January 2004 - Fractint - mailman.xmission.com

Fractint version 20.3
by Jonathan Osuch 17 Jan '04

17 Jan '04

Fractint version 20.3, both DOS and Linux, is now available at www.fractint.org. Note that this is the float only version. What's new: Incremented the version number to accommodate backwards compatibility for the inside=atan and outside=atan options. Fixed inside=atan and outside=atan to use the full color palette instead of limiting to 180 colors. Added Charlie Chernohorsky's virtual screen zoombox fix. Added Gerald Dobiasovsky's fixes for the demo key files needed because of menu prompt changes and pan/zoom size changes. Fixed evolver parameter entry. Fixed hypercomplex fractal type to turn off symmetry when a cj parameter is used. Fixed the plasma type to show the value of the parameter that is actually used in the image generation. Fixed the plasma type so that a parameter file uses the colors included in the parameter entry instead of the default colors. Revised the plasma type prompt to reflect the values that can actually be used. Increased the Lsystem line length from 160 characters to 255 characters. Fixed the browser so that it recognized the fractal type stored in images. Fixed the Xfractint FPUcplxdiv and FPUcplxlog routines in fpu087.c to match the Fractint assembler code. Modified the Xfractint resume code to remove the Xfractint specific sections since they are no longer needed (gcc macros match MSC macros). Jonathan

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FOTD 16-01-04 (Into the Fray [7])
by Jim Muth 16 Jan '04

16 Jan '04

FOTD -- January 16, 2004 (Rating 7) Fractal visionaries and enthusiasts: As I have often stated in the past, I enjoy reading "Skeptical Inquirer" magazine, a publication devoted to debunking claims of the paranormal and promoting the materialistic philosophies. But after reading this magazine for 15 or so years, I still believe that some paranormal things do exist, and I still am not a materialist. This could be because the magazine articles are ineffective or because I am slow to see the truth. This incon- sistency has long been a puzzle to me, but the mystery has now been solved. There is an article in the latest issue, which tackles the question of why skeptics have such a hard time debating with believers. It claims that believers have so many mistaken ideas about using reason that they are nearly impossible for skeptics to argue with. Believers fall into new reasoning fallacies faster than skeptics can set them straight, and as a result, the skeptics soon give up in disgust. In other words, skeptics are right, but believers are too confused to recognize it. Now I know why I am convinced that precognition is a true ability of man. I am too confused to know that it logically cannot exist and I therefore could not possibly have experienced it, which I have a very clear memory of having done. But slow-wittedness has its good features. Fractals do not exist either. But I am unaware of this fact, and I find fractals everywhere. I have been finding them in fact just about as long as I have been reading "Skeptical Inquirer" magazine. Today's fractal is a typical example. There is little of interest in the Z^(1.5)+C Mandeloid, but, being unaware of this, I continue searching. By using the 'tdis' option on the outside parts of the parent fractal, I have now found another midget in Z^(1.5)+C worth a 7, this one with an overall value of 102. I named the image "Into the Fray". The image has a certain feeling of a boisterous melee about it, which inspired the name. And reading that magazine article put me in just the right mood to apply the name. I could just as easily have seen peaceful garden terraces in the image, but we will never know what type of names I might have chosen if I had found today's image on a different day. I guess it is up to the individual viewer to decide whether the image is violent or peaceful. The image may be seen either by running the parameter file and waiting 6 minutes or by download- ing the completed GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and seeing it at once. Though it was cold Thursday here at Fractal Central, it was not as cold as forecast. With a high temperature of 27F -3C and occasional sun, it was bearable enough for the dynamic duo to enjoy 15 minutes in the yard. This was time enough for them to do the things that needed to be done. Today is starting the same. My own work is moderate to heavy, so I had best get started, or else be in danger of falling behind and believing aliens from outer space are among us. Until the next FOTD, which will appear in 24 hours, take care, and please direct any non- fractal comments about skepticism to the philofractal list. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Into_the_Fray { ; time=0:06:53.04--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=+0.11122362069284430/+0.715289864598950\ 50/188093.8/1/87.5/8.61523595518942642e-010 params=1.5/0/-2/0 float=y maxiter=32767 inside=0 outside=tdis periodicity=10 colors=000OYSTSOYMJaGFfAAj46iA9hFChKFgQIgVLf_OfdRe\ jUeoXdt_dyb_t_WpYSlWOgTKcRG_PCWNIZUO``TcgZencgtKmm\ 0sf4sc8saCs_GsYKsWOsUSsRWsP_sNcsLgsJksHirKgqNeqPcp\ SaoV_oXYn_XmbVmdTlgRkjPklNjoLirKitPboUXkYQgbKcfD_k\ 7Wo1Sn2Rn3Rm4Rm5Rm6Rl7Rl8Qk9QkAQkBQjCQjDQjDQoRItcA\ yp2if4VX5GN71E85GB8IDCJFFLIJMKMOMQPOTRRXST_UVcVXfX\ _jYam_cp`eqcfqefqhgqjgqlhqohqqiqtiqvjqxjtVRw17u2Ct\ 3Hs4Mr5Rq6Wp7`o8en9jmAnjDmhGmeJmcMlaPlZSlXVkVYkS`k\ QcjNfjLijJliGoiEriCuiDpgDleDhcDdaE`_EXYETWEOUEKSFG\ QFCOF8MF4KF0IG2LH3NI4PJ5SK7UL8WM9ZNA`OCbPDeQEgRFiR\ GkTIgVJdWL`YMYZOU`PRaQOcSKeTHfVDhWAiY6kZ3l_0gW0cS0\ ZO0VL0RH0MD0I90E60E52E44E45E37E39E2AE2CE1EE1FKDJQP\ NW_QakUfvXYhYPVYGHYILWJPVLTUMXTN`SPdRQhQRlPUjRWhSY\ fT_dUbbVd`WfZYhXZkVzmTzoRzqQzpVzoZznczmgillklzlzzz\ zzhonfzzdplbqlark_rkYsjWtiUuiTuhRvgPwgNxfLxfKtl_qq\ nnmmljmifmgcmBmeAoeFi`KcX } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END 20.0 PAR-FORMULA FILE==================================

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Re: [Fractint] FOTD 15-01-04 (Fractal Fossil [7])
by Jim Muth 16 Jan '04

16 Jan '04

At 12:14 PM 1/15/04 -0700, you wrote: >On Thu, 15 Jan 2004, Jim Muth wrote: >(...) >> with the reminder that the 11-minute wait for today's parameter >(...) >> maxiter=12000 bailout=9 inside=0 periodicity=10 > > Come on, man. The bailout _might_ be reasonable, but how many >points escape after 255 iterations? The bailout=9 entry should have been edited out of the parameter file. It appears only because I have it entered that way in my sstools.ini file. It has no effect on the resulting image however, the actual bailout of which, as specified in the generating formula, is imag(p2)+100 or 100. As for the 255 iterations, where did you find this entry? The maxiter of the image is 12000. Jim M.

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Frenzy! luminance=atan chrominance=palette
by SherLok Merfy 16 Jan '04

16 Jan '04

http://ecn.ab.ca/~brewhaha/img/Frenzy.png Okay...you won't find those settings in fractint, but that's how you might write it. Either that or outside=iaTan (iterated atan), and he looks kind of serious for a mascot (maybe he's working in Irak), plus the colours are so loud that you might miss the impression that he wore a tuxedo. Maybe it's more like a duck than a penguin, but it's gotta be a bird! The image I jenerated was actually post-processed with Paint-Shop-Pro (it might actually be nifty to make fractint ignore lines with either more or less than three numbers on them, so that it could share palettes with PSP, BTW). Um...you know what...maybe FRACTINT does that already. In any case, I took identical views of the same formula, but with different settings for outside. Then, I used PSP to replace the default map with a graymap, (loaded a palette with indexes maintained. Then I took the image from "BrainH" parameters (it looks black on my screen, but look at the numbers on the palette manager) and made the BrainV imaje into a mask for it. Then I unloaded the brainV imaje, because PSP doesn't seem to do live masking. Then I raised the luminance of this masked image three times. Aside from choosing PNG format, which is the king of lossless compression (equivalent in size to a JPEG with about 90% quality in this case), that's all there was to it. You can adapt this process to making logos in many other pixel editors. (What remains is for me to pipe the comments from the source images into a PNG for the web). The downloadable is currently (and likely not permanently) about 600k, because it's set for landscape printing at 200dpi with quarter inch margins, because I went to the print shop with it. The laser printer there is good for 600dpi, but I didn't feel like dealing with commands that always require parameters today, so I stuck with Win 3.1, which can't see over 64meg of RAM (SXMS), and PSP which apparently can't see THAT much, despite Window's claim that I hav over 200meg of virtual memory. The space required for 200dpi and 24bits is fairly close to the space required for 600dpi and 3bits (8*10.5*200^2 works out to one nineth of the surface area at 600dpi, but eight times as many bits per pixel or a little less depending on whether there can be more than one colour on a pixel), so the colours came out very nicely, minus the edges weren't as sharp as they could be, plus the ink isn't as sensitive as with a bubble-jet, plus you can't tell how high the print head is. So, it was worth 75 cents and maybe this two bits. Frenzy {; Where went the neg function? z = pixel, s=-fn1(fn2(pixel)): z = z * s + z s = s/z + pixel |z| <= 8 } BrainV { ; Luminance. ; Version 2002 Patchlevel 5 ; How many times will you tell me that? ; 1/5 speed with intejers on PII. reset=2002 type=formula formulafile=fractint.frm formulaname=frenzy function=ident/conj passes=1 center-mag=0.496851/0.00495108/0.5604486/1.4649/90/-1.2337353361147052\ 1e-014 float=y maxiter=255 outside=atan inside=0 } BrainH { ; Chrominance. ; Version 2002 Patchlevel 5 ; Version 2002 Patchlevel 5 ; Version 2002 Patchlevel 5 reset=2002 type=formula formulafile=fractint.frm formulaname=frenzy function=ident/conj passes=1 center-mag=0.496851/0.00495108/0.5604486/1.4649/90/-1.2337353361147052\ 1e-014 float=y maxiter=255 inside=0 colors=050505502500055520025550005490205050505502500055520025550005490\ 2050505055025000555200255500054902050505055025000555200255500054902050\ 5050550250005552002555000549020505050550250005552002555000549020505050\ 5502500055520025550005490205050505502500055520025550005490205050505502\ 5000555200255500054902050505055025000555200255500054902050505055025000\ 5552002555000549020505050550250005552002555000549020505050550250005552\ 0025550005490205050505502500055520025550005490205050505502500055520025\ 5500054902050505055025000555200255500054902050505055025000555200255500\ 0549020505050550250005552002555000549020505050550250005552002555000549\ 0205050505502500055520025550005490205050505502500055520025550005490205\ 0505055025000555200255500054902050505055025000555200255500054902050505\ 05502 }

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Re: [Fractint] FOTD 15-01-04 (Fractal Fossil [7])
by Noel Giffin 15 Jan '04

15 Jan '04

SherLok Merfy wrote: > On Thu, 15 Jan 2004, Jim Muth wrote: > (...) >> with the reminder that the 11-minute wait for today's parameter > (...) >> maxiter=12000 bailout=9 inside=0 periodicity=1 > > Come on, man. The bailout _might_ be reasonable, but how many > points escape after 255 iterations? I can't speak for this particular image, but several years ago, (before I had a family and I still had lot's of spare time), I created a mandelbrot fractal image where every pixel in a 1024x768 image iterated a minimum of 83,693 times with a max iter set to 2 million. It is hard to imagine an array of adjacent points iterating that many times before diverging into a unique and beautiful image but the proof is before you. http://spanky.triumf.ca/www/fractint/hi-iter.html Cheers, Noel

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FOTD 15-01-04 (Fractal Fossil [7])
by Jim Muth 15 Jan '04

15 Jan '04

FOTD -- January 15, 2004 (Rating 7) Fractal visionaries and enthusiasts: As I mentioned in the FOTD of January 13, I have long been searching for a great midget in a Mandeloid fractal with an exponent of Z between 1 and 2. The midget illustrated in today's image might not be great, but it is at least above average. The rating of a 7 might be a bit generous, but regardless, it is still one of the best midgets I have yet found in such a low-order Mandeloid. The overall value comes in at a 61. The exact exponent of Z in today's image is 1.5, which has been calculated 1.5 levels down the logarithmic hyper-spiral. The parent fractal appears as a reasonably normal Mandeloid rotated 180 degrees. On the north shore of the large western bay lies a tiny rudimentary bud, with a curious half-developed valley on its inside top shore. The shoreline of this valley is lined with areas of near total chaos, cut-off bits of which extend some distance inland. Today's scene lies in one of these cut-off inland islands of chaos. As is typical of all fractals with fractional exponents of Z, today's image is filled with discontinuities. The discontinui- ties are in fact the substance that composes the image. These breaks are a nuisance, but they also show the way to midgets. When one is searching for quadratic midgets, the signposts are areas where the features are arranged roughly symmetrically around a point. When the object of the search is a midget of a lower order, the breaks in continuity serve as the signposts. The breaks usually converge on midgets which otherwise would be nearly impossible to find. I named the image "Fractal Fossil". The name came to me when I started wondering how long this particular scene existed before I discovered it. It certainly existed billions of years, but did it exist before the 'big bang'? As far as that goes, did the 'big bang' actually happen, or is it just a creation myth without an outside creator, carefully designed to fit into our scientific world-view? While pondering the imponderable, I will end today's discussion with the reminder that the 11-minute wait for today's parameter file to run can be avoided by downloading the finished GIF image from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The snow held off until after dark on Wednesday here at Fractal Central, but with a temperature of 23F -5C and brisk winds, the outdoor conditions were too harsh for the dynamic duo to venture forth. They spent the day indoors, sleeping and eating. Today is starting with a fresh inch of snow and falling temperatures. The cats will likely have another indoor day. With about 4 hours work to finish, I will likely have an indoor day also. And in 24 hours, I shall return with the next FOTD fractal. Until then, take care, and remain fractally oriented. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Fractal_Fossil { ; time=0:11:27.07--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=+0.04526308974509857/+0.771631709693025\ 60/698846.7 params=1.5/0/-1.5/0 float=y maxiter=12000 bailout=9 inside=0 periodicity=10 colors=000DIMEDHF9CG479vwBghDTVFEGgTubOkZJbUEUQ9KL\ 4BdkYciWbgVaeU`cT_bSZ`QYZPXXOXWNWUMVSKUQJTOIXL_`QX\ cUTgUQjUNnUKqUHsUErUIqULpUOoUSoUVnUYnU`mUcmUfmUimU\ gkUjjWgiXdhXbgW_fUYfRVfNTfJQeFOeCLe8Je4Ge1Ed3Hc4Kb\ 5Ma7P`8R_9UZBXYCZXDaVFcVGfUHhVLiWPiWSjXWjX_jYbkYfk\ ZjkZml_ql_tm_um_um_vm_vm_wn_xp_yr_zv_zzQkcGZc6Nc5P\ `5QZ5RW5SU5TR5UP5VN4XK4YI4ZF4_D4`A4a84b67Z79V8BS8D\ O9GK9IHAKDAM9BO6BUBGZFKcJPhOTmSYrWaiS_`PYTLXKIVBET\ 3BS4FR5JQ6NP6RO7UN8YM8cM9gLPkKUnJZqIcsHcvHcqFFkEGe\ CH_BJU9KO8LI6MK5NK4LK3JK2`naXiUTcNPWGLU9JYPIUMIRKI\ OIILGIIEHFCHCAH98H66H34y0Zw0Xu0Ws0Vq0Tp0Sn0Rl0Pj0O\ h0Ng0Le0Kc0Ja0H_0GZ0FX0DV0CT0BR09Q08O07M05K04I03eZ\ 8XN6PB4gGLIqMHnLHkKHiJHfIHdHHaGbLcbMbbNacOacP`cQcc\ RfcSjdTndUrdVvdWzdWWcUVbTUaST`RS`QR_PQZOPYNOXMNXM3\ XLMWKLVJKUIJTHITGHSEGRDFQCEZBDPACO9BN8AM79L68L57K4\ 6J35I24H137dl9_fAVaBRXCMS } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END 20.0 PAR-FORMULA FILE==================================

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FOTD 13-01-04 (Hope Springs Eternal [4])
by Jim Muth 13 Jan '04

13 Jan '04

FOTD -- January 13, 2004 (Rating 4) Fractal visionaries and enthusiasts: As they say, hope springs eternal. And that is what happened to me yesterday as I was deciding which part of Fractal Land to explore. Moved by eternal hope, I finally decided on a different part of the same fractal that held the 'half- elephant' image which appeared on January 11. I constantly hope to find a truly outstanding midget in the Mandeloids with exponents between 1 and 2; I never have found one. But hope springs eternal, and I keep trying, apparently unable to learn from the years of coming up short. Today's image shows a very typical midget in the Z^(1.5)+C Mandeloid. As is true with almost all other midgets in this range, the area is far too broken and chaotic to make an impressive image. Maybe the truly great scenes are there, hiding somewhere in some remote corner of the parent fractal, but somehow I doubt it. But, being a hopeful fellow, I will continue searching for something that I know might not exist. Any unusual scenes I come upon in my search will appear as a FOTD. Most scenes will vanish into the limbo reserved for deleted fractal images. In all honesty, I could rate today's image no higher than a 4, which, combined with the render time of just under 12 minutes, gives an overall value of 33. There are two ways to see the image: first, by running the included parameter file; second, by downloading the completed GIF image from Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The dynamic duo of fractal cats had one of their best days in quite a while here at Fractal Central on Monday. When the temperature reached 46F 8C shortly after noon, they paraded to the door and asked in unison to go out. They looked almost like kittens as they romped in the dead grass and played hide-and-go- seek in the holly thicket. When evening came they were ready to come indoors to eat and sleep. Today looks like a repeat, but another cold wave is on the way, and due to arrive toward eve- ning. Hopefully, the duo will finish romping before the cold air arrives. And also hopefully, my work will be finished before the duo ends their romp. Until next time, take care, and when, if ever, will the new anti-spam law start working? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ HopeSpringsEternal { ; time=0:11:57.49--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=-0.81193569327624530/+0.514042346538518\ 10/4.870091e+007/1/25/1.19288052269350686e-007 params=1.5/0/1.5/0 float=y maxiter=1800 inside=0 logmap=326 periodicity=10 colors=000g70m60a70e90`90ZA0fC1fC3dD4cD6aF7`G9_GAX\ ICVJDTJFSLFQLGPMIMOJLOLJPMIQOGQPFSQCSS9TT4VV0VX0XY\ 0XY0VX0TV0TT0SS0SQ0QP0QO1PM3PL4OJ6OI7MG7MG9LFAJDCJ\ CDIAFI9GG7IG6JF4LF3MD1OD0PC0PC0SA6VADYAL`AQcAYf9di\ 9ll9ro9yr9zu9zsDzsGzrJzrMzpPzpTzpXzo_zoazmdzmizllz\ lozlrzjuzjyzizzizzgzzgzzgzzczz`zzYzzTzvQzrOzmLziGy\ dDx`AvX7sS3rO0pJ0oF0mC0oD0oD0oD0oD0oD0oD0oD1oD1oD3\ pD3pD4pD4pD6pD6pD7pD7pD9pD9pDArDArDCrDCrDDrDDrDFrD\ FrDGrDGrDIoFImFJlFJjGLiGLgGMfIMdIOcIOaIO_JPYJPXJQV\ LQTLSSLSQMTPMTOMTMMYDX`4fc0pa1ma7j`Dg`Jd_Pa_V_Y_XY\ dTXjQXpOVvLVzITzFTzC`zAgzAmz9uz9zz9yzAyzAyzAyxCyvC\ ysCyrCyoDymDyjDyiFyfFydFyaFy`GyYGyXGyTGySIyPIyOIyL\ JyJJyGJyFJyCLyALy7Ly6Lv7Ms7Op9Om9PjAQiAQfCScCT`DTY\ DVVFXTFXQGYOG_LI_II`FJaDJagScz`dzafzafzagzagzaizci\ zdjzfjzglzilzjmzlmzmozoozppzrpzsryuryvsxxsxyuvzuvz\ vuzvuzxszxszyrzyrzzpzzpzz } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END 20.0 PAR-FORMULA FILE==================================

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FOTD 12-01-04 (Into the Crucible [7])
by Jim Muth 12 Jan '04

12 Jan '04

FOTD -- January 12, 2004 (Rating 7) Fractal visionaries and enthusiasts: Every once in a while one must vent a little frustration. In my e-mailbox this morning I found at least a dozen letters telling me how to get a bigger pole, or a heavier or longer or bulkier pole, etc. Why would anyone want to sell me a new pole? I don't need a bigger pole. The pole standing in the corner of the fractal yard has been faithfully supporting the wires for at least 40 years. It is 10 meters tall, 30 cm thick, and still in perfect condition. The market for poles must be very limited. Those spammers should wise up and try to sell a product that people actually want. The fractal for today is far less confusing. It is a scene in the fractal that results when 8.3 parts of Z^(-3.8) are subtrac- ted from 9.8 parts of Z^(-1.5) and (1/C) is added. To compli- cate things, the fractal has been evaporated and rendered with the 'bof61' inside fill. Fractal evaporation is achieved by raising the escape radius of fractals with negative exponents of Z to a value large enough so that all points are trapped. I named the image "Into the Crucible". With its clashing colors that are almost painful to look at, it reminds me of looking down into a crucible of molten steel. The rating of a 7 seems appropriate -- at least by my fractal standards. Those with different standards may rate the image differently. Combined with the reasonable render time of 3-1/2 minutes, the image has an overall value of 200. Those who prefer their fractals ready-to-go may pick up the finished GIF image from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> It was warmer here at Fractal Central on Sunday, and the sun was shining most of the day, but the temperature of 28F -2C was warmer only by comparison to the day before, and the fractal cats compared the temperature to a day in midsummer. They decided to remain indoors all afternoon, thinking of what might have been. Today is starting even warmer -- it's actually above freezing. But it is cloudy. We shall see what the duo makes of this. And I must decide what to make of the work on the shelf beside me. Most likely, I'll work on it until it is finished. And when it is finished, I will enter fractal-land to see what has happened since last I ventured there. Whatever I find will appear as the FOTD for tomorrow. Until then, take care, and remember the children. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Into_the_Crucible { ; time=0:03:31.41--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.93333741621415410/-1.559243860808650\ 00/3009538/1/-117.5/7.47725191418274759e-006 params=9.8/-1.5/-8.3/-3.8/0/1e+100 float=y maxiter=1200 inside=bof61 periodicity=10 colors=000mHKiLIePHaTGj0uU`EIn2QcDXTOdIZj4hu0jlCjm\ FknJloNmoQmbLUQGA000OH7RI9UIAWIBZID`IEcIFfIHhJIkMJ\ mPLpSMsVNuYPx`QzcRwIPuHNrGMpFKmEJkDHhCGfBEcACa9BZ8\ 9X78U66S55U79V8DWAGXBKYDNZER_GVaHYbJacKddMheNlfPog\ QshRvjQskQqlQnmPlnPipPgqPdrObsO_tOYvOVwNTxNQyNOzNM\ xRNwVOuZPtbQrfRqjSonTnrUmuUirXepZan`YlbUieQggMeiIc\ kEUiALg7Cf7dBAgGCiLFlQHnV8xeJpZUiSdbLoWEzP7nUHcYRO\ NMTa_YtpXplXmiWjeWfbVcZV`WVYTYZ_`_ec`kfaqaNZX9H_GM\ aMQdSUfYYhcakiemoioumlrcipVfmLckCXa0`i3dq6hy8evCbt\ F_rIYpLchTha_e_ZbYZ_WYYUYVSXSQXPOWNMWcJitGwrFqpEkn\ EemD_kDUiCOkBAhCJfCScC`aCi_CqZBpYBoXAnXAmWAlV9kU9j\ U9jXSn_iqZekYaeYZ_XVUjDTXSO8`LJeKVq0TiKRacQUvSXrU_\ nVakXdg9gnYfdRbfKZh4CwEWiRo_OnWLnTImQGmNDmJAlG7lDb\ Rc5lABkCGjEMiFRhHXgIafKm8TffLeeIdeFdeCce9be6be3Z_A\ VVHRQONLVJFaFAhB5o70v68o5Gh1I`4Nb7RdAVfDZhGbjJflMj\ nJvwOnpTgjY`cOThbUYzbUqUO } frm:MandelbrotMix4 {; 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, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================

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FOTD 06-01-04 (Rich Field Fractal [8])
by Jim Muth 12 Jan '04

12 Jan '04

FOTD -- January 06, 2004 (Rating 8) Fractal visionaries and enthusiasts: Way back when I was a curious young boy, (I'm now a curious old boy!), I wanted more than anything else, a telescope. I wanted to see with my own eyes all those stars and nebulae of outer space that I had seen only in pictures in the popular astronomy books I was reading at the time. So I began worrying my father to give me the most powerful telescope available. I wanted something like a 2000 power telescope. I thought that the higher the magnification, the more stars and nebulae it would show. When I finally got my telescope, I was a bit disappointed. Instead of the 2000 power monster that I wanted, my father gave me a 40 power rich-field telescope. But he explained how telescopes work, how empty magnification is helpful when observing the planets, but basically useless when one wants to observe fields of stars and faintly glowing clouds of interstellar gas. He told me that those brilliant pictures in my books were time exposures on sensitive photographic plates, and that I would never see the nebulae with my eyes as clearly and brilliantly as they were illustrated in the books. A bit disappointed at first, I overcame my disappointment the first dark night in the yard, when my father directed the telescope toward the Beehive cluster. I used my telescope every clear moonless night after that for several years. I named today's image "Rich Field Fractal". It fills the screen with such detail that I can almost see myself at the eyepiece of that old telescope, which BTW is still packed away in a closet. The image itself is an 'evaporated' one, as ephemeral as those deep-space nebulae I gazed at in wonder those many years ago. The generating formula continues the theme of the past few days by combining various portions of Z^(-1.3) and Z^(-3.1). I then added (1/C) instead of plain C because (1/C) turns a fractal inside out, and fractals with negative exponents are already inside out. Turning them inside out a second time makes normal fractals out of them. And we all like things to be normal. As I said above, the image has been 'evaporated'. Evaporation works only on fractals with negative exponents of Z. When I find an interesting 'normal' scene in such a fractal, I usually 'evaporate' it by raising the escape radius to 10^100, (or one- googol). Sometimes the evaporated version is better, sometimes not. In today's case, it is a close call, but the 'evaporated' version is a bit better. I rated the scene at an 8, a rating that helps make up for the half-hour wait while it renders from the included parameter file. But a half-hour is still a half-hour, and those with more important things to do can save time by downloading the completed GIF image from paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> It rained most all day Monday here at Fractal Central, and the temperature never rose above 45F 7C. The cats did not like it, but, compared to some of their past bad moods, their moods were acceptable. I gave them a treat of tuna just as a reward. The sun has appeared this morning, but a cold wind has sprung up. We'll see what the dynamic duo thinks of this. I have about the normal amount of obligatory work to finish before I engage in fun. The next FOTD will appear in 24 hours. Until then, take care, and live a peaceful life. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Rich_Field_Fractal { ; time=0:28:56.14--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=+2.13380830806844900/+0.950227584052971\ 10/2264450/1/-12.5/1.19070429488443708e-008 params=-1.3/-3.1/-3.1/-1.3/0/1e+100/0/0 float=y maxiter=2500 inside=bof61 periodicity=10 colors=000a4k`5jZ5iX6hW7gU8fS8eR9dPAcNAbMBaKC`ID_H\ DZFEYDFXCFWFKUIPSLUQOYORbMUgKXkI_pGbuEdyCftFgoHhkK\ ifMjbOlYRmTTnPWoKYpG_mWcjZjW`lXefYj`YoVZtPZyJ`uIbq\ IcnIejIffHhcHi_HkWHlTHhQKdON`MPXJSUHUQFXMC_IAaE8dB\ 6fGA`LEVPIPUMJYPE_NG`MHaLIcKJdJKeHLgGMhFOiEPkDQlBR\ mASo9Tp8Uq7VoF_nMdmUil`nkgrghpdin`ilYjjVjhRkfOkdKl\ bHl`EmZAmX7nV4nTRnkQojQpjQpjQqjQrjQrjPsjPtjPtjPuiP\ uiPviOwiOwiOxiOyiOyiOziOziTwdYt`aqXfnTjkPohLsfHuiH\ vlHtjGsiFrgFqfEpdDocDmaCl`BkZBjYAiX9hV9gU8fS7eR7dP\ 6cO5bM5aL4`K4_J6ZJ8YJAXJCWJDVJFUJHTJJSJKRJMPJOMJQL\ JSKJTJJVIJXHJZGJ_FL`FN`EP`ER`DT`DU`CW`CY`B_`Ba`Ac`\ Ada9fa9ha8ja8la7na7oa6qa6sa5ua5wa5xa5zmUzzczzezzgz\ zmzzmzzTjXOkbJkgHn`FqVDsPBvJ9xDAuFAsGAqHAoIAmJAkKA\ iMAgNAeOAcPA`QAZRAXSAVUATVARWAPXANYALZAJ_BMYBOXCQW\ CTVCVUDXTD_SEaQEcPEfOFhNFjMGmLGoKGqJHrIHrIHrIIrIIr\ HIrHJrHj2oj0qh1of2ne3mc3l } frm:MandelbrotMix2 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================

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[Fwd: Error in bjax formula?]
by Edwin 12 Jan '04

12 Jan '04

Hi, Looking at the fractint.frm which comes with xfractint 3.10, the "bjax" formula is: Bjax {; z=c=2/pixel: z =(1/((z^(real(p1)))*(c^(real(p2))))*c) + c } This looks like it's missing a bailout condition. Does fractint supply a default bailout function if the user doesn't give one? When I render it I get a blank screen. However even if I add |z| < 4 at the end, it still doesn't display anything, so I'm a bit confused. Regards, -- Edwin

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