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Re: [Fractint] At it again...
by Franktal Gallery 28 May '02

28 May '02

Andrew, you might like to check out my ray-traced fractals made from infinite reflections inside a stack of mirrored spheres. I think these pictures show something impossible to reproduce in the real world, because of the perturbation introduced by a real camera. This seems related to the uncertainty principle, I guess.... The virtual camera overcomes this obstacle. Best regards, Miguel Fliguer . Buenos Aires, Argentina Franktal Gallery - http://www.geocities.com/franktal2002 >From: "Andrew Coppin" <orphi69(a)hotmail.com> ><snip> >I've come up with the "hall of mirrors" analogy. Have you ever been to a >department store where they have mirrors on the columns supporting the >roof? >If you stand between two columns (assuming both have mirrors), you can see >an infinite number of reflections of yourself! But, of course, the mirrors >are always slightly greenish (never any other colou... mmm....) and never >completely flat. > >The Julia sets are the same. It seems that the infinite progression of >spirals/forks/dust are mirror images of one single such feature. _________________________________________________________________ Chat with friends online, try MSN Messenger: http://messenger.msn.com

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A very basic experiment
by John W. 27 May '02

27 May '02

This is an experiment to see if I could reproduce in Fractint a fractal which I originally found in UltraFractal. It's just a midget, in the basic Mandelbrot set, which reminded me of Arthur C. Clarke's description of of the startup of the engines of the spacecraft / worldlet. John W. Rama { ; Originally in UltraFractal ; Version 2002 Patchlevel 4 reset=2002 type=formula formulafile=fractint.frm formulaname=mandelbrot center-mag=-1.77335946455868600/+0.00624724158563847/1.619802e+010/1/90/\ 3.88578058618804789e-016 float=y maxiter=1249 colors=00000I<13>004003002000000000<25>00d00f00h00i00k00m<26>0ew0fx0hx0i\ y0ky0mz<25>nwzpwzrxz<3>zzz<42>7zz6zz4zz3zz2zz0zz<42>07z06z04z03z02z00z<4\ 3>00J }

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Re: [Fractint] outside=tdis
by JimMuth＠aol.com 27 May '02

27 May '02

Ricardo M. Forno wrote: >I downloaded developers' version 20.0.9, which I understand >is the last, but outside=tdis doesn't work in it. Morgan Owens' >formulas posted recently use this feature. What am I doing >wrong? You are not using the latest version. The latest version is version 20.02.4. It is available on the Fractint web site. Jim M.

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Fwd: Ikenaga Fractals???
by Jim Muth 27 May '02

27 May '02

From: Bruce Ikenaga <bikenaga(a)bellatlantic.net> Subject: Ikenaga fractals??? Hi- Well, in a fit of hubris, I did a Google search on my name and turned up the page: http://home.att.net/~Paul.N.Lee/FotD/FotD_01-01-21.html which has a link to my home page, so I assume you're referring to me. I recalled getting a puzzling email from someone two or three years ago asking me about the "Ikenaga set", and I told the guy I had no idea what in the world he was talking about. But when I saw the formula on another page http://www.geocities.com/CapeCanaveral/Launchpad/5113/fr25.htm it jogged my memory. This is the stupid thing that appeared in A. K. Dewdney's Scientific American column, isn't it? Oh geez. In the first place, I never did (what mathematicians would call) research on this. Back around 1984, I heard about the Mandelbrot set --- a friend actually did some of the programming for John Hubbard, who with Adrien Douady did a lot of the *real* work on it about that time. So I was cranking out pictures of the M-set, first on the DEC Pro-350 in the math department at CWRU, and later on my Tandy 2000 (my first computer!). I printed out nifty color pictures on my old CGP-220 color inkjet (one of the first commercially available). Mathematicians generalize at the drop of a hat, so one day I asked Mike Hurley, the resident dynamical systems guy, what would be the cubic "equivalent" of the M-set. Mike told me that up to topological conjugacy (if I recall correctly), you should use the one-parameter cubic z^3 + (c - 1)z - c. Without thinking about it, I just dumped that into the Mandelbrot program in place of z^2 + c, and was soon happily cranking out lots of pictures that looked like cacti. I thought Dewdney might find it amusing, so I sent him some. I was surprised when I saw my name mentioned in his column ... ... and also embarassed. Because I showed Mike the stuff, and when he asked me what I did, he said "That's not right". See, I just put the cubic in place of the quadratic, so the program was still iterating z = 0. While you do get pictures, they aren't the "right" pictures from the dynamical point of view. The reason you iterate z = 0 with the quadratic is that it's a critical point of f(z) = z^2 + 1. By analogy, for the cubic you should iterate the critical points (plural) and (I hope I don't screw this up!) see if *at least one* escapes. (If I'm wrong, then you see if *both* escape; unfortunately, I know nothing about dynamics. As I said, I don't work in the area!) The derivative for the cubic is 3z^2 + (c - 1). So you need to set this equal to 0 and solve for z (which gives two complex square roots, which gives two critical points). You iterate these guys, not z = 0. Thus, you'll be iterating different points, depending on the current value of c. So I fixed my program and got new pictures which don't look like cacti --- not surprisingly, they look more like the quadratic M-set --- and quickly wrote Dewdney and told him I screwed up. But he never got a chance to print a correction, though I don't believe the original article actually said in detail how the set was generated. (If it had, I'm sure any number of mathematicians would have written in to point out that it was the wrong set.) I guess people read the column and just assumed you did the same thing as with the quadratic. I got bored with making pictures of fractals after two or three years. (A lot of other mathematicians got bored as well. As an amusing example, the October 1992 issue of the American Mathematical Monthly has a picture of the Mandelbrot set on the front cover. Inside, it says: "Cover: The Mandelbrot set. Neither it nor the word fractal is mentioned anywhere in this issue of the Monthly, except on the inside front cover." (Kind of like 10 years of the "X-Files", I guess.) (As an aside, the last pictures I did were from a paper by Grebogi, Ott, and Yorke. Not fractals, but some of the best black-and-white wallpaper ever! I've never seen those pictures since, so maybe when I have time I'll dig up the program and put it up on my page so people can play.) Anyway, I'm chagrined to find something apparently named after me, when as a mathematician I know it's the "wrong" object! I would greatly appreciate it if you let people know ... though I guess most are just happy that the thing makes pretty pictures, huh? :-( Feel free to copy this to others if it helps to correct this. Oh ... do any of those fractal-generating programs actually do the cubic, but the *correct* way? If not, you could do a favor for the people who write these things by letting them know. (Maybe go ask a dynamical systems person first whether you want *at least one* or whether you want *both* critical points to escape in order to color the point c. Don't take my word for it --- as you can see, I'm not a good source for this!) I hope this somewhat lengthy explanation helps. Bruce Ikenaga Department of Mathematics Millersville University Millersville, PA 17551

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Kleinian Group formulas - More pars
by Sylvie Gallet 27 May '02

27 May '02

M5KLN02 { ; . t= 0:02:22.43 ; Copyright Sylvie Gallet, May 26, 2002 ; <sylvie_gallet(a)compuserve.com> ; t=calc time using a PII 300 at 1600 x 1200 reset=2002 type=formula formulafile=klein.frm formulaname=mod5klein_group passes=1 center-mag=-7.3926/-0.316566/0.1738033/1/-52.500000000000014\ 2/-1.23373533611470521e-014 params=2/0.6/1.5/0.5/0/1.5/1/1 float=y maxiter=1023 proximity=3.45 outside=fmod periodicity=0 sound=off colors=000<182>000000000000000<10>0A00B00C00D00E0<3>3H04I06J\ 1<20>ejMgkNimO<3>orSpsTrtU<5>svdswftwg<2>txmuyouyqvzs000<2>0\ 00 } M5KLN03 { ; . t= 0:05:24.23 ; Copyright Sylvie Gallet, May 26, 2002 ; <sylvie_gallet(a)compuserve.com> ; t=calc time using a PII 300 at 1600 x 1200 reset=2002 type=formula formulafile=klein.frm formulaname=mod5klein_group passes=1 center-mag=-31.7027/62.311/0.01391957/1/-30.0000000000000533\ /-2.50563458870090017e-014 params=2.9/0.58/1.5/1/0/1.51/0.85/0 float=y maxiter=1023 proximity=3.45 outside=fmod periodicity=0 sound=off colors=000<181>000000000000000<10>0900A00B00C00D0<3>2G03H04I\ 0<21>ejMgkNimO<3>orSpsTrtU<5>svdswftwg<2>txmuyouyqvzs000<2>0\ 00 } ----------------------------------------------- E-mail: Sylvie_Gallet(a)CompuServe.com Web site: http://www.fractalus.com/sylvie/homepage.htm -----------------------------------------------

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outside=tdis
by Ricardo M. Forno 27 May '02

27 May '02

I downloaded developers' version 20.0.9, which I understand is the last, but outside=tdis doesn't work in it. Morgan Owens' formulas posted recently use this feature. What am I doing wrong?

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FOTD 27-05-02 (Sausages [6])
by Jim Muth 27 May '02

27 May '02

FOTD -- May 27, 2002 (Rating 6) Fractal visionaries and enthusiasts: We're at the end of a crackling lightning storm this Monday morning here at Fractal Central. The rain has stopped falling but the cats are still hiding. Luckily, all the utilities, especially the e-mail, are still functional. I know that the e-mail is working because I have just received a letter from Bruce Ikenaga, originator? of the mysterious but famous, (for devoted Fractint users), Ikenaga function. I have not yet read the rather lengthy letter, but at first glance it appears to explain the mystery surrounding the 'function', which, as I recall, Mr. Ikenaga once denied writing. When I have read the letter and determined that it contains nothing which Mr. Ikenaga would prefer to be kept private, I will forward it to the list. Today's image was created by a formula that mixes various portions of four different negative powers of Z: -1.2, -2, -2.8, and -6, and adds 1/C. The parent fractal created by this mixture is shaped like a crescent moon, with today's midget located on the north shore of the largest bud. I named today's image "Sausages". It's not a very classy name, but a string of sausages is the first thing that came to mind as I studied the image. I rated the image at a 6, the rating I usually apply when I can't decide. With the parameter file's render time of 13 minutes, running it is not the most efficient way to see the sausages. A far more efficient method is to download the completed image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Sunday here at the Fractal Central was warm and humid, with a high temperature of 79F 26C and humidity to match. Thunder-storms threatened in the evening but never materialized. The cats spent a lazy day lounging on the porch in the hazy sun, sniffing at the aroma of the neighborhood cook- outs, which occasionally wafted by. When a careless sparrow landed on the porch railing, Tippy made a move to stalk it, but decided the result would not be worth the effort, and returned to sleep. The yard work that lies before me, however, most definitely will be worth the effort -- if I get it finished that is. And the way to finish a job is to start at the beginning, so I'd best get moving. My only escape would be for the rain to continue all day, but that does not appear likely. Until the 30th, take care, and place your faith in fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Sausages { ; time=0:13:41.80--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3 function=recip passes=1 center-mag=-3.70474245107962100/+0.657760841842085\ 30/3.069827e+010/1/120.005849754697749/0.010984664\ 4080361863 params=4/-1.2/-2/-2/1.5/-2.8/-0.8/-6/0.\ 9900694240234/0 float=y maxiter=1000 inside=0 outside=tdis symmetry=none periodicity=10 colors=0000Ug0Ue0Ue0Ud2Ud2Ua2Ua2Ua2U_4U_4UY4UY4UW4\ UW4UU7UU7US7US7UQ7UQ7UN9UN9UN9UL9UL9UJCUJCUHCUHCUE\ CUECUCEUCEU9EU9EU7EU7EU7HY9J_9Ja9Ld9Ng9Ni9QlCSnCSq\ CUsCWuCWwCYzE_zE_zEazEdzEdzEezHgzHgzHizHlzHlzHizEi\ zEizEizEizEizCizCizCizCgzCgz9gz9gz9gz9gz9gz7gy7gw7\ gw7eu7es4eq4eo4eo4en4el2ei2eg2dg2de2dd2da0d_0d_0dY\ 0dW0dU0dU0aS0aQ0aN0aL0aL0aJ0aH0aE0aC0_C0_90Z70Y40X\ 20W20W00U00T00Q00R00R20R70RE0TJ0VQ0XV0ZZ0_c0_h0_o0\ au0_s0Ys0Yq0Wq0Wo0Uo0Un0Sn0Sl0Ql2Qi2Ni2Li2Lg4Jg4Je\ 4He4Hd4Ed7Ea7Ca7C_79_79Y97Y94Y94W92WC2UC0UC0SC0SC0\ QE0QE0NE0NE0NE0QH0QH2QH4QH7QH9SHESHHSHJSHLSHNUHQUH\ UUHWUHYUH_WHaWHdWHgWHiWHlYHnYHoYHqYHuYHw_Hy_Hz_Hz_\ Hz_HzaHzaHzaHzaHzaHzaHzdJzdLzeNzeQzgSzgUzgWziYzi_z\ lazlazldynewngwoiuolsqnqqoqqqossnssluuluwiuygwzewz\ eyzdyzazzazz_zzYzzWzzWzzUzzSzzQzzQzzNzzLzzNzzLzzLz\ zJzzJzzJzzHzzHzz0Ui0Ui0Ug } frm:MandelbrotMix3 {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END 20.0 PAR-FORMULA FILE==================================

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Re: [Fractint] homemade watch
by Bodo Schäfer 26 May '02

26 May '02

hi everybody, >I also found a "fractext.exe" on a German site. The >automatically-translated page said: I don't know this site but since I am German, I can provide Information as follows . . . > Fraktale: presumably Deutches for "fractals". quite so ! > apple males: not sure about the males, but the word for apple > (apfel) also means "ball". Maybe it works out to something > like "spherical projections" ;-) 'apple males' is the incorrect translation for 'Apfel-Maennchen'. 'apple-man' is a German figurative for mandelbrot-set. > almond bread: literally "mandel brot". Now you know what > his name *really* is! 'course we do . . . > dissolutions: probably "resolutions". seems to make sense greetings from Germany, Bodo ________________________________________________________________ Keine verlorenen Lotto-Quittungen, keine vergessenen Gewinne mehr! Beim WEB.DE Lottoservice: http://tippen2.web.de/?x=13

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Kleinian Group formulas - Pars
by Sylvie Gallet 25 May '02

25 May '02

Hi All, I really enjoyed playing with the new formulas! - Sylvie I4KLN01 { ; . t= 0:02:11.44 ; Copyright Sylvie Gallet, May 25, 2002 ; <sylvie_gallet(a)compuserve.com> ; t=calc time using a PII 300 at 1600 x 1200 reset=2002 type=formula formulafile=fractint.frm formulaname=inv4klein_group passes=1 center-mag=73.5131/-118.653/0.002078673/1/70/-3.778227730677\ 48585e-014 params=1/1.67/0/0.505 float=y maxiter=1000 inside=0 decomp=256 periodicity=0 cyclerange=0/255 sound=off colors=qtz<16>gozfozfozenzenzdnzcmz<11>JVkHTjFRhDQgBOf9Md<10\ >7FV6EU6ET6DS6CR5BQ<10>23F13E12D11C00B<148>003003002<2>00200\ 3015<7>06J06L07N<3>0AU<4>PVhU_kZcn<3>suz<2>ruz } I4KLN02 { ; . t= 0:02:10.27 ; Copyright Sylvie Gallet, May 25, 2002 ; <sylvie_gallet(a)compuserve.com> ; t=calc time using a PII 300 at 1600 x 1200 reset=2002 type=formula formulafile=fractint.frm formulaname=inv4klein_group passes=1 center-mag=0.507222/0.443677/0.06591993/1/30.000000000000042\ 6/-2.50563458870090017e-014 params=0.99/1.9/0/0 float=y maxiter=1000 inside=0 proximity=2 outside=fmod periodicity=0 cyclerange=0/255 sound=off colors=000006<4>006006005osz<12>gozfozfozenzenzdnzcmz<11>JVk\ HTjFRhDQgBOf9Md<10>7FV6EU6ET6DS6CR5BQ<10>23F13E12D11C00B<140\ >003003002<2>002003015<6>05I06K06M<3>0AU<4>PVhU_kZcn<3>suz<6\ >osz } I4KLN03 { ; . t= 0:01:12.72 ; Copyright Sylvie Gallet, May 25, 2002 ; <sylvie_gallet(a)compuserve.com> ; t=calc time using a PII 300 at 1600 x 1200 reset=2002 type=formula formulafile=fractint.frm formulaname=inv4klein_group passes=1 center-mag=16.0055/-0.000584484/0.690905/1/-29.9999999999999\ 609/-1.01391117723892421e-013 params=1/4/0/0 float=y maxiter=1000 inside=0 proximity=2 outside=fmod periodicity=0 cyclerange=0/255 sound=off colors=000<8>D60E60G70<3>LA0UA0<4>c50<3>k10m00nA0<3>um0ww0wu\ 0<3>xj0xg0xd0<3>zU0<10>dA0b80`60Z40X20U00<9>I00H00F00<2>C00A\ 00A00<28>100100000<71>005005004<28>003003003<3>003000<9>6006\ 00700<3>A00<4>ZA0<4>wK0wQ0wW0xa0<2>xmCyqGyuKzyOzy_zxkzww } I4KLN04 { ; . t= 0:02:05.73 ; Copyright Sylvie Gallet, May 25, 2002 ; <sylvie_gallet(a)compuserve.com> ; t=calc time using a PII 300 at 1600 x 1200 reset=2002 type=formula formulafile=fractint.frm formulaname=inv4klein_group passes=1 center-mag=0.0683063/-0.118293/19.72787/1/-30.00000000000036\ 59/2.29385954675365156e-013 params=1/4/0/0 float=y maxiter=1000 inside=0 proximity=2 outside=fmod periodicity=0 cyclerange=0/255 sound=off colors=000<8>D60E60G70<3>LA0UA0<4>c50<3>k10m00nA0<3>um0ww0wu\ 0<3>xj0xg0xd0<3>zU0<10>dA0b80`60Z40X20U00<9>I00H00F00<2>C00A\ 00A00<28>100100000<71>005005004<28>003003003<3>003000<9>6006\ 00700<3>A00<4>ZA0<4>wK0wQ0wW0xa0<2>xmCyqGyuKzyOzy_zxkzww } I4KLN05 { ; . t= 0:02:58.78 ; Copyright Sylvie Gallet, May 25, 2002 ; <sylvie_gallet(a)compuserve.com> ; t=calc time using a PII 300 at 1600 x 1200 reset=2002 type=formula formulafile=fractint.frm formulaname=inv4klein_group passes=1 center-mag=-0.758199/-1.30697/5.875157/1/142.500000000000028\ /1.31075705844807544e-014 params=2.18/3.6/0/0 float=y maxiter=1000 inside=0 proximity=2 outside=fmod periodicity=0 sound=off colors=000<163>003003003003003003004<8>005005004<44>00200100\ 1<3>000<4>K00P00S20V40<3>gH3jL4mP5pU7rZAtcEugJvkOwpUxu_ywlzz\ z } I4KLN06 { ; . t= 0:06:47.44 ; Copyright Sylvie Gallet, May 25, 2002 ; <sylvie_gallet(a)compuserve.com> ; t=calc time using a PII 300 at 1600 x 1200 reset=2002 type=formula formulafile=fractint.frm formulaname=inv4klein_group passes=1 center-mag=191.022/-164.014/0.02784725/1/140.000000000000057\ /-8.86721251980304714e-014 params=1/3/0/0 float=y maxiter=1000 inside=0 proximity=2.35 outside=fmod periodicity=0 sound=off colors=L22O44<9>L22K22K22<10>F00F00E00D00<4>B00A00900<3>7006\ 30620600<3>400300200<3>000630<92>kjilkjlkj<8>rrpssqttr<2>vvt\ wwuwwt<10>wwiwwhwwgwwfvvdwwc<26>fU6eT5eS3dR2cP0<24>UB4UA4U94\ <3>S75R66R66<11>O44 } M4KLN01 { ; . t= 0:01:11.13 ; Copyright Sylvie Gallet, May 25, 2002 ; <sylvie_gallet(a)compuserve.com> ; t=calc time using a PII 300 at 1600 x 1200 reset=2002 type=formula formulafile=fractint.frm formulaname=mod4klein_group passes=1 center-mag=0.0376176/1.29648/0.05679751/1/-127.4999999999999\ 86/2.58335020042466112e-014 params=1/2/3/4/0/1 float=y decomp=256 periodicity=0 sound=off colors=000<2>P0F<9>PHcPJfPLh<3>PSs<5>WhvXjwYmw<2>`vybyzeyz<3\ >sxzwwzF0Pzzz<3>rrvpptnnr<41>MMSMMRLLR<3>IINHHMGGL<43>222222\ 111<113>000 } KLNTL01 { ; . t= 0:02:35.66 ; Copyright Sylvie Gallet, May 25, 2002 ; <sylvie_gallet(a)compuserve.com> ; t=calc time using a PII 300 at 1600 x 1200 reset=2002 type=formula formulafile=fractint.frm formulaname=klein_tri_lattice passes=1 center-mag=-1.26480702043964400/+5.27055699730365900/175.678\ 6/1/4.99999999999930367/5.12714870559705105e-014 float=y maxiter=1023 inside=255 decomp=256 symmetry=xyaxis periodicity=0 sound=off colors=000xo4<3>xm0wl0wl0<3>vi0zz0<9>ra0q_0pX0<2>mQ0lN0jM0<7\ >QA0N80L70<3>A00<10>400300200<2>000000111<87>ssstttuuuuuuvvv\ <58>xxwxxwxxw<2>xxwyyvzzw<4>zypzyozymzxlzxjzxh<21>xqBxpAxp8x\ o7xo5 } M5KLN01 { ; . t= 0:03:10.14 ; Copyright Sylvie Gallet, May 25, 2002 ; <sylvie_gallet(a)compuserve.com> ; t=calc time using a PII 300 at 1600 x 1200 reset=2002 type=formula formulafile=fractint.frm formulaname=mod5klein_group passes=1 center-mag=-0.447835/-1.25027/14.61321/1/155.000000000000142\ /-2.03170813506403647e-013 params=1/0.6/1/1/0/1.5/2.5/0 float=y maxiter=1023 proximity=4 outside=fmod periodicity=0 sound=off colors=000<132>006006005<49>003003003<3>003000<10>07E08F08H0\ 9I0AJ0BL<26>bltcmueowfpxhrz<15>zzz }

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Re: [Fractint] FractInt under Windows XP Pro
by nick.grasso＠hrads.com 24 May '02

24 May '02

Paul N. Lee wrote: >>>I recently was in a conversation with someone about running FractInt under Microsoft's Windows XP Pro edition. And was told that they experienced a few problems at first, but now seems to be functioning quite fine.<<< I have been trying to get Fractint to work on Windows XP with no luck so far. My video card is a Dell OEM with the ATI Radeon chip. I am using the ATI generic 'reference' drivers. I am not using the Dell drivers because they don't support 1152x864. Windows XP also has built-in drivers for this chip, but I don't use them because they cause my PC to not wake up from standby mode. I have a DOS program called vgatest.exe and if I run it in a full screen DOS session, it displays all the VESA 256 color modes OK. I have fractint set to come up in 320x200x256 mode, which it does, but when I hit the Del key and pick an Auto-detect VESA mode, it starts to draw the fractal then locks the PC up. I have to do a cold boot. When it starts to draw the fractal, it looks like it is still in 320x200x256 mode. I have tried a few things but it is difficult to experiment since the PC locks up each time. I tried various Compatibility modes to no avail (but these seem to be for earlier Windows versions, not DOS). I am using the latest 20.0 official release. Does anyone think the latest developer's release would be different? Tim, if you are listening, do you have any idea why vgatest.exe would work, but not fractint? On another note, has anybody tried Virtual PC? It supposedly allows any DOS SVGA program up 1600x1200x256 to run (it emulates an S3 chip using DirectX). I have read several reviews saying that it works great but haven't heard of anyone running fractint on it. Virtual PC is $200, but you can get a free, full featured 45 day trial from their website: http://www.connectix.com Any further information would be greatly appreciated. Nick

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