May 2003 - Fractint - mailman.xmission.com

FOTD 29-05-03 (All Inside Stuff [6])
by JimMuth＠aol.com 29 May '03

29 May '03

FOTD -- May 29, 2003 (Rating 6) Fractal visionaries and enthusiasts: I see on the Fractint list that the 'bug' in the program that has caused the MandelbrotMix4 formula to run incorrectly has been identified and can be fixed without too much effort. This obviously will have an impact on the upcoming FOTD-CD. Until now, I have been feeling a bit guilty about the unreason- able delay in releasing the FOTD-CD. Now however, it appears the delay will be a good thing, for it will enable me to release a disk that does not depend on a bug in the program to render the images correctly. Of course, this means a further delay in the release of the disk while any needed changes that might arise are being done, but after a delay of nearly a year, that will be of little consequence. Meanwhile, whenever I find the time, I am still working on the task of identifying and renaming the images on the disk, so that they can be matched with their corresponding discussions without confusion. And on a non-fractal topic, I'm now receiving spam snail mail. Yesterday, I received in the snail mail an air-mail letter from Zimbabwe, which is a country in the southern part of Africa. The enclosed letter was a print-out of the same fraudulent offer that I have received so many times in the e-mail. The letter tells me that a probably fictional Mr. Twala has in his posses- sion 9.2-million US dollars that he wants to transfer out of his country. To do this transfer he needs my bank account number. Once he has the account number, guess what will happen to any money in the account. I find it hard to believe that anyone would fall for such an obvious scam, but whoever is sending these letters must be finding some pigeons naive enough to fall for his scheme, because the postage on the envelope amounts to 700 Zimbabwe dollars or whatever their monetary unit is, and he must send out thousands of such letters. At least the stamps on the envelope, which picture a newly constructed dam, are attractive. Today's fractal is also attractive, though not quite as attrac- tive as the dam in Zimbabwe. It is another 'evaporated' image, this one located near the right edge of the fan of the parent fractal. I named the image "All Inside Stuff" as a description, and rated it a 6 because it is interesting but not that great. The render time of 19 minutes is somewhat slow for a 6-rated image, but immediate relief is available at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> It rained all morning here at Fractal Central on Wednesday, then the sun appeared and the afternoon was sunny. The temperature reached only 65F 18C, when 79F 26C is normal, but the dynamic pair had a great several hours in the yard, enduring the wet grass with little complaint. Today once again holds a chance of rain. It remains to be seen how the duo will adjust. I'll do my adjusting when the work is done and the next fractal is found. That time will likely be around 3pm. Until next time and next FOTD, take care, and don't give up hope for the FOTD-CD. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ All_Inside_Stuff { ; time=0:19:39.03 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=+1.69799788216427200/-0.966528307188927\ 90/366675.9/1/-132.5/-9.33145443554606047e-009 params=-10/-1.1/-1/-11/0/1e+100/0/0 float=y maxiter=1200 inside=bof61 periodicity=10 colors=000eiOfhQggThfWjeZkdalccmbfoaip`lq_orZqqVoq\ SmpPkpMioJgoGenDcnAan7_l6Zk6Zj6Yh6Yg6Yf6Xd6Xc6Wb6W\ `6W_6VZ5VX5UW5UV5UT5TS5TR5SQ5SO5SN5RM5RK5QJ4QI4QG4\ PF4PE4OC4OB4OA4N84N74M64M00054M56M58M5AM6CM6EM6HM6\ JM7LM7NM7PM7RM7TM9VOAWPCXQDYRF_SG`TIaUJbVLdWMeXOfY\ PgZRh_Sj`UkaVlb000Yod_pe`qfbrgctheuifvjhwkkynixlhw\ jfvieugctebsd`sb_r`Yq_XpYVoWUnVSnTRmRPlQOkOMjM000J\ hJIhHGgGFfEDeCCdBAc97e68d79c89b9AbABaBB`CC`DD_EDZE\ EZFEV`FXHGTZGWJHVKIVLIUMJTMKTNKSOLRXLRQMQRNPSNOTOO\ UPNUPMVQMWRLXRKYSKZSJ_TI`UIaUHhVGbWGmWFdXErYEfYDrZ\ ChZCw`EiaGibIjcKjdMjeOkfQlgSlhUliWmjYmkZnl`nmbondo\ ofophpqjprlqsnqtprurrytuvsrtsoqslosjlrgjrdgraer_bq\ X`qUYqRWqPTpMRpJOpGMpERmCVjBZgAce9gb8k_7rZ6pY6oY6n\ X6mX6lW6kW6jV6hV6gV6fU6eU6dT6cT6bS6aS6_S6ZR6YR6XQ6\ WQ6VP6UP6SP6RO6QO6PN6ON6NM6MM6KL6LM6LM6MM6MN6NN6NN\ 6ON6OO6PO6PO6PO6QP6QP6cjL } 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 1600/1200 Bug
by Albrecht.Niekamp＠t-online.de 28 May '03

28 May '03

Hi, I spend a lot of time trying to find a workaround for that bug and that is no fun anymore. I was kinda shocked when I read yesterdays message by Jim White. Imagine, working for years with a formula that only generates artefacts produced by a fractint bug -if it is true. Also Jonathans remark that the formula possibly will be broken by just that forces me to stop working with multifractal, at least until that bug is tracked down, if ever. So I tried to reproduce the Janusbird3 image with the new formula Multifractal_1. It should be no problem, as the relevant code is identical and only the iteration counter is used for switching. The result is identical except that tesseral (passes=t) does not produce error pixels anymore. But--it was not possible with Lee`s image which is a zoom with identical settings. In the frame of the basic image there are mandeloids which definetly are artefacts produced by misreading of the input values. The artefacts cannot be reproduced by changing of the settings. For me it is now certain, that fractint under certain conditions misreads the inputs and causes the error pixels when there is a conflict between the original settings and the misreadings. Mfx_testz is Lee`s image without the artefacts. -------------------------------start-par----------------------------------- mfx_testz { ; reproduced with Multifractal_1 ; 1600x1200 Image Copyright 2003 ; by Lee H. Skinner ver=2002 reset=2002 type=formula formulafile=mult240.frm formulaname=multifractal_1 ismand=y function=exp/exp/exp/exp passes=t center-mag=-1.41631/0.116469/5.602624/1/-87.4999999999999716/-1.14117049\ 143658278e-013 params=-0.2724234748374889/0.09260841170049135/384.00001/2048.4505/768.0\ 256000000001/768.0256000000001/1025.0256/1536.0256/12284.71/11.16 float=y maxiter=2048 inside=maxiter outside=tdis logmap=4 symmetry=none periodicity=0 rseed=-2436 cyclerange=2/255 colors=000000hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_jFRoNIzb0<2>zz\ 1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhM\ BiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6\ >vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3\ >g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4K\ W0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>zzz<3\ >rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<\ 4>QR8SU9UXAW`BYcC<2>enG } Janusbird3a { ; reproduced with Multifractal_1 ; original settings ; ; ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=mult240.frm formulaname=multifractal_1 ismand=y function=exp/exp/exp/exp passes=1 center-mag=-0.488627/4.44089e-016/1.086909 params=-0.2724234748374889/0.09260841170049135/384.00001/2048.4505/768.0\ 256000000001/768.0256000000001/1025.0256/1536.0256/12284.5/11.16 float=y maxiter=2048 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=200pppqqqsss<25>BBB999777<2>222000012<24>0bo0cq0es<3>0kz<25>09C08\ A068<2>022000211<22>keOmgPoiQqjRslSunT<2>zsX<25>CB7A96875<3>000400<23>o0\ 0q00s00<3>z00<25>C00A00800<3>000<28>nnn } --------------------------------start-frm----------------------------------- FRM:Multifractal_1 { ; Albrecht Niekamp 270503 ;only integers as first input, second input 5 digits to the right ;real(p2) factor1, border1 ;imag(p2) (-)bailout,input bas.frm1_2digits input bas.frm2_2digits ;real(p3) maxiter2, border2-in ;imag(p3) factor2, border2-out ;real(p4) maxiter3, border3-in ;imag(p4) factor3, border3-out ;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 digit1: 1_out1 2_out2 3_both +5_shape ; digit2: 1_in1 2_in2 3_both ;imag(p5) digit1 : many_mods multipl.shutoff 1_in/out1 2_in/out2 3_both ; digit2 :1_iter1reset 2_iter2reset 3_both +5_shape effect ; input2: Number of sides 2 digits (many_mods L.Allison) ; d=real(p2) fac1=trunc(d) b1=(d-fac1)*100000 ; d=imag(p2) da=d<0 if (da) d=-d endif ba=trunc(d) d=round((d-ba)*10000) p6=trunc(d/100)/10 d=d-1000*p6 if (da) p6=-p6 endif p7=d/10 ; d=real(p3) mi2=trunc(d) b2=(d-mi2)*100000 ; d=imag(p3) fac2=trunc(d) ob2=(d-fac2)*100000 ; d=real(p4) mi3=trunc(d) b3=(d-mi3)*100000 ; d=imag(p4) fac3=trunc(d) ob3=(d-fac3)*100000 ; da=real(p5) t=da<0 if (t) da=-da endif start=2-t dd=trunc(da) da=round((da-dd)*100) if (dd<5) start=0 vb=(dd==3)+(dd==4) else d=trunc(dd/10000) vb=(d==3)+(d==4) dd=dd-d*10000 d=trunc(dd/1000) dd=dd-d*1000 or1=d>5 d=d-5*or1 vv1=(d==3) vv2=(d==4) dd1=(d==2)+(d==4) d=trunc(dd/100) dd=dd-d*100 or2=d>5 d=d-5*or2 vv3=(d==3) vv4=(d==4) dd2=(d==2)+(d==4) d=trunc(dd/10) dd=dd-d*10 inr1=d>5 d=d-5*inr1 v1=(d==3) v2=(d==4) d1=(d==2)+(d==4) inr2=dd>5 dd=dd-inr2*5 v3=(dd==3) v4=(dd==4) d2=(dd==2)+(dd==4) endif ; d=trunc(da/10) da=da-10*d ab=d>=5 d=d-5*ab bb1=(d==1) bb2=(d==2) ab1=(da==1) ab2=(da==2) ; d=imag(p5) dd=trunc(d) mm=round((d-dd)*100) 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 (ismand) z=0 if (vb) c=0.4*log(sqr(pixel^mm)) else c=pixel endif else c=p1 z=pixel endif t=0 tt=0 d3=(ismand==0) u=d3 : if (vb) if (d3) z=(z*z-real(c))^(z*u+imag(c)) else z2=fn4(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 (bo>b1) u=2*(fn1(t/fac1)) if (ismand) z=z*u if (vb) c=0.4*log(sqr(pixel^mm)) else c=pixel endif else z=pixel c=p1*u endif wo=0 if (ir1) t=0 endif endif elseif (start) t=t+1 if (start==2) if (bo>b2&&bo<ob2) 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&&bo<ob3) 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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FOTD 28-05-03 (In the Oort Cloud [8])
by Jim Muth 28 May '03

28 May '03

FOTD -- May 28, 2003 (Rating 8) Fractal visionaries and enthusiasts: What is the outer limit of the solar system? Is it the planet Pluto? No, Pluto, which is hardly worthy of being called a planet, is not the end of the solar system. Are a few icy rocks a short distance beyond Pluto the limit of the solar system? No. What then is the end? The end of the solar system is the Oort cloud of comets, which surrounds the sun and extends nearly halfway to the nearest star. These distant chunks of rocky ice drift lazily along in their orbits at a rate of perhaps one meter per second, taking many millions of years to complete one revolution. Today's image reminds me of a cloud of comets, such as the Oort cloud. The resemblance inspired the name "In the Oort Cloud". Of course, the actual comets in the Oort cloud are totally dead. They are not surrounded by a coma of ejected gases, nor are they as crowded together as the 'comets' in the image, but the image bears enough of a resemblance to a cloud of comets to justify its name. At this time, I must make a minor confession. At the beginning of the month, I stated that I would post no 'evaporated' images during the month. Until today, I have posted none. But the 'normal' version of today's image that I originally found became so much better when it was evaporated that I could not keep it secret. The entire image is composed of < bof60 > inside fill. The scene of today's image is located inland, near the discon- nected area of chaos south of the main body of the mayparent fractal. Of course, since the scene is an evaporated one, the parent fractal is no longer there. When the time came to rate the image, I had no trouble deciding on an 8. The image truly is an exceptional one (as FOTD images go). The render time of 16 minutes is not so exceptional, but this minor annoyance can be eliminated by downloading the completed GIF image 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> Though the clouds were heavy, the expected rain failed to materialize here at Fractal Central on Tuesday, and as a result, the Fractal Central cats had an enjoyable day. The temperature of 61F 16C was a bit chilly for their sensitive whiskers, but at least the grass was dry when they ventured into the yard for their afternoon exploration. This morning is once again cloudy and rain is once again threatening. The duo will have as good a day as they can. My day will be as good as the work permits and as good as I make it. Until next FOTD, take care, and give those Fractint bugs a shot of Raid. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ In_the_Oort_Cloud { ; time=0:16:13.23--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=-0.79387328486147/+2.42904310788191/3.7\ 3372e+008/1/-5/-1.9083425896814e-005 params=-10/-1\ .1/-1/-11/0/1e+100/0/0 float=y maxiter=1200 inside=bof60 outside=iter periodicity=10 colors=000zzzzyyzxxxwwwvvuuusttqssorrmqqjppgoodnna\ mmZmlWkkTkjQjiNihKhgHgfEfeDdaCbXB`TAZP9WL8TGNRCAMA\ ZF9l77y06t7CoDHjJMeQS`WXWaaYZ`_X_aVZcTYeQYgOXiMWkK\ VmHVoFUqDTsBSt9SsEWsJZrObrTerYuqbw000QpdRoQSoQTpRU\ pRUpSVpSWpTXpTYpUZpU_pV_pVXqTVqSSrRQrQNsPLsNItMGtL\ DuKBuJ9uI8tK8sL8rM8qN8pO8oP8nQ8mR8lS8kT8jU8iV8hW8g\ X8fY8eZ8d_8c`8ba8ab8`c8_d8Ze8Yf8Xg8Wh8Vi8Uj8Tk8Sl8\ Rm8Qn8Po8Op8Nq8Mr8Ls8Kt8JuchIR_hS_iT`jU`kV`kWalXam\ YanZao_bp`bpabqbbrccsdctecufcud`rcZpbXn`Vl_TjZQgXO\ eWMcVKaTI_SFXRDVPBTO9RN7PM5NP9RSCUUFYXI`ZLcaOgcRjf\ UmhXqk_tmbwmcwndxnfxogxoixojxRrbRraSs`St_TuZTuYUvX\ UwWUwWSsVRpUPlTOiSNfRLbQK_PIWPHTOGQNEMMDJLBFKACJ99\ JAAIAAIBAHBAHBBGCBGCBFCBFDBFDCEDCEECDECDEDCFDCFDBF\ DBGDBGEAGEAHE9HE9HF8IF8IF8IF7JF7JG6JG6KG5KG5KH4LH4\ LH4LH3MH3MI2MI2NI1NI1NI1OK4PL6PM9QNBROERPGSQJSRLTT\ OUUQUVTVWVWXYWY_XZbX_d_Xf } 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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Re: [Fractint] BUG - (all MandelbrotMix images are reflections!)
by Jim Muth 27 May '03

27 May '03

At 08:27 PM 5/26/03 +0100, Jim White wrote: <snipped> >....all images using MandelbrotMix4 are accidental >reflections!.... I have long realized that all is not mathematically correct with the way the MandelbrotMix4 (and MandelbrotMix2) formulas are handled by the Fractint program. This is quite obvious when the order of the parameters is reversed and (a*z1)+(b*z2) does not equal (b*z2)+(a*z1). But what can be done about it now? If the bug were corrected, many of the older parameter files would not work. Jim M.

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Re: Fractint Digest, Vol 3, Issue 21
by JackOTradez 27 May '03

27 May '03

Yes! ""When you are dealing with endless repetitions (specifically, iterations) on infinitesimal quantities anything can and does happen. Who can say what is right and what is wrong?"" Can you say "CHAOS" ? (I know you can . . .. ... ..... ........ ) Ain't it cool!? JoTz

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Re: [Fractint] FOTD 23-05-03 (Isolated Minibrot [8])
by Jim Muth 27 May '03

27 May '03

At 01:24 PM 5/27/03 -0400, Mike Traynor wrote: <snipped> >...in a broader sense, the definition [of a fractal] >is recognizing that we haven't yet formalized the >description of the kinds of similarities fractals >display. Fortunately, we've got a terrific pattern- >recognizing computer that doesn't need to have things >like "the same 'type' of structures" formalized. >It is, of course, the human brain. ...which takes us back to my original statement that it is ultimately up to we human beings to decide what is and what is not a fractal. Jim M.

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Re: CONJ/Float Bug
by Jim White 27 May '03

27 May '03

Hello everybody > (Jonathan) Have you tried the command line option debugflag=322? I tried including "debugflag=322" in the PAR files. It seems to make no difference to ANY of the tests. > (Jim Muth) If the bug were corrected, many of the older parameter files would not work. I know just what you mean! It's a real pain in the proverbial! Nevertheless, I'd make the following points: 1. Fractint appears to me to be be a bit of an icon (!) in the fractal generation arena. Its formula parser represents a de-facto standard by which users of different packages (and home-grown engines like mine) can share images. In the home-grown case, I use fractint as a benchmark to test my program (which is how I came to discover the bug) 2. While packages will vary in their approach to interface issues and rendering techniques, it is surely critical that the underlying mathematical "signature" of an image (as encapsulated by the formula + the target window) should be both consistent and accurate. 3. Accidental artifices that produce desirable effects can be retained, where it's deemed desirable and practicable, by having the package support an option to allow the former bug to be activated (as I understand was done with cos/cosxx). 4. Mathematical bugs cut both ways - they might produce interesting images that otherwise would never be found, but they might also conspire to prevent discovery of others! 5. Corrections to parameter files for images based on MandelbrotMix4 would only require window-reflection, a relatively simple task. But what if the reflections we are seeing here are NOT the only symptom of this bug? What if other artificial side-effects are going undetected? This itself is a good argument for fixing the bug, and checking samples of the various formula types. In other words, I hate to be a pain the arse, but I don't see that we have a choice! Cheers Jim White __________________________________________________ It's Samaritans' Week. Help Samaritans help others. Call 08709 000032 to give or donate online now at http://www.samaritans.org/support/donations.shtm

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Re: [Fractint] FOTD 23-05-03 (Isolated Minibrot [8])
by Jim Muth 27 May '03

27 May '03

At 09:45 AM 5/27/03 -0500, Prog. Dude wrote: <sippped> >Doesn't "fractal" have a *mathematical* definition? Yes. I now quote from page 1101 of the second edition of the CRC Concise Encyclopedia of Mathematics: [A fractal is] "An object or quantity which displays SELF-SIMILARITY, in a somewhat technical sense, on all scales. The object need not exhibit *exactly* the same structure at all scales, but the same 'type' of structures must appear on all scales. A plot of the quantity on a log-log graph versus scale then gives a straight line, whose slope is said to be the FRACTAL DIMENSION." IMO, words such as 'somewhat' and 'not exactly' and 'same type' in this definition leave it open to individual interpretation. Jim M.

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Re: [Fractint] FOTD 23-05-03 (Isolated Minibrot [8])
by Jim Muth 27 May '03

27 May '03

On Sat, 24 May 2003 at 12:38:52 Albrecht Niekamp wrote: <snipped> >If a seemingly irregular structure turns out to be part of a >bigger structure that isnt chaotic at all and maybe a structure >that you havent seen before, then what is a fractal if this >isnt? The entire concept of the entities we now know as 'fractals' was invented by human beings, and it is up to each individual to decide what is or is not 'a fractal'. To me, a fractal is something that resembles the images that I first saw in 'Sci. Am.' magazine around 18 years ago. This is my personal decision. IMO, when things such as multiple layers and transforms are applied to an image, what results is computer art based on fractal formulae. There is nothing wrong with calling this art 'a fractal' or 'fractal art' or anything else the creator wishes. I simply choose not to call it a fractal. >Tell me what's missing. Nothing is missing. >Purity as such is meaningless in this context, unless it is >part of your message. 'Fractal purity' is also a human invention. No two people will agree on what it is. >And another question: If Lee detects hidden beauty within a >seemingly uninteresting scene, what better could you say about >a fractal artist? I could say nothing better. I am most certainly not suggesting that everyone limit themselves to my definition of fractals or fractal art. >After all we are trying to do the same thing: Create images >that make people look twice and maybe take a closer look. True. >And maybe there is a smile on their face when they see beauty. >As for me, we are covering a different part of the spectrum... True. There is nothing wrong with that, especially in light of how I have narrowed my spectrum. >and if you feel attacked... I do not feel attacked. I think you misread the word 'aggressive', which was intended as a joke much as the phrase 'sexy fractals' would have been. ...thats exclusively your own problem. No problem. >I'm happy that a fresh wind is blowing in Fractalia and that I >could do my part to keep it alive. Regards, Keep up the good work. Things that do not change with the times soon become things of the past. Jim M.

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FOTD 27-05-03 (Red and Green [7])
by JimMuth＠aol.com 27 May '03

27 May '03

FOTD -- May 27, 2003 (Rating 7) Fractal visionaries and enthusiasts: Today's FOTD image has nothing to do with a certain Canadian back-woodsman. I named it "Red and Green" because those colors are most prominent in the image. The red-green area is surrounded by an extended area of lavender chaos, which sets it off quite nicely, earning the whole thing a rating of 7. The scene is located in an area of chaos near a small and very distorted Mandeloid just beyond the northern edge of the 'fan'. The trip back out to the surface of the mayparent fractal is quite interesting, and can be done most quickly in a smaller view window. Before starting the trip, set the passes to < g > and turn off the logmap. I have been aware for quite some time that the Fractint program, (and from what I hear, apparently the UltraFractal program as well), does not calculate the MandelbrotMix formulas correctly. It is a small deficiency but it is there. To see the 'bug' in operation, bring today's image to the screen and switch the (p1) and (p2) parameters. This should change nothing, since a+b is equal to b+a, but when it is done, the calculated image totally changes. It becomes a solid blue screen with an iteration count of 107. What has happened is that the parent fractal has become a mirror image of itself. I have never mentioned this bug because of the backward compat- ibility problem, and also because the formula does do what it was intended to do, which is set initial Z to a critical point of the formula, so that the image the formula draws will contain intact midgets. My opinion is to leave well enough alone and live with the minor inaccuracy, which if corrected, would cause more problems than it eliminates. And speaking of eliminating problems, the problem of the 20-minute wait to render today's image can be eliminated by downloading the completed image 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> The cat duo had a better day than expected on Monday. The rain ended later in the morning and we actually had a bit of sun in the afternoon. When the temperature reached the trigger point of 66F 19C the duo snapped out of their lethargy, leaped to their feet, and came running, demanding to be let out. They enjoyed a two-hour romp in the yard, (if sitting and watching birds can be called a romp), before they realized how wet their paws were getting. This morning, the clouds in advance of the next rain have already moved in, and the rain is due by afternoon. If the duo expects to go out today, they had better wake up this morning and get active. As for me, I've got enough work lined up to keep me active most of the day. And then, there is the next FOTD to find and write about. So until next time, take care, and watch for unexpected fractal bugs. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Red_and_Green { ; time=0:20:26.98--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=+4.29791870853377400/-2.096657547867527\ 00/1.096168e+010/1/-160/-8.91246113253474359e-006 params=-10/-1.1/-1/-11/0/525/0/0 float=y maxiter=2400 inside=0 logmap=370 periodicity=10 colors=000QTkRRjSPiSMgTKfUIeUGcVEbWCaWA`XCaXDbYFcY\ GcYHdZJeZKf_Mf_Ng_Oh`Qi`RiaTjaUkaVk7aSBcUFeWJgYNi_\ Qk`UmbYndapfdrghtilvkpxmsynukmvYmwKlx7ls7ko7jk7jg7\ ic7i_7hW7gS7gO7fK7fJBbIF_HJXGNUFRREVNDZKCbHBfEBjBC\ gFDdJEaMEZQFWUGTXHQ`HNdIKgJHkJEnIHlIJkIMiIOhIQgHTe\ HVdHYbH_aHa`K`bM_cOZdQZfSYgUXhXWjZWk`VlbUndTofTpgU\ ogVohWohXohYoiZoi_oi`ojaojbokcokdokeolfolgolzoOnZ0\ wI1rJ2pJ3mK4jK5hK6eL7cL8`M9ZMAWMBUNCRNCPN000XLLgKL\ pIKzXKyIJyJIyKHzXGxMFxNExNDwOCwPBwQAvR9vS8vT7vT6nR\ BfQFZPKROOJNTBMXzL`zYRziIzmJzmJzzJzvUzrdzmYzhRzcLz\ ZNzUOwPQtKRqFSmAUh9Vg7Wg5Yg3Zg2_d3Za4Y_4YX5XV5XS6W\ Q6WN7VL7VI8UG8UF7TE7TE6TD6SC6SC5SB5SA5RA4R94R94RC6\ TF7VI8XL9ZOA`RBbUDdXEf_FhbGjeHlhInjJoDbcCdjBfqDgmE\ hjFifGjcHk`JlZKmYLnWNoVOpTPqSRrRSsPTtOVuMWvLXwKVxJ\ TyJRzJPzINzILzIJzIHzHFzHDzHCzHYzBsz5izD_zLQzTHz`Bz\ T5zL0zEHzhJzgNzqOzoPznQzm } 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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