health check" on any formula people care to nominate. I can easily test various classes of formulae to see if there is any sign of suspect behaviour. Send your requests to me! Cheers Jim White __________________________________________________ Yahoo! Plus - For a better Internet experience http://uk.promotions.yahoo.com/yplus/yoffer.html

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FOTD 19-06-03 (Cyclonic Circulation [7])
by Jim Muth 19 Jun '03

19 Jun '03

FOTD -- June 19, 2003 (Rating 7) Fractal visionaries and enthusiasts: In the northern hemisphere the atmosphere turns counter- clockwise as it is drawn into a cyclone and clockwise as it is pushed from an anticyclone. In the southern hemisphere exactly the opposite is true. But Fractal Central is located in the northern hemisphere, and since the arms of today's spiral image are moving inward in a counter-clockwise direction and curving to the left as they go, the image can only be called "Cyclonic Circulation". When the atmosphere curves to the left in the northern hemisphere, it causes low-level convergence, which forces the air upward and squeezes any available moisture from it. We have had a lot of convergence at Fractal Central over the past two months, where only 2 of the past 60 days have been clear. People are joking that the farmers prayed for rain all last year, and their prayers are being answered all this year. Now the farmers are praying for dry weather so they can work their fields. Worried about next year, my advice is for them to make their prayers more specific. On a more fractal note, the formula of today's image mixes 1.2 negative portions of Z^(1.4) with 0.3 parts of Z^(-0.8) and adds (1/C). It was calculated by the MandelbrotMix2 formula, which is identical to the MandelbrotMix4 formula, except that it includes the ability to change the automatically calculated value of initial Z. It's a rather lively image, enhanced by a brilliant palette of colors. With other color palettes, the image actually reminds me of rows of shark's teeth, but a man-eating name would give a wrong impression, so I chose the palette that reminds me of a cyclone, and rated the image at a 7. The 4-minute render time is within reason for an image that rates a 7. And as always, the completed GIF file is available for download on Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and on Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Though the clouds hung tough on Wednesday, a bit of afternoon sun did manage to break through, the rain held off, and the temperature reached 75F 24C. As a result, the fractal cats were happy and I saved a can of tuna. If only today could turn out as well...but with rain having already fallen and more due, it most likely will not. The cats are still sleeping, but before long they will get up, go to the door and ask to be let out. They will then see the rain and turn moody. I fear tuna will be necessary. Finishing the day's work will also be necessary, but before I finish, I must start. Until next FOTD, take care, and keep dry, that is if possible. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ CyclonicCirclation { ; time=0:04:04.58--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=-0.74981462059503250/+0.015225453504671\ 47/3.458564e+011/1/-106/-0.0139524412207075732 params=-1.2/1.4/0.3/-0.8/0/525/0/0 float=y maxiter=500 inside=0 logmap=80 periodicity=10 colors=070070070070070070070472AAAEEHJPPPTVVWb`_id\ dqikxoqzutzzwzzzzv_uoCPg70d74b7EZ7LX7VV7bR7kPHsNRz\ J_zHizGszEszEizC_zCRzCHzA7zA7z87v87s8Co6Gk6Hg4Ld4P\ `4RZ8TTCVNEXHHYEL_8N_2Ra0Vd0Xe0`g0di0ei0bk0`m0Zo0X\ o0Vq0Ts0Ru0Pu4Nv8LxCJzGHzJGzNEzRCzVAzZ8zb6ze4zi8zg\ AzgCzgGzgHzgJzgNzgPzgRzgVzgXzgZzg`zgXzeVzdTzdRzbPz\ `Nz`LzZHzXGzXEzVCxTAvT8uR6sP2oP0mN0kL0gL0eJ0dH0aH0\ eG0iE6oCCsAGv6Lz4Pz2Vz0`z0dz0iz0mz0kz0kz6kzCkzJkzP\ kzVkz`kzgkzmkzskzxmzzozzqxzsvzuozwmsymdzmPzmAzm0zm\ 0zm0zm0zm0zm0zm6zmAzmGzqJzvPzzTzzXzzZzz`zzbzzdzzez\ zgzzizzkzzmzzmzzozzqzzszzuzzvzzxzzzzzzzzzzzzzzzzzz\ zzqzzizz`zzTzzLzzCzz4zz0zz0zz0zz0zz0zz0zz0zz6zzAzz\ GzzJzzZzzkzzgzzdzzbzzZzzXzzTzzRzzNzzLzzHzzGzzCzzAz\ z6zz4zz0zz0zz0zz2zz4zz6zz8zz8zzAzzCzzEzzGzzHzzHzzJ\ zzLzzNzzPzzRzzRzzNzzJzzHzzEzzAzz8zz4zz0zz0zz0zz0zz\ 0zz0zz4zz8zzAzzEzzHzzLzzP } frm:MandelbrotMix2 {; 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 20.0 PAR-FORMULA FILE==================================

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Multifractal_4
by Albrecht.Niekamp＠t-online.de 18 Jun '03

18 Jun '03

Hi, phantastic zooming guaranteed! Fractal greetings, Al. -------------------------start-par----------------------------------------- Volcano { ; Time 2.07.11.52 ; Albrecht Niekamp June, 03 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mult242.frm formulaname=multifractal_4 ismand=y function=exp/exp/exp/sin passes=t center-mag=-1.23168781966593200/+0.12096646185174940/4495980/1/-17.49999\ 99991595914/-3.40947790139489726e-009 params=-0.8469801934873501/0.1406598101748711/12812.00011/40.3214026052/\ 2048.02048/384.000008/384.00024/128.0076800000001/512.0076800000001/768.\ 0076800000001 float=y maxiter=2048 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=200ZVI<7>niQpjRrlS<3>ysX<25>BB7996775<3>000<24>n00p00r00<3>y00<25\ >B00900700<3>000<2>455677899ABBBCC<18>hiiijjkll<3>rss<21>HIIFGGEFF<3>677\ 455344122000<25>0bo0cq0es<3>0kz<25>09C08A068<2>022000111<15>XUH } Down_under { ; Time 1.58.44.34 ; Albrecht Niekamp June, 03 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mult242.frm formulaname=multifractal_4 ismand=y function=exp/exp/exp/sin passes=t center-mag=-1.23169094319349200/+0.12096267609571690/224799/1/-17.499999\ 9990956674/-8.80199038655327115e-010 params=-0.8469801934873501/0.1406598101748711/12812.00011/40.3214026052/\ 2048.02048/384.000008/384.00024/128.0076800000001/512.0076800000001/768.\ 0076800000001 float=y maxiter=2048 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=200996<3>121000300<23>n00p00r00<3>y00<25>B00900700<3>000<2>455677\ 899ABBBCC<18>hiiijjkll<3>rss<21>HIIFGGEFF<3>677455344122000<25>0bo0cq0es\ <3>0kz<25>09C08A068<2>022000111<24>niQpjRrlS<3>ysX<25>BB7 } Three_in_one { ; Time 1.32.14.39 ; Albrecht Niekamp June, 03 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mult242.frm formulaname=multifractal_4 ismand=y function=exp/exp/exp/sin passes=t center-mag=-1.23278506460602800/+0.12137156609200910/561.9975/1/-85.0000\ 000000003553/4.45664338766249557e-013 params=-0.8469801934873501/0.1406598101748711/12812.00011/40.3214026052/\ 2048.02048/384.000008/384.00024/128.0076800000001/512.0076800000001/768.\ 0076800000001 float=y maxiter=2048 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=2000bo<3>0hw0jx0kz<25>09C08A068<2>022000111<24>niQpjRrlS<3>ysX<25\ >BB7996775<3>000<24>n00p00r00<3>y00<25>B00900700<3>000<2>455677899ABBBCC\ <18>hiiijjkll<3>rss<21>HIIFGGEFF<3>677455344122000<24>0`m } Above_and_below { ; Time 1.06.53.23 ; Albrecht Niekamp June, 03 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mult242.frm formulaname=multifractal_4 ismand=y function=exp/exp/exp/sin passes=t center-mag=-1.23177131869359900/+0.12093733379787740/11239.95/1/-17.4999\ 999999981881/2.76966574674908372e-011 params=-0.8469801934873501/0.1406598101748711/12812.00011/40.3214026052/\ 2048.02048/384.000008/384.00024/128.0076800000001/512.0076800000001/768.\ 0076800000001 float=y maxiter=2048 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=0001221532653863A84DA5EB5HB<2>7NG8PI8RJ9TKAVNAXM<3>DdTDfVEhWFjYFl\ YGn_Gp`Prd<3>zzz<2>_ulRsgHqaHo`GmZFkXFiX<5>BYOAWMAUL9SK<4>6IC5GB5DA<3>25\ 4243121000001023025047049<5>0BL0DN0DP<4>0KZ0L`0Mb0Nd0Of0Qh<3>0Up4Yr8atCg\ vGkxKqz<3>4_s0Vq0Uo<12>0FQ0DO0DM<3>08E06C06A048046024012000100<12>R0LT0N\ V0PX0P<3>d0Wf0Yh0Z<3>p0e<3>xOtzUxyOuwIquCns6iq0g<2>k0bi0`g0_e0Z<3>Y0SW0R\ U0O<5>I0FG0EE0CC0A<3>304102010<4>0B10D10F10H20J20L20N2<2>0T40V40X3<3>0d4\ 0f50h5<3>0p6<3>WxZczeUyY<2>0s8<4>0i60g60e60c4<2>0Y40W30U4<5>0I20G20E20C2\ 0A1081<3>000010 } View_frm_the_top { ; Time 0.44.18.06 ; Albrecht Niekamp June, 03 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mult242.frm formulaname=multifractal_4 ismand=y function=exp/exp/exp/sin passes=t center-mag=-1.04386/0.626322/21.95303/1/-57.4999999999999574/-1.26836041\ 669520228e-013 params=-0.8469801934873501/0.1406598101748711/12812.00011/40.3214026052/\ 2048.02048/384.000008/384.00024/128.0076800000001/512.0076800000001/768.\ 0076800000001 float=y maxiter=2048 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=000A0B<6>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2o\ a0wc<11>2TG2RE3OC<3>4D3<17>kkammcpoe<3>zwm<6>cYO`UKYQG<3>KA0000<43>000<4\ >000330<11>110110110<3>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci\ 0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000304708 } The_hat2 { ; Time 0.19.22.94 ; Albrecht Niekamp June, 03 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mult242.frm formulaname=multifractal_4 ismand=y function=exp/exp/exp/sin passes=t center-mag=-0.958374/0.132535/1.404994/1/-90/-1.23373533611470521e-014 params=-0.8469801934873501/0.1406598101748711/12812.00011/40.3214026052/\ 2048.02048/384.000008/384.00024/128.0076800000001/512.0076800000001/768.\ 0076800000001 float=y maxiter=2048 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=000<3>0PP0VV0``<3>0zz<3>MawRWvXQv<3>r0r<3>X0XS0SM0M<3>000<43>000<\ 3>000111333<23>nnnppprrr<3>zzz<25>CCCAAA888<2>222000000<33>000000000<3>0\ 00Z0AU00<3>d00g00j00m00<3>c0P`0VZ0`W0fT0m<3>I0MF0FA0A505000<39>qqqsssttt\ <3>zzz000 } ----------------------------------start-frm-------------------------------- FRM:Multifractal_4 { ; Albrecht Niekamp 110603 ;only integers as first input, second input 5 digits to the right ;real(p2) 5digits: shape, outside, in1, in2, in3 ; 0_off 1_mand 2_jul 3_hyb.mand 4_hyb.jul +5_reset digit1: +5_warp ; input2 : five digits frm2 use : 0_no 1_yes ;imag(p2) (-)digit1 : many_mods multipl. off 1_out 2_in1 3_in2 4_all ; digit2 : iter-reset 1_out 2_in1 3_in2 4_all ; input2 : many_mods_2digits frm1_2digits frm2_2digits bees_4digits ;real(p3) many_mods bailout, bailout ;imag(p3) shape : factor (fn1), outside : border-in ;real(p4) outside : factor (fn2), border-out ;imag(p4) maxiter1, factor1 (fn2) ;real(p5) maxiter2, factor2 (fn3) ;imag(p5) maxiter3, factor3 (fn4) ; da=real(p2) dd=trunc(da) da=round((da-dd)*100000)+11111 d=trunc(dd/10000) ex0=d>5 d=d-5*ex0 vb=(d==3)+(d==4) dd=dd-d*10000 d=trunc(dd/1000) ex1=d>0 dd=dd-d*1000 rs1=d>5 d=d-5*rs1 v1m=(d==3) v1j=(d==4) dd1=(d==2)+(d==4) d=trunc(dd/100) ex2=d>0 dd=dd-d*100 rs2=d>5 d=d-5*rs2 v2m=(d==3) v2j=(d==4) dd2=(d==2)+(d==4) d=trunc(dd/10) ex3=d>0 dd=dd-d*10 rs3=d>5 d=d-5*rs3 v3m=(d==3) v3j=(d==4) dd3=(d==2)+(d==4) ex4=dd>0 rs4=dd>5 dd=dd-rs4*5 v4m=(dd==3) v4j=(dd==4) dd4=(dd==2)+(dd==4) tt=ex0+ex1+ex2+ex3+ex4 ; d=trunc(da/10000) ab=(d==2) da=da-d*10000 d=trunc(da/1000) ab1=(d==2) da=da-d*1000 d=trunc(da/100) ab2=(d==2) da=da-d*100 d=trunc(da/10) ab3=(d==2) da=da-d*10 ab4=(da==2) ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) d=round((d-dd)*10000000000) da=trunc(dd/10) so1=((da==1)+(da==4)==0) so2=((da==2)+(da==4)==0) so3=((da==3)+(da==4)==0) dd=dd-10*da ir1=(dd==1)+(dd==4) ir2=(dd==2)+(dd==4) ir3=(dd==3)+(dd==4) ; mm=trunc(d/100000000) d=d-mm*100000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=real(p3) mb=trunc(d) ba=(d-mb)*100000 ; d=imag(p3) sfac=trunc(d) b1=(d-sfac)*100000 b0=b1/2 ; d=real(p4) ofac=trunc(d) b2=(d-ofac)*100000 ; d=imag(p4) mi1=trunc(d) fac1=(d-mi1)*100000 ; d=real(p5) mi2=trunc(d) fac2=(d-mi2)*100000 ; d=imag(p5) mi3=trunc(d) fac3=(d-mi3)*100000 ; bg=((ab+vb)==0) bg1=((ab1+v1j)==0) bg2=((ab2+v2j)==0) bg3=((ab3+v3j)==0) bg4=((ab4+v4j)==0) ; if (ismand) z=0 if (vb) c=0.4*log(sqr(pixel^mm)) else c=pixel endif else if (bg) c=p9 else c=p1 endif z=pixel endif t=0 d3=(ismand==0) u=d3 : bo=z If (tt) t=t+1 if ((ex0)&&bo>b0) u=2*(fn1(t/sfac)) if (ismand) z=z*u if (vb) c=0.4*log(sqr(pixel^mm)) ba=mb else c=pixel endif else z=pixel if (bg) c=p9*u else c=p1*u endif endif ex0=0 tt=tt-1 elseif ((ex1) && bo>b1 && bo<b2) u=2*(fn2(t/ofac)) rs=rs1 ab=ab1 if (dd1) if (rs) z=pixel endif vb=v1j d3=1 if (bg1) c=p9*u else c=p1*u endif else d3=0 z=z*u c=z if (rs) z=0 endif vb=v1m if (vb) if (so1) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif if (ir1) t=0 endif ex1=0 tt=tt-1 elseif ((ex2) && t>mi1) u=2*(fn2(t/fac1)) rs=rs2 ab=ab2 if (dd2) if (rs) z=pixel endif vb=v2j if (bg2) c=p9*u else c=p1*u endif d3=1 else d3=0 z=z*u c=z if (rs) z=0 endif vb=v2m if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif if (ir2) t=0 endif ex2=0 tt=tt-1 elseif ((ex3) && t>mi2) u=2*(fn3(t/fac2)) ab=ab3 rs=rs3 if (dd3) if (rs) z=pixel endif vb=v3j if (bg3) c=p9*u else c=p1*u endif d3=1 else d3=0 z=z*u c=z if (rs) z=0 endif vb=v3m if (vb) if (so3) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif if (ir3) t=0 endif ex3=0 tt=tt-1 elseif ((ex4) && t>mi3) u=2*(fn4(t/fac3)) ab=ab4 rs=rs4 if (dd4) if (rs) z=pixel endif vb=v4j if (bg4) c=p9*u else c=p1*u endif d3=1 else d3=0 z=z*u c=z if (rs) z=0 endif vb=v4m if (vb) if (so2) mm=mm+mm endif c=0.4*log(sqr(pixel^mm)) ba=mb endif endif ex4=0 tt=tt-1 endif endif if (vb) if (d3) z=(z*z-real(c))^(z*u+imag(c)) else z2=fn1(z)+c ;Linda Allison q=cos(z2) z=c*(1-q)/(1+q) endif elseif (ab) z=z*z+c+c*c-p7 ;Pusk s Istv n elseif (d3) z1=fn1(z)-c ;Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) else z2=z*z ;Pusk s Istv n z=z2*z2+(p6+u)*z2+c-p1 endif |z|<=ba } --------------------------------end---------------------------------

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