From: owner-fractint-digest@lists.xmission.com (fractint-digest) To: fractint-digest@lists.xmission.com Subject: fractint-digest V1 #72 Reply-To: fractint-digest Sender: owner-fractint-digest@lists.xmission.com Errors-To: owner-fractint-digest@lists.xmission.com Precedence: bulk fractint-digest Monday, January 12 1998 Volume 01 : Number 072 ---------------------------------------------------------------------- Date: Mon, 12 Jan 1998 09:47:05 -0500 From: Jack Valero Subject: Re: (fractint) Happy New Year! At 06:59 PM 06/01/98 -0800, you wrote: >Jack.... > >This helps enormously!!!!! I modified my sstools.ini file... Glad to be of service madam. Regards - Jack visit our fractal gallery: http://www.globalserve.net/~jval/phractal.html - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 09:46:59 -0500 From: Jack Valero Subject: Re: Archiving pars/frms (was: Re: (fractint) Petals_Julia) At 08:31 AM 09/01/98 -0800, Jay Hill wrote: >Question again (I asked this a week ago). What do all you all >think would be the right way to do this? One big frm and one >big par for each of 1996, 1997. Then small ones this year? Perhaps single annual frms and monthly frms throughout the year? Regards - Jack visit our fractal gallery: http://www.globalserve.net/~jval/phractal.html - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 14:55:03 -0000 From: Edward Avis Subject: (fractint) RE: Client-server Fractint >Each server should do a 'scan' to determine the parts of the image it is assigned which are slow. >The sizes of next generation chunks could be determined for each portion using a quad division >algorithm. Yes, that would be a good idea. It seems to me that a lot of this may just be idle speculation, but it's interesting anyway, so why not: For each square, calculate the top left-hand corner. If it takes longer than say ten seconds, and depending on how "busy" other servers are, then send off the other three pieces to be calculated separately. Otherwise, calculate them ourselves. How do we calculate the top left-hand corner? Easy! Just apply the algorithm above, recursively! Of course at one point we have got to stop and actually do some calculation, the point at which we do this could be determined according to the complexity of the formula. - -- Ed Avis epa@datcon.co.uk http://members.tripod.com/~mave/index.html - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 10:39:08 -0500 (EST) From: Ian Kaplan Subject: Re: (fractint) Client-server Fractint > More complicated case: The server delegates portions of its job to other > servers as if it were itself a client. An example would be a server > receiving a request to calculate an 800x600 image and then breaking it into > three 800x200 images - it could do one and pass the other two on to other > servers. When those servers send back their work it would stitch the > results together a la Simplgif and squirt the whole lot back. > > But will there be enough servers to go round? > > Morgan L. Owens > Anyone else ever involved in the RSA decryption process? To test the security of public-key encrypting at a given number of bits, they hold a contest where groups attempt to generate the right key with a basically brute-force approach. Software that lets this task be easily distribuited among anything running UNIX is availible, and so your organization installs Linux on its washing machines and renices the process down to minimum priority; even the processing power of a washing machine adds up over time... Anyway, we've found that it's important that the process be able to run from a command line since XWindows is less than perfectly stable; but once you set that up, you find that bored employees at Sun and SGI set up their servers to run it in the evenings... no shortage at all. - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 10:26:06 -0600 From: "Damien M. Jones" Subject: Re: (fractint) article in Du Lee, - Passes=1 is the only non-guessing algorithm. The online help indicates that passes=2 generates the same image as passes=1, just doing a lower-res pass first. Is the second pass a guessing pass? I have been using passes=2 quite a bit; if it guesses on its second pass, I will need to go back and re-generate quite a few images. Damien M. Jones \\ dmj@fractalus.com \\ http://www.icd.com/tsd/ (temporary sanity designs) \\ http://www.fractalus.com/ (fractals are my hobby) - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 10:21:07 -0700 From: Rich Thomson Subject: Re: (fractint) =3D disease In article <199801100525_MC2-2EC2-6883@compuserve.com> , Les St Clair writes: > wealth of Fractint par files there is quite mind boggling!! > At the last count there was more than 550 par files (11+MB) from over 60 > artists. I can find space to mirror this on the internet if there is interest. - -- ``Between stimulus and response is the will to choose.'' -- Steven Covey =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= 3D Paint: The Power to Create in 3D; Rich Thomson email me for more info rthomson@ptc.com - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 10:38:00 -0700 From: Rich Thomson Subject: Re: (fractint) Client-server Fractint For all you parallel processing wannabes :), go download It works on unix and if you can rsh to machines on your local network you can setup compute servers on them. - -- ``Between stimulus and response is the will to choose.'' -- Steven Covey =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= 3D Paint: The Power to Create in 3D; Rich Thomson email me for more info rthomson@ptc.com - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 10:40:24 -0700 From: Rich Thomson Subject: Re: (fractint) Where is the documentation of the "reset" parameter in Fractint In article <34B97795.9CA47CB8@erols.com> , Dick Amerman writes: > The 1821 and 1950 refer to Fractint versions 18.21 and 19.5, > respectively. An older version of Fractint will have problems with a par > that uses capabilities only found in newer ones. Is there a table anywhere listing the various parameters that require a certain version and what version they require? Something like this is what I'm thinking of: reset= feature 1960 arbitrary precision 1920 center-mag Can someone fill out the table? - -- ``Between stimulus and response is the will to choose.'' -- Steven Covey =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= 3D Paint: The Power to Create in 3D; Rich Thomson email me for more info rthomson@ptc.com - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 18:51:06 +1 From: "J.P. Louvet" Subject: Re: (fractint) Client-server Fractint le 8 Jan 98 a 18:26, Bagpuss ecrivait (Bagpuss wrote) : > There is another issue as well...ie graphics modes. Windows > is very strict about screen resolutions, and would you > really want to restart your machine every time you wished to > change resolution? I don't understand. 1) DOS resolution mode are independent from Windows mode. 2) With Windows 95, if you use the Quickres utility, you can change screen resolution on the fly, without restarting the machine. PS : Happy new year all. You did not see anything from me for a long time : when I have read all the messages of this very productive list I have no time to reply !!!!!! Jean-Pierre louvet : louvet@iuta.u-bordeaux.fr Fractal album : http://graffiti.cribx1.u-bordeaux.fr/MAPBX/louvet/jpl0.html - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 19:04:20 +1 From: "J.P. Louvet" Subject: Re: (fractint) Client-server Fractint le 8 Jan 98 a 14:22, Rich Thomson ecrivait (Rich Thomson wrote) : > This is only true if you don't change the depth of the pixels. So if you > switch from 1280x1024 256 colors to 1024x768 16-bit color, you will still > have to reboot. I remember such a problem with an _old_ version of Quickres, but maybe there are problems with some cards ? Jean-Pierre louvet : louvet@iuta.u-bordeaux.fr Fractal album : http://graffiti.cribx1.u-bordeaux.fr/MAPBX/louvet/jpl0.html - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 14:20:52 -0500 From: Jack Valero Subject: (fractint) Re: Fractint versions At 10:40 AM 12/01/98 -0700, Rich wrote: >Is there a table anywhere listing the various parameters that require >a certain version and what version they require? Why not just use the latest version? I understand that the upgrade fee is remarkably reasonable :) Regards - Jack visit our fractal gallery: http://www.globalserve.net/~jval/phractal.html - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 12:27:14 -0700 From: Rich Thomson Subject: Re: (fractint) Re: Fractint versions In article <3.0.32.19980112134901.0080b790@mail.globalserve.net> , Jack Valero writes: > Why not just use the latest version? I am, that's not the reason I asked. - -- ``Between stimulus and response is the will to choose.'' -- Steven Covey =-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-=-= 3D Paint: The Power to Create in 3D; Rich Thomson email me for more info rthomson@ptc.com - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 15:03:12 -0500 From: Jack Valero Subject: Re: (fractint) Re: Fractint versions At 12:27 PM 12/01/98 -0700, you wrote: >> Why not just use the latest version? > >I am, that's not the reason I asked. Ahhh. Sorry. I thought it was a response to the probelms various people have been having as a result of using earlier versions. Regards - Jack visit our fractal gallery: http://www.globalserve.net/~jval/phractal.html - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 15:33:07 -0500 From: Les St Clair Subject: Re: (fractint) Where is the documentation of the "reset" parameter in Fractint Rich Thomson asked: >>Is there a table anywhere listing the various parameters that require >>a certain version and what version they require? Something like this >>is what I'm thinking of: >> reset=3D feature >> 1960 arbitrary precision >> 1920 center-mag >>Can someone fill out the table?< It's all listed in the Fractint Revision History. This is in appendix G of "fractint.doc" and also in the "new features in 19.6" section of the on-line help (press F1 twice to get there). - - Les - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 23:05:52 +0100 From: "Jacco Burger" Subject: Re: (fractint) article in Dutch Newspaper I have send the same message (without the parfile, only readers of this mailinglist have that privalige :-) ) to the newsgroups alt.binaries.pictures.fractals,alt.fractals.pictures,sci.fractals, in which I wrote: >today's issue of the Volkskrant has an article about >Prof.dr. David Avnir who says that there are no real fractals in nature Here follow some replies from these newsgroups: In reply simeon@better.net.au wrote: > > Any volunteers to translate? > I am not sure if he refers to my message, or to the article in the dutch newspaper. But in reply, F.J. Slijkerman wrote a translation of my message: >Here it is, I can't believe it: > >In the Volkskrant of Saturday January 10 there is an article named >"Myth of broken reality". It's about Prof. Dr. David Avnir who claims >nature cannot be described using fractal geometry. The Volkskrant >offers the following summary: > >In the beginning of the 80's Benoit Mandelbrot found a mathematical >description of the English coastline. It is between a line and a >plane. Scientists have discovered such fractals everywhere since then. >But in fact they are mainly seeing non-existing things -- their >conclusions are wrong. > >[I have no dictionary currently :( ] > >Regards, >Frederik. > Quite a good translation, I think. In reply Ray Girvan wrote: >Check out http://neon.cchem.berkeley.edu/~dani/abstract9.html for an >abstract of the source paper, "On the Abundance of Fractals". > >His essential argument seems to be that empirically observed fractals >span about 1.5-2 orders of magnitude: an observation that he claims >can be explained in terms of random distribution of the 'building >blocks' involved [rather than some underlying fractal rule]. > >Ray >ray.girvan@zetnet.co.uk >Technical Author / Journalist +++ Topsham, Devon, UK >http://www.users.zetnet.co.uk/rgirvan Hope this helps. Though I am not sure anymore what the problem is. 8-( Bye! Jacco e-mail Jacco.Burger@kabelfoon.nl visit my fractal gallery at http://wwwserv.caiw.nl/~jaccobu/index.htm - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 13 Jan 1998 11:24:08 +1300 From: "Morgan L. Owens" Subject: Re: (fractint) article in Dutch Newspaper At 17:40 10/01/98 +0100, Jacco Burger wrote: > >(english summary: today's issue of the Volkskrant has an article about >Prof.dr. David Avnir who says that there are no real fractals in nature) > His homepage is http://chem.ch.huji.ac.il/employee/avnir/iavnir.htm It doesn't seem to have anything to say on the "no real fractals in nature" thing, but there are abstracts of his papers on the subject. - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 13 Jan 1998 11:46:08 +1300 From: "Morgan L. Owens" Subject: Re: (fractint) RE: Client-server Fractint At 14:55 12/01/98 -0000, Edward Avis wrote: >>Each server should do a 'scan' to determine the parts of the image it is >assigned which are slow. >The sizes of next generation chunks could be >determined for each portion using a quad division >algorithm. > >Yes, that would be a good idea. It seems to me that a lot of this may just >be idle speculation, but it's interesting anyway, so why not: > >For each square, calculate the top left-hand corner. If it takes longer >than say ten seconds, and depending on how "busy" other servers are, then >send off the other three pieces to be calculated separately. Otherwise, >calculate them ourselves. > >How do we calculate the top left-hand corner? Easy! Just apply the >algorithm above, recursively! Of course at one point we have got to stop >and actually do some calculation, the point at which we do this could be >determined according to the complexity of the formula. > I'm just wondering if there might be some more sophisticated way of breaking the task down that will distribute the server workload more fairly. I thought this because the approaches that divide the image up into chunks ignores any defined symmetries of the fractal. I know that multitasking makes up for much of the difference, but we may still be calculating up to four times as much as we need to. This could be resolved by having the server check for symmetries in the (sub)image it's given to compute, and delegating tasks accordingly but I still wonder. I thought perhaps instead of contiguous blocks an interlaced approach could be used, so that the points being calculated by each server are spread evenly over the entire image. Kind of subidividing the task upwards instead of down. That's just off the top of my head and not really what I'm getting at. A more sophisticated multitasking model would require more sophisticated protocols: the present idea could be done simply by passing pars/formulas and gifs back and forth, while something else may need to carry information on orbits back and forth. "I'm up to here... it still needs this done..." Someone more familiar with the Fractint engine may be able to provide more constructive suggestions along these lines than myself. Morgan L. Owens - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 13 Jan 1998 00:03:44 +0100 From: "Jacco Burger" Subject: Re: (fractint) article in Dutch Newspaper I wrote > only readers of this mailinglist have that privalige Sorry, 'privilege' that is. Somtims I mayke miztaiks. Bye! Jacco e-mail Jacco.Burger@kabelfoon.nl visit my fractal gallery at http://wwwserv.caiw.nl/~jaccobu/index.htm - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 15:50:45 -0800 From: kathy roth Subject: (fractint) Re: Tim's_Fract Jay Hill wrote > >> The truth is that you don't need any mathematical knowledge to fool >> with formulas, just enough knowledge of the formula language to write >> formulas that are syntactically correct....... I have been playing around with the formulas fora little while now, enough to see that you can throw in a "cos(z)" or whatever without having an idea what the function is or what it might look like, and it is a lot of fun to do that. I notice some things like if you choose tan as the function, it tends to have a certain look and I can kind of see that without understanding why that might be, but I would actually like to understand the math of it better because it is interesting. Sometimes I throw in a bunch of extra terms expecting it to give a more complex, or maybe I should say "complicated" picture, and it will end up being a circle or a blank screen, and sometimes I can see why. (But usually not!) I have been fooling around with the FGZ-Julia formulas by Michael Wareman posted to this list by Wizzle and I found one that had sort of a 3-way radial symmetry in all the little meeting points and I was wondering how you would write a formula that had 4-way or 5-way symmetry at those points and it turned out that subsequent formulas in the series had exactly that. The weird thing is that the only thing that is different between them is the value of the constant c. I would have thought that to change a 3-pointed star to a 5-pointed star you would have to change the number of variables or add a function or something, not just change a constant. I'm curious about what the people who understand all this can envision when they see a formula. 5-way { ; 5-way symmetry ; formula FGZ-Julia-9 reset=1960 type=formula formulafile=notew1.frm formulaname=FGZ-Julia-9 center-mag=-1.00128/0.375621/6.666359/1.0001 fillcolor=0 decomp=2048 colors=000MKHMMI000<16>C81D92FB3<2>LG4OI5QK7<12>vlYxn_yo`zpawn_ukY<16>bV\ H000<22>000000223<5>HHNKKQNNTQQXTT_<6>ilploslpr<14>OI5<11>pgTriVulYxn_zp\ a<4>jdWgaVcZT`WSYUR<3>KJNHGMGFL<10>724602702<20>Q08R09S09T0AU0A<6>`0Da0D\ b2D<14>zVF<10>hAEaI9<6>xTF<8>H3AC09908<6>KBDMDEMFFMHG } 4-way { ; 4-way symmetry ; formula FGZ-Julia-6 reset=1960 type=formula formulafile=notew1.frm formulaname=FGZ-Julia-6 center-mag=1.03307/-0.25166/18.72866/0.9999 fillcolor=0 colors=0000dL<7>0zW<7>0JJ<14>0xx0zz2tt<6>JE9<15>yjU<7>BJF<15>_zn<6>LO3<8\ >px9<5>KMGFGIBBM<14>WWz<7>J9J<15>zWz<7>J09<15>z0W<7>J90<15>zW0<7>JJ0<15>\ zz0<7>99J<15>WWz<7>0J9<6>0bJ } 3-way { ; 3-way symmetry ; formula FGZ-Julia-5 reset=1960 type=formula formulafile=fractint.frm formulaname=FGZ-Julia-5 center-mag=1.14479/-0.204081/54.65114/0.9996 fillcolor=0 decomp=2048 colors=000VRQ<3>HGM<11>724602702<20>Q08R09S09T0AU0A<6>`0Da0Db2D<14>zVF<1\ 0>hAEaI9<6>xTF<8>H3AC09908<6>KBDMDEMFF<2>MMILPKNRM<9>kmn<6>D92<3>LG4OI5Q\ K7<12>vlYxn_yo`zpa<14>OI5000<27>000<7>KKQNNTQQXTT_VWa<3>dfkginhjn<2>kmn<\ 13>OI5<11>pgTriVulYxn_zpa<4>jdWgaVcZT`WSYUR } aaaaghhh { ; you don't want it in your shower ; formula FGZ-Julia-7 reset=1960 type=formula formulafile=notew1.frm formulaname=FGZ-Julia-7 center-mag=-0.405487/-0.160257/3.205208 fillcolor=0 decomp=2048 colors=000OI5<11>pgTriVulYxn_zpa<4>jdWgaVcZT`WSYUR<3>KJNHGMGFL<10>724602\ 702<20>Q08R09S09T0AU0A<6>`0Da0Db2D<14>zVF<10>hAEaI9<6>xTF<8>H3AC09908<6>\ KBDMDEMFF<2>MMI000<16>C81D92FB3<2>LG4OI5QK7<12>vlYxn_yo`zpawn_ukY<16>bVH\ 000<22>000000223<5>HHNKKQNNTQQXTT_<6>ilploslpr<13>QK8 } FGZ-Julia-5 { z = c = pixel: z = z * z + (-1.1266, 0.2666); z = (3 * z * z) / (z + 3) + (-1.1266, 0.2666), |z| <= 4 } FGZ-Julia-6 { z = c = pixel: z = z * z + (-0.97, 0.2709); z = (3 * z * z) / (z + 3) + (-0.97, 0.2709), |z| <= 4 } FGZ-Julia-7 { z = c = pixel: z = z * z + (-0.6908, 0.1185); z = (3 * z * z) / (z + 3) + (-0.6908, 0.1185), |z| <= 4 } FGZ-Julia-8 { z = c = pixel: z = z * z + (-0.5892, 0.0549); z = (3 * z * z) / (z + 3) + (-0.5892, 0.0549), |z| <= 4 } FGZ-Julia-9 { z = c = pixel: z = z * z + (-0.4919, 0.4572); z = (3 * z * z) / (z + 3) + (-0.4919, 0.4572), |z| <= 4 } - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 18:53:53 -0500 From: Les St Clair Subject: Re: (fractint) =3D disease and distributing those pars In reply to >>>At the last count there was more than 550 par files (11+MB) from over 60 artists.<<< Morgan L. Owens said >>We should have multiple archives for this sort of thing... And don't forget all those formula and map files as well - and how many ifs and L-systems are there in the forum?<< >>Come on now, don't hog them all for yourselves!<< Hi Morgan, Formulas first: I think that just about every publicly available Fractint= formula has been lovingly compiled into the indispensible "Orgform" collection by George Martin. Get it from: http://spanky.triumf.ca/pub/fractals/programs/ibmpc/orgfrm.zip = As for Fractint par files from the GraphDev library at CompuServe, some are already available on the individual web sites of artists such as= Brian E. Jones and Sylvie Gallet. My collection, too, is available from: http://ourworld.compuserve.com/homepages/Les_StClair/ (shameless plug :-) The problem with the bulk of the CS archive (in my opinion) is that we do= not have the right to re-publish these files without the consent of their= authors. If there is enough interest, I would be willing to contact a few= of my favourite fractallers and seek permission to make their files available at my own site (space permitting), or though any other = interested party. cheers, Les (p.s. this is a re-post. 1st one bounced!) - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 18:35:33 -0600 From: "Tim Wegner" Subject: (fractint) parser debugger Ben, Interesting idea, might hbe useful. Tim > I was wondering if there is an easy way (easier than by hand) to > find the values of variables in a formula. Perhaps future versions of > fractint could include a debug formula option which would dump values over > succesive iterations to text files. > > > :) Ben > Ben Leighton, B.Leighton@student.anu.edu.au - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 19:34:36 -0500 From: "Jason Hine" Subject: Re: (fractint) article in Dutch Newspaper All, >At 12:43 AM 12/01/98 -0500, Paul wrote: >>>(english summary: today's issue of the Volkskrant has an article about >>>Prof.dr. David Avnir who says that there are no real fractals in nature) > >>But isn't this a well-known fact? I thought it "obvious" that self-similar >>and other fractal-dimensional scaling phenomena in nature are only such >>over a finite range of scales. The article can be found in the 2 January 1998 issue of Science, "Is the Geometry of Nature Fractal?" by David Avnir, Ofer Biham, Daniel Lidar, Ofer Malcai. As has been noted by others, Avnir's group's main argument is that natural phenomena are only self-similar over a finite range of scales (orders of magnitude), whereas a mathematical fractal, and therefor the true definition of fractal, means that a structure is self-similar over an infinite range of scales. This was known to Sir Mandelbrot; I do not think he claims that natural processes can be exactly modeled with scaling power laws, but that the concepts of fractal geometry do well to approximate natural systems, in simpler terms than a Euclidean approximation. Avnir et. al. recognizes this advantage in the article. Personally, I am excited for the work done by Avnir and assoc., because it may help direct attention to the fact that natural systems do not scale infinitely, they seem (to me) to 'fuzz' into another or other systems, which are well described by a different set of power laws, and so on. Each 'system' - they are not really separate systems but subsystems imbedded in the Big System - has a set of scales or scale at which they are best described by a certain power law... could this be described as an attractor of a sort? And the big question: how does one connect two 'separate but consecutive' sysems through their power laws? In my mind there is an analogy here as if one were trying to determine the position and orientation of a mini-Mset by the pattern of filaments closely surrounding it.... but that's just my mind, and though this may be on topic, it's still unbacked blathering, so I'll cease. Trees, Jason - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 12 Jan 1998 13:08:57 -0800 From: "Jay Hill" Subject: (fractint) Julia Sets, Orbits and Siegel disks Julia Sets, Orbits and Siegel disks. (c) Jay R. Hill, 1998 They say the Mandelbrot set is a map showing us the collection of possible Julia sets. So let us take advantage of this as we use Fractint to explore both. In this memo, I shall explore and explain some of the hard to understand topics found in such books as are found on the coffee tables of fractal junkies. Many of us have these books and enjoy the images. But when it comes to the text, well that, we say to ourselves, is there to impress the guests. And we resolve to, some day real soon now, read it and figure it out. In the mean while, we just continue to subscribe to sci.fractals and Fractint email lists. And, if they ever get back on topic, maybe it all will become clear. :-) We are interested in iteration formula, iterating a complex number, z, using some function of z and another parameter, c. (1) z = f(z, c). When f in eqn 1 is z^2+c, we get the Julia set and Mandelbrot set, depending on whether we fix the initial z or fix c for a picture. There are several formula in this memo which will be useful to help quantify some of the concepts we shall explore. Special effects will require careful evaluation of certain parameters using these formula for our images to come out right. The iteration or orbit of z, which depends on c, can behave in one of four ways: 1) repeat in a cycle, 2) converge to a cycle, 3) diverge to infinity, or 4) wander in a wigglely curve. Save this whole file as a par file, run Fractint and choose the Mandelbrot_set image (below). Use a high resolution setting with 256 colors. When it finishes computing, press the space bar and then the 'o' key. This will show the orbits of eqn 1 in the lower right corner where the value of c is chosen by moving the '+' symbol around on the Mandelbrot set. Mandelbrot_set { ; (C) Jay Hill, 1998 ; Turn on orbits and watch... reset=1960 type=mandel center-mag=-0.5/0/0.4 params=0/0 float=y maxiter=1280 inside=bof60 outside=0 colors=000000<13>www<30>CCCAAAAAA<45>lllmmmmmmmmm<155>www000000 } Try moving the '+' symbol around and explore the shape of the orbit. Move it to the central dark part in the central part of the cardioid. At this point, c=0 and the orbit is of type 1), a single dot, z=0. It is periodic with a period of 1. Now move it over to almost the center of the big circle left of the cardioid, here c=-1 and the orbit is two dots, z=-1, 0. The orbit is again type 1) with period 2. As the '+' moved from the cardioid into the circular bud, the orbit changed from converging to a single point to converging to two points. The orbit went from period 1 to period 2, the transition taking place as c crossed the boundary -.75. Notice that the convergent points, a, also changed, depending on c. It can be shown that these convergent points are (2) a1 = +0.5 - sqrt(+0.25-c); c in the cardioid a21 = -0.5 + sqrt(-0.75-c); c in the circle. a22 = -0.5 - sqrt(-0.75-c); How can we tell, without iterating eqn 1, which component (cardioids and circular buds are called components) c is in? I give here a simple formula with which you can test this. Let s = [abs(c)]^2. Then c is in the cardioid if (3) (256s - 96)s + 32 Real(c) <= 3. Or c is in the circle if (4) 16s + 32 Real(c) + 16 <= 1. Now let's move the '+' off the real line up toward the period 3 bud sitting on top of the cardioid. Move from in the cardioid, but just below the bud, across edge of the cardioid and into the bud. Observe the orbit pattern develop into a three pointed star and separate into three separate convergent areas. These three areas collapse onto three points, call these, a31, a32, a33, when we move the center of the bud. Press space bar to return to Julia set display (lower right corner) and repeat. Observe the shapes of the Julia set. See a single curve when the '+' is in the cardioid, a row of shapes when in the circle left of the cardioid. With c in the period 3 bud above the cardioid, we see a flower shape featuring triples patterns with petals joining in threes. There is a relationship between the orbits (three groups) and these petals. Notice that the orbits converged into the same areas as three of the petals occupy. The Julia set display shows points in the z plane for which the orbit does not diverge. Consider an initial test point z0 which is in one of the Julia set petals. Its orbit spirals around converging to one, say, a31, at the center of a petal. Every point in the orbit can be considered an initial z, just like z0, each with an orbit converging to a31. Therefore, every one of these orbit points must also be inside a petal. Notice there are more than three petals in this Julia set. All contain z which after a few iterations jump into one of the first three petals joining the others in their convergent path. It is most interesting to explore, with the '+', the cardioid and circle edges. For it is here that the orbits become very intricate and tend to fill their Julia set petals. In fact, it is right on the very edge that we get type 4) orbits (which wander in a wigglely curve). These orbits do not converge to one of a set of points, but remain 'indifferent', being neither 'repelling' nor 'attractive'. And their Julia set petals, called Siegel disks, are very different. Siegel_Gold { ; (C) Jay Hill, 1998 ; Turn on orbits and watch... reset=1960 type=julia passes=1 center-mag=0/0/0.85 params=0.3253814503389081470/0.0535920759383226465 float=y maxiter=150000 inside=bof60 outside=0 colors=000000<13>www<30>CCCAAAAAA<45>lllmmmmmmmmm<155>www000000 savename=Siegel_G } An example is Siegel_Gold. Start the display in Fractint, turning on the orbits right away (press 'o'). Notice the orbit seems to almost fill a region which, as the Julia set is drawn, lies in one of the petals. The orbits do not converge to points, but rather, cycle endlessly around the convergent points in 'circular' orbits. Each iteration moving around the convergent point by an angle, the same angle as the interior angle, not a surprise. Also observe the attachment points of the petals are not sharp. This is the Siegel disk, a nicely connected shape, distinctly different from the other Julia sets where regions join at points. When the picture is complete, press space bar to see the Mandelbrot set. Now press the space bar again and the '+' will be located at c, corresponding the Julia set. This value of c is right on the boundary of the cardioid but does not touch one of the attached buds. Buds are attached at points for which the 'interior' angle is a rational multiple of 2*pi. The Siegel_Gold c was found using the golden ratio to get an irrational angle and the resulting Siegel disks. Any irrational interior angle will get Siegel disks when applied to any Mandelbrot set component. Irrational angles created from roots of quadratic equations (having the form r = (L + sqrt(M))/N, where L, M, N are integers) are of interest since they lend themselves to certain proofs about Siegel disks. As far as we are concerned, when we want to make interesting fractal pictures, any irrational or transcendental angle will do. For example, the arc tangent function produces these angles. Just take atan(M/N), where M and N are integers. A convenient way to get these integers and at the same time control the shape of the Siegel disk is to choose coordinates right off the edge of the Mandelbrot set in Fractint. Zoom into an interesting region near the edge of the cardioid (elephant valley, c=-.25), or the circle (sea horse valley, c=-.75, scepter valley, c=-1.25). Note the center coordinates, c0, (press z, then F6 to see the values). I have created a small MSDOS program which normalizes these coordinates to the nearest edge of the cardioid or circle. The new calculated c will give a Siegel disk. Here is the pseudo-code for the program, SIEGEL.EXE. - ----------------------------------------- for c in cardioid: c0=complex(x, y); w0 = (1 - sqrt(1-4*c0))/2; z = log(2*w0); w=.5*exp(complex(0.,imag(z))); c = w*(1-w); convergence point: a =+0.5-sqrt( 0.25-c); for c in big bud: c0=complex(x, y); w0 = 1 + c0; z = log(4*w0); c = -1+.25*exp(complex(0.,imag(z))); convergence points: a = -0.5+-sqrt(-0.75-c) - ----------------------------------------- You may down load the program here. http://home.san.rr.com/jayrhill/SIEGEL.ZIP Jay PS Enjoy some Siegel disks.... Julia047-bof60 { ; (C) Jay Hill, 1998 ; Turn on orbits and watch... reset=1960 type=julia center-mag=-5.55112e-016/6.66134e-016/0.94375 params=-0.47/0.54 float=y maxiter=1500 inside=bof60 outside=0 colors=000000<13>www<30>VVVUUUUUUUUU<205>000 savename=J47-60 } Julia080-bof60 { ; (C) Jay Hill, 1998 ; Turn on orbits and watch... reset=1960 type=julia passes=1 center-mag=-1.33227e-015/8.88178e-016/0.85 params=-0.8/0.15 float=y maxiter=1500 inside=bof60 outside=0 colors=000000<13>www<30>CCCAAAAAA<45>lllmmmmmmmmm<155>www000000 savename=J80-60 } Julia076-bof60 { ; (C) Jay Hill, 1998 ; Turn on orbits and watch... reset=1960 type=julia passes=1 center-mag=-1.33227e-015/8.88178e-016/0.85 params=-0.76/0.07 float=y maxiter=1500 inside=bof60 outside=0 colors=000000<13>www<30>CCCAAAAAA<45>lllmmmmmmmmm<155>www000000 savename=J76-60 } Julia074-bof60 { ; (C) Jay Hill, 1998 ; Turn on orbits and watch... reset=1960 type=julia passes=1 center-mag=-1.33227e-015/8.88178e-016/0.85 params=-0.7456841472/0.0757307904 float=y maxiter=1500 inside=bof60 outside=0 colors=000000<13>www<30>CCCAAAAAA<45>lllmmmmmmmmm<155>www000000 savename=J74-60 } Julia035-bof60 { ; (C) Jay Hill, 1998 ; Turn on orbits and watch... reset=1960 type=julia passes=1 center-mag=-1.33227e-015/8.88178e-016/0.85 params=0.3508/0.3456 float=y maxiter=150000 inside=bof60 outside=0 colors=000000<13>www<30>CCCAAAAAA<45>lllmmmmmmmmm<155>www000000 savename=J35-60 } Julia026-bof60 { ; (C) Jay Hill, 1998 ; Turn on orbits and watch... reset=1960 type=julia passes=1 center-mag=-1.33227e-015/8.88178e-016/0.85 params=0.2514358528/0.0001092096 float=y maxiter=150000 inside=bof60 outside=0 colors=000000<13>www<30>CCCAAAAAA<45>lllmmmmmmmmm<155>www000000 savename=J26-60 } Julia025-bof60 { ; (C) Jay Hill, 1998 ; Turn on orbits and watch... reset=1960 type=julia passes=1 center-mag=-1.33227e-015/8.88178e-016/0.85 params=0.25/0.5 ; periodicity=0 float=y maxiter=1500 inside=bof60 outside=0 colors=000000<13>www<30>CCCAAAAAA<45>lllmmmmmmmmm<155>www000000 savename=J25-60 } Julia100-bof60 { ; (C) Jay Hill, 1998 ; Turn on orbits and watch... reset=1960 type=julia passes=1 center-mag=-1.33227e-015/8.88178e-016/0.8 params=-1.0/0.25 ; periodicity=0 float=y maxiter=1500 inside=bof60 outside=0 colors=000000<13>www<30>CCCAAAAAA<45>lllmmmmmmmmm<155>www000000 savename=J100-60 } Julia124-bof60 { ; (C) Jay Hill, 1998 ; Turn on orbits and watch... reset=1960 type=julia passes=1 center-mag=-1.33227e-015/8.88178e-016/0.75 params=-1.2446176/0.0515968 ; periodicity=0 float=y maxiter=256 inside=bof60 outside=0 colors=000000<13>www<30>CCCAAAAAA<45>lllmmmmmmmmm<155>www000000 savename=J124-60 } Julia125-bof60 { ; (C) Jay Hill, 1998 ; Turn on orbits and watch... reset=1960 type=julia passes=1 center-mag=-1.33227e-015/8.88178e-016/0.75 params=-1.24928/0.01896 periodicity=0 float=y maxiter=80 inside=bof60 outside=0 colors=000000<13>www<30>CCCAAAAAA<45>lllmmmmmmmmm<155>www000000 savename=J125-60 } - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ End of fractint-digest V1 #72 *****************************