August 2009 - Fractint - mailman.xmission.com

Disk Video mode of 12,000 x 12,000 pixels tried
by Hal Lane 08 Aug '09

08 Aug '09

The Benoit Mandelbrot Fractal Art Contest 2009 rules: http://www.fractalartcontests.com/2009/rules.php say: "Some images may be selected for printing at even larger size (12000 pixels in the largest dimension) so entrants would do well to be aware of the size requirements." To test Fractint's current large image abilities I created a Disk Video mode of 12,000 x 12,000 pixels for my DOS 20.0 Fractint by adding a line to my FRACTINT.CFG file and used it to create Fractint's default Mandelbrot set. Amazingly, it took only a minute and 30 seconds to calculate the 144 million pixels using my 2.2 GHz AMD processor. Encoding the .GIF format file while saving it seemed to take about a minute. Fractint chose to write directly to my hard disk using a 54 KB 'Fractint cache size.' The resulting .GIF image was a well-formed 4.4 MB file -- with a *lot* of detail in it. (But not as much as in a typical zoom.) I was able to easily pan and scroll around in the 12,000 x 12,000 .GIF image using my image viewing program, CompuPic. The image aspect ratio was stretched slightly vertically since I specified a 'square' output image instead of the usual 4 x 3 aspect ratio (that would be 12,000 x 8,000 pixels here). I also created a 12,000 x 8,000 pixel image which had the expected aspect ratio and shape of the Mandelbrot set. - Hal Lane ######################### # hallane(a)earthlink.net # #########################

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Stitching together images for the Fractal contest
by Hal Lane 08 Aug '09

08 Aug '09

Maryetta Campbell mentions two apps that don't appear to join images together horizontally and vertically as needed for the current Fractal contest: http://www.321slideshow.com/gif-joiner.htm Web page says: output format: AVI http://www.amath.washington.edu/~jsk/giffo.html Web page says: produce an animation What's needed is software for "putting together multiple raster images (stitching)." Fractint can create ultra large images in at least two ways. Fractint for Windows beta 5 --------------------------- One of the default output sizes for images in Fractint for Windows beta 5 (*not* WinFract) is 8192 x 8192. I have successfully created images of that size. It can likely create even larger sizes without problems, since it uses Windows-style memory management. Use its configuration file to specify the desired image resolution of a new "Disk Video" mode. A description of the Fractint for Windows beta and the program are available here: http://legalizeadulthood.wordpress.com/2007/04/13/fractint-for-windows-beta- 5/#more-7 or, if the above URL gets cut into pieces: http://tinyurl.com/n4ynl5 A couple of the comments posted on the above web page say that the program is faster than the DOS version running under Windows. That said, remember that it is a beta. There are a number of comments and responses about the beta version to and from the author of Fractint for Windows on the Fractint Developer's List: http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractdev or http://tinyurl.com/lf9sgk Fractint for DOS "X and Y Multiples" ------------------------------------ The Fractint 20.0 for DOS docs say this about the stitching capabilities of the program when using the "b" command: ======================================================================== "X Multiples - How many divisions of final image in the x direction Y Multiples - How many divisions of final image in the y direction Video mode - Fractint video mode for each piece (e.g. "F3") The last item defaults to the current video mode. If either X Multiples or Y Multiples are greater than 1, then multiple numbered PAR entries for the pieces are added to the PAR file, and a MAKEMIG.BAT file is created that builds all of the component pieces and then stitches them together into a "multi-image" GIF. The current limitations of the "divide and conquer" algorithm are 36 or fewer X and Y multiples (so you are limited to "only" 36x36=1296 component images), and a final resolution limit in both the X and Y directions of 65,535 (a limitation of "only" four billion pixels or so). The final image generated by MAKEMIG is a "multi-image" GIF file called FRACTMIG.GIF. In case you have other software that can't handle multi-image GIF files, MAKEMIG includes a final (but commented out) call to SIMPLGIF, a companion program that reads a GIF file that may contain little tricks like multiple images and creates a simple GIF from it. Fair warning: SIMPLGIF needs room to build a composite image while it works, and it does that using a temporary disk file equal to the size of the final image - and a 64Kx64K GIF image requires a 4GB temporary disk file! This is how a particular "named group of parameters" in a .PAR file is invoked as is used in the file MAKEFIG.BAT: @FILENAME Causes Fractint to read "filename" for parameters. When it finishes, it resumes reading its own command line -- i.e., "FRACTINT MAXITER=250 @MYFILE PASSES=1" is legal. This option is only valid on the DOS command line, as Fractint is not clever enough to deal with multiple indirection. @FILENAME/GROUPNAME Like @FILENAME, but reads a named group of parameters from a parameter file." ======================================================================== I used the "b" command in Fractint and specified 3 'X' multiples and 2 'Y' multiples. I did this just after running Jim Muth's Fractal of the Day for Aug 3, 2009 by creating a file named: F090803.PAR and invoking it inside Fractint by using the key sequence: "@", "F6". F090803.PAR contained his image's parameter spec and the formula needed for the image. The "b" command created the file MAKEMIG.BAT and added six parameter 'sets' (image creation specs) (named groups of parameters) to the bottom of my existing F090803.PAR and named them: The_Worm_Turns3X2_00 The_Worm_Turns3X2_01 The_Worm_Turns3X2_10 . . . The_Worm_Turns3X2_21 (See the portion of the file F090803.PAR I put below.) ------------------------------------------------------------- It appears that Fractint does the heavy lifting when it executes the "b" command. It: - Creates the MAKEMIG.BAT file - Adds six parameter 'sets' to the existing .PAR file And when the MAKEMIG.BAT file is run in a DOS command window: - The pieces of the image are created (you see Fractint open and run) - Six temporary files named: frmig_00.gif, frmig_01.gif, etc. are written and eventually deleted. - Fractint stitches the six images together when the following command is executed in the .BAT file: FRACTINT MAKEMIG=3/2 (It writes out an image file named: FRACTMIG.GIF.) - I manually entered the following command in a command window: SIMPLGIF FRACTMIG.GIF SIMPLGIF.GIF to create the final output SIMPLGIF.GIF file. (SIMPLGIF.EXE is provided with the Fractint 20.0 distribution.) Alternatively, you could remove the "Rem " and "in case you need it" from the line provided in the MAKEMIG.BAT file. ------------------------------------------------------------- MAKEMIG.BAT: Note: "MIG" in MAKEMIG stands for "Multi-Image Gif." Fractint created this MAKEMIG.BAT file: ======================================= Fractint batch=yes overwrite=yes @C:\Program Files\_ Graphics\Fractint for Windows\pars\F090803.PAR/The_Worm_Turns3x2_00 If Errorlevel 2 goto oops Fractint batch=yes overwrite=yes @C:\Program Files\_ Graphics\Fractint for Windows\pars\F090803.PAR/The_Worm_Turns3x2_01 If Errorlevel 2 goto oops Fractint batch=yes overwrite=yes @C:\Program Files\_ Graphics\Fractint for Windows\pars\F090803.PAR/The_Worm_Turns3x2_10 If Errorlevel 2 goto oops Fractint batch=yes overwrite=yes @C:\Program Files\_ Graphics\Fractint for Windows\pars\F090803.PAR/The_Worm_Turns3x2_11 If Errorlevel 2 goto oops Fractint batch=yes overwrite=yes @C:\Program Files\_ Graphics\Fractint for Windows\pars\F090803.PAR/The_Worm_Turns3x2_20 If Errorlevel 2 goto oops Fractint batch=yes overwrite=yes @C:\Program Files\_ Graphics\Fractint for Windows\pars\F090803.PAR/The_Worm_Turns3x2_21 If Errorlevel 2 goto oops Fractint makemig=3/2 Rem Simplgif fractmig.gif simplgif.gif in case you need it :oops I modified my MAKEMIG.BAT file as follows: (Note that the "3x2" has been deleted. I comment on this later.) Fractint batch=yes overwrite=yes @F090803.PAR/The_Worm_Turns_00 If Errorlevel 2 goto oops Fractint batch=yes overwrite=yes @F090803.PAR/The_Worm_Turns_01 If Errorlevel 2 goto oops Fractint batch=yes overwrite=yes @F090803.PAR/The_Worm_Turns_10 If Errorlevel 2 goto oops Fractint batch=yes overwrite=yes @F090803.PAR/The_Worm_Turns_11 If Errorlevel 2 goto oops Fractint batch=yes overwrite=yes @F090803.PAR/The_Worm_Turns_20 If Errorlevel 2 goto oops Fractint batch=yes overwrite=yes @F090803.PAR/The_Worm_Turns_21 If Errorlevel 2 goto oops Fractint makemig=3/2 Rem Simplgif fractmig.gif simplgif.gif in case you need it :oops F090803.PAR (excerpt) ===================== . . . frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), aa=-(real(p5)-2), bb=(imag(p5)+0.00000000000000000000001), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)/(z^(aa)+bb)+c |z| < 1000000 } The_Worm_Turns_00{ ; Hal Lane Aug 06, 2009 time=0:00:22 ; F090803.PAR is Jim Muth's orig file. ; 3 'X' multiples ; 2 'Y' multiples Video = F5 (640x480) ; Fractint Version 2099 Patchlevel 8 reset=2099 type=formula formulafile=F090803.PAR formulaname=dividejulibrot center-mag=4.57011/0.278067/3.603758/1.5 params=89.980000000000004/0/89.980000000000004/0/-0.770\ 00000000000002/0/0/0/1.05/1.5 float=y maxiter=600 inside=0 logmap=25 periodicity=10 sound=off colors=000I6I<6>PKP<4>UUU<3>mmmzzzzzzzzzmmmmmmcccUUUPRo\ MDUBIB<2>ZG8c32<2>hNAmR0kS6iTCkQ9mNC<3>mZOmaRrdUre_rgbq\ ddpb`q`YrYUtWQwUNzRL<3>zFDzDBzHPzLazOnzHZzAKzF5zF8<3>za\ HzgKzmMzmOzmZzmZzmd<2>zmXzhLzcKzZKzeK<2>zZH<3>zhgzjnzlt\ <3>zRhzLezGbzB`zNkzYvzWizVYzMOzDFvPIr_KmVRZQYcLd<3>KUoM\ Wl<3>QEQK9UO5YS1bb0fl0z<3>NlzrzzjwzeszUqzPmzQkzN`zKRzHG\ uF6pJ9kNCk<2>XJz2oz9izFczFpz<3>FTzFOzJSz<3>WczZfzWez<3>\ ObzLdzJez5sz<3>TUzZNzcHz<3>SPzhaz<3>JOzDKz1Bz<3>PWzVaz`\ fzfkzf8zkpz<4>SkzOjzHlz<3>RdzTbzW`zYZzScz_Xz<3>RnzOMz<2\ >OUzJ1z<3>PezKyz<3>WfzZbzaYzYYz<2>dUztRz<3>aUzXVzTVzOWz\ 70z<3>OfzsBzUvzSpzQjzhqzWhz<2>BZz0_z video=F5 savename=frmig_00 } The_Worm_Turns_01{ ; Hal Lane Aug 06, 2009 time=0:00:22 ; F090803.PAR is Jim Muth's orig file. ; 3 'X' multiples ; 2 'Y' multiples Video = F5 (640x480) ; Fractint Version 2099 Patchlevel 8 reset=2099 type=formula formulafile=F090803.PAR formulaname=dividejulibrot center-mag=4.57011/-0.278067/3.603758/1.5 params=89.980000000000004/0/89.980000000000004/0/-0.770\ 00000000000002/0/0/0/1.05/1.5 float=y maxiter=600 inside=0 logmap=25 periodicity=10 sound=off colors=000I6I<6>PKP<4>UUU<3>mmmzzzzzzzzzmmmmmmcccUUUPRo\ MDUBIB<2>ZG8c32<2>hNAmR0kS6iTCkQ9mNC<3>mZOmaRrdUre_rgbq\ ddpb`q`YrYUtWQwUNzRL<3>zFDzDBzHPzLazOnzHZzAKzF5zF8<3>za\ HzgKzmMzmOzmZzmZzmd<2>zmXzhLzcKzZKzeK<2>zZH<3>zhgzjnzlt\ <3>zRhzLezGbzB`zNkzYvzWizVYzMOzDFvPIr_KmVRZQYcLd<3>KUoM\ Wl<3>QEQK9UO5YS1bb0fl0z<3>NlzrzzjwzeszUqzPmzQkzN`zKRzHG\ uF6pJ9kNCk<2>XJz2oz9izFczFpz<3>FTzFOzJSz<3>WczZfzWez<3>\ ObzLdzJez5sz<3>TUzZNzcHz<3>SPzhaz<3>JOzDKz1Bz<3>PWzVaz`\ fzfkzf8zkpz<4>SkzOjzHlz<3>RdzTbzW`zYZzScz_Xz<3>RnzOMz<2\ >OUzJ1z<3>PezKyz<3>WfzZbzaYzYYz<2>dUztRz<3>aUzXVzTVzOWz\ 70z<3>OfzsBzUvzSpzQjzhqzWhz<2>BZz0_z video=F5 savename=frmig_01 } The_Worm_Turns_10{ ... } The_Worm_Turns_11{ ... } The_Worm_Turns_20{ ... } The_Worm_Turns_21{ ... } When I ran the MAKEMIG.BAT file in a DOS command window and Fractint had problems, Fractint wrote the file STOPMSG.TXT with error messages in it. Fractint was kind enough to *append* errors from additional execution attempts to the *end* of STOPMSG.TXT Note that I chose to have three F5 (640 x 480) images in the X direction and only two in the Y direction. This stretched the aspect ratio of my final image in X. For the final image to have the same aspect ratio as the original video mode specified when you issue the "b" command, use the same number of images in both the X and Y directions. Note that the six named groups of parameters *names* were too long after the "_00", "_01", etc. were appended: The_Worm_Turns3X2_10{ ... } It looks like a length of about 18 characters is Fractint's limit, so the original base name of the image needs to be a max of 15 chars: The_Worm_Turns{ ... } then gets modified to: The_Worm_Turns_10{ ... } Then everything works correctly. Fractint opens and runs seven times. You see the six sub-images being created and then Fractint inserts them into a single file. I ran the program SIMPLGIF.EXE on this single file to create the final image. I happened to use the "Multiple-Image Gif" feature of Fractint for Windows beta 5 to create my stitched-together image. The DOS 20.0 version has this same capability. - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # #########################

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Corrections to: Stitching together images for...
by Hal Lane 08 Aug '09

08 Aug '09

I see now that Fractint v 20.0 can natively create large images directly in Disk Video mode. From the docs: "New 32767 x 32767 (32K) pixel limit. Removed the 2048 pixel limit for the size of fractals. You can now define disk video modes larger than 2048 x 2048." You define new Disk Video mode resolutions in the file: FRACTINT.CFG. Note that the format of this file is slightly different in Fractint for Windows beta 5. See "6.2 "Disk-Video" Modes" and "6.3 Customized Video Modes" in the docs. Basically, you duplicate an existing Disk Video mode line in FRACTINT.CFG. Then modify the new line to the resolution image you want Fractint to create. You won't see the image while it is being created, so you need to have composed it to exactly how you want it to appear before invoking your new Disk Video mode. Also, two corrections to the message I just posted: "This is how a particular "named group of parameters" in a .PAR file is invoked as is used in the file MAKEFIG.BAT:" should be: "This is how a particular "named group of parameters" in a .PAR file is invoked as is used in the file MAKEMIG.BAT:" and "It looks like a length of about 18 characters is Fractint's limit, so the original base name of the image needs to be a max of 15 chars:" should be: "It looks like a length of about 18 characters is Fractint's limit, so the original base name of the "named parameter group" needs to be a max of 15 chars:" - Hal Lane ######################### # hallane(a)earthlink.net # #########################

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Benoit Mandelbrot Fractal Art Contest 2009
by Damien Jones 08 Aug '09

08 Aug '09

Good evening listfolk, I would like to inform you that the Benoit Mandelbrot Fractal Art Contest 2009 is open and accepting submissions. This is a contest to select images for exhibition at ICM in 2010. The submissions period closes October 10, 2009. For complete information, please visit the contest web site: http://www.fractalartcontests.com/2009/ Thank you for your attention. Damien Jones

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Re: [Fractint] What Numbers Do
by Roger Alexander 08 Aug '09

08 Aug '09

To Jim Muth -> What Numbers Do, Aug-04-09: Very eye catching! Best Regards Max _________________________________________________________________ Stay in the loop and chat with friends, right from your inbox! http://go.microsoft.com/?linkid=9671354

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Re: [Fractint] Benoit Mandelbrot Fractal Art Contest 2009
by Brian Prentice 08 Aug '09

08 Aug '09

Jones, I have read the following link: http://orbittrap.blogspot.com/2009/08/has-2009-benoit-mandelbrot-fractal-ar… and consider it to be a well written, thoughtful and valid criticism. The fact that you chose to answer it with an unjustified virulent and spiteful attack rather than address the issues raised is further evidence of your ugly and despicable personality. Brian Prentice

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FOTD 07-08-09 (Around the Corner [No Rating])
by Jim Muth 07 Aug '09

07 Aug '09

FOTD -- August 07, 2009 (No Rating) Fractal visionaries and enthusiasts: Thursday was the busiest day in several months here at F.C., and Friday promises to be a repeat. I have no time for a discussion of today's image, which I leave to speak for itself. But I will go so far as to reveal that it is a spiral. The name "Around the Corner" means nothing. The lack of a rating means I don't think it deserves one. The calculation time of 4-1/4 minutes may be avoided by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Thursday turned into a perfect day here at Fractal Central, with blue skies, puffy clouds and a temperature of 79F 26C. The fractal cats spent the day on their best behavior. My day was very busy. The next FOTD is likely to be late, but it will eventually appear. Until then, take care, and think infinite. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Around_the_Corner { ; time=0:04:14.77-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-1.687160502161487/+0.1669954825400754/\ 67758.4/1/102.5/0 params=1e-040/-100/0.5/2/0/0/0/0 float=y maxiter=3600 logmap=94 periodicity=10 colors=000DswEqvEovEmvEkuEiuEftFdtFbsF`sFZsFXrFVrG\ TqGRqGPpGNpGKpGIoGGoHEnHDnHCmHBmHAmH9lI8lI7kI5kI4j\ I3jI2jJ1iJ0iJ0hJ0hJ0gJ0gJ0gI0hI0hH0hH0hH5hG4hG3hG2\ hF1iF0iF0iE0iE1iE2iD3iD4iD5iC6jC7jC7jB7jB7jB7jA8jA\ 8jA8j98k98k98k88k88k88k78k78k67m78k89i99gAAfABdBBb\ CCaDC_EDYEEWFEVGFTHFRHGQIHOJHMKIKLIJLJHMKFNKEOLCPL\ APM8QN7RN5SO3TP0SO2SO4RO5RO7QO8QOAPNBPNDONEONGONHN\ NJNNLMMMMMOLMPLMRKMSKMUJLVJLXJLYIL_ILaHLbHLdGKcGKb\ FKaFK`EK_EKZEKY2eI5cH7aHA_HCYHEWHHUHJSGMQGOPGQQGTR\ GWSGXTGXUGXVHXWIXXJXYKXZJY_IY`HYaGZbFVeARh6Lk0Nj2P\ j4Ri6Ti8VhAXhCYgD_gFafHcfJeeLgeNidPjdQlcSncUpbWrbY\ ta_wcbua`s`_q_ZoZXmYWkXViWUgVSfURdSQbRO`QNZPMXOLVN\ JTMIRLHOIEQKGSMITOKVPMWROYTQZUS`WTaYVcZXd`Zfb`hcbi\ edkgelhgnjiolkqmmrootqqvssurrvqqwrrxssyttzuuzvvzww\ zxxzyyzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandAutoCritInZ {; 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 PARAMETER FILE=========================================

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FOTD 06-08-09 (Transformation Site [5.5])
by Jim Muth 06 Aug '09

06 Aug '09

FOTD -- August 06, 2009 (Rating 5.5) Fractal visionaries and enthusiasts: There is a big problem in quantum mechanics called the measurement problem. Basically, the problem is how anything at all can be measured accurately. Since the quantum world is a world of uncertainties, and the 'real' world is made of quantum stuff, how then can objects in the 'real' world have attributes such as position and momentum, which can both be accurately measured at the same time. There is an equally big problem in fractal exploration. Since the number of fractals is infinite, and most fractals are infinitely complex, how many undiscovered quadratic minibrots are out there, waiting to be discovered. And what are the chances that any particular minibrot will ever be calculated and brought to life by some computer. And then there is today's image -- an image with hardly any problems at all. It is a scene in a tiny valley at the east edge of the parent fractal that results when Z^10 is subtracted from Z^11 and C is added -- hardly important enough to create any problems. I named the image "Transformation Site", a phrase that sounds like it has a hidden meaning. Then I rated it at a 5.5, which is just a bit below FOTD average quality. The calculation time of 2-3/4 minutes means that little time will have been wasted if the image is disappointing. But don't worry about calculation. View the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Hazy sun and a temperature of 86F 29C made Wednesday a typical midsummer day here at Fractal Central. The fractal cats slept through most of it, while FL and I finished the day's work. The next FOTD fractal, for all it is worth, will be posted in 24 hours. Until then, take care, and is the total number of minibrots in all the fractals greater or less than the number of electrons and neutrinos in the multiverse? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TransformationSite { ; time=0:02:42.55-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+1.0018437624534/-0.0001074821397/8.484\ 326e+008/1/10/0 params=-1/10/1/11/0/0/0/0 float=y maxiter=1500 inside=0 logmap=121 periodicity=10 colors=0009Qe9SeAUeAWeGYZL_TQ`MVaG_XAYUEWRHVOKTLOS\ JRQGUPDYNA`M8cOBhPEmQHrRKwPIuNHoLGmKElIDjGCgFAdD9a\ B8ZA6W85T64Q53PJGSXSdjdgzzjzokrdkoZklTliNlfHlcBm`5\ mW0kT9fQI_NRTJZMGgFCp89x2EwAIvHNuPRuWTqTVmRXjPZfM`\ cKbeId_FfVDhRBjM8lJ6nF4pC2iGPbKkgGjkDipAit7hx4hxBf\ xHmxNdxTbxZaxd`xjZxpYxvXsujotwavdOxMAy3Eu2Hr2Ko2Ol\ 1Ri1Uf1Yc0``0cY0e_1fa2gc3hd4if5jh6ki7lk7mm8nn9opAp\ rBqsCruDswEtxEpuHmsJjqMgoOdlRajTZhWWfYSc_PabM_dJYg\ GViDTlARn7PpBOlFNhJMdNM`RLXVKTZKQbJMfIIjIEnHArG6vG\ 3rH7nIAkIDgJGcJK`KNXKQULTQLXMM_JMbFNeCNhPBKUBPYBUa\ BZeBciBhmBmqBruBwqEsnHpjKmgNjcQg`SdXV`UYYQ`VNcSJfP\ GhMMjSSkYXmcbnigoniqokspmuqowrqxromnmcknbinahnago`\ eo_dqUQo_cpZapZ`pY_qXYqXXqWWrVUrVTrUSU16Z7BcDFhJJm\ PNrl3rj5ri6rh8rg9rfBreCrdDrcFraGr`Ir_JrZKrYMrXNrWP\ rVQJkkVedf_Y2zP7wQBtQFrQJoQNmQRjQVhRZeRbcRf`RjZRnW\ RDsTRjSdaRvi2ug6ue97le8ne } frm:MandAutoCritInZ {; 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 PARAMETER FILE=========================================

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FOTD 05-08-09 (Just Doodling [No Rating])
by Jim Muth 05 Aug '09

05 Aug '09

FOTD -- August 05, 2009 (No Rating) Fractal visionaries and enthusiasts: With no time to do a proper fractal search on Tuesday, I disengaged my brain (which took little effort) and struck some random keys without thinking. The fractal that resulted is little more than a fractal doodle, which is why I named it "Just Doodling". One look at the finished product will reveal why I gave the image no rating. The calculation time of 8 minutes uses up more time than the image is worth. The solution to all these minor problems is to view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a high temperature of 88F 31C and equally high humidity, the weather at Fractal Central on Tuesday felt more like Houston than Central Pennsylvania. The fractal cats didn't seem to care. They spent most of the day watching a stray cat that hung around the area most of the afternoon. As stated above, my Tuesday was very busy. Unfortunately, the FOTD suffered. But the next FOTD is due to appear in 22 hours more or less, and who knows -- it might even be better. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Just_Doodling { ; time=0:08:01.98-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot6 passes=t center-mag=-2.368\ 0503783/0/8000/1/-90/0 params=-2/6/0.01341100004/-8 float=y maxiter=1600 inside=0 periodicity=10 colors=000UBKWCKXDKYEKZFL_GM`HMaINbJOcKPaLP`MQZNRX\ NRWOSUOTSPURPUPQVNQWMRWKRXISYFTXHSYJRYLQYNPYPOZRNZ\ TMZVMZXL_ZK_`J_bI_dH`fG`hF`jFdlEhnDmpCrrBvtAzv9zx8\ zz7zy8zx8zw8zw8zv9zu9vu9rt9ms9hrAcrAZqAVpARpAQoBPn\ BOmBNmBMlBLkCKkCJjCIiCHk8EiCHgFJfILdMNcPPaSR`WTZZV\ YaXWeZVh`TkbSndUobVoaXo`Yp_ZpZ`pYaqXcqWdqVeqUgrThr\ SjrRksQlsPnsOotNqtMrtLstKqqMpoNnmOmjPkhQjfRhcSgaTe\ _UdXVKAZKAYKAZKA_KA`KA`KAbKAcK9dL8cM7fN6gN1gM4hL7i\ KAjJDjIGkHJlHLmGOmFRnEUoDXpC_pBbqBdrAgs9js8nt7qv6u\ x3zz6wx8twApuCmsFiqHfoJcmL`lOYjQViSSgTReUQfVPfVPfW\ OfWNfXNfYMfYLfZLfZKf_Kf`Jg`IgaIgaHgbGgcGgcFgdEgdEg\ eDgg4heDgdLfcTea`d`hc_pbZxa_t`_q__nZ_kZ`gY`dX`aW`Z\ WaYTbXRcWOdVMdUJeTHfSEgRChQ9hQ7iQ9jQAjQCkQDkQFlQGl\ QImQJnQKnQMoQNoQPpQQpQSqQTqQUnPTlOTjNThMSeMScLSaKR\ _JRYIRVIQTHQRGQPFQMFPKEPIDPGCOEBOBBO9AN79N58N16O38\ N59MAALFAKIAKLAKOAKQAKSAK } frm:DivideBrot6 { ; Jim Muth z=(0,0), c=pixel, a=real(p1), b=imag(p1)-2, d=real(p2)+0.00000000000000000001, f=imag(p2)+16: z=z^(a)/(z^(-b)+d)+c |z| < f } END PARAMETER FILE=========================================

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FOTD 04-08-09 (What Numbers Do [8])
by Jim Muth 04 Aug '09

04 Aug '09

FOTD -- August 04, 2009 (Rating 8) Fractal visionaries and enthusiasts: Today's skeletal scene returns us to yesterday's image, but have no fear. It is far from a boring repeat. The image is actually a modest blow-up of a scene in the 'tree' at the eastern edge of yesterday's image. I named the image "What Numbers Do". While studying it, I began wondering how mere abstract numbers could possibly create such a scene. But that's what makes a fractal a fractal. The image rates an eight. I gave it this rating because I think it deserves such a rating. The calculation time of just over four minutes may be reduced to almost nothing by surfing out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image posted there. A near perfect day passed un-noticed here at Fractal Central on Monday. The temperature of 82F 28C was made even more enjoyable by the lower humidity, while the electronically-intensified blue skies and puffy cumulus clouds lent a perfect backdrop to any outdoor activity. But my day was spent indoors, and the fractal cats seemed more interested in the worn-out catnip rat than the sunny window. The next FOTD will be posted in 24 hours. Until then, take care, and is it an oxymoron to have faith in science? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= What_Numbers_Do { ; time=0:04:16.01-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideJulibrot passes=1 center-mag=+5.51760082/0/345/1/-90/0 params=89.98/0/89.98/0/-0.77/0/0/0/1.05/1.5 float=y maxiter=750 inside=0 logmap=370 periodicity=10 colors=000zzzmvzUpznjzUqzihzUdzrazUZzm_zI6IJ8JKAKL\ CLMEMNGNOIOPKPQMQRORSQSTSTzUUzZZzcczhhzmmzzzzzzzzz\ zmmmmmcccUUUPRoMDUBIBJHARH9ZG8c32eA5fG7hNAmR0kS6iT\ CkQ9mNCmQFmTImWLmZOmaRrdUre_rgbqddpb`q`YrYUtWQwUNz\ RLzOJzLHzIFzFDzDBzHPzLazOnzHZzAKzF5zF8zKAzQDzWFzaH\ zgKzmMzmOzmZzmZzmdzmazmZzmXzhLzcKzZKzeKzbJz`IzZHza\ OzcVze`zhgzjnzltzfqzanzWkzRhzLezGbzB`zNkzYvzWizVYz\ MOzDFvPIr_KmVRZQYcLdZOgUQjPSlKUoMWlNRfON`PIVQEQK9U\ O5YS1bb0fl0zeDz_PzT`zNlzrzzjwzeszUqzPmzQkzN`zKRzHG\ uF6pJ9kNCkQEpUHuXJz2oz9izFczFpzFjzFdzFZzFTzFOzJSzM\ UzPYzT`zcmzcmzcmzcmzcmzcmzObzLdzJez5szBlzHfzN_zTUz\ ZNzcHz`JzYLzVNzSPzhazaYzWVzQRzJOzDKz1Bz7HzDMzJRzPW\ zVaz`fzfkzf8zkpzgozcnz_mzWlzSkzOjzHlzKjzMhzPfzRdzT\ bzW`zYZzScz_XzXazVezTjzRnzOMzOPzORzOUzJ1zLCzMMzOWz\ PezKyzNtzQozTkzWfzZbzaYzYYz`WzbVzdUztRzoSzjTzfTzaU\ zXVzTVzOWz70zCBzGMzKWzOfz } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), aa=-(real(p5)-2), bb=(imag(p5)+0.00000000000000000000001), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)/(z^(aa)+bb)+c |z|< 1000000 } END PARAMETER FILE=========================================

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