May 2003 - Fractint - mailman.xmission.com

Re: [Fractint] Multifractal
by Mark Christenson 21 May '03

21 May '03

At 10:55 PM 5/19/03 -0600, Lee H. Skinner wrote: >Ricardo M. Forno wrote: >>> Hi! >>I'm curious. How do you know that a pixel is "buggy"? > >After the showdot hits a buggy pixel, every pixel after that is colored >the same. And the showdot usually slows down as if every pixel had the >value maxiter. And it continues if you change passes or resolutions! >You have to exit fractint and then restart it. I've not seen it in >other than the multifractal formula. I'm told it only happens at >1600x1200. So far, no one knows the cause. Maybe I'm barking up the wrong tree, but when I have encountered this it is usually caused by periodicity checking and can be cured by turning it off. What the exact cause is I have no idea. It occurs under certain conditions (hitting a point inside the set, plus some unknown factor) with certain fractal formulas (my "gravijul" being one). Aloha, Bud

2 1

Multifractal
by Albrecht.Niekamp＠t-online.de 20 May '03

20 May '03

Hi, here are 3 more zooms with into the easter-eggs image with different settings. Fractal greetings, Al. --------------------------start-par---------------------------------------- Fractal-central { ; Time 0.39.19.50 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mult239.frm formulaname=multifractal ismand=y function=cosxx/exp/exp passes=t center-mag=-1.57408/0.154265/15.99346/1/95/1.31075705844807544e-014 params=-0.8940855128635518/0.8105868709372235/384.00001/256.1133/4094.00\ 016/768.0003400000001/768.0076800000001/256.01024/18937.52/5 float=y maxiter=3072 inside=maxiter outside=tdis logmap=7 periodicity=0 rseed=-2436 colors=200444222000<25>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<24>oiQqj\ RslS<3>zsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000<2\ 5>iiijjjlll<3>sss<25>BBB999777555 } Wonderland2 { ; Time 0.41.12.14 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mult239.frm formulaname=multifractal ismand=y function=sin/exp/exp passes=t center-mag=-1.59327/0.155944/14.26617/1/95/3.85524945301085609e-014 params=-0.8940855128635518/0.8105868709372235/384.00001/256.1133/4094.00\ 016/768.0003400000001/768.0076800000001/256.01024/18937.52/5 float=y maxiter=3072 inside=maxiter outside=tdis logmap=7 periodicity=0 rseed=-2436 colors=200444222000<25>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<24>oiQqj\ RslS<3>zsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000<2\ 5>iiijjjlll<3>sss<25>BBB999777555 } Warp-nine { ; Time 0.54.00.28 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mult239.frm formulaname=multifractal ismand=y function=exp/exp/exp passes=t center-mag=-1.18936/0.117529/13.33333/1/-85.0000000000000142/3.855249453\ 01085609e-014 params=-0.1738944669942329/-0.3000579851680044/768.00001/256.1133/4094.0\ 0016/768.0003400000001/768.0076800000001/64.01024/18937.52/5 float=y maxiter=3072 inside=maxiter outside=tdis logmap=7 periodicity=0 rseed=-2436 colors=200444222000<25>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<24>oiQqj\ RslS<3>zsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000<2\ 5>iiijjjlll<3>sss<25>BBB999777555 } -----------------------------------------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 }

2 1

Re: SSTOOLS.INI
by JackOTradez 20 May '03

20 May '03

Martin - SSTOOLS.INI is a parameter/initialization file used by Fractint and the Windoze version, Winfract. A skeleton version is installed by default, but you can edit/modify it in any text editor like notepad. It can be quite usefull. At the DOS prompt, type: FRACTINT MAKEDOC and hit ENTER key. You will create a 600K DOC file that can be read in any text editor or word program. It can be a bit overwhelming at first, but in it is everything, and I mean everything, you ever wanted to know about Fractint. It will also tell you all you need to know about sstools.ini. Here is one of mine: [Fractint] Passes=1 ;drawing method, slowest but most accurate Corners= ;forces corners definition instead of center-mag FillColor=0 ; Float=Yes ;forces floating point calculation - most accurate Inside=0 ;lake color algorithm - black Outside=Iter ;colors as function of iteration Maxiter=2110000000 ;maximum iterations. best image, but takes longer Video=F3 ;video mode from fractint.cfg file Map=MDMA ;color map used LogMap=2 ;coloring algorithm best for deep zooms Savename=x000.gif ;name of gif file if you save it Sound=Off ;no sound when picture finishes Have Fun JoTz

1 0

FOTD 20-05-03 (Vision Obious [8])
by Jim Muth 20 May '03

20 May '03

FOTD -- May 20, 2003 (Rating 8) Fractal visionaries and enthusiasts: Today's image, with its infestation of tiny dot-like areas of chaos, rates an 8. In my opinion at least, it is an exceptional image, perhaps the best yet to come from the May parent fractal. The scene is located in a disconnected area of chaos in the left part of the parent fan, at a point in a vague spiral where two rings almost touch. The trip back out to the surface of the parent will reveal all these features and is quite amusing. But be sure to reset the logmap to 0 before starting the trip. The image's name "Vision Obious" is the name of an old computer animation from the 1980's. I forget who created the original animation, though an internet search will probably turn it up in some library somewhere. For some reason the image reminds me of this animation, though I can't say why. And no, the word 'obious' is not a mis-spelling of 'obvious'. Usually, the better images take the longest time to render, but today's image is an exception to that rule. Not only is it better, it is faster as well. It renders in less than 9 minutes on my Pentium-200 machine. On newer faster machines it will render in even less time. The fastest way of all to view the image is to download it from the internet. It is available on Paul's web site, which can be accessed 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> The weather was absolutely perfect here at Fractal Central on Monday. Nothing but blue sky and sun was visible from morning until evening, and the temperature of 72F 22C was all a duo of fractal cats could ask for. Being fractal in nature, the duo took full advantage of the ideal conditions, spending almost six hours alternating between porch and yard. This morning, unfortunately, the clouds in advance of the next rain are already on the horizon. The duo might get in one more pleasant day, but after today, no more sun or dry weather is expected until next week sometime. Regardless of the weather, the work goes on however. And it's time to get busy. So until next FOTD, take care, and everything is ultimately chaotic in nature. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Vision_Obious { ; time=0:08:42.34--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=+2.87750361369992900/+1.639815171435586\ 00/1.878522e+008/1/-12.5/-0.000239196080041567671 params=-10/-1.1/-1/-11/0/525/0/0 float=y maxiter=1200 inside=0 logmap=167 periodicity=10 colors=00030440550660771882993AA4BB5CC6DD7EE8FF9GG\ AHHBIKDJMELOFMRGNTHPVIQXJRZMT_OVaQXbSZdU`eWbgYdh_f\ jahkcjmelngnpipqkrsmtsmtomsjkqeio`gmWelRcjMahH_fDY\ eEVcFTaGQ_HAZGHYGNXFTXFZWEdWEjVEpVFrRGsNHuJIuFHtEG\ rDFpDFoCEmBDkBCiACh9Bf9Ad8Ac8f83bD4ZI5VN5SS6OX7Ka7\ Gf8Dj8Hg9LdAOaASZBVWCZTCaQDeNEhKE_woYtmXrlWpkVnjUk\ iSigRgfQeePbdO`cMZaLX`KU_JSZIQYHOXELYCIZ9F_7C`CBaH\ AbMAcR9dW9e`8fe8gj7ho7it6jy6ju8iq9hnAhjCggDgcEf_Gf\ XHeTIeQKdMLdIMcFOcBPb8QbVDNSIOQMPOQPLUQJYQHaRFeRCi\ SAmS8qT6uTKiRYYPkMNyALwCPuETsGWrI_pKbnMflOikQmiSpg\ UtfWweWvdXvdXvcXvbYvaYuaYu`Zu_Zu_ZuXXtVWsDLjTUrQTq\ ORpMQoJOnHNmFLlCKkAIj8Hi80772A73D74G75J76L77O78R6A\ U6BX6CZ6Da6Ed6Fg61h65i69i6DiqtEgkLYcRPeYFgcqimgklY\ mkPojFqiSs3Qt7OuANvDLwGKxJIyMHzPFzSDzVCzYAz`9zc7zf\ XzyJzqnz8izDdzH_zLVzPQzULzYGzaBzeDzFCzIBzKBzNAzPAz\ R9zU9zW8zZ8z`ezdazaYzZVzW } 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==================================

1 0

SSTOOLS_INI File
by Martin Dove 20 May '03

20 May '03

Hello Fractint List! I have a couple of questions about the sstools.ini file: What is it? How is it created? Can it be edited? Where can I get documentation about it's contents & structure? Where can I get a sample? tia, Martin

2 1

FOTD 19-05-03 (Whirling Dervishly [6])
by JimMuth＠aol.com 19 May '03

19 May '03

FOTD -- May 19, 2003 (Rating 6) Fractal visionaries and enthusiasts: To my eyes, today's vision from the parent fractal appears to be whirling in a clockwise direction, so I named it "Whirling Dervishly". This name has no connection to the remote religious sect whose members work themselves into a religious ecstasy by a spinning dance. It is simply a spontaneous verbalization of my initial impression of the whirling spiral image. The scene is located in the May-parent, deep in the handle of the fan, on the fan side of the point where the handle is pinched off. This area holds numerous areas that are trying to shape themselves into Mandeloid features, though not all of them are making it. Today's scene, with its tiny midget, lies far out on a filament that leads from a proto-Mandeloid bud into a spiral basin. As for rating, today's image is a come-down from yesterday's, but it still rates a little above average 6, whatever average means. The render time of 19 minutes is trying. As always, the wait can be cut to a minute or so by downloading the finished product from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Rain Sunday morning here at Fractal Central left the grass too wet for the tender paws of the dynamic duo. A temperature of 55F 13C made it too chilly for the rest of their bodies. After a brief afternoon check of outdoor conditions, they passed the rest of the day sleeping on the couch. A treat of tuna in the evening brought only a bit of consolation to the otherwise disconsolate duo. Today is starting sunny, and after a very chilly start, promises to be warmer. For the fractal cats this is good news; for me it makes little difference. I will be quite busy most of the day. Until next FOTD in 24 hours, take care, and seek fractal salvation. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Whirling_Dervishly { ; time=0:19:11.24--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=+0.34961797486433630/-0.004768779208217\ 24/5.021491e+007/1/180 params=-10/-1.1/-1/-11/0/52\ 5/0/0 float=y maxiter=1700 inside=0 logmap=403 periodicity=10 colors=000V10T33S46Q58P6BN8EM9GLAJJBMIDOGERFFUBEVE\ GWHIXKJYMLZPN_SO`UQ`XSa_TbaVcdWdgYei_el`fobgqdhtei\ wgjyhjvgksgkpfkmflkelheledmbdm_cmYcnVbnSbnPaoMaoI`\ rKaoMalNbiPbfQccSc`TcYVdVXdSYeP_eM`fJbfGfgEcfDafD_\ fDXfCVfCTfCQfBOfBMeBJeAHeAFeACe9Ae98e99cr6e9AdADdA\ GdBJcBMcBPcCSbCVbCZbDabDdaDgaEjaEm`Ep`Fs`FzaDv`Fr`\ Go`Hk`Ig`Jd`L``MX_NU_OQ_PM_RJ_SF_TB_U8_VAYTBXSCWRE\ UQFTOGSNIQMJPLKOJLNINLHOKGPJERHDSGCTFBRC9UEAXFB_GB\ aICdJDgKDjLElNFoOFrPGtQGrPHpPHnPHmPHkOHiOHhOHfOHdN\ HbNHaNI_NIYMIXMIVMITMIRLIQLIOLIMLIUT2LLICDY46l6Bj8\ GhAKgCPeETdGYbIaaKf_JkYLjZNi_Oh_Qh`Sg`TfaUfaUebUdb\ UdcUccUbdUadUaeU`eU_fU_fUZgZYgcYhhXhmWizWizXgwYftZ\ eq_dn_bl`aka`ib_hcZgcXfdWdeVcfUbgTagR_hQZiPYjOSnIX\ jNagSfdXkaapZeoc_nhUoqPnrOmsNltMkuMjvLiwKhxKeyLczM\ azM_zNXzNVzOTzPRzPOzQMzQKzRIzRLzQOzPQzOTzOVzNYzM`z\ MbzLezKgzKhzIhzGTz9Tz7Tz5 } 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==================================

1 0

Re: MultiFractal
by JackOTradez 19 May '03

19 May '03

There is an excellent file (albiet a few years old) called PHCTUTOR.ZIP which contains a TXT tutorial and a FRM example file. It describes and demonstrates the multifractal concept quite well. I have been investigating it. It uses the IF/THEN/ELSE programing logic and uses an "alternating pixel" technique to superimpose different fractals. I am trying to animate these but it is not so easy so far. I am not sure where to get it - probably one of the Fractint support sites. If U R interested I can just email it to you or post in on my web site for download. JoTz

3 2

More Multifractal
by Chris Curnow 19 May '03

19 May '03

Three more Multifractal pars. I've used your colour map, Albrect, as it *does* seem to go well with this formula. 'Baroque' is odd. The pattern in the dark section is a moire, - it changes with resolution, never seen that before on a Fractint image. Best regards, Chris Curnow Heraldic { ; Version 2002 Patchlevel 2 reset=2002 type=formula formulafile=niekamp.frm formulaname=multifractal ismand=y function=tan/acosh/acos center-mag=0.856619/-0.0199012/2.255223/1/90/-1.23373533611470521e-014 params=0.1591998046815394/-0.2558214056825465/384.00004/256.1121/2048.00\ 016/768.000017/768.01536/512.01025/14289.27/0 float=y maxiter=20048 inside=maxiter outside=tdis logmap=3 periodicity=0 rseed=-2436 colors=200A84<18>keNmgOoiPqjQslRunS<2>zsW<25>CB6A95874653442220000400<23\ >o00q00s00<3>z00<25>C00A00800<3>000<2>554776998BBACCB<16>eedggfiihjjillk\ nnm<2>ssr<25>BBA998776<2>221000011<24>0bn0cp0er<3>0ky<25>09B089067<2>021\ 000210<2>863 } Baroque { ; Version 2002 Patchlevel 2 reset=2002 type=formula formulafile=niekamp.frm formulaname=multifractal ismand=y function=tan/acosh/acos center-mag=0.120964/0.137316/23.19454/1/90/3.88578058618804789e-016 params=0.1591998046815394/-0.2558214056825465/384.00004/256.1121/2048.00\ 016/768.000017/768.01536/512.01025/14289.27/0 float=y maxiter=20048 inside=maxiter outside=tdis logmap=3 periodicity=0 rseed=-2436 colors=200A84<18>keNmgOoiPqjQslRunS<2>zsW<25>CB6A95874653442220000400<23\ >o00q00s00<3>z00<25>C00A00800<3>000<2>554776998BBACCB<16>eedggfiihjjillk\ nnm<2>ssr<25>BBA998776<2>221000011<24>0bn0cp0er<3>0ky<25>09B089067<2>021\ 000210<2>863 } Trophy { ; Version 2002 Patchlevel 2 reset=2002 type=formula formulafile=niekamp.frm formulaname=multifractal ismand=y function=tan/acosh/acos center-mag=0.942923/0.000382602/14.77717/1/90/3.88578058618804789e-016 params=0.1591998046815394/-0.2558214056825465/384.00004/256.1121/2048.00\ 016/768.000017/768.01536/512.01025/14289.27/0 float=y maxiter=20048 inside=maxiter outside=tdis logmap=3 periodicity=0 rseed=-2436 colors=200A84<18>keNmgOoiPqjQslRunS<2>zsW<25>CB6A95874653442220000400<23\ >o00q00s00<3>z00<25>C00A00800<3>000<2>554776998BBACCB<16>eedggfiihjjillk\ nnm<2>ssr<25>BBA998776<2>221000011<24>0bn0cp0er<3>0ky<25>09B089067<2>021\ 000210<2>863 }

2 1

Chaos Theory Explains Origin Of New Moons
by Mark Christenson 18 May '03

18 May '03

Hi folks. Here's a relevant link from another list I belong to. Enjoy! Aloha, Bud >Date: Fri, 16 May 2003 16:36:17 -0500 >From: Ron Baalke <info(a)jpl.nasa.gov> >To: mchris(a)value.net >Subject: Chaos Theory Explains Origin Of New Moons >Organization: NASA Jet Propulsion Laboratory >... >http://www.bris.ac.uk/news/2003/188 > >Chaos theory explains origin of new moons >University of Bristol (United Kingdom) >May 15, 2003 > >The ability to understand how small bodies such as moons switch from orbiting >the Sun to orbiting a planet has long remained one of the outstanding problems of >planetary science. A paper published in Nature on 15 May shows how this >problem has been resolved using chaos theory, enabling scientists to predict >where astronomers might search for new moons orbiting the giant planets. > >... (see link for full text)

1 0

FOTD 18-05-03 (Fractals Forever [8])
by Jim M. 18 May '03

18 May '03

FOTD -- May 18, 2003 (Rating 8) Fractal visionaries and enthusiasts: Sometimes I surprise myself at the way I find midgets in the most unlikely places. I appear to have become a specialist in finding the little things. This does not mean that I consider images with midgets (sometimes called molecules or atoms) at the center to be better in any way than fractals without midgets. I simply have unintentionally become a specialist in one type of fractal. The midget in today's scene was a total surprise. The scene is located in the 'handle' of the fan-shaped element of the parent fractal, in an area that appears to be total non-critical chaos with no chance at all that midgets could lie there. I cannot say what led me to the scene. As is the case with many of my images, I simply got a feeling, and followed my instincts. If anyone were to ask me how I find these midgets, my only answer would be 'I don't know'. Today's image rates an 8. If I had given it more effort, it might have rated a 9, which equals one of the best FOTD images of all time. But an 8 equals an exceptionally good image, and that is nothing to shrug at. When I find an (IMO) exceptionally fine image, it renews my enthusiasm. If this trend continues, I'll be searching for fractals forever. Recognizing this trend, I named today's image "Fractals Forever". Luckily, today's image renders in somewhat less than forever. It renders in 15 minutes, in fact. And even that 15 minute wait can be avoided by visiting 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> and downloading the completed GIF image from there. Clouds and an unusually cool temperature of 50F 10C prevailed Saturday here at Fractal Central. The dynamic duo ventured briefly into the yard in the evening when we returned from the day's adventure and let them out, but the wet grass soon sent them back indoors, where they received their treat of tuna. Today is promising to be a repeat, with the exception that no more all-day antiquing trips are in the works. Until next FOTD, take care, and walk in peace. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Fractals_Forever { ; time=0:15:12.43--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=-0.33556966157394530/+0.031769085133724\ 92/1.169398e+009/1/172.5/1.49805316335127614e-006 params=-10/-1.1/-1/-11/0/525/0/0 float=y maxiter=2400 inside=0 logmap=229 periodicity=10 colors=000AK89J79I68I58H57G47F36E26D15C05C09E1DF2G\ G2KI3NJ3RK4VM5YN5aO6dQ6hR7lS8oU8sV9xV8vW9tWAsWAqXB\ oXCnXClYDjYEiYEgYFeZGdZGbZH`_I__IY_JW_KV`KT`LR`MQa\ MOaNMaOI_NLaONbOPcORdOTeOWfPYgP_hPaiPcjPfkQhlQjmQl\ nQnoQopQoqRpqRprSqsSqsSprUprWorYor_nranrcmremqglqi\ lqkkqmkqojqqjqsjqtiprioqinohmnhllhkkgjigihghffgefg\ cffbee`ed_ecYdbXdaVd`Uc_ScZRcZPbYObXMbWLaVJaUIaTG`\ SF`RD`QC`QBaRBaRBaRBaRBbSBbSBbSBbSBcSBcTBcTBcTBdTB\ dUBdUBdUBeUBeUBeVBeVBfVBfVBfWBfWBgWBgWBgWBgXBhXBhX\ BhXBhXBgYEfYHfYJeZMdZOdZRc_Tb_Wb_Ya_```c``e_`hZajZ\ amYaoXbrXbtWbwWbyU`vT_tSYrRXpQWnPUlOTjNShMQfLPcKOa\ JM_ILYHKWFIUEHSDGQCEOBDMACJ9AH89F78D66B55944732521\ 3101844F76MA8TEA_HCeKEfLFgLGhMHiMIiMJjNKkNKlOLmOMm\ ONnPOoPPpQQqQQqQRrRSsRTtSUuSVuSVvTUwUTxVSyWRzXQzYP\ zZOzZNzZMzZLzZKzZJzZIzZHzZGzZFzZEzZDzZCzZBzZAzZ9zZ\ 9zZCzZEzZGzZIzZKzZMzZAzZ9 } 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==================================

1 0