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Seeking beta testers for fractal program
by Edwin 30 Nov '04

30 Nov '04

Hi, Over the past five years I've been slowly developing a fractal program for Unix- and Linux-based systems called Gnofract 4D. I'm now almost ready to release version 2.0, which is a major improvement over the previous releases. The main new feature is that it can load Fractint .FRM files (but not yet .PAR files), which is why it may be of interest to some folks on this list. Brief feature list: - GTK-based GUI (screenshots at: http://gnofract4d.sourceforge.net/screenshots.html) - 24bit color and antialiasing - named parameters + separate colorfuncs as in UltraFractal Obviously there are many Fractint features which are NOT supported, including logmap, stereo, 3D, L-systems, DOS or Windows support, periodicity-checking, IFS, etc, etc. Anyway, if you're familiar enough with Linux to compile from source, willing to put up with flaky, beta-quality software, and interested in trying out a new fractal package, please download the beta from: http://www.bathysphere.org/gnofract4d-2.0.tar.gz And do let me know any bugs, suggestions or feature requests! Since this is only marginally related to Fractint I shan't announce future releases here - if you want to hear about them please subscribe at http://freshmeat.net/projects/gnofract4d/ Thanks, -- Edwin

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FOTD 29-11-04 (Funny Face [3])
by Jim Muth 30 Nov '04

30 Nov '04

FOTD -- November 29, 2004 (Rating 3) Fractal visionaries and enthusiasts: Today's image takes us to the 'quat' formula, which draws slices of the supposedly 4-dimensional Mandelbrot set created by 4-part quaternion numbers. I have several problems with this formula. To start, the parameter screen of the formula is puzzling. While spaces exist to enter four variable parameters, only two are used, as though the formula were still being developed. And a little bit of investigation will show that only one parameter is needed to draw all the images that the formula can create. There must be a reason why the two unused parameters exist, or more importantly, why there are not six parameters, as there are in the Julia version of the same formula, which is far richer than this Mandelbrot version. With two 4-part numbers included in its calculation, the quaternion Julibrot figure must be 8-dimensional, so there must be six directions perpendicular to any image on the screen, and, as is the case in the Julia version, it should be possible to move the illustrated slice in any of these six directions. I can't escape the feeling that, as it is written, the formula short-changes the user. (The hypercomplex Mandelbrot formula has the same parameter limitation, though in that case I have written my own formula that includes some of the missing parameters and draws some very curious and interesting images.) Actually, I wonder whether the quaternion Mandelbrot set is 4-dimensional at all. It appears to me that we are examining a figure with only three dimensions, which is the 3-dimensional figure that would be traced out if the 2-dimensional Mandelbrot set were to be rotated around its x-axis. All in all, I find the quat formula one of the more disappointing in the program. (Though maybe I am missing the formula's main features.) So what do we do with such a disappointing formula? Why we draw funny faces. Today's image resembles a funny face, and that is what I named it. Try as I might, I could find nothing in it worth a rating higher than a 3. The render time is mercifully short, and this results in an inflated overall worth of 121. The funny face can be found leering from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The rain cleared out quickly here at Fractal Central on Sunday, leading to a sunny and mild afternoon with a temperature of 59F 15C. These conditions must have pleased the cats, for they spent almost three hours in the holly thicket at the bottom of the yard, keeping watch on the neighborhood goings-on. When the day ended, no tuna was needed to put them in a good mood. Today is starting sunny but chilly. We'll wait to see how it goes with the dynamic duo. With me it will go good enough once I finish the three hours or so of work that waits to be done. Then it will be on to Fractal Land and the goodies therein. The next glorious fractal will appear in 24 hours. Until then, take care, and do you believe in the great fractal? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Funny-Face { ; time=0:02:28.19--SF5 on a P200 reset=2004 type=quat center-mag=-0.085743250969516\ 82/0/701.1023/0.03524/-90/7.67164110015983169e-014 params=0/0/0.65/0 float=y maxiter=2500 bailout=9 inside=255 logmap=45 periodicity=0 colors=000OSjPTiQUhRVgSWfTXeUYdVZcW_bX`aYa`Zb__cZ`\ dZaeXafVbgTbgSchQciOdiNdjLdkJekIelGfmEfmDgnBgo9go8\ cjA_fBXbCTZDQVEMRFINHFJIBFJ8BK47L13M47N7AOADPCGQFJ\ QINRKOSNRTQUUSWUTWTTVSTTRURQUQPUOOUMNVKNVIMVHLVFKW\ DJWBIW9HW8HZBJ`EKcHMeKNgNOjQQlTRoWTqZUs`Vmcjgfz_cs\ T`mMYfEV`7SU0QO3SO5TO8VOAWOCXOFZOH_OJ`OMbOOcOReOTf\ OVgOYiO_jOakOYZNUNNRBNSDRTEUUFXVG_WIcXJfYKiZLl_Mo_\ Nn_Nn_Om_Om_Om_Pl_Pl_Pl_Qk_Qk_Qk`Oh`Ne`Lc`K``IZ`HW\ `FT`ER`CO`BM`9J`8G`6E`5B`39`26`14_47Z69Y8BYADXCFWE\ HWGJVJMULOTNQTPSSRURTWRVYQY`P_bOadOcfNehMgjMilMilN\ imNimNinNinNinSheWhYUi_Si`QiaOibMjdKjeIjfGjgEjhCkj\ Akk8kl6km5knKpkYtikxghvfftedrdbqd_kaXf_UaXRXVORSLM\ QIHNGCLIDKJEJKFIMFINGHOHGPHGRIFSJETKDVKDWLCXMBYMBc\ QIiTOoXUt__k`Zc`YCxGApM9hR7aX6Ua4MU3FUAJUHMUKKUKKU\ KKUKKUKKUG19J8HMEOPKVSKbVKiYKpWKjUKeSK`RKWPKRNKLMK\ GKKBIK6HK1GK6GKBGKGGKLGKQ } END PARAMETER FILE=========================================

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Re: Thanx
by JackOfTradeZ 29 Nov '04

29 Nov '04

Thanx Paul. Yes. Same me. (If I get the WOW-thing to work I gonna try to animate it to. Already done a couple with the passes=0 formulas and they're cool.) JoTz

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FOTD 28-11-04 (Follow=up)
by Jim Muth 29 Nov '04

29 Nov '04

>At 12:09 PM 11/28/04 -0700, Lee Skinner wrote: > >>What's weird about this one is that the >>bottom part of the planet's "rings" disappears >>when drawn at the higher resolution of >>1600x1200, instead of being drawn sharper! I replied: >You are probably using passes=g. What's >happening is that the first coarse pass is >probably missing the thin line and assuming >that nothing is there on the subsequent passes. >Try rendering the image with passes=t, or if >that fails, passes=1. Lee, you are right. I spoke too quickly. I checked further and found that the bottom part of the edge-on rings is there only when the video mode is set to SF5 and the passes is set to something other than 'g'. This is regardless of the passes setting at the other resolutions. It's a curious glitch. I'll have to study it further to try to find out what's happening. I also noticed that the upper part of the rings changes color at the other resolutions. This may or may not have something to do with the failure of the lower part of the rings to show up. Jim M.

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FOTD 28-11-04 (The Great Mystery [7])
by Jim Muth 28 Nov '04

28 Nov '04

At 12:09 PM 11/28/04 -0700, Lee Skinner wrote: >What's weird about this one is that the >bottom part of the planet's "rings" disappears >when drawn at the higher resolution of >1600x1200, instead of being drawn sharper! You are probably using passes=g. What's happening is that the first coarse pass is probably missing the thin line and assuming that nothing is there on the subsequent passes. Try rendering the image with passes=t, or if that fails, passes=1. Jim M.

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Re: [Fractint] FOTD 26-11-04 (Hourglass [7])
by Fr. Jim Lacasse 28 Nov '04

28 Nov '04

Jim, this is a very eye pleasing fractal. I'd make it higher than a 7. Fr. Jim >>> jamth(a)mindspring.com 11/26/04 06:41AM >>> FOTD -- November 26, 2004 (Rating 7) Fractal visionaries and enthusiasts: With today's image we return to the 'phoenix' formula, this time to the Julia version. I will not try to describe in words how this complex formula works, but the full details can be seen by striking the 'Z' key when the image is on the screen. Today's image pictures the whole parent fractal, the only change being that I rotated it -90 degrees. I gave the image its name "Hourglass" when it was perpendicular to its present orientation and actually resembled an upright hourglass. As it now stands, the hourglass has tipped onto its side. To add a bit of interest to the image I departed from my usual outside=iter inside=0 routine and set the outside to 'real' and the inside to 'bof61'. The areas of chaotic detail are 'outside'; the hourglass shape itself is 'inside. I must have done something right, for this resulting fractal rates a 7. The rating of a 7 is perhaps slightly flattering, but I did put a bit of extra work into the coloring, and I feel the rating is earned. Despite the complexity of the formula, the image is a very fast one, rendering in only 1-1/4 minutes. Combined with the rating of 7, this speed gives an overall worth of 529. This entire confusion of render time, rating, and overall worth can be avoided by downloading the pre-rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a temperature of 57F 14C, Thursday was mild enough here at Fractal Central, and the showers ended before noon, but the wind blew a gale all afternoon, making the fractal cats too skittish to stay out longer than 15 minutes. They spent most of the afternoon on the shelf by the window, watching the dried leaves blowing around, turning away from the window only occasionally to wash each other behind the ears. Surprisingly, they asked for only a small treat of tuna before bedtime. Today is start- ing sunny, but it is freezing cold. I guess the cats will have very clean ears by the time the day ends. I don't know what I'm going to do for the rest of the day -- I am simply not accustomed to days with totally free time. But I might need a lot of that free time; the next formula in line is a killer. To see what kind of fractal results, check back in 24 hours. Until then, take care, and get in the big time with the big-time fractalists. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hourglass { ; time=0:01:19.42--SF5 on a P200 reset=2004 type=phoenix passes=1 float=y center-mag=0/0/0.7961192/1/-90/-1.233735336115e-014 params=0.2109862666707358/0.9854165166173284/-3 maxiter=250000 bailout=4 inside=bof61 outside=real logmap=yes symmetry=xyaxis periodicity=10 colors=000uhAodAj`AfXAaUAYRAUOARLANJAKGAGBAD9AC5AA\ 1A90A1AAdZAcjAcwA3sCcnCciCUdCK_CAWCCSCDOCFKCGGCICC\ J8CL4CM0CP2JS4PV6VY7a`9gcBnfDthEzbBkY8_T6RR8CQAAOC\ 8NE6MG4LJ8KMBJPEISIHVLGYOF`SEbVDeYChaBkdAng9qk8tn8\ vq5qS2l28h4Ee5Kb6Q_7WW9aTAgQBlNCkOFjOHiOJhOLgOOfOQ\ fPSePUdPXcPZbP`aPbaPd_T`YXXW`UUdQShNQlJPoGNkSLgbUL\ RPSMLZHHdCDk79q2Am8AiEBfKBbQCZWCW`TXfiXlyXrz`jzdbz\ hVzlNzqFzv7zz0zzcqf2jZ3bR4TJ5MB6G46IelrNUdHOSBIF5D\ b4Kz4RuCUpJXkQ_fXbaceXjhSqkUgdWYYYORZFLSEOLDRECTFA\ QG9OG7LH6JH5HL4EO4CS49V47UKFT_NSoUQm`OlfMkmKjsIiyH\ goGefFcXFbOVSJjHEy69vCBsHDpNFnSGkYIhbKfgLifOleQodT\ rcVubYwa_gbeTbkEbqBgm8li6pfFneNldVjdbhcjfcrdbzbbxa\ avaataar``p``n``l``jWdhRhfMleHocCsa7w`3z_CmZL`YUPX\ bCXj0_1DQKUHajLVcPPXSJRWDKZ7EV7LS7SP7ZM7eJ7lQ9dXBY\ cCQjEJqGBwH4kE1fI9aMGYQOTUVOYbKaiFeqBhxGfvKetPdsTc\ qYaoa`nf_ljZkkVddcDgbCjaC } END PARAMETER FILE========================================= _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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More "passes=o" orbit set formulae...
by Hiram Berry 28 Nov '04

28 Nov '04

To any of you who have not downloaded the latest Fractint developer version with the new "passes=o" option for plotting cumulative orbit sets, I heartily recommend you do so! Subsets of these orbit sets taken along closed curves of the domain space can generate curves that are different in visual character from the parent form, and many of them appear to limn curves that are truly fractal, ie. have noninteger Hausdorff dimension. Watching them form, almost all of them seem to be formed by a small number of "packets" of a large number of cogenerated points that move around the screen like pens. I have managed to render some of these with the domain points on the main cardioid only-- some of the Julia orbit sets so formed are particularly nice. [As an aside, in the following there is the option to do the iteration in the negative direction, which is controlled by the parameters in p2 and p3, ie. instead of z->z^2 + C to do z->+-sqrt(z-C). But since -sqrt(z-C) is just as valid an inverse as sqrt(z-C), there is the conundrum of which one to use at each iteration. For a sequence of n iterations there would be 2^n possible inverse sequences. Obviously there is no way to specify them all, so I just let the user choose a modulo arithmetic driven sequence of which branch to choose each iteration.] ---Hiram /* PARS OF A JULIA ACCUMULATED ORBIT SET FROM THE MAIN CARDIOID WITH C AT [1] INTERSECT [1,1/4] AND A PERTURBED MANDELBROT SET */ RingOfFour { ;HiramBerry; Julia orbit set with the iteration curve on the M-set ; main cardioid, with the C-value set at the tangent pt ; of the main cardioid [1] with the positive first order ; period four bud [1,1/4]. reset=2004 type=formula formulafile=orbit.frm formulaname=Jorbitcardioid1 passes=o center-mag=-0.0130781/0.491833/3.277684/1/90/3.88578058618804789e-016 params=0.25/0.5/0/0/0/0 float=y outside=summ periodicity=0 cyclerange=1/1 orbitdelay=100; colors=(a)grad0054.map colors=000X3r<40>v16w15x14x13y12z00<42>ze0zf0zg0zh0zi0<2>zj0yj1yj1xk1xk2\ <71>WyUWyUVzV<43>VxtVxuVxuVxvUww<23>syytyyuyy<3>zzz000000 } PerturbedCardioidO { ;HiramBerry; reset=2004 type=formula formulafile=orbit.frm formulaname=Morbitcardioid1 passes=o center-mag=5.78e-006/-7.005e-006/1.103748 params=0.65/0.1/0/0/0/0 float=y outside=summ periodicity=0 cyclerange=1/1 colors=000NrYX3q<39>v16w15x14x13y12z00<42>ze0zf0zg0zh0zi0<2>zj0yj1yj1xk1\ xk2<71>WyUWyUVzV<43>VxtVxuVxuVxvUww<23>syytyyuyy<3>zzz000000 } /* FRMS TO RENDER MANDELBROT AND JULIA ACCUMULATED ORBIT SETS ALONG THE MAIN CARDIOID*/ Morbitcardioid1{ ;HiramBerry; passes=o,orbitdelay=nonzero. Domain points drawn from the ; main cardioid for Mandelbrot iteration. No point density normalization. ; p1=z_perturb,p2=(iteration dir(0=z->z^2+C,nonzero=cycle period(posint)), ; zerofill(0<=int<=cycle)),p3=(start(posint),skip(posint)),where the iteration ; chooses from {z->sqrt(z-C),z->-sqrt(z-C)} , based on the cycling. Eg. to evenly ; alternate the iteration types use p2=(2,1),p3=(1,1). IF(initialized==0) initialized=1 cols=real(scrnmax),rows=imag(scrnmax),pts=cols*rows rctx2=pts*2 density=pi/pts cyc=real(p2),zfill=imag(p2),start=real(p3)-1,skip=imag(p3) bailout=4 ENDIF disti=imag(scrnpix)*cols+real(scrnpix) z=p1 theta=density*(2*disti+1) ct=cos(theta) r=(1-ct)/2 C=0.25+r*(ct+flip(sin(theta))) IF(cyc!=0) pos=start ENDIF : IF(cyc==0) z=sqr(z)+C ELSE pos=pos-floor(pos/cyc)*cyc ; modulo normalize IF(pos<zfill) ; choose iteration type z=sqrt(z-C) ELSE z=-sqrt(z-C) ENDIF pos=pos+skip ; iterate ENDIF |z|<=bailout } Jorbitcardioid1{ ;HiramBerry; passes=o,orbitdelay=nonzero. Domain points drawn from the ; main cardioid for Julia iteration. No point density normalization. ; p1=C,p2=(iteration dir(0=z->z^2+C,nonzero=cycle period(posint)), ; zerofill(0<=int<=cycle)),p3=(start(posint),skip(posint)),where the iteration ; chooses from {z->sqrt(z-C),z->-sqrt(z-C)} , based on the cycling. IF(initialized==0) initialized=1 cols=real(scrnmax),rows=imag(scrnmax),pts=cols*rows rctx2=pts*2 density=pi/pts cyc=real(p2),zfill=imag(p2),start=real(p3)-1,skip=imag(p3) C=p1 bailout=4 ENDIF disti=imag(scrnpix)*cols+real(scrnpix) theta=density*(2*disti+1) ct=cos(theta) r=(1-ct)/2 z=0.25+r*(ct+flip(sin(theta))) IF(cyc!=0) pos=start ENDIF : IF(cyc==0) z=sqr(z)+C ELSE pos=pos-floor(pos/cyc)*cyc ; modulo normalize IF(pos<zfill) ; choose iteration type z=sqrt(z-C) ELSE z=-sqrt(z-C) ENDIF pos=pos+skip ; iterate ENDIF |z|<=bailout }

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FOTD 28-11-04 (The Great Mystery [7])
by Jim Muth 28 Nov '04

28 Nov '04

At 12:45 PM 11/28/04 -0600, Paul Lee wrote: >Jim Muth wrote: >> >> FOTD -- November 28, 2004 (Rating 7) >> >> I named the image "The Great Mystery". Paul replied: >Not to be confused with the FOTD earlier >this year of the same name: Yes, sometimes repeats do happen. I'll rename today's FOTD "The Great Mystery-2". Jim M.

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FOTD 28-11-04 (The Great Mystery [7])
by Jim Muth 28 Nov '04

28 Nov '04

FOTD -- November 28, 2004 (Rating 7) Fractal visionaries and enthusiasts: Advancing through the Fractint formulas, I checked the 'popcorn' formula and skipped over it because it appears to draw orbits. The present tour of the program is limited to the escape-time formulas. But then, for some reason, I decided to check the 'popcornjul' formula, and much to my surprise found that it does indeed draw what appears to be escape-time images -- and an over- whelming variety of them at that. With four functions and four variable parameters to adjust, and only an hour or so in which to do the adjusting, I was able to only scratch the surface of what this formula might do. I tried using the evolver on the formula, and found that it gave such a huge variety of images with so little relation to each other that it was of little help in finding the best that the formula has in it. In the end I settled on the parameters and functions used in today's image. I named the image "The Great Mystery". Studying the picture, I had the impression that it hints at monumental things, but what those things might be remains a mystery. It could be an edge-on view of the planet Saturn as seen from the upper atmosphere of its large moon Titan. But if so, the ringed planet is in the process of melting. It could be someone's idea of an atom of uranium floating in some multi-dimensional theoretical space. But atoms are not objects that can be pictured as we picture the things in the world around us. It could even be something not yet scientifically proven, which is presently considered para- normal. Whatever it is remains and always will remain a mystery, and this is why I gave the image its name. I rated the image at a 7, mostly because I enjoy mysteries. And one thing not very mysterious is the render time, which is a zippy 15 seconds. When combined, the rating and render time give the image an overall worth of a grossly exaggerated 2726. For those who would rather not render, the GIF image is avail- able on the WWW at the URL: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a mixture of sun and clouds, and a temperature of 52F 11C, Saturday was comfortable enough for the fractal cats to enjoy nearly 2 hours in the yard. When they came in, only a small treat of tuna was necessary. This morning is starting cold, and wet from overnight rain. The rain has ended however. I hope it dries out fast enough for the cats to enjoy a reasonable time in the yard. I have every intention of having the fourth day in a row with nothing to do but take it easy. If this keeps up, I might even start to enjoy it. The next fractal will appear on schedule in 24 hours. Until then, take care, and be a ray of sunshine on a cloudy day. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Great_Mystery { ; time=0:00:15.41--SF5 on a P200 reset=2004 type=popcornjul function=cotanh/ident/\ atanh/acos passes=t center-mag=-5.71433/1.31077/0.\ 06972817/1/45/-5.05012698326368081e-014 inside=0 params=0.05/0.1/1/-0.01 float=y maxiter=300 bailout=25 outside=summ logmap=yes periodicity=10 colors=000AUmATlAQjANeAK`AHXAETABQA8NA5LB3KC2JD1IE\ 0HF0GG0FK0EP0DU0CZ5BcABcFAcKAcPEcUIcZLccPchTcmWcr_\ cuccvfcudctccsbcracq_cpZcoYcnXcmVclUckTckScjQciPch\ OcgNcfMceLcdKccJcbIcaHc`Gc_FcZEcYDcXCcWBcVAcU9cT8c\ S7cS6cW8cZ9cbBceCchDclFcoGcsIcvJcyKcyMcyNcyPcyQcyS\ cyTcyVcyWcyYcyZcy`cyacybcwacu`cs_cq_coZcmYckXciXcg\ WceVccUcaUc_TcYScWRdUReSQgQPhPPiTUiXZj`cjdhjhlteys\ dxravqZsqWpoUmnRjlOgkMeiJbhG_fEXdBUc8Ra6Pd9ReCSgET\ iHVkKWlMXnPZpR_rU`tXbuZcvadwdexfeyieykeulgqmimmkin\ lennaopYorUpsQpuMqwJqxFmyCjzEhxGfvIeuKcsMarO`pQZoS\ XmUWlJUhGViDWiAXj7Yk5Yk6Xi6Wg6We6Vc6Va6U_6TY6TW6SV\ 6ST6RR6QP6QN6PL6PJ6OH6OG7NJ8NL9MOAMQBLTCLVDKYEK_FJ\ bGJdHIgIIiJHlKHnKHpJMiJQcJVYJZSJbLJgFJk9Jo3In4Hm5H\ m6Gl7Fl8Fk9EkADjBDjCCiDBhEBhFAgG9gH9fI8fJ7eK7eL6dM\ 6dM8eLAeKCeJDfIFfHHfGJgFKgFMgEOhDQhCRhBTiAVi9Wi9Ug\ ATeBRcCQaCP`DNZEMXELVFJTG } END PARAMETER FILE=========================================

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Re: WOW
by JackOfTradeZ 28 Nov '04

28 Nov '04

Fractalnauts, I haven't been paying much attention to this list for a while - lotsa work ongoing. But everyone is talking about this WOW thing. Sounds interesting - like I wanna give it a try. Can someone re-post the PAR / files / info for me? Thanks. JoTz

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FOTD 27-11-04 (A Julia Structure [5])
by Jim Muth 27 Nov '04

27 Nov '04

FOTD -- November 27, 2004 (Rating 5) Fractal visionaries and enthusiasts: Today's fractal image was created with the phoenixcplx formula. I am not even going to try to describe how this formula works, (I haven't quite figured it out), but I certainly will be doing further investigation of it in the future when I have finished the tour of the Fractint formulas. For the present I will say only that it draws some very interesting variations of the familiar Julia sets. Today's image is one of the variations. It's a pale lavender image, a harmless peaceful thing, a varia- tion of a Julia set corresponding to a midget on a filament near the northwest shoreline of the main bay of the Mandelbrot set. I named the image "A Julia Structure", and why not? This is exactly what it is. I am certain that this formula holds far more interesting possi- bilities than I was able to find in the hour or so that I worked with it. The rating of an average 5 leaves much room for the greater things I feel will be coming from the formula. The render time of 24 minutes is a bit slow, and holds the overall worth of the image to a modest 21. Those who do not enjoy the hassle of rendering may find the completed GIF image posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The sun was bright but the air was chilly here at Fractal Central on Friday. The fractal cats managed to squeeze in over an hour in the yard -- not as much time as they would have liked. As a result, an extra treat of tuna was needed to ease their disappointment. Today is starting about the same. More of the same is likely from the cats. For me the day will be slow. I'm actually starting to enjoy having the time to relax. Maybe I'll think of retiring and devoting my full time to finding that one elusive perfect fractal. But if I do, it will not be for quite some time yet. The next FOTD will appear here in 24 hours. Until then, take care, and know that magic is not all in the mind. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Julia_Structure { ; time=0:24:03.61--SF5 on a P200 reset=2004 type=phoenixcplx passes=1 center-mag=0/0/18.78152/1/-42.5/0 params=-0.53025/0.668142/-0.001096169927060762/0/0 float=y maxiter=45000 bailout=9 inside=255 logmap=-20 symmetry=none periodicity=10 colors=000g`me_kcZiaYg_XeYWcWVaUU_STYQSWORUMQSGLQB\ GO5BM06MCFIPPGZXBhc6rj2oeEk_PgU_cX``_`YaaUdaRfbOib\ KlbHncEqcAsd7vd4xd7ub9r`Cp_EmYGjXJhVLeUNbSQ`QSYPUV\ NXTMZQK`OJbNOcMSdLXeK`gIciHeeIcbJaZK_WLYSMWPNULOSI\ PQFQOLJURC_W5dPCVJJMDQD7W4zvWur_pnbkjfffiabmXZpSVt\ ORwTQrXQmaQheQdiQ_nQVrQQvQMwTNwWOwZPx`QxcQxfRyhSyk\ TynUypUuoTroTnnTknTgmTdmT`mTYlTUlTRkTNkTKkTLiSMgSM\ eRNcRNaQO_QOYQPWPQUPQSORQORONSMNSKNXPPaURfYTkbVpgX\ tkYWSf5klUgeXj_xOfuMgsLhpKhnJilHiiGjgFjdEkbCk`BlYA\ lW9mU8mLE_CKM4P9ANEFLIKKMPIQUHUZFZcEbhCfmBjr9nw8rx\ GixN`xUTwWVwYXvZZv``ubauccteetfgshhsjjrklrmnrnomkk\ ihheee`baX_ZTXWPVTOSVNQXNOYMM_LKaLIbKGdKEeRKeYPedV\ ek_ehYbfX`dVYbUW_STYRRWPOUOMSNKTTNUZQVcTWiWXnZWj`V\ gaVccU`dUYeTUgTRhSNjSKkRHlRDnQAoQ7pP3rO0swjQsZYerg\ cseatcbqeIcfJegKghLijMkkNmlOomPqjQsdRuZSwTTxOUuNSs\ NPpMNnMLkM6_X6YW6WV6UUhhu } END PARAMETER FILE=========================================

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Re: [Fractint] An Ultimate Par File Collection?
by Vortex Swirling 27 Nov '04

27 Nov '04

Well, I would be interested, but that's easy since I'm the one who brought it up ;) By the way, just so you don't think I'm lame or anything, I'm the one who currently collects Jim's fotd's hosted on Les St. Clair site. I collect the pars and formulas from this list for Les as well, but he's been busy so not to have posted all the 2003 files yet. -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.289 / Virus Database: 265.3.1 - Release Date: 11/15/2004

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Re: [Fractint] Can't reproduce WOW image
by Vortex Swirling 26 Nov '04

26 Nov '04

I run fractint under XP. I've been changing memory setting to no avail. How hard would it be to make fractint a directx application? I hadn't tried it under dos. I used to boot to dos and be able to run fractint on the zip drive. There was ample space for everything on the zip disk. But the zip drive went berserk months ago and I still haven't replaced it. I still wonder why the difference in appearance at different resolutions. Roger -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.289 / Virus Database: 265.4.2 - Release Date: 11/24/2004

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Fractint 20.04 DOS ver reproduces the posted WOW image correctly
by Hal Lane 26 Nov '04

26 Nov '04

######################################################## [SNIP] Date: Thu, 25 Nov 2004 08:02:57 -0500 From: Vortex Swirling <vortexswirling(a)bigfoot.com> Subject: [Fractint] Can't reproduce WOW image To: fractint(a)mailman.xmission.com Message-ID: <6.1.2.0.2.20041125075700.02943d80(a)pop.starband.net> Content-Type: text/plain; charset=us-ascii; format=flowed; x-avg-checked=avg-ok-61C94BFD I've tried to generate the WOW ftod image and don't seem to get the same image as shown on the ftod page. What is even weirder is that at SF5 it generates one image and at SF6 it generates another. I'm using use Fractint 20.04 under XP. I placed the images on the web for comparison. At SF5: http://rogerkaufman.mystarband.net/WOW.SF5.gif At SF6: http://rogerkaufman.mystarband.net/WOW.SF6.gif [END SNIP] Fractint 20.04 DOS ver under Win 98SE reproduces the posted: http://home.att.net/~Fractals_3/FotD_04-11-24.html WOW image correctly, for your information. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ######################################################## --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.799 / Virus Database: 543 - Release Date: 11/19/04

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Re: [Fractint] Can't reproduce WOW image
by Vortex Swirling 26 Nov '04

26 Nov '04

I tried the par with fractint v20 and it does the same thing, the Polynomial Degree won't stay at 100. I wonder how Jim was able to 100? Roger -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.289 / Virus Database: 265.4.2 - Release Date: 11/24/2004

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Re: [Fractint] Can't reproduce WOW image
by Vortex Swirling 25 Nov '04

25 Nov '04

No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.289 / Virus Database: 265.4.2 - Release Date: 11/24/2004

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FOTD 24-11-04 (WOW [7])
by Jim Muth 24 Nov '04

24 Nov '04

FOTD -- November 24, 2004 (Rating 7) Fractal visionaries and enthusiasts: With today's image we advance to the newtbasin formula. This formula uses Newton's method of finding the roots of poly- nomials, and colors the pixels according to which attracting root captures the orbit launched from that pixel's coordinates. I have never done much exploring in the Newton's formulas, which draw lovely images, but seem to me like a long unending scroll that goes on and on with the same beautiful images repeated again and again until eventually, boredom sets in. The newtbasin formula uses a special case of the Newton's algorithm based on the formula (Z^n)-1=0. For today's FOTD I set 'n' to the rather excessive value of 100 and zoomed in on one of the areas of chaos between basins. The resulting image, after a somewhat casual coloring effort, was worth a rating of a lowly 4. But today's image has been rated at a 7, and it is named "WOW", so what happened. Well, while the image was on the screen, Fractal Lady happened to walk into the room, saw the image and exclaimed "WOW!". She claimed it was a 10-rated image if ever she saw one. I still think its rating is closer to a 4, but to make her happy I took the average of our opinions, which was 7, and made that the official rating of the day. Individual viewers are free to rate the image as they see appropriate, anywhere from 0 to 10. I kept the "WOW!" exclamation as the name of the image. The render time of 13-1/2 minutes and rating of 7 give an overall worth of 52. The rendering delay and ratings can be eliminated by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds, dampness, and a temperature of 50F 10C kept the fractal cat duo indoors all day Tuesday. I tried to lighten their moods with several small treats of tuna and turkey, but they were still sullen until shortly after 8pm, when they settled down for the day. Today is starting rainy; I expect even worse moods from the cats. For me, it's the day before the big 4-day Thanksgiving holiday, and I have a rather sizable chunk of work to clear away before I can enjoy 4 lazy days of doing nothing but watching TV and creating fractals. Of course, even then there is no assurance of total tranquility -- there is always the risk of getting dragged to a huge dinner at the house of one of our friends or relatives. But that would be a small price to pay for four days off. In 24 hours I will return with the next FOTD. Until that time passes, take care, and prosper. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Wow { ; time=0:13:27.30--SF5 on a P200 reset=2004 type=newtbasin passes=1 center-mag=-1.4433336971214/+0.9820033722871455/95 params=100/0 float=y maxiter=1500 bailout=9 inside=zmag symmetry=none periodicity=10 colors=000ttMsrMpqMopMmoMlmMjlMikMhhMehMdgMbgMbfM`\ fM`dM`dM_bK_`KY`KY_KX_KXYKWYKWXKWWKUWKUUKSUKSSKRSK\ RRKRPLPPMPNNNNNMLMKJKJGJKIKLKMPMPPNPRPRSPRSRTURUUS\ VWSVXUXXUXYWY_WY_XX`XX`YXbYYd_Yd_Zf`_g`agbahbchddj\ dgkfhkfimgjngknhmphnpjpqjqrktrkutmwtmxtmxtkvtkstjq\ uhnuhlugjughufewdcwdawb_w`Yw`Xx_Ux_SxYRxXPxXNyWMyY\ Ny`PydRygSzjUzmWzpXzrYzu_zx`zzbzzdzzfzzgzzhzzjzzkz\ zkzzmzzmzzmzynzwnzunztpzrpzqpzpqzmqzkrzjrzhrzgtzft\ zbtz`uz_uzYuzXwzWwzSwzRxzPxzNxzMyzKyzIyzKwzKtzKrzK\ pzMnzMkzMjzMgzNfzNbzN`zNYzNXzPUzPRzPPzPMzRKzRHzRFz\ RBzS9zS5zS4zS0zS0zU0yU2xW2wW4uX4tX5rY5qY7n_7m_9k`9\ j`BhbBgbDfdDddFdbDbdFbfHbfIbgKbgMbhMbjN`jP`kR`kS`m\ S`nU`nW`pX_pY_qY_r__r`_tb_td_uf_wfYwgYxhYxjYykYzkY\ zmYznXzpXzqXzqXzrXztXzuXzwXzwYzuYzu_zu_zu`zu`zu`zu\ bzubzudzudzudzufzufzugzugzugzuhzuhzujzujzujzugzwbz\ yYzzWzzXzzXzzXzyXzyXzxXzx } END PARAMETER FILE=========================================

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FOTD 23-11-04 (The Evil Masque [7])
by Jim Muth 23 Nov '04

23 Nov '04

FOTD -- November 23, 2004 (Rating 7) Fractal visionaries and enthusiasts: Today's image was created by the next formula in line, the 'marksmandelpwr' formula, which was proposed by Mark Peterson. This formula is set apart from the other mandelbrot formulas by the function coefficient C that is initialized for each pixel to Z^(Z-1). It draws quite a variety of fractals, some of which are very interesting. With only a limited time to become familiar with the formula, I obviously have missed most of what it can do, but even in the short time I worked with it, I found today's 7-rated image. I named the image "The Evil Masque". I used the fancier spelling for the word 'mask' just to be cute. Actually, a masque is a masquerade ball rather than a covering that disguises the face, so today's image, which resembles a leering alien face, could more properly be titled "The Evil Mask". To produce the mask, I set the function to 'tan' and the inside to 'atan'. The object that I rotated -90 degrees and turned into a mask is right on the surface of the resulting fractal. The leering face effect is even more striking when seen from across the room. The unusually smooth color gradients go a long way toward giving the impression of reality. Unfortunately, I can not take credit for the color palette. The program did most of the work, leaving me only a few registers to tweak. Such an evil apparition surely deserves a high rating. I rated the image at an appropriate 7. The render time of a mere minute gives an overall worth of 552, but all things such as rendering and overall worths can be ignored by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds hung heavy all day here at Fractal Central on Monday, but the temperature was a mild 59F 15C, and the rain was limited to a sprinkle that fell after dark. The fractal cats managed enough outdoor time to keep their moods bearable. Today is starting cloudy but dry. The cats will likely have a similar day. My work is rather heavy today, but not heavy enough to keep me from the fractals. So until next time, take care, and don't be a gloomster, be a fractalist. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Evil_Masque { ; time=0:01:16.02--SF5 on a P200 reset=2004 type=marksmandelpwr function=tan float=y center-mag=-0.217674/0/1.450501/0.8113/-90/3.88578\ 058618804789e-016 params=0/0 passes=1 bailout=1600 inside=atan logmap=yes periodicity=10 colors=000zYSxXSvWStVSrUSpTSnSSlRSjPShOSgNSgMSfLSf\ KSeJSdIScHSbDJaEM`FP_GSZGVXJYVM_TPcQShOVmLYrJ`v6cz\ A`vD_sHYpCWmEVmFUmHTmISnKRnLQnNPnOOoQNoRPoTRpUTpWV\ pXXpZZq_`qabqbdrdfrehrgjrhlsjnskpsmrtnttpvtrwuqxtp\ xtoxtnxtmxtlxtkxtjxtjxsixshxsgxsfxsexsdxscxsdxucxt\ cxsbxrbwrbwqavpavpauo`un`tm`sm_sl_rk_rkZqjZqiYphYo\ iYogXngXnfXmeWmdWlcWlcVkbVkaVjaUj`Ui_TiZThZTgYSfXS\ eXSdWRcVQbUPaUO`TN_SMZSLYRKXQKWSKVRKURKTRMSRKSQKRR\ KRPKQQKQPKPPKPOKOPKOOKNOKNOKMOJMNILNHLNGKMFKMEJMDJ\ KCIKBIKAHJBHJCHJDHIEGIFFIFEIFDHECHEBHEBGDAGD9GD8FC\ 7FC6FC5EB4EB3EC09B2CB3EB4HB5JB7MA8OA9RAATACVADY9E_\ 9Fb9Hd9Ig9Ji3Gt5Hq6Io8Jm9KkBLiCMgENeFOcHPaIQ_KRYLS\ WNTUOUSQVQRWOTXMUYKWZIX_GZ`E_aCabAbc8ec1dd3cd5cd6b\ d8adAadB`dD_dF_dGZdIZeJYeLXeNXeOWeQVeSVeTUeVTeXTeY\ Sf_Sf`RfbQfdQfePfgOfiOfjNflOdpNeoNenNfmNflNgkohSng\ SnfSmeSmdSlcSlbSkaSj_SjZS } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 22-11-04 (Quantae [NA])
by Vortex Swirling 23 Nov '04

23 Nov '04

I looked through my (what I'm now finding to be rather diminutive) megabytes of par files, and found 3 occurrences of MarksMandel. I made sure to tease out MarksMandelPwr which occurs much more often. Here was the most interesting one. No need to catalog this one, it was in the Evolver.par by "Pusk s Istv n jr" 3 { reset=2000 type=marksmandel center-mag=-3.55271e-015/-1.075e-006/0.04167974 params=-0.478560747093112/-0.2037720877712333/1 bailoutest=manh inside=zmag outside=imag invert=0.548753318887906/0.2593768120365/0.659840693380535 decomp=256 sound=off colors=000<8>a00e00i00<3>z00<9>zb0zf0zj0<3>zz0<9>OzbKzfGzj<3>0zz<9>0Oz0K\ z0Gz<2>04z00z20v<8>K0OM0KO0G<3>W00<25>6nn5pp4rr<3>0zz<9>bzgfzejzc<3>zzW<\ 25>Ca6A`58_4<2>2X10W00V1<24>06Q05R04S<2>01V00W22X<24>nntppurrv<3>zzz<31>\ 000 } -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.289 / Virus Database: 265.4.1 - Release Date: 11/19/2004

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FOTD 21-11-04 (Seasonal Ornament [7])
by Jim Muth 22 Nov '04

22 Nov '04

FOTD -- November 21, 2004 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal takes us onward to the marksjulia formula. I had a bit of a problem with this formula, which draws Julia sets identical to those drawn by the classic Z^2+C formula. As far as I could tell, the extra parameter does nothing more than multiply the number of lobes of the Mandelbrot version and change the size of the Julia sets drawn by the Julia version. I was unable to find anything that could not have been created more simply by the more simple julia and mandel formulas. To find today's image, I set the parameter to 4 and checked the Julia sets associated with one of the four resulting Seahorse Valleys. To avoid too obvious a repetition of an image that could just as easily have been done by the julia formula, I rendered today's image with the inside set to 'zmag' and the outside set to the color 001. The resulting image, though obviously a Seahorse Valley Julia set, is different enough to qualify as FOTD for November 21. In fact, it is different enough to rate a 7. When adjusted for the render time of 3 minutes, the rating gives an overall worth of 228. The image reminds me of a fancy Christmas tree ornament, so I named it "Seasonal Ornament." The way to see the ornament is to run the included parameter file or to download the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds and occasional sprinkles here at Fractal Central on Saturday kept the fractal cats indoors. The temperature of 59F 15C was mild enough, but the cats prefer their paws and whiskers dry when they explore the yard. Their day ended with a treat of tuna. Today is starting cloudy and damp, but a clearing is on the way. (according to the experts) I hope it arrives in time to give the duo an hour or two of outdoor comfort. With little to do but TV and fractals, my day promises to be good enough. Check back here tomorrow for the next FOTD. Until then, take care, and fractals don't have a ghost of a chance if there is no screen. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seasonal_Ornament { ; time=0:03:04.43--SF5 on a P200 reset=2004 type=marksjulia center-mag=0/0/0.850340\ 1/1/-10/3.88578058618804789e-016 params=0.65873435\ 84704123/0.6573484715109714/4 float=y maxiter=1010 bailout=10000 inside=zmag outside=1 logmap=yes periodicity=10 colors=000000ZNRYLUXKXVI`UGcTEfSDiQBmP9pO7sN6vVEmb\ LdjTWq_No`On`PlaQkaQiaRhbSfbSebTccUbcU`dV_dWYdWXeX\ VeYUeYWgXXhXYiWZjW_kV`lVamUbnUcoTdpTeqSfrSgsSdrW`p\ ZYnbUleRkhUldWm`YnY`nUboRdpNfqKiqGkrDms9os6qlEsfLu\ `SwU_yOfzImzCtzGpzKlzOhzSdyW`y_XxcTxgPwkLwoHvsDvtA\ rqBnlCkhCgbDcXE`SEXRFTQGQPGROFRNFSMFSLFTKFTKFTKFUM\ FUNFVPFVRFWSFWUFWVFUZDSbCRfAPj9Nn7Mq6QnATkDWhHZeKa\ bOd_RgXUkUYnR`qOdtLgwIkzFnzCqxDjsEcnEYpGWqHUrISsJQ\ qMOoPNmSMkVLiYKg`JecIcfHaiG_lFYoEWrDUtCWrEYpF_oHam\ IclJdjLfiMhgNjePldQmbSoaTq_UsZWuXXvWYogmirzentbjl_\ fdXbXUZPKwPRqOYlNdfMkaLrWKyRJzMJzPMySOuURrXTnZWkaY\ hc_g`bfYesVzUvqUvpVwpVxpWxoWyoXzoXzoWxpVwpUvpUupTt\ pSrpRqpRppQopPnpPmpOkpNjpMipMhpLgpKfpJdpJcpIbpHapH\ `pG_pFZpEYpEXpDWpCVpCUpDWoEXnEZnF_mFamGclGdlHfkIhj\ IijJkiJmiKnhKphLrgLsgKofKleKieKfdKcdK`cKYcKVbJSbJP\ aJMaJJ`JG`JD_JA_J7ZJ4Z000 } END PARAMETER FILE=========================================

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FOTD 17-11-04 (Man-of-War Jungle [6])
by Jim Muth 21 Nov '04

21 Nov '04

FOTD -- November 17, 2004 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal was created with the 'manowar' formula, a formula that draws Mandelbrot-type fractals. I have no idea why the formula was given such a name. Maybe the writer got the formula to draw something that resembles a man-of-war. While working with the formula, I was struck by the fact that the images it draws seem to have no truly trapped points. All the apparent inside areas that I was able to find can be filled in by a sufficiently large maxiter. Sometimes, the maxiter must be as large as 1,000,000,000 but the end result is always an image with no trapped points. I did these fill-in tests at a very small image size however, so I could have missed a truly open area or two. Today's scene lies in a perturbed parent fractal. It is a very fine example of the type of feature I call a dry lake. These 'dry lakes' start out with the symmetry that indicates a midget lying at their center, but the lakes eventually dry up, as has happened at the center of today's image, which is quite symmetri- cal but has no midget. I named the image "Man-of-War Jungle". I gave it this name because it was created with the manowar formula and some of the elements look a bit like palm trees. Other viewers might see something else in the image, but I see a jungle. The rating of a 6 is perhaps a bit high, but I did put some extra effort into the coloring, and IMO this justifies the name. The render time of over 6 minutes results in an overall worth of 94. The man-of-war may be seen more conveniently by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The temperature reached 65F 18C here at Fractal Central on Tuesday. The wind was light and the sun was bright. These are perfect conditions for fractal cats, who, like all other cats, demand comfort. The fractal ones were out from 11am until sunset, which is before 5pm at this time of year. They were so tired when they came in that they almost forgot to eat. Today is starting just as warm but with more clouds. The duo should once again be comfortable. With no huge work backup before me, my comfort depends only on finding a proper fractal in the next formula. Check here tomorrow to see my degree of comfort. Until then, take care, and find happiness lies in the fourth dimension. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Man-of-War_Jungle { ; time=0:06:23.05--SF5 on a P200 reset=2004 type=manowar center-mag=-0.005780030929\ 82347/+0.01506436629442627/270932.9/1/-2.5/6.57777\ 304846618449e-012 params=-0.04035188397285378/0.18\ 03508718197241 float=y maxiter=3500 bailout=9 inside=255 logmap=627 periodicity=10 passes=1 colors=000aQl`Rk_SjZTiYUhXVgWWfVXeUYdTZcS_aR`_QaYP\ bWOcUScRSaOS_LTYITW9TUCTSGUQFVOEWMDXK8YIAXGCWFDVFF\ UGHTGIRGKQGMPHNOHPNHRNJPMIRMHSMHTMGUMFWMFXMEYMEZLD\ `LCaLCbLBcLAcKAcJ9cI3cH9cG9cFCcEEcDHbFJYHMUJOQLRMN\ TOPWQQWSRYUS_WTaYTb_Xca_dcbeeffgigilhkmimnjooinojj\ oilohioggofdoebod`ocYobWoaTo`Ro_OnZMlZLjYKiWOfUScR\ WZP_TOcMOg2Ri3Uj4Yl5am7eo8ip9mrAqsBstCrrDppEnoElmF\ ikGgjHehHcgI`eJZcKXbKV`LSZMQYNOWHFaKJYNMVPPSSTPVWM\ XZJ_bGbeDcfCcgBdgAbfB`eC_cCYbDWaEV_ETZFRYGQWGOVHMU\ ILSIJRJFRGIQJKTMMXPO_SQbUSfXUi_WmbYpeZi`Zg`ZeVZcPZ\ aHZ_IZXJZVKZTKZSL_QM`QNaSNbUOcVPeVQfVQgWRhYSiZSiZS\ j_SleJnj8pmBqoEpmHpjKogNmdRmaPn_OoYNoXMpXKqYJqYIrZ\ HsZFsZEt_Du_Cu_BteHskNrmTqnUpkUnhVmfVkcWj`WiYWgWXf\ TXdQYcNYbLYaRZaX_ab``ha_iaah`c`_eU_gMZiFYk7Xm0Xp2c\ r4it5ot8ptBqtDqtGrtIstLstNttQutSutVvtXwt_wtaxtdytf\ yo`okVffPYbJPYDGU77W95XB4 } END PARAMETER FILE=========================================

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FOTD 14-11-04 (Black Flag [4])
by Jim Muth 21 Nov '04

21 Nov '04

FOTD -- November 14, 2004 (Rating 4) Fractal visionaries and enthusiasts: With today's fractal we move on to the 'manfn+exp' formula. This formula gave me a fight when, knowing next to nothing about how it works, I tried to make it do something interesting. I forget all the tricks I tried, but nothing much happened until I tried the 'abs' function. The fractal I found defies descrip- tion. A a good idea of its appearance can be gained however by viewing today's image. The image is not quite like anything I have done before. When I saw it, I found nothing in it that might inspire a name. After puzzling over the image for a few minutes, I noticed what looks like a small, triangular black flag waving in the upper right part of the frame. I named the image after this unimportant feature. When I saw an image so unlike my usual fractal fare, with no Mandelbrot midget at its center, I could rate today's FOTD no higher than a humble 4. But it is actually a rather active, jazzy image, well worth the 5 minutes required to run the inclu- ded parameter file. When it is combined with the rating of 4, this 5-minute render time gives an overall worth of 76. As a side note, today's image is the last one I will create with the current version of Fractint. A slightly updated version has just been released, and I will use it for all future images. I am kind of curious about what kind of images the new passes=o option will draw. As always, the finished GIF image is or soon will be posted in all its glory on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> There was lots of sun here at Fractal Central on Saturday, but the wind blew all day and the temperature never made it above 43F 6C, which was simply too cold for the delicate ears of the fractal cats, not to mention their whiskers and paws. They chose to venture no farther than their porch chairs. Today is starting about the same. Little change is expected. I am planning on another slow day. The work is caught up; the fractals are brewing on schedule; is that a burst of philosophy I feel coming on? Check back tomorrow, same place same time, to see what, if anything, comes of this. Until then, take care, and if every conscious entity were suddenly removed from the universe, would the material part of the universe still exist? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Black_Flag { ; time=0:05:17.63--SF5 on a P200 reset=2003 type=manfn+exp function=abs passes=1 center-mag=-3.69511578397888100/-4.784533569672067\ 00/496.1529/0.08901/-157.725134848375319/72.874014\ 7653520154 params=0/0 float=y maxiter=1200 bailout=100 inside=255 logmap=64 periodicity=10 colors=000zKNzUNzcNzgNZzMmpMzzzzzLWmLqwLUcKcrKSUK_\ hJQoJPKJOKJNfLMKNLKPKKRJKTKLVNNXPPZSR`UTbVVbWUcWUd\ WUdXTeXTfXTfXTgYShYShYSiYSjZRjZRkZRl_Ql_Qm_Qn_Qn`P\ o`Po`Pp`PqaOqaOraOsbNsbNtbNubNucMvcMwcMwcMxdLydLyd\ LzdLzcMzcMzcMzbMzbMzbMzaNzaNzaNz`Nz`Nz`Nz_Nz_Oz_Oz\ ZOzZOzZOzYOzYOzYPzXPzXPzXPzWPzWPzWQzVQzVQzVQzUQzUQ\ zUQzTRzTRzTRzSRzSRzSRzRRzRSzRSzQSzQSzQSzPSzPTzPTzO\ TzOTzOTzNTzNTzNUzMUzMUzMUzLUzLUzLUzKTzKSzKSzJRzJRz\ JQzJQzIPzIOzIOzHNzHNzHMzHMzGLzGKzGKzFJzFJzFIzFIzEH\ zEHzEGzDFzDFzDEzDEzCDzCDzCCzBBzBBzBAzBAzA9zA9zA8z9\ 7zA8zA9zBAzBAzCBzCCzDDzDDzEEzEFzFGzFGzGHzGIzHJzHJz\ IKzILzILzJNzJPzJRzJTzJVzJWzKYzK_zKazKczKezKfzJgzJg\ zJgzJgzIhzIhzIhzIhzHizHizHizHizFjzHizJhzLgzNfzOezQ\ dzSczUbzVazX`zZ`z`_zaZzcYzeXzgWzhVzjUzlTznSzoSzjTz\ fTzaTzYUzTUzPUzKVzGVz8XzCVzFUzJTzMSzQRzTQzXPz_NzcM\ zfLzjKzmJzqIzsIztHztHztHz } END PARAMETER FILE=========================================

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FOTD 20-11-04 (Monster Carnival [7])
by Jim Muth 20 Nov '04

20 Nov '04

FOTD -- November 20, 2004 (Rating 7) Fractal visionaries and enthusiasts: The next formula in line in our tour of the escape-time formulas of Fractint is the 'manzzpwr' formula. This formula raises Z to the power of the previous Z and adds Z raised to a user-defined power before adding C. One would think that this would produce some very interesting images, but when I began work with the formula, I was almost immediately disappointed. The first thing I found is that when the formula calculates, it truncates the fractional parts of values entered as the exponent, (not that I expected fractional values to make much of an improvement). Then I realized that the formula produces little beyond an endless series of bits and pieces of perturbed Mandeloids. I did stumble upon traces of a few distorted midgets, which appeared to be mildly interesting, but not being in the mood to determine critical points, I let these midgets go without further investigation. I soon came to the conclusion that, if I were to get anything of FOTD value from this formula, I would have to do it myself. So I took the image that results when the exponent is set to -12, rotated it -90 degrees, chose an appropriate cropping, and began trying the different inside and outside options. The 'atan' option seemed to work best with both the inside and outside parts of the scene. After a few minutes of working with different color palettes, I found today's image. It kind of reminds me of a carnival tent sitting on a hill, so I named it "Monster Carnival". Since I thought I did a pretty good job with the coloring, I rated the image at a 7. The render time is a very fast one minute, so the overall worth comes in at a very impressive 835. The crazy carnival tent, if that's what it is, may be viewed by running the included parameter file or by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Clouds that hung around all day Friday here at Fractal Central were offset by the failure of the predicted rain to arrive, as well as the light winds and unusually mild temperature of 63F 17C. The cat duo approved by staying out in the yard for three hours. The high point of the day came when Tippy went for a squirrel, causing the squirrel to drop his nut and scamper up a tree, from where he scolded loudly. This morning is starting mild and damp, with showers in the area. I fear the good day for the duo will not be repeated. Unless some unexpected work arrives, I will have a day of peace and relaxation. The next FOTD fractal will appear in 24 hours. Until then, take care, and I hear it's all right to start eating carbs again. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Monster_Carnival { ; time=0:01:20.80--SF5 on a P200 reset=2004 type=manzzpwr passes=1 periodicity=10 center-mag=1.34097/0/0.3257576/1/-90/-1.2337353361\ 1470521e-014 params=0/0/-12 float=y maxiter=1500 bailout=10000 inside=atan outside=atan logmap=yes colors=000RVASVASVBTUBTUBUUCUUCUTDVTDVTEVSEURETQFS\ PFROGQNGPMGOLGNKFMJELIDKHCGGBDFBFECGDDHCDIBEJAEKCF\ MDFNEGOGGPHHQJHRKITLIUNJVOJWPKXRKYSLZTL`VMaWNbYNcZ\ Od_OeaPgbPhcQieQjfRkhRliSnjSolTpmTqnUrpUsqVsrXtrVt\ rUtqStqRtqQtpOtpNtoLtoKuoJunHunGumEumDumCulAul9vl7\ ul8uk9tkAtjBtjCsiDsiDrhErhFrgGqgHqfIpfJpeJpdKodLoc\ MncNnbOnbPmaPmaQm`Rl`Sl_Tk_UkZVkYVjYWjXXiXYiWZiW_h\ V`hV`gUagUbgTcfTdfSeeTcdUbfSdgQdiObkM`lK_nHYpFWqDV\ rBTs9Rt6Rt7Qu7Qu7Pu7Pt7Ps7Or7Or7Nq7Np7No7Mo7Mn7Lm7\ Lm8Ll8Kk8Kj8Jj8Ji8Jh8Ig8Ig8If8He8He8Gd8Gc8Gb8Fb9Fa\ 9E`9E_9E_9DZ9DY9CY9CX9CW9BV9BV9BU9AT9AS99SA9RA9QA8\ QA8PA7OA7NA7NA6MA6LA5KA5KA5JA4IA4IA4HC5HD6HE7HF8HG\ 9HHAHIAGJBGKCGLDGMEGNFGOGGPGGQHFRIFSJFTKFULFVMFWMF\ XNFYOE_PE`QEaREbREcSEdTEeUEfVDgWDhXDiXDjYDkZDl_Dm`\ DnaCobCpbCqcCrdCseCtfCugAwhCvgDugEtgFsfGsfHrfIrfJr\ fKqfKqfKpfKpfKofKofKnfKmf } END PARAMETER FILE=========================================

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Re: [Fractint] An Ultimate Par File Collection?
by Vortex Swirling 19 Nov '04

19 Nov '04

Such a large file could be built out of all the pars. I organize my par file finds into directories which are named appropriately for the author or some other logical organization. Some par writers do place their name in the comment field or within each par. But others, without some speck of information from the file name, have no known origin if taken out of that context. That is why I'd like to keep current practices intact and just search everything. Parsers can be made to work in most situations. I'd code something like this if I had the resources and time. It would keep track of all the pars, formulas and maps in any directory tree(s) specified and place just what is needed in the fractint directory to run. It would include directory and filename text as what would be searchable. Roger -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.289 / Virus Database: 265.4.0 - Release Date: 11/18/2004

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FOTD 19-11-04 (Retro-Virus [7])
by Jim Muth 19 Nov '04

19 Nov '04

FOTD -- November 19, 2004 (Rating 7) Fractal visionaries and enthusiasts: Today we move on to the manzpower formula, one of my favorites. I have done so much exploring in this formula (and formulas I have written myself that do the same thing) that I already know where the goodies are likely to be found. For today's fractal I calculated the Z^(2.003)+C Mandeloid. This fractal looks quite like the classic Mandelbrot set except along the negative stem, which is broken apart into infinitely divided sub-stems. I chose to explore the area immediately east of the large midget on the stem, an area where the break-up is particularly interesting. After only a few minutes, I tracked down today's scene, which lies on one of the fractured stems. The tiny midget at the center is surrounded by one of the most unexpected patterns in all of fractaldom. To emphasize the unusual pattern, I gave the image a very strong color palette, perhaps going a bit beyond the most pleasing point of color intensity. When the time to name the picture arrived, I had a bit of trouble thinking of a fitting name for such a scene. Then I glanced at the cover of the December issue of 'Scientific American' magazine, which had just arrived in the mail and was lying on the table beside the fractal desk. On the cover is a picture of a virus, illustrating the inside article 'Are Viruses Alive?'. The virus looks quite like a 3-D fractal, with its feelers reaching out, ready to latch onto and burrow into any susceptible cell it happens upon. Then I glanced back at the screen, and saw the same feelers surrounding the midget in the image I had just finished. It was total synchronicity. I immediately named the image "Retro-Virus", one of the varieties of viruses. I was ready to give the image a rating of 8, but then I remem- bered how many times I had been here before, and how I found the scene with almost no effort. I settled on a rating of 7. A rating of 7 is above average however, and at under 6 minutes, the render time is within reason. The render time combines with the rating of 7 to give an overall worth of 123. When I finished the fractal, I read the magazine article. I was not surprised when the article said that whether or not viruses can be considered alive depends on one's definition of the word 'life'. (The writer must be a politician.) One thing not under dispute is that the completed GIF image of today's fractal will soon be available on the FOTD web site. The URL is: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds cleared away by noon on Thursday here at Fractal Central, leading to a sunny and warm afternoon with a temperature of 66F 19C. The cats had another excellent day in the yard, watching the birds and squirrels. No special treat was needed to end their day happily. Today is starting cloudy and mild. If the sun breaks through, it could be a repeat. In my department, the unexpected rush job has been cleared away, with only a small bit of fine-tuning to do before returning to the world of fractals. Whatever I find there will appear as tomorrow's FOTD. Until then, take care, and viruses may or may not be alive, but what about fractals? Are they alive? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Retro-Virus { ; time=0:05:42.51--SF5 on a P200 reset=2004 type=manzpower passes=1 center-mag=-1.74332121452800500/+0.000087077710564\ 06/5.828169e+007/1/157.5/-5.86284235604139781e-008 params=0/0/2.003/0 float=y maxiter=7500 bailout=9 inside=0 periodicity=10 colors=000rCCrCCoEEmFGkGIiHKgILdJNbKP`LRZMTXNUVOWS\ QYQR_OS`MTbKUdIVfFWhDXiBYk9Zm7_o5`p4eb3jQ2oD2s06o4\ Ak7EgAIcDM_GQWJTTNXPQ`LTdHWhDZl9ao6dn5cm5bl5bl5ak5\ `j5`i4_i4_h4Zg4Yg4Yf4Xe3Xd3Wd3Vc3Vb3Ub3UYAWTHXPOYK\ U_G``Bga7zbzzazz`zz`Hj_JjZLiZOiYQhXShXVgWXgWZfVaeU\ ceUedThdSjcSlcRobQqbQsaPuaPp_OkYNfWNaUMXTLSRLNPKIN\ JDMJELLFLMGKNHKOHJPIJQJIRKISKITJHSJGSIFRIERHDQHDQG\ CPGBPFAPF9OE8OE8ND7ND6MC5MC4LB3LB3LC4KC5JC6JC6IC7H\ C8HD8GD9GDAFDAEDBEDCDDCDEEEFFFGGGHHHIIIJKJKLKLMLMN\ MNONOQOPRPQSQRTRSUSSVSXXVaZYf``nUPeYS0aV0eY0i`07c0\ 8b09b0Ab0Bb0Cb0Db0Eb0Fb0Gb0Hb0Ib0IcAId2Ie6If9IgDIh\ GIgKIeNIcRJaUK_WMYXOWYQUZSU_UU`UULUUUUUaUUcPTc3IcE\ KcPMcaQcZNcWKcUIbRFZOCUMAQJ7G96JD5MH5PL4SP4VT4YX3_\ _3bc3eg2hk2ko2ns1qw1sz1tv2us3uo4vl5vh6we7xa8xZ9yVA\ ySBzOCzLCuJDqIDmGDiFDeDEaCEYAEU9EQ8EX9Jc9NjASw1St6\ UqAWnEYkIZhN`eRbcVcqEDrDC } END PARAMETER FILE=========================================

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An Ultimate Par File Collection?
by Vortex Swirling 19 Nov '04

19 Nov '04

Hi, Jim Muth's examples of all the Fractint built in formula's has been very interesting. Every once in a while I search my pars collection for some of the rarer formulas he's been presenting lately. I use software called "Find It Pro" which can be set up to search the par files for various text strings. I like Find It Pro over some Indexing service like Google Desktop because I only search occasionally and I don't need all that overhead. In any case, some of the rarer formulas might have only every been submitted in public par files less than 10 times which I find interesting in and of itself. I have a large number of par files to search including the fotd's and list submissions. As far as individual artists, I once started collecting them but have never been diligent enough to even expand many of the zip files I've downloaded (which don't get searched by the way). I was wondering, has anyone ever seen or built what might be considered most of the pars submitted over the years? Something like OrgForm but for pars? --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.796 / Virus Database: 540 - Release Date: 11/13/2004

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Re: [Fractint] An Ultimate Par File Collection?
by Vortex Swirling 18 Nov '04

18 Nov '04

hajotem and Paul, 28MB?! Do you have any idea how many pars that is? That is some pretty diligent collecting I will have to say. I know I've run across lots of par files I haven't bothered to download. To go back and try to find everything now, well, I could do it, if that is the only thing I did on the web for a few months. But if some central collection was formed I'd be able to tell if I had something that wasn't there (improbable). But if others did that it could grow. I was trying to think of a way to organize them similar to Orgform but I don't think there is a simple way. The natural way is by author, but in some cases, such as fractal contests or list contributions, the authors are all different. Perhaps that isn't the way to go, rather it might be considered a data mine. If the program that searched the par files could pull those individual pars out into a list, and then additionally search for candidate formula(s) that match, it could then build the par/formula that could be submitted to Fractint via Pastengo. If the pars came up in a list this way, the author could be listed in a column along with other info. The point is, once it can be searched like that then file organization becomes less of an issue. Unfortunately, the search program I use only goes down to the par file level which I open as text, find the par and then cut and paste into Pastengo. It works to do this but it could be more seemless. Roger -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.289 / Virus Database: 265.3.1 - Release Date: 11/15/2004

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FOTD 18-11-04 (Portuguese Man-of-War [5)
by Jim Muth 18 Nov '04

18 Nov '04

FOTD -- November 18, 2004 (Rating 5) Fractal visionaries and enthusiasts: When I was working with yesterday's formula, which is the Mandelbrot version of today's manowarj formula, I could find no truly open areas in which the points are definitely trapped. This does not mean such areas do not exist, only that if they do, I found none of them. Today's Julia version continues the same trend. True, a large open area does lie at the center of today's image, but the area is not truly open. It shrinks as the maxiter is increased, and with a large enough maxiter would likely vanish entirely. With today's image I can see why the formula is named manowar. The shape in the picture looks just enough like a drifting portuguese man-of-war to inspire its name. In the twisting elements of the image, the tentacles swirling in the currents can be imagined, as I suppose the sting can also be, at least by those who have been stung by one of these colonies of jellyfish. The magnitude of the image is a measly 3.4, yet it takes almost one hour to render on my worn-out P200 unit. (It renders in just under 7 minutes on my fastest machine.) The slowness is due to the unusually large maxiter of 250,000 and the lack of periodicity to speed things up in the large pseudo-open area. As for a rating -- I could give the image only a 5. It is basically a slight enlargement of half of the parent fractal -- something that most casual explorers would come upon. To make matters worse, when the render time of almost one hour is taken into consideration, the overall worth registers a nearly worthless 8.7. But all is not lost, for the rendering wait can be eliminated by downloading the already-rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Wednesday turned out to be a repeat of Tuesday here at Fractal Central, with lots of sun and a temperature of 61F 16C. The cats had another great day. Today is starting cloudy and not quite as warm. The cats will likely find it good enough, but only time will tell for sure. My good day will be delayed until the unexpected large design job now before me is put behind me. The next FOTD fractal will appear in 24 hours. Until then, take care, and be an activist for the environment. Go out and Demon- strate against a butterfly catastrophe. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= PortugueseManOfWar { ; time=0:57:39.31--SF5 on a P200 reset=2004 type=manowarj center-mag=-0.00783669/\ -0.291023/3.392057 params=0.03/0 float=y inside=0 maxiter=250000 bailout=9 logmap=yes periodicity=10 colors=000bHi_JgXLdUMbRO`OPYLRWKSVJRUIQTHPSHORGNQG\ MQFLNEKKCJHBIF9IC8J97K7DMCJPHQSMXWRbZWha`mceqdjsgk\ uhnsgmpdmn`lkXlhVkfUkeYmddockqbrsaup_xnZzkYziWygUu\ fSqdRmcPjaNf`MbZKZYIVWHSVLU`OWfRYkU_qZ`uXavWawUawT\ axSaxQbyPbzNbzMbzLbzJczIczGczFczEczHbzKbyNawPauS`s\ V`qX_n__lbZjdZhgYfjYdwXglYbbZZS_UI`Q8aMBbNDcNFdNHe\ NJeNLfNNgNPhORiOTiOVjOXkOZlO`mOTezbmOajRahU`eW`cZ_\ ``_Zcs8Y_XeEweHumrIWzCRsGVlKZdObYSfQWjBVlJ_nRcoZgq\ olzfkrZkfQkVIkJAk8ClFDlMElSFlZHleIlkJlrKlxOfrSamWW\ g_RbcLXgGSkAMo5HpGJpRLq`NqkPrwTquRpsQoqPnoOmmNlkMk\ iLjgKieJhcIgaHhaFg`Gg_GgZHgZHgYIgXIgXJgWJgVKgUKgUL\ gTLgSMkRKgSMcSN`SPXSQUSRQSTNSUJSVGSXCSY9SZDUYGVXKW\ WNYWRZVU_UGQfX`UllJmjImiImhHmgHmfGneGndFncFnaEn`Eo\ _DoZDoYCoXCoWBtW9oVBjUDeUE`TGWSIPQESSJVTNXUS_WWaX_\ dYdfZhi`lkaqnbupcyq`xqZxqWxqUxrRxrPxrMwrKwsHwsFwsC\ wsAwv6zs8wpAumBrjDpgEndGk } END PARAMETER FILE=========================================

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FOTD 16-11-04 (Something is Fishy [5])
by Jim Muth 16 Nov '04

16 Nov '04

FOTD -- November 16, 2004 (Rating 5) Fractal visionaries and enthusiasts: Today we see what we can wring from the manlam(fn||fn) formula, a variation of the Mandelbrot formula that was proposed by Jonathan Osuch. In the formula, the magnitude of the current orbit value is used to switch between two different variable functions. (In C programming language the '||' is the logical 'or'.) Curiously, I have never counted the number of different functions available in Fractint, though my guess would be around 20, which would give this formula the ability to draw around 400 different fractals. As would be expected, some combinations of functions draw blank screens, while other combinations draw very interesting fractals. With a total of around 400 combinations to try, I was forced to let many go untried. I finally chose the cos/sqr combination, which draws two distorted Mandelbrot sets sitting butt to butt. Raising the shift value to an astronomical 1000000 revealed that these Mandeloids are surrounded by an extraordinary array of filaments, which with only a little imagination can be seen as herring-bones. I named the final image "Something is Fishy" because the filaments surrounding the central midget remind me of fish skeletons. The formula almost certainly has better fractals in it than I was able to find in only an hour. The rating of a 5 is my way of saying that today's image is nothing exceptional among the images that the formula might produce. Like a witch's broom, today's image is as fast as lightning. It renders in only 21 seconds, and this with the single-pass rendering option, which is the slowest, most accurate method of rendering. This hyper-speed gives the image an unjustified overall worth of 1394. The fun way to see the image is to run the included parameter file. The convenient way is to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The fractal cats were quite happy when the sun shone brilliantly and the temperature rose to 61F 16C here at Fractal Central on Monday. They spent over three hours in the yard, doing next to nothing. When evening arrived, they came inside without a complaint. BTW, fractal cats are indistinguishable from ordinary every-day non-fractal cats. The only difference is that the pet humans of fractal cats are fascinated by fractals. Today promises to be warm again, but with perhaps a bit less sun. The cats should be happy again. The commercial work is still up to date, so I'll be happy too. The next FOTD will appear in 24 hours at this same place. Until then, take care, and count those fractal carbs. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Something_is_Fishy { ; time=0:00:21.53--SF5 on a P200 reset=2004 type=manlam(fn||fn) function=cos/sqr passes=1 center-mag=-1.263291907718205/+2.94746802\ 7564623/8.384535e+007/1/107.5/-2.8308692836265e-006 params=0/0/1000000 float=y maxiter=267 bailout=1000000 inside=0 logmap=12 periodicity=10 colors=00058A6GB7LB9TJTbPhpUzlDwsFzrOcozckzchzvtzt\ bcrLWq4WnASkGOhMKfSGcYC`c8Zh4_f6`h7`k8anAbqBbtCXwE\ RzFLzHFzIIzFKzDMzAOz8Qz5Sz3Pz4Nz4Kz4Iz4Fz5Dz5Az58z\ 5BzCEzIHzOKzUNz_QzeTzkWzqRzjMzcIzXDzQ9zJ4zC0z6CzGO\ zP_zYkzfvzowzkwzhxzdxzaxzYyzVyzRyzOwzFvzLuzQuzWtz`\ szfszkmzfgzaazXYz_VzaSzdPzfMziJzkQzcXzWczPjzHqz9xz\ 2Yz98zF7zL7zR7zWEzXLzYSzZZzZez_lz`rz`lzcfzeazhWzjR\ zmLzoGzqFzqFzqEzqEzqDzqDzqEzoEznEzmEzlEzkEziEzhEzg\ Fz2EzfEzeEzdEzbEzaEz`Ez_EzZEzXEzWEzVEzUEzTEzSFzQFz\ PFzOFzNFzMFzKFzJFzIFzHFzGFzFFzDpzVpzMqzDqz4jzDdzMZ\ zUTzbNzkHzsRzq`zpizosznzzmyzivzdsz`pzWmzSjzNgzJpzG\ yzEzzCzzGuzKozNizRczUYzYSz`WzZZzXbzVezUazZYzbUzfQz\ jMznIzrEzuJzjNz_QzYSzXVzVXzU_zTazRdzQfzPgzThzWizZi\ zbjzekzhkzkjzjizihzhgzgfzffzfizbkzZmzVpzRrzNtzKMzX\ Pz_SzaVzcYze`zgbziazh`zh_zgZzgYzgVzdTzbRz`PzZizczz\ hzzkyzmwzouzqGzMBzH7zD3z9 } END PARAMETER FILE=========================================

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Fractint/Xfractint Version 20.4 is now available
by Jonathan Osuch 16 Nov '04

16 Nov '04

Version 20.4 patches and executables (DOS) are now on the developer's web site: www.fractint.org What's new: Incremented the version number to accommodate backwards compatibility for the mandel based per-pixel routines that were not setting the Y variable. Added a passes=o option that draws an image by plotting the orbits of the escape time fractals and leaving them on the screen. This technique uses the same coordinates to draw an image as the other passes options, sets "passes=1" and no symmetry, and then plots the orbits for each pixel. See {Drawing Method}. Cleaned up panning logic. Cleaned up docs. Xfractint fixes: Fixed the newton and newtbasin types in Xfractint so they would work without using the FPU=387 option. Fixed the Xfractint mandelbrot code in calmanfp.c so that the image generated matched the one produced by the StandardFractal() routine. Fixed the outside=sum option when used with the mandel fractal type. Fixed the command line option -geometry, which broke at 20.2.05. Jonathan

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Re: orbits par
by JackOfTradeZ 16 Nov '04

16 Nov '04

Thanks Jonathan. That worked. Those are seriously cool images! I need to check this out some more, try to create an animation ....

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Fractal cats . . .
by Jim Muth 16 Nov '04

16 Nov '04

Fractal cat fans: Due to the outcry demanding pictures of the fractal cats, and growing doubts that they even exist, I will soon have pictures of the dynamic duo ready to be posted on the FOTD web site. I have intended to make their pictures available for over a year. It's one of those things that I intended to do but never seemed to get around to. FOTD coming in 9 hours. Jim M.

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Re: [Fractint] An Ultimate Par File Collection?
by Vortex Swirling 16 Nov '04

16 Nov '04

Paul, Is this your personal archive or do you have a link to it on the Internet? --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.796 / Virus Database: 540 - Release Date: 11/13/2004

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Is a picture of the fractal cats available on the web anywhere?
by Hal Lane 16 Nov '04

16 Nov '04

########################################################################### Is a picture of the fractal cats available on the web anywhere? - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ###########################################################################

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Re: [Fractint] Is a picture of the fractal cats available on the web anywhere?
by BillatNY＠aol.com 15 Nov '04

15 Nov '04

Hal, Check out the picture of my cat on the first link below. The bad news is that I've lost the formula for this fractal. Bill Rossi _http://members.aol.com/billatny/_ (http://members.aol.com/billatny/) _http://www.arts4u.org/rossi/_ (http://www.arts4u.org/rossi/)

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The only picture of a fractal cat I could scare up was
by Hal Lane 15 Nov '04

15 Nov '04

The only picture of a fractal cat I could scare up was at: members.aol.com/ k3psw/fracat.htm - Hal Lane ######################### # hallane(a)earthlink.net # #########################

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FOTD 15-11-04 (Truncated Minibrot [6])
by Jim Muth 15 Nov '04

15 Nov '04

FOTD -- November 15, 2004 (Rating 6) Fractal visionaries and enthusiasts: With today's image we tackle the manfn+zsqrd formula, a formula that multiplies Z by one of the functions, adds Z^2, then adds C. The result of this trickery is a formula that draws fractals that are basically distortions of perturbed Mandelbrot sets. In fact, some functions actually do draw perfect M-sets as well as the familiar perturbed sets. In today's image I used the 'trunc' function, which is a function I very rarely use. Like the 'floor' 'ceil' and 'round' functions, it rounds off the calculation and therefore breaks the image into large discrete chunks. I usually find the fractals created by these functions too chopped up to be of much interest, but today's parent fractal is intact enough to be considered a single entity, which makes it worth further investigation. The parent fractal of today's scene consists of a single large Mandelbrot set surrounded by smaller sets. Some of these smaller sets are pretty much intact, others are cut off. Today's scene lies in the northern branch of the Seahorse Valley of a midget that sits some distance west of the large M-set. Only the west half of the midget is there; the east part has vanished into limbo. The name "Truncated Minibrot" refers to the larger cut-off midget in whose Seahorse Valley today's scene lies. Perhaps because I was surprised at how well the 'trunc' function worked, I rated today's image at a 6. The render time of just under 17 minutes results in an overall worth of 35. By download- ing the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> time can be saved and the overall worth can be forgotten. A sunny but chilly Sunday here at Fractal Central, with a temperature of 50F 10C, was just fair enough to let the cats enjoy over an hour in the yard. Their evening moods reflected the improved conditions, making an extra treat unnecessary. Today is again starting chilly, but it is expected to turn warmer by afternoon. It looks like another acceptable day for the duo. As for me, the moderate amount of work before me will be behind me by noon. Then it's on to the fractals. Very possibly I'll find something of real interest. Until next time, take care, and know that every fractal takes you closer to infinity. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Truncated_Minibrot { ; time=0:16:56.73--SF5 on a P200 reset=2004 type=manfn+zsqrd function=trunc passes=1 center-mag=-2.061222634101924/+0.03859064620506061\ /3.444947e+012/1/55/0.0 params=0/0 float=y inside=0 maxiter=6000 bailout=100 logmap=1213 periodicity=10 mathtolerance=/1 colors=000FXFFTFFQFFOFFJFFFFG7FI3FG3FF3F9DF4OM0XTI\ O`YFgm6rjAuiDvfPxdPycUzdPyfNxg9vg6vi6jj6`l6Pl6Fz0O\ z0X0o43dA6XFAOJDDOI4SL0XVmfcjYjgQrdIzaAz_1zX0v0zf4\ gSGPDS60c00d00d00f00f30g70gA0gD0lC0oA0sA1v96z79z79\ z67z67z63M00L00J00L06M0CM3DJ0FG0GD0IA0J70L40M10Q40\ T70YA4`CAcFGgILjLQmMVfLT_JSSJQLIQDGP6GO0FM0FM0Qzz0\ zo0vc1oS9gIF`MFSzGvzDumSiSd_6rP9MjC0zG0xL0pP6iTAaY\ GVaLOfQGjV9_c6Oj3Cr00y04p67gDA_LDQTGI`J9gMIaPPYSXT\ VcPYjL`rGcyCCY91T0JL1`DCr4Mz0Xz0Vs0Tl0Sg0_d0da0jY0\ rV0xS0zT0rV9fXIXYSL_`9_i0gr6oyCxzJzzPzyGvj9rX0mI0d\ G1YGAQGJJGSCG`DFQFDIFD9FADF9GF7LF6OF3QF1VF0YF0`TIX\ g`TvsPzzMjDlfLccQV`XMXcFTi6Qo0Ou0Vr0ao0gm0oj0ui0ia\ 4YXGMQSALaLPmVSydVziYzm`uramvdgzg`ziTzlMzmGzuPuzYl\ zfczoTv0Xv0Yv6`vCavIcvOfvTgx_izdmzYrzSuzMjz_`zlQzy\ IzzSzm`zPiz0Qz07z0Dz0Jz3Pz9VzG`zMVzQPzTLzXFz`9zc4z\ fJzlYzrlzxzzzzzzzzzzzrzzi } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 09-11-04 (Mandy Times Mandy [5])
by Jim Muth 14 Nov '04

14 Nov '04

At 11:30 PM 11/10/04 -0700, SherLok Merfy wrote: >Increasing the precision (mathtolerance=/-1) seems to result in >an out-zoom. . . . Yes. The program will not calculate at a magnitude beyond the magnitude at which the designated precision fails. Decreasing the precision permits greater magnitudes to be reached, albeit at the cost of some image degradation. > . . . Do you mean that chip-math is correct when the arbitrary >precision is supposed to be more accurate? . . . Both math routines are accurate, but they work at different magnitude ranges, and arbitrary is much slower. I believe arbitrary precision is available for only the mandel, julia, manzpower, and julzpower formulas. I include a mathtolerance entry in the parameter files of images that have a magnitude very near the limit of precision. I do this to assure that no unintended outzoom happens when the file is run. I also add a mathtolerance entry to 'mandel' images with a magnitude very near the point where arbitrary precision math kicks in. I do this to assure that the image uses the fast chip math when it renders. > . . . Back when I was telling FracTint that I had an ATI >Mach32 (It's a 64, now. I gave the MicroChannel machine away.), >I had trouble using the arbitrary precision at all. Maybe you were trying to use it with a formula that it does not work with. As far as I know, arbitrary math works with only the four formulas I mentioned above. Jim M.

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Re: orbits.par
by JackOfTradeZ 14 Nov '04

14 Nov '04

I get an error message: "oops I don't understand passes=0". What am I missing?

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FOTD 13-11-04 (Mystic Energies [6])
by Jim Muth 13 Nov '04

13 Nov '04

FOTD -- November 13, 2004 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal image was created with the mandphoenixclx formula, and is the first fractal I have found with this formula. Like the mandphoenix formula, the mandphoenixclx formula comes in three versions, and obviously has far more potential than I was able to find in the mere hour or so of investigation I put into it. I named the image "Mystic Energies". We live in a universe of energy, some of which is tied into tiny knots of matter, some of which spans and energizes the galaxies. Many of the cosmic energies have yet to be discovered. Some are not even dreamed of. The name of the image refers to all the mysterious energies of the universe that are not yet to be discovered, particularly the stuff known as 'dark energy'. I rated the image at a 6, which is not so bad considering that I have worked with the mandphoenixclx formula a total of less than one hour. The short render time of 2-1/2 minutes raises the overall worth to a very respectable 243. The rendered image is posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may be conveniently downloaded. The cold rain fell steadily all day Friday here at Fractal Central, while the cats sulked steadily all day. The dynamic duo really does not enjoy such days, and showed it in their attitudes. This morning is starting sunny but cold. Hope- fully, the fractal cats will forget yesterday. With only a small bit of real work to clear away, I plan on doing little for the rest of the day other that watching the games on TV and finding fractals. I cannot guarantee that the home team will win the big game, but a good fractal is almost certain. To see how good, check back here in 24 hours. Until then, take care, and fractals can be every bit as good as one wishes them to be. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mystic_Energies { ; time=0:02:28.13--SF5 on a P200 reset=2003 type=mandphoenixclx passes=1 inside=0 center-mag=-0.00108763/0/61.30584/1/-90/-1.2337353\ 3611470521e-014 params=0/0/1.05/0/-3 float=y maxiter=600 bailout=9 logmap=101 periodicity=10 colors=000KmqKmpKmoKlnJlmKklKkkKjkKjlKimKimKhnKhoK\ goKgpLfqLfqLerLesLdsLdtLcuLcuLbvKcxLbvMauN`tO_sPZr\ QYqQXoRWnSVmTVlUUkVTjVShWRgXQfYPeZOd_Nc_NbXQdVSeTV\ fRXgP_hMajKdkIflGimEknBnp9pq7sr5us3xt1zu3wr5up7rn9\ pkBmiDkgFhdGfbIc`KaYMZWOXUQURSSPTPNVNKYKI`IGcFDgDB\ kA9n87o98q99pA9oAAnAAmBBlBCkBCiCDgCDeDEcDEaDF_EGYE\ GWEHUFHUFISGJRGJQGKOHKNHLMHLMIKMIJLIILIILIHMIGMIGM\ JFMJEMJEMJDNJCNJBMJBLJAKK9JK9LK8NK7PK7RK6TK5UH1TK5\ SN9RQDQTHPWLOZPNaTNj`MdXL_TLVPKZLJcHGhIhmEmrBmw7mz\ 4mz1mz1mz1Or1Ne1Mb1L_1KX1KU1JR1IO1HL1GI1FF1EC1D91D\ 61AF27N34W41c53b95bC7bF9aJBaMDaPF`TH`WJ`ZK`aM_`N_`\ OZ`PZ`RZ_SY_TY_UY_WXZXXZYXZZWZ_WZaVYbVYcVYdUYfUXgU\ XhTXiTXjTXcZdXdkQjsJozNpxQpvUptXpr`ppcpngpljpjnphq\ pfupdxpbvq`urZsrXrsWqsUotSntQmuPkvNjxLhxJgyIfzGdzE\ czCbzB`z9_z7_z3Zz6Yz8XzAWzCWzEVzGUzITzKSzMSzORzQfz\ efzdezcezbezadz`dzZdzYczX } END PARAMETER FILE=========================================

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FOTD 11-11-04 (Fire in the Hole [6])
by Jim Muth 11 Nov '04

11 Nov '04

FOTD -- November 11, 2004 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal takes us on to the mandellambda formula. This formula draws two Mandelbrot sets touching butt-to-butt, with two East Valleys positioned as though they were 'North' and 'South' valleys. The position makes little difference in the appearance of the inner detail however. These two valleys are 'East' valleys all the way down. I chose a scene in a narrow part of an elephant-trunk spiral in the 'North' valley, and zoomed in on a midget there. The midget appears as today's FOTD. As can be seen at once, it is a typical East Valley midget, holding little that has not been seen before. As a result of this lack of originality I could rate the image no higher than a 6, even after putting some extra work into the colors. For some reason I named the picture "Fire in the Hole", most likely because of the fiery reds, oranges, and yellows. The phrase is the warning to take cover shouted by miners when the explosive is in the hole in the mine wall and the fuse is lit. I doubt that mine blasting is still done this way, though the warning cry might still be used. The image is not the best of all time, but with an overall value of 221 it is worth a look. The image may be seen by copying this message into your Fractint directory, with a .par exten- sion, and running it as any other parameter file, or by download- ing the image directly from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A temperature of 50F 10C here at Fractal Central on Wednesday was marginal to say the least, but the bright sun and light winds made it bearable for the fractal cats, who passed several hours keeping the yard clear of invading tomcats. Only a small treat was needed to end their day on the up side. Today will be warmer; the duo should be happy. I see no potential problems arising in my department. The work is basically up-to-date, and the fractals keep coming. The next fractal will arrive in 24 hours, so check here at that time to see what appears. Until then, take care, and maybe we should organize a protest about fractal inequality. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Fire_in_the_Hole { ; time=0:02:43.62--SF5 on a P200 reset=2003 type=mandellambda passes=1 center-mag=+0.99031025554014310/+0.155570614457200\ 80/1e+007/1/180 params=0/0 float=y maxiter=2800 bailout=36 inside=0 logmap=184 periodicity=10 colors=000AkzAizAgzAezAczAazA_zGYzLWzQUzVSz_PzdEzi\ Bzl8zp2zl6zi9tfDpbGk_JfXNaTQXQTRLXNG_IBaD6b61d10f0\ 0g20i80kD0lI0nN0nT0nY0nb0pg0pl0kn0cz0bx4`w9_uEZsJX\ qJVoMTlMRiLPfJNdIKaGFYE9UD1QB0E509501A04G06N08T09_\ 0Da0Ef0Gl0Ir0Lw0Nz0Oz0Qz0Rz0Oz0Lz2Iz6Ez9BzD8zG4zL1\ zO0zR0zV0zY0zX0zZ0v_0q_0kY2dW9YTZURbPQgHOh8NgT4kY0\ lb0ig1fl3cq9awFazKXzNRzTNzYGzbBzg6zk1zm0zn0zn0zm0z\ k1zi2zi2zi4zi6zg6zg8zg9zg9zd8za6zY4zX2zT1zQ0zN0zL0\ zDVzGQzJLqNGmQDmT8mX2m_0mY1mY1mX1mX2mV2mTEmT2kT4gT\ 4dR4aR6YQ6_Q6_O8aO8bN8dN8dL9fL9gJ9gJBiIBkIBkGDlGDn\ EDnEEpDEqGEsJItNGtQGtTGtXGt_KtbPtfUsaZq_coYhmWmkUr\ iSwgQzgOxgMwgKtiIsiGpiEnkClkAkk8gk7fl8dl9blC_nDYmE\ XhHVcNRZRQUVOPZNKbJFfIAjG5nO0rN0qN0pL2qL8sLBtJEwJJ\ xJNzIRzIVzIYzGbzGfzGkzEnzEbzJfzIgzIizGkzGlzGnzEpzE\ qzOrzLszKtzKuzKvzKwzKxzKyzKzzKzzKzzKzzKzzKzzKzzKzz\ KzzKzzKzzKzzKzzKzzKzzKzzK } END 20.0 PAR-FORMULA FILE==================================

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XFractint and SSTOOLS.INI
by David Jones 11 Nov '04

11 Nov '04

Just starting to use XFractint (part of the process of switching to Linux) and wondering about some stuff. 1) Any chance of getting it to recognize the various subfolders I have stuff organized into (FMR, IFS, etc)? I have my various fractal projects all located in a folder called WORK, it would be nice to be able to browse to it and get back to working on my images. It only seems to be able to see items in the folder you were in when you started it - nothing above or below that. 2) Does it use the SSTOOLS.INI? I copied mine over and updated it to reflect the new Linux paths, it reads it (at least it gave me some error messages that were fixed by remming out some [labels]) but doesn't seem to be picking up any paths or preferences from it. 3) No pallette editing? Pressing the E key with either window active does nothing. Not that I think Fractint's palette editing UI is very usable, but it would be nice to have around. 8-( 4) Any other how-to resources around for it? David gnome(a)hawaii.rr.com

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FOTD 09-11-04 (Mandy Times Mandy [5])
by Jim Muth 11 Nov '04

11 Nov '04

FOTD -- November 09, 2004 (Rating 5) Fractal visionaries and enthusiasts: Today's fractal formula, the 'mandel4', is nearly as simple as the classic Mandelbrot formula. In fact, it *is* the Mandelbrot formula, with Z raised to the power of 4 rather than 2. Since 2 times 2 equal 4, I named the image "Mandy Times Mandy". Unlike the classic Mandelbrot set, which has one large lobe, the Z^4+C mandeloid has three main lobes, and is shaped very like an equilateral triangle. In keeping with the parent fractal, the midgets are shaped like triangles and the buds and sub-buds have three lobes. The inner details are very much like the details of the M-set, with slightly fancier seahorse tails in the valleys leading to the main buds and extra elephants in the valleys jutting into the main bay. Perhaps the main difference is that in the Z^4 set the elements around the midgets branch repeatedly into 4 smaller elements rather than into 2 as they approach the edge of the midget. But the Z^4 set has one thing that the classic M-set does not -- valleys that separate the lobes in the buds, and it is in these areas that most of the interest lies in the fractal. With a magnitude of almost 2x10^12, today's image lies near a larger midget very deep in one of these new valleys. The extreme magnitude requires the 'mathtolerance' entry in the parameter file to assure that the image renders at the correct magnitude. I rated the image at a 5. There is really little in it worth a higher rating. But with a render time of only 7 minutes, the image is worth a look. The rating and render time combine to give an overall worth of 54. Those who feel that an image rating a 5 is not worth waiting over 9 minutes to see may see it quicker by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Chilly winds, too little sun, and a temperature of only 48F 9C made life difficult for the fractal duo here at Fractal Central on Monday. They in turn made life difficult for me -- difficult that is until I filled their food bowls with tuna and salmon. Then they became the happy cats we have known and loved for 14 years. Today is starting sunny, but the temperature is hovering around freezing. More tuna may be needed before the day ends. I will need no tuna to make me happy. Only a small bit of work lies before me waiting to be done. By 2pm I will have finished and the sailing will be smooth to Fractal Land. The fractal I find there will appear as tomorrow's FOTD. Until then, take care, and don't be a gloomster. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandy_Times_Mandy { ; time=0:09:18.21--SF5 on a P200 reset=2003 type=mandel4 passes=1 center-mag=+0.03915334545225174/+0.796786825682308\ 70/1.84718e+012/1/-22.5/-0.000748740511517090312 params=0/0 float=y maxiter=16000 bailout=9 inside=0 periodicity=10 mathtolerance=/1 colors=000niipilogjnehmcglael_dkYbjWaiU_iTZhUXhUWh\ UUhVThVRhVQhWPhWNhWMhXKhXJhXIhVLhTOhRRhPUhNXhMZfKW\ dIUbGRaFP_DMYBKXAHV8FT6CS5AT88UB7VE6WH5XK4YN3ZQ2ZT\ 1WV6TXARZFO`JMbOJdSHeXEg`Cie9ki7mn4mm2mm3mm4mm5lj6\ kf7jb8i_9gWAfSBeOCdKDgGEjDAmW7qcCukHtiLrgQqeVpcZna\ cm_hlYljWqiUuhSpfVldXgb_c`a_ZcVXfRVhMTkIRmEPoBHa8A\ PC9QG8QJ8QN7QR7QU6QY6R`5Rd5Rh4Rk4Ro3Rr3RmBOiJLdRI`\ ZFXeCQiLKlUDpa7sj1vrGsyInoJjeKeWMaMNXCOT3MU4LU4KU5\ JU5IU5GV6FV6EV7DV7CV7AU89S88Q97O96M99KAC6AH7BM7CQ8\ DV8EZ9Fc9FgAGlAHpBIuBJyBJxEMwGOvJQuLStOUsQXrTZrV`q\ Ybp_dobgndimgklimkloknqimogmnelmcllalk_kjYiiWggUef\ SceQadO_cMYaOWYQUUSSQUQMWOIYME_KA_MAaPBbRCdTCeVDfY\ Eh_EiaFjcFlfGmhHojHplIqoJsqJtsKuuKvtJvtJvsJvsJwrJx\ rJyqJzqJzqJzpJzpJzoJyoJxnJwmJvkJthKqbLnXMkRNgLOcGO\ `IMYKKVLJUNHTPGSQESSDRTBQVAPX8NY7L_5K`4Na8PbBSbEUc\ HWdLZdO`eRbfUefXgg`ihclhf } END PARAMETER FILE=========================================

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FOTD 10-11-04 (Jailhouse [8])
by Jim Muth 10 Nov '04

10 Nov '04

FOTD -- November 10, 2004 (Rating 8) Fractal visionaries and enthusiasts: In today's image, which was created by the 'mandelfn' formula, the periodicity is critical, and must be set to 50. The bailout of 100 is critical, and the maxiter of 240 is critical as well. It goes without saying that the function must be set to 'sin'. When all these parameters are set correctly and the magnitude is set to 1.6, the screen will be blank. The 'inside' must then be set to 'atan' to reveal the image. When this is done, we find ourselves faced with a glorious array of multi-colored jail bars. I can't imagine what we might have done to find ourselves in jail. The only time I have been in jail was when I played 'Monopoly'. But numbers don't lie. We are in jail, and I don't know how we got here. Without the 'atan' inside fill, the parent fractal consists of a pair of empty Mandeloids sitting butt to butt, the inner details of which are apparently the same as those of the Mandelbrot set. I therefore wasted no time examining it. I named the image "Jailhouse". The bars inspired the name. I rated the image at an 8, perhaps a bit liberal, but it *is* a bit above my average fractal fare. When the very brief render time of 41 seconds is considered, the overall worth registers an inspiring 1159. The bars of the jailhouse may be seen by running the included parameter file. The minor task of running the file can be avoided by downloading the completed GIF image from Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and getting out of jail that way. A mostly sunny day on Tuesday was spoiled by the temperature of only 45F 7C, which was too chilly for the delicate ears and whiskers of the fractal cats. It seems that the older they get, the more picky they become. But all ended well when a treat of tuna and left-over meatloaf was served. The duo ended the day peacefully. This morning is once again sunny but very chilly. It remains to be seen how well the cats will make out. The commercial work is almost non-existent today. This is good news about the next fractal, which will appear in 24 hours, more or less. Until then, take care, and search for fractals as you go through the day. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Jailhouse { ; time=0:00:41.58--SF5 on a P200 reset=2003 type=mandelfn function=sin passes=1 center-mag=0.00861346/0/1.604292/1/-90/-1.23373533\ 611470521e-014 params=0/0 float=y maxiter=240 bailout=100 inside=atan logmap=yes periodicity=50 colors=000LJXPIWQIXQIXQIXQIXQIXQIXQIYRIYRIYRIYSJ_T\ K`ULaVMbVMbSMbVMbVMbVMbXN_WM`WM`WMaWMaTMbVMbVLcVLc\ VLdULdULeTLeUKfUKfTKgTKgTKhTKhTJiSJiSJjSJjSJjSJkRJ\ kRIlRIlRImRImQInQInQHoQHoQHpPHpPHrPHrPGtPGtOGvOGvO\ GxOGxQHzPGzPGzOGyOGwNGvNGuMGtMGrMGqLFoLFoKFmKFlJFk\ JFjJFjIFiIFhHEgHEfGEfGEeGEdFEcFEbEEbEEaDD`DD_CDZCD\ ZCDYBDXBDWADVADV9CU9CT9CS8CR8CR7CQ7CP6CO6CN5BO6CN6\ CN6CN6CN6CN6DN6DM6DM6DM6DM6EM6EM6EM6EL6EL6FL6FL7FL\ 7FL7FL7GK7GK7GK7GK7GK7GK7HK7HJ7HJ7HJ7HJ7IJ7IJ7IJ7I\ I8II8JI8JI8JI8JI8JI8KH8KH8KH8KH8KH8KH8LG8LG8LG8LG8\ LG8MG9MG9MF9MF9MF9NF9NF9NF9NF9NE9OE9OE9OE9OE9OE9OE\ 9PD9PD9PDAPDAPDAQDAQDAQCAQCAQCARCARCARCARCARBASBAS\ BASBASBASBASBATBAUBAUBAVBAWBAWBAXBAYBAYBAZBA_BA_BA\ `BAaBAaBAbBAcBAcBAdBCeBEeBGfBIgBKgBMhBOiBQiBSjBUiF\ WjDYjB_kAam8co6eq5gs3iu2kw3tz3tz2sz1rz0qz0pz0oz0nz\ 0mz0lz0kz0jz0iz0hz0gz0fz0 } END PARAMETER FILE=========================================

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FOTD 08-11-04 (Discarded Shavings [5])
by Jim Muth 08 Nov '04

08 Nov '04

FOTD -- November 08, 2004 (Rating 5) Fractal visionaries and enthusiasts: Today we venture into the mandel(fn||fn) formula to search for any goodies that might lie therein. When working with the formula, I soon discovered that when the second function is set to sqr and the shift value is set to zero, the formula draws a Mandelbrot set regardless of the first function. Then, as the shift value is slowly increased from zero, spurious debris gradually appears in the Mandelbrot set, finally overwhelming and totally obliterating the set. The different first functions create different kinds of debris. To create today's image, I chose a first function of exp and a shift value of a very small 0.006. The resulting Mandelbrot set had strange new features in the centers of the buds and main bay. I chose the feature in the center of the largest bud to be FOTD for today. The name "Discarded Shavings" came about because the image reminds me of a pile of wood shavings. The rating could not be above a 5 because the colors could use more work. More importantly, the parent fractal, which can be seen with a single outzoom, might well be better than today's FOTD itself. In fact, I would rate the parent fractal at a 6. The rating of 5, when adjusted for the render time of 1 minute, gives an overall worth of a rather inflated 477. The image may be viewed by running the included parameter file or by download- ing it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a high temperature of 71F 22C, full sun, and light winds, Sunday was spectacular here at Fractal Central. The fractal cats must have agreed, for they were so enthusiastic that they got into a minor fight in the yard. Thomas walked away with a scratched nose; Tippy walked away the victor. Today is starting mostly sunny but much cooler. The cats have made up. We shall see how the rest of the day goes. For me, the day will most likely be acceptable. With any luck at all, tomorrow's fractal will be acceptable also. To see if the luck happens, check back here in 24 hours. Until then, take care, and don't let the lack of daylight darken your outlook. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Discarded_Shavings { ; time=0:01:02.89--SF5 on a P200 reset=2003 type=mandel(fn||fn) function=exp/sqr passes=1 center-mag=-1.00686/0/12.09543 params=0/0/0.006 float=y maxiter=500 bailout=9 inside=atan logmap=yes symmetry=none periodicity=10 colors=000aI0aK0aM0dO0fQ0hS0iU0kW2mY5n_7raAscEueGw\ gJyiLzkOzmQzoTzqXzsZzuazwczzfzzmzzkzzizzhzzhzzfzyd\ zxdzwczvazuazt_zsZzrZzqXzpVzoVznTzmRylRykQwjOwiOuh\ MugLsfLreJrdHpcHpbGnaEm`Em_CkZAkYAiX9iW7hV7fU5fT3d\ S3dR2cQ0aP0aO0_N0_M0ZL0ZK0XJ0VI0VH0TG0TF0RE0RD0TC0\ TB0TA0T90V80V70V60V50X40X30X20X20Z20Z20Z20Z20_20_2\ 0_20_20a20a20a22a22c23c03c03c05d05d05d07d07f07f09f\ 09f0Ah0Ah0Ah0Ch0Ci0Ci0Ei0Ei0Ek0Gk0Gk0Hk0Hm0Hm0Jm0J\ m0Jn0Ln0Ln0Ln0Mp0Mp0Op0Op0Or0Qr0Qr0Qr0Rs0Rs0Rs0Ts0\ Tu0Vu0Vu0Vu0Xw0Xw0Xw0Zx0Zy0Xx0Zw0Zv0Zu0Zs0Zr0Zp0Zn\ 0Zm0Zm0Zk0Zi0Zh0Zf0Zd0Zc0Za0Z_0Z_0ZZ0ZX0ZV0ZT0ZR0Z\ Q0ZO0ZM0ZM0ZL0_J0_H0_G0_E0_C0_A0_90_70Z50X30V20T00\ R00Q00O00M00L00J00H00G00E00C00A0090070050030020000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 0000000000000000000000000 } END PARAMETER FILE=========================================

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FOTD 07-11-04 (Fractal Squiggles [7])
by Jim Muth 07 Nov '04

07 Nov '04

FOTD -- November 07, 2004 (Rating 7) Fractal visionaries and enthusiasts: With today's image we move on to the 'mandel' formula. What was the first fractal I saw on a computer screen? It was the Mandelbrot set. In which fractal have I done the most exploring? It is the Mandelbrot set again. What is the best fractal of them all? This really is a meaningless question, but if the question had meaning, the answer might be the Mandelbrot set a third time. Attractive fractals are so easy to find in the Mandelbrot set that searching there is almost like cheating. I am not ready to say that I cheated when I found today's image, but I found it so easily that the search was almost automatic. The midget in the image is located on a bug-like feature on a side-spike extending from the northwest shoreline of the main bud of the large midget on the negative X-axis of the Mandelbrot set, very near the point where the spike changes from a chaotic, zig-zagging trail to an almost straight line. I named the image "Fractal Squiggles". The squiggly rays radiating from the midget inspired the name. I rated the image at a 7. It is above average, though the rating is somewhat arbitrary, as I have not determined a reference standard. The render time of 15-3/4 minutes results in an overall value of 444. The finished GIF file of the image will soon be posted on the FOTD web site, which may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Except for a slightly chilly temperature of 55F 13C, the condi- tions here at Fractal Central on Saturday were ideal. The cats agreed, and were as good as cats can possibly be. Nothing but their regular meal was needed. Today is starting much the same. Things look good for the duo. For me, it's a slow day. I have a few e-mails to reply to and another fractal to find. I will return in 24 hours with that fractal. Until then, take care, and be at ease in the universe of fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Squiggles { ; time=0:15:44.77--SF5 on a P200 reset=2003 type=mandel passes=1 center-mag=-1.7770821624818612711/0.00661321891750\ 3051743/1.606645e+016/1/-75/1.31075705844807544e-0\ 14 params=0/0 float=y maxiter=1200 bailout=9 inside=0 logmap=215 periodicity=10 colors=000A0AA0AA0AA0AA0AA0AA0AA0AA0AA0AA0AA0AA0AA\ 5AFAAKFFPKKUPPZUUcZZhccmhhrmmwnrumqsjnrdkp_ioVfmRc\ lM`jHZiDWg8Tf4Rd4Pc4Oa4M`4L_4JY4IX4GV4FU4DT4CR4AQ4\ 9P48W8JbBTiEcoHmmKmkMmjOmhQmfSmeUmcWmbYm``mZbmYdmW\ fmUhmTjmRlmQnmOkkNijMgiLdhKbgJ`fIYeHWdGUcFRbEPaDN`\ CK_BIZAGY9EXDEYHEZLEZPE_TE`XE``EadEbhEblEcpEdtEdta\ VtyLqvMosMmpMkmMijMfgMddMbaN`ZNZWNWTNUQNSNNQKNOHNQ\ LMSOLURKWUJYXIZ_I`cHbfGdiFflEhoDirDfpGcnJamMZkPXiS\ UhUSfXPe_McbKaeH`gFZjCXmAWp7Us5Tu6St6Ss6Sr6Rq6Rp6R\ p7Qo7Qn7Qm7Pl7Pk7PkCUlHZlMbmRgmWln`pnOH8KEHGCQD9Y9\ 7f65n88l9BkAEjBHiCJgDMfEPeFSdGUcIWaJX`KY_LZZN_XO`W\ PaVQbUScSTdRUeQVfPWgOUfRSfUQeXOe_MdbKdeIdhGckEcnCb\ qAbt9bwC`vF_uIYtKXsNWrQWrSWqVWpYXo__nbbneemghljkkm\ njoqjmt_kwPnzFrzQwz`yzFzzLzzPzzfzzezzczzbzzazzbzzc\ zzezzfzzhzzizz`zzSzzJzzAzzRzzfzzgzzhzzizzezzizzjzz\ kzzVzzczzmzzlzzlzzlzzQzzJ } END PARAMETER FILE=========================================

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FOTD 06-11-04 (Magnebrot [6.5])
by Jim Muth 06 Nov '04

06 Nov '04

FOTD -- November 06, 2004 (Rating 6.5) Fractal visionaries and enthusiasts: Today, we reach the last of the magnet formulas, the magnet2m formula. The image for today is perhaps the best to be derived from the magnet formulas. The scene is located in the center of a valley of its parent, which is a fractal filled with valleys. I named the image "Magnebrot" as a description. A rating of a 7 would reflect the effort I put into coloring the original image. But there is a problem. The colors are optimized for the monitor on which they were created. Unfortunately, every one of my 5 computer monitors displays a slightly differently colored image, and I assume the situation is even worse out there on the monitors in the broad expanse of fractal land. The effect I originally achieved is visible on only the original monitor. On machines other than the one on which the image was created, the rating can be only a 6. As a result, the final rating is 6-1/2. The render time of 2-1/3 minutes results in an overall worth of 273. The completed GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Brisk winds and a temperature of 54F 12C here at Fractal Central kept the fractal cats subdued on Friday. They spent only 20 minutes in the yard before jumping onto the window sill asking to be let in. The standard treat of tuna eased their displea- sure. Today is starting sunny, less windy, and milder. This bodes well for the fractal duo. For me it means no excuses. The fractal yard is deep in fallen leaves and the hints that I should clear them away are very strong. But nevertheless, I will find time for a fractal. Tomorrow's formula is the 'mandel'. The fractal should be easy to find. Until then, take a lot of care, and care what you take. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Magnebrot { ; time=0:02:23.08--SF5 on a P200 reset=2003 type=magnet2m passes=1 center-mag=+1.21\ 529631039849/+0.1998283502301844/3.009973e+011/1/1\ 07.5/0.0107327033347 params=0/0 float=y maxiter=750 bailout=900 inside=0 logmap=82 periodicity=10 colors=000KMUJPWJSXJVYJYZJ`_Jc`JfbJicKldNoeQrfTsgW\ sfZrfaqfcpeeoeeneemeekdeidegdeececceacwkgthipekmcl\ iamf_ncYoaWp`UqZSrXQsVOtTMuRKvPIwOGxNHvNIuMIsMJrLJ\ pLKoKLmKLlJMjJMiINgINfKdiLukKtiJtgIteHtcGtbFt`EtZD\ tXCtWW_cnFhjGmgGrdGwaHzZHzVHzSHzPIzMIzJIzFIzCJz9Jz\ 6Jz3JzunormjplfnlalkYijTgjPeiKchGahCZgDXgDVgETgERg\ EPgFNgFLgGJgGHgGFgHDgHBgHCfICfIDfIDfJEfJEfKFfNFfQF\ eTGeWGeZHebHeeIehIekIenLcqOatQ_wTYzWXzYVz`TzcRzePz\ hOzkMzmKzpIzsGzuFzqHzmIzjKzfLzbNz_OzSGzL8zE1zG3zI4\ zK5zM6zO7zP8zR9zTAzVCzXDzYEz_FzaGzcHzeIwfJveNseQqe\ UneXle_jecgefeejbem`epZboX_nVYmUVmSTlRQkPOkOLjMJiL\ GiJEhIBgG9gFEjEJlDOnCTpBXrBZoD`lFajGcgIedKfbLhaNjb\ PkcQmdSoeUpfVqgTqhSriQrkPsmNsoMtqKtsJuuHuvGvwEvxDw\ yBwzAxz8xz7yzCyzHzzLzzQzzUzzZzzbzzgzzkzzpzztzzozzj\ zzezz`zzWzzRzzMzzHzzCzz8zzgzzazzWzzQzzKzzEzz8zzBzz\ EzzHzzJzzMzzPzzSzzUzzYzzW } END PARAMETER FILE=========================================

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FOTD 05-11-04 (Iterative Fragments [3])
by Jim Muth 05 Nov '04

05 Nov '04

FOTD -- November 05, 2004 (Rating 3) Fractal visionaries and enthusiasts: Today's image takes us on in our tour of Fractint to the 'magnet2j' formula, certainly the most complex formula in the program. Like the other magnet formulas, it has something to do with temperature and magnetized materials, but I have no idea of the details. Unfortunately, I did not find much excitement in this formula. I finally decided on an image that is more an unsuccessful study of coloring than a noteworthy fractal. I named the picture "Iterative Fragments" for no special reason. I am not sure why the formula was so un-productive. Maybe I simply failed to find the great fractal scenes that lie in it. Looking at the image reminds me of standing near the edge of a cliff, with fragments of fractal something floating in the air at the edge of the cliff, blocking out part of the infinite sky beyond. From the colors of the objects I would guess they are partly translucent, for a bit of the background light seems to be filtering through. My description sounds interesting, but being a realist, I could rate the image no higher than a 3. It is a fast one however, and its speed gives it an overall worth of 240. For tomorrow's FOTD I'll tackle the Mandelbrot version of the same complex formula. I might be able to find something better there. Today's less-than-excellent image may be found posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> It rained steadily all day Thursday here at good old Fractal Central, and the temperature hovered around 45F 7C, leaving the fractal cats with nothing to do but sit sulking on their window shelf, watching the rain and studying the occasional waterlogged squirrel. Only an extra treat of tuna in mid-afternoon kept them from becoming totally miserable. This morning has dawned sunny, but the wind is up, and cats of the fractal persuasion do not like high wind. We shall see how their day goes. For me it's work before fractals. Things are getting back to normal. Fractal Lady is still a bit testy, but not as testy as she was yesterday. It looks like an acceptable day coming. Regardless of what happens, I'll have the next fractal ready by the time today ends, and I'll post it tomorrow at the same time. Until then, take care, and when the Julia side of things looks bad, check the Mandelbrot side. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= IterativeFragments { ; time=0:01:14.73--SF5 on a P200 reset=2003 type=magnet2j center-mag=+5.47103490849\ 833700/-1.572646755529751/12169.71/1/-170/3.430677\ 33943325237e-010 params=0.1438184668138492/0.99739\ 04210490822 float=y maxiter=1000 bailout=3300 inside=bof60 symmetry=none periodicity=none colors=000fZck`bmmwmgooiolfkichfaedZbaW_ZUXXRUUPRR\ MOPJLUHIQHFSOHUQFWSKWUPXWUYZZYacZdhagmhjrqmwvpzzsz\ zvzyvzyvzyvzyvzyvzyvzyvzyvzyvzyvzyvzyvzyvzyvzyvzyv\ zdfCfgDhhFjiGkjImkJokKqlMsmNtnPvoQxpSzqTzqUynXwkZu\ h`tecrbep_goXimUlkRniOphLsfIudFwcDybFxaGwaHv`Iv_Ju\ _LtZMsYNsYOrXPqWRpWSpVToUUnUVnXTm_SmaQldPlgNliMklK\ koJjqHjtGjwEiyDizBhzAhz9hzAgzBgyBgwCgtDfrDfoEfmFfj\ FehGeeHecHedLaePZfTVgXSdTXbPa_LfYIjVEoTAtR7xTAuVCr\ WFoYHl_Ji`MfbOcdRaeTZgVWiYTj_QlbNndKofIlgJigKggLdg\ MbhN_hOYhPVhQThRRgUQfWPeYOd`NcbMbdLbgKaiJ`kI_nHZpG\ YrFYtnlpMknOhjQfgSddTbaV_ZXYWYWS_UPaRMbPJdNGfLDgJA\ lG9pE8uC8yA7z87a89Z98W98T98RA8OA8LA7JB7GB7DB7BB7AE\ D9GJ9IO8LU7N_7PdifGMJWOLZPMaQNdRPgSQjTRmUTpVUsWVv`\ ZmdbeifYmiQrmIvqAzt2xq6voAtmErkHpiLngPldSjbWh`_fZb\ dXfbVj`TmdQigNejLamIYpFVsDRvANy7Jz5Gu8KoANhCRbEUWH\ XQJ`JLcDNfIPeNReSTdXVdaXc } END PARAMETER FILE=========================================

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FOTD 04-11-04 (Lime Green [4])
by Jim Muth 04 Nov '04

04 Nov '04

FOTD -- November 04, 2004 (Rating 4) Fractal visionaries and enthusiasts: Things have been a bit un-smooth here at Fractal Central for the past day or so. The fractal cats are well enough, but the fractal lady has been sullen ever since her candidate lost the election. Last evening I told her to save the left-over loser's bumper stickers because the stickers might become valuable in the future. I was only joking, but she became very irate with me, and since then conditions here at F.C. have not been very conducive to finding great or even average fractals. But despite the sulking and bickering I managed to find a fractal in the magnet1m formula. This formula is the Mandelbrot version of the magnet1j formula, and it draws similar images filled with bits and pieces of Mandelbrot sets and midgets rather than with Julia sets. The scene I chose to explore lies in one of the main valleys of the parent fractal. At the center lies the familiar Mandelbrot midget. The name "Lime Green" refers to the color of the prominent elements surrounding the midget. The rating of a 4 indicates that I put little effort into the image. Due to the brief 2-1/2 minute render time, the overall worth of 157 is exaggerated. The final result can be accessed at the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> There was just enough sun on Wednesday, and, with a high of 59F 15C, just enough warmth to keep the fractal cats moods bearable. They went out at noon and were in by 3pm. They spent the three hours sleeping and chasing moving patches of sunlight. This morning is rainy, so the cats will not be happy this afternoon. I fear extra tuna will be needed. For me it's work before fun. The next FOTD image will appear at this same time tomorrow at this same place. Until then, take extra care when you're in the doghouse with fractal cats. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Lime_Green { ; time=0:02:32.63--SF5 on a P200 reset=2003 type=magnet1m passes=1 center-mag=+1.188052370213322/+0.000002836145359\ 49/1.377659e+008/1/-115/4.31863653699293693e-007 params=0/0 float=y maxiter=1500 bailout=9 inside=0 outside=summ symmetry=none periodicity=10 colors=000I9aQ9bY9be9bl9bnAepAhrAjtBmvBpwBr`XXFrBK\ kHOeMTZRXTWaM`eGeiAjKdWM__NVbOReQMhRIkSDnT9qIOiGNg\ FMfDLeCKdAJb9Ia7H`6G_CI4BN5AR69V69_78c77g87k86h95f\ A4cB4aB3_C2XD1VE1TE5QF9NFDKFGHFKEGOBGS8GV5GUAHTFIS\ KJRPKQULQZMOVONSPLOQKLRIHTHEUFAVE7WCCYBH_AMa9Rc8We\ 7_gbXEQbSDhe0ms4F1IRGWaUhlgf`YeQOcFEb45iFHpQTv_ctR\ pmhRmz2hr7ckBZdFUYJPRNKKRFDVA9_W6dk3iz0nv8esFYpMQm\ UIj`Agg2hcAh`IhYQhUYhRehOlniJnjJnjJnkKnkKnlKdF8Z86\ U14Z5Gb9RfDajHlnLwlJqjHlhFgfDbeCYkI`pObuUdhT6jS8kS\ 9mRAnRBjY9fd7bk5Zr3Wk9UeFR_LPUQMOWKIaICfGIeFNeESeC\ NjBJnHIhMIbNOXOURPZLQdFRj9So4XmDakLfiTkgapeiucqsgm\ qkione0Rf4Hemd3YeLVOeT6zW6uY6q_6lb6hd6cf6_dISbTL`c\ EZn7Xy0`q5cjAgcFjXKnQPqJUtCYlI`eObZUeS_gLejEkl7qo0\ wq3rk6mf8haBcXDZSGUNIQIaeEttAqkGnbMlUSiLYgCciJSjON\ jTIkXDka8ke3d`3ZX3TT3NP3HL3BH3CQGCZTDgeDpqOdhZT_iH\ Rs5IkBHdHHXNGQTGIZFePFUHR } END PARAMETER FILE=========================================

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Happy holidays fractal found at DeviantArt.com
by david 04 Nov '04

04 Nov '04

A fractal my daughter found at DeviantArt.com: http://www.deviantart.com/view/1020385/ -- David gnome(a)hawaii.rr.com

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FOTD 03-11-04 (Ruby Red [6])
by Jim Muth 03 Nov '04

03 Nov '04

FOTD -- November 03, 2004 (Rating 6) Fractal visionaries and enthusiasts: After being up almost all night watching election returns, I find myself a bit logy this morning, but still with enough energy to post the traditional FOTD. (Yes, the FOTD can almost be called traditional. In April of 1997 when I posted the first FOTD, if anyone had told me that I would still be as enthusiastic in November of 2004, 7-1/2 years later, I would have laughed.) Today, we continue our tour of the Fractint formulas. Moving past an interesting series of orbit-type formulas, we reach the first of the 'Magnet'-type formulas. I know little about these formulas, though it appears they were derived from the behavior of magnetic materials rather than being written for the purpose of creating fractals. I would assume they only coincidentally create interesting fractals. I created today's fractal image using the magnet1j formula. This formula is quite complex, and I have no idea of what it tells us about magnetic material, but it makes attractive fractals, one of which appears as today's FOTD. I named the image "Ruby-Red" for its strong ruby-colored elements, though its most impressive feature may be the green, filled-in midget Julia set at the center. Other Julia sets of a similar shape are scattered throughout the image. Curiously, these other sets are open on the inside. To add interest to an otherwise routine image, I rendered it with the outside set to 'real'. It is this option that causes the battlement shape so obvious in the bands in the ruby areas. I rated the image at a 6, perhaps a bit liberally. The render time is a fast 2-1/3 minutes, which gives an overall worth of 253. The fastest way of all to see the action of the magnetic materials is to download the completed GIF file from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather turned surprisingly pleasant here at Fractal Central on Tuesday. The dynamic fractal cats had a great day in the yard, where they slept early and slept often. The temperature of 70F 21C was perfect. Today is starting with more clouds, but a little blue sky is showing. Only time will tell what kind of day the duo will have. For me, it will be another average day. The commercial work is still caught up, meaning the fractals will continue coming on schedule. The next one will arrive in 24 hours. Until then, take care, and keep your chin up. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Ruby-Red { ; time=0:02:22.53--SF5 on a P200 reset=2003 type=magnet1j center-mag=-0.67118/1.252\ 61/1.449612/1/-90/3.88578058618804789e-016 passes=1 params=2.079812206572769/1.677557411273484 float=y maxiter=2500 bailout=100 inside=0 outside=real logmap=-3 symmetry=none periodicity=0 colors=000bcaVjaRmYOpV`Rdl2nj4gh6af8WrAQmCKhEEcG8Z\ ICWKFTMINNLIPOFRRCSUMUZWVceWhaZkZ`mWboTdqPfsMhuJjw\ GlyOpvVstavr_itYXuWKvV7woPGpOHpOIpOJpNKpNLqNMqNNqM\ OqMPqMQqMRnPTlSVjVXhYZf``dcbafd_ifYlhWojUrlSunQwoz\ Wbu_XpcSkgNgjHbnCYr7Uu2VrEWpPXn`XlkVmiUmhTmfSneRnd\ PnbOnaNo`MoZLoYKoXLkVMgTNdSO`QPXOQUNRQLSMJTJIUFGVC\ FPNKKYOEhT9rXDsYGsZJs_Ns`QsaTtbXtc_tcbtdfteiuflugp\ uhsuivuitvjrvjqvjovjmvjlvjjwkhwkgwkewkcwkbwk`7U_QA\ bSJeTShU`kVheUj`UlWUnRTpLTrGTtBSv6Sx1SzCSFBWJAZN9a\ Q8eU8hX7k`6od5rg4uk4xn5wi6ve6va7uY8uU8rA9qAApAAoAB\ nACmAClABkAAjAAiD9hH8gL8fO7eS7dV6`Z5Kz5Hz4Ez4BzAEz\ FGzKIzPKzVMz_OzdQziSznUzjSzgRzdQzaGzdIzfKzhMzjNzmP\ zoRzqTzsUzpPzmKzkFzhAze5zc0zMQz4ozWtzTqzRozOjzLezI\ `zFWzDRzCVzBZzAaz9ez8hz7lz6ozDnzKmzQlzXkzcjziizjcz\ kYzkSzlNzlHzmBzm6ziBzeFzaJzZNzVRzRVzNZzKbzR_zXXzcV\ ziSzpPzvNzkXz`ezZbzY`zXZz } END PARAMETER FILE=========================================

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FOTD 02-11-04 (Fractal Sandstorm [5])
by Jim Muth 02 Nov '04

02 Nov '04

FOTD -- November 02, 2004 (Rating 5) Fractal visionaries and enthusiasts: Today's fractal was calculated by the next formula in line, the 'lambdafn' formula, which is another formula that one must become familiar with before its maximum potential can be realized. I worked with the formula less than an hour, so it is questionable whether the formula's maximum potential actually has been realized in today's image. My opinion is that nothing out of the ordinary has been achieved, and I rated the image at at an average 5 accordingly. The render time of 22 seconds raises the overall worth to a shocking 1351. The image looks exactly like the sun as seen through a fractal desert sandstorm, and that is what I named it. The 'recip' function is responsible for the grittiness that fills the frame, though I am responsible for the wan color of the sun feebly shining through the dust and sand in the upper left corner. The swirling sand clouds are truly fractal. This airborne sand maintains its totally random appearance, with occasional false hints of a pattern, all the way down to the limit of resolution. This might be the actual nature of the formula or it might be due to a quirk in the math routine. Whatever it is, the result is striking enough to earn the status of FOTD for today. To see the sandstorm, put on your goggles and run the included parameter file. It runs in a lightning-fast 22 seconds. Or forget the goggles and download the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Monday was another near-perfect day here at Fractal Central, with lots of sun and an afternoon temperature of 66F 19C. The cat duo enjoyed it to the fullest, and when the time arrived to return, they came in without complaint to enjoy their supper of tuna and turkey. Today is again starting sunny, but rain is in the forecast. Hopefully, the rain will hold off until the duo has enjoyed another pleasant day in the fractal yard. For me it looks like another day -- vote, work, then on to the fractals. The best fractal I find will appear as tomorrow's FOTD. Until then, take care, and regardless of the outcome, we will all win. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Sandstorm { ; time=0:00:22.19--SF6 on a P200 reset=2003 type=lambdafn function=recip passes=1 center-mag=8.07451/-7.24725/0.08046668 params=1/0.4 float=y maxiter=255 bailout=900 inside=bof61 symmetry=none periodicity=10 colors=000hQNcZzzmmzm`zz_kzZzzZczfzzmzzhzzdzz`zzXz\ zTzzXzz_zzbzzezzlzzszzuzzwzz3zz7zzAzz9zz8zz8zz7zz6\ zz6U1dQf4Pd8ObCN`GMZKX`_SVdOPhJJmFEqDKnBQkAWi8af7g\ d5ma4r_8hcCZfGPjJFmMJnONoRRoTVpVZpX`hYaaZbU_dN`eFa\ f8bg1`dBZbLX`UVZcTXmSVvQXpOZk8jbIlaSm``o`jp_sq_XJK\ ZLJ`MIbNHdPHfQGhRFjSFcQOXOXQMdJKmCJuILpOMlUNg_OcdP\ _bSbaVe`YhedcjkZorUtxQjwR`vSRvTHuU8uU9kZAacBThCJmD\ AqSDkeGffEcfDafCZfBXgAVg9Sg8Qg7OjLVmYapkhrxoqwkqvh\ qudquaptZpsVprSprPqkTrdXrZ`sSdsMhtFlt9poOkkbfgqb`l\ cVhdOdeI_fBWg5Sh7Ni8IjADjB8kC4kYHTrTAgdEYoIaoNeoSh\ RPj2M4rMAfUFWaKLhDYZ7jP1vF2k`3au5Yl7Ud9RXBNPDKHNJM\ XIQeHUoGYxFaXofUhhSaiPVjNOlKHmIAnG3oLFhQQaVaV_lOcw\ HbtLaqPanT`kX`i_chefgjhfoketmeyihuejqammZoiVreRtaN\ wYKyUZlVl_WvGTmKUeNUYQUPUUHXU9_UDWXHSZKP`OLbRIdVEf\ YBh`CgcDgfEgiFflGfoHfqHfnKekMehOdeQdbSdmWlxZsuYisY\ _qYQoYGmY7jveiudiuchubhua } END PARAMETER FILE=========================================

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FOTD 01-11-04 (Lambda Land [7])
by Jim Muth 01 Nov '04

01 Nov '04

FOTD -- November 01, 2004 (Rating 7) Fractal visionaries and enthusiasts: The days when I received 3 or 4-hundred spam e-mails a day have been gone for a while. I have been using Earthlink's spam- blocker for about a year. But some of the stuff (10 to 20 per day) still gets through, and sometimes this trickle is good for a laugh. I couldn't help but laughing this morning when I saw a letter with a subject line that told me something I had never imagined. The line read: 'You can live and work in the USA'. When I stopped laughing, I wondered why anyone would want to come to a country where the politicians who run it are forever telling us how bad the conditions are. Luckily, today's fractal is a lot better than the state of the USA. It rates a 7. This combines with the render time of well under three minutes to give an overall worth of 259. I named the picture "Lambda Land". Why not? It certainly is a scene in the land of Lambda. The image was created by Fractint's lambda(fn||fn) formula. This formula is tricky. It is rather hard to get it to do interesting things, but as today's image shows, it has great potential. I had worked with it for nearly an hour, trying different functions and shift values, and had found nothing even close to being good enough for a FOTD. Then, with the functions set to atanh/sin, and a mostly blank screen before me, I set the inside fill to bof61 and actually lowered the maxiter. I fin- ished the image by setting the small area of 'outside' stuff to 'tdis'. The result is today's image with its cheerio-like rings and flashy colors. Almost all of the image consists of 'inside' stuff. Most of the other inside fills work nearly as well with this strange image that tries to hide its potential. The color palette could perhaps use a bit more green, but I enjoy reds, blues, and purples. The orangish highlights add just enough interest to raise the image to its rating of 7. Today's FOTD may be seen by running the included parameter file or by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Sunday turned into the best day in several weeks here at Fractal Central. The warm sun and temperature of 77F 25C were just what the fractal cats needed to chase away the cat blues. They spent the entire afternoon in the yard, mostly sitting and watching, but leaping up to chase an occasional falling leaf. The day ended with the duo enjoying their evening meal. This morning is starting with sun and cooler temperatures -- conditions that can be found acceptable by dignified fractal cats. My day was not quite as good as the cats'. The trick-or-treat goblins were quite active around sundown, but all-in-all it was a satisfactory day. Today it's back to work and then back to fractals, the next of which will appear in 24 hours. Until then, take care, and don't drown in the functions. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Lambda_Land { ; time=0:02:42.14--SF5 on a P200 reset=2003 type=lambda(fn||fn) function=atanh/sin passes=1 center-mag=-3.14049/-0.00159595/0.6446387 params=1/0.1/0.55 float=y maxiter=75 bailout=900 inside=bof61 outside=tdis periodicity=10 colors=000z`iz_iz_ky_kzZlv_ltWmsPmoUolYpkbqggshmtm\ rvrwwwywvwvtutrsrpqpgpofmmbllejthgwehknbqt`mtmkwmh\ zmcziZzfUzaPzYKzUFzPAzM5zKBzKHzIM`I`SIVWH_aHcfHhlF\ mqFqvDvzDzzDzzBzzBzzBzzDzzDzwDzpDviDq`DlUDhMDaBDY2\ DS0DN0FP2HP8HPBIPHIQKKQPKQSMQVMQYIP`HNaFMeDMfBK000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 0000000000000000000000000 } END PARAMETER FILE=========================================

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FOTD 31-10-04 (Lambda [4])
by Jim Muth 31 Oct '04

31 Oct '04

FOTD -- October 31, 2004 (Rating 4) Fractal visionaries and enthusiasts: Today's fractal image was created using the lambda formula of Fractint, a formula that draws Julia sets. In this formula, Z is initialized as Z(pixel) and the iterated expression multiplies Z by a user-defined value (lambda), then multiplies the product by (1-Z). The result is a variety of Julia sets not too different from the standard Z^2+C sets. For today's image I chose an entire Julia set that closely resembles the Julia sets associated with East Valley of the M-set. The resemblance is not exact however, for today's image contains elements that join together in ways not seen in the classic Julia sets. Not too enthused with the images I was able to wring from this formula, I cut my search rather short and settled on a fractal that has little in it that has not been seen many times before. I put a modicum of effort into coloring the image, finally deciding on the greyish-blue theme with greenish highlights, areas of vague pink, and a brilliant white filling the deep basins. I named the final product "Lambda". When rating time arrived, I could find nothing in the image worth more than a 4, so a 4 is what I rated it. Luckily, the render time is quite short, so the overall worth rates an inflated 823. (I must adjust the way I calculate the overall worth. The way it is now, far too much weight is put on the render time.) The completed image is available on the internet at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A heavy overcast and a temperature of 64F 18C made Saturday afternoon less than ideal here at Fractal Central. The cats disapproved of the lack of warm sun, and showed their displeasure by adopting their sulk attitudes. They did not lighten up until they were served warmed tuna and turkey. Today is starting with enough blue sky, but the wind is up, and fractal cats do not like wind, which hides the sound of approaching danger. It remains to be seen how they will adapt. I expect to adapt to the conditions just fine. The next fractal is already in the bag, and will be released in only 24 hours. Until then, take care, and be inquisitive. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Lambda { ; time=0:00:29.16--SF5 on a P200 reset=2003 type=lambda passes=1 center-mag=0.501552/-0.00279177/1.173709/1/-77.5/\ -2.5056345887009e-014 params=1.018779342723005/0.2\ 192066805845511 float=y maxiter=1000 bailout=1600 inside=255 logmap=yes periodicity=10 colors=000cjzTjzVjzXjzYjz_jzajzbjzdjzejzfjzgjzhjzi\ jzjjzkjzljzmjznjzojzpjzqjzrjzsjzsizqhzogzmfykexidw\ gcvebucaua`t__sYZtWYsUXqSWoQVmOUlQTjUSi`SggQflOdpM\ cuKazM`zSZzZYudVpjSkoQfsOarMXqKXpI_oGZnE`lCajAahB`\ fB`dB_bC_`E_ZGZXIZVKYTMYTOYSQXRSXRUWQWWQYVP_VPaVOc\ UOeUNgTMiTMkSLmSLoSKsRKuRJwQJyQIzZ7yY8wY8vY9tX9sX9\ rXApWAoWAnWBlWBkVBjVChVCgUCfUDdUDcUEaTE`TE_TFYSFXS\ FWSGUSGTRGSRHQRHPQHOQIMQILbcdabcaab`ab``a``a__`_Z`\ _Z_ZY_ZYZZXYYXYYWXYVXXVWXUWXUVWTVWTUWSTVRTVRSVQSUQ\ RUPRUOQTOQTNPTNOSMOSMNSLNRKMRKMRJLQJLQIKUiJTgKTeKT\ cKSaKS_KSYKSWKRUKRSKRQKQOKQMKQKKsKNrJMqJMpJMoJMnJM\ mJMlJMkJMjJMiJMhJLgJLfJLeJLdJLdJLcILbILaIL`IL_ILZI\ KYIKXIKWIKVIKUIKuQNuTMtWKtZJtaItdGsgFsjDsmCspBoqDl\ qFirHfrJbrL_sNXsPUsQZvXbxbgzikzomzqozsqzuszwuzywzz\ yzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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FOTD 30-10-04 (Multiplication of the Fractals [6.5])
by Jim Muth 30 Oct '04

30 Oct '04

FOTD -- October 30, 2004 (Rating 6.5) Fractal visionaries and enthusiasts: After yesterday's stupendous (IMO) fractal, today's image can hardly avoid being a come-down. But a rating of 6.5 is not to be sneezed at, (unless one is allergic to fractals, that is). The formula behind the image is the julzzpwr, which raises Z to the power of the previous Z then mixes it with another arbitrary power of Z before adding C. The fractals it produces are not the best of all time, but as today's image shows, they can be quite interesting. I have named the image "Multiplication" for short. The full name is "Multiplication of the Fractals", but this is too long to fit in the name box, which has a limit of 18-characters, so a simple "Multiplication" will have to do. The frame is filled with a multitude of similar but not identical fractal objects spread evenly across the scene, the background of which blends from a purplish tone at the bottom to a deep sky-blue at the top. It could be considered a fractal snow shower or perhaps a flight of fractal birds taking off into space. The image immediately reminded me of a painting named "Golconde" by the surrealist artist René Magritte, in which a shower of men standing at attention in overcoats and bowler hats is descending over the roof of a city building. The image also reminds me of many pictures by Escher, but the Magritte picture is the first one that came to mind. As the rating of 6.5 indicates, I consider the image better than a 6 but not good enough for a 7. The render time is short how- ever, and this raises the overall worth to a 246. The wallpaper-like image may be seen by running the included par- ameter file or by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Either choice will take about the same time. The Friday weather was foggy and misty here at Fractal Central -- not really wet, but not dry either. And the temperature never made it above 59F 15C. The fractal cats accepted the conditions as they saw them, spending just over an hour on the porch and venturing down into the yard only briefly. Their moods were acceptable also. Maybe the dynamic duo is mellowing in its old age. Today is starting foggy and misty -- almost a repeat of yesterday. I have faith that the aging fractal cats will again be satisfied. I myself will remain satisfied as long as I keep the other work up to date, which I have been doing rather well for almost two months now. The next FOTD fractal is already finished, and waiting to make its appearance in 24 hours. Until then, take care, and iterate in peace. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Multiplication { ; time=0:02:38.52--SF5 on a P200 reset=2003 type=julzzpwr passes=1 center-mag=-14.0344/-9.18759/0.5259148/1/107.5/2.5\ 833502004247e-014 params=0.3341/0.4841/1.96 float=y maxiter=10000 bailout=1600 inside=255 logmap=35 symmetry=none periodicity=10 colors=0005hw5hw5iw6iw6iw6jw6jw6kw6kw7kw7lw7lw7mw7\ mw7mwB`wBYwBKwCKwCKwCKwCMwEOwFQwGUwIWzJYzK_zMayNcy\ OeyQgwRiySjzUkyVmzWozYqzZrw_tx`uyetzhrzjpznnzqmwtk\ rpimfghfecgdZhbUh`UiZUjYUlWUnUUpSUrQUtPUvNUxLUzJUw\ IUrJUmKUiKUhLUfLUdMUcMUaNU_NUZOUXPUVPUTQUSQUQRUORU\ NSULSUJTUITUKQULOUMLUNJUOGUPEUQBUR9USEUSIUTMUTRU00\ 0000000000VklVolWnmWnnWnoXnpXnqXnrYnsYntYmuYmvZmwZ\ mxZmy_mz_mz_mz_lz`lz`lz`lzalzalzalzalzbhzcezcavdZq\ eVleShfRjgQkgPmhOniOpiNqjMrkLtkLulKwmJxmIynIzoHzoG\ zpFzpFzoHzoJzoLzoNzoPzoQzoSzoUzoWyoYxo_xo`wobvodvo\ fuohtojsoksomrooqoqqospouoovopuppuqqurqusqusrutruu\ suvsuwsuwttxttyutzutzutzvtzvtzwtzwtzwtztszrszprzmr\ zkrziqzfqzdqzbpz_pzYozWozTozRnzPnzMnzKmzImzFlzDlzB\ lz8kz6kz4kz7gz9czC_zEWzHTzJPzMLzOHzQEzRHzRKzRMwRPt\ SRpSUlSWiSZeT`aTcZTeVThRTjOWfPYcQ_`RbXSdUSfRTiNUkK\ VmHVpDWrAXt7Yv4Y4fz5gy5gy } END PARAMETER FILE=========================================

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FOTD 29-10-04 (A Tree in Spring [9.5])
by Jim Muth 29 Oct '04

29 Oct '04

FOTD -- October 29, 2004 (Rating 9.5) Fractal visionaries and enthusiasts: For today's FOTD we move on to the julzpower formula of Frac- tint, where we find the second-highest-rated FOTD image of all time. The formula is one of the simplest in the program, drawing the Julia sets that result when Z is raised to any power and C is added. The power I chose for today's image is 1.5, the value that I find creates the most interesting fractals in the exponent range between 1 and 2. It is said that fractals are everywhere. This is likely true, but hardly anywhere are they more obvious than in the fractal structure of trees. As today's image shows, the formula that creates trees may be surprisingly simple -- no more complicated than Z^(1.5)+C. Very early in my fractal adventures I discovered a family of fractal trees, one of which is illustrated in today's image. Several close relatives of today's tree have already appeared in one of the earliest of the FOTD images, the image that was named "Snaketree". It may be debatable whether today's unusually simple image is worth the 9.5 rating that I gave it. It certainly is a striking image, leaving no doubt of why I named it "A Tree in Spring". I spent much more time coloring the image than I did in finding it. In fact, I added the extra half-point to the rating because of the extra effort I put into the color palette. When the brief render time of under 2 minutes is considered, the overall worth registers an impressive 546. This is not the high- est overall worth of all time, but the ridiculously higher worths were achieved because of very brief render times rather than image quality. The image may be enjoyed by running the included parameter file, or by downloading the completed GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Thursday proved to be the best day of the week here at Fractal Central. The warm sun and temperature of 61F 16C brought out the best in the cats, who passed the afternoon in the depths of the holly thicket, feeling like prowling tigers. Nothing special was needed to end the day happily. But this morning has dawned cloudy, and the cats could be less happy by the time evening arrives. The work is still caught up and the supply of fractals is no- where near being exhausted. Be sure not to miss the next one, which will appear in 24 hours. It might not be as good as today's, but it will be worth seeing. Until then, take care, and which order of infinity is the set of all possible fractals? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Tree_in_Spring { ; time=0:01:44.36--SF5 on a P200 reset=2003 type=julzpower center-mag=0.231542/0.53\ 2989/8.035804/0.7601 params=-0.1873/0/1.5/0 float=y maxiter=150 bailout=9 inside=255 logmap=10 passes=t colors=000NitNitNitNitNitNitNitNitNitNitNitNitNitN\ itIitNitNitNitNitNitNitNitNitNitNitNitNitNitNitNit\ NitNitNitNitNitNitNitNitNitNitNitNitNitNitNitNitNi\ tNitNitNitNitNitNitNitNitNitNitNitNitNitNitNitNitN\ itNitNitNitNitNitNitNitNitNitNitNitNitNitNitNitNit\ NitNitNitNitNitNitNitNitNitNitNitNitNitNitNitNitNi\ tNitNitNitbH6bH6aJ4`J2_J2ZJ0XM0UM0RM0OJ0FM08J04J00\ J00M00O02Q00S42U84WBAYFD_JGaMJcPMeSPgVSiYVkaYme`oi\ cqmfsmiumlwmoxmrymuwmxwmzwmzwmSu_SlVSaOSVHSMBSF4S6\ 0S00_62eDBlJJrQSyXazcjzjrzpzzwzzzz0800B00D00F00H00\ J20M40O40Q60S80V80XB0_D0aF0cF0eH0gJ0jJ0lM0nO0nO0jS\ 0eV0a_4XaBSeHOgOJjVFn_Bpe6ul2wr0yy0zz0zz0zz0zz0zz0\ zz2wzDnzQezaXzlOznQzpQzrQzuQzwQzySzySzzSzzSzzSzzVz\ zVzzVzzVyzVyzXwzXwzXuzXuzXuzXrzDpz0pz0uz0wz0zz0zz6\ zzFzzOzzVzzczzlzzrzzzzzzzzzzzzzzwzzlzuc_aXcXVeVSjS\ QlOOpMMrJJwFHyDFzBDz8BNit } END PARAMETER FILE=========================================

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FOTD 28-10-04 (Ultraviolet Julia [no rating])
by Jim Muth 28 Oct '04

28 Oct '04

FOTD -- October 28, 2004 (Rating None) Fractal visionaries and enthusiasts: Today's image was created by the 'julia_inverse' formula -- Zn+1=Zn+-sqrt(Z-C). This formula is one that plots orbits. It is not an escape-time formula, as all the formulas that I have used until now have been, but it draws some quite attractive images, so I have decided to include it in my tour of the Frac- tint escape-time formulae. It is known as the 'inverse' Julia formula because instead of being attracted to infinity or to attractor points within the Julia set, the iterated points are repelled by these attractors, which causes the points to settle along the boundary of the Julia sets. I chose to draw the Julia set of a point in Seahorse Valley, where the border of the set twists into two great spirals. The shape of this set is quite familiar; its appearance in today's image is unique however. The image renders one pixel at a time, and the first few seconds of calculation are quite dull, so do not become disappointed by the slow start. The image does not come to life until it is nearly completed. I named the image "Ultraviolet Julia". When I saw the image, I was reminded of a florescent object glowing brilliant green under the deep violet light of an ultraviolet bulb. Though I gave it no rating, (If I had, the rating would have been around 6.), the finished product is well worth the time spent rendering it. And even this brief time may be bypassed by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> We had more sun than expected here at Fractal Central on Wednes- day. Combined with a temperature of 65F 18C, the sun must have pleased the fractal cats, who actually seemed happy with their time in the yard. Only a small treat of tuna was needed to end their day satisfactorily. My day ended satisfactorily when the clouds broke just enough to give occasional clear views of the progress of the Wednesday evening lunar eclipse. Today looks to be about the same. I would say we are headed for another un- eventful cat day. My day looks to be about the same also, and that means another fractal is in the works. You will not want to miss the next fractal when it appears in 24 hours, for it will rate a 9-1/2, as close to perfection as it is possible for a fractal to come without actually being perfect, (and nothing but the Deity is perfect). Until then, take care, and hold your breath. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Ultraviolet_Julia { ; time=0:05:08.35--SF5 on a P200 reset=2003 type=julia_inverse miim=breadth/right center-mag=-6.66134e-016/5.82867e-016/0.9861933/1/\ -32.5/-2.5056345887009e-014 params=-0.75/0.09/255 float=y maxiter=1200 bailout=9 inside=0 logmap=yes periodicity=10 colors=K0PzzFzzBzz9zz8zz8zz8zz8zz8zz8zz8zz8zz7vz7r\ z7mz7hz7cz7Zz7Uz7Pz7Kz6Fz6Dz6Dz6Dz6Dz6Dz6Ez6Ez6Ez5\ Ez5Fz5Fz5Fz5Fz5Fz5Gz5Gz5Gy4Gy4Gx4Hw4Hw4Hv4Hv4Hu4Iu\ 4It3Is3Is3Ir3Jr3Jq3Jq3Jp3Iq2Jp3Ko3Lo4Mn4Nn4Om5Pl5Q\ l6Rk6Sk6Tj7Ui7Vi7Wh8Xh8Yg9Zf9_f9`eA`eAadBbdBccBdbC\ ebCfaCgaDh`Di_Ej_EkZElZFmYFnXGoXGpWGqWHrVHtUGsVHrV\ HqVIpVIoVJnVJmVKlVKkVLkVLjVMiVMhVNgVNfVOeVOdWPcWPb\ WQbWQaWR`WR_WSZWSYWSXWTWWTVWUUWUUWVTWVSWWRWWQXXPXX\ OXYNXYMXZLXZLX_KX_JX`IX`HXaGXaFXbEXbDXcCXcCXcCXcCX\ cCXcCXcCXcCXcCXcCXcDYcDYcDYcDYcDYcDYbDYbDYbDYbDYbE\ YbEYbEYbEYbEYbEYbEYbEYbEYbEYbCXaDYbDYbEYbEYbEYbFZc\ FZcGZcGZcGZcHZcH_dH_dI_dI_dJ_dJ`eJ`eK`eK`eK`eL`eLa\ fMafMafMafNafNbgNbgObgObgPbgPbgPchQchQchQchRchRdiS\ diSdiSdiTdiTdiTejUejUejVejVejVfkWfkWfkWfkXfkXfkYgl\ YglYglZglZgl`fo_gmZglYgkXgjWgiWghVggUhfTheShdgzSgz\ SgzTgzTgzTazPWzMQzIVAzjAz } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 27-10-04 (Paint Drops [3])
by Vortex Swirling 28 Oct '04

28 Oct '04

I don't know why but I found "Paint Drops" to be extremely good. Not because I'm angry or would try to hurl something that looks like that. I was just totally impressed (once again) of all the images Fractint can make. It would be interesting to see a movie based on this one. --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.783 / Virus Database: 529 - Release Date: 10/25/2004

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FOTD 27-10-04 (Paint Drops 37])
by Jim Muth 27 Oct '04

27 Oct '04

FOTD -- October 27, 2004 (Rating 3) Fractal visionaries and enthusiasts: Today's image moves us on to the 'julia4' formula, which draws the Julia sets created by the formula Z^4+C. I have done little exploring in these Julia sets, mostly because they appear to mirror the more interesting sets created by the standard Z^2+C formula. But there are still some interesting scenes to be found in the Z^4 sets, and today's image, which corresponds to a point very near the shoreline of the main bay of the Z^4 Mandel- brot set, illustrates one of these. The lowly fractal for today is quite a come-down from yester- day's. I named it "Paint Drops", and I offer it more as an opinion than a fractal. The name came to me when, while study- ing the image, I remembered a long-ago visit to the studio of an old artist friend of mine. The artist was of the paint-slinging variety, who felt he could express his anger at the world by slinging his paints at large expensive canvasses. When I saw his latest work in progress, I was more impressed by the pattern created by the paint that had splashed and dripped onto the tarpaulin covering the floor than I was by the image on the canvas on the wall. I suggested that he might produce a better work if he were to exchange the canvasses. My friend failed to appreciate my suggestion. Today's image looks almost exactly like what I saw on the floor of that artist's studio. And it rates only an abysmal 3. (What I saw on his wall would rate a 2.) Wherever he is now, I wonder what he thinks when he sees dumb unconscious computers creating works equalling those that he himself once unintentionally created on the floor of his studio. One good feature of today's computerized art is that it took only 13 minutes to create. I don't know how much time my artist friend spent working on his opuses, but it was certainly more time than my computer took to recreate his accidental by-product. The 13-minute render time raises the rating of a 3 to the quite modest overall worth of 23. And yes, those who suspect that I have little appreciation of some forms of modern 'art' are cor- rect. My comment on the sad state of present-day art can be seen by running the included parameter file or by downloading the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A little bit of sun broke through in mid-afternoon here at Fractal Central on Tuesday, and the temperature reached 63F 17C. When the cats saw the sun, they rushed to be let out. Unfortu- nately, the sun was visible for only 15 minutes, not nearly long enough to make cats of the fractal variety happy. When they came sulking indoors 1/2 hour later, a generous treat of tuna- turkey was needed to bring their moods up to bearability. Today is starting much the same. I expect that the cats will have a similar day. For me, the commercial work is still up to date. This means an uninterrupted flow of fractals. The next one will appear in 24 hours. Until that moment of ecstasy arrives, take care, and where are fractals leading us? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Paint_Drops { ; time=0:13:06.03--SF5 on a P200 reset=2003 type=julia4 passes=1 logmap=62 center-mag=-1.66533e-016/1.66533e-016/4.76586 params=-0.6990978893967172/0.2833827999427266 float=y maxiter=50000 bailout=9 inside=255 outside=summ symmetry=origin periodicity=10 colors=000FsMDtIAtE8tA6t68rA9pEAoICmMDlQEjUFiYIhWL\ gUNgSQfQSfOVeMXeK_dIadGdcEfcCibAkb8jZAiWBhTDhQEkOD\ mMDpKDrJDuHDwFDyEDxFFwGGvGIuHJtHLsIMrJOrJPqKRpKSoL\ UnMVmMXlNYlNZkOXjPViPUhQSgQRfRPeROdSMcSL`UMZWMXYMU\ _MSaMQcNNeNLgNJiNHkNGkMFjLEjKEjJHfNKbQM_TPWWRT_UPb\ WMeZIh`FlcBoe8rh4uj1xg3we5vc7va9u_BuYDtWFtUHsSJrQL\ rONqMPqKRpITpGVoEXnCZnA`m8bm6dl4el9bhD`dHZ`LXXPVTT\ TPYQLaOHeMDiK9mI5qG2nH5lH8iHBgIEdIHbIK`JNYJQWJSTJV\ RKYPK`MKcKLfHLiFLlDLnFNoGOoHQoIRpJTpLUpMVqNXqOYqP_\ rQ`rSarTcsUdsVfsWgtYhtZjt_ku`muanubouapt`ps_psZqrY\ qrYqqXrqWrpVrpUsoTsoTsnStmRtmQtlPulOukOukNvjMvjLvi\ KwiJwhJwhIwhHwiGwiFwjydSyeTyfUxgVxhVxiWwkXwlYwmYvn\ Zvo_vp`vq`unatkashbrfbrcbq`cpZcoWcoTdnQdmOdlLelIek\ GejDfiAfj9gi8fi8fh7fh7fh7fg6eg6eg6ef5ef5ef5de4de4d\ d3dd3dd3cc2cc2cc2cb1cb1bb1ba0ba0ba0bVKYOcTJzQIwPIu\ PHsPHpPHnPRrfOrbMsZKsVHsQ } END PARAMETER FILE=========================================

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Yet another variation of Jim Muth's FOTD Oct 26, '04
by Hal Lane 26 Oct '04

26 Oct '04

########################################################### This fractal is an area near Jim Muth's FOTD Oct 26, '04. The color map is a modification of Damascena Korwen's Leather Gem color map. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START PARAMETER FILE======================================= Iso-Iterations4 { ; Hal Lane Oct 26,'04 1:13 P400 ; 1024x768 Uses the parms from ; Jim Muth's FOTD Oct 26,'04 with ; a variation of Damascena Korwen's ; Leather Gem color map reset=2003 type=julia(fn||fn) function=sqr/tan passes=1 center-mag=-12.5081/0.279694/3.071303/1/-90/-1.23373\ 533611470521e-014 params=0.29/0.01/5.5 float=y maxiter=1200 bailout=9 inside=0 outside=summ logmap=yes periodicity=10 sound=off colors=YD0E`h<3>HgjIikJklKmm<4>Gb`F`ZEYW<3>AQM9OJ8LH\ 7JE6GB5E8<10>EWHFYIGZJ<2>JdMKfNLhM<5>bmDenBhoA<3>ts3\ wt1sr2<5>Zf8Vd9SbA<3>DVF<4>CPCCNBCMA<2>BI9BH8BH8<3>A\ E79D6DE6<3>UI9YJAaLBeMCgODjQF<3>nXFoZGp`GqbGrcGseG<1\ 1>hQ7gP6fO6<3>bI2aH1`F0<2>ZD0YD0WC0<4>R80Q70P70<3>L3\ 0K20J20I10<11>Q81R82S92<3>UB2UB2VC2<3>YE3<3>Q82O61M4\ 1<3>Q71R81S91fM5<3>iO5jP5kQ6<3>dK5bJ5aH5<3>UB3S92Q82\ <3>I10931A00<3>VK0_P0dU0<3>zm0<3>zb0z_0zX0zU0<3>`F0U\ C0O80H40<2>A4773A73C<3>56K47M48O39Q2AS<13>DZf } END PARAMETER FILE========================================= ########################################################### --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.782 / Virus Database: 528 - Release Date: 10/22/04

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Another variation on Jim Muth's FOTD Oct 26, '04
by Hal Lane 26 Oct '04

26 Oct '04

########################################################### This fractal is an area near Jim Muth's FOTD Oct 26, '04. This one is at a lesser magnification than Jim's fractal. The color map is a modification of Damascena Korwen's Leather Gem color map. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START PARAMETER FILE======================================= Iso-Iterations3 { ; Hal Lane Oct 26,'04 0:50 P400 ; 1024x768 ; Jim Muth's FOTD Oct 26,'04 with ; Damascena Korwen's Leather Gem reset=2003 type=julia(fn||fn) function=sqr/tan passes=1 center-mag=-13.4317/0.116107/0.4596364/1/-90/3.88578\ 058618804789e-016 params=0.29/0.01/5.5 float=y maxiter=1200 bailout=9 inside=0 outside=summ logmap=yes periodicity=10 sound=off colors=YD0E`h<3>HgjIikJklKmm<4>Gb`F`ZEYW<3>AQM9OJ8LH\ 7JE6GB5E8<10>EWHFYIGZJ<2>JdMKfNLhM<6>enBhoAkp8<3>wt1\ <6>Zf8Vd9SbA<3>DVF<4>CPCCNBCMA<2>BI9BH8BH8<3>AE79D6D\ E6<3>UI9YJAaLBeMCgODjQF<3>nXFoZGp`GqbGrcGseG<11>hQ7g\ P6fO6<3>bI2aH1`F0<2>ZD0YD0WC0<8>N50M40L30<2>I10I10J2\ 0<13>TA2TA2UB2UB2VC2<3>YE3<3>Q82O61M41<3>Q71R81S91fM\ 5<3>iO5jP5kQ6<7>YE4WD3UB3S92Q82<3>I10931A00<3>VK0_P0\ dU0<3>zm0<3>zb0z_0zX0zU0<3>`F0UC0O80H40<2>A4773A73C<\ 3>56K47M48O39Q2AS<13>DZf } END PARAMETER FILE========================================= ########################################################### --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.782 / Virus Database: 528 - Release Date: 10/22/04

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Variation on Jim Muth's Oct 26, '04 FOTD
by Hal Lane 26 Oct '04

26 Oct '04

########################################################### I was able to bring out some more detail in the four central brain mass-like blobs in Jim Muth's Oct 26,'04 FOTD using a variation of Damascena Korwen's Leather Gem color map. I modified her color map to remove some bright entries which gives it a more muted overall tone. A very nice fractal, Jim. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START PARAMETER FILE======================================= Iso-Iterations2 { ; Hal Lane Oct 26,'04 0:58 P400 ; 1024x768 ; Jim Muth's FOTD Oct 26,'04 with ; Damascena Korwen's Leather Gem ; color map (rotated). reset=2003 type=julia(fn||fn) function=sqr/tan passes=1 center-mag=-2.47062/2.15725/1.468253/1/-90/3.8857805\ 8618804789e-016 params=0.29/0.01/5.5 float=y maxiter=1200 bailout=9 inside=0 outside=summ logmap=yes periodicity=10 sound=off colors=YD0E`h<3>HgjIikJklKmm<8>CURBSOAQM<3>6GB5E86G9\ <9>EWHFYIGZJ<2>JdMKfNLhM<5>bmDenBhoA<3>ts3wt1sr2<5>Z\ f8Vd9SbA<3>DVF<4>CPCCNBCMA<2>BI9BH8BH8<3>AE79D6DE6<3\ >UI9YJAaLBeMCgODjQF<3>nXFoZGp`G<2>seG<15>dL4cK3bI2aH\ 1`F0`F0<5>UA0T90S80R80Q70P60<3>L30K30J20I10I10<16>UB\ 2UB2VC2<3>YE3<3>Q82O61M41<3>Q71R81S91fM5<3>iO5jP5kQ6\ <9>UB3S92Q82<3>I10931A00<3>VK0_P0dU0<3>zm0<3>zb0z_0z\ X0zU0<3>`F0UC0O80H40<2>A4773A73C<3>56K47M48O39Q2AS<1\ 3>DZf } END PARAMETER FILE========================================= ########################################################### --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.782 / Virus Database: 528 - Release Date: 10/22/04

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FOTD 26-10-04 (Iso-Iterations [7])
by Jim Muth 26 Oct '04

26 Oct '04

FOTD -- October 26, 2004 (Rating 7) Fractal visionaries and enthusiasts: For today's image we return for a second go at the julia(fn||fn) formula. I am giving the formula a second chance because I feel that yesterday's below-average image failed to do justice to it. For today's image I began by setting both functions to sqr, a setting that draws the familiar Z^2+C Julia sets. With an 'East Valley' Julia set on the screen, I changed the second function to 'tan' and reset the shift value to 5.5. The result was spectacular -- a fractal with more places of interest than a drop of water has molecules. The Julia set has been surrounded by rings and decorated with all kinds of gingerbread. In addition, spurious bits and pieces of very distorted J-sets have sprung up in the suburbs, where little would normally be expected. I chose a scene in one of these outlying areas, tried the various 'outside' options, chose the 'summ' option, and let the iterations roll. After only 35 seconds of rolling, today's image appeared on the screen. I took around 15 minutes working up a color palette that would bring out the multi-level image that I saw in the scene. The final result is today's Fractal of the Day. The formula undoubtedly has even better images in it, but at least, with today's image and its rating of a 7, I feel that justice has been done, and it is time to move on to the next formula. The very brief render time of 35 seconds results in an overall worth of 1195, and that rating is not to be sneezed at, especially in a time of flu vaccine shortage. I named today's image "Iso-Iterations", which means 'lines of equal iteration. I gave it this name before I set the outside to 'summ', a setting that creates bands in an entirely different manner. The image may be seen by running the included parameter file or by letting Paul run it and downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds hung tough all day Monday here at Fractal Central. The fractal cats hung tough in their bad moods. Even the tuna left them a bit sullen. A lack of sun and a temperature of 57F 14C are not very pleasing to cats of the fractal variety. The clouds appear far less tenacious this morning, with even a few patches of blue showing through. If all goes well, we will have full sun and happy cats by noon. The next FOTD will appear in 24 hours. Until then, take care, and a fractal rating a whopping 9-1/2 will appear in 3 days. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Iso-Iterations { ; time=0:00:35.15--SF5 on a P200 reset=2003 type=julia(fn||fn) function=sqr/tan center-mag=-2.47062/2.15725/1.468253/1/-90/3.88578\ 058618804789e-016 params=0.29/0.01/5.5 float=y maxiter=1200 bailout=9 inside=0 outside=summ logmap=yes passes=1 periodicity=10 colors=000UA0c90cg0Oz0Ux0Zw0Ys0Yo0Xk0Xg0Xc0W_0WW0V\ S0VO0RK0TG0VC0X80ZE0aJAeNKhSUkX_n`eqeftjhwnizskzxl\ zzmzzkwxitvgruepsdnqbkoahnefkhdikbgnafq_ctYawW_zVZ\ zTXzRVzQUzURzXPz_NzbLzeIzhGzkEznCzhEzbGzXHzSJzMLzG\ MzAOz5Pz4Qz4Rz4Sz4Sz4Tz4Uz4Uz3Vz3Wz3Wz3Xz3Yz3Zz3Zz\ 3_z2`z2`z2az2bz2bz2cz2dz2dz4ez5fz6gz8hz9izAizCjzDk\ zElzFmzHnzInzJozLpzMqzNrzOszQszRtzSuzUvzVwzWxzXxzW\ vzWtzWrzWpzWnzWmzWmzWmzWmzWmzWmzWmzWmzWmzWmzWmzWmz\ WmzVmzVmzVmzUmzUmzUmzTmzTmzTmzSmzSmzSmzSmzUmzUmzUm\ zUmzUmzUmzUmzTmzQmzNmzJmzGmzDmz9mz6mz3mz2mz2mz2mz2\ mz2mz1mz1mz1mz1mz1mz1mz0mz0mz0mz0mz0mz0mz3mz6mz8mz\ BmzEmzGmzJmzLmzOmzRmzTmzWmzYmz`mzcmzemzhmzjmzimzhm\ zgmzfmzemzdmzcmzbmzamz`mz_mz_mzZmzYmzXmzWmzVmzUmzT\ mzSmzRmzQmzQmzOmzMmzKmzJmzHmzFmzDmzCmzAmz8mz7mzHmz\ Rmz`mzimzcmzZmzUmzPmzJmzEmz9mz4mz5mz6mz7mz7mzBmzEm\ zHmzKmzNmzRmzUmzXmz_mzbmz } END PARAMETER FILE=========================================

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FOTD 25-10-04 (The Big X [4])
by Jim Muth 25 Oct '04

25 Oct '04

FOTD -- October 25, 2004 (Rating 4) Fractal visionaries and enthusiasts: I almost gave up on the next formula in line, the julia(fn||fn) formula, a formula that uses the value of mod(Zn) to determine which function to apply to Zn+1. I spent nearly an hour trying different functions and different shift values, mostly getting nowhere. I found that when both functions are set to 'sqr', the well-known Z^2+C Julia sets result. It became immediately appar- ent that there could be no interesting function shifts when the two functions are identical. I kept trying different functions until I stumbled upon the 'recip-cos' combination while the shift value was set to 1 and the C parameter was set to 0.28, a point in East Valley of the Mandelbrot set. The resulting image was not great, but at least it was a fractal, so I searched it until I found a scene that barely makes the status of FOTD. That scene is today's image. I named the image "The Big X". When I chose the name, I might have been thinking of the movie 'It's a Mad, Mad, Mad, Mad World', where everyone was running around, looking for money buried under a mysterious 'big W'. The name is not totally un- justified. Some of the feathery elements actually do form a kind of big X on the right side of the image. I could rate the result at only a humble 4. The lowly rating is not the fault of the formula, which certainly has much more potential than I was able to find in it during the 3/4-hour or so that I worked with it. It is a complex formula that takes time to become familiar with. In fact, I am so certain that I have done the formula an injustice that I will use it again as the source of tomorrow's FOTD. Perhaps the best feature of the image is its very brief render time of 1-1/2 minutes, which combines with the rating of 4 to give an overall worth of 266 -- not such a bad value. And the minor task of rendering the image can be dispensed with entirely by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Off and on rain kept things wet and the fractal cats sullen here at Fractal Central on Sunday. The high temperature of 50F 10C helped not a bit. A generous treat of tuna and turkey was needed to make Thomas stop staring me in the eye blaming me for his bad day. Tippy merely hunkered down for a good sulk until the tuna and turkey appeared. This morning is starting cloudy and chilly, but dry. I have hopes for a better day among the cats. The fractals keep coming, and the next one, the second to be created by today's julia(fn||fn) formula, will appear at this same spot in 24 hours. It almost certainly will be a better one. Until that wonderful moment arrives, take care, and fractals not only spring eternal, they winter, summer and fall eternal as well. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Big_X { ; time=0:01:30.36--SF5 on a P200 reset=2003 type=julia(fn||fn) function=recip/cos passes=1 center-mag=-0.19876011638408430/+1.733781\ 852621153/38720.9/1/-60/3.05664410449324464e-010 params=0.28/0/1 float=y maxiter=1200 bailout=6400 inside=0 logmap=36 symmetry=none periodicity=10 colors=000YGK_IKaKKcMKeOKgQKiRKlSKoTKrUKuVKxWKzXKz\ dKzlKzrKzqKzoKzmKzkKziKzgKyeKxcUwacv`muZwtXzsVzrTz\ qRzpPzoNznLzmKzkNziQzgSzfVzdXzb_z`az_dzYfzWizVkzae\ zh_zoUzvOzzJzwLzrMzmOziPzdQz_SzVTzRUzMWzHXzDYzGZzJ\ ZzMZzP_zS_zV_zX`z_`zb`zeazhazkazmbzpbzsbzvczyczzcz\ zczzazz`zyZzwYzvWztVzrTzqSzoQznPzlNzjMziKzgJzfIzdI\ zbIz`IzZIzaLzcNzfPzhRzgSzgTzgUzgVzgWzgXzfYzfZzfZzf\ _zf`zfazebzeczedzeezefzefzfezgezhdzidzjczkczlbzmbz\ nbzoazpazq`zr`zs_zt_zuZzvZzwZzsWzoTzkQzgNzcKzePzgU\ ziZzkdzmdzndzpdzrdztdzvdzwdztdzqdzodzldzidzgdzddzb\ dz_dzXdzVdzSdzPdzNdzKdzIdzKdzMdzOdzQezSezUdzVdzXcz\ Zcz`bzbbzdazeazg`zi`zk_zm_zoZzpZzqYzqYzrXzrXzsXzsW\ ztWztWzuVzuVzvUzvUzwUzwTzxTzxTzySzySzySzxUzwWzvYzu\ _ztazsczrdzqdzpdzodzndzndzmdzldzkdzjdzidzhdzgdzfdz\ edzddzddzbdzadz_dzZdzYdzWdzVqzUnzSlzRizQfzOczN`zLZ\ zKWzJTzHQzGOzFLzDIzCFzBDz } END PARAMETER FILE=========================================

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FOTD 24-10-04 (A Fractal Primeval [6])
by Jim Muth 24 Oct '04

24 Oct '04

FOTD -- October 24, 2004 (Rating 6) Fractal visionaries and enthusiasts: The existence of Julia sets has been known for almost 100 years, though their exact appearance was not determined until modern computers were developed. And when computers finally opened the door to the world of fractals -- wow! were we surprised. The FOTD for today takes us on to the Julia version of the formula Z^2+C, a formula that draws perhaps the most basic and simplest of all fractals. This formula is so familiar and has been explored so thoroughly that it is a bit difficult to find anything new in it. But the fractals it produces are infinite in number, and infinity is inexhaustible. To find today's image, I chose a point in a basin of a midget deep in East Valley of the prominent midget on the negative X-axis of the Mandelbrot set, and checked its corresponding Julia set. The image I came up with is not excep- tional -- I have seen many similar images -- but it is different enough from what is normally pictured as a Julia set to qualify as the FOTD for today. I named the image "A Fractal Primeval". When I saw it, I was reminded of a scene deep in the primeval ocean of early earth, at a time when life had just evolved to the level of multicel- lular organisms. A few of these early creatures, if they can be considered creatures, are illustrated, complete with infinitely divided Cantor-style nuclei. I doubt that these early forms of life actually were colored the brilliant shade of red that I gave them, but the strong coloring is what raised the image to its rating of a 6. The rating of 6 might be a bit excessive for such an ordinary image. I feel the image is worth its rating however. And when the render time of under 10 seconds is figured in, the overall worth registers an amazing and grossly inflated 3681. The image may be seen by running the included parameter file and waiting a few seconds, or, if your computer is Fractint chal- lenged, by downloading the completed GIF image from the FOTD web site maintained by Paul Lee at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A fine sunny day here at Fractal Central on Saturday was kept from being perfect by a slightly-too-chilly temperature of 55F 13C. The cats did not seem to mind however, and spent most of the afternoon in the yard, doing what fractal cats do best. They came in at sunset as soon as they heard the food being opened, and enjoyed a treat of turkey and tuna. Today is starting not so sunny, with sprinkles of rain already falling. The day could go any way at all, so check back in 24 hours to see how the cats make out. The next glorious (IMO) fractal will also be available right here at that time. Until then, take care, and what a lovely bunch of fractals fills the cosmos. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Fractal_Primeval { ; time=0:00:09.78--SF5 on a P200 reset=2003 type=julia center-mag=-0.00000692960822\ 208/+0.05602788817859143/1599.23/1/-60/-3.94004273\ 651660242e-013 params=-1.749708627366082/3.2897258\ 61169113e-007 float=y maxiter=900 bailout=9 inside=255 logmap=232 symmetry=none periodicity=10 colors=000AKKAKKAKKAKKAKKAKKAKKAKKAKKAKKAKKBKKCKKD\ KKEKKDJNCIOBHSAHUCMXERZGVaIZeJbhLflNjoPnsRqvTszVuz\ XvzZwz`xzbyzdzzcxzZwucuvZrrUjmQehQ_cQXZQWUQXPNZKL_\ IIaIGbHEcGBeG9fF7gFEfKKePQdUWcZbcchbhnamt`rz`vw`nu\ `fr`Zp`Rm`Jk`BjcAje9ig9ij8ik8hl7hm7hn6go6gp5gq5_p6\ `qAaqKbqUcqUdqUeoUfkUggUhcUi_PjWKmSFpO8sK6tH5tJ4uL\ 3wN2wT2yT2wW2wX2rY2mZ2j_2j`2ja2jb9jcFjdLjeRcfPXgNR\ fLKeJDdH7bF8aT8`f8_sDZL7Y`2XoMWedVWwUMX`UW`ZV`cU`h\ U`lNbpGcs9ew3fzD`vMVrVQncKjlFgiEioEvpDzxDwrCpsCjkC\ mcCmWCmVBmUAmUAm9Ym9Nm9Dz8Hz8Lz8Pz8Sz7Wz7_z7cz7fzM\ _z_TzmNzRRz4UzIVzWWzhXzbazXfzRkzLpzGtzSezcSzEVpMUz\ UUz`TzwTzwTzjRzfQzbPzZOzUMzQLzMKzIJzFqzJmzMizPfzSb\ zV_zjbzydzsgzmizglzanzWqzRszhJzVEzH9zIqzFszDtzAvz8\ wz5yz3zzHozUdzZizcmzgqzluzpyzpszbezPTzCGzRSzdczejz\ fRzgKzhEzi7zi1z`7zTDzKJzCPz4VzAUzGUzLTzRTzXSzaSzgR\ zlRzgXzcaz_gzVlzRrzq`zqYz } END PARAMETER FILE=========================================

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FOTD 23-10-04 (Julia Tree-Rings [6])
by Jim Muth 23 Oct '04

23 Oct '04

FOTD -- October 23, 2004 (Rating 6) Fractal visionaries and enthusiasts: Today's image takes us to the julfn+zsqrd formula of Fractint, a formula that gave me a fight when I tried to wring a respectful fractal from it. I finally won the battle by investigating the Mandelbrot variations of the formula and finding the parameters likely to produce interesting Julia sets by noting the coordi- nates of the interesting places in the M-sets. Several functions produced interesting Mandelbrot sets. I decided to check the Julia sets associated with the shoreline of the M-set that results when the 'cabs' formula is applied. The first Julia set I checked was a winner. This winning set is an extension in the remaining two dimensions of a point on the the eastern shoreline of its M-set. The set is illustrated in today's image, which shows the entire Julia set, and looks sur- prisingly like yesterday's image. I named today's image "Julia Tree-Rings". I thought of tree rings the moment I saw the image. Such an easily created image can hardly be rated very far above average, but I put a bit of extra coloring effort into the image, and that coloring effort raises it to a slightly-above-average rating of 6. The rings that fill the inside of the Julia set appear very inte- resting as they are. It might appear that they would grow even more interesting as one zooms deeper, but a single inzoom will reveal that they are fractal in nature, and continue dividing into ever smaller similar rings. The rings are ultimately dis- appointing, but they do however produce some interesting patterns in the areas where they converge, and create images much like yesterday's 'moirefan' image. The render time of 6-3/4 seconds is unusually fast, and when com- bined with the rating of 6 results in an overall worth of a grossly inflated 5333. Those who are concerned about inflation can download the image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather remained cloudy here at Fractal Central on Friday, but the temperature warmed to 57F 14C and the wind was light, which made things pleasant enough for the fractal cats to enjoy several hours in the yard. Today is starting sunny, and we are promised more sun and warmer temperatures throughout the after- noon. I hope the good weather actually holds up. The cats do not like broken promises. I promised myself an actual day off this weekend, and with only one minor job on the shelf beside the desk, it looks like I'll keep that promise. Luckily, I do not consider playing with fractals to be work. The next playful image will appear right here in 24 hours. Until then, take care, and do palm trees have rings inside their trunks that tell the tree's age? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Tree-Rings { ; time=0:00:06.75--SF5 on a P200 reset=2003 type=julfn+zsqrd function=cabs center-mag=-1.249e-016/6.66134e-016/0.8090289/1/57\ .5/1.310757058448075e-014 params=-0.07/0.23 float=y maxiter=1200 bailout=9 inside=0 logmap=yes symmetry=none periodicity=10 colors=0000AN0FT0KZ0PeAUkKZqUckchdmmYvrSzzQmmPccNU\ UMPPKKKJELKIOLNRMRUNOXOM_PKbPHdQFgQDjRBlRIhVOdYV``\ `YcfUgmQjsMmyJpoQnfWlYakPhiGng7tf9ngAhhCbiDXjFRkGL\ kUM`gNQuOFsNGqNGoMGmMGkLGiLGhLGDzXChcBSjABq`Tvzizs\ juljqejmZjiTjeQgiNdmKapHZtFWwGVxHUxITyISyJRzKQzKPz\ QQuWRqaSmgTimUesVayVYJAiG9kD8mB8o87q67sUKTpX2kYAfZ\ IadHXiGSnFOdKKWOGMSCDW84_6AcFHbNNaVU`b__bY_bW_bV_b\ T_bR_bP_bN_bM_`EfZ7lXCkVGjTLiRPhPTgOYgMafKeeIjdGnc\ FrcGs_GsXGtUGtRHuNHuKHuHHvEIvAIw7Iw4Iw1Jv6JvBKvGKv\ LLvQLvVMu_MudNuiNunOusOuwnIKlLLjOMiQNgTNfWOdYPc`Qa\ bQ_eRZhSXjTWmTUpUTrVRuWQwWUqbXli`gpcbvbcubdubetbft\ bgtbhsbhsaisajrakralramqanqanqcondolfojgoghpejpckp\ alpZnpXoqVpqSrqQsqOtqMonOjkQehS`eUXcWS`YNY_IVaETbF\ WcGYcG_cHacHccIfcJhcJjdKldKndLqdMsdMudNwdNydQtbTp`\ WlZZhYadWd`UgXSiTRoCkkGjgKjcOj_SjWWjS_jOciKgiGkiCo\ i8si5wi7vk9ulAHb9MZ8RV7WR } END PARAMETER FILE=========================================

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FOTD 22-10-04 (Moire Fantasy [7])
by Jim Muth 22 Oct '04

22 Oct '04

FOTD -- October 22, 2004 (Rating 7) Fractal visionaries and enthusiasts: I named today's unusual image, which was created by the 'julfn+exp' formula, "Moire Fantasy" because of the Moire interference patterns that exist all through it. This means that the appearance of the image is partly created by the screen resolution, and the image will therefore appear slightly different at different resolutions. The passes=b option works unusually well with today's image. Not only is it the fastest, but it is by far the most interest- ing to watch in action. The banded effect was achieved by rendering the scene with the outside set to 'summ', an option that I rarely use, but like the passes=b, one that works quite well with today's image. The function I chose for today's image is the 'abs', which changes the negative and imaginary values to positive values. This particular function works best with the julfn+exp formula. I know of no other formula in which the absolute value function works best. The image is different enough from my usual type of fractals to rate a 7. I almost rated it at an 8, but when I could pin down nothing in it actually well above average, finally decided on the 7. When the short render time of 1-1/2 minutes is figured in, the overall worth registers an impressive 435. The completed GIF image is available at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A cloudy and drizzly day here at Fractal Central on Thursday, with a temperature of 50F 10C, kept the dynamic fractal cats stranded indoors for the second straight day. But once again their moods were surprisingly good, and no special treat was needed. Today is again starting cloudy and cool. I expect the cats to have a similar day. For me it looks like an average day, with enough work to keep me busy several hours before I can turn to the world of fractals. The next FOTD will appear tomorrow. Until then, take care, and believe what you will, but be sure to believe something. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Moire_Fantasy { ; time=0:01:36.50--SF5 on a P200 reset=2003 type=julfn+exp function=abs passes=b center-mag=-0.0958251/0.0660603/0.9908874/1/-87.5/\ -1.26836041669520228e-013 params=-1.6/0.42 float=y maxiter=1200 bailout=64 inside=255 outside=summ logmap=yes symmetry=none periodicity=0 colors=000jEekDelDdmCcmCcjBagB_eBZbBX_BWYBUVBTSBRQ\ BQNBOKBNIBLFBKCBIBDFABH9AI89JACIBEICHIDJIFMHGOHHQH\ ITHKVGLYGM_GNaGOdGQfFRiFSkFTmFVpEWrEXuEYwEZyEYwHXv\ JWuMWtOVsRUrTUqWTpYSo`SnbRmeQlgPkjPjlOioNhqNgtMfvL\ eyLdzKezJeyJexIewHfvHfuGftFfsFfrEgqDgpDgoCgnBhmBhl\ Ahk9hj9hj8gh8fe8eb8d_8cX7bV7aS7`P7_M7ZJ7ZHA`LDaPFc\ TIdXLf`NgcQhgTjkVkoYms`nwbozYruTtqRpsQmtPjuOgvMdxL\ ayKYzJVzHSzGPzFMzEJzIIzLHzOHzRGyUFxXFv_EucDsfDriCp\ lBooBmrAlu9jx9irBemCbhD_eCZbCY`BXYBWVBVTAUQAUNATL9\ SI9RF9QD8PA8O88OACPBGQDKREOSGSTHVUOYPV_KabFhdAof6k\ iEhkMemUaoaZqiWsqTuyWsvYrs_qpbpmdojfngildkkamjZpiW\ rhTtgQvfNseQpdTncWkcZhbafadc`g``jZ_mWZpUZsRaqPcoNe\ mLhkJjiKlgMoeOqcQsaSv_UxYWzXYyV_yUayScyReyPgyOiyNk\ yLmyKozIqzHszGuzHwzIxzJyzJzzKzzLzzLzzMzzNzzOzzOzzP\ zzQzzQzzMzzJzzGzzFzzEzzEzzDzzDzzGzzJzzMzzOzzRzzUzz\ WzzZzzazzczzfzzizzkzznhrz } END PARAMETER FILE=========================================

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FOTD 21-10-04 (Antarctic Fractal [6])
by Jim Muth 21 Oct '04

21 Oct '04

FOTD -- October 21, 2004 (Rating 6) Fractal visionaries and enthusiasts: Today's formula, the 'hypercomplexj', draws the Julia sets that correspond to the Mandelbrot sets drawn by the 'hypercomplex' formula. These formulas use 4-part hypercomplex numbers, which draw four-dimensional M-sets and J-sets. These two four-dimen- sional collections of sets are oriented so that they intersect in single points, with an entire 4-D Julia set corresponding to every individual point of the 4-D M-set. For this relation to be possible, fully eight dimensions are needed. So when we ex- plore with the 'hypercomplexj' formula, we are actually explor- ing an eight-dimensional Julibrot figure. In eight-dimensional space, there are six mutually-perpendicular directions that are at the same time perpendicular to a two- dimensional plane, such as that of the screen. All six direc- tions can be explored with the six variable parameters of the 'hypercomplexj' formula. (For some reason, the 'hypercomplex' formula ignores the 'warped' M-sets.) My dream formula would be one that draws every possible orientation through this 8-D Juli- brot. Unfortunately, my math ability is not up to the task of writing such a formula, so the formula will remain a dream. When I first saw today's image, it reminded me of something familiar that I could not quite recall. Then I recognized a resemblance to the continent of Antarctica, and named the image "Antarctic Fractal". The image is one of the Julia sets that corresponds to yester- day's 'Elephant-Seahorse' Mandelbrot image. In the 8-D Julibrot not all Julia set slices are symmetrical, as they are in the more familiar 4-D Julibrot. In today's image, which shows the entire Julia set, I emphasized this lack of symmetry. As was the case in yesterday's image, today's image has places where different elements overlap, and the lower-iteration ele- ments are obliterating the higher-iteration ones. What we have is two distinct Julia sets fighting to be displayed on the screen, with the lower parts of each set winning. It strikes me as much like human nature, where we know what is right but are prevented from doing it by our baser instincts. With so much calculating to do in each cycle and a maxiter of 27000, today's image is a slow one, taking an hour on my tired old workhorse 200mhz machine. (On the new 2200mhz machine, a test-rendering took 8 minutes, but that unit is for real work, not fun.) Today's image has much mathematical interest but lacks artistic beauty. I rated it at a 6, mostly for its math interest. When the one-hour render time is figured in, the overall worth equals a humble 10. My recommendation is to avoid such excessive humility by down- loading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> But if your machine is a fast one and is Fractint compatible, be humble. Take a few minutes to enjoy the coming-into-existence of a tiny part of an unimaginable 8-dimensional world. And un- less I am mistaken, our universe is currently theorized to con- tain 11 dimensions. A chilly, dreary, misty day here at Fractal Central on Wednesday kept the fractal cats confined to their shelf by the window. For some unknown reason, their moods were not bad however. As a reward, they received extra tuna for their evening dinner. Today is again starting dreary and chilly. More tuna will be needed. In my department, the commercial work is still caught up, and the FOTD fractals will keep coming every day. The next one will appear, not quite by magic, at this same time and place 24 hours from now. Until that ecstatic moment, take care, and don't dis- turb the fractal peace with excess exuberance. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Antarctic_Fractal { ; time=0:12:09.08--SF5 on a P200 reset=2003 type=hypercomplexj function=sqr passes=t center-mag=-8.88178e-016/-0.132743/1.173709 params=-0.2218959949992792/-0.03077554360265753/0/\ 0.53/0.25/0 float=y maxiter=27000 bailout=9 logmap=yes symmetry=none periodicity=0 colors=000POePXeOZeO`eOdeNheOleOoeOqeWrd_sdctdeudf\ vefwgbwiZwkVwmRxpNxrKxsKwqKuoKsmKqkKoiKmgKkeKicKha\ Kh_FgYAgWDeUFcSHaQJ_OLYMOWLQUMSSMUQNWOOZMO`KPbIQdG\ QfERhDReCQcBPaBO_ANX9MV9LT8KR8JO7IM6HK6GI5FG5FH9JI\ CNIFRJIUKMYKPaLSeLVhMYgN_gNbgOdfOgfPifQleQneRqeRsd\ SvdSxdYugcriiokolnuipzfrzdtzeotejnfehgabhXXjSRkOLk\ JFjEAhACf9Dd8Eb7G`6HZ5IX4KV3LT2MR1NP0ON6PLCQKIRMOS\ NUTOUUPUWQVXRVYSVZTV_UW`VWaWWcXWdYXeZXf_Xg`XhaYibY\ kcYldYmeZnfZogZphZqi_sj_tk_ul_vm`wn`xo`ypazqayp`xn\ _vmZukYtjXsiWqgVpfUodUmcTlaSk`Rj_QhYPgXOfVNdUMcSMb\ RLaQK_OJZNIYLHWKGVIFUHESFDTGEUHEVHFWIFXIGYJGZKH_KH\ `LIaLIbMJcNJdNKeOKfOKgPLhQLiQMjRMkRNlSNmTOnTOoUPpU\ PqVQrWQsWRtXRuYRuZRt_9s`BraCqbEpcFodGmeIkfJigLghMe\ iNcjPakQ_lS_mR`nRanRboQcoQdoQfpPgpPhpPipPjqOkqOlqO\ nrNorNprNqsMrsMssMutNtsMtsMtsMtsMtsMtsMtrMtrMsrLsr\ LsrLsrLsqLsqLsqKsqKsqKsqK } END PARAMETER FILE=========================================

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FOTD 20-10-04 (Elephant-Seahorse [6])
by Jim Muth 20 Oct '04

20 Oct '04

FOTD -- October 20, 2004 (Rating 6) Fractal visionaries and enthusiasts: Today's FOTD takes us to the hypercomplex formula of Fractint, which draws a four-dimensional version of the Mandelbrot set. At one time I used this formula quite extensively, but since then I have written my own formula, the HyperMandelbrot, which draws all the same images plus many new images that the hyper- complex formula does not. The hypercomplex formula is not to be cast aside as outmoded however. It still draws some very interesting images, and it draws them faster than my own formula. In a case like today's, where the image takes over one hour to render, speed becomes quite important. In addition, the hypercomplex formula is the only one in which the various functions can be applied. Being four-dimensional, the overall shape of the hypercomplex Mandelbrot set is impossible to visualize, but when the function is 'sqr', it can be taken as two familiar Mandelbrot sets partly overlapping. The position of the overlapping sets is controlled by the Z parameter. The other functions produce different figures, but the figures behave in pretty much the same way. The most interesting parts of the fractals drawn by the hyper- complex formula are the places where different parts of the two overlapping M-sets intersect. One such place is seen in today's image, which shows an intersection of Elephant Valley and Seahorse Valley. When two elements intersect, the element with the lower itera- tion count always obliterates the higher. In today's image, Seahorse Valley appears as the brownish shaft shooting up the center of the frame, while the rest of the scene is a part of Elephant valley. Examine the brownish elephant-trunk features just above the center of the frame. The elephant spirals do not go on indefinitely, as would be expected. Instead, as their iteration count increases, they grow more diffuse as they grow smaller, until their iteration count finally becomes higher than the count of Seahorse Valley, which until now they have been obscuring, and they vanish entirely. The moral of all this is, 'once a point escapes, it is not coming back'. I named the image "Elephant-Seahorse", because it is a combina- tion of both valleys. I rated it at a 6, more for its mathema- tical interest than its artistic worth. The unusually slow render time of 1 hour 18 minutes reduces the overall worth to a pathetic 7.6. But that abysmal worth can be ignored by downloading the file of the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A chilly rain here at Fractal Central on Tuesday, with a temper- ature of 52F 11C, kept the dynamic duo of fractal cats indoors all day. They accepted their confinement stoically, though an extra treat of tuna was needed to help them find their stoicism. Today is starting chilly and cloudy, but at least it is dry. What the cats will make of this is anybody's guess. My guess is that the next FOTD will appear in 24 hours, and it is a pretty fair guess that the image will be memorable. Until that glorious moment arrives, take care, and search for the hidden meaning in fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Elephant-SeaHorse { ; time=1:18:35.73--SF5 on a P200 reset=2003 type=hypercomplex function=sqr passes=1 center-mag=-0.22062180436286390/-0.029775589430454\ 16/607.5435 params=0/0/0/0.53 float=y maxiter=27000 bailout=9 inside=0 logmap=25 periodicity=10 colors=000OSVPTVQUWRVWSWWUXWVYXWZXX_XY`XZaY_bYacYb\ dYceZdfZegZfhZgi_ij_jk_kl_lm`mn`no`opapqaop`nn_lmZ\ kkYjjXiiWggVffUedUccTbaSa`R`_QZYPYXOXVNVUMUSMTRLSQ\ KQOJPNIOLHMKGLIFKHEIFDJGEKHELHFMIFNIGOJGPKHQKHRLIS\ LITMJUNJVNKWOKXOKYPLZQL_QM`RMaRNbSNcTOdTOeUPfUPgVQ\ hWQiWRjXRkYRkZRj_9i`BhaCgbEfcFedGceIafJ_gLYhMWiNUj\ PSkQQlSQmRRnRSnRToQUoQVoQXpPYpPZpP_pP`qOaqObqOdrNe\ rNfrNgsMhsMisMktNjsMjsMjsMjsMjsMjsMjrMjrMirLirLirL\ irLiqLiqLiqLiqLhqKhqKhpKhpKhpKhpKhpKhpKhrIhpKhoMhm\ OhlQhjShiUhgVhfXhdZhc`habh`dhZehYghWihVkhTmhSohRpg\ SofTofToeUneUndVncVncWmbWmbXmaYmaYl`Zl_YmZXnYWoXVp\ WUqVTrUSsTRtSQuRPvQOwPNxOMyPLzPKzQJzQIzQHzRGzRGzSH\ zSIzTIzTJzTKzUKzULzVMzVMzWNzWOzWOzXPzXQyYQyYRyZSxZ\ SxZTx_Ux_Uw`Vw`Ww`Ww_VuZVtYUsXUrWTqVToUSnTSmTRlSRk\ RQiQQhPPgOPfNOeMOcLNbLNaKM`JM_ILYHLXGKWFKVEJUCISEJ\ TFKTGLTHMUINUJOUKPUMQVNRV } END PARAMETER FILE=========================================

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FOTD 19-10-04 (The Rage of Poseidon [6])
by Jim Muth 19 Oct '04

19 Oct '04

FOTD -- October 19, 2004 (Rating 6) Fractal visionaries and enthusiasts: Today we turn to the Halley formula of Fractint, which is one of my favorite formulas. It converges on roots of polynomials much like the Newton's formulas, but with much more control over the appearance of the images. The 'epsilon' parameter controls how close to the actual roots the points must come before calcula- tion is stopped. The 'relaxation' parameter has nothing to do with relaxing after a hard day's work. It controls the amount of chaos in the image. A value above one allows more chaos, while less than one keeps the chaos under tighter control. An imaginary value, such as I used in today's image, twists the entire scene. The colors are determined by the number of iterations needed to reach the point where the change is less than the value assigned 'epsilon'. The smaller this value, the more iterations will be needed, and the greater the opportunity for chaos to sneak in. Today's image uses a value of an extremely small 10^(-15), which brings out all potential chaos. In addition to total chaos between roots, some settings of the Halley parameters produce total chaos along the borders between areas of different numbers of iterations to the same root. This is the case in the purplish areas of today's image, where magni- fication will reveal that no two adjoining areas actually touch. Regardless of the magnitude, there is always chaos along the 'borders'. Though it usually consists of only two colors, this chaos is interesting in itself. Sometimes, as in today's image, it is totally chaotic, while at other times, unexpected geome- tric patterns appear. I am not sure whether this chaos is part of the formula or an artifact of the math routine, but it is curious nevertheless. One of the early versions of today's image was colored with a turquoise theme, and resembled an undersea scene, with air bubbles rising toward the surface. I named it "The Rage of Poseidon". (If I remember my mythology correctly, Poseidon is the god of the sea, who really had it in for Ulysses for blinding his cyclops son.) I have since totally changed the color scheme to something more like a view down into the pit of hell, but I have kept the angry oceanic name. I would have rated the image at a 7, but I have a certain aversion to spirals, of which today's image is a perfect exam- ple, so I could rate it no higher than a 6. When the brief render time of just under 4 minutes is considered, the overall worth equals a humdrum 153. The image may be rendered from the included parameter file or downloaded, already completed, from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather remained uneventful here at Fractal Central on Monday. The partly sunny skies and temperature of 59F 15C were barely good enough to meet the quality standards of the fractal cats, who spent less than an hour lounging testily in the yard. Things will be no better for the duo today, since it is starting wet and chilly. They will not like this. The next FOTD is but 24 hours away. Until then, take care, and don't surrender to fractal terrorism. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Rage_of_Poseidon { ; time=0:03:54.98--SF5 on a P200 reset=2003 type=halley passes=1 center-mag=14.1471\ /8.14196/0.03333333 params=12/0.9/1e-015/0.59 float=y maxiter=95 bailout=9 symmetry=none inside=bof61 logmap=yes periodicity=0 colors=000pfC_lPZkPXjQWhQVgQUeRTdRJeWScR_aMg`IeYLd\ VNcSQbPSaMV`JX_G_ZDaYAdX7fX2jW4hW6gW8fWAeWCdWEcVGb\ VIaVK`VM_VOZVQYVRXXSWZTV`UUbVTdWSfXRhYQjZQl_Pn`Opa\ NrbMtcLvdKxeJzeJxgIvhHtiGsjFrkEwlAzmKznUzoczpmzqwz\ zzzzzzzzzzzzzzzzwzzmzzczwUzrLzmMzhMzcNzcNzcNwYOtKO\ qEPnAOkANhANcAM_1LX4OW6QW8SXBVXEXYHZZLaZOc_Re_Vh`Y\ kaanafrbjudnzbox`owZovXotWosUorSoqQooOonNomLokJojH\ oiEqiGohHngJmfKleMjdNicPhbQgbSfaTd`Vc_WbZYaYZ_X`ZW\ aYWcXVdWUfUTgTSiSRjRQkQQiRPgRPeRPdRPbRP`RO_ROYROWR\ OVROTRNRRNQRNORNMRNLRNOSQRSSUSVXSX_S_bSa_U`XV`VW`S\ X`QY`NZ`L``Ia`Gb`Dc`Bd`8e`6f`5f`4fa3fa2fa2fa5g`7g_\ AhZChYEiXHiWJjWMjVOjUQkTTkSVlRYlRyqH_mQamPdnOfnNin\ MkoMmoLppKrpJuqIwqHfW7gX8gX8gX8gX8gY8hY8hY8hY8hY8h\ Z8hZ9iZ9iZ9iZ9i_9i_9j_9j_9j_9j`9j`9j`Ak`Ak`AkaAkaA\ kaAkaAlaAlbAlbAlbAlbBmbBmcBmcBmcBmcBmdBndBndBndBnd\ CneCneCoeCoeCoeCofCofCpfC } END PARAMETER FILE=========================================

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Fractint arbitrary precision
by Fractal Laboratory 18 Oct '04

18 Oct '04

Does anyone know if there is a translation of Fractint's arbitrary precision library into a Windows DLL? Thore Berntsen _________________________________________________________________ MSN Messenger http://www.msn.no/computing/messenger - Den korteste veien mellom deg og dine venner

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FOTD 18-10-04 (October 18, 2004 [5])
by Jim Muth 18 Oct '04

18 Oct '04

FOTD -- October 18, 2004 (Rating 5) Fractal visionaries and enthusiasts: The problem with today's image is that I could find no satisfactory name for it. Normally, I find the FOTD names almost automatically as I study the images (yes, this sometimes produces duplicate names). But after studying today's image for nearly 1/2 hour, and finding no satisfactory name for it, I finally decided to identify the image by giving it the name of the date on which it appears. (If I had done this with all the past FOTD images, I would have a far easier time identifying and finding them.) I used the 'fn+fn' formula built into Fractint to create today's image. Like the recent formulas that use the Fractint functions, this formula can draw a vast variety of fractals. Not all of the possible fractals this formula can create are useful however, but many are quite interesting. To create today's image, I chose to combine 0.4 imaginary part of cosxx(Z) with 0.4 imaginary part of sqr(Z). (The cosxx function is not a legitimate math function. It is a coding error that appeared in an early version of Fractint, but drew enough interesting fractals to make it worth keeping in the program when the error was corrected.) To add some extra life to today's image, I rendered it with the outside set to 'atan' and the inside set to 'bof61'. Surprisingly, the maxiter of the image, which is 95, has a great effect on its appearance. As the maxiter is increased, the foreground objects grow rapidly larger, until the greyish-blue background is soon filled in, resulting in a more detailed, but IMO less interesting image. (I am one of those who appreciates vast empty spaces.) Maybe if I had found a proper name for the image, I would have rated it at a 6. But the fruitless search soured me on it, and in the end, all I could give it was a rating of an average 5. The humdrum rating really surges to life however when the almost instant render time of 4 seconds is considered, resulting in an overall worth of a shocking 5822. The completed GIF image is or soon will be available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A sunny but rather chilly day here at Fractal central on Sunday made for rather cool cats. The duo prefers a temperature above the 57F 14C, which was as warm as it got on Sunday. They showed their displeasure by demanding (and getting) an extra serving of tuna. Today is starting just as cool. The cats might turn even cooler. Lckily, we have a lot of tuna in the cabinet. My next task is to find a cool fractal. Since the number of fractals is infinite, my chance of doing so must be 100 percent. But somehow, it just doesn't seem to work out that way. I'll be back here in 24 hours with a cool fractal. If I can't find a cool one, I'll have a hot one. Until then, take care, and don't lose your cool when you see a hot fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= October_18_2004 { ; time=0:00:04.12--SF5 on a P200 reset=2003 type=fn+fn function=cosxx/sqr float=y center-mag=-4.4938/4.17348/1.670533/1/25/-1.233735\ 33611e-014 params=0/0.4/0/0.4 maxiter=95 bailout=64 inside=bof61 outside=atan logmap=yes periodicity=10 colors=000Y`hWksXnzYjsZdv_is`isahsbgscgsdfsefsfesg\ eshdsicsjcskbslbsmasnaso`sp_sq_srZssZstZsucsthgtmX\ srMswBsm0mcDgaQacaWenQfzPcvOasO_pNYmMWjMUgLSdLQaKO\ ZJMWJKTILQINNHPKGRHGTEFVBFX8EZDE`HDbLDdQCfUChYCjbB\ lfBnjApoArsAsuBruBptCnrClqDjpDhnDfmEdkEbjF`iFZhFXg\ GVfGTfHSeHRdIQcIPbIOaJN`JM_KLZKKYKJXLIWLHVMIU00000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 0000000000000000000000000 } END PARAMETER FILE=========================================

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I'm Back
by Dorothy Gibbs 18 Oct '04

18 Oct '04

Hi There, After a very long time during which I acquired a new computer, new email address (and two new knees! ) I thought I would see what the Fractint crowd were up to. Even in the first digest I received I see a couple of names I know..... great! I have a question.... I haven't tried it to see but my PC is now running XP pro (service pack2)... will I be able to run Fractint on it? Dorothy -- Dorothy Gibbs (in Hertfordshire UK)

5 6

FOTD 17-10-04 (The Blue Eagle Flies [6])
by Jim Muth 17 Oct '04

17 Oct '04

FOTD -- October 17, 2004 (Rating 6) Fractal visionaries and enthusiasts: Today's formula, fn*z+z, multiplies a portion of Z by one of the functions then adds an extra part of Z. The images thus created are many and varied. A bit bewildered by the possibilities, I took 0.56 part of acosh(z) and added 0.5 part of Z to it, creating a fractal with X-axis symmetry that vaguely resembles a snowflake. Today's scene, which is rotated 90 degrees from the normal orien- tation, is located on the X-axis. I named the image "The Blue Eagle Flies", though there is little in it that resembles a flying eagle. When I see the picture, I am reminded more of a levitating chicken than a flying eagle, but an eagle is a far more noble bird, so the name will remain. Whether the image shows a chicken or an eagle is not that impor- tant. The image has a certain 'feeling' about it that earns it a rating of 6. When the render time of just under 5 minutes is considered, the overall value scores a rather routine 122. The completed GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The fractal cats did not enjoy the weather here at Fractal Central on Saturday. The temperature reached 64F 18C, and there was enough sun, but a severe thunder-storm arose in the afternoon, which dropped enough hail for the neighbors to build a small hailman (a snowman made of slushy hail). Another heavy storm moved in an hour later, which eliminated the hailman. The cats spent the better part of the afternoon in the closet, hiding from the noise of the thunder. Today promises to be much better, but after yesterday's deception, will the cats trust the sunny skies? I am placing my trust in the world of fractals, where I will find the next FOTD image within 12 hours from now. What I find will appear as tomorrow's FOTD. Until then, take care, and the end is nowhere in sight. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TheBlueEagleFlies { ; time=0:04:53.85--SF5 on a P200 reset=2003 type=fn*z+z function=acosh passes=t center-mag=+0.53799925796583440/0/1004.176/1/90/\ 3.8857805861880479e-016 params=0.56/0/0.5/0 float=y maxiter=1000 bailout=9 inside=0 logmap=10 periodicity=10 colors=000xUfyUhzUjzQpzUkvXgs`bocZkgUhjQdnL`qHYtDX\ rCXqCWpCWoBVnBVmBUkAUjATiAThATg9Sf9Sd9Rc8Rb8Qa8Q`8\ P_7PY7OX7OW6OV6NU6NT6MR5MQ5LP5LO4KN4KM4IK3KL4LL5ML\ 6NL7OL8PL9QMARMASMBTMCVMDWMEXNFYNGZNG_NH`NIaNJbOKc\ OLeOMfONgONhOOiPPjPQkPRlPSmPTqRVZPTZORZNQeMObLM_KL\ 7JP0JP0JP7JP7JP7JP7JP7JP7JP7JPFaaEhgDnn9tvDttGqsJm\ qMjpPgoScmV`lYYk`UicRhfNfiKelHdoDbrAavmaum`t9`sm`r\ E`qG_pI_oL_nN_mPZlRZkUZjWZiYYh`YgbYfdYffYce`adc_cf\ YciWblTaoRarP`uN_xL_zKawKbtKcqKdnKflJgiJhfJicJkaJl\ ZJmWInTIpRIqOIrLIsIGtHItGKqFMnEOkDQgCSdBTaAVZ9XV8Z\ S7`P6bM5cJ5bI8aIBaHE`HH`GK_GN_FQZFTZEzYEzXDzXDzWCz\ WCzVBzVBzUAzUAzVHzWOz_TzcXzf`zjdzmhzqlzsoztpztpzup\ zupzupzvpzvpzwpzwpzwpzxpzxqzyqzyqzyqzzqzzqzzqzzqzz\ qzzqzzqzzqzzpzyozwozvnztnzsmzqmzplznlzmkzljzjjziiz\ gizfhzdhzcgzagz`fz_ezYezXdzVdzUczSczRbzPbzOazLfzNa\ zOYzPTzQPzSKzTGzUBzV7zW3z } END PARAMETER FILE=========================================

1 0

thank you.
by david lowenstein 16 Oct '04

16 Oct '04

Thank you for the sierpinski formula! -david

1 0

Fractint Question
by Michael Miller 16 Oct '04

16 Oct '04

Hello, I upgraded my system to an Asus a7n8x vm400 motherboard with sempron 2800 cpu 512 mb 3200 ddr 400 ram and nvidia geforce4 onboard video. This gives me more video options than I had before except that unless I use 320x200 16 colors I get "overrange" error where before with an 8mb agp 6356 video adaptor I could use up to 1280x1024 256 colors. Is there something I can do to be able to use the DOS version of Fractint at higher than 320x200 (prefereably 1024x768 256 + colors) ? Thanks, and my deep appreciation of your effots <s>. Sincerely Michael J. Miller Brio Follow the Son +

3 3

Linux DOSEMU or BOCHS able to run DOS Fractint?
by David Jones 16 Oct '04

16 Oct '04

Just wondering if anyone's tried running DOS Fractint under Linux DOS Emulator (DOSEMU) or the BOCHS virtual x86 software? I'm moving to Linux, and XFractint isn't cooperating yet in basic ways (see other note about XFractint and SSTOOLS.INI). David gnome(a)hawaii.rr.com

3 7

FOTD 16-10-04 (Fractal Fossil [7])
by Jim Muth 16 Oct '04

16 Oct '04

FOTD -- October 16, 2004 (Rating 7) Fractal visionaries and enthusiasts: Today's image, which rates a 7, was created by the fn*fn formula. This formula doesn't bother with a constant term such as Z or C, it merely multiplies two functions and plugs the product back into the formula. When I brought up the formula, I expected little of interest to come from it, and indeed, for a while nothing did. But then I tried multiplying the cotan and cotanh functions, and activating the mainly blank screen with the bof61 inside fill. The result was a screen filled with chaos, but with little delicate and interesting objects of order scattered among the chaos. Today's image reveals one of these bits of order. It is not surprising that a formula that includes a hyperbolic function should draw a hyperbola. And that is exactly what we find at the center of the large semi-orderly area. Don't bother zooming into the center of this hyperbola -- I already did, and found that it's hyperbolae all the way down. The large central object in today's image reminds me of a fossil, so I named it "Fractal Fossil". The rating of a 7 might be a bit exaggerated, but the image really is a rather unusual one. When the 4-minute render time is figured in, the overall worth rates a respectable 173. The rendering may be avoided by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The heavy clouds and occasional rain hung around all day here at Fractal Central on Friday, holding the temperature to 64F 18C and keeping the dynamic duo of fractal cats confined to their lookout shelf by the side window, where, due to the rain, there was very little to look at. The duo took their disappointment rather well. Today is starting blustery and chilly, but only a few clouds are in the sky. It is too early to determine what the duo will make of it. For the fractal human, the work is caught up, leaving a day with not much to do but watch some games on TV and find a great fractal. The next FOTD will appear in 24 hours or I'll have a good alibi ready. Until next time, take care, and if nothing is real, is the knowledge of that fact real? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Fossil { ; time=0:04:02.55--SF5 on a P200 reset=2003 type=fn*fn function=cotan/cotanh center-mag=-1.22692/1.25354/2.297076/1/5/3.8857805\ 86188048e-016 float=y maxiter=95 bailout=1410065407 inside=bof61 logmap=yes periodicity=10 passes=1 colors=000OkzNhzMezurAL_zKXzJUzIRzHOzHLzGIzFFzECzD\ 9zD7AHwzLw0m50T50X4T`4zd3zh3zl2zp2zo7XnCzmHzlMzkRz\ kWzj`ziezhjzgozgtzerzdqzcpzboz`nz_mzZkzYjzWizVhzUg\ zTfzRdzQczPbzOazM`zL_zKYzJXzHWzGVzFUzETza_zxfztbzq\ ZzmWzjSzfPzcLz`Iz_Mz_QzZTzZXzY`zYczYgzXkzXnzWrzWvz\ WyzXxzYwzYvzZvz_uz_tz`szaszarzbqzbpzcpzdozdnzemzfm\ zflzgkzgkzdkzblz`mzZnzNOzPNzQNzSMzTMzVLzXKzYKz_Jz`\ JzbIzcIzgTzkXzn`zqdzmezjfzggzdgzahzZizWjzTjZQkYNlW\ KmVHmUHnUHoUHpUIoVIoVInVInVImVImVImVIlVIlVIkVIkVIk\ VJjVJjVJiVJiVJiVJhVJhVJgVJgVJgVJfVJfVKeVKeVKeVKdV`\ eP_dOYdOXcOVbOTaNS`NQ_NP_NYULfPKoJJwEIrGKnIMjKOfMP\ bORZQTUSVQUWMWYIY_E_aA`bB_cB_cB_dCZdCZeCZeDYfDYfDY\ gEYgEXhEXhFXiFWiFWjGWjGWkGVkHVlHVlHUmIUmIUnIUnn4Kl\ 8OjBRiFVgIYfMadPdcThaWk`_oZbrYeuWdtUctSbsRasParN`r\ M_qKZqIYpHYpFXoDWoBVnAUn8Um6Tm5Sl3Rl1Qk0Qk3Pl5Pm7P\ m9OnCOnEOoGNoINpNk8Om5Pn2 } END PARAMETER FILE=========================================

2 1

I am looking for a fractal which has Pascal's triangles as its Julia sets
by david lowenstein 16 Oct '04

16 Oct '04

I wonder if the Sierpinski formula can be generalized? -david

2 1

FOTD 15-10-04 (The All-Seeing Eye [8])
by Jim Muth 15 Oct '04

15 Oct '04

FOTD -- October 15, 2004 (Rating 8) Fractal visionaries and enthusiasts: Today's unusual fractal takes us to the fn(z*z) fractal formula, a formula that at first glance appears to have little to offer, but proves quite rewarding when explored. Like yesterday's formula, today's formula draws some images that consist mostly of blank 'inside' stuff that does not come to life until it is activated by a suitable non-flat rendering method. Today's image consists almost entirely of 'inside' stuff brought to life by the 'fmod' inside fill. Only the brilliant center 'sun' and the brilliant turquoise center dots surrounding it are made of 'outside' material. Quite surprising is the effect the 'fmod' inside fill has on today's image. This fill normally produces overlapping bubbles, but in today's image it creates virtually the entire fractal with its spider-like arms and smoothly gradated background. This is the best job I have yet seen the 'fmod' fill do on a fractal. I must one day check to see what additional surprises this fill has hidden in it. In the fn(z*z) formula the function is obviously a major part of the calculation. To generate today's image I chose the cotanh or hyperbolic cotangent function. When the bailout radius is set to 1, this function fills the screen with an unsurprising hyperbolic pattern. As the bailout radius is increased, the solid pattern breaks down into separate bits and pieces that grow smaller as the bailout is increased further, until they finally vanish entirely, leaving a blank black screen of 'inside' stuff. For today's image, I settled on a bailout of 1600, where the bits and pieces have grown quite small, but have not yet entirely vanished. When I am in scientific mode, I call such blank or nearly blank screens 'virtual fractals' because they resemble sub-atomic virtual particles that are caught halfway between existing and not existing, and need only some extra energy to bring them to full existence. In today's case, the 'fmod' inside fill supplies that energy. In mystical mode, I call such blank screens ghost images, because they resemble ghosts or spirits that really exist but are invisible to our everyday sight. In this case, the 'fmod' fill gives us the psychic sight needed to see the ghosts. Today's image resembles nothing as much as a great eye. I named it "The All-Seeing Eye" I leave it to the viewer to decide the owner of the all-seeing eye. With its rating of 8, today's image is the highest rated image yet of my tour through Fractint. The render time of under 2 minutes raises that rating to an overall worth of an impressive 430. As always, the minor job of image rendering may be avoided by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A nondescript day here at Fractal Central on Thursday left the fractal cats in an ambiguous mood. Variably cloudy skies and a temperature of 64F 18C, with light winds, were pleasant enough for humans, but the duo could not decide how they wanted to spend the afternoon. They finally divided their time between the porch and the holly thicket. The clouds are thick this morning, and rain is threatening, so I doubt that the cats will have a better day. For me, even if it rains, the day will be fair enough once the work is finished. And if all goes very well, I'll find a great fractal. Whatever happens, I'll return in 24 hours with the next FOTD. Until then, take care, and a great fractal is better than a flu shot. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_All-Seeing_Eye { ; time=0:01:51.78--SF5 on a P200 reset=2003 type=fn(z*z) function=cotanh passes=1 center-mag=-1.5342/-1.53559/5.268201/0.9415/45/\ -2.50563458870090017e-014 float=y maxiter=255 bailout=1600 inside=fmod proximity=1 logmap=yes symmetry=none periodicity=10 colors=000BTgzztTxyQwxNuwLsvKqtKorKmpJknJilJgjJfhI\ dfIbdI`bHZ`HXZHVXHUVGSTGQRGOPFMNFKLFIJFHHGJKHKMHMO\ INQIPSJQUJRWKTYLU_LWaMXdMZfN_hN`jOblPcnPepQfrQgtRf\ vReySdxTcwUbvVauW`tX_tYZsZYq_Xo`WmaVkbUicTgdSeeRck\ KYpESu7Mz1Gw4Iu6Kr9MpBOmEQkGRhJTfLVcOXaQZZT_XVaUYc\ S_ePbgNdiKgjIilFlnDnpAqr8ssApqCmoEkmGhlIejJehLgfLi\ eLkcLmaMo_MqYMsWMuUMwSMyQNx9OwFOvLPuRQtXQsbRrhSqnT\ pzSqtRqoRqjQqdQq_PqVPqQOqKOqFNqANq5Qn8SlBUjEWgHYeJ\ _cMb`PdZSfXUhUXjS_lQbqPenOdlNcjMbgMaeL`cK_aKZZJYXI\ XVIWTHVQGUOGTMFSKERHEQFDPDCOBCNCDQDESEFVFGXGH_HIaI\ IdJJfKKiLLkMMnNNpGOpNNrTNt_MveMxkMzlOylPymQxmRxnTx\ nUwoVwoWwpYvpZvq_uq`urburctsdtsettgsthsuirujrvlrvm\ qwnqwoqpljiicbfYWcRP`LIYEAY6CW8EVAGTCISEKQGMPIONKQ\ MMSKNUJPWHRYGT_EVaDXcBZeA`g8bl5gi7cf9_dBXaDT_EQXGM\ UIISKFPMBOO9NN8MM8LL8LL8KK7JJ7II7II7HH6GG6FF6FF6EE\ 5DD5CC5CC5BB4AA49948A1994 } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 13-10-04 (Circle Limit [6])
by Fr. Jim Lacasse 15 Oct '04

15 Oct '04

Jim, For artistic or esoteric beauty I'd make this closer to an 8. Jim LaCasse >>> jamth(a)mindspring.com 10/13/04 06:56AM >>> FOTD -- October 13, 2004 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal is named "Circle-Limit". And why not? The formula that drew it is named 'escher_julia', and Escher drew several similar pictures which he named 'Circle Limit'. The 'escher_julia' formula draws circles filled with a variety of Julia-set parts. For today's image I chose a point near Seahorse Valley of the Mandelbrot set as the starting para- meters. These parameters only partly fill the circle with 'outside' features. Much of what appears inside the circle is 'inside' stuff. This presents no problem. I rendered the image with the inside set to 'bof61', which gives a nice shaded back- ground to the 'outside' features inside the circle. The image is a kind of graphic representation of a space of negative curvature, in which there is more space out there than would seem possible. In such a space, things appear smaller than their distance would indicate. If our universe has such a curvature, it will expand forever until it dies a slow death from increasing entropy. At least that is the old idea. But we are currently wrestling with all kinds of new forces and new ideas about the fate of the universe, and I'm not sure what its fate is now theorized to be. And even if we do determine its fate, how do we know that the universe will actually do what we theorize it must? It's all simply an interesting intellectual exercise. Today's image is a little above the average run of FOTD images, and earned an honest 6. Its speedy render time of 25 seconds results in an overall value of a huge 1395. The image may be viewed by booting the Fractint program and running the included parameter file, or by downloading the completed GIF file from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Tuesday was a bit chilly here at Fractal Central, but the sun was warm and the wind was light, permitting the fractal cats two pleasant midday hours of lounging on the porch, enjoying the sun. They took all the porch sun they could get. The sun is dropping lower, already skimming the tops of the holly trees even at midday, and in a week or so, the porch will be shaded all day. This morning I see clouds already moving in. With clouds and occasional rain expected for the rest of the week, the cats will likely be disappointed. With the today's fractal rating above average, I feel reasonably satisfied, but far better things should be possible, so I'll try again tomorrow on another formula. Until then, take care, and be careful not to bump into a fractal in the dark. Some of them have very jagged edges. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Circle-Limit { ; time=0:00:25.82--SF5 on a P200 reset=2003 type=escher_julia passes=1 bailout=4 center-mag=-2.22045e-016/2.22045e-016/0.9735202 params=-0.765/0.1 float=y maxiter=75 inside=bof61 logmap=yes symmetry=origin periodicity=10 colors=00020N20N90L000M0JS0Ij_czzzlzzirznhH_gKZXcc\ XRcRVcMicN_cNacOchOdhPfmPhmPirSOwU3h_6Zd9PiBPjBOjB\ OjBNjBNkBMkBMkBLkBLlBKlBKlBJmBJmBImBs28t17t17u16u1\ 6v05v05w04w04t35r55p75nA6lC6jE6hH7fJ7cL7aN7_Q8YS8W\ U8UX9HnHSZ9Q`9Nb9LeAJgAHiAFlBDnBBpB0EP1FO1GO1GO1HO\ 1HO1IN1IN1JN2KN2KN2LM2LM2MM2MM2NM2OL3OL3PL3PL3QL3Q\ K3RK3SK3SK4TK4TJ4UJ4UJ4VJ4WJ4WI4XI5XI5YI5YI5ZI5_H5\ _H5`H5`H6aH6aG6bG6cG6cG6dG6dF6eF7eF7fF7gF7gE7hE7hE\ 7iE7iE8jD8kD8kD8lD8lD8mC8mC8nC9oC9oC9pB9pB9qB9qB9r\ BLWXKXWKYVJZUJ_UJ_TI`SIaRHbRHbQHcPGdOGeOFeNFfMFgME\ hLEiKDiJDjJDkIClHClGBmGBnFBoEAoDApD9qC9rByzcwybvya\ uy`ty`ry_qxZpxZoxYmxXlxXkwWjwVhwVgwUfwTewTdvSbvRav\ R`vQ_vPYuPXuOWuNVuNTuMStLRtLQtKPtJNtJMtILsHKsHIsGH\ sFGsFFrEDrDCrDBrCArB7dn8el8fj8gh8gf8hd8ib8i`8jZ8kX\ 8kV9lT9mR9nP9nN9oL9pJ9pH9qF9rDjYAiZBhZBhZBg_Bg_Bf_\ Bf_Be`Be`Bd`BdaBcaBcaBbaB } END PARAMETER FILE========================================= _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

1 0

FOTD 14-10-04 (Jet Action [6])
by Jim Muth 14 Oct '04

14 Oct '04

FOTD -- October 14, 2004 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal image, which was created by the fn(z)+fn(pix) formula, is named "Jet Action". A quick glance at the image will reveal the reason for the name. Rarely have I seen such an energetic outburst from such a picayune fractal object. The fn(z)+fn(pix) formula creates an immense variety of fractals, more than any one person could hope to become familiar with in a month, much less one day. When I opened the formula, I set the two functions to 'sqr' and 'ident', which draws a half-sized version of the familiar Mandelbrot set. Then I set the real(p1) parameter to -1, and started tweaking the functions to see what would happen. When I noticed that the functions 'recip' 'sqr' draw a mostly empty screen consisting of 'inside' stuff, I brought the inside stuff to life with the inside=bof61 option. The result is today's image. The effect of two jets of pure energy shooting out from the center of some hyperenergetic galaxy is totally a product of the coloring, which took longer to work out than the image takes to render. Of course, that does not imply that an extraordinary amount of time was spent in coloring the image, since the render time is a fast-as-light 8-1/2 seconds, which results in an absolutely ridiculous absolute worth of 4317 when the rating of 6 is figured in. Perhaps the most interesting part of the image lies in the jets, where the boundaries have broken down into chaos that produces many varieties of interference patterns as it is magnified. This would appear to indicate that some order exists beyond the resolution limit, but if so, it is totally beyond reach. All this jet action may be seen in living color by running the included parameter file, or, if your state-of-the-art machine is Fractint-challenged, by downloading the finished GIF image from the FOTD web site watched over by Paul Lee at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Lots of clouds and a temperature of 61F 16C kept the fractal cats subdued most all day Wednesday. Luckily, the rain held off long enough for the duo to enjoy a brief half hour in the yard. Today looks to be similar. It remains to be seen how the duo will adjust. With the commercial work still caught up, I'll adjust to what- ever happens with no trouble. And who knows -- tomorrow might be the day I finally find a fractal that rates a 10. Until then, take care, especially of your fractals in need. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Jet_Action { ; time=0:00:08.35--SF5 on a P200 reset=2003 type=fn(z)+fn(pix) function=recip/sqr center-mag=-1.15802/0/0.3703704/1/-90/3.8857805861\ 8804789e-016 params=-1/0/1/0 float=y maxiter=255 bailout=1600 inside=bof61 logmap=yes periodicity=10 colors=00007KD7LD8LF9MSBOYCR`ITdPViSUlWNp`GsgAxlUz\ qczumzzczzmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz0xz0vz0\ vz0iq0Yf0OX0FO07I80HL0HZ0Hm0Ht0Zm0zc0zU0zN0zG0zA0x\ 40n00h00b00X02R07L0AH0FH0KH0OH0SH0QH0QH0QH0QH0QH0Q\ H0OH0OH0OI0OJ0OM0OO0MR0MU0MW0MZ0M`0Mb0SZ0YX0bW0iU0\ pQ0vO6zMEzLNzJXzLZzLZxLZsMZnMZiMZdOZ`OZWOZSQ`OQ`KQ\ `GR`DR`9R`5U`2U`0U`0U`0QX0OU0MS0LN0JL0II0HE0HC0HA0\ H60H40H20H00H00H00H00H60HL0O`0WrAz2Ah0AW0AJ0AH0AH0\ AH0GH0MH0QH0WH0`H0gH0nH6sHCzHIzHNzHIxHEsHCpH8lH4iH\ 2dH0bH0YH0WH0SH0QH0MH0KI0GL0FM0AQ09R0DW0GX0IZ0Mb0O\ d0Sf0Uj0Yl0`n0ds0gu0lx0nz0sz0vz0zz0zz0zz0zz01jf5`c\ ARcGJcKHcQH`WH`bH`gH`nHGvf0zz0zz0zz0vz0pz0lz09Ht9H\ t5HS4HU1HU0HX0HX0HZ0HZ1HZ1HZ1HZ2H`2H`2H`4H`4H`5Lc5\ Oc5Rc7Xc7`c7dc9fXAfSDhNFhIGhEIjAKj6Ml2Ol0Ql0Sn0Un0\ Wq0Yq0`q0bs0ds0gu0iu0lu0nx0px0sz0vz0vz0gu0Wq0Kn0Aj\ 02f00d00`00Z00X00W0zzzzzz } END PARAMETER FILE=========================================

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Fractint Question
by Michael Miller 13 Oct '04

13 Oct '04

Is there any way to get my nVidia video adaptor to let me use a fractint video setting higher than 320x200 ? I recently upgraded the motherboard, processor and ram; the old board had AGP 8mb and I could use up to "SF 9" in fractint. Thanks. Michael Miller damienmj(a)earthlink.net

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FOTD 13-10-04 (Circle Limit [6])
by Jim Muth 13 Oct '04

13 Oct '04

FOTD -- October 13, 2004 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal is named "Circle-Limit". And why not? The formula that drew it is named 'escher_julia', and Escher drew several similar pictures which he named 'Circle Limit'. The 'escher_julia' formula draws circles filled with a variety of Julia-set parts. For today's image I chose a point near Seahorse Valley of the Mandelbrot set as the starting para- meters. These parameters only partly fill the circle with 'outside' features. Much of what appears inside the circle is 'inside' stuff. This presents no problem. I rendered the image with the inside set to 'bof61', which gives a nice shaded back- ground to the 'outside' features inside the circle. The image is a kind of graphic representation of a space of negative curvature, in which there is more space out there than would seem possible. In such a space, things appear smaller than their distance would indicate. If our universe has such a curvature, it will expand forever until it dies a slow death from increasing entropy. At least that is the old idea. But we are currently wrestling with all kinds of new forces and new ideas about the fate of the universe, and I'm not sure what its fate is now theorized to be. And even if we do determine its fate, how do we know that the universe will actually do what we theorize it must? It's all simply an interesting intellectual exercise. Today's image is a little above the average run of FOTD images, and earned an honest 6. Its speedy render time of 25 seconds results in an overall value of a huge 1395. The image may be viewed by booting the Fractint program and running the included parameter file, or by downloading the completed GIF file from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Tuesday was a bit chilly here at Fractal Central, but the sun was warm and the wind was light, permitting the fractal cats two pleasant midday hours of lounging on the porch, enjoying the sun. They took all the porch sun they could get. The sun is dropping lower, already skimming the tops of the holly trees even at midday, and in a week or so, the porch will be shaded all day. This morning I see clouds already moving in. With clouds and occasional rain expected for the rest of the week, the cats will likely be disappointed. With the today's fractal rating above average, I feel reasonably satisfied, but far better things should be possible, so I'll try again tomorrow on another formula. Until then, take care, and be careful not to bump into a fractal in the dark. Some of them have very jagged edges. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Circle-Limit { ; time=0:00:25.82--SF5 on a P200 reset=2003 type=escher_julia passes=1 bailout=4 center-mag=-2.22045e-016/2.22045e-016/0.9735202 params=-0.765/0.1 float=y maxiter=75 inside=bof61 logmap=yes symmetry=origin periodicity=10 colors=00020N20N90L000M0JS0Ij_czzzlzzirznhH_gKZXcc\ XRcRVcMicN_cNacOchOdhPfmPhmPirSOwU3h_6Zd9PiBPjBOjB\ OjBNjBNkBMkBMkBLkBLlBKlBKlBJmBJmBImBs28t17t17u16u1\ 6v05v05w04w04t35r55p75nA6lC6jE6hH7fJ7cL7aN7_Q8YS8W\ U8UX9HnHSZ9Q`9Nb9LeAJgAHiAFlBDnBBpB0EP1FO1GO1GO1HO\ 1HO1IN1IN1JN2KN2KN2LM2LM2MM2MM2NM2OL3OL3PL3PL3QL3Q\ K3RK3SK3SK4TK4TJ4UJ4UJ4VJ4WJ4WI4XI5XI5YI5YI5ZI5_H5\ _H5`H5`H6aH6aG6bG6cG6cG6dG6dF6eF7eF7fF7gF7gE7hE7hE\ 7iE7iE8jD8kD8kD8lD8lD8mC8mC8nC9oC9oC9pB9pB9qB9qB9r\ BLWXKXWKYVJZUJ_UJ_TI`SIaRHbRHbQHcPGdOGeOFeNFfMFgME\ hLEiKDiJDjJDkIClHClGBmGBnFBoEAoDApD9qC9rByzcwybvya\ uy`ty`ry_qxZpxZoxYmxXlxXkwWjwVhwVgwUfwTewTdvSbvRav\ R`vQ_vPYuPXuOWuNVuNTuMStLRtLQtKPtJNtJMtILsHKsHIsGH\ sFGsFFrEDrDCrDBrCArB7dn8el8fj8gh8gf8hd8ib8i`8jZ8kX\ 8kV9lT9mR9nP9nN9oL9pJ9pH9qF9rDjYAiZBhZBhZBg_Bg_Bf_\ Bf_Be`Be`Bd`BdaBcaBcaBbaB } END PARAMETER FILE=========================================

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FOTD 12-10-04 (Vision of Lobsters [6])
by Jim Muth 12 Oct '04

12 Oct '04

FOTD -- October 12, 2004 (Rating 6) Fractal visionaries and enthusiasts: To get a fair assessment of the many formulas in Fractint, it would be necessary to spend at least a month with each one, and not the mere hour or so that I am now spending. But even an hour can give a basic idea of what a formula has to offer, and besides, if I were to spend a month with each formula, it would be quite a few years before I finished the Fractint tour. Today's image takes us to the complexnewton formula. This formula works the same as the complexbasin formula that created yesterday's image, but instead of coloring the points according to which root they converge on, today's formula colors the points according to how many iterations it takes for the points to reach the root. Since we are searching for an imaginary root in today's image, we find an infinity of complex solutions waiting for us, arranged in a truly fractal pattern. Regardless of how deep we search, there are always an infinity of similar smaller basins and their roots ahead of us. Since the process is unending and the detail appears to change little, I stopped my search at a relatively shallow depth when I found today's scene. Actually, there is nothing unusual about today's scene. With small variations, the entire parent fractal, which is infinite in size, looks the same as the tiny part visible in today's image. This parent very graphically displays the infinite multi-dimensional spiral that results because of the multi-valued functions used in the calculation. When the time arrived to give my latest creation a name, I studied the image for nearly 10 minutes. Then, for some reason, I started imagining lobsters in the image. I named the picture "Vision of Lobsters". Thanks to its brilliant coloring, the image is rated higher than the recent ones. I decided on a rating of 6, which the render time of 1 minute and 23 seconds raises to an absolute value of a respectable 429. Skipping over the diffusion fractal type, which draws fractal trees, and the dynamic type, which draws diamonds, tomorrow's image will explore the 'escher' fractal, which does strange things with Julia sets. Exactly how strange these things are will have to wait until tomorrow to be determined. Today's image may be seen by running the included parameter file or by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Monday was slightly breezy and chilly here at Fractal Central. The temperature never rose above 62F 17C, but the duo of fractal cats braved the harsh outdoors for all of 1/2 hour. I braved the harshness by sitting in front of my fractal-dedicated computer and seeing what I could wring out of the complexnewton formula. Today is starting less harsh; I expect more bravery from the cats. The next FOTD will appear in 24 hours. Until then, take care, and when life gets harsh, soothe yourself with a fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Vision_of_Lobsters { ; time=0:01:23.92--SF5 on a P200 reset=2003 type=complexnewton center-mag=+0.794221\ 4425060987/+0.02949640821997954/550.0325/1/-15/1.3\ 616607841e-012 params=0/-10/1/0 float=y maxiter=500 bailout=9 inside=0 logmap=12 periodicity=0 passes=1 colors=000Qp_Om_NjYJgXIdVGaVEZTDWR9TQ8QQ6NO4LN2HL0\ CL08J03I00G00I00G00G40G91GG1GL2GQ2GX4Ea6Eg6El8Es8E\ x9Ez4Dz9EzDGzGGzJIzNJzQJzTLzXNz_NzbOzfQzhQziQzKqzQ\ lzRizVfzXbz__zaXzdTzfQziNzkJznEzpBzs8zt4zx1zz0zz0z\ z0zz0zz0zz0zz0zz4zzGzxRztbzsnzslztkztgzwfzwdzxazx_\ zzYzzXzzTzzRzzQzzNzzLzzJzzIzzEzzDzzBzz8zz6zz4zz2zz\ 0zz0zz0zz0zz0zz0zz1zz4zz8zzBzzEzzIzzJzzNzzQwzTtzXq\ z_nzbkzfhziexkgxnkwqnwtqtxstzwszzszzqzzqzzszxszwtz\ stwqwsnwpkxkixgfzddzapdLzJ4z00z00z40z80zD0zG0zL0zO\ 0zT0zY0za0zf0zi0zn0zl0zq0zw0tz0lz0fz0Yz0Rz0Tz0Tz0T\ z0Vz0Vz0Vz0Vz0Xz0Xz0Xz0Xz0Yz0Yz1Yz2Yz4_z4_z6_z8_z9\ azBazBazDazEbxGbwIbwIdtJdtLdsNdsOfqOfqQfpRfpTgnVgn\ VglXglYik_ikaiiaiibkgdkgfkfgkfgldflbdnabn_apYapY_q\ XYqVXsTXsRVtQTtQRwOQwNQxLOxJNzILzILzGJzEIzDGzBEz9E\ z9Dz8Bz69z49z28z16z14z02z02z01z00z00z00zQ0xt0ts0sq\ 2qp6pp8lnBklEYxdXtdTqbRpa } END PARAMETER FILE=========================================

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FOTD 11-10-04 (The Right Root [5])
by Jim Muth 11 Oct '04

11 Oct '04

FOTD -- October 11, 2004 (Rating 5) Fractal visionaries and enthusiasts: The Newton formulas are not really escape-time formulas, but they work in much the same way. Today's image was created by the complexbasin Newton formula. This formula uses Newton's method of finding roots, and colors the points according to which complex root they converge on. In the Newton's fractals, much of the interest lies where areas of different colors appear to touch. The different colors do not actually touch however, they merely exist close to each other. At every color boundary a fractal pattern exists that separates the colors. This pattern exists even at the smallest scales. Since I have done very little exploration in the Newton's formulas, I am not familiar with the things they can do. They certainly can do more than I have done with today's image, where I have used negative and imaginary parameters, and rendered it with the outside set to 'fmod'. Even the little bit I have done rates a 5 however. Maybe when my tour of the built-in Fractint formulas is finished, I will return to the Newton's formulas for further exploration. I can see by the sharp cut in the image that it is but one level of an infinite spiral, much like the branch- cut fractals I often work with, though in this case, it appears that the unseen levels would appear similar. All things considered, I rated the image at a 5. I named it "The Right Root" for no particular reason. Due to the render time of only 19 seconds, the rating of 5 leaps to an incredible and grossly inflated 1534. The completed image is or soon will be available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The perfect weather here at Fractal Central on Sunday kept the cats relatively happy. They would have been perfectly happy if we had not gone out in the afternoon and brought them inside. But half a perfect day is better than no perfect day, and when we returned in the evening, they ran to greet us as eagerly as ever. Today is starting almost perfect. Only a chilly tempera- ture of 48F 9C is keeping it from being absolutely perfect. For me, being caught up in the commercial work leaves that much more time for fractal work. The next fractal will appear in 24 hours. Until then, take care, and be on the lookout for the fractal UFO's. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Right_Root { ; time=0:00:19.56--SF5 on a P200 reset=2003 type=complexbasin passes=1 center-mag=-0.174754/-1.0781/0.5577863/1/137.5/-2.\ 50563458870090017e-014 params=-6.3/2/-0.5/0 float=y maxiter=500 bailout=9 inside=bof61 proximity=3 outside=fmod periodicity=0 colors=O0U0zzPkSQlUSnXTq_Ur`YlhagofawiXzdaw`grWllS\ qgMu`HzWAzP5zIMzPYzTkuXur`tratrctrdsrfsrgsrhsrhrri\ rrkrrlqrmqrnqronzmownqrormqshqtcruYszYroNtyHuzAwz6\ zz5zz5yz5wx5ut2sr2ro2om2ni0lg0kd0ha0g`6f_Cd_HdYMcX\ QcXUaWY`Ua`hzPizNizMizKizKizIizHizFixFizDisCihAioA\ hmCgkDfhFdfHccIa`KaYK`WM_TNYQPXNQWKSQI0TH6UHHWHSXH\ _YFh_Fo`FxU5zX8z_CzaFzcIzfMzhPzkSzlUznXzq_zsaywXzu\ _zuaztcytfwshtsiqrlnmrfoohqnkrmltlnukqwiryhtzfwzdx\ zczzazz`zz_zzYzzXzzUzz_zzKuq6muNlsMgoKamIXiFSgDMcC\ F`A8YCFWCMTCSQCWNC`MDfIDkFDnCDs8Dx06z6DzDIzIPyPTxT\ YwYawagugktkososruuttwsswrsxrrxqqyoqyooznnzmnzmmzl\ ozrnzonzmmzlmxiltglqfkmclddkgckhakiakl`km`kn_koYir\ YisXitXiuWixUiyUizTizTgnKd`A`F0cM0dQ5gWAh_DkdIlhMm\ lQoqTqtXsy_tzctzduzfuzgwxhwthxqixlkxhkydly_mzWnzSn\ zMozHqz0zz5xz8tzCqzFmyKiwNfuQ`sTXrXTq_PnaKmdFYIDui\ 8lgAcfCTcDH_CIaFKdIMfMNhP } END PARAMETER FILE=========================================

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Zoom into Jim's FOTD 'Twinship' looking for the *start* of the negative real axis split
by Hal Lane 10 Oct '04

10 Oct '04

############################################################ Jim Muth's October 10, 2004 FOTD, 'Twinship' "...splits along [the Mandelbrot set's] negative real axis." "How does the set behave where the split 'begins'?" was the question that immediately came to mind. So I did some zooms into his FOTD where that seemed to occur. Here is the result of that exploration. The color map has been rotated to bring out both the linear and the curved tendril shapes in the image. Where the split in the the Mandelbrot set's negative real axis happens is shown pretty clearly. There happen to be no substantial miniature Mandelbrot sets at this particular magnification, but that allows the other elements of the fractal to be the central features of the image. In an effort to entice you into creating this quickly- drawn fractal I will give a rough description. The overall figure is somewhat dark and bloody, with malevolent medusa-like tendrils dominating the image. This effect is somewhat relieved by the delicate grass-green filigree spine 'supporting' the bloody medusa. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START PARAMETER FILE====================================== Twinship2 { ; Hal Lane Oct 10,'04 3:17 P400 1024x768 ; Zoom into Jim Muth's Oct 10, '04 ; FOTD. Color map rotated to bring out ; both linear and curved tendril shapes. reset=2003 type=cmplxmarksmand passes=1 center-mag=-1.05228911985626800/-0.00000000000000001\ /1241177/1/-90/3.88578058618804789e-016 params=0/0/1.0955/0 float=y maxiter=4500 bailout=1000 inside=0 logmap=34 periodicity=10 colors=000hvx<4>mvnnvlovj<3>swrtwtuxvvyv<3>zzlzzizzf\ <2>zzZzzdzzXzzPzzC<3>zzX<7>zzgzzizzj<2>zznzzpzzo<5>z\ zozzozzo<3>zzo<3>zzbzz_zzX<2>zzO<2>zzb<6>zzlzznzzo<2\ >zztzzuzzy<3>zzmzzjzzgzzdzze<3>zz_zzYzzX<3>zzRYvl<3>\ SobRm_PkYOiVKjM<3>WbkZ`mdYm<3>WbmTdmRemPdoAcpHcnNciU\ ccYcY_ZZaU_bR`<3>iadjdelgfmjgomhpnipoiok`ojXohS<2>iV\ VoTX<3>`QTXPSSMQ<4>XSRYURZVR<2>aYRaZR``Q<3>XfPWhOVjO\ UkNTmNLpDPqISnNVjSZeXaaabIQcQYdYehakgdmedl<3>HdT8cN<\ 7>QjRSkSUlS<3>apUdqS<3>apZ`o``oa_occraatc_odYme<3>Qm\ iOmjMmkKmlImm<3>PmjRmiTmh<2>Ymfcmi<3>UmcSmaPm`<3>GmV\ EqUWuc_xscvz<3>gvz } END PARAMETER FILE========================================= Jim's original fractal: START PARAMETER FILE======================================= Twinship { ; time=0:03:00.92--SF5 on a P200 reset=2003 type=cmplxmarksmand passes=1 center-mag=-1.05052918274505500/0/378.5591/1/-90/\ 3.88578058618804789e-016 params=0/0/1.0955/0 float=y maxiter=4500 bailout=1000 inside=0 logmap=34 periodicity=10 colors=000YvlWtjVrgUqeSobRm_PkYOiVKjMNhTQfZTdeWbkZ\ `mdYma_m_`mYamWbmTdmRemPdoAcpHcnNciUccYcY_ZZaU_bR`\ dUaeXbgZciadjdelgfmjgomhpnipoiok`ojXohSmcTk_UiVVoT\ XkSWgRVdRU`QTXPSSMQTORUPRVQRWRRXSRYURZVR_WR`XRaYRa\ ZR``Q_bQZcPYePXfPWhOVjOUkNTmNLpDPqISnNVjSZeXaaabIQ\ cQYdYehakgdmedl_dgTdbNdYHdT8cNBdODeOFfPHgPJhQLiQNj\ RQjRSkSUlSWmTYnT_oUapUdqScpUbpWbpXapZ`o``oa_occraa\ tc_odYmeWmfUmgSmhQmiOmjMmkKmlImmKmlMmkOmjPmjRmiTmh\ UmhWmgYmfcmi`mgZmfWmdUmcSmaPm`NmZLmYImWGmVEqUWuc_x\ scvzdvzevzfvzgvzhvxivvjvtkvrlvpmvnnvlovjpvlqvnrvps\ wrtwtuxvvyvwztxzqyznzzlzzizzfzzdzzazzZzzdzzXzzPzzC\ zzIzzNzzSzzXzzZzz_zzazzbzzczzezzfzzgzzizzjzzkzzmzz\ nzzpzzozzozzozzozzozzozzozzozzozzozzozzozzozzkzzhz\ zezzbzz_zzXzzUzzRzzOzzTzzYzzbzzdzzezzgzzhzzjzzkzzl\ zznzzozzqzzrzztzzuzzyzzvzzszzpzzmzzjzzgzzdzzezzczz\ bzz`zz_zzYzzXzzVzzUzzSzzR } END PARAMETER FILE========================================= ########################################################### --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.771 / Virus Database: 518 - Release Date: 9/28/04

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FOTD 10-10-04 (Twinship [5])
by Jim Muth 10 Oct '04

10 Oct '04

FOTD -- October 10, 2004 (Rating 5) Fractal visionaries and enthusiasts: For today's fractal we turn to the cmplxmarksmand formula of Fractint. By adding an exponent to C, this formula is capable of doing some very rude things to the classic Mandelbrot set, from tearing it apart to turning it inside out. But for today's fractal we have gone easy on the set, merely giving it a slight split along its negative real axis. Though the cmplxmarksmand formula can draw some very curious variations of the M-set, they are still variations of the same set. The interesting fractals are all on the surface. Except along the line where the fractal splits, the depths of the fractals created by this formula are identical to those of the M-set itself. To create today's image, I have taken a midget on a filament extending from a sub-bud on the south shore of the largest bud of the M-set and caught it at the point where both it and its twin on the north shore have just emerged from limbo and are just splitting apart. The result is a curious siamese-midget kind of effect, with both halves sharing the same main-stem midget, and appearing to be in a fight over it. Since such an effect is one of the simplest things to do with this formula, and also the first thing that comes to mind, I could rate the image no higher than a 5. The render time of 3 minutes gives an overall value of 166. The task of rendering the image from the included parameter file may be avoided by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The partly cloudy but hazy skies and temperature of 73F 23C here at Fractal Central on Saturday were good enough to let the fractal house-cats enjoy an afternoon of remaining nearly invisible in the brush at the bottom of the yard. Something in the neighborhood appeared to have then skittish, but when meal time came, they were out of the brush and into the kitchen in less than a minute, eating vigorously. Today's weather is starting the same as yesterday's, though the haze has blown away. I expect another peaceful day for the cats. For me the day looks uneventful, that is if I can talk my way out of the trip to one of the local antique emporiums that the fractal lady is planning for this aftertnoon. Regardless of what happens, the next FOTD fractal will appear in 24 hours or so. Until that moment of triumph, take care, and where did all the angels go? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Twinship { ; time=0:03:00.92--SF5 on a P200 reset=2003 type=cmplxmarksmand passes=1 center-mag=-1.05052918274505500/0/378.5591/1/-90/\ 3.88578058618804789e-016 params=0/0/1.0955/0 float=y maxiter=4500 bailout=1000 inside=0 logmap=34 periodicity=10 colors=000YvlWtjVrgUqeSobRm_PkYOiVKjMNhTQfZTdeWbkZ\ `mdYma_m_`mYamWbmTdmRemPdoAcpHcnNciUccYcY_ZZaU_bR`\ dUaeXbgZciadjdelgfmjgomhpnipoiok`ojXohSmcTk_UiVVoT\ XkSWgRVdRU`QTXPSSMQTORUPRVQRWRRXSRYURZVR_WR`XRaYRa\ ZR``Q_bQZcPYePXfPWhOVjOUkNTmNLpDPqISnNVjSZeXaaabIQ\ cQYdYehakgdmedl_dgTdbNdYHdT8cNBdODeOFfPHgPJhQLiQNj\ RQjRSkSUlSWmTYnT_oUapUdqScpUbpWbpXapZ`o``oa_occraa\ tc_odYmeWmfUmgSmhQmiOmjMmkKmlImmKmlMmkOmjPmjRmiTmh\ UmhWmgYmfcmi`mgZmfWmdUmcSmaPm`NmZLmYImWGmVEqUWuc_x\ scvzdvzevzfvzgvzhvxivvjvtkvrlvpmvnnvlovjpvlqvnrvps\ wrtwtuxvvyvwztxzqyznzzlzzizzfzzdzzazzZzzdzzXzzPzzC\ zzIzzNzzSzzXzzZzz_zzazzbzzczzezzfzzgzzizzjzzkzzmzz\ nzzpzzozzozzozzozzozzozzozzozzozzozzozzozzozzkzzhz\ zezzbzz_zzXzzUzzRzzOzzTzzYzzbzzdzzezzgzzhzzjzzkzzl\ zznzzozzqzzrzztzzuzzyzzvzzszzpzzmzzjzzgzzdzzezzczz\ bzz`zz_zzYzzXzzVzzUzzSzzR } END PARAMETER FILE=========================================

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FOTD 06-10-04 (Scrap Fractal [4])
by Jim Muth 10 Oct '04

10 Oct '04

FOTD -- October 06, 2004 (Rating 4) Fractal visionaries and enthusiasts: Today's fractal image, created by the barnsleym1 formula, resembles little more than a texture. In fact, it is hardly a texture. The image could more accurately be described as resembling a patch of pollution floating on the surface of a pond, or even something unmentionable. I named the image "Scrap Fractal" during a moment of kindness. One thing the image has going for it is the fact that I know of no other formula that could produce such chaotic chaos. Of course, I say this while having yet to examine the other two Barnsley Mandelbrot formulas, so I cannot state it as a fact. The default image drawn by the barnsleym1 formula has XY-axis symmetry, but no signs of midgets. Changing the starting point from 0,0 results in fractals without symmetry, which could be considered more interesting, but the inner details remain pretty much the same. None of the starting points I tried gave even a hint of a Mandelbrot midget. If such midgets can be created by this formula, they have so far totally eluded me. When coloring the scene I tried the sky-blue-background effect. No coloring can raise a pile of scrap to a jewel, but the sky- blue emphasized the forces working in the debris and raised the rating from a shameful 3 to a below-average 4. The render time is once again very fast. All the Barnsley formulas are fast. Today's render time of 1 minute and 50.78 seconds lets the overall value of the image come in at a whopping 216, a high enough value to make running the included parameter file practical. The completed image is or soon will be available for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I found only a few minutes to browse the Sep-Oct issue of 'Skeptical Inquirer' magazine yesterday, but one thing I did notice was an unfavorable (no surprise) review of the cult-like movie 'What the Bleep do we Know?'. The review is actually more of an attack on the film's producers, who are portrayed as new- age kooks, than a refutation of its content, which apparently connects quantum mechanics with mysticism. This leads me to take the film more seriously. If the film's content were total kookiness, CSICOP, which publishes S.I. magazine, would have pointed out its scientific errors, and would not have needed to attack the character of its producers. Actually, the more I read this magazine, which sometimes seems almost desperate in its denial of the paranormal, the more I become convinced that precognition is not the only paranormal thing that really does exist. I must search to see if the film has a web site. Despite the temperature of only 59F 15C and chilly winds here at Fractal Central on Tuesday, the duo of cats had a pleasant day. Thomas actually tried to make friends with the new guy on the block -- a grey-and-white cat from three doors down the hill -- but the other cat sneaked off. Tippy watched the lack of action with dis-interest. Today is starting quite chilly, but the wind has abated and the sun is bright. I expect a warmer afternoon. For me the work is still light, which promises as good a fractal as I can find in the second Barnsley Mandelbrot formula. That image will appear in 24 hours. Until then, take care, and don't doubt that fractals are good for your health. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Scrap_Fractal { ; time=0:01:50.78--SF5 on a P200 reset=2003 type=barnsleym1 passes=1 center-mag=+1.00799251309293500/-0.278523022206538\ 00/419.8787/1/-90/3.88578058618804789e-016 params=0/0.7 float=y maxiter=2000 bailout=9 inside=255 logmap=101 periodicity=10 colors=000G49H4AI4BJ4CK4DL4EM4FN4GO4HP4IQ4JR4KS4LT\ 4MU4NW4NY4S_4Pa4Nd4Kf4Ih4Gj4Dl5Bm69k78j78i88g88f98\ f98e98dA8dA8bB8bB8aC8aC8_C8_D8ZD8YE8YE7YF7XF7XF7XG\ 7WG7WH7WH7WH7VI7VI7VJ7UJ7UK7UK7TK7TL7TL6SM6SM6SN6S\ N6RN6RO6RO6QP6QP6QQ6PQ6PQ6PR6OR6OS6OS6NR7OS6OS6PT6\ PT6PU6QU5QV5RV5RW5RW5SX5SX4TY4TY4TZ4UZ4U_4V_3V`3V`\ 3Wa3Wa3Wb3Xb2Xc2Yc2Yd4Yd6Ze8ZeA_fC_fE_gG`gI`gKagMa\ gOagQbgSbgUbgWcgYdg_egafgcggehggigijgkkgmlgmmgmngm\ ngmogmpgmqgmrgmsgmtgmugmvgmwgmxgmygmzgmzgmygmxgmwg\ mvgmugmtgmsgmrgmqgmpgmogmngomgqlgtlgwkgzjgzigzhgzg\ gzfgzegzdgzcgzbgzagz`gz_gzZgzYgzZgqZgzZgzZgzZgzZgz\ ZgzZgzZgzZgzZgzZgzZgzZgzZgzZgzZgzZgzZgzZgzZgzZgzZg\ zZgzZgzZgzZgzZgzZgzZgzZgzZgzZgzZgzZgzZgzZgzZgzZgzZ\ gz_gz_gz_gz_gz_gz_gz_gz_gz_gz_gz_gz_gz_gz_gz_gz_gz\ _gz_gz_gz_gz_gz_gz_gz_gz_gz_gz_gz_gz_gz_gz_gz_gz_g\ z_gz_gz_gz_gz_gz_gzwgzkgz } END PARAMETER FILE=========================================

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Re: Q Jim's FOTD 09-10-04 (Julia Snake [5])
by Jim Muth 10 Oct '04

10 Oct '04

At 05:42 PM 10/9/04 -0400, Hal lane wrote: <snipped> >Can you confirm that this FOTD [Julia Snake] >is not likely to have any Mandelbrot sets >hidden in it? Yes. I can confirm with 100 percent certainty that the "Julia Snake" image has no true Mandelbrot midgets hidden in it. The image is a Julia set, and Mandelbrot-type midgets are impossible in Julia sets. It well might have open areas of various shapes hidden somewhere in it, and some of these open areas may resemble Mandelbrot midgets, but if so, the resemblance is coincidental. The object is not a Mandelbrot midget. Next FOTD in about 12 hours. Jim M.

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Q Re Jim's FOTD 09-10-04 (Julia Snake [5])
by Hal Lane 09 Oct '04

09 Oct '04

########################################################## Jim, There is a nice balanced overall shape to your FOTD 09-10-04 (Julia Snake). I, like you, am always on the lookout for miniature Mandelbrot sets. A couple of zooms into the center of symmetry of you FOTD and elsewhere did not bring to light anything that I thought might lead to a mini Mandelbrot set. I found more and more spirals and chaotic areas rendered at slower and slower speeds. Can you confirm that this FOTD is not likely to have any Mandelbrot sets hidden in it? <---<< I am trying to slowly build my ability to recognize areas in fractals that have potential for interesting structures in them -- and I am asking if you agree with my conjecture above. I have included a version of your FOTD using the Leather Gem color map. - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # ######################### Jim Muth's FOTD Oct 9, '04 with Damascena Korwen's Leather Gem color map (rotated): START PARAMETER FILE======================================= Julia_Snake2 { ; Hal Lane Oct 09,'04 1:32 P400 1024x768 ; Jim Muth's FOTD Oct 9, '04 with ; Damascena Korwen's Leather Gem ; color map (rotated). reset=2003 type=cmplxmarksjul passes=1 center-mag=-4.44089e-016/4.44089e-016/0.9991767/1/-4\ 0/-2.50563458870090017e-014 params=-0.781/0/0.95/0 float=y maxiter=3000 bailout=9 inside=0 logmap=yes periodicity=10 sound=off colors=YD0I10<14>TA2TA2UB2UB2VC2<3>YE3<3>Q82O61M41<3\ >Q71R81S91fM5<3>iO5jP5kQ6<7>YE4WD3UB3S92Q82<3>I10931\ A00<3>VK0_P0dU0<3>zm0<3>zb0z_0zX0zU0<3>`F0UC0O80H40<\ 2>A4773A73C<3>56K47M48O39Q2AS<8>9QaASbATc<3>E`hFbiGd\ i<3>JklKmmJkj<8>BSOAQM9OJ<2>6GB5E86G9<9>EWHFYIGZJ<2>\ JdMKfNLhM<6>enBhoAkp8<3>wt1<6>Zf8Vd9SbA<3>DVF<4>CPCC\ NBCMA<2>BI9BH8BH8<3>AE79D6DE6<3>UI9YJAaLBeMCgODjQF<9\ >tgGuiGvjG<2>ypGzrFzrK<3>yufxukxvqwww<3>rhh`F0<2>ZD0\ YD0WC0<13>I10 } END PARAMETER FILE========================================= >-----Original Message----- >From: Jim Muth [mailto:jamth@mindspring.com] >Sent: Saturday, October 09, 2004 8:15 AM >To: fractint(a)mailman.xmission.com >Cc: philofractal(a)lists.fractalus.com >Subject: [philofractal] FOTD 09-10-04 (Julia Snake [5]) > >FOTD -- October 09, 2004 (Rating 5) > >Fractal visionaries and enthusiasts: > >Today's fractal was created with the cmplxmarksjul formula of >Fractint, a formula that draws variations of the standard Z^2+C >Julia sets. Today's image is a variation of the very familiar >Seahorse Valley or C=(-0.75) Julia set. > >When the exponent of C is a whole number, the cmplxmarksjul >formula creates images resembling those created by the familiar >Julia formula, though the size of the Julia sets increases as >the value of the exponent is increased. When the exponent is >fractional, the overall shape of the cmplxmarksjul fractals >departs in certain areas quite a bit from the shape of the >fractals created by the familiar Julia formula, though the >smaller inner detail remains unchanged. As is the case with >all the formulas I rarely investigate, I have probably missed >the most interesting possibilities of the formula. > >Continuing the biblical theme of yesterday, I have named today's >image "Julia Snake". I gave it this name not because there is >something evil about it, but because something about it reminds >me of a squirming snake. Snakes are still not the most pleasant >things on earth, so I could rate the image no higher than a 5, >but the very brief render time of 54 seconds raises the rating >to a lofty overall value of 556. > >Tomorrow's image will be a scene in the Mandelbrot aspect of the >same formula. Hopefully, I will find something that rates >higher than a 5. > >As I stated above, today's image takes 54 seconds to render. It >also takes about 54 seconds to download from the FOTD web site >at: > > <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > >The means of viewing the image is left to the viewer. > >Perfect weather Friday, with sun and a temperature of 77F 25C, >made the cats happy. Unfortunately, it did not make Tippy happy >enough to make friends with the new cat in the area. When the >new guy ventured into the yard, Tippy sent him scurrying. Then >Tippy returned to the porch to be greeted by Thomas. > >I expect a rather peaceful day for a change. And peace is what >I need to inspire me to find those elusive great fractals. One >of them might appear tomorrow, then again, it might not. Check >back in 24 hours to see what happens. Until next time, take >care, and remain alert for those angels. > > >Jim Muth >jamth(a)mindspring.com >jimmuth(a)aol.com > > >START PARAMETER FILE======================================= > >Julia_Snake { ; time=0:00:54.10--SF5 on a P200 > reset=2003 type=cmplxmarksjul passes=1 > center-mag=-4.44089e-016/4.44089e-016/0.9991767/1/\ > -40/-2.5056345887009002e-014 params=-0.781/0/0.95/0 > float=y maxiter=3000 bailout=9 inside=0 logmap=yes > periodicity=10 colors=000HTAJV9MY9O`8Rc7Uf7Wi6Zl5a\ > n5cp4fr3hs3frAdpGbnM`lSZjZXhdVfjUdnRblP`hN_dLY`JWX\ > GVUETQCRMAQI8OE5O96NB7MD8LF9KGAJIBIKBILIJNOKOQLQSM\ > RUNRWMSYLT_KTaJUcIUdHVeGVfFWfEWfDXfCXfFYeKYcPaaUe_\ > ZiYcmWhjUmgSrdQqbOp_MpXKpUIpSGoPEoNGnKLnIQmFVmD_lA\ > dl8il6eiCafIZcNV`TRZZOWcKTiGQmDOmEOmFOmGPmXomZlm`j\ > mbgmdemfbmh`mjYmlWmnTmoRmmQmkQmiQmgQmeQmcQmaQm_QmY\ > QmWQmOZmUQmSQmQQmOQmMQmrvmqrmmomilmehmbemZbmVZmRWm\ > NTm7em9cmBamC_mEYmGWmHUmJSmx`mu_mrZmpYmmYmkXmhWmfW\ > mcVm`UmZUmWTmUSmRSmPRmMQmZ1mTmmRimQemOamNYmLUmwQmB\ > OmCPmDPmDPmEPmFPmFPmGPmHQmHQmIQmJQmJQmKQmAFmBGmCHm\ > DImEJmFKmFLmGMmHNmIOmJPmKQm3Un6To9SpCSqFRrIQsgjtcf\ > u_cvW_wSXxOTyxpzojzgez__zSVzlRzjQzhQzfQzdQzbQzaQz_\ > QzYQzWQzUQzTQzRQzPQzNQzLQzIQzJQzJQzKQzHdzIazI_zJXz\ > JVzKSz2wz4sz6pz7mz9jzBgzCdzEazGZzHWzJTz3Iz6Kz9LzCM\ > zFOzIPzYlzWjzVhzUfzTdzSczRazQ_z9EzBHzEKz } > >END PARAMETER FILE========================================= ############################################################ --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.771 / Virus Database: 518 - Release Date: 9/28/04

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FOTD 09-10-04 (Julia Snake [5])
by Jim Muth 09 Oct '04

09 Oct '04

FOTD -- October 09, 2004 (Rating 5) Fractal visionaries and enthusiasts: Today's fractal was created with the cmplxmarksjul formula of Fractint, a formula that draws variations of the standard Z^2+C Julia sets. Today's image is a variation of the very familiar Seahorse Valley or C=(-0.75) Julia set. When the exponent of C is a whole number, the cmplxmarksjul formula creates images resembling those created by the familiar Julia formula, though the size of the Julia sets increases as the value of the exponent is increased. When the exponent is fractional, the overall shape of the cmplxmarksjul fractals departs in certain areas quite a bit from the shape of the fractals created by the familiar Julia formula, though the smaller inner detail remains unchanged. As is the case with all the formulas I rarely investigate, I have probably missed the most interesting possibilities of the formula. Continuing the biblical theme of yesterday, I have named today's image "Julia Snake". I gave it this name not because there is something evil about it, but because something about it reminds me of a squirming snake. Snakes are still not the most pleasant things on earth, so I could rate the image no higher than a 5, but the very brief render time of 54 seconds raises the rating to a lofty overall value of 556. Tomorrow's image will be a scene in the Mandelbrot aspect of the same formula. Hopefully, I will find something that rates higher than a 5. As I stated above, today's image takes 54 seconds to render. It also takes about 54 seconds to download from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The means of viewing the image is left to the viewer. Perfect weather Friday, with sun and a temperature of 77F 25C, made the cats happy. Unfortunately, it did not make Tippy happy enough to make friends with the new cat in the area. When the new guy ventured into the yard, Tippy sent him scurrying. Then Tippy returned to the porch to be greeted by Thomas. I expect a rather peaceful day for a change. And peace is what I need to inspire me to find those elusive great fractals. One of them might appear tomorrow, then again, it might not. Check back in 24 hours to see what happens. Until next time, take care, and remain alert for those angels. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Snake { ; time=0:00:54.10--SF5 on a P200 reset=2003 type=cmplxmarksjul passes=1 center-mag=-4.44089e-016/4.44089e-016/0.9991767/1/\ -40/-2.5056345887009002e-014 params=-0.781/0/0.95/0 float=y maxiter=3000 bailout=9 inside=0 logmap=yes periodicity=10 colors=000HTAJV9MY9O`8Rc7Uf7Wi6Zl5a\ n5cp4fr3hs3frAdpGbnM`lSZjZXhdVfjUdnRblP`hN_dLY`JWX\ GVUETQCRMAQI8OE5O96NB7MD8LF9KGAJIBIKBILIJNOKOQLQSM\ RUNRWMSYLT_KTaJUcIUdHVeGVfFWfEWfDXfCXfFYeKYcPaaUe_\ ZiYcmWhjUmgSrdQqbOp_MpXKpUIpSGoPEoNGnKLnIQmFVmD_lA\ dl8il6eiCafIZcNV`TRZZOWcKTiGQmDOmEOmFOmGPmXomZlm`j\ mbgmdemfbmh`mjYmlWmnTmoRmmQmkQmiQmgQmeQmcQmaQm_QmY\ QmWQmOZmUQmSQmQQmOQmMQmrvmqrmmomilmehmbemZbmVZmRWm\ NTm7em9cmBamC_mEYmGWmHUmJSmx`mu_mrZmpYmmYmkXmhWmfW\ mcVm`UmZUmWTmUSmRSmPRmMQmZ1mTmmRimQemOamNYmLUmwQmB\ OmCPmDPmDPmEPmFPmFPmGPmHQmHQmIQmJQmJQmKQmAFmBGmCHm\ DImEJmFKmFLmGMmHNmIOmJPmKQm3Un6To9SpCSqFRrIQsgjtcf\ u_cvW_wSXxOTyxpzojzgez__zSVzlRzjQzhQzfQzdQzbQzaQz_\ QzYQzWQzUQzTQzRQzPQzNQzLQzIQzJQzJQzKQzHdzIazI_zJXz\ JVzKSz2wz4sz6pz7mz9jzBgzCdzEazGZzHWzJTz3Iz6Kz9LzCM\ zFOzIPzYlzWjzVhzUfzTdzSczRazQ_z9EzBHzEKz } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 08-10-04 (Fighting Angels [5])
by Fr. Jim Lacasse 08 Oct '04

08 Oct '04

Fractal friends, Is it just me, or has Paul gotten behind in posting Jim's FOTD's. When I click on the link I see nothing after Oct 3. Jim LaCasse >>> jamth(a)mindspring.com 10/08/04 07:14AM >>> FOTD -- October 08, 2004 (Rating 5) Fractal visionaries and enthusiasts: Do angels exist? The stories of them are certainly widespread enough. But are angels real? Are there unseen intelligent entities walking and flying among us, consisting perhaps of some exotic undetectable form of energy, or are such stories mere inventions of our ancestors' minds -- a primitive psychological attempt to understand and make sense of the natural mysteries around us? Being a mostly rational person, I would have chosen the natural explanation. But that was before I saw today's image. Today's fractal shows two angels engaged in a fight. Since angels have no bodies, only the angels' hair is visible, but wow!, how that hair is flying about! All this brawling caused me to name the image "Fighting Angels". The barnsleym3 formula was needed to reveal the struggling angels. Everything this formula does seems to be stretched out into four-dimensional angel hair. I chose to examine a point very close to the negative X-axis, where the stretching is particularly severe. After unstretching the area, I discovered the fighting angels themselves. Since seeing angels is a very rare event, I rated today's image at an average 5. If the angels' bodies had been visible, the rating would have been considerably higher. But angels can move very fast when they want to, and today's image needed to be fast to capture them. The render time of just over 5 minutes results in an overall value of 92. As almost always, the completed GIF image will soon be available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The angels will show you the way. An absolutely perfect day here at Fractal Central on Thursday, with full sun and a temperature of 75F 24C, did not go un- noticed by the dynanic duo, who enjoyed almost seven hours in the yard. And the new cat on the block stayed where he belongs, which relieved the duo of the task of guarding their territory. The day ended peacefully after a good meal of seafood treat. My day was almost as good. Only the average rated fractal kept it from being near-perfect. Today is a new day however, and it is starting as pleasantly as yesterday. If things go as planned, the fractal I find will rate a 9 or 10. If not, a 5 or 6 will have to do. Until tomorrow, same time same place, take care, and my real beliefs about angels will remain a mystery -- at least for now. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fighting_Angels { ; time=0:05:25.76--SF5 on a P200 reset=2003 type=barnsleym3 passes=1 symmetry=none center-mag=-1.14404228005046600/-0.000004878403788\ 43/193338/74.266 params=0/0 float=y maxiter=1000 bailout=9 inside=255 logmap=20 periodicity=10 colors=000UPJUPIUPKUPLUPNUPOUPQUPRUPTUPUUPWXPX_U_b\ ZbecehhhkmknrnpwqrrttmwvhzrcwpZtnUqlZnjckhhhmmerrb\ vvdzzzzzbzzzzzazzzzz_zzzzzZzzzzzXzzzzzWzzzzzUzzzzz\ TzzzzzWzzzzzYzzzzz_zzzzzbzzzzzdzzzzzfzzgzzhzzizzkz\ zlzzmzznzzozzpzzqzzrzzszzszztzztzztyzuxzuwzuvzvuzv\ tzvszwrzwqzwpzxozxnzxmzylzykyyjxziwzhvzguuftpcskar\ f_qbZraZraZraYraYraYraXraXraXraWraWraWraVraVraVraU\ raUraUraTraTraTraSraSraSraRraRraRraRrazzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzUlt } END PARAMETER FILE========================================= _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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FOTD 08-10-04 (Fighting Angels [5])
by Jim Muth 08 Oct '04

08 Oct '04

FOTD -- October 08, 2004 (Rating 5) Fractal visionaries and enthusiasts: Do angels exist? The stories of them are certainly widespread enough. But are angels real? Are there unseen intelligent entities walking and flying among us, consisting perhaps of some exotic undetectable form of energy, or are such stories mere inventions of our ancestors' minds -- a primitive psychological attempt to understand and make sense of the natural mysteries around us? Being a mostly rational person, I would have chosen the natural explanation. But that was before I saw today's image. Today's fractal shows two angels engaged in a fight. Since angels have no bodies, only the angels' hair is visible, but wow!, how that hair is flying about! All this brawling caused me to name the image "Fighting Angels". The barnsleym3 formula was needed to reveal the struggling angels. Everything this formula does seems to be stretched out into four-dimensional angel hair. I chose to examine a point very close to the negative X-axis, where the stretching is particularly severe. After unstretching the area, I discovered the fighting angels themselves. Since seeing angels is a very rare event, I rated today's image at an average 5. If the angels' bodies had been visible, the rating would have been considerably higher. But angels can move very fast when they want to, and today's image needed to be fast to capture them. The render time of just over 5 minutes results in an overall value of 92. As almost always, the completed GIF image will soon be available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The angels will show you the way. An absolutely perfect day here at Fractal Central on Thursday, with full sun and a temperature of 75F 24C, did not go un- noticed by the dynanic duo, who enjoyed almost seven hours in the yard. And the new cat on the block stayed where he belongs, which relieved the duo of the task of guarding their territory. The day ended peacefully after a good meal of seafood treat. My day was almost as good. Only the average rated fractal kept it from being near-perfect. Today is a new day however, and it is starting as pleasantly as yesterday. If things go as planned, the fractal I find will rate a 9 or 10. If not, a 5 or 6 will have to do. Until tomorrow, same time same place, take care, and my real beliefs about angels will remain a mystery -- at least for now. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fighting_Angels { ; time=0:05:25.76--SF5 on a P200 reset=2003 type=barnsleym3 passes=1 symmetry=none center-mag=-1.14404228005046600/-0.000004878403788\ 43/193338/74.266 params=0/0 float=y maxiter=1000 bailout=9 inside=255 logmap=20 periodicity=10 colors=000UPJUPIUPKUPLUPNUPOUPQUPRUPTUPUUPWXPX_U_b\ ZbecehhhkmknrnpwqrrttmwvhzrcwpZtnUqlZnjckhhhmmerrb\ vvdzzzzzbzzzzzazzzzz_zzzzzZzzzzzXzzzzzWzzzzzUzzzzz\ TzzzzzWzzzzzYzzzzz_zzzzzbzzzzzdzzzzzfzzgzzhzzizzkz\ zlzzmzznzzozzpzzqzzrzzszzszztzztzztyzuxzuwzuvzvuzv\ tzvszwrzwqzwpzxozxnzxmzylzykyyjxziwzhvzguuftpcskar\ f_qbZraZraZraYraYraYraXraXraXraWraWraWraVraVraVraU\ raUraUraTraTraTraSraSraSraRraRraRraRrazzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzUlt } END PARAMETER FILE=========================================

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FOTD 07-10-04 (Domed Windows [6])
by Jim Muth 07 Oct '04

07 Oct '04

FOTD -- October 07, 2004 (Rating 6) Fractal visionaries and enthusiasts: I have been a bit disappointed by my adventures so far in the Barnsley formulas. Maybe the reason is that they do not seem to produce Mandelbrot midgets, which are my specialty. What they do produce is mostly the kind of images I pass by while using the MandelbrotMix or BranchCut formulas. Then maybe I am under- estimating these formulas. After all, Barnsley considered them good enough to include in his book "Fractals Everywhere" where they first appeared. I might do better with them if I read the book. Today's image, which was created by the barnsleym2 formula, is totally a result of my effort. I created and am totally respon- sible for the coloring, good or bad as it may be. The fractal program is innocent of any wrongdoing. The image is basically a different aspect of the "Metropolis" fractal of Oct 2, which was created by the barnsleyj1 formula, but instead of resembling an aerial view of a city street grid, it resembles a view looking up into a windowed dome, with brilliant sunlight streaming through. I named the picture "Domed Windows" accordingly. I rather like the hazy effect, and was tempted to give the image a rating of something like an 8. But since the picture was created almost entirely by me, such a rating would have shouted, "Jim the Great and Magnificent Fractalist!" I do not consider myself a great fractalist, only a stubbornly persistent one, so I rated the image at a more conservative 6, which is still better than the recent FOTD's. The October fractals, though not great, have so far been very speedy indeed. With its render time of only 17 seconds, today's image continues the lightning trend. The fast render time gives today's image an exaggerated overall value of 2091. Fast as it may be, the render time can be eliminated entirely by download- ing the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Wednesday started perfect, stayed perfect, and ended perfectly perfect here at Fractal Central. The cats, who like things perfect, were perfectly happy. True, things got a bit tense when the new cat on the block wandered into the yard, but as soon as Tippy went into fighting mode and started toward the intruder with back arched and tail bristled, the other cat quickly retreated. As usual, Thomas merely watched. The day ended with two happy cats enjoying their Fancy Feast cat food. Today is promising to be even more perfect, if such a thing is possible. With the commercial work completely caught up, my day was also perfect -- well maybe not absolutely perfect but near-perfect. A perfect 10-rated fractal would have been necessary to make the day absolutely perfect. The next fractal will appear in 24 hours, and I will likely have a few kind words to say about it. Until that moment arrives, take care, and watch where you wander in the world of fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Domed_Windows { ; time=0:00:17.20--SF5 on a P200 reset=2003 type=barnsleym2 passes=1 periodicity=10 center-mag=-0.00346218/1.48287/35.15813/1/22.5/1.5\ 3051182838481736e-013 params=-0.6/-1.3 float=y maxiter=500 bailout=1000 inside=0 logmap=yes colors=000WVLUTMSRNQQOOOPMNQKLRIKSGITEHUCFVAEW8CX6\ BY49Z38Z69W9AUBBQECRHESJGTMIUNKVOMXPNZQOaRPeSQiTQl\ UXoeczfizgrzhwzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzz000000000000\ 00000000000000000000000000000000000000000000000000\ 0000000000000000000000000 } END PARAMETER FILE=========================================

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FOTD 29-09-04 (A Blobby Fractal [6])
by Jim Muth 07 Oct '04

07 Oct '04

FOTD -- September 29, 2004 (Rating 6) Fractal visionaries and enthusiasts: When today's image appeared on the screen, it took me no more than 10 seconds to think of the name "A Blobby Fractal". The elements filling the screen reminded me of that old movie 'The Blob', one of my favorites. . . . Well, let's admit it, all the junky old movies are my favorites. (That original blob was finally done away with by electrocuting it, or was that how they eliminated 'The Thing'. Maybe I'm remembering wrong and it was 'The Thing' that was electrocuted, and the blob that was frozen. I guess I'll have to play one of my old videotapes.) Today's image is part of the fractal that results when 1/100 part of Z^(-100) is combined with (1/Z) before C is added. This parent fractal at first appears nearly hopeless, consisting of overlapping flat disks with scalloped edges. The few areas of interest appear where the scalloped disks overlap. Today's scene lies in one of these areas. The image is actually a rather attractive one, well worth its rating of an above-average 6. The render time of 10 minutes gives an overall value of 60. The completed image may be down- loaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Clouds moved in on Monday here at Fractal Central, but the rain held off until after dark, giving the fractal cats a full day in the yard. The heavy rain that fell most all day Tuesday caused much flooding in the local area and kept the duo confined to their shelf by the window, uncharacteristically resigned to their fate. Luckily, the fractal basement escaped with nothing more than a puddle along the side wall. Today is starting mostly cloudy and breezy. If no more rain breaks out, the duo will have a marginal day. For me, the serious work is basically caught up. All that needs to be done is to get the workplace in order and to keep things caught up. The next FOTD will appear on Oct. 1, when the every- day schedule will in all probability resume. Until then, take care, and enjoy the endless wonders. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ A_Blobby_Fractal { ; time=0:09:59.01--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=ident passes=1 center-mag=-0.28034401046869440/+0.609333884977504\ 30/5.726332e+007/1/27.5/8.2436568175914271e-008 params=10/-1/0.01/-100/0/0/0/0 float=y maxiter=900 inside=0 outside=tdis logmap=79 periodicity=10 colors=000zzunOwjRwfUwbXwZZwVawRdwNfwJiwFlwBnw7qw3\ tw0ww0yw0zw0ys5xnCwlJuhQtdXsabqYipUppRnmRniRnfSnbS\ `G5aG7bG7eF7fF8hF8iF8lF9mF9nF9pF9tR7xa5zl3zw1nzKZz\ aJzs4zzEzzMzqUzhazZizQqzGyx8wy8uy8ty8sz8qz8nz8mz8l\ z8jz8iz8fz8ez8dz8bz8az8`z8VzBRzCNzEJzFFzIBzJ7zK3zM\ bu8YwBSxCOxFJyGFyI9zK4zM0zO0zQ0zR0yO1wM7tJCqGInENl\ BRh9Xe7ab4f`1lY0qV0uS0pR1lQ8hOEdNKZNQVMXRKaNJhJJmF\ z0QzGZzbhzxewfbsR`n9Zj0dl4hlEllNplYtlfxlpzlynmhbnR\ Qp9Eq0Fs0Gs0Is0Js0Ks0Ms0Ms0Nt1Ot3Qt4Rt5St7Ut8Ut8Xq\ EYpIZmM`lQbjUdhYefafdeibijamlZqmYunXyiUleRZ`QNXN9S\ M0eazfYxhVwiRtjOslMpmInnFlpCjjFmeGn`IpVKqQMsKNtFQu\ 9Rw5Sx1OzIUtXZjjdbbmSXuJOz9zf0zf0zJdzNfzQhzUjzXlz`\ nzbpyesyitxlwxpxwszwuzuqitnSsj9sh0pb0mZ0jV4hR8eMCb\ IG`EKY9NaIRdQVfYYiealmenthpuiqwiswiuxjwxjzyjzylwzl\ uzltyntxptxqswssutsuustwqsxqsyqqzppzppzpnzpnzzzzyz\ ztzElzEdzEXyEOxEGuE8tE0sE } 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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FOTD 05-10-04 (Odds and Ends [4])
by Jim Muth 05 Oct '04

05 Oct '04

FOTD -- October 05, 2004 (Rating 4) Fractal visionaries and enthusiasts: For today's FOTD we turn to the third of the three Barnsley Julia formulas. Unlike the first two formulas, which draw images filled with discontinuities, this formula draws images that are stretched out in a manner very closely resembling the odd-angle slices through the four-dimensional Julibrot, a coincidence that leads me to wonder whether something similar is going on here. Actually, I found the barnsleyj3 formula the least interesting of the three Barnsley-Julia formulas. Most of the images it produces can be approximated by one of the formulas that draws slices in odd directions through the Z^2+C Julibrot figure, or even by some of the warped Mandelbrot sets. But on the other hand, the lack of potential in this formula may be due to my own inexperience in working with it. I doubt that the fault is mine however. When a formula has great potential, such as the MandelbrotMix4 formula, I usually recognize it at once. Perhaps the final word is that, after using the formula for today's image, I doubt that I will ever return to it. But then again, it is not too unusual for me to completely miss great fractals. I named today's image "Odds and Ends". I gave it this name because I could find nothing in it to inspire a more descriptive name. The rating of 4 seems honest, maybe even a bit inflated. The short render time of 41.75 seconds gives an overall value of 575, which means that if you feel you have wasted time and effort by rendering the image, at least it will not be much time. For tomorrow's FOTD I will tackle the barnsleym1 formula. And who knows, I might find something totally unexpected. <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Fractal Central was blessed with another absolutely perfect day on Monday, and I was blessed with very happy cats. Crystal blue skies and a temperature of 75F 24C kept the duo happy all day, while I was kept happy by the lack of a work backup. This morning is starting much chillier however, and I fear the chill wind that is blowing may be too much for the delicate ears of the cats. The next FOTD will appear, almost by magic, at this same place around the same time tomorrow. Hopefully, the image will rate better than a measly 4. If all goes well, I will have today's small amount of commercial work behind me around 3pm, which will give me a chance to browse the 'Skeptical Inquirer' magazine lying on the shelf behind me. Until tomorrow then, take care, and become one with something. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Odds_and_Ends { ; time=0:00:41.75--SF5 on a P200 reset=2003 type=barnsleyj3 center-mag=-0.072271972\ 91838824/+0.65146045304063080/1159.933/0.1106/80/\ -1.60261387494031737e-012 params=0.26/0.27 float=y maxiter=10000 bailout=36 inside=0 logmap=yes passes=1 periodicity=10 colors=000s88p9AnABlBCiCEgCFeDGbEI`FJZGKWHMUINSIOP\ JQKKKLKKIKKGKKFKKKKKPKPUPUZUZcZchchmhmrmrurwrtuott\ mtsjtqmtpptostmutlwtkwtjwthwtgwtfwtdwtcwtbutasr_qp\ ZooYmmWklVijUghTegRceQadP_bOYaMW_LUYKSXJQVHOUGMSFK\ REJWKJ`PJeUKjZKocKthKymJxrJwvJvzJvzIuzItzItzIszHrz\ HqzHqzHpzGozGovGnrGmmFlhFlcFkZFjUEjPEiKEhGDiDEhCEg\ CFfCFeCGdBGcBHbBHaBI`AI_AJZAJYAKX9KW9LV9LU9MT8MS8N\ R8OP7NR8MS8LU9LV9KXAJYAJ_BI`BHbCHcCGdDFfDEgEEiEDjF\ ClFCmGBoGApH7sGAqHCoHEmIGkIJiILgJNeJPdJSbKU`KWZKYX\ L_VLbTMdSMfQMhONkMNmKNoIOqGOuDNsFOrGPpHPoIQnKRlLRk\ MSjNShPTgQUeRUdSVcUWaVW`WXd_b_XXVURQRLLOFGL99D3BI4\ DM5FR6HV6JZ7Lc8Ng9On6Pk9PiBPfEQdGQaIQ_LRYNRVPRTSSQ\ USOXSLZTJ`THcTEeUCgU9jU7lU5nV8mWAlXDkYFjYHjZKi_Mh`\ PgaRfaTfbRhcQjcOkdNmeLoeKpfJrgHtgGuhEwiDyiCzfDudDp\ aDk_DfYEaVEXTESREOUIPWLQYOR_RSaVTcYUe`VgcWigXkjYjU\ 8lR7nN7pK6rG6tD5v95x65u77 } END PARAMETER FILE=========================================

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FOTD 04-10-04 (Fractal Snowstorm [6])
by Jim Muth 04 Oct '04

04 Oct '04

FOTD -- October 04, 2004 (Rating 6) Fractal visionaries and enthusiasts: I see a micro-debate brewing about the rating of the FOTD fractal images. To settle this matter I must state that the fractals have no totally objective accurate ratings. The ratings that I give to a posted image reflect my mood at the time I rate the image. This rating is always correct. Someone else may think more or less of the same image and rate it higher or lower accordingly. This different rating is also correct. The correct rating is whatever one feels when viewing an image. It's kind of a quantum thing, where the observation is part of the thing being observed. Curiously, when I go back in my files and look at my past images, the ratings I would give them are usually quite different. For today's image I returned to the barnsleyj2 formula, but before entering the C-value I checked the Mandelbrot version of the same formula to get some preliminary idea of what might be found in the Julia sets. Though some curious images are to be found when imag(c) is negative, I chose a point near the north- west shoreline of the M-set, with a positive imag(c) value and a negative real(c) value. The resulting Julia set resembles a snowstorm, almost demanding the title "Fractal Snowstorm". The rating of a 6 is above average, but only slightly so. The incredibly fast render time of 10+ seconds is partly due to the origin symmetry, and raises the overall value of the image to an apocalyptic 3333. Rather than running the included parameter file, those with Fractint-handicapped machines may download the completed GIF image from the FOTD web site, which may be found at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A perfect day on Sunday resulted in perfect cats here at F.C. Cloudless skies and a temperature of 73F 23C made outdoor conditions perfect for the duo, who, in addition to canned cat food, thrive on canned tuna, sliced turkey, cheddar cheese, spanish rice, as well as a mystery dish that the fractal lady occasionally prepares, which is officially nameless, but which I refer to as 'gook'. (No one is offended by the name because I mention the mystery dish by name only after finishing a huge serving of it. And it is actually quite good!) Unfortunately, there will be no gook today, but there is enough money-making work to keep me busy for a few hours. And then it's on to Fractal Land, and probably that skeptical magazine. The next FOTD will appear in 24 hours. Until then, take care, and abide in peace, knowing that fractals are everywhere. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Snowstorm { ; time=0:00:10.65--SF5 on a P200 reset=2003 type=barnsleyj2 center-mag=1.11022e-016\ /0/2.606202 params=-1.053990610329/0.72698329853862 float=y maxiter=1200 bailout=25 inside=0 logmap=yes passes=1 symmetry=origin periodicity=10 colors=000GORGOSGOUHOVHOXHOYHOZHO`IOaIOcIOdIOfIOgI\ OhMRjPUlSXnW_oZbqaesehthkvknxnpygnxamxVlxPjwIiwChw\ 6gw5dv5bu5`u4Zt4Wt4Us3Ss3Qr3Nr3Lq2Jq2Hp2Ep1Co1Ao18\ n16nB4WO7f`9pmBzlCwkDtkEqjFoiGliGihHggIdgJafKZeLXe\ LUdMRcNPcOMbPJbPHZSJWUKSWMPYNL`PIbQEdSBfT8hU9eTAcT\ AaTBZTBXSCVSDSSDQSEOREMRFJRGHRGFQHCQHAQI8QI6QG6OZO\ XXHRVAMPKOJTQYKUlBYz2`u3aq3am3ai4ae4aa4aY4aV7_SAZP\ DXNGWKJVHMTEPSCRRDWYE`cEejFjpFovtHJqMInRHkWGh`FfdE\ ecIdcMccQbcUacY`ca_ceZciYcmXcqWcuWcyYbv_bsabpcbneb\ kfbhhbejbclb`nbYobWamcOwjQqkRklSelU_mVUmWOnYIoZCo_\ 6p`0pWArRKtMUvHcxClzKvQLrTMoWNkZNhaOdcPafPYiQVlRRo\ ROqQRnPUlOXjO_hJbjEek9hm4jn9fnEcnI_nNXnRUnWQn_NndK\ nhGnmDnqAnmBmjClgCkcDj`DiYEhVEgRFfOFeLGdIGcJOfJViK\ TgKReLQcLOaLN`MLZMKXNIVNHUNFSOEQOCOOBNRALT9KV8IY7H\ _6Fa6Ed5Cf4Bh39k28m16o15n58n9BmDEmHGlLJlPMlTOcWSWY\ VO`YGb`8ec0gf1egFOMGOOGOP } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 25-09-04 (Peacock-Tail Eyes [4])
by Fr. Jim Lacasse 04 Oct '04

04 Oct '04

I think this should be given a 7 or 8. A great job with color and contrast. Jim LaCasse >>> jamth(a)mindspring.com 09/25/04 05:51AM >>> FOTD -- September 25, 2003 (Rating 4) Fractal visionaries and enthusiasts: Today's image is a scene in the fractal that results when 0.6 part of Z^(-1.212) is subtracted from 0.6 part of Z^(2.2) and (1/C) is added. As are many fractals created by this type of formula, today's parent fractal consists of a distorted, over- sized Mandeloid. The scene is located rather deep in a broken spiral in what passes for an East Valley of the parent. I rendered the scene with the outside set to 'fmod' and the proximity set to 1.1. This departure from my usually purist outside=iter rendering came about because the 'iter' option draws a rather boring image. While searching today's fractal for a name, I was reminded of the 'eyes' in a peacock's tail, and named the image "Peacock- Tail Eyes". Unfortunately, I could find nothing that could raise the rating beyond a humble 4. The render time of just over 9 minutes results in an overall value of 44. The image may be seen by running the included parameter file. Those whose system balks at running Fractint parameter files may download the completed GIF file from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The Thursday and Friday weather was near perfect here at Fractal Central, and so was the attitude of the fractal cats, who had more time in the yard than they knew what to do with. Today looks like another great day. I expect the same for the duo. In my department, the work is nearly caught up. The next FOTD will appear on Sep 27. The FOTD will likely resume its daily basis on Oct 1. Until next fractal, take care, and don't get lost chasing fractal UFO's. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Peacock-Tail_Eyes { ; time=0:09:07.77--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.76262248560970150/+0.291908339275541\ 80/6.10102e+011/1/-7.50049017609904478/-0.00336675\ 416591392107 params=1/2.2/-1/-1.212/-0.4/0 float=y maxiter=1200 inside=0 proximity=1.1 outside=fmod logmap=yes periodicity=10 colors=000C9AIEDNJFSOHXTKaYMfaOZSISJCL96E00H79KEIM\ LRPS_SZhUeqTcnTbkS`hS_eSZbRX_RWXQUUQTRQSOPQLPPIONF\ OMCOLAPIIQFPQCWR9bR6iS3pS1wR2rR3nR4jR5fR6bQ7YQ8UQ9\ QQAMQBISDLUFNVGPXISYKU_LW`NZbP`cQbgWYwoHroLnoQinUe\ nZ`nbXngSmkOmpJmtFmxIjrKhlMffOd`QaVS_PUYJWWEYSBZP9\ _M6`J4aG2cF3eE4gD4iC5kB6mA6o97q88s78u69w5Ay4Az3Bz3\ Bx6Fs8JnBNiDQeGU`IYWL`RNdNQhISkDVo8Xs4ZvCVpKRjSNd_\ KZgGToCNv9Hp8Lk8Of7Ra7UX7XR6`M6cH5fC5i75lE4hK3dR2`\ X2Xc1Ti0Po0LgBJ`LHUWFNeDGoBFqLEsVEudDwnDyxFsuGmrHh\ pIbmJXjKShMQeNPbON_PMXQLVSJSTIPUGMVFJWEH_DKbCMfBPi\ ARmAUp9Wt8Zw7`z7by6ey6hx6kx6nw6qw6tc8hL9YOxiMy_KyR\ JyIHy9Gy0MzNSzhWhmdmilqfuubzy_quUlnQigNfaKcVH`ODYI\ AVB7S54PD8MKBKRELYINdLPkOQrRNqQLpPJoPHnOFmNDlNBkM9\ jMCdLEZLGTLINKKHKMCKhfiebdbZ``WXYSSVOOTLKu4GCOvM_s\ WjpeumatgZsbVsXSrSPrNOmROhUOcYOZ`OUdOPgOLjSRiVWhZ`\ gaefdjeT_aHPZ5FW6IUxcBzdA } 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================================== _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

2 1

FOTD 03-10-04 (Metropolis [7])
by Jim Muth 04 Oct '04

04 Oct '04

FOTD -- October 03, 2004 (Rating 7) Fractal visionaries and enthusiasts: I realized today that I had been hasty in searching for the first two fractal images of my tour through Fractint. When I posted the barnsleyj1 and barnsleyj2 images, I knew almost nothing of what these formulas can do. To correct the oversight, I have decided to start again today back at the beginning of the formula list. Today's second effort at the first Barnsley formula does not result in a great fractal, but it is certainly an improvement over the image of two days ago. Today's image was created by the barnsleyj1 formula. This time I examined the Mandelbrot version of the formula before setting the Julia parameters. The result is a rather unique image which I have named "Metropolis". I gave the image this routine name not because it reminds me of the city that Superman calls home, but because it reminds me of an aerial view of a grid of square city blocks. Such perfect squares and straight avenues as appear in the image are not easily found in fractals. This rarity earns the rating of 7. The rating is helped by the fact that I would have a difficult time producing a similar image from one of my work- horse formulas. The very fast render time of under 18 seconds gives the image an overall value of an astronomical and somewhat inflated 2414. Downloading the completed image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> might not be as fast, but it certainly is more convenient. A cloudy Saturday here at Fractal Central brought only a few sprinkles, and the temperature of 73F 23C made the outdoors comfortable for the fractal cats, who passed the afternoon in the holly thicket, showing themselves only when the dinner bell rang. Today is starting sunny and slightly cool. The duo will likely approve. For me it looks like a mixture of yard work and fractals for today. If I finish the yard work early enough, I might check the latest issue of 'Skeptical Inquirer' magazine, which I have not yet opened. Check back in 24 hours to see what I turn up in the land of fractals, and perhaps in the land of skepticism. Until then, take care, don't be too credulous, but be lively. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Metropolis { ; time=0:00:17.36--SF5 on a P200 reset=2003 type=barnsleyj1 passes=1 center-mag=0.417181/0.0913958/1.326295/1/-45/3.885\ 78058618804789e-016 params=1e-019/1.45 float=y maxiter=5000 bailout=1000 logmap=23 periodicity=10 colors=000KHHrzIUoIhvITlLThNSdPS`URXZRTcQPhQLmPHrP\ DvO9zO5zO2zS7zVBzTEzSGzRJzPLzOOzNQzLSzKVzJXzH_zGaz\ FczIafL_bOYYQWUTUPWSLZQG`OCbPCcQCeRCfRChSBiTBkUBlV\ BnWBoWBpUDpTEpRFpQGpOIpNJqLKqKLqIMqHOqFPqEQrCRrBSr\ 9Ur8Vr6Wr5Xr4Y`LdJ`k1pq2nn3lk4jh4ie5gb6e_6cY7bV8`S\ 8ZP9XMAWJAUHBSECQBCP8DN5EL2EK0FL2FM3GN4GO5HO6HP7HQ\ 8IR9IRAJSBJTCJUEKVFKVGLWHLXILYJMYKMZLN_MN`NN`OLhXJ\ odIvlHrjGoiFlgEifEfeiGNjGLjGKkGJkGIlGHlGGmGEmGDmGC\ nGBnGAoG9oG7pG6pG5qG4qG3qG2x88u7Is7Rp7_n7hk7qi7zfF\ scMmaTfZ_`WfUUmOWjPXhQZfR_dSabTb_TdYUeWVgUWhSXjPXk\ NYmLZnJ_pH`qF`pRfoalnmrmxwjsqgokekfbf``bWYZQWVLUTM\ SRNQQOOOPMNQKLRIKSGITEHUCFVAEW8CX6BY49Z38Z69W9AUBB\ SECQHDOJEMMFKPGIRHGUIEXJCZKAaL8cL6dSEeZMfdTgk`hrhi\ znhxohwogvpgupgspfrqfqqeprenremrdlsdksdjsdjsejseks\ ektektfktfltfltfltgmtgmtgmthnugmtflseksdjrciqbhqbh\ pago`fo_enZdmYcmSgITiITkI } END PARAMETER FILE=========================================

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fractography
by carenp 03 Oct '04

03 Oct '04

it's been a long time coming, but i finally got around to putting up about 150 of my favourite fractint fractographic fractals on the web... not someone else, me... (grin) i'd love to hear from some of the old-timers out there who are still active in the community... we can talk about how we were "much younger then"... :) 00 carenp http://www.parkgallery.org (galleries, caren park, fractography)

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Re: [Fractint] fractography
by BillatNY＠aol.com 03 Oct '04

03 Oct '04

Caren, I've been a fan of your work for a long time. I love your new galleries. I have not been very active lately, but I've been into Fractint since about 1990. I began posting my stuff to the abpf newsgroup sometime in 1993 I believe. Even though I stopped creating new stuff a couple of years ago, I still keep an eye on what my fellow fractalers are up to. Some of my work is still up at the web sites below. Bill Rossi _http://members.aol.com/billatny/_ (http://members.aol.com/billatny/) _http://www.arts4u.org/rossi/_ (http://www.arts4u.org/rossi/)

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FOTD 02-10-04 (Broken Symmetry [5])
by Jim Muth 03 Oct '04

03 Oct '04

FOTD -- October 02, 2004 (Rating 5) Fractal visionaries and enthusiasts: Today's fractal takes us to the second escape-time fractal of the large built-in library of Fractint, the barnsleyj2 formula, which like yesterday's formula, the barnsleyj1, first appeared in Barnsley's book "Fractals Everywhere". The fractals produced by the barnsleyj2 formula are quite like those produced by the barnsleyj1 formula, at least this is how it appears to me. I have done only an insignificant amount of exploration however, and have almost certainly missed the most interesting fractals these formulas can draw. I might have done better if I had started with the Mandelbrot versions of the Barnsley formulae. Then I would have formed some idea of the variety possible before jumping right into the Julia sets. But my intention is to work through all the escape-time formulas in order, and this clueless rambling is how it goes at the start. Like yesterday's image, today's image is centered on one of the points of symmetry that fill the parent fractal. And once again I could give a rating no higher than an average 5. The coloring helps a little, the blue background giving the impression of bits and pieces of fractal debris swirling in infinite space -- one of my favorite themes. After a short consideration, I named the image "Broken Symmetry". After short trips into the first two of Barnsley's Julia formulae, I am only mildly impressed by their potential. I have seen similar and even far more interesting 'bits-and-pieces' images created by the MandelbrotBC2 branch-cut formula when it is used to investigate the Mandeloids that result when powers of Z between 1 and 2 are iterated. Perhaps the best feature of today's image is its lightning speed. Less than 28 seconds to render a fractal is unusual, even in this day of gigahertz machines. And this speed raises the humble rating of 5 to a whopping overall value of 1087. I can already see the world's fractalists rushing to their computers to render the image. But unfortunately, some modern computers do not support the old DOS video modes used by Fractint. Those with such new-fangled, over-featured, under-performing machines can still see the image however by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather was totally perfect here at Fractal Central on Friday. What could be better than light winds, a cloudless sky, and a temperature of 77F 25C? The fractal cats fully agreed. They spent the afternoon lounging in the holly thicket at the bottom of the yard, not showing themselves until I rang the dinner bell (a spoon on a can of cat food) at sundown. Today is starting cloudy and drizzly, with heavier rain due in a few hours. The fractal duo have not yet seen the deteriorating conditions. Hopefully, they had such a pleasant time yesterday that they will not mind a few drops on their ears today. With about three hours effort, I should be able to empty the in-shelf beside my desk of all waiting work. Then I will have no excuses for submitting less-than-perfect fractals. Until tomorrow, take care, and when a fractal goes sour, sprinkle a little sugar on it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Broken_Symmetry { ; time=0:00:27.63--SF5 on a P200 reset=2003 type=barnsleyj2 passes=1 center-mag=+1.09808811220341800/+1.103806763054818\ 00/75.43892/1/62.5/-1.14117049143658278e-013 params=0.52/1.22 float=y maxiter=500 bailout=100 inside=0 logmap=19 periodicity=10 colors=000YA_XAZWBYVCXUCWTDVSDUQKTOQSMTRKXQF`LRdHb\ hCnm8zu4vnArgGn`LkVRgOXcHa_AgX4lU8kSCjPGiNKjKOkISl\ FWmD_nAco8gp6jq8irAisCitEhuGhvIhwKgxMgyOgzQfzSfzUf\ zSdzRbzP_zoZzmZzkZziZzg_ze_zc_za_z_`zY`zW`zU`zS`zQ\ azOazMazKazIbzGbzEbzCbzBbzD`zE_zGZzHYzJXzKWzMUzNTz\ OSzQRzRQzTPzUNzWMzXLzZKz_Jz`Iz_Nz_RzZVzZZzYbzYgaXk\ gXomWssWwycdqkNir5al6df7g`7jV8mP8pJ9sD9uCAvCBvCBvC\ CvCDvCDvCEvCFvCFvCGvCHvCHwCIwCJwCJwCKwCLwCLwCMwCNw\ CNwCOwCOwEQxGRxISxKTxMUxOVxQXxSYxUZxW_xY`x_axacxcd\ xeexgfxigxkhxmixu9AvGLvMVwSewYowcyvdwveuvfsvgrvgpv\ hnvimujkukiukgulfumdunbunatmcslerkgqjipjkoimnhomgq\ mgskhtjhtiithiugjufjuejudkvckvblvalv`mw_mwZmwYnwXn\ xWoxVoxUoxRlzPizNfzLczJ`zHYzFVzDQzBMzAHz8Dz68z54zE\ MzNczWtzXrzXqzYozYnzYlzZkzZjzZhz_gz_ez_dz`bz`az``z\ a_zaZzaYwaXtaWqaVnbUmbTnbTobSpbRqbQrcPscOtcNucMvcL\ wcLwWGzOCzG8zHGzHOzHVzOAz } END PARAMETER FILE=========================================

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FOTD 01-10-04 (Fractal Briars [5])
by Jim Muth 01 Oct '04

01 Oct '04

FOTD -- October 01, 2004 (Rating 5) Fractal visionaries and enthusiasts: Today I have good news! Starting today, the FOTD will resume its daily schedule. This schedule will continue, with occasional interruptions, for the foreseeable future, bringing new and hopefully greater fractal wonders each and every day. It has been sometimes said that I give too little attention to the built-in fractal types of Fractint. To correct this possible oversight, I have decided to post a FOTD created by each of the fractal types in turn, starting with today's image, which was created by the Barnsley-1 Julia formula. I believe that this series of formulas first appeared in Dr. Michael Barnsley's book "Fractals Everywhere". For now, I will confine my explorations to the escape-time fractal types. Having devoted so much time and effort to my own formulas, I have done very little exploring in the fractals created by some of these formulas, making them almost new. This should assure as exciting a trip for me as for the readers. Today's stop in the fractal created by the Barnsley j1 formula rates a 5. I am sure that this formula has far better images latent in it, but having done almost no exploring, I have set- tled for the best I could find after 27 minutes of exploration. The image has a rather sharp, scratchy feeling to it, which reminds me of the thicket of prickly brush at the bottom of the fractal yard, where the fractal cats go to feel safe when they sense a threat in the vicinity. The name "Fractal Briars" seems quite appropriate. Since the image is part of a Julia set, it can hold no Mandel- brot midgets. Instead of a midget at the center, we have a symmetrical area of chaos that reveals additional interesting scenes as one dives ever deeper into it. The render time of 25 seconds raises the merely average rating of a 5 to a very impressive 1190, one of the highest overall values of all time. Those who would rather not render may find the finished image available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather here at Fractal Central on Thursday threatened showers, but nothing ever developed. The sun between clouds and temperature of 75F 24C were perfect for fractal cats. The two local ones made the most of it by enjoying the entire afternoon in the yard. When supper time arrived, they came indoors without complaint. For me, only a few traces of the work backlog remain to be cleared away, and those will be gone by the weekend. The next FOTD will appear in 24 hours at this same place. Until then, take care, and what is it all about? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Briars { ; time=0:00:24.99--SF5 on a P200 reset=2003 type=barnsleyj1 passes=1 center-mag=-0.76237465831199520/+1.36037226116\ 578400/96846.58/1/115/-2.65054318770996389e-010 params=0.7/1.25 float=y maxiter=300 bailout=100 inside=0 logmap=40 periodicity=10 colors=000zYzsXroTigPY_MNSIBKF0GKADOJATT7Xa4ak1et2\ bs3Zr3Vq4Sq5Op5Ko6Gn6Dn6Kk6Qi6Xf6bd6hb6o_6uY6zWByT\ FxRJvPOuMSsKWrI`pFdoDhnBkeLmXVpOdrFnnIojLogOocRo`U\ pXXpU_pQbpNeqJhqGkqCnq9qq8oo8nn8mm8ll8kk8jj8hi8gh8\ fg8ef8de8cd8bcAedBheCjeDmfEpfGrgHugIxhJzhKziLziSw_\ ZpQehGka6ge8ch9`lAXoBUsCQvDNyEOxHOwKPwNPvQQvSQuVRu\ YRt`StbSseTshTrkTrmVtjWugXvdYwaZxZ_yW`zTazQbzNczK`\ zLYwMVtNSqOPnOMkPJhQGeRDbRA_S7XT4UU1SU3TS5UQ7VO8WM\ AXKCYIEZGF_FH`DJaBLb9Mc7Od5Qe3Re2NjKJo`InaHmbGlcFk\ cEjdDieChfBgfAfg9eh8di7ci6bj5ak5`kAZfFXbJVZOTVSSRX\ QN`OJeMFiLBYHONE_BBk08w6DsCHpHMlNQiTVeYZbSbdNeeHig\ Clh6pj1sk4tl6tm8tmBunDunFuoHvoKvpMvpOwqQwqTwrVxrXx\ sZxs_mg`cX`UMaKBaA0aD3aF5aI8aKAaMDaPFaRIaUKaWNaYP`\ cY_heZmnYrvZps_np_ln`jkahhaffbdcbcaab``a`_``Z__YZ_\ XY_WX_VWZUVZTUZSTZRSYQRYPQYOPYNTVNWTMZQMaOLdLLhJKk\ GKnEJqBJt9Jw7nbnpaor`qt_r } END PARAMETER FILE=========================================

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FOTD 27-09-04 (Seahorse Scene [4])
by Jim Muth 29 Sep '04

29 Sep '04

FOTD -- September 27, 2004 (Rating 4) Fractal visionaries and enthusiasts: Today's fractal gives us a new view of a midget lying in the Seahorse Valley area of the Mandelbrot set. This valley, which separates the main bay from the largest bud, is perhaps the best-known feature of the Set. When its aspect in the M-set alone is considered, Seahorse Valley appears as two two-dimen- sional wedges that approach but never quite reach the X-axis. But the Mandelbrot set is but a single slice of a monstrous, four-dimensional abstraction known as the Julibrot, and Seahorse Valley itself is but a single slice of a much broader four-dimen- sional part of the Julibrot. Being a 4-D object, the totality of Seahorse Valley cannot be visualized, but it can be discussed. In the M-set, the valley terminates in two sharp points. The M-set lacks two dimensions of the Julibrot however. When one dimension is added, the valley may be visualized as terminating in two sharp edges that approach each other but never quite touch. This much can be easily visualized. But when still another dimension is added, the valley must be seen as terminating in two sharp surfaces, which could extend indefinitely in the plane of their two dimen- sions and still be as sharp as a razor at every point. The idea makes no sense. A flat surface is a two-dimensional wall that cannot be sharp. This is true enough in three-dimen- sional space, but in four-dimensional space, a 2-D surface with no extent in the remaining two dimensions is a razor edge that could slice cleanly through any soft 4-D object it touches. These words are easy enough to understand, but like so many other features of 4-D space, the thing they describe cannot be visualized. Curiously enough, a properly programmed computer would have no trouble moving and turning 4-D objects in 4-D space, but even when it did so, we would see only morphing and turning 3-D shapes on our flat 2-D screens. Is the inability to visualize four-dimensional objects a limitation of our 3-D visual apparatus, is it a limitation of our minds, or are we merely unable to imagine an abstraction that does not physically exist? Regardless, today's image is easily viewable. I named it "Seahorse Scene" because, even though it is sliced at an unimag- inable angle, the scene is still located in Seahorse Valley. I rated it at a 4 because I can see little in it that is worth more. When the render time of 10-1/4 minutes is considered, the overall value equals 39. All this rating stuff can be avoided by visiting the FOTD web site and downloading the finished image from there. The FOTD web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Continuing near perfect weather here at Fractal Central on both Saturday and Sunday kept the fractal cats quite happy. They spent the better part of both days lounging in the yard, sleeping and remembering the days when they still had their kittenish enthusiasm. Today is starting acceptably well. Tomorrow promises rain, so the duo had best enjoy themselves as much as possible today. For me, things are nearly caught up. Unless something unexpected happens, I should be able to return the FOTD to its one-a-day schedule on October 1. And I might even have time for some deep philosophical discussion. The next FOTD fractal will appear on Sep 29. Until then, take care, and search for the entrance to the fourth dimension. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Seahorse_Scene { ; time=0:10:14.17--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=+0.00000000000102891/+0.000000000000197\ 56/6.53521e+011/0.02319/-9.79555128726789448/-85.9\ 814495713471274 params=42/147/2/0/-0.7475607140431\ 548/0.1243880653191712/-0.7475607140431548/0.12438\ 80653191712 float=y maxiter=4200 inside=0 logmap=1146 periodicity=10 colors=000qeYqfXrgWrhVsiUtjUsiTshSrgRrgQqfPqeOpeNp\ dMocLocKnbJnaImaHm`Gl_Fl_EkZDkYCjYBjXAiW9iW8hV7hU6\ gU5gT4fS3fS2eR1eQ0eQ0fP4fO8fNCgMGgLKgKOhJShIWhH_iG\ ciFgiEkjDojCskAzjCwjEujGsjIqjKojLmjNkjPijRgiTeiVci\ WaiY_i_YiaVicTieRifPihNhjLhlJhnHhpFhqDhsBhu9hw7hy5\ hz3ix4iv4iu4is4jr4jp4jo4jm4kl4kj4ki4kg4le5ld5lb5la\ 5m_5mZ5mX5mW5nU5nT5nR5nQ5mP6lP7kP7jP8iP9iP9hPAgPBf\ PBePCePCdPDcPEbPEaPF`PG`PG_PHZPIYPIXPJXPJVOKUNLSML\ RLMPKNOJNMIOLHOJGPIFQGEQFDRDCSCBSAAT9ATADRAFQAHOBK\ NBMLBOKCRICTHCVFCXED_DDaBDcAEf8Eh7Ej5Fm4Fo2Fq1Fs0D\ l5BeAAZF8SK6LP5EU37Z21c96WFAPLFHRJAVO2XN3YM3ZL3_K4\ aJ4bI4cH5dG5eF5gE6hD6iC6jB7kA7m97n88o78p68q58p8BoB\ DnEFmHHlJJkMLjPNiSPhURgXUf_WebYde_cgabjcame`pg`ri_\ jk_cmZXnZQpUHsZJqcKphLomMnqNmpMloMlnLknLkmKjlKjlKi\ kJijJhiIhiIhhHggHggHffGfeGedFedFdcFdbEcbEcaDc`Db_C\ b_CaZCaYB`YB`XA_WA_b1dWA_ } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END 20.0 PAR-FORMULA FILE==================================

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IFS to escape-time fractals
by Tony (Anthony) Hanmer 29 Sep '04

29 Sep '04

I wonder if anyone could shed light on the following formulae, from the Orgform collection. They apparently adapt IFS types to escape-time fractals; but I would like to know what parameters work for them, having been unsuccessful in getting more than a blank screen so far. I have already written to Ramiro Perez about his programme, ifsinv.exe, and am awaiting a reply about that. binary_J, binary_M, coral_J, coral_M, crystal_J, crystal_M, dragon_J, dragon_M, fern_J, fern_M, floor_J, floor_M, koch3_J, koch3_M, sg_ifs_45_J, tree_J, tree_M, triangle_J, triangle_M, zigzag2_J, zigzag2_M Many thanks, Tony Hanmer Tbilisi, Republic of Georgia _________________________________________________________________ The new MSN 8: smart spam protection and 2 months FREE* http://join.msn.com/?page=features/junkmail

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Unsubscribe please - sorry
by Tony (Anthony) Hanmer 29 Sep '04

29 Sep '04

Apologies to the list. I sent my letter rather more publicly than I had intended. Tony Hanmer _________________________________________________________________ Protect your PC - get McAfee.com VirusScan Online http://clinic.mcafee.com/clinic/ibuy/campaign.asp?cid=3963

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Greens and blues for Jim Muth's FoTD for 9/25/04, Peacock-Tail_Eyes
by Hal Lane 25 Sep '04

25 Sep '04

################################################################ Damascena Korwen's Leather Gem color map has a series of green and blue entries that can be rotated to provide surprisingly realistic Peacock Tail Eyes for Jim Muth's FoTD for 9/25/04, Peacock-Tail_Eyes. The background is, not too surprisingly, leather colored. My fixation on this color map doesn't seem to be lessening. Maybe its just a great color map. Has anyone tried using her color map on their fractals? I posted the ASCII .map version of her color map to this forum August 22, '04. I'd like to know if anyone else has had any success with it... - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START 20.0 PAR-FORMULA FILE================================ Peacock-Tail_Eyes2 { ; Hal Lane 9/25/04 t=15:35 P400 1024x768 ; Jim Muth's FoTD with Damascena ; Korwen's Leather Gem color map (rotated) reset=2003 type=formula formulafile=pastengo.par formulaname=mandelbrotmix4 function=recip passes=1 center-mag=+0.76262248560970150/+0.29190833927554180/6.10102e+\ 011/1/-7.50049017609904478/-0.00336675416591392107 params=1/2.2/-1/-1.212/-0.4/0 float=y maxiter=1200 inside=0 proximity=1.1 outside=fmod logmap=yes periodicity=10 sound=off colors=YD0Kmm<8>CURBSOAQM<3>6GB5E86G9<9>EWHFYIGZJ<2>JdMKfNLhM<\ 5>bmDenBhoA<3>ts3wt1sr2<5>Zf8Vd9SbA<3>DVF<4>CPCCNBCMA<2>BI9BH8\ BH8<3>AE79D6DE6<3>UI9YJAaLBeMCgODjQF<9>tgGuiGvjG<2>ypGzrFzrK<3\ >yufxukxvqwww<3>rhh`F0`F0<5>UA0T90S80R80Q70P60<3>L30K30J20I10I\ 10<16>UB2UB2VC2<3>YE3<3>Q82O61M41<3>Q71R81S91fM5<3>iO5jP5kQ6<9\ >UB3S92Q82<3>I10931A00<3>VK0_P0dU0<3>zm0<3>zb0z_0zX0zU0<3>`F0U\ C0O80H40<2>A4773A73C<3>56K47M48O39Q2AS<8>9QaASbATc<3>E`hFbiGdi\ <3>Jkl } 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================================== ################################################################ --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.767 / Virus Database: 514 - Release Date: 9/21/04

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FOTD 25-09-04 (Peacock-Tail Eyes [4])
by Jim Muth 25 Sep '04

25 Sep '04

FOTD -- September 25, 2003 (Rating 4) Fractal visionaries and enthusiasts: Today's image is a scene in the fractal that results when 0.6 part of Z^(-1.212) is subtracted from 0.6 part of Z^(2.2) and (1/C) is added. As are many fractals created by this type of formula, today's parent fractal consists of a distorted, over- sized Mandeloid. The scene is located rather deep in a broken spiral in what passes for an East Valley of the parent. I rendered the scene with the outside set to 'fmod' and the proximity set to 1.1. This departure from my usually purist outside=iter rendering came about because the 'iter' option draws a rather boring image. While searching today's fractal for a name, I was reminded of the 'eyes' in a peacock's tail, and named the image "Peacock- Tail Eyes". Unfortunately, I could find nothing that could raise the rating beyond a humble 4. The render time of just over 9 minutes results in an overall value of 44. The image may be seen by running the included parameter file. Those whose system balks at running Fractint parameter files may download the completed GIF file from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The Thursday and Friday weather was near perfect here at Fractal Central, and so was the attitude of the fractal cats, who had more time in the yard than they knew what to do with. Today looks like another great day. I expect the same for the duo. In my department, the work is nearly caught up. The next FOTD will appear on Sep 27. The FOTD will likely resume its daily basis on Oct 1. Until next fractal, take care, and don't get lost chasing fractal UFO's. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Peacock-Tail_Eyes { ; time=0:09:07.77--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.76262248560970150/+0.291908339275541\ 80/6.10102e+011/1/-7.50049017609904478/-0.00336675\ 416591392107 params=1/2.2/-1/-1.212/-0.4/0 float=y maxiter=1200 inside=0 proximity=1.1 outside=fmod logmap=yes periodicity=10 colors=000C9AIEDNJFSOHXTKaYMfaOZSISJCL96E00H79KEIM\ LRPS_SZhUeqTcnTbkS`hS_eSZbRX_RWXQUUQTRQSOPQLPPIONF\ OMCOLAPIIQFPQCWR9bR6iS3pS1wR2rR3nR4jR5fR6bQ7YQ8UQ9\ QQAMQBISDLUFNVGPXISYKU_LW`NZbP`cQbgWYwoHroLnoQinUe\ nZ`nbXngSmkOmpJmtFmxIjrKhlMffOd`QaVS_PUYJWWEYSBZP9\ _M6`J4aG2cF3eE4gD4iC5kB6mA6o97q88s78u69w5Ay4Az3Bz3\ Bx6Fs8JnBNiDQeGU`IYWL`RNdNQhISkDVo8Xs4ZvCVpKRjSNd_\ KZgGToCNv9Hp8Lk8Of7Ra7UX7XR6`M6cH5fC5i75lE4hK3dR2`\ X2Xc1Ti0Po0LgBJ`LHUWFNeDGoBFqLEsVEudDwnDyxFsuGmrHh\ pIbmJXjKShMQeNPbON_PMXQLVSJSTIPUGMVFJWEH_DKbCMfBPi\ ARmAUp9Wt8Zw7`z7by6ey6hx6kx6nw6qw6tc8hL9YOxiMy_KyR\ JyIHy9Gy0MzNSzhWhmdmilqfuubzy_quUlnQigNfaKcVH`ODYI\ AVB7S54PD8MKBKRELYINdLPkOQrRNqQLpPJoPHnOFmNDlNBkM9\ jMCdLEZLGTLINKKHKMCKhfiebdbZ``WXYSSVOOTLKu4GCOvM_s\ WjpeumatgZsbVsXSrSPrNOmROhUOcYOZ`OUdOPgOLjSRiVWhZ`\ gaefdjeT_aHPZ5FW6IUxcBzdA } 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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wallpapers for 2x LCD flat screens
by Guy Marson 24 Sep '04

24 Sep '04

Hi fractinters, Since some time I´m using two flat screens with a resolution of 1280x1024 pix. (Radeon 9800XL). Now I need wallpapers with a resolution of 2560x1024.. Fractint did it with "viewwindows=1/0.375/yes/0/0" and an additional line in the fractint.cfg: ******************************************************** AF9 ,Disk/RAM 'Video' , 3, 0, 0, 0, 11,2560,2048,256,For Background Fractals ******************************************************** Here ar the "best" wallpapers: winwal01 { ; time= 1:16:40.56--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=formula formulafile=fractint.frm formulaname=rudysetplus passes=1 center-mag=+0.61594187477358300/+0.26649105686739320/1.110581e+012/0.5/8\ 5.0012275316197901/-0.00042061706659549114 params=4/0 float=y maxiter=19200 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<58>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`uR`\ v<2>SbyTczSby<61>000 } winwal02 { ; time= 5:55:05.21--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=+0.25044553200428840/+0.00001487227231271/1.086435e+011/0.5 params=0/0 float=y maxiter=76800 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal03 { ; time= 0:25:21.77--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=formula formulafile=fractint.frm formulaname=RudySetPlus passes=1 center-mag=+0.64996667041852160/+0.00527767813352525/1.976996e+011/0.5/1\ 0.0000034458208091/0.000106259864077536126 params=4/0 float=y maxiter=4800 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000000<57>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`\ uR`v<2>SbyTczSby<61>000 } winwal04 { ; time= 16:48:29.60--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=mandel passes=1 center-mag=-0.20723469930662780/+0.65253095192936540/5.800177e+010/0.5/1\ 77.500040181123893/-9.24025653067511721e-005 params=0/0 float=y maxiter=3840 inside=atan logmap=110 periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000NWn<40>46A359348<3>124123112001000<58>taJubJvbK<2>ydLzeLydL<55\ >642531421<2>100000001<56>Q_tQ`uR`v<2>SbyTczSby<9>OXo } winwal05 { ; time= 0:43:56.92--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=mandel passes=1 center-mag=-0.75004311376620820/+0.00533348388987070/7.288426e+007/0.5 params=0/0 float=y maxiter=9600 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 cyclerange=1/1 colors=000<58>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`uR`\ v<2>SbyTczSby<61>000 } winwal06 { ; time= 4:22:50.27--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=mandel passes=1 center-mag=-1.76854411112860410008589/-5.67859555000130105846e-4/4.82584\ 5e+019/0.5001 params=0/0 float=y maxiter=4800 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000531<52>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`\ uR`v<2>SbyTczSby<51>46A359348<3>124123112001000<4>421 } winwal07 { ; time= 0:07:01.28--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=1920 type=formula formulafile=fractint.frm formulaname=mand-mand-gm passes=1 center-mag=+0.34396372855620850/+0.05608272739828778/2.279318e+008/-0.5 params=1500/0/0.3439637213055898/0.05608272738673762/-0.7214175892052389\ /0.2591804589512701 float=y maxiter=3020 inside=atan periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000000<57>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`\ uR`v<2>SbyTczSby<61>000 } winwal08 { ; time= 2:03:54.11--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=formula formulafile=fractint.frm formulaname=rudysetplus passes=1 center-mag=+0.64990722824109980/+0.00130229715178666/1.224749e+009/0.5/4\ 2.5000010599545988/-3.26263381813379771e-006 params=4/0 float=y maxiter=19200 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<58>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`uR`\ v<2>SbyTczSby<61>000 } winwal09 { ; time= 5:51:03.15--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=formula formulafile=fractint.frm formulaname=rudysetplus passes=1 center-mag=+0.29476557732835880/+0.33198994467469100/1.153822e+010/0.5/1\ 27.499996576286634/7.60830806892792699e-005 params=4/0 float=y maxiter=76800 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<58>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`uR`\ v<2>SbyTczSby<61>000 } winwal10 { ; time= 0:29:20.42--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=formula formulafile=fractint.frm formulaname=rudysetplus passes=1 center-mag=-0.00378189099518371/+0.56347816079843720/1.84599e+009/0.5/-1\ 7.499996996670987/-5.82805852481632636e-006 params=4/0 float=y maxiter=4800 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<58>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`uR`\ v<2>SbyTczSby<61>000 } winwal11 { ; time= 1:17:04.01--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=formula formulafile=fractint.frm formulaname=rudysetplus passes=1 center-mag=+0.64990868426845580/+0.00129930194513576/2752167/0.5 params=4/0 float=y maxiter=4800 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<58>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`uR`\ v<2>SbyTczSby<61>000 } winwal12 { ; time= 1:55:48.23--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-1.250520026186454968/0.0109215272475727547/1.110099e+014/0.5\ 001/2.50033874211292684/-0.000677438450128867165 params=0/0 float=y maxiter=4800 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000000<57>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`\ uR`v<2>SbyTczSby<61>000 } winwal13 { ; time= 0:05:13.90--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=+0.32845121829884120/-0.04883847316565564/1298147/0.5001/100.\ 001959620165451/-0.00391887110436994757 params=0/0 float=y maxiter=2400 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal14 { ; time= 1:06:36.60--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-0.53937114614275730/+0.61000621632524490/632371.8/-0.5/337.4\ 99999998554586/5.95943036585389052e-009 params=0/0 float=y maxiter=19200 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal15 { ; time= 0:23:02.25--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-0.72307336826126880/+0.24021512507886330/8.012629e+011/0.5/-\ 40.0001253614980357/0.00171242571534992172 params=0/0 float=y maxiter=4800 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal16 { ; time= 0:36:02.80--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=+0.35775650168333530/+0.64571431888043640/6195200/-0.5/357.50\ 0005676421722/1.92933588411201007e-005 params=0/0 float=y maxiter=9600 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal17 { ; time= 0:00:08.52--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=mandel passes=1 center-mag=-0.66194715429204720/+0.33072173081903280/4.360657e+007/-0.5/\ 187.499999969183335/-7.91529380789190995e-008 params=0/0 float=y maxiter=9600 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000000<57>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`\ uR`v<2>SbyTczSby<61>000 } winwal18 { ; time= 0:26:05.43--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=mandel(fn||fn) function=sqrt/sqr passes=1 center-mag=-0.75071959292685000/+0.02128323906050829/102481.9/-0.5/287.4\ 99999999893987/1.03418530683629939e-010 params=0/0/5e-005 float=y maxiter=4800 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000000<57>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`\ uR`v<2>SbyTczSby<61>000 } winwal19 { ; time= 1:09:34.83--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-0.67034458147793160/-0.31567543426555480/1.85124e+009/0.5/12\ .4999999336014742/-4.4706000640395982e-006 params=0/0 float=y maxiter=9600 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal20 { ; time= 0:24:44.47--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=+0.25012695677910060/+0.00000209461317202/7.317549e+011/0.5/-\ 77.4994540056521402/-0.000232114107094637256 params=0/0 float=y maxiter=9600 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal21 { ; time= 2:12:54.30--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=mandel passes=1 center-mag=-0.75004419914958750/+0.00525724380288595/2225078/0.5/90/3.88\ 578058618804789e-016 params=0/0 float=y maxiter=38400 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 cyclerange=1/1 colors=000000<57>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`\ uR`v<2>SbyTczSby<61>000 } winwal22 { ; time= 0:48:08.04--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-1.76856685263262000/+0.00065090045370608/2.396894e+011/-0.5 params=0/0 float=y maxiter=9600 inside=atan periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal23 { ; time= 0:48:07.65--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-1.76856685263262000/+0.00065090045370608/2.396894e+011/-0.5 params=0/0 float=y maxiter=9600 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000QH7<17>fSEgTEhUEiVFjVF<9>taIubIvbJ<2>ydKzeKydK<48>D83C73B63<3>\ 741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<56>235234123112011000<5>5\ 31641741<17>PH6 } winwal24 { ; time= 7:28:28.43--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=+0.25550734103320380/+0.49465250843811400/2.514021e+011/0.503\ 3/-120.334020845262899/0.666096440525174027 params=0/0 float=y maxiter=76800 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal25 { ; time= 0:01:23.54--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=mandel4 passes=1 center-mag=+0.55259241279136060/+1.01400387807071600/384071.2/0.5 params=0/0 float=y maxiter=600 inside=atan logmap=41 periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000000<57>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`\ uR`v<2>SbyTczSby<61>000 } winwal26 { ; time= 1:36:35.14--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-0.11894627360760550/+0.64949609239884840/1962725/0.5/-127.49\ 9999995185036/-1.22350464204501463e-008 params=0/0 float=y maxiter=14400 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal27 { ; time= 1:43:43.33--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-0.75001153360913000/-0.00262333145889659/3191945/-0.5/160.00\ 0000007639528/-3.37605323835754589e-008 params=0/0 float=y maxiter=19200 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal28 { ; time= 7:59:47.16--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=formula formulafile=fractint.frm formulaname=rudy-fn1 function=sqr passes=1 center-mag=+0.45545770793874210/+0.34130180733471440/4.859149e+008/0.5/-\ 7.4999851487582152/-2.99876554949590757e-005 params=4/0/3/0 float=y maxiter=153600 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<58>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`uR`\ v<2>SbyTczSby<61>000 } winwal29 { ; time= 4:12:36.14--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-0.1193980068173172/0.8385169776609925/1.082397e+013/-0.4999/\ 349.997347769226792/-0.00158833696738434893 params=0/0 float=y maxiter=6000 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000000<57>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`\ uR`v<2>SbyTczSby<61>000 } winwal30 { ; time= 3:19:44.02--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=formula formulafile=fractint.frm formulaname=rudysetplus passes=1 center-mag=+0.61597606381138490/+0.26642579480426820/1.773936e+011/0.5/-\ 14.9999914040277638/0.000683676918868884875 params=4/0 float=y maxiter=19200 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<58>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`uR`\ v<2>SbyTczSby<61>000 } winwal31 { ; time= 0:18:18.02--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=formula formulafile=fractint.frm formulaname=rudysetplus passes=1 center-mag=+0.59576750779687960/+0.22689436342289230/7.17869e+009/0.5/11\ 7.499980444233614/0.000260179868100271494 params=4/0 float=y maxiter=2400 inside=atan logmap=100 periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<58>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`uR`\ v<2>SbyTczSby<61>000 } winwal32 { ; time= 0:02:15.77--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=+0.32848870896369850/-0.04925454443483145/5560.564/0.5001/90/\ -1.23373533611470521e-014 params=0/0 float=y maxiter=1200 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal33 { ; time= 0:04:19.25--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=+0.32838322835551750/-0.04900203673095914/581566.7/0.5/142.50\ 2928995221339/-0.00585807123701553856 params=0/0 float=y maxiter=1200 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal34 { ; time= 0:07:26.71--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=+0.25827163240847930/+0.00121599633414465/2.1817e+009/0.5/-69\ .998051878701645/-0.00389667378244152457 params=0/0 float=y maxiter=4800 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal35 { ; time= 0:09:42.37--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=+0.25827163240847930/+0.00121599633414465/2.1817e+009/0.5/-69\ .998051878701645/-0.00389667378244152457 params=0/0 float=y maxiter=38400 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal36 { ; time= 0:15:07.37--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-0.74746378503213920/-0.08299281644754428/2.047354e+011/0.499\ 9/175.000541061175625/-0.00137823964110925928 params=0/0 float=y maxiter=4800 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal37 { ; time= 2:59:12.44--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-1.15790603294558100/+0.26973058353884480/2080010/0.5/97.4999\ 999968676434/8.09527882228433526e-010 params=0/0 float=y maxiter=38400 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal38 { ; time= 1:06:18.09--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-1.15790841888827100/+0.26973252703154460/4.159399e+008/0.5/7\ 0.0000016614772846/-1.24285245216293472e-006 params=0/0 float=y maxiter=19200 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal39 { ; time= 1:16:12.55--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-1.87002392314116000/+0.00000115071495055/3.361779e+008/0.5/-\ 84.9999991842683897/-1.52245006526663396e-006 params=0/0 float=y maxiter=19200 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal40 { ; time= 1:33:59.26--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-1.76852897159935300/+0.00013883371589374/1.190899e+009/0.5/5\ 0.0000056726502464/-1.13338901317344698e-005 params=0/0 float=y maxiter=19200 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal41 { ; time= 0:09:21.17--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=+0.26906702664714820/-0.00506996870749068/1.138448e+012/0.5/7\ 5.0010290747689368/-0.000507527571550418777 params=0/0 float=y maxiter=9600 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal42 { ; time= 1:27:08.14--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=formula formulafile=fractint.frm formulaname=rudy-fn1 function=sqr passes=1 center-mag=+0.29489082023747890/+0.33220962435487930/4.004017e+011/0.5/-\ 140.000566804688617/0.000499697552295175207 params=4/0/3/0 float=y maxiter=9600 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<58>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`uR`\ v<2>SbyTczSby<61>000 } winwal43 { ; time= 0:09:48.31--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-1.05884549641169900/-0.24351397043485080/2.331809e+009/0.5/-\ 40.0000083694286488/1.49871935817141866e-005 params=0/0 float=y maxiter=4800 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal44 { ; time= 0:38:47.13--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-1.12819912487133400/+0.21488306904639300/456717.1/0.5/-90/3.\ 88578058618804789e-016 params=0/0 float=y maxiter=9600 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal45 { ; time= 3:57:41.30--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-0.75004393893045500/-0.00537275359085596/9.977636e+011/0.5/1\ 70.000142878923413/0.000434149761301433346 params=0/0 float=y maxiter=96000 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal46 { ; time= 4:05:21.73--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-0.75078358421910000/+0.02264951927882360/4.555642e+012/0.5/2\ .50041056437687725/-0.00743537605571639726 params=0/0 float=y maxiter=153600 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8<26>taIubIvbJ<2>ydKzeKydK<48>D83C73B6\ 3<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal47 { ; time= 0:00:51.46--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-0.80916914911894210/+0.20828466381203400/1249728/0.5005/-109\ .950528798676075/-0.0498727325890925 params=0/0 float=y maxiter=306 inside=atan periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000MUj<42>235234123112011000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23\ >taIubIvbJ<2>ydKzeKydK<48>D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u\ <2>SbxTcySbx<12>MVk } winwal48 { ; time= 0:33:17.04--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-1.99909584339332206015024/1.34778167202814335147e-5/1.353238\ e+020/-0.4986 params=0/0 float=y maxiter=616 inside=atan logmap=112 periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000000<57>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`\ uR`v<2>SbyTczSby<61>000 } winwal49 { ; time= 0:01:02.40--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-1.42867357460402400/+0.16248918209951070/8.467244e+009/0.499\ 8/85.0303069340861555/-0.0484226067856533271 params=0/0 float=y maxiter=624 inside=atan logmap=50 periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<58>Q_tQ`uR`v<2>SbyTczSby<51>46A359348<3>124123112001000<58>ta\ JubJvbK<2>ydLzeLydL<60>110 } winwal50 { ; time= 0:20:02.54--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=mandel passes=1 center-mag=-1.01829584357101800/+0.26160142702778080/5.652911e+008/0.5/1\ 80 params=0/0 float=y maxiter=14400 inside=atan logmap=100 periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000321210100000<57>Q_tQ`uR`v<2>SbyTczSby<51>46A359348<3>124123112\ 001000<58>taJubJvbK<2>ydLzeLydL<57>421 } winwal51 { ; time= 0:11:38.98--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=mandel passes=1 center-mag=-1.24930658720297900/-0.02786487733098879/1.497539e+012/-0.51\ 26/200.612037309525732/-1.20477304052674983 params=0/0 float=y maxiter=4800 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000vbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`uR`v<2>SbyTcz\ Sby<51>46A359348<3>124123112001000<59>ubJ } winwal52 { ; time= 0:02:20.06--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=mandel passes=1 center-mag=-1.26695089096213800/-0.05003967186862764/10237.2/0.5156/10.3\ 264672534733091/-0.643023286008381989 params=0/0 float=y maxiter=2400 inside=atan logmap=91 periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000000<58>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`\ uR`v<2>SbyTczSby<60>001 } winwal53 { ; time= 0:19:41.39--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=mandel passes=1 center-mag=-1.25315987674471100/-0.04633716767752798/3.06726e+012/0.5167\ /180 params=0/0 float=y maxiter=19200 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000EJV<21>359348247<3>123112001000<58>taJubJvbK<2>ydLzeLydL<55>64\ 2531421<2>100000001<56>Q_tQ`uR`v<2>SbyTczSby<29>EKW } winwal54 { ; time= 0:05:25.38--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2003 type=mandel passes=1 center-mag=-1.77628113682260400/+0.00532496719526282/2200843/0.5326 params=0/0 float=y maxiter=4800 inside=atan logmap=171 periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000321210100000<57>Q_tQ`uR`v<2>SbyTczSby<51>46A359348<3>124123112\ 001000<58>taJubJvbK<2>ydLzeLydL<57>421 } winwal55 { ; time= 1:08:08.16--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=+0.25386433125131360/+0.00039002452692703/2.148615e+012/0.533\ 3/-3.00001388052247409/-0.00139136041907341607 params=0/0 float=y maxiter=19200 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000000<57>taJubJvbK<2>ydLzeLydL<55>642531421<2>100000001<56>Q_tQ`\ uR`v<2>SbyTczSby<61>000 } winwal56 { ; time= 0:04:04.09--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-1.20782715337691500/+0.31629001857817880/1214.367/0.5333/-2.\ 4999999999902891/-3.21741036590772467e-011 params=0/0 float=y maxiter=9600 inside=atan periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000JC6<10>853752642531421<2>100000001<56>Q_tQ`uR`v<2>SbyTczSby<51\ >46A359348<3>124123112001000<58>taJubJvbK<2>ydLzeLydL<41>KD6 } winwal57 { ; time= 0:18:11.20--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-1.15047405180462100/+0.31013548265454330/9.664799e+007/0.533\ 3/-32.4999999797340209/2.05736266398193202e-007 params=0/0 float=y maxiter=9600 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000QH8<12>D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcy\ Sbx<56>235234123112011000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ\ <2>ydKzeKydK<34>RH8 } winwal58 { ; time= 0:38:55.37--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-1.52214759774934600/+0.00001874652417956/2.842503e+009/0.500\ 5/-30.0193670986450059/-0.0159616443260745672 params=0/0 float=y maxiter=9600 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal59 { ; time= 1:15:26.58--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=-1.75786912691404400/-0.01203666929502337/9393852/0.5002/-5.0\ 0155533790688178/-0.0515869993035724811 params=0/0 float=y maxiter=19200 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } winwal60 { ; time= 7:28:28.43--AF9 on a P4 3.00GHz ; Version 2002 Patchlevel 3 ; Fractint Version 2003 Patchlevel 2 reset=2002 type=mandel passes=1 center-mag=+0.25550734103320380/+0.49465250843811400/2.514021e+011/0.503\ 3/-120.334020845262899/0.666096440525174027 params=0/0 float=y maxiter=76800 inside=atan logmap=yes periodicity=0 viewwindows=1/0.375/yes/0/0 colors=000<5>531641741<21>TJ8UK8VL8WM8XM9YN9<23>taIubIvbJ<2>ydKzeKydK<48\ >D83C73B63<3>741641530<3>100000000<56>Q_sQ`tR`u<2>SbxTcySbx<61>000 } frm:mand-mand-gm { ; Sylvie Gallet 101324.3444(a)compuserve.com, 1995 ; requires "periodicity=0" (<g> command) modif. GM ; shifts between 2 Mandel formulas ; iter < limit ==> z=z^2 + pixel ; iter > limit ==> z=z^2 + pixel + delta ; with limit = real(p1) c1 = (0.34396372130558980 , 0.05608272738673762) c2 = (-0.72141758920523890 , 0.25918045895127010) c = z = pixel , delta = p3-p2 , b = pixel+delta iter = 0 , limit = real(p1) , bailout = 16 : test1 = (iter<limit) , test2 = (iter!=limit) z = z*test2 , c = b - delta*test1 z = z*z+c , iter = iter+1 |z| <= bailout } frm:RudySetPlus {;Rudy Rucker's CCL-Parametrization ( z = a ) ;Types: a = b = Pixel / a = (x,x), b = (y,y) ;----------------------------- ;p1 real: Bailout ;p1 imag: Type (choose 0 or 1) ;----------------------------- IF (imag(p1)) z = real(pixel)*(1,1), a = 3*sqr(z), b = imag(pixel)*(1,1) ELSE z = b = pixel, a = 3*sqr(z) ENDIF : z = z*(sqr(z)-a) + b p1 >= |z| } frm:Rudy-fn1 {;Rudy Rucker's CCL-Parametrization ( z = a ) modif. GM ;----------------------------- ;p1 real: Bailout ;p1 imag: Type (choose 0 or 1) ;----------------------------- IF (imag(p1)) z = real(pixel), a = p2*fn1(z), b = imag(pixel) ELSE z = b = pixel, a = p2*fn1(z) ENDIF : z = z*(fn1(z)-a) + b p1 >= |z| } have fun, Guy +++++++++++++++++++++++++++++++++++++++++++++ Dear friends, My new email address is <gmarson[at]mnhn.lu>. The former address <guy.marson[at]mnhn.lu> is no more valid. +++++++++++++++++++++++++++++++++++++++++++++

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FOTD 23-09-04 (Circled by Oranges [4])
by Jim Muth 23 Sep '04

23 Sep '04

FOTD -- September 23, 2004 (Rating 4) Fractal visionaries and enthusiasts: The most recent FOTD image featured fractal limes, so why not fractal oranges? Today's image does in fact feature oranges -- eight of them in a circle around the central midget. The formula is basically a whimsical frolic with the number pi. The parent fractal is a very distorted oversized Mandeloid with an immense area of chaos lying to its north and west. Today's scene is located in a small cut-off patch of chaos inland from a bud on the southern shore of the Mandeloid. I named the image "Circled by Oranges" after the ring of orange circles surrounding the central midget. I rated it at only a 4 because, like its predecessor, the image contains few memorable features that I could find. On the worn-out P200 computer the image renders in 2-1/4 minutes. On the new P3200 unit, it renders in 17 seconds -- almost exactly 1/8 the time. The completed image may be downloaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Absolutely perfect weather (clear skies and a temperature of 84F 29C) on Tuesday and Wednesday made for absolutely perfect fractal cats. Feeling his third or fourth kittenhood, and encouraged by the great weather, Tippy broke the monotony by leaping for a low flying sparrow; but alas, Tippy has lost his speed, and his leap fell several inches short. The bird flew by in no danger. Thomas watched the activity with amusement. As for myself, I am nearing the end of the work backlog, with only a small pile of unfinished stuff waiting for completion. I might have it all caught up by the time the next FOTD appears on Sep 25 . . . or I might not. Until then, take care, and try to keep your fractal enthusiasm under control. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Circled_by_Oranges { ; time=0:02:14.95--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-3.26812949557044200/+0.553539437941893\ 40/76548.97/1/-130/5.80059770563523536e-008 params=1/1.14159265358979/-3.14159265358979/-3.141\ 59265358979/-0.1/0 float=y maxiter=1200 inside=0 logmap=36 periodicity=10 colors=000r`2dU2SO2FI22CV5Ic7OmAUpCYqE`sH_rJWrFTkC\ Re8PZ5NT2LN9JKFIHLHERGBYE8cD5iC2oB0iH9dNI_TQVZZQdf\ LjoGpwJnoLmgOl_QjSTiKVhCXg4JY_fz1az7XwDSrIPoHNlGLi\ FJfEGcDE`CCYBAVAPgIctQqzYkyZeq__i_Ua`OU`IMaDEaGPmI\ ZyScqagikkauoVKc2LaBM`JM_RNY_OXgOWoMaqLgrKmsIsuHyv\ GzwFzxGzvHzuIztJzsbnb`rZZuVYxSWzOUzKTzHSzRSr_RjhRc\ qTdnUdlWdjXdgZde_dcqlTrlYrlbslfslktlptltqpsosrmwrj\ zqhzqfzpdzpazdZyUWtJDVEC`KBePAjU9oZ8tc7yh6zm6zr9ih\ BKZER_GX`IbaKiaMobOucQzclzzdznXzbQzRSzWUz_WydYvh_r\ laoqcludiygmrjqlmuepy_szTuzNoxJiqFciBYb7TW4YUBbTIg\ SPkRWpQbuPiyOpxVjxaexh`xoVxvQxzLxzGvzFtzFrzEpzEpzw\ mzpjzigzbezWbzP_zIYzCJzQ5zb6zc6zd6ze6zf5z_5zU4zN4z\ H3zA3z47z7BzAEzDIzGMzJPzLMzKJzJGzIEzIBzH8zG5zF3zF8\ zKCzPHzULzZPzcUzhYzmazqczpezogznbzlYzkUzjPzhKzgGzf\ VzQiz9`zESzIJzMAzQ2zUczGZzFVzEQzDMzCHzBDzA8z94z9hz\ 0jz6kzBmzHnzMpzSqzXrzaozv } 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 21-09-04 (Circled by Limes [4])
by Jim Muth 21 Sep '04

21 Sep '04

FOTD -- September 21, 2004 (Rating 4) Fractal visionaries and enthusiasts: Over the past several days I have been trying different things with the 3200mhz machine I recently purchased for business purposes, to see how fast I could get it to render fractals. I got so involved in the project that I neglected the FOTD. Since the new P4-3200 unit is 16 times as fast as the old P200 fractal- dedicated machine, it would appear to be able to calculate fractals in 1/16 the time, but so far I have managed only an 8x increase in speed, which is actually a bit better than I had expected. I suspect that, though the new unit runs 16 times as many cycles per second, each cycle does only half as much work. The 8x increase in fractal speed might be all I'll get from the new machine. This is of little importance, for it will be quite some time before the new unit will be available full-time for fractals. Today's fractal image lies in the fractal that results when the Mandelbrot formula Z^1.5+C is calculated 13 levels down the complex logarithmic hyperspiral. The parent fractal looks some- thing like a little man in a racing car (It reminds me of Smokey Stover for those old enough to remember). The image is located in a prominent valley on the southern shore of the parent. I named the picture "Circled by Limes" because of the lime-green circular spiral basins that surround the midget at the center. While searching for a rating, I could find little out of the ordinary that might make the image an above-average one. As a result, I was able to give it a rating no higher than a 4. But that lowly rating is raised to an overall value of 95 by the relatively short render time of 4+ minutes. While rendering a fractal for oneself is the most fun, seeing the completed image is more convenient. The completed image may be conveniently found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Friday was showery here at Fractal Central; Saturday was cloudy, windy and chilly. But Sunday and Monday were ideal for cats, who took full advantage of the ideal conditions by spending almost the entire two days hiding in the holly patch at the bottom of the yard, cleverly avoiding the burdock burrs. Today is again starting ideally. The cats should be happy. If I had not started trying things with the new computer, the work backlog would have been under control. But as it is, the work is still a bit behind. A week or so of effort should bring it under control however. The next fractal will appear in two days on Sep 23. Until then, take care, and never lose your sense of fractal wonder. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Circled_by_Limes { ; time=0:04:11.84--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.7\ 3206915204115540/-0.16342381564101770/146751/1/-90\ /3.8857805861880479e-016 params=1.5/0/-13/0 float=y maxiter=1200 inside=0 logmap=105 periodicity=10 colors=000AFKAGLAHMAINAJOBKPCLQDMR9NOCORFPQHQUKRYN\ SaPTeSUiVVmXWq_XubYxdZzg_zgXzi_zlazmeoohlpkismftpc\ vs`wvYyxVzzSsvPoqNklLfgJbbHZXEUSCQOAMK8IG6MEAQDDUC\ GYBJaAMe8Pi7Sm6Vq5Yu4`z2bx3cv4dt5dr5ep6en7fl8fk8gi\ 9ggAheBhcBiaCi_DjZDjXEkVFlTGlRGmPHmNInLJnKJoIKoGLp\ EMpCMqANq8Or5Mw7Or8Pn9RjASfBUbCVZDWVEYQFZMG`IHaEIc\ AJd6Hg1Ke2Nd3Pc3Sa4V`4X_5_Y6bX6dW7gU7jT8nR7lS8kT9j\ TAiUBhUCgVDfWEeWEdXFcXGbYHaYI`ZJ__KZ_LY`LX`MWaNVaO\ UbPTcQScRRdSPdSOeTNeUMfVLgWKgXJhYIhZHiZGi_Fj`EkaDk\ bClcBldAme9me8nf7og6oh5pi4pj3qk2qk3pi4oh5nf5me6md7\ lb7ka8j`9jZ9iYAhXBgVBgUCfSDeRDdQEdOFcNFbMGaKHaJH`I\ I_GJZFHXDJZEL_FM`GOaHPbIRcJSeKUfLVgMXhNYiO_jP`lQbm\ RcnSeoTfpUhqVisWktXluYnvZow_qx`ry`szWszSszPszQtzUs\ zYszarzerziqzkqzmszouzqwztxzwzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(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 delayed
by Jim Muth 19 Sep '04

19 Sep '04

Fractal fans: Due to technical difficulties, (details to come), the FOTD for September 19 will appear on the 21st. Jim M.

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FOTD 17-09-04 (Ultimate Chaos [4])
by Jim Muth 17 Sep '04

17 Sep '04

FOTD -- September 17, 2004 (Rating 4) Fractal visionaries and enthusiasts: Due to a small but hurried job, today's FOTD will be short. Today's image takes us to the northeast shoreline of the main bay of the Mandelbrot set, where we explore rather deep into the inland side of the north branch of the valley leading to the period-6 bud. We find a midget there, with a much smaller midget in its eastern suburbs. This smaller midget and its surroundings are illustrated in today's image. It is a very chaotic area, which is the reason for the name. But there is enough order in the chaos to add features of interest. Due to the work rush, I had little time to color the image, which is a little shy on the green. As a result, I could rate it no higher than a 4. The render time of under 5 minutes gives an overall value of 81. The pre-rendered image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> There were lots of clouds here at Fractal Central on Wednesday and Thursday, but only a few periods of rain. The cats managed enough outdoor time while it was dry to keep them happy. But today is very cloudy and promises to turn far wetter. The cats could be headed for a bad day. It looks like a rather busy day for me. And the time to get started is now. Until 48 hours passes, take care, and don't get too meta-anything. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Ultimate_Chaos { ; time=0:04:54.46--SF5 on a P200 reset=2003 type=mandel passes=1 mathtolerance=/1 center-mag=+0.37517851389890870/+0.218989084595706\ 20/5.768643e+011/1/-87.5023329487830068/-0.0011606\ 2012740850151 params=0/0 float=y maxiter=32767 bailout=9 inside=0 logmap=-4500 periodicity=10 colors=00000`00`00`00`00`00`00`00`00z00z00z00z00z0\ 0z00z00z00z00z00z00z00z00z02`04`07`09`0B`0D`0Hz0Jz\ 0Mz0Mzg00p00gBOuluuzzpzzlzzgzzezz`zzYzzTyzQrzMlzJj\ zDezB`y7Yu4Tr2Ol0Mj0Hg0BK09K04`00Y00W00T00Q00O00M0\ 0J00H00J00J00M00M00M00O00O00O00Q00Q00Q00T00T00T20W\ 40W70W90YB0YH0YJ0`M0`O0`T0bW0bY0b`0eb0eg0ej0gl0gp0\ gr0jy0jz0jz0lz0lz0jz0lz0lz0py0pu0pr0rp0rj0ug0ue2ub\ 2yY4yW4zT7zQ7zM9zJBzHBzBDz9Dz7Hz4Hz0Jz0Jz0Mz0Mz0Oz\ 0Oz0Qz0Oz0Qz0Tz0Wz0Yz0`z0bz0ez0gz0jz0lz0pz0rz0uz0y\ z0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zy0zu0zp0zl0\ zj0ze0zb2z`4zY7zT9zQBzODzJHzHJzDMzBOz7Qz4Tz2Wz0Yz0\ `z0bz0ez0gz0jz0lz0pz0rz0uz0yz0zz0zz0zz0zz0zz0zzzzz\ 0zz0zz0zz0yz0uz0pz0lz0jz0ez4bz9`zHWzOTzTQz`MzeJzlB\ zyHzrJzpOzlQzjTzgYzb`z`bzYgzWjzTpzOrzMuzJzzHzzDzzB\ zz0zz0zz0zz0zz0zz0yz0pz9gzM`zYQzlTzjTzgTzeWzeWzbWz\ `0z00z00z00z00z00z00z00z0 } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 11-09-04 (Fractal test [7])
by Vortex Swirling 15 Sep '04

15 Sep '04

Jim, Physicists have asked the question: why don't we remember the future? Perhaps occasionally dreaming lets us do this. Last Friday night I had a dream that there was some kind of institute of learning that was carved into a large smooth hill made out of rock. Different floors were traversed by sliding down well worn "slides" in the rock. It was really quite fun. Saturday I heard about fireworks occurring in the area at a local school. When we arrived, there was a good hill on which to climb and sit to watch them. It was then that I realized everything I had seen in the dream was the same "shape". I sat down on the hill and felt like I was at the location of the dream. The hill was steep enough that children who were there were sliding and tumbling down the hill. Skeptics can say its not possible but you can't know until you've experienced it yourself. There was a science fiction story I read once as a child called Pink Worms. It described that if you could see the fourth dimension of time in its entirety, people would look like "pink worms" extending from the day they were born till the day they died. There would many of them intertwined and streaming all over the place the paths being extremely complex but continuous. It was then that I came up with the idea, what if you could pluck that line like a string. This is how I've been able to rationalize this kind of reverse information flow. Any time I've ever felt like this, it was always some event that ultimately was emotionally charged. In the case of the fireworks, I find them quite exciting even as an adult. I don't know if there is anything to prove unless you insist people believe you. I can't prove any of my theory but I've yet to see any proof that it can't be done other than it usually doesn't happen (which isn't proof at all). --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.760 / Virus Database: 509 - Release Date: 9/10/2004

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FOTD 15-09-04 (All in Order [8])
by Jim Muth 15 Sep '04

15 Sep '04

FOTD -- September 15, 2004 (Rating 8) Fractal visionaries and enthusiasts: To create a good fractal, one must put adequate effort into coloring it. I did put some effort into today's image, and it shows. As a result of the coloring, the image rates an exceptional 8. I named it "All in Order" because I am more satisfied by it than I have been with recent FOTD images. Another thing helping the image is that I rendered it with the outside set to 'real'. The 'real' option adds the real value of the escaping points to the iteration count. The effectiveness of this option varies from image to image, but in today's case it works very well. The formula behind the image combines some Z^(1.2) with some Z^(-1.2) before adding (1/C). The resulting parent fractal is divided into two parts, (much as all Gaul was divided into three parts). These two parts are a very distorted Mandeloid on the left and a less-distorted Mandeloid on the right. The Mandeloids are surrounded by much fractal debris filled with action, though this debris did not enter into today's image. Today's image is located near the tip of a side branch of a filament extending from a sub-bud on the northern shore of the main bud of the less-distorted Mandeloid. Scenes in fractals are almost always *near* points, such as the tips of filaments. Due to the unending nature of fractals, it is impossible to find exact points. The sought-after point runs away as fast as it is zoomed in on. A good example of the futility of such a chase is to try to find the 'last' midget on the main negative stem of the Mandelbrot set. When adjusted for the render time of 12 minutes, the rating of 8 gives an overall value of 66. But wait! Running the parameter file is not the only way of seeing the image. Today's fractal is available for download, pre-rendered, on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Monday was sunny with a temperature of 84F 29C. The cats were quite happy. Tuesday was cloudy with showers in the afternoon and a temperature of 75F 24C. The cats were not so happy, and showed it by tearing up a faxed message as it came in. Even in their senior years, the fractal cats are fascinated by the fax machine. Luckily, the message was fax spam, offering me a reduced rate on my next shipment to Taiwan. Since I have no plans on shipping anything to Taiwan in the foreseeable future, the cats were exonerated. But this morning it is raining again. Can the cats stay out of trouble? The work is actually slowing down here at F.C. This can only mean that soon the fractals will not only be more plentiful but of higher quality as well. I might even have a chance to philos- ophize. But for now, the FOTD will remain on an every-other-day schedule. The next image will appear on the 17th. Until then, take care, and don't disappear into a fractal bottomless pit. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ All_in_Order { ; time=0:02:12.48--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.14252826650251640/-0.175463338060394\ 10/1.599043e+010/1/-25/-0.00126547193317334133 params=-2/-1.2/1.9/1.2/-1.5/0 float=y maxiter=400 inside=0 outside=real logmap=44 periodicity=10 colors=000fG0kE0pD0wU0za2zh6zm9zoBzmBzkByhBtfDpcDl\ bDh_DeZDaWEXTETREOOEKNGGKGBIG6GG3EG3KH3QI5WI5aK5fL\ 5kL3iN3hN2hN2fN0eN0eO0cO0cO0bO0aO0aQ0_Q0ZQ0ZQ0XQ0X\ Q0WT0UU2TW5RX8Q_BQaEObGNcILfLKhOKiRIkUHmXGo_EpaErb\ Boc9mc6le5ke3if0hf0fh0eh0ci0bi0ah0cf3ee8hcEibKlaOm\ _UpZ_rXctWivWmwKzt9zrHzsNztUzt_zvfzvlzwszwyzyzzywz\ rrzllzefz__zUUzNOzHIzBGzHEzNDzR9zX8zb6zf5zl2zr0zv0\ zz0zz6zzGzwNzsWzobzkkzfrzbzzrzzrzzrzzrzzryzryzryzr\ yzryzrwzrwzrwzrwzrwzrrztlzwfzzazzWzzQzzKzzGzzkzyzz\ mzzpzzrzzszztyzwtzyrzzozzkzzhzzczzazzZzzUzzRzzOzzN\ zzLzzKzzKzzIzzHzzGzzGzzEzzDzzDzzDzzDzzDzzDzzDzzDzz\ DzzDzzDzzDzzDzzDzzDzzDzzDzzDzzGzzIzzLzsOzlRzcUzXXz\ O_zHbz8cz0_z3Wz6Rz9NzDIzGEzI9zL5zO0zQ8zeGztNzzDzaB\ zU9zO8zI6zB5z53z03z0Gz0Rz6bzDpzIzzOzzUzzNyzHkzBbz3\ Uz0Lz0Hz0Tz0Xz0az0ez2iz3mz6rz8vz9zzDzzEzzGczQHzZ0z\ f5zaGzXQzRazNOz0Tz0Xz0bz0 } 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 13-09-04 (Erin Land [7])
by Jim Muth 13 Sep '04

13 Sep '04

FOTD -- September 13, 2004 (Rating 7) Fractal visionaries and enthusiasts: Things are still hopping here at F.C., so once again the discus- sion will be short. Today's image lies in the parent fractal that results when some Z^(-2) is subtracted from some just plain Z and (1/C) is added. This parent appears as a vague Mandeloid rotated -120 degrees. Its most identifiable feature is its East Valley, which in this case lies on the NNW border of the main bay, a feature that could more accurately be called the ocean, for there is little resemblance to a bay. I named the image "Erin Land". For some reason, most likely its overall green color theme, the image reminds me of Ireland. For variety, I used the outside=atan option in rendering the scene. It gives a livelier appearance than the basic and overworked outside=iter option. The colors are rather brilliant, a fact that I noticed when I gave the scene its rating of a liberal 7. Unfortunately, the slow render time of almost 52 minutes permits an overall value of only 13. But the image is still interesting, and as always, will soon be available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The near-perfect weather here at Fractal central over the past few days kept the fractal cats quite happy. Today is progres- sing near perfectly also, so I expect more happiness from the cat quarter. For me, I think I see light at the end of the work backlog tunnel, but there is still a way to go. It looks like the next FOTD will appear on Sep 15. Until then, take care, but don't take so much care that you take away all the fun. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Erin_Land { ; time=0:51:56.36--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=-2.05193900971597000/+3.629922260995730\ 00/4075305/1/-110/6.86470697994212564e-008 params=1.04/1/-1.36/-2/0/0/0/0 float=y maxiter=5000 inside=0 outside=atan periodicity=10 colors=0000sC0uC0uA0uC0uE0uG0uI0uK0uM1uM4uO6uP8uRA\ uTCuVCuVAuY8sa8se6si4ql4qo1qs0ov0oz0oz0qz0oz1nz6lz\ AjzEizIgzMexRcvVauY_uaYseXqiVoqPzlVog_eaeTViEXiIYi\ M_iPaiTciXci_eicgigiijjinliqiaqlisonusuvvzxzzzzzzz\ zzizoPzcTzgVziYxj_nnaeoeXqgOsiCvl1xn0zq0zo0zn0zl0z\ l0zj0zi1zg6zgAzeEzcIzcMzaPz_TzYXzY_zXczVgzPizVjz_l\ zelzjnznnusooxojzqezq_zsVzsPzuKzuEsvaMxx0zz0xz0lz0\ _u6OiCAX_0TI0M06E0G60KA0NC0QE0TI0WK0ZM1aP4dR6gTAjX\ CmYGp_IsaMueOwgPxiTylVznYzo_zsczuezvezzgzxizvjzulz\ qlzonznozjqziqzgszcuzavz_xzXxzVzzTzzPzzOzzMzzIzzGz\ zEzzGzzCzx8qu6iq1Yl0Pi0Ge06a00Y00Y04X08V0CV0GT0KT0\ PR0TP0XP0_O0cO0gM0jK1nK1qK4sM4qO1oQ0nS0lU0iW0gY0e_\ 0ca0ac0Ye0Xg0Vi0Tk0Pm0Oo0Nq0Qs6Tu0Ww6Zx6ay8dz8gzAj\ zAmzCqzCszEqzEmyGiwGguGcsI_qKWoMSmMOkOKiPIgPKeROcT\ PaTT_VVYXYWXaUYcS_gQ_iMalGcz1VnEcVOl8Xu0iz0ez0cz0a\ z0YzMiIIjGElGAnG8nE4oE0qE } 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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distributed animation project
by jpkotta 12 Sep '04

12 Sep '04

I remember seeing a inquiry here a few months ago about volunteers to render pieces of a big fractal animation. I lost the original mail and I couldn't find anything about it in the list archive. Did I miss the whole project? Did it ever get started? On a tangential note, the list archive at http://www.xmission.com/pub/lists/fractint/archive/?1095028647 seems to be a bit behind. The last message I found was from Dec 2001. Is there another archive somewhere?

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FOTD 09-09-04 (Mandel Paw-Prints [6])
by JimMuth＠aol.com 12 Sep '04

12 Sep '04

FOTD -- September 09, 2004 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a scene on a filament of a small midget on a larger filament on the northeast border of the largest bud of the Mandelbrot set. On my tired old P200 machine it renders in 32 minutes. On the new 3200mhz unit it renders in just under 8 minutes, and that is without any optimizing. The new machine properly displays the VESA super-VGA resolutions up to SF7, which is 1024x768x256. It almost manages SF9. Since I have done no optimizing, I could probably get Fractint running significantly faster if I tried. I could also probably make the SF9 resolution work. I have noticed several program quirks, such as sudden slow-downs in the rendering speed, which likely could be worked out. Since the new unit probably will not be used for fractals for some time yet, I have not yet decided to exert the effort of optimizing it for Fractint and working out the quirks. But when things get caught up, I probably will. I named the image "Mandel Paw-Prints". And why not? The name is as good as any other I might have thought of. When adjusted for the render time of 32 minutes, the rating of 6 gives an overall value of 19. As I remarked above, the image renders in 32 minutes. I have been reading of some access problems with the FOTD web site, but I have had no problems in accessing the site. If all goes well, much time can be saved by downloading the finished GIF file from the web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> If all does not go well, the parameter file is included below. Unsettled weather over the past few days made for unsettled cats. For some reason they got into a tussle Wednesday after- noon -- a very undignified thing for such aged cats to do. Luckily the treat of tuna topped with cheddar cheese restored their good moods. I'll try to have the next FOTD ready by Saturday the 11th. Until then, take care, and Saturday will be the third anniversary of the day on which I realized that pre- cognition, which is intuitively impossible, does in fact exist. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandel_Paw_Prints { ; time=0:31:58.17--SF5 on a P200 reset=2003 type=mandel passes=1 center-mag=-0.89182353338998202751172445/0.2449367\ 0082753657586271102/1.912854e+021/1/-27.5/3.715271\ 14628733557e-012 params=0/0 float=y maxiter=2500 inside=0 periodicity=10 colors=00054477889B9CEBFICIKEKNFNQGQUISXJVZKYbM`eN\ bhNdjMahK`fKYeJXdIUaIS`GQZFOYFMXEKUCISCGRBEQBCOR5G\ f09w01z00x03l09Z3IN7OBBVFFYJJ`NMbRQeVUhZXjb`mfbnhe\ pifpjhpliqmjqnlqpmsqnsspstqtustwttwutttuqtuptumswl\ swiswfsxeqxbqxaqyZqyXpyVpzSpzRpzOtyMxxKzxNxqOwlRte\ Ss`VqVXnOZmJ`lEZiGZfJZdKZaNZZOZXRZUSZRVZOXZMZZJ`ZG\ bZFdXJfUNiRQlOUnMXqJ`tGdwEfyBjz8mzBidEfFJbKO`OUYSY\ VYbSahQelNjqKnwIszFwjxqhwifubdtXbtQ`sJZqCYq5FaK0NY\ 0OX0QX0RX0SV0UV0VV0XV0YU0ZU0`U0aU0YV0UX4QY8MZCI`IF\ ZNEYSCYXBX`9Vd8Vh7Ul5Un8Uq9UtBUuEUwFUwGUxJUyKUzMUz\ OUzQUzRUzUUzVUzXUzYUz`YtaambdhehafjVhnOjsJluCmy5oz\ 0qz0sz4uzFxyQzt`zpjzjuzfzzbutijep`SuQEzG0zE1zC3yB4\ u95q87m78i49e3Ba1CY0EU0FQ0GM0KI3QK8TMEWNJZQOaRUdSZ\ gU`jValXbjXbiYdhYefZfeZfd`hb`iaaj`ajZblYbmXdmfdlmY\ jpRiuKhxEfw7fr9fmCfhFfcIfZKfUNfPQdJRaGRZESXBSV9US7\ UQ4VN1Vzq3wh4l`4aS4RK4GC4 } END PARAMETER FILE=========================================

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FOTD 11-09-04 (Fractal test [7])
by Jim Muth 12 Sep '04

12 Sep '04

At 12:46 PM 9/12/04 -0400, Vortex Swirling wrote: >Jim, > >What was the precognition you had? The details are in the FOTD archives for Sep. 2001. Basically, I experienced seven consecutive nights of extremely vivid and disturbing dreams. This was on the nights of Sep 4 through Sep 10. The dreams were of crashing planes, fireballs, falling buildings, piles of mangled bodies, etc. I have never before or since had such a series of dreams. Somehow, hints of what was to happen on the 11th made an impression on my sleeping mind. I realize that this violates the law of causality. Skeptics have told me that it was one of those unlikely coincidences that happen every so often. But the doubters did not experience the dreams. I know with absolute certainty that information from the future somehow moved backward in time, or perhaps my mind moved forward in time. It makes no difference. The effect is the same. The important thing is that precognition is considered to be one of those goofy things that no rational, scientifically literate person would believe. Yet I now know that precognition, though it certainly is not an everyday event, does in fact occasionally happen. To me, this means that the macroscopic world works in some ways that are non- intuitive, just as the microscopic world does, and leads me to wonder if any of the other non-intuitive things currently considered goofy such as mental telepathy, mind-over-matter, out-of-body travel, etc. actually do exist. Jim M.

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Re: [Fractint] FOTD 11-09-04 (Fractal test [7])
by Vortex Swirling 12 Sep '04

12 Sep '04

Jim, What was the precognition you had? --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.760 / Virus Database: 509 - Release Date: 9/10/2004

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Re: 9/11/04 FOTD with rotated Leather Gem colormap
by Jim Muth 12 Sep '04

12 Sep '04

At 04:52 AM 9/12/04 -0400, you wrote: >Jim Muth's 9/11/04 FOTD, 'Fractal Test', >with Damascena Korwen's Leather Gem >color map (rotated). This color map >never ceases to amaze me. I would rate the image at an 8. It shows the importance of putting enough effort into coloring a fractal. Jim M.

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Jim Muth's 9/11/04 FOTD with rotated Leather Gem color map
by Hal Lane 12 Sep '04

12 Sep '04

############################################################### Jim Muth's 9/11/04 FOTD, 'Fractal Test', with Damascena Korwen's Leather Gem color map (rotated). This color map never ceases to amaze me. START 20.0 PAR-FORMULA FILE================================ Test_Leather_Gem { ; Hal Lane Sep 12,'04 t=23:42 P400 1024x768 ; Jim Muth's 9/11/04 FOTD, ; 'Fractal Test', with Damascena Korwen's ; Leather Gem color map (rotated) reset=2003 type=formula formulafile=pastengo.par formulaname=mandelbrotmix2 function=recip passes=1 center-mag=+6.92298688714207000/-1.78892139830957400/7.124363e\ +011/1/-128.999548730711808/-0.00989589737458908963 params=-3.437040314951018/-1.33/-5.104165776543474/-13.3/0/0/0\ /0 float=y maxiter=1600 inside=0 periodicity=10 sound=off colors=YD0lUF<7>tgGuiGvjG<2>ypGzrFzrK<3>yufxukxvqwww<3>rhh`F0`\ F0<5>UA0T90S80R80Q70P60<3>L30K30J20I10I10<16>UB2UB2VC2<3>YE3<3\ >Q82O61M41<3>Q71R81S91fM5<3>iO5jP5kQ6<9>UB3S92Q82<3>I10931A00<\ 3>VK0_P0dU0<3>zm0<3>zb0z_0zX0zU0<3>`F0UC0O80H40<2>A4773A73C<3>\ 56K47M48O39Q2AS<8>9QaASbATc<3>E`hFbiGdi<3>JklKmmJkj<7>CURBSOAQ\ M<3>6GB5E86G9<9>EWHFYIGZJ<2>JdMKfNLhM<5>bmDenBhoA<3>ts3wt1sr2<\ 5>Zf8Vd9SbA<3>DVF<4>CPCCNBCMA<2>BI9BH8BH8<3>AE79D6DE6<5>aLBeMC\ gODjQFkSF } 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================================== - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ############################################################### --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.756 / Virus Database: 506 - Release Date: 9/8/04

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FOTD 11-09-04 (Fractal test [7])
by Jim Muth 11 Sep '04

11 Sep '04

FOTD -- September 11, 2004 (Rating 7) Fractal visionaries and enthusiasts: I am really quite busy today, but not so busy that I have no time for a short FOTD. Today's image shows a midget deep in the fractal that results when various negative portions of Z^(-1.33) and Z^(-13.3) are mixed together and (1/C) is added. The parent fractal is little more than a scattering of rings with an occasional Mandelbrot set thrown in. Today's image is located in the East Valley of the largest of these M-sets. I named the picture "Fractal Test". I was testing screen resolu- tions on the new computer when the image casually appeared. It was good enough to be declared FOTD for September 11, so that's what I did. The rating of a 7 might be just a bit over-rated, but if so, not by much. The render time of 16 minutes results in an overall value of 44. On more of a philofractal note, today is the third anniversary of the day I experienced certain precognition and my world-view changed. The change was not on a political level as much as a philosophical level. Three years ago, it was demonstrated very spectacularly to me that the world as it appears to the senses is only a part of reailty. Before that day I had merely suspec- ted that this is the case. This means that our very successful scientific method, based as it is upon the input of the senses alone, must be incomplete. It also means that the faculty of reason, powerful as it might be, but also tied to the senses, is not the ultimate means of finding truth. And it means that at least some of the crazy paranormal stuff that can not possi- bly exist, does in fact exist. I wonder how much more of the so-called 'supernatural', in addition to precognition, might exist. A far more rational thought is to save time by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Except for a brief minor shower Thursday afternoon, which barely dampened the cats' spirits, Thursday and Friday were pleasant here at Fractal Central, with a temperature that hung around 82F 28C, and lots of sun. Today is passing equally pleasant, which means more happy cats. With the new computer up and running, things are once again showing signs of coming under control. This means that the FOTD will resume its daily schedule sometime not too far off. But the very next FOTD will appear in no less than 48 hours. Until then, take care, and the fact that things are not as they seem need not cause alarm. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Fractal_Test { ; time=0:15:57.63--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=+6.92298688714207/-1.788921398309574/7.\ 124718e+011/1.0/-129/-0.008513223863 params=-3.437\ 040314951018/-1.33/-5.104165776543474/-13.3/0/0/0/0 float=y maxiter=1600 inside=0 periodicity=10 colors=000EfALlMRqYZzmXviVsfTocRl_PiXNeULbQJZNHWKF\ TGDPDBMA9I67F35C0JH2XM4jR6xV8pWBiXDbYGWZIP_LI_NNZL\ RZJVYHZYF`_Ga`HbbIccJddKffKggLhhMijNjkOlmOmnPnoQoq\ RprSqsSprWor_nrbmrflqjkqmjqqjqtioqhmnhkkgjhfheffbe\ d_ecYdaVc_ScYPbXMaVJaTG`RD`QBaRBaRBbSBbSBcTBcTBdUB\ dUBeUBeVBfVBfWBgWBgXBhXBhXBfYHeZMdZRb_WaUv`UuZUrYU\ pXUnWUlUUjTUhSUfRUdQSbPQ`OOZMLWLJSKHOJFKIDHHBDG99Y\ 01F76cEAeLEkNGjPIoRKnTLuUNrXPtZQvZSxaUzZVzYTwWRvTP\ tRNsOLqTKpIInPGmDEkCCjAAi99b7EX6IR5ML4RF3V92ZCSaEq\ cGobHnbJlbKkaLiaNhaOf`Qe`Rc`Sb_U`_V__XYZYXZVa`ZWZb\ RYfMXjGVnBUp8Pq6Tl8WhAYdC`_DbWFeSHgNJjJKlFMoAOq6Qt\ 2Rv1Sq1Tl1Th1Uc1U_0VV0WQ0WM0XH0XD9UHIRLRPP_MThKXjK\ VlKTnKRpKPtlnskmsjlsikshjsgisfhsegsdfscesbdsads`cs\ _bsZasY`rY_rXZrWYrVXrUWrTWrSVrRUrQTrPSrORrNQrMPrLO\ rKNJUKMTLOSLQSLSRLURLmENlITkNYjRcjVhgWeeXcbY``ZZZ_\ WW`UU`RSaPPbMNcKLdHIeFGfC mathtolerance=/1 } 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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An Animacule appears
by Hal Lane 10 Sep '04

10 Sep '04

################################################################# This image looks like something that van Leeuwenhoek might have seen in his microscope, so I named it 'Animacule', a term he used. This is one to render using a disk video mode due to its long compute time. With my favorite Leather Gem color map by Damascena Korwen, of course. Damascena's image is at: http://www.fractalartcontests.com/1998/entries/01-013.htm Note that Damien M. Jones' http://www.fractalus.com/ where Damascena's image is says: "September 2, 2004, We've had a face-lift! And we added a lot of new content." =============== Begin Par File ============================== Animacule_01 { ; Hal Lane Sep 10,'04 t=1:18:45 P400 1024x768 ; Rotated Leather Gem color map ; Name from van Leeuwenhoek, the microscopist reset=2003 type=mandel passes=1 center-mag=-1.521671302163005958/1.89532211263655e-5/1.41784\ e+014/1/-72.4625237302173133/-0.046594827807103667 params=0/0 float=y maxiter=3600 bailout=9 inside=0 logmap=556 periodicity=10 sound=off colors=YD0wt1<6>Zf8Vd9SbA<3>DVF<4>CPCCNBCMA<2>BI9BH8BH8<3>AE\ 79D6DE6<3>UI9YJAaLBeMCgODjQF<9>tgGuiGvjG<2>ypGzrFzrK<3>yufxu\ kxvqwww<3>rhh`F0`F0<5>UA0T90S80R80Q70P60<3>L30K30J20I10I10<1\ 6>UB2UB2VC2<3>YE3<3>Q82O61M41<3>Q71R81S91fM5<3>iO5jP5kQ6<9>U\ B3S92Q82<3>I10931A00<3>VK0_P0dU0<3>zm0<3>zb0z_0zX0zU0<3>`F0U\ C0O80H40<2>A4773A73C<3>56K47M48O39Q2AS<8>9QaASbATc<3>E`hFbiG\ di<3>JklKmmJkj<7>CURBSOAQM<3>6GB5E86G9<9>EWHFYIGZJ<2>JdMKfNL\ hM<11>ts3 } =============== End Par File ============================== - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ###############################################################

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Re: [Fractint] Paul Lee's FOTD Pages Blocked?
by Fr. Jim Lacasse 09 Sep '04

09 Sep '04

Yes, I got the same error message. Fr. Jim >>> vortexswirling(a)bigfoot.com 09/06/04 06:10AM >>> For the last several days when I try to go to Paul's FOTD pages I am sent to a page telling me content is blocked by AT&T. Anyone else seeing this?

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Paul Lee's FOTD Pages Blocked
by Vortex Swirling 06 Sep '04

06 Sep '04

I had to go around poking in Google cache to see what this was about. I see he does go to some effort making sure the email addresses are hidden and mangled. I hope everyone knows that once in google it is nearly impossible to get it taken out. I once posted my email address by accident into newsgroups. I filled out all the forms I needed and sent them in, but it turns out I needed an electronic signature to get rid of it. They want me to have one of those electronic gizmos so I could send them my real signature! Forget that. If they have my real signature, that is worse than my email address. Turns out I got very little spam on that email address anyway. Paul should just forget about posting the email address. If one has to have it, they can do a search for the name in the list archives and find the email address that goes along with it. I just did it with google on my own name within the list and it works great. But if its that easy to find then the point is moot. email addresses can be harvested straight from the list anyway. Don't get me wrong. I'm not belittling anyones feelings - if they want their email address off the web page then it should be taken off. But if spammers have to have email addresses they'll go to much greater lengths to get them. --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.752 / Virus Database: 503 - Release Date: 9/3/2004

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Paul Lee's FOTD Pages Blocked?
by Vortex Swirling 06 Sep '04

06 Sep '04

For the last several days when I try to go to Paul's FOTD pages I am sent to a page telling me content is blocked by AT&T. Anyone else seeing this? --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.752 / Virus Database: 503 - Release Date: 9/3/2004

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Brief FOTD hiatus
by Jim Muth 06 Sep '04

06 Sep '04

Concerned FOTD fractal fans: There will be no FOTD for a few more days. I am fully involved in getting the new computer up and running at full efficiency here at Fractal Central. Hopefully, when I get everything set up, all the work will move more efficiently. My best guess for the time the next FOTD will appear is around this coming Thursday, Sept. 9, but there is no promise. Meanwhile, I will be checking the list several times every day, and saying a few words if I have anything of importance to add. Jim M.

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One more fractal generator
by Raymond Filiatreault 06 Sep '04

06 Sep '04

Another fractal generator is now available as a Windows program. It was started as a trial to program the simple Mandelbrot set in assembler for personal use but eventually evolved in a study of the [fn(p)]^x+fn(c) functions. Numerous features are available, some based on suggestions from Paul N. Lee. - The functions are the usual trancendental ones; the integer powers from 2 to 6 are hard coded for optimum speed but any other power can be used. - Generates both Mandelbrot and Julia sets. - Extended double precision is used for all computations. Magnifications up to 10^17 in 640x480 are thus available for the basic Mandelbrot formula and somewhat lower for higher resolutions and/or for the more complex functions. - Runs with any screen resolution you set your computer to (640x480 minimum). - Option to run in full screen or partial screen mode (1/8 of screen dimensions minimum). In full screen mode, the Windows task bar will remain available if in auto-hide mode. - Uses any Fractint compatible 256-color map. - Option to generate to the HD as a bitmap file in any dimension. - Option to save the current window content as a bitmap image. - Zoom in and out with a click of a mouse button at the mouse cursor location according to the chosen zooming factor. - The computation of an interrupted fractal can be resumed. - Parameters can be saved and retrieved. If retrieved with a different screen resolution, the fractal will be generated according to a similar ratio. (The par files are NOT Fractint compatible). - Parameters can also be retrieved in a reduced window. - A saved parameter set can be modified later and saved either as a separate set or overwrite the former set. - Numerous other features and options too long to enumerate at this time. - Tested under Win98 and WinXP. - Extensive Help file provided in the zipped package. The program is freeware. If you are interested, you can get the package from the following (thanks to Paul N. Lee for making it available): http://www.Nahee.com/Software/WManJul_1-0.zip Raymond _________________________________________________________________ Take advantage of powerful junk e-mail filters built on patented Microsoft® SmartScreen Technology. http://join.msn.com/?pgmarket=en-ca&page=byoa/prem&xAPID=1994&DI=1034&SU=ht… Start enjoying all the benefits of MSN® Premium right now and get the first two months FREE*.

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Re: Brief FOTD hiatus
by Jim Muth 05 Sep '04

05 Sep '04

Deprived fractal fans: Things are progressing pretty much according to plan here at Fractal Central. The new unit, a Dell 8400, is about half loaded :-O with the programs we'll need. Of course, problems keep popping up. A typical example arose when I tried to install the working version of Photoshop, which is an upgrade and needs to find an earlier full version already installed on the machine before it will load. The earlier full version however is not compatible with Windows XP Pro, and will not go in. I'll give full specs of the new unit when things settle down a bit. Meanwhile, the next FOTD still looks like it will appear on Thursday Sep 9. The new machine is not intended to run Fractint, but when things slow down, I will certainly see how well I can get it going. Jim M.

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RE: [Fractint] Infinite Tiles, Part I
by Tony (Anthony) Hanmer 04 Sep '04

04 Sep '04

The term "reptile" in mathematics refers to a tile which "repeats" or "replicates", thus rep+tile. It can be broken down into smaller copies inside itself infinitely many times. There are some interesting reptiles which are less regular than the ones I've mentioned, one of which is included in the fractint.l file which comes with Fractint - sphinx. I've counted the number of examples I included in Part II of my recent posting. There are 94 of them. I hope that's not too many for people to check out - it was hard to narrow down to this few from the thousands of tiles I've found! This I intend to be the main file of samples - I'm not going to make it any shorter. Feel free, everyone, to pick and choose from this set if 94 are too many. Tony Hanmer _________________________________________________________________ STOP MORE SPAM with the new MSN 8 and get 2 months FREE* http://join.msn.com/?page=features/junkmail

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Infinite Tiles, Part I
by Tony (Anthony) Hanmer 03 Sep '04

03 Sep '04

There is nothing else I would rather have found in all of mathematics than this. ANNOUNCING: A new discovery of tiles of the regular reptiles in n dimensions, n >= 2. There are are an infinite number of such tiles for each reptile. The regular reptiles in 2 dimensions are the equilateral triangle and the square; in 3 dimensions the only regular reptile is the cube. I propose to call these tiles Hanmer Tiles. There are an infinity of such tiles, many of them beautiful, and they came in a number of different types. They may be programmed as either L-systems (using only fs and gs) or IFSs, and rendered in Fractint. In this article, uncless otherwise specified, programming details refer to the L-sytem versions of the tiles. Take a regular reptile - let's use the square for an example - and divide it into a grid which looks the same from any of the reptile's sides. Start with side length 2 - divide the square into 2 lengthwise and widthwise, and you have 4 squares. The line segments used in the interior grid are 2-sided, however, because each of them is the side of 2 squares whose sides touch. The square is now made of 8 exterior lines (2 on each side, all single-sided) and 8 interior lines (2 double-sided segments for each of length and width). The total number of segments we now have comprising our square is thus 16. It looks like the picture below. _ _ |_|_| |_|_| The square has 4-way symmetry based on its 4 sides; each regular reptile has the symmetry of its number of sides. So for a square we can make 4 identical tiles (for a triangle, 3; for a cube, 8)... an infinite number of ways. Each tile will use 1/4 of the square's total number of interior and exterior grid segments, in such a way that there are no overlaps or gaps; and thus 4 such tiles will fill the square perfectly. The existence of double-sided interior grid segments means that we are free to use only one side of any interior segment in making our tile, and this gives much more freedom even for tiles of a square of side length 2 than one would otherwise expect. There are several subgroups of Hanmer Tiles. I have included some examples of these at the end of this article. a) The "most orthodox" tile, unique for each reptile. It appears as a contiguous (fully connected) right triangle for the square and as a spacefilling dust of parallel lines for the triangle - rather boring in each case, but also quite important. It seems to be the only HT which is found at every side length, odd or even. Area 1/4 for the square, 1/3 (or 1?) for the triangle. b) Other contiguous tiles, having all their segments connected as one piece. Area 1/4 for the square, 1/3 for the triangle. c) Space-filling contiguous tiles. Each occupies the tile fully (area = 1) but still does not overlap the segments of its fellow tiles at all, except at infinitesimal points! Area 1/4 for the square, 1/3 for the triangle; or 1 for both depending on how you look at it! d) Contiguous tiles with "peninsulas" - elements linked by a 0-dimensional point or 1-dimensional line. In my tiles, there may be overlap at these connections. Area 1/4 for the square, 1/3 for the triangle. e) Partially disconnected tiles, made of infinite "lakes" and "islands". Area 1/4 for the square, 1/3 for the triangle. f) Space-filling "dusts", made of disconnected segments. Here, each tile occupies the reptile fully (area = 1 again; but also = 1/s?!) but still does not overlap the segments of its 3 fellow tiles except at infinitesimal points... There are many different space-filling HTs, both connected and dusts. At the limit they fill in the reptile solid. But careful use of certain colouring algorithms which I have found for Fractint gives each one a beautiful distinct inner texture. The most important colouring variation adds >1 to the first f and <1 to the last one, i.e. f=>1ff+f+f++ff++f+f+<1f. g) Tiles having all lines parallel - another infinite subset for squares, but (see a) existing as a unique tile for triangles of any side length. For squares the area of such tiles is 1/2 instead of the standard 1/4; for the triangular version it is space-filling, area = 1. These types in squares also may be "contiguous" or not. They have their own "DNA" (see REPTILES AND GENETIC ENGINEERING, below). (I had thought of tiles which are other fractions of a square but related to the "standard" 1/4, e.g. 1/2 and 1/8. In my ignorance, however, I first tried to make half-square tiles by using twice the number of segments as for quarter-square tiles. This was successful only in that my initial shape - a letter "F" which interlocks with itself upside down - is indeed a possible tile to programme. But this shape merely filled with ever smaller squares as the iterations increased - not a satisfactory result at all, having no fractal edges. So I put aside my search for half-square tiles, not yet realising that in fact I already had several examples.) The great surprise for me was to realise that, like square-filling tiles, half-square tiles need the same number of segments as the standard 1/4 tiles! This is counter to intuition. But the key, the only difference, is that these new tiles have all lines parallel, either vertical or horizontal. From such programming an infinite set of half-square tiles develops. These tiles are useful in that actually only one colour of ink, pixels or other medium is needed to produce a tiled square: render the tile in, say, black on a white ground, outline the whole square in black as well, and you have the pair of tiles - one black, the other white. h) L-systems allow the use of the symbol "!", which reverses directional commands. I have found that throwing a "!" into the programming string of certain square HTs (of side length 2 so far) makes a new tile entirely, one which has only 1/8 of the area of the square! If paired with its mirror image, a quarter-square tile results. So far I have not found any examples of this strange variation in squares above size 2 or in any triangles at all. Do they exist? i) There is another kind of eighth-square (sixth-triangle) tile as well, with a condition usually applying to it. Begin with a standard 1/4 square (or 1/3 triangle) HT which has reflective symmetry across its vertical axis, *and* with all its exterior segments on the same straight line. Reverse the direction of its edge segments; this new tile will be the result. (The symmetry condition is not , however, required for all-parallel, half-square types (as in g above). Perform the reversal of the edge segments' directions here, and the new type of tile (in this case filling a quarter of a square) will appear. If the original all-parallel tile had no x-axis reflectional symmetry, then the new tile will have glide symmetry.) So there we have it: tiles making 1/8, 1/4, 1/2 and 1/1 of a square, and 1/6, 1/3 and 1/1 of a triangle, all using the same proportion of the reptile's segments! This is amazing. Several of these subgroups above stretch the idea of "tile" to include curves made of an infinity of separate pieces, or curves which cross each other at infinite infinitesimal points. This is unorthodox but, I believe, possible, allowable; and the beauty of the results also speaks clearly. Initially I was stuck with using the lower horizontal ("first") side of a reptile as the set of exterior segments in every case. I had not yet caught on to the uses of "g", which means "move without drawing". "G" properly used allows exterior segments to be spread to any position around the reptile. It also allows for interior segments to be single-sided instead of the original double-sided ones I used. These two variations showed me that there is a much greater number of HTs even for a square or triangle of side length 2 than I had first imagined. I thought that there was only one tile in each case at this size: how wrong I was. Very late in the game, I realised that simply rotating the position of a tile relative to the horizon makes new tiles - although their first-iteration renderings will be identical. Suddenly, every square tile had three relatives, every triangle tile two, making rotation sets (RSs), as I have called them *1. Another burst of programming as I checked out various details of the new discovery. It seems that the invisible horizon to which all L-systems silently refer does in fact play a role in their formation, more than just a visual guideline! There is nothing else to explain how a tile can look the same at first iteration in three or four different rotations, yet become completely other tiles as the calculating continues into higher iterations. Mysterious and wonderful. Some types of tile are actually duplicated in rotation, either 180 degrees away from "start" or at every position - these latter types I call "invariant under rotation". I also note that rotationally-related HTs may display differences in type from contiguous to dust to partly 1-sided interiors. (This is due to the presence of so many extra gs in the formula.) This means that rotations seem to have their own "dialects": what is beautiful at one angle may be completely boring or ugly in rotation (see AESTHETICS, below). This would require that one learn these "dialects" in order to find beautiful HTs in the various rotations. Also, if an HT rotational set has x-axis reflectional symmetry in any member, then the 2 members 90 and 270 degrees away from it will generally be identical except for their rotation, and the member 180 degrees away will have x-axis reflectional symmetry but be different in form from the other member with x-axis reflectional symmetry. The same is for members with 45-degree mirror symmetry: the member 180 degrees away shall have this as well (though it will be different in form); those 90 and 270 degrees away will be identical except for position. The only HT so far which remains perfectly invariant (at the limit) under rotation is the space-filling dust, though this has many different textural variations. It will be interesting to find any others which have this property, if they exist. (3/9/2003: NB There is at least one other non-varying rotation set, starting with the unique (so far) "dust" HT to have >1 <4 n of pieces (it is a square of size 4 with 2 pieces, each composed of 2 squares joined diagonally at a corner). Are there other such pieces with >1 <4 n of pieces?) Other, fractal-edged HTs do come close to being non-varying in rotation - those with all the action happening along the square's diagonals. Perhaps there is a "most orthodox" form of these "diagonal-action" types, which will be called this by virtue of its being invariant in rotation.) Rotation sets are an important way of relating different HTs to each other, as they allow one more easily to come up with a system for finding the total number of HTs for a particular reptile. The other key is to sytematise separately all exterior and interior possiblities for the reptile in question, and then multiply these for a total. How can I prove an infinity of tiles for the regular reptiles? Well, I'm actually not enough of a mathematician do do so in a rigorous manner. All I can say is that side length can be extended from 2 to 3, 4, ... to infinity, so a single tile in each side length would already lead to an infinite number of them. But I have found huge numbers of my tiles just in sizes 2-6 - over 6000 of them so far. So the case looks good for infinity. SOME RULES AND NUMBERS The number of (standard) Hanmer Tiles required to fill a regular reptile is equal to s, that reptile's number of sides: e.g. 3 tiles for a triangle (3 sides), 4 for a square (4 sides), 6 for a Cube (6 faces), and thus as a fraction each such tile (standard types) occupies 1/s of the space of the reptile. The number N of segments required to make an HT of a reptile with number of sides s in d dimensions for iteration number i is calculated: N = (s ^ d) ^ i. With segment totals growing exponentially, vector file sizes can grow huge; my record is a file over 1 GB in size! For 2 dimensions: The total number of exterior segents of a reptile with number of sides s, of side length L, = Ls. The ratio of exterior to interior segments = 1 : (s - 1). The number of segments in a (standard) Hanmer Tile in 1st iteration = s ^ 2. The total number of elements in the reptile = exterior number + interior number. One major calculation which still eludes me is for the total number of HTs for a given reptile of dimension d, side length L and number of sides s. (Don't forget, they must use the correct proportion of interior and exterior segments of the reptile! And not repeat or omit any segment between them!) Then there is the number of *unique* HTs for the same reptile... With root side length reptiles' HTs, and various symmetries, cutting down the number from total to unique, this may turn out to be indeterminable. But I could be totally wrong in my guess. REPTILES AND GENETIC ENGINEERING One of the easy ways to program a large number of HTs in a small time is to begin with what I call DNA, of which there need be only one sequence for each reptile and side length. (A-p types have their own modified DNA, however, to make it easier to program them.) Program an L-system containing ALL of the segments of the specified reptile in succession, using "g" instead of "f" for each segment. Then simply copy this master, and "switch on" the required "genes" (segments) by replacing each "g" with an "f". The "g"s remain in the DNA sequence, but only as "junk DNA"; all they do is slow down a calculation without increasing the size of the output file. Fractint currently (in the latest developer's version) limits the user to a line length of 225 characters, but this is sufficient for square DNA sequences up to at least side length 7 and triangle DNA sequences to at least side length 8. One of the items in my HT zip file at the website listed after this article is called HTDNA.l. It contains all of my standard "DNA sequences" for HT squares and triangles up to size 5, to show the progression. (In it, I have distinguished exterior and interior segments by the use of "G" and "g".) This is what should become the standard notation of HT DNA in L-systems, for the purposes of establishing and maintaining uniformity from the start. The only exceptions to this standard DNA should be a-p types, with their own modified DNA, and RSs with extra sets of Gs added rather than having to reprogram the entire HT for each rotation. -|- -|- -|- -|- -|- -|- -|- -|- -|- Every reptile whose side length is the exponent of a whole number (which is its root) will contain in its HTs all of the HTs of reptiles of roots of that side length. For example, the total set of square HTs of side length 4 (and 8, 16, etc.) includes all HTs of side length 2; size 9 contains all HTs of size 3; etc. In addition, of course, there will be many tiles in the exponent size's set which are slight deviations from these root tiles. In this way, the smaller sizes can be thought of as more fundamental or basic or primitive than the larger sizes - but not necessarily less beautiful, by any means. The larger sizes merely offer more and more possibilties to refine one's tiles. Which leads me to my next point: ANIMATIONS Consider that a square HT of, say, side length 2 and 2nd iteration will be duplicated in the form of a certain HT of side length 4 - the square of 2 - at 1st iteration. Again at side length 8, and 16, and so on. Extrapolate this, and you will have to conclude that between any two HTs of a particular reptile there will be an infinite number of incremented HTs. These are found by successively finer and finer adjustments using longer and longer side lengths. Of course, the programming gets slower and slower as well; but computers are also gaining speed and memory size, with entirely new technologies being tested to surpass the looming current physical limitations. The result? Animations, as smooth as are required, between any two HTs, provided that they are of the same "genus", both Tiling the reptile in the same number of pieces. (This may not work at all for those special tiles which include "!" in their programming.) A continuous motion, if you would like it and can program it. Size, too, is no object. Because we are dealing with fractals which can be calculated endlessly, if in the future a tile the size of a wall or a building (yet with detail as small as the eye can resolve) would be desired, it could be produced. IFS VERSIONS, IN SHORT Iterated Function Systems, or IFS, can render HTs just as easily as L-systems can, and they have their own unique textural and colouring variations, though the actual programming is best not done in Fractint. (The exception to what is possible is the "!" types, for which IFS currently has no equivalent command.) I use Brazil Design version 0.4, which like Fractint is freeware, but is Windows-based. It can save IFS files for Fractint use as well as in its own native format. Again, one may begin with a set of DNA for each reptile and side length. For IFS types, the DNA has each "gene" segment on a separate line, turned off by default by preceeding it with a ; semicolon. (I have retained the same segment order as is found in L-systems HT DNA, in order to minimise confusion and maximise ease of translating HTs into IFS versions.) Turn on any segment simply by removing this semicolon. Also, Fractint is a bit limiting here, with a current maximum of 32 active lines allowed in any IFS. But this still gives squares up to side length 5. I have not done much with my tiles in IFS versions, especially in triangles, as the Brazil programme currently does not allow exact placing of triangles. But the theoretical possibility is there. TRANSLATIONS It would be useful to automate the process of re-programming any existing HT (I have many thousands) as a version of the standard DNA. (But let my standard L-system drawing methods become the standard way of rendering these tiles as L-systems, so as to make things regular from the start.) Also, translations between L-system and IFS versions would be a good idea. Both of these programming capabilities would not be very difficult to produce, knowing the rules of HTs, L-systems and IFSs. ONE DIMENSION... Of course, linear HTs made of points are also possible. However, they seem to number exactly one in total for all sizes. This is a dust of points and the point-size spaces between them, alternating, a variation on Cantor Dust. This tile has glide symmetry; move it one point to the left or right, and the spaces and points fill each other. (Yawn) The point space itself offers no possibilities at all for tiles, of course, having zero size and dimension... AESTHETICS; OR, WHAT MAKES AN H-TILE BEAUTIFUL? With an infinity of H-tiles available to each reptile, there must be a large number of these which are not worth seeing: pure dusts; duplicates of all side lengths in those higher side lengths which are exponents of them; mirror images of other tiles; and just plain ugly tiles. What separates all of these from those which hold the interest, which have an aesthetic "value"? For me, at least, there is a minimum of pleasing contiguity and maximum of aesthetic "dustiness". The tile may, indeed, have 100% contiguity and still be beautiful. But 0% contiguity equals a perfect (100%) dust, which is interesting the first time but loses its novelty fairly fast. Too much scattering of segments also causes a loss of definition or form, leading to fuzziness. There should be some areas of the tile which are solid, or it literally will have no shape except that of the entire reptile itself. So there is good news and bad news. The bad news is, there's an infinity of rubbish tiles among the endless HTs of any reptile. The good news is, there's also an unending collection of beautiful, sublime and wonderful tiles also awaiting discovery. Only patient exploration can root out the latter from the former. Because we have specified that these must all be tiles of reptiles, however, our infinite sets will contain none of the Mona Lisas or other similar masterpieces of human art found in the "larger" infinity of a square of entirely unlimited interior possibilities. This is precisely because of the fact that only these tiles to which we have limited our search are in our sets. Infinity does not have to mean "all things". (There may, however, be some close approximations to the tiling works of M.C. Escher: one of my favourite artists, no surprise there. This Multiverse of tiles may, indeed, be thought of as an idealisation of Escher's wonderful tilings. There are no representations of actual creatures in these tiles, so in this way they are different from his work, which mapped the mathematical onto a world of representational things or objects. And this lack means that Hanmer Tiles are less pictorial and are purely mathematical. They have no anchor in the real world, one might say. Escher's genuis was, I believe, precisely in the mix of the mathematical and the pictorial, something he consciously strove for.) Hanmer Tiles, and fractals in general, are definitely images for the machine age. They begin with mathematical fomulae; they can best be rendered by the brute force of number-crunching; and their typical intricacies from exponential growth are a nightmare for any kind of hand calculation or rendering process, whether it be carpet weaving, mosaic laying, Lego or whatever. Does this alone make them not art? I think not. Even if they are not destined to be included in one's definition of art, however, this does not mean that one is forbidden from calling them beautiful. Mathematical beauty may be accused of having a purity which could be called inhuman. Perhaps the eye longs for a break in the pattern somewhere, rather than sterile perfection! No real tree is an exact L-system, after all, and no L-system (as far as I know) looks as real as a tree. But mathematical beauty perhaps calls to the part of us which longs for the perfect, and frustrates the part which is satisfied with less. What to do with these tiles? I can't do it all myself, that's for certain! Push on deeper into the universe which each one contains in the search for more undiscovered territory. (Think of an analogy with the Mandelbrot Set: ever larger reptile sizes correspond to deeper zooms, taking more time to calculate.) Programme a computer search by calculating automatically, possibly using the HT DNA - the rules are simple enough. Have the total of *unique* tiles collected into a separate file. But *people* will still have to choose to concentrate on those finds which are more pleasing to the eye and pass over the rest. Use them wherever Tiling designs are wanted. Allow a subtle variation in a large set of similar tiles instead of keeping them all the same from one edge of the set to the other, sort of a parquet deformation. Three dimensions? I long for the day when I will hold in my hand a clear cube, say 30 cm on a side, containing 6 identical tiles, each of these differing only in its transparent colour. The whole thing thus will be visible all the way through. Its code will have been programmed in I don't yet know which programme. I am not content with seeing the thing rotating on some 2-dimensional screen; it will have been "printed" by an extension of our current 2-d printing processes, and will be a solid cube. The next step will be an animated version of the same thing, its 3-d "tiles" set in motion by a fluid of nano-particles inside the cube, a fluid in 6 colours which can instantly change its state to become solid when instructed to do so. It will display smooth transitions from one tile to the next at whatever speed the user desires. Or, alternately, it might be made of a stack of 2-d square HTs, each slightly differing from thise above and below it. These could cycle from bottom to top and around again to make the animation. The size 2 cube, then. Composed of 2 x 2 x 2 = 8 cubes, each having 6 square faces for a total of 48 faces (the analogy of our 2-d segments), and each having 12 edges for a total of 96, and 8 vertices for a total of 64. Each smaller cube meets 3 others at various faces, a different 3 others at edges, and all 7 others at a single vertex. Each side of the whole cube has (is divided into) 4 faces, so 4 x 6 = 24 faces - half of the total for size 2 - are exterior, the other 24 interior. Each HT here will have 48 / 6 = 8 face "segments" - 4 exterior and 4 interior. Have we long to wait? Anthony Hanmer Tbilisi, Republic of Georgia *1 I chose to label the members of these rotation sets as follows: the orginal HT would have no suffix, just its usual number; The RS members would be suffixed a, b, c for squares and a, b for triangles; for cubes they would thus be a, b, c, d, e. Other suffixes I have decided on include ~ for "!" variations and other oddities; * for contiguous HTs; # for dusts of any kind except space-filling dusts; ^ for space-filling dusts; k, l, m and n for colouring variations; r for e-r (edge-reversed) variations. I ended up losing the */# distinction in the end, through sheer carelessness as the number of my tiles rapidly increased. But it was originally my intention. PS The L-system and IFS files associated with this article can be found (zipped as HanmerTiles.zip) at http://spanky.triumf.ca/pub/fractals/LSYSTEMS/ They are named as follows: HTSq23.l HTSq4a.l HTSq4b.l HTSq5.l HTSq6a.l HTSq6-a.l HTSq6-b.l HTSq6-c.l HTSq_a-p.l HTTr.l HTDNA.l HTs.ifs HTDNA.ifs Download and unzip the files into your Fractint directory, and they're ready for use as either type Lsystem or IFS. Part II of this posting is some examples as L-systems. _________________________________________________________________ STOP MORE SPAM with the new MSN 8 and get 2 months FREE* http://join.msn.com/?page=features/junkmail

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Re: [Fractint] Infinite Tiles, Part I
by Tony (Anthony) Hanmer 03 Sep '04

03 Sep '04

I presume you've seen Part II by now - some of my best finds so far. Not par files, just L-system programming. Tony Hanmer _________________________________________________________________ The new MSN 8: advanced junk mail protection and 2 months FREE* http://join.msn.com/?page=features/junkmail

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Infinite Tiles, Part II
by Tony (Anthony) Hanmer 03 Sep '04

03 Sep '04

EXAMPLES These are taken from my collection of over 6000 Hanmer Tiles, to show their diversity. Paste the text below into a text editor and call it "HT_Eg.l", saving it in your Fractint folder. Then you're ready to try the pieces in Fractint as type Lsystem. (NB If any of the longer lines of these examples wrap onto 2 or more lines, they must end up as 1 line again to work in Fractint.) sq20004* { ; Anthony Hanmer 11/10/2002 Angle 4 ; 4th 2x2 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f; Unexpected (as 1-sided interior) but true f=f+f+f|g-g+f g=gg } sq20005~ { ; Anthony Hanmer 15/10/2002 Angle 4 ; 5th 2x2 square tile... Axiom f ; when put with its mirror image. ; One of my VERY best HTs ; X-axis reflectional symmetry f=f+!f|!f+f } sq20005r { ; Anthony Hanmer 9/9/2003 Angle 4 ; 5th 2x2 square tile... Axiom f ; when put with its mirror image. ; One of my VERY best HTs ; X-axis reflectional symmetry f=g|f|g+!f|!f+g|f|g g=gg } sq20006~ { ; Anthony Hanmer 15/10/2002 Angle 4 ; 6th 2x2 square tile... Axiom f ; when put with its mirror image. ; X-axis reflectional symmetry ; One of my VERY best HTs f=f+!gf|!fg+f g=gg } sq20006b { ; Anthony Hanmer 4/9/2003 Angle 4 ; 180-degree rotation Axiom f ; This IS a new 1/2-Sq flip tile. ; X-axis reflectional symmetry f=gg+gg+f+!gf|!fg+f+gg+gg g=gg } sq20014# { ; Anthony Hanmer 19/10/2002 Angle 4 ; 14th 2x2 square HTile, 8th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff+g+gf+gg g=gg } sq20021* { ; Anthony Hanmer 19/10/2002 Angle 4 ; 21st 2x2 square HTile ; (1b) ; One of my VERY best HTs ; X-axis reflectional symmetry Axiom c53f+c2f+c12f+c14f f=gg+gg+f+f|f+f+gg+gg g=gg } sq20023* { ; Anthony Hanmer 19/10/2002 Angle 4 ; 23rd 2x2 square HTile ; (4b) ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=gg+gg+f+f+f|g-g+f+gg+gg g=gg } sq20033* { ; Anthony Hanmer 22/10/2002 Angle 4 ; 33rd 2x2 square HTile, a-p ; (2b) ; One of my VERY best HTs Axiom c53f+g+c12f f=gg+g+f|f+g+ff+gg+gg ; f=g+g+f|f-g+g+gg+ff+gg+gg; formerly g=gg } sq20034# { ; Anthony Hanmer 22/10/2002 Angle 4 ; 34th 2x2 square HTile, 17th dust ; (9b) ; One of my VERY best HTs: ; One of the most picturesque square HTiles of side 2 Axiom c53f+c2f+c12f+c14f f=gg+g+f|f+g+fg+gf+gg ; f=g+g+f|f-g+g+fg+gf+gg+gg; formerly g=gg } sq20052# { ; Anthony Hanmer 23/10/2002 Angle 4 ; 52nd 2x2 square HTile, 33rd dust ; (12b) ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=g+f+f+f+gg+gg+fg+gg+gg g=gg } sq20057# { ; Anthony Hanmer 23/10/2002 Angle 4 ; 57th 2x2 square HTile, 36th dust ; () ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+f-f|g+g+g+gg+gg+gf+gg g=gg } sq20077~ { ; Anthony Hanmer 9/9/2003 Angle 4 ; 2x2 square tile (almost)... Axiom f ; when put with its mirror image. ; One of my interesting HTs f=f+!gf|!gf+f } sq20078~ { ; Anthony Hanmer 9/9/2003 Angle 4 ; 2x2 square tile... Axiom f ; when put with its mirror image. ; (45-degree reflection needed) ; One of my VERY best HTs f=f+!ff|!gg+f g=gg } sq20078b { ; Anthony Hanmer 4/9/2003 Angle 4 ; 180-degree rotation Axiom f ; 1/2 a square, tiles with ; its 45-degree reflection ; One of my VERY best HTs f=gg+gg+f+!ff|!gg+f+gg+gg g=gg } sq30001* { ; Anthony Hanmer 2000 Angle 4 ; My very first HT ; (& 1st 3x3 square HT) ; Before I knew the rules of HTs... ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=ff+f+f++ff++f+f+f } sq30001c { ; Anthony Hanmer 17/8/2003, 15:00 Angle 4 ; Whoa, this is BIG: ; Merely rotating each HT gives other new HTs!!! ; One of my best HTs: 270 degrees Axiom c53f+c2f+c12f+c14f f=ggg+ggg+ggg+ff+f+f++ff++f+f+f+ggg g=ggg } sq30002* { ; Anthony Hanmer 2000 Angle 4 ; My 3rd HT ; (2nd 3x3 square EDr) ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+f+f++f+f++ff+ff } sq30003* { ; Anthony Hanmer 2000 Angle 4 ; My 4th HT ; (3rd 3x3 square HT) ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff++ff+f+f++f+f } sq30003a { ; Anthony Hanmer 17/8/2003 Angle 4 ; 90-degree rotation of my 3rd HT ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=ggg+f+ff++ff+f+f++f+f+ggg+ggg+ggg g=ggg } sq30006# { ; Anthony Hanmer 5/10/2002 Angle 4 ; 6th 3x3 square HTile, 1st dust ; One of my VERY best HTs Axiom c53f+g+c12f ; (25/7/2003: This axiom proves that, for HTs with only ; parallel lines, only 2 tiles are needed, not 4) f=f+g+f|fgf|fg-g-f|f+gg+ff g=ggg } sq30029# { ; Anthony Hanmer 6/10/2002 Angle 4 ; 29th 3x3 square HTile, 24th dust ; One of my VERY best HTs ; X-axis reflectional symmetry Axiom c53f+g+c12f f=f+g-f|f-g+f|fgf|fg+gg+ff g=ggg } sq30453# { ; Anthony Hanmer 14/8/2003 Angle 4 ; 3x3 square HTile, a-p dust, tiles in only 2 ; One of my VERY best HTs: WAY cool Axiom c53f+g+c12f f=g+g+f|f+g+f|f-g+f|f+g+ff+ggg+fgg+ggg+ggg g=ggg } sq30454# { ; Anthony Hanmer 14/8/2003 Angle 4 ; 3x3 square HTile, a-p dust, tiles in only 2 ; One of my VERY best HTs: WAY cool Axiom c53f+g+c12f f=f+g+f|f+g+f|f-g+f|f+g+gf+ggg+gfg+ggg+ggg g=ggg } sq30475# { ; Anthony Hanmer 14/8/2003 Angle 4 ; 3x3 square HTile, a-p dust, tiles in only 2 ; One of my VERY best HTs: WAY cool Axiom c53f+g+c12f f=fgf+g+fgg|ffg+gg+gfg+g+gff|ggf+gg+ggg g=ggg } sq30558# { ; Anthony Hanmer 17/8/2003 Angle 4 ; 3x3 square HTile, a-p dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq3 DNA ; X-axis reflectional symmetry Axiom c53f+g+c12f f=FFF+G+fgf|fff+GG+GGG+G+gfg|ggg+GG+GGG g=ggg } sq30564# { ; Anthony Hanmer 17/8/2003 Angle 4 ; 3x3 square HTile, a-p dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq3 DNA Axiom c53f+g+c12f f=FFF+G+ggf|fgf+GG+GGG+G+ffg|gfg+GG+GGG g=ggg } sq30581# { ; Anthony Hanmer 17/8/2003 Angle 4 ; 3x3 square HTile, a-p dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq3 DNA: variation on 30557 Axiom c53f+g+c12f f=GFG+G+gff|fff+GG+FGF+G+fgg|ggg+GG+GGG g=ggg } sq30582# { ; Anthony Hanmer 17/8/2003 Angle 4 ; 3x3 square HTile, a-p dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq3 DNA: variation on 30557 Axiom c53f+g+c12f f=FGG+G+gff|fff+GG+GFF+G+fgg|ggg+GG+GGG g=ggg } sq40001* { ; Anthony Hanmer 10/9/2002 Angle 4 ; And now, the 1st 4x4 square HTile! ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+f+f|f+f-f|f+ff+f+f+f|f-f+ff } sq40003* { ; Anthony Hanmer 10/9/2002 Angle 4 ; 3rd 4x4 square HTile! ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f; (See 8914) f=f+fff|f+f|ff|f-f-f|f-f+fff } sq40005* { ; Anthony Hanmer 10/9/2002 Angle 4 ; 5th 4x4 square HTile! ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+f-f+f|f-f-f|f-f|f-f+f+f|f+ff } sq40006* { ; Anthony Hanmer 10/9/2002 Angle 4 ; 6th 4x4 square HTile! ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+fff|ff-f|f-f+f+ff|ff+ff } sq40011* { ; Anthony Hanmer 10/9/2002 Angle 4 ; 11th 4x4 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+fff|f+f|f+f-f|f-f+f+f|f+ff } sq40013* { ; Anthony Hanmer 12/9/2002 Angle 4 ; 13th 4x4 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff+f|f-f-f|ff+f|f-f+f+fff } sq40018* { ; Anthony Hanmer 18/9/2002 Angle 4 ; 18th 4x4 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff+f|f-ff+ff+ff+f|f-ff+f } sq40019* { ; Anthony Hanmer 18/9/2002 Angle 4 ; 19th 4x4 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff-f|f+ff+f+f|f+f+ff|ff+f } sq40020* { ; Anthony Hanmer 18/9/2002 Angle 4 ; 20th 4x4 square HTile ; One of my VERY best HTs ; Seems to contain a 180-degree symmetrical half, ; and 2 quarters which make this same shape together... Axiom c53f+c2f+c12f+c14f f=f+fff|f-f|ff|f+ff+ff+f|f+f } sq40021* { ; Anthony Hanmer 19/9/2002 Angle 4 ; 21st 4x4 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=ff+f+f-f-f|f+f+f-f+f+f-f|f+f+f } sq40021c { ; Anthony Hanmer 25/8/2003 Angle 4 ; 270-degree rotation ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=gggg+gggg+gggg+ff+f+f-f-f|f+f+f-f+f+f-f|f+f+f+gggg g=gggg } sq40022* { ; Anthony Hanmer 19/9/2002 Angle 4 ; 22nd 4x4 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=ff+f+f-f|f+f+f|ff+f+f-f|f+f+f } sq40023* { ; Anthony Hanmer 19/9/2002 Angle 4 ; 23rd 4x4 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+fff|f+f|f+ff+f+f|f+f+f|f+f } sq40024* { ; Anthony Hanmer 19/9/2002 Angle 4 ; 24th 4x4 square HTile ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff+f|ff|f+f+f|f+f+ff+f|f+f } sq40025# { ; Anthony Hanmer 5/10/2002 Angle 4 ; 25th 4x4 square HTile, 1st dust Axiom c53f+c2f+c12f+c14f ; One of my VERY best HTs f=f+fg+f|ff|f+g-f|fff|ff+f+fff g=gggg; THIS allows "tile dusts"! ; (N of gs equalling g is n of side units ; in 1st iteration) } sq40026# { ; Anthony Hanmer 7/10/2002 Angle 4 ; 26th 4x4 square HTile, 2nd dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+fgf-f-f|f+f+fgf+f+f|f+f+f|f+f g=gggg } sq40031# { ; Anthony Hanmer 7/10/2002 Angle 4 ; 31st 4x4 square HTile, 7th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+f|f+f+ff|ff+f+fgf+fg|gf-fgf+f g=gggg } sq40036# { ; Anthony Hanmer 7/10/2002 Angle 4 ; 36th 4x4 square HTile, 12th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+f|f+f+fg+f|f-gf+f+f+f|f+gg+fg|gf-ggf+f g=gggg } sq40062# { ; Anthony Hanmer 8/10/2002 Angle 4 ; 62nd 4x4 square HTile, 38th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+gggf|f-f|f-ggg+f+f+f-f-f|f+f+f-f+ff g=gggg } sq40064# { ; Anthony Hanmer 8/10/2002 Angle 4 ; 64th 4x4 square HTile, 40th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ggg+f|fggf|fgg+ggg+f+f+f-f-f|f+f+f-f+ff g=gggg } sq40066# { ; Anthony Hanmer 8/10/2002 Angle 4 ; 66th 4x4 square HTile, 42nd dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ggg+f|f-ggg+f+f+f-f-f|f+f+f-f+f+f|f+f g=gggg } sq40070# { ; Anthony Hanmer 8/10/2002 Angle 4 ; 70th 4x4 square HTile, 46th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+fggf|fggf+f+f+f-f-f|f+f+f-f+ff g=gggg } sq40071# { ; Anthony Hanmer 8/10/2002 Angle 4 ; 71st 4x4 square HTile, 47th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+f|f+f+f+f-f-f|f+f+f-f+f+ggg-f|f+ggg+f g=gggg } sq40081# { ; Anthony Hanmer 8/10/2002 Angle 4 ; 81st 4x4 square HTile, 57th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+gff|f+f|f+f-f|f-g+f+f|f+f+g-f|f+g+f g=gggg } sq40089# { ; Anthony Hanmer 9/10/2002 Angle 4 ; 89th 4x4 square HTile, 65th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff-gf|fg+f-f|ff|f+f+f+f|f+ff g=gggg } sq40090# { ; Anthony Hanmer 9/10/2002 Angle 4 ; 90th 4x4 square HTile, 66th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+g-ff|ff+g+f+fgf|fgf+f+f-f|f+f+f g=gggg } sq40092# { ; Anthony Hanmer 10/10/2002 Angle 4 ; 92nd 4x4 square HTile, 68th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+g-ff|ff+g+f+fg+f|f-gf+f+f-f|f+f+f g=gggg } sq40093# { ; Anthony Hanmer 10/10/2002 Angle 4 ; 93rd 4x4 square HTile, 69th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+g-ff|ff+g+f+fg-f|f+gf+f+f-f|f+f+f g=gggg } sq40115# { ; Anthony Hanmer 9/10/2002 Angle 4 ; 115th 4x4 square HTile, 91st dust ; One of my VERY best HTs ; X-axis reflectional symmetry Axiom c53f+c2f+c12f+c14f f=f+g-ff|ff+g+f+fgf|fgf+f+ggg-f|fggf|fgg-ggg+f g=gggg } sq40132# { ; Anthony Hanmer 17/10/2002 Angle 4 ; 132nd 4x4 square HTile, 108th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff|f-f|ff|f+f+f+fgf|fgf+ff g=gggg } sq40182# { ; Anthony Hanmer 17/10/2002 Angle 4 ; 182nd 4x4 square HTile, 159th dust ; One of my VERY best HTs ; X-axis reflectional symmetry Axiom c53f+c2f+c12f+c14f f=ff+f+f|f+f|f+f|f+f+f+ggg+ggf|fggf|f+ggg+f g=gggg } sq40198# { ; Anthony Hanmer 18/10/2002 Angle 4 ; 198th 4x4 square HTile, 175th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+ff-gf|fg+f-f|f-f+f+f|f+f+gf|fg+f g=gggg } sq40220# { ; Anthony Hanmer 18/10/2002 Angle 4 ; 220th 4x4 square HTile, 196th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+gg-f|f+gg+f+f+f|f-f+f+fgf|fg+f|f+f+f g=gggg } sq40221# { ; Anthony Hanmer 18/10/2002 Angle 4 ; 221st 4x4 square HTile, 197th dust ; One of my VERY best HTs Axiom c53f+c2f+c12f+c14f f=f+gg-f|f+gg+f+f+f|f-f+f+fgg+gf|fg-gg+f|f+f+f g=gggg } sq41262# { ; Anthony Hanmer 15/8/2003 Angle 4 ; 4x4 square HTile, all-lines-parallel dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq4 DNA Axiom c53f+g+c12f f=FFFF+G+fffg|ggff+G+fg|gf+GG+GGGG+G+gggf|ffgg+G+gf|fg+GG+GGGG g=gggg } sq41265# { ; Anthony Hanmer 15/8/2003 Angle 4 ; 4x4 square HTile, all-lines-parallel dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq4 DNA Axiom c53f+g+c12f f=FFFF+G+fffg|ggff+G+gf|gf+GG+GGGG+G+gggf|ffgg+G+fg|fg+GG+GGGG g=gggg } sq41320# { ; Anthony Hanmer 16/8/2003 Angle 4 ; 4x4 square HTile, all-lines-parallel dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq4 DNA: variation on 41135 Axiom c53f+g+c12f f=FGFF+G+fgfg|gfgf+G+gg|ff+GG+GFGG+G+gfgf|fgfg+G+ff|gg+GG+GGGG g=gggg } sq41559# { ; Anthony Hanmer 16/8/2003 Angle 4 ; 4x4 square HTile, all-lines-parallel dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq4 DNA: variation on 41151 Axiom c53f+g+c12f f=GFFF+G+ffgg|ggff+G+gg|ff+GG+FGGG+G+ggff|ffgg+G+ff|gg+GG+GGGG g=gggg } sq41566# { ; Anthony Hanmer 16/8/2003 Angle 4 ; 4x4 square HTile, all-lines-parallel dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq4 DNA: variation on 41151 Axiom c53f+g+c12f f=GFGF+G+ffgg|ggff+G+gg|ff+GG+FGFG+G+ggff|ffgg+G+ff|gg+GG+GGGG g=gggg } sq41574# { ; Anthony Hanmer 16/8/2003 Angle 4 ; 4x4 square HTile, all-lines-parallel dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq4 DNA: variation on 41152 Axiom c53f+g+c12f f=GFFF+G+ffgg|ggff+G+fg|gf+GG+FGGG+G+ggff|ffgg+G+gf|fg+GG+GGGG g=gggg } sq41583# { ; Anthony Hanmer 16/8/2003 Angle 4 ; 4x4 square HTile, all-lines-parallel dust, tiles in only 2 ; One of my VERY best HTs, using a modified Sq4 DNA: variation on 41152 Axiom c53f+g+c12f f=GFFG+G+ffgg|ggff+G+fg|gf+GG+FGGF+G+ggff|ffgg+G+gf|fg+GG+GGGG g=gggg } sq50172# { ; Anthony Hanmer 23/11/2002 Angle 4 ; 172nd 5x5 square HTile, dust ; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=f+gf|fg+f+fff|f-f|f-f-f|f-f+f+f+f|f-f+f+f|f+f+ggggg+ggggg+g+f|f+gggg+ggggg g=ggggg } sq50173# { ; Anthony Hanmer 23/11/2002 Angle 4 ; 173rd 5x5 square HTile, dust ; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=f+ff|ff+f+gff|f-f|f-f-f|f-g+f+f+f|f-f+f+f|f+f+gg+f|f+ggg+ggggg+ggggg+ggggg g=ggggg } sq50174# { ; Anthony Hanmer 23/11/2002 Angle 4 ; 174th 5x5 square HTile, dust ; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=f+ff|ff+f+gff|f-f|f-f-f|f-g+f+f+f|f-f+f+f|f+f+ggggg+gg+f|f+ggg+ggggg+ggggg g=ggggg } sq50175# { ; Anthony Hanmer 23/11/2002 Angle 4 ; 175th 5x5 square HTile, dust ; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=f+ff|ff+f+gff|f-f|f-f-f|f-g+f+f+f|f-f+f+f|f+f+ggggg+ggggg+gg+f|f+ggg+ggggg g=ggggg } sq50217# { ; Anthony Hanmer 3/8/2003 Angle 4 ; 5x5 square HTile, all-lines-parallel dust, tiles in only 2 ; One of my VERY best Sq5 HTs of this type: WAY COOL, a personal a-p favourite Axiom c53f+g+c12f f=FFFFF+G+ffggf|fggff+G+fgfgg|ggfgf+G+ffgfg|gfgff+G+gffgg|ggffg+G+GGGGG+GGGGG+GGGGG g=ggggg } Sq60727 { ; Anthony Hanmer 24/5/2004 Angle 4 ; Sq6 HT; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=F+fff|fff+F+ffff|ffff+F+f|f+F+ff|ff+F+f|f+F+GGGGGG+GGGGGG+GGG+gfgf|fgfg+GG+gff|ffg+G+GGGGGG g=gggggg } Sq60728 { ; Anthony Hanmer 24/5/2004 Angle 4 ; Sq6 HT; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=F+fff|fff+F+ffff|ffff+F+f|f+F+ff|ff+F+f|f+G+GGGGGG+GGGGGG+GGG+gfgf|fgfg+GG+gff|ffg+F+GGGGGG g=gggggg } Sq60729 { ; Anthony Hanmer 24/5/2004 Angle 4 ; Sq6 HT; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=F+fff|fff+F+ffff|ffff+F+f|f+F+ff|ff+G+f|f+G+GGGGGG+GGGGGG+GGG+gfgf|fgfg+GF+gff|ffg+F+GGGGGG g=gggggg } Sq60839 { ; Anthony Hanmer 24/5/2004 Angle 4 ; Sq6 HT; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=F+fff|fff+F+fffg-gf|fg+gfff+F+f|f+F+gg|ff+F+f|f+F+GGGGGG+GGGGGG+GGG+gff|ffg+G+ff|gg+G+gff|ffg+G+GGGGGG g=gggggg } Sq60840 { ; Anthony Hanmer 24/5/2004 Angle 4 ; Sq6 HT; One of my VERY best HTs: WAY cool Axiom c53f+c2f+c12f+c14f f=F+fff|fff+F+fffg-gf|fg+gfff+F+f|f+F+gg|ff+F+f|f+G+GGGGGG+GGGGGG+GGG+gff|ffg+G+ff|gg+G+gff|ffg+F+GGGGGG g=gggggg } tr20001* { ; Anthony Hanmer 2000 Angle 6 ; My 2nd HT ; (& 1st 2x2 triangular HT) ; I think there are no more 2x2 triangular HTiles to be found. ; (I am later proved to be SO wrong.) ; One of my VERY best HTs Axiom c9f++c12f++c14f f=f+f|f++f } tr20003* { ; Anthony Hanmer 11/10/2002 Angle 6 ; 3rd 2x2 triangular HTile ; 1-sided interior ; One of my VERY best HTs Axiom c9f++c12f++c14f; Unexpected but true f=f+f|g--f|g+f g=gg } tr20009* { ; Anthony Hanmer 19/10/2002 Angle 6 ; 9th 2x2 triangular HTile ; One of my VERY best HTs: sheer simplicity Axiom c9f++c12f++c14f f=f+f|g--f++f++gg g=gg } tr20014* { ; Anthony Hanmer 23/10/2002 Angle 6 ; 14th 2x2 triangular HTile ; X-axis reflectional symmetry ; One of my VERY best HTs: again, very simple Axiom c9f++c12f++c14f f=gg++g+f|f++f++fg++gg g=gg } tr30001* { ; Anthony Hanmer 9/9/2002 Angle 6 ; Eureka! The 2nd triangular HT! Axiom c9f++c12f++c14f; (1st 3x3 triangular HT) ; One of my VERY best HTs f=f++f|f++ff|ff++ff } tr30002* { ; Anthony Hanmer 9/9/2002 Angle 6 ; Eureka! The 3rd triangular HT! Axiom c9f++c12f++c14f; (2nd 3x3 triangular HT) ; One of my VERY best HTs f=f++f--f--f|f++f++f+ff } tr30009# { ; Anthony Hanmer 5/10/2002 Angle 6 ; 9th 3x3 triangular HTile, 1st dust Axiom c9f++c12f++c14f; WOW - "Koch (variation) Dust Tile"...! ; One of my VERY best HTs ; X-axis reflectional symmetry f=f+fg++f|f--gf++f++f|f+f g=ggg } tr30010# { ; Anthony Hanmer 5/10/2002 Angle 6 ; 10th 3x3 triangular HTile, 2nd dust Axiom c9f++c12f++c14f; WOW - "Sierpinski (variation) Dust Tile"...! ; One of my VERY best HTs ; X-axis symmetry f=f+gf++f++f|f--f--fg++ff g=ggg } tr30221* { ; Anthony Hanmer 24/5/2003 Angle 6 ; 221st 3x3 triangular HTile ; 1-sided interior ; One of my VERY best HTs Axiom c9f++c12f++c14f f=f+f++f|g--g++f+f|g--f--f--g++f++ggg++gg+g|f++g++ggg g=ggg } tr30244* { ; Anthony Hanmer 24/5/2003 Angle 6 ; 244th 3x3 triangular HTile ; 1-sided interior ; One of my VERY best HTs Axiom c9f++c12f++c14f f=f++f|g++f--f|g++g++fg++g++g|f++g--g|f++f++gg++ggf++ggg g=ggg } tr40071* { ; Anthony Hanmer 8/11/2002 Angle 6 ; 71st 4x4 triangular HTile ; One of my VERY best HTs Axiom c9f++c12f++c14f f=f++f--f--f|f++f++f+f++f--f--f|f++f++f+fg++gggg++gggf++gggg g=gggg } tr40071a { ; Anthony Hanmer 13/9/2003 Angle 6 ; 120-degree rotation ; One of my VERY best HTs Axiom c9f++c12f++c14f f=gggg++f++f--f--f|f++f++f+f++f--f--f|f++f++f+fg++gggg++gggf++gggg++gggg++gggg g=gggg } tr40398# { ; Anthony Hanmer 15/9/2003 Angle 6 ; 4x4 triangular HTile ; Variation on Tr40233, re-drawn using the L4 DNA ; One of my VERY best HTs Axiom c9f++c12f++c14f f=F+ffg|ggf++G+fg|gf++F+g|g++G++G+ggf|gfg++G+gg|gg++G+g|g++G++G+ggg|fgg++F+gf|fg++G+f|f++F++GGGG g=gggg } tr40400# { ; Anthony Hanmer 15/9/2003 Angle 6 ; 4x4 triangular HTile ; Variation on Tr40233, re-drawn using the L4 DNA ; One of my VERY best HTs Axiom c9f++c12f++c14f f=F+ggg|ggg++F+fg|gf++G+g|g++G++G+fff|gff++G+gg|gg++G+g|g++G++G+ggg|fgg++G+gf|fg++F+f|f++F++GGGG g=gggg } _________________________________________________________________ Add photos to your messages with MSN 8. 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Test - ignore
by Tony (Anthony) Hanmer 02 Sep '04

02 Sep '04

Test, as my last 2 attempts at a posting failed, maybe because it was too large. _________________________________________________________________ STOP MORE SPAM with the new MSN 8 and get 2 months FREE* http://join.msn.com/?page=features/junkmail

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FOTD 01-09-04 (A Nice Fractal [5])
by Jim Muth 01 Sep '04

01 Sep '04

FOTD -- September 01, 2004 (Rating 5) Fractal visionaries and enthusiasts: I am currently involved in unpacking and setting up a new graphic-design computer for Fractal Central, so the discussion for today will be terse. Nothing unusual in that. For the first FOTD of September I wanted a nice fractal, one that would be interesting. I wanted something that could be found in a hurry. It did not need to render in under a minute, as I could always do other things while the image was rendering. But above all else, it needed to be nice. I found such an image in the fractal created by subtracting (Z) from 2 parts of Z^(-2) and adding (1/C). Today's image is nice. I leave it to the viewer to decide what the word 'nice' means when applied to a fractal. And the image is also interesting. 'Interesting' is what one says about some- thing when they do not really like it but do not want to offend its creator. I named the image "A Nice Fractal" because it is a nice fractal. I do kind of like the sawtooth effect surrounding the unusually prominent midget. I rated it at a 5 because it is a nice fractal. But when the render time of over 42 minutes is consi- dered, the overall value rates a measly 12, which is not so nice. But overall values are subjective things at best, and today's rather low value may be bypassed by downloading the finished image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Here at Fractal Central, Monday was cloudy, but the rain stayed away. Tuesday was partly cloudy with a temperature of 84F 29C. The cats enjoyed ample time in the yard on both days. Today is starting sunny and pleasant. I expect a repeat. For me, things will not settle down until I get the new machine loaded and running. It is yet to be determined how well it will work with Fractint. Until next FOTD, take care, and fractals are not real but they do exist. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ A_Nice_Fractal { ; time=0:42:38.21--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=+0.21468133873538990/-0.284332453475336\ 20/7004249/1/-65/1.09182119595319094e-009 params=-1/1/2/-2/0/0/0/0 float=y maxiter=7200 inside=0 periodicity=10 colors=000`FSbEQdDOfCMhBKjAIl9Gn8Em7Co7Aq78q70r77r\ 7Dr7Js7Ps7Ws7at7gt7mt7sr9qqApoBonCmlDlkEkiFihHhfIg\ eJecKdbLc`Ma_N`YP_XQZVRXUSWSTVRUTPVSOXRMYPLZOJ_NI`\ LGaKFbJAeKEcIIaHM_GPYFTXEXVC_TBcRAgP9iM9jO8jP8jR8j\ S8jU7jV7jX7jY7j_7j`6jb6jc6je6jf5jh5ji5jk5jl5jn4jo4\ jq4jr4jt3ju3jw3jx3jy3hw6gv8etBdsDbrFapI_oKZmNXlPWk\ RUiUThWRfZQe`OdbNbeLagK_jIZlHYnMYlQYjUYhYYgaYefYcj\ YbnY`rYZvYYlZccZhW`oVZmVYlVXjVWiUVgUUfUSeURcTQbTP`\ TO_TNYTMXSKWSJUSITSHRRGQRFORDNRCMQBKQAJQ9HQ8GTA7Q7\ FO4NM1VR2SW2Q`2Od3Mi3Kn3Iq1Dr3Gr5Ir7Ls9NsBQsDStFVt\ HXtJ_tLauNduPfuRivTkvVnvXpvYrtZor_lp_jn`gl`ejabha`\ fbYdcWbcTadR_dOYeMWeJUfHSgEQgCOh9Mh7Ki4Kj0Ji2Ji4Jh\ 6Jh8JgAJgCJfEJfFJeHJeJJdLIdNIcPIcRIbTIbUIaZIaYI`aI\ `aI`dI_eI`fJ`gJ`gK`hK`hK`hL`iL`iL`iL`jL`jL`jL`kKak\ K`lKalK`lK`mK_mKZmKYnKXnKWnJVnKUmLTlLSkMRjNQiNPhOO\ gPNfNMePLcRKaTJ_VIYXHWZGU } 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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FOTD 30-08-04 (Fractal Fowl-up [7])
by Jim Muth 30 Aug '04

30 Aug '04

FOEFD -- August 30, 2004 (Rating 7) Fractal visionaries and enthusiasts: Today's image is named "Fractal Fowl-up. The name does not imply that I feel I made a big mistake in creating the image, nor does it imply that my spelling skills need improvement. It refers instead to the chicken-scratchy filaments surrounding the grossly-distorted midget at the center. While I was studying the image, searching for a name, these filaments reminded me of the chicken scratches one might see on the ground in a chicken coop. (Not having a chicken coop, I can only guess what the ground inside one might look like, but my guess probably has at least a small resemblance to reality.) The parent fractal, which was created by the simple formula Z^(2.1)+C, is a distorted Mandeloid with a smaller Mandeloid lying in the chaos on the southwest edge of its main bay. This parent lies four levels up the multi-dimensional logarithmic hyper-spiral. Today's image is located in a tangled nest of filaments just beyond the west end of the smaller Mandeloid. Thanks to a little bit of extra coloring effort that I put into the image, I was able to rate it at a 7. When the fast render time is considered, the overall value rates a quite impressive 279. And, as is always the case, the pre-rendered image may be downloaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Mostly sunny, hot and humid weather prevailed all day Saturday and Sunday here at Fractal Central. With the temperature hovering around 90F 32C, the fractal cats spent their outdoor time catching up on their sleep. They seemed happy enough. Today however promises to bring rain by afternoon, so we'll have to wait to see how the duo adjusts. And I wonder how I'll adjust when I get the work caught up. Only time will tell. The next FOEFD will appear in one or two days. Until that wonderful moment arrives, take care, and even skeptics are sometimes right. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Fractal_Fowl-up { ; time=0:02:30.50--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.9\ 012538323479556/-0.6608122739675539/220000/1/-17\ 2.5/1.858592793557712e-010 params=2.1/0/4/0 float=y maxiter=1200 inside=0 logmap=54 periodicity=10 colors=000JAKHAKFAKDAOBAR9AU7AX5A_7Ab9AeAAhCAkEAnF\ AqHAtICwHIzGNzGSzKX_PaVUfQZkMcpHhuCmz8mvWhsrcrsZqt\ UqtMpuQpuTnvWmwZlwbkxejxhiykhyjfxjdxicxibwhawh`wg_\ wgZvfYvfXveWveVudUudTudSuaRt_QsYPrVOqTNpRMoPLnMLmK\ KlIJkGIjDHiBGh9Fg7Fg8Ie9KdANcBPbCRaDU`EW_FZZG`YGbX\ KcVNcTRdRUdPYdN`eLdeJgfHkfFnfDrgBug9xg8rc6m_5mW4mS\ 3mO2mK1mM1mN1mO1mP1mQ1mS1mT1mU1mV1mW1mY1mZ1m_1m`1m\ a1m`2m_2m_2mZ2mY3mY3mX3mX3mW4mV4mV4mU4mU4mYBmaHmeN\ miTmmZmqdmujmxpmuqmrqmoqmlrmirmfrmcsm`smYsmXlmWemV\ _mUTmTMmSGmRImQJmQKmPLmPMmOOmNPmNQmMRmMSmLUmKVmKWm\ JXmJYmc8m4Fm8ImRbmXQmbDmLZm4tmHomUjmmfmmlmmrsJZwNG\ zKWzKUzKSzk0zNNzMOzLPzcBzUJzlsz_tzUizP_zDGzGKzINzm\ azMKzLMzLNzKPzysznkzddzUXzkszS0zP9zMIzJMzKNzKOzKPz\ 1SzBRzPHzNKzLNzRbzNWzcBzUJzJfzEPzHQzySznRzdRzUQzz6\ zdGzgZzaWzWUzQSzuTzkSzbRzTQzb`zTVzWszTkzQdzNXzLQzK\ QzKQzZPzVQzRQzNQz4ezpMzlQ } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(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 28-08-04 (Fractal Sickles [7])
by Jim Muth 28 Aug '04

28 Aug '04

FOEFD -- August 28, 2004 (Rating 7) Fractal visionaries and enthusiasts: The world of fractals is infinite in an infinite number of ways, perhaps an aleph-aleph number of ways (if such an abstract number can properly be called a number). Today's image shows just one of those ways. When Z^(-0.9) is subtracted from Z^(1.1) and (1/C) is added, the resulting fractal is a rather distorted Mandeloid with a prominent arc emerging from its East Valley and curving around to the left, gradually disintegrating as it goes. This arc likely holds much of interest in its depths, but today's scene does not lie in the arc. Today's scene is located near the northern shoreline of the main bay of the Mandeloid, between two star-like basins near the tip of a minor 'elephant trunk'. I have named it "Fractal Sickles" after the sickle-like elements all through it. I took a little extra effort with the coloring, and as a result, was able to rate the image at a respectful 7. When the render time of under 7 minutes is figured in, the overall value rates a 105. Perhaps the best way to see the fractal sickles is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the completed image from there. Fractal Thursday and fractal Friday were near perfect here at Fractal Central. The partly cloudy skies and temperatures in the low 80's F upper 20's C were great not only for the cats, but for the human as well. And to top it off, today is promising to be nearly as good, with only an outside chance of showers. Now if I can only get that overdue work caught up..... The next glorious fractal image will appear right here in a day or more likely two. Until that magnificent moment arrives, take care, and become at one with the fractal of the universe. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Fractal_Sickles { ; time=0:06:41.28--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.04089371349430761/+1.930679864084425\ 00/2.979903e+011/1/-95/0.309927372273580082 params=-1/-0.9/1/1.1/0/0 float=y maxiter=750 inside=0 logmap=138 periodicity=10 mathtolerance=/1 colors=020Y29Z20`20a20c28d2If2Th2ai2`k2Zl2Xn2Wo2Vq\ 4Ts5St6PxEOzLNzWLzbKzgKzeFzcCy_8sW5jT1YE0QI0IO5BSE\ 4XN0aW0ed0on9udTzWlzOvpdzSvz6yz8yz8yx8ss8nn8ghAacA\ WZASVALQAFKB9GB5BB07B02B00B01A02A04A06A47A9A8EB8KD\ 8OE8VG8ZH8cGCaGH`ELZEPXDUWDXVBaTBeSBjPAoOArN9wL9zK\ 7zI7zH7zF9zIAzLBzODzSEzVGzXHz`Iza9zP0oE0e26aKNZ`cW\ qRXdGZV6ZKAaNEdOIgPLjSQmTVpVYrXauZfx`izanzcszdvzfs\ zgozilzjizlhzndzoazqZzsYztVzvRzwOzyNzyTzyYxyapyfhy\ layqUyvMyzFyzAy0o00j00g00d00c04c09c0Dc0Hc0Lc0Qc1Vc\ 2Zc2Lc0Ac00c00c00c70cE0cL0cS0cW4cZDcaKcdTci`clicoq\ csycvnclcccTcVIcL9cC0c52c76c89c9DcBGcBIcCNcEQcFTcF\ YcH`cIccKfcKccTacaWcw2ht9moErjKwfOzcVzZ`zVdzSkzNqz\ IvzFzzBzz7zz4zz5zz7zz8zz8zz9zzBzzBzzCzzEyzEyzFxzHv\ zHtzIszKszKkzLdzNZzNRzOLzPGzPAzS2zT0zT0zV0zV1zSHzP\ YzNnzLzzKtzIizH`zFczEfzEizElzEozCszCvzCyzCzzBzzBzz\ BzzBzzBzzFzzIzzLzzPaz`Zzj } 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 26-08-04 (All Askew [5])
by Jim Muth 26 Aug '04

26 Aug '04

FOEFD -- May 26, 2004 (Rating 5) Fractal visionaries and enthusiasts: Today's quickie is a scene in the fractal that results when negative portions of Z^(-1.5) and Z^(-7.7) are combined, and (1/C) is added. This parent fractal is an oversized shapeless thing with a Mandeloid feature on its southern edge. The East Valley of this Mandeloid is split into two branches. Today's scene is located on the southern branch. The image is that of a midget surrounded by a rather uninteres- ting mixture of flat outside areas and sickle-shaped holes. One of the other outside options might have done a better job, but I did not try any. The scene could also have been evapora- ted and the different inside options applied to the resulting blank screen. I did not try this either. I named the image "All Askew", though the skewed appearance of the scene is deceptive. The scene itself is skewed, not the rendering. When it came to the rating, I found myself unable to give the image, with its stereotyped appearance, a rating higher than a 5. When adjusted for the render time of under 6 minutes, the overall value rates a more impressive 86. The image will have a higher overall value if it is downloaded in completed form from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> thereby bypassing the rendering stage. Tuesday turned into a totally perfect day here at Fractal Central -- at least for the fractal cats. Lots of sun and a temperature of 86F 30C was just what the duo wanted. For a few minutes, they even forgot that they are aging cats, and acted like kittens. Then, reality returned and they settled down for a long sleep in the holly bushes. Wednesday was cloudy and cooler, but much more humid. The duo didn't mind. Today is starting partly cloudy and warm. The duo has not yet been out. For the fractal human, there is much work to do. I spent the past two days slowly advancing the nearly limitless (description somewhat exaggerated) pile of work. If all goes well, the next FOEFD will appear in 48 hours. But there is no guarantee. Until next time, take care, and what did skeptics believe in before the age of science? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ All_Askew { ; time=0:05:49.77--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.24659990414109350/-2.109103007684063\ 00/784558.9/1/67.5/-7.81802311590473753e-007 params=-1/-1.5/-0.2/-7.7/0/0 float=y maxiter=600 inside=0 logmap=55 periodicity=10 colors=000NPELSHKUJIWMGZPE`SDbUMZVUVWaRXiNYqKZpQao\ Wdn`gmfjlkmkqpjvslvpmvnovlpvjor8GqhLXSPCBac3`f6`i9\ `kC_nF_qI_sKWtPTuUPvYMvbIwgFxkByp8ytEmnKbhQRcWGY`5\ Tc8UeBUhEVjHVlJVUA2VC5WD8XEBXFEYGHZHKZIMNsSRpOVmKZ\ kHbhDfe9jc6fd7cd8_d9XdATdBQdCNdCQiRTndWsrPunJvjCwf\ 6xb8q_AkXCeUE_RGUPTdNeoLqyJltRhoZdje`cZYYTVSNSLGPF\ AM94FCA9FG9CJ9AM97P95S92V90XF2GJ3IN4JR4KU5LY6Na6Oe\ 7Ph7QIGny4RzGOzRLzaIwbNtcRqdVneZkfbhgf`QSU9DSESQJf\ ONtWKncIijGdrE_yCVpIJgN7cLC_KGXJLTIPPHTMGYIFaFEehS\ 3fO7dLAbID`EHZBKX8NV5QXANZEK`JGbNDdSAfW7gY8h_9ia9i\ cAjeAkfBlhCljCmlDnnDopEoqEhjBbc8WX5QQ3UV9X_F`cLchQ\ glWjqamufitaetYbtUZuQVvMSwIOxEKyAHz6azOvzdszaqzZnz\ WlzUizRgzOdzMbzJ_zGYzEBz5JzHQzSXzcXzKTzOPzSLzWfzta\ zeYzS_z_aznazg6zEIzRTzbUzSXzYZzcazilzq0zgKzkIzdOzg\ TziZzlEz9tz8yz3szFnzRhzbmz0dzZJzjwzGpzSizcOzRUzZZz\ fyzDqzQjzb4zaMzhGzjMzkSzl } 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 24-08-04 (Two Little Moonlets [6])
by Jim Muth 24 Aug '04

24 Aug '04

FOEFD -- August 24, 2004 (Rating 6) Fractal visionaries and enthusiasts: When Z^(-2) is subtracted from 0.6 part of (Z^2) and (1/C) is added, a scattering of various sized and shaped Mandelbrot sets results. Today's scene lies in the Seahorse Valley area of one of the smaller sets. When rendered in the normal manner, today's image resembles a variation of the Julia sets of the Seahorse Valley area. To give the scene a little extra life, I rendered it with the outside set to 'tdis', and took just a slight bit of extra care in coloring it. I named the image "Two Little Moonlets" when I happened to view the screen from across the room and was reminded of two moons circling a planet. The rating of a 6 is fair enough, and when the render time of 7-plus minutes is figured in, the overall value rates a respectable 83. As is usually the case, the finished image may be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Perfect weather on Sunday and Monday (lots of sun and tempera- tures in the low 80's F, upper 20's C) kept the fractal cats happy in the yard. The fractal human was kept happy by seeing the continuing decrease in the work backlog. Today promises to be a repeat in all aspects, which hopefully will lead to another glorious fractal image in a day (or more likely two). Until then, take care in every way you can. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Two_LittleMoonlets { ; time=0:07:12.48--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip center-mag=-0.183801862284824/+0.3507727296450985/\ 1902933/1/80/-4.99582407387233474e-009 params=0.6/2/-1/-2/0/0/0/0 float=y maxiter=2500 inside=0 outside=tdis periodicity=10 colors=000Nu0iZ6zALz0Zz0bz0ez0iz0ms4qk8ueAxZEzRHzL\ JzENz6Rz0Tz0`z0gx0mm0ub0zR0zH0xR0q`8iiGbsPVzXNzdGz\ iTzmdzqqzuzzmzzezz`xzTxsNxkGvb8vT2uL0uC0u42v8EvAPx\ C`xEkxGvzHzzJzzLzoNsdNgVPVJPH8Z60`00`00b00_00T00H2\ 0E60CC58GC6LG2RK0VQ0`T0dX0i`0md0sg0vk0xd0zZ0zT0zN0\ zH0zC0z60z00z00z00u00p00p00zc6zcCzcHzcNzcVz2`z4zz6\ zz8zzAzxbdezLPz2Vz6`zAeqEkeHqTLvHNzEHzCEz88z64z40z\ GCuPLmZVgid`smVzvRvoPqiLmdJgZGdREZLAVG8PA6L4LZ0Zi0\ Tb0PV8LPGHHNECV84d40k00s00z00z00z00z00z00z06z0Cz2H\ x2Nx4Tv6Zu6du8isAoqAuqCzoCzoGzeHzZLzRNzJRxATx2Xv0Z\ v0Xu0Xs0Vq0Vo0Vm0Tk0Ti0Tg0Re0Rd0Rb0P`0PZ2PZ2`J6i4A\ s0Es0Ju0Pv0Vdd4bg0Zk0Xo0Vs0Tu0Rv0Px0Nz0Nz0Lz6JzCHz\ HHzLGzREzXCzbCzeHzbNz`TvXZqVdkRgeP`XNVNLPGJH6HC0G6\ 0E00EC0CL0CV0Cd0Co0Cx0Cz0Cz0Cz0Gq0Hd6JRELEJN2PP6RT\ 8TVATZEV`GVdHXeJXiNZkPZoR`qT`uXbvZbz`dzbdz`bz`bzZb\ xZbvXbuXbsV`sV`qT`oT`m000 } 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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Alternate color map for Jim Muth's Aug 22, 04 FOTD, "High Tension"
by Hal Lane 23 Aug '04

23 Aug '04

########################################################### An alternate color map for Jim Muth's Aug 22, 04 FOTD. Jim says the image, which he named High Tension, "...has a kind of electrical feeling about it..." To enhance that effect I rotated the surprisingly adaptable color map -- taken from the 'Leather Gem' image entered in the 1998 http://www.fractalus.com/ contest -- to provide a range of blues for the electric arcing. The original image is by Damascena Korwen: http://www.fractalus.com/contest98/entries/01-013.htm and is a *very* nice fractal. The .gif image on that page was apparently saved without the Fractint extra info describing how to make the image (assuming that the image was created in Fractint.) I failed to get a useful .par file when I tried to write one out after loading her original .gif image into Fractint. I load her color map into many of Jim Muth's images and then rotate it to see if any of its color ranges is compatible with features in the image. Often wonderful additional structures can be brought out of Jim's images with this color map. If Jim's image contains a miniature Mandelbrot set I set the interior color to black in the color map for that image -- just my personal taste. To set the Mandelbrot set interior color to black, invoke Fractint's Palette Editor with the sequence: 'e', <Enter> while viewing the image. To set this color map location to zero move the cursor so it is resting inside the miniature Mandelbrot set and then type: r, 0, b, 0, g, 0 (no need to type the commas) to set the red, green and blue components of the color to zero in this location in the color map. Make sure that you *** DON'T INADVERTENTY MOVE THE CURSOR *** while you are typing. If the cursor moves while you are typing you may zero out the red component of one color map location and the blue and green components of a different color map location! I have to warn you that it is very easy to inadvertently do this... Dismiss the Palette Editor with <esc> and save the newly colored image in the usual way. Below is the Leather Gem color map -- simply copy and paste into your favorite text editor and save as a text file with the file extension .map in your Fractint directory. It will then appear in the list of color maps available to be loaded into images. After loading her color map into an image make sure you *** ROTATE IT *** to try its various color ranges out in different areas of your image. I have often been pleasantly rewarded. Use the < and > (or , and .) keys to rotate the color map while you are in the Palette Editor. I have noticed that on my machine the Palette Editor rotates colors much more smoothly than the color rotation performed by those keys while you are in the Color-cycling mode invoked by typing the letter 'c'. Please let me know the favorable results of any of your uses of her color map. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START FRACTINT COLOR MAP FILE======================= 136 52 0 132 48 0 128 44 0 124 40 0 120 40 0 116 36 0 112 32 0 108 32 0 104 28 0 100 24 0 96 20 0 92 20 0 88 16 0 84 12 0 80 12 0 76 8 0 72 4 0 72 4 0 72 4 0 76 8 0 80 8 0 80 12 0 84 12 0 88 16 0 92 20 0 92 20 4 96 24 4 100 24 4 100 28 4 104 32 4 108 32 4 112 36 4 112 36 8 116 40 8 120 44 8 120 44 8 124 48 8 128 48 8 132 52 8 132 56 12 136 56 12 128 52 12 120 44 12 112 36 8 104 32 8 96 24 4 88 16 4 92 16 4 96 20 4 100 24 4 104 28 4 108 32 4 112 36 4 172 88 20 176 92 20 180 92 20 180 96 20 184 96 20 188 100 20 192 104 24 188 100 24 180 92 24 172 88 20 164 80 20 156 76 20 148 68 16 140 64 16 132 56 12 128 48 12 120 44 12 112 36 8 104 32 8 96 24 8 88 20 4 80 12 4 72 4 0 36 12 4 40 0 0 60 20 0 84 40 0 104 60 0 124 80 0 144 100 0 164 120 0 188 140 0 208 160 0 232 180 0 252 200 0 252 188 0 252 180 0 252 168 0 252 156 0 252 144 0 252 132 0 252 120 0 228 104 0 200 92 0 176 76 0 148 60 0 120 48 0 96 32 0 68 16 0 60 16 8 48 16 20 40 16 28 28 12 40 28 12 48 28 16 56 24 20 64 24 20 72 20 24 80 16 28 88 16 32 96 12 36 104 8 40 112 12 48 116 16 56 120 16 60 124 20 68 128 24 76 132 28 84 136 28 88 144 32 96 148 36 104 152 40 112 156 40 116 160 44 124 164 48 132 168 52 140 172 56 148 180 60 156 184 64 164 184 64 168 188 68 176 188 72 184 192 76 192 196 80 200 200 76 192 188 72 184 180 68 172 168 64 164 160 64 156 148 60 148 136 56 140 128 52 128 116 48 120 108 44 112 96 40 104 88 36 92 76 32 84 64 28 76 56 24 64 44 20 56 32 24 64 36 28 68 40 28 76 40 32 84 44 36 88 48 40 96 52 44 100 56 48 108 60 48 116 60 52 120 64 56 128 68 60 136 72 64 140 76 68 148 80 72 156 84 76 164 88 80 172 92 84 180 88 96 184 80 108 188 76 120 192 68 132 192 64 144 196 56 156 200 52 168 204 44 180 208 40 192 212 32 204 216 24 216 220 20 228 224 12 240 228 4 224 220 8 212 212 12 196 204 16 184 196 20 168 188 24 156 180 28 140 172 32 124 164 36 112 156 40 96 148 44 84 140 52 68 132 56 52 124 60 52 120 56 52 116 56 48 108 52 48 104 52 48 100 48 48 92 44 48 88 40 48 84 40 44 76 36 44 72 36 44 68 32 44 68 32 44 64 32 44 64 32 40 60 28 40 56 28 36 52 24 52 56 24 68 60 28 88 64 32 104 68 32 120 72 36 136 76 40 152 84 44 168 88 48 176 96 52 188 104 60 192 112 60 196 120 60 200 124 60 204 132 60 208 140 64 212 148 64 216 156 64 220 160 64 224 168 64 228 176 64 232 184 64 236 188 64 240 196 64 244 204 64 248 212 64 252 220 60 252 220 80 252 224 104 252 228 128 248 228 148 248 232 172 244 232 192 244 236 216 240 240 240 236 224 224 232 212 212 224 196 196 220 180 180 148 60 0 148 60 0 144 56 0 140 52 0 END FRACTINT COLOR MAP FILE======================= ########################################################### --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.742 / Virus Database: 495 - Release Date: 8/19/04

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FOTD 22-08-04 (High-Tension [6])
by Jim Muth 22 Aug '04

22 Aug '04

FOEFD -- August 22, 2004 (Rating 6) Fractal visionaries and enthusiasts: Today's image takes us to the fractal that results when negative portions of Z^(-1.7) and Z^(-2.1) are combined, then (1/C) is added. It has a kind of electrical feeling about it, which inspired the name "High Tension". Unable to decide what I think of the image, I rated it at a 6. When the render time of nearly exactly 3 minutes is considered, the overall value registers an impressive 200. The most convenient way to see the high-tension image is to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download it from there. A hot sunny day Friday was followed by a cooler cloudy day on Saturday, with showers. The fractal cats passed Friday after- noon in the shade. They passed Saturday sitting by the window. Today is starting sunny but cool. It looks like a perfect day for the dynamic duo. For me it will be a little work, but mostly relaxation. The next FOEFD will appear on August 24, possibly sooner. Until then, take care, and be kind to your web-footed fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ High_Tension { ; time=0:03:00.03--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=+5.40490425672737/+3.945059171105166/38\ 81427/1/-80/-2.10034696572491963e-006 params=0.7/\ -1.7/-0.5/-2.1/0/0/0/0 float=y maxiter=1200 inside=0 logmap=54 periodicity=10 colors=000DDdDDSED_GDVIDRJDNNDIQDETDDNDB4D9D89LG4T\ N1aT0i_0qg0zn0zt0zz0zw0zs0qp0il0ai0Td0La1GY4BV86RB\ 2OD9LIGILLEORDRX9Vb6Yg4bn1fs0iz0lz0pz0sz0wz0xz0xz0\ xz0xz0xz0xz0xz0xz1xx1xz0sz0nz0kz0fz0az0Yz0Tz0Oz0Lz\ 0Gz0Dz0EwBXq8Tn6Qk2Ng1Jd0I_0EX0BT08Q04N02Q06T19V8D\ YGEaNIbTLfaOigQknTnwXqz_szaqzbpzbnzbnzdlzdkzdixdiw\ fgtffsffqfatYXxRTzJOzDLz6ztzzpzzktzfnzagzXazRVzNOz\ IIzDBz84z20z00z00z00z40z91zE8tJDqOIlTNgYTdbY_gbXlg\ VkdTkaRkYRkVQkROkQNkNNkJLkGJkDIk9Ik8GgLGfXEdgEasD_\ zDYzGazJbzNfsQgkTkdXlXYpQaqIdtBgw2kz0nz0pz0lz0kz0i\ z0gz6fzBbzIazO_zTYz_XzdTzkRzqQzwOzzNzzVzzbzzkzzszw\ zzszzqzzkzzfzz_zwVzqQzkJzfEza9zV2zQ0zL0zR0zY0wd1nk\ 2fp6Yw8QzBIzD9zG2zI8zNBzQEzTJzYNzaQzdVziYzlazpdzsb\ znbziazdaz_azX_zR_zNYzIYzDYz9azEdzIgzNizQlzVpzYszb\ tzfqzfpzglzibzxazx_zxYzxXzxVzxTzxRzwQzwOzwNzwIzwLz\ wJzwIzwzzVzzXzzYgzakzanzb } 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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FOTD 20-08-04 (Summation [6])
by Jim Muth 20 Aug '04

20 Aug '04

FOEFD -- August 20, 2004 (Rating 6) Fractal visionaries and enthusiasts: The end of the work back-up is in sight, but it is not yet here, and I have a job that is due by 5pm today. So today's discus- sion will be another terse one. The parent fractal was created by combining negative portions of Z^(0.996) and Z^(-1.004), then adding (1/C). The scene is located near the point where a filament extending from a bud vanishes behind a foreground disk. I rendered the image with the outside set to 'summ', which I believe refers to the sum of the 'real' and 'imag' components. I named it "Summation" because the 'summ' option was used. When studying the image, I decided that it was at least slightly above average, and gave it a rating of a 6. The render time of 7 minutes results in an overall value of 85. The overall value becomes meaningless when the completed GIF image is downloaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Except for a brief thunder-shower Wednesday evening, things were pretty good here at Fractal Central both Wednesday and Thursday. The cat duo agreed, and enjoyed two pleasant afternoons in the holly thicket. I also enjoyed the two days, mostly because the work went well. Today is starting sunny and hot. I will be indoors most of the day, but how will the cats cope with the heat? Only time will tell. If all goes well, I will return in 2 days with the next FOEFD. Until then, take care, but don't be too careful. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Summation { ; time=0:07:02.76--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.23153186563478310/+0.167478758327911\ 30/5430495/1/80/-1.48974043941846324e-006 params=-1/0.996/-1/-1.004/0/0 float=y maxiter=1200 inside=0 outside=summ periodicity=10 colors=000yd9yd6wcAvbDubHtaKraOq`Rp`Vo_Ym_alZdkZhj\ YkjZriYpiYnhXmhXkhXjgWhgWgfWefVcfVbeV`eU_dUYdUXdTV\ cTTcTSbSQbSPbSNaRMaRKaRJ_QLZQMYPNXPOWOQVORUNSTNTSM\ VRMWQLXPLY6IoNL_OLZPLYQLYQLXRLXSLWTLWTLVULVVLUSITU\ KUVLUWMUXNVYOVZPV`RWaSWbTWcUXdVXeWXeYVfXXfWZgV`gVb\ hUdhTfhThiSjiRljQnjQpkPrkOtlLykNwkOukPtjQrjSqjToiU\ miVliXjiYihZgh_fhadgbbgcagd_gfZfgXfhVfiUekSelRemPf\ rLepNenOdmQdkRcjTchUbgWbeXacYab_````_b_Yc_XeZVfZUh\ YSiYQjXPlXNmWMoWKpVJrVHsWFvVGtUGsTGrTGqSGpRGoQGnQH\ lPHkOHjOHiNHhMHgLHfLIdKIcJIbIIaII`HI_GIZGIYHHWHHVH\ HTHHSHHRHHPHHOIGNIGLIGKIGJIGHIGGGFGIGFJGFKGFLGFNHF\ OHFPHFQHFSHFTIFUIFVIFXIFYJFZJF_JFaJEbJEcKEdKEfKEgK\ EhLEiLEkLElLEmLEnMEpMEqMErMEr8AsFCsMEsTGs_IsfKsmMs\ tOszQryRqxSpwSovTnuUmtUmsVlrWkqWjpXioXhnYhmZglZfk_\ ej`di`chaclbcjachacgaceacdacbac`ac_`cY`cX`cV`cT`cS\ `cQ`cP_cN_xeOxeLydIydFydC } 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 18-08-04 (Golden Jubilee [6])
by Jim Muth 18 Aug '04

18 Aug '04

FOTD -- August 18, 2004 (Rating 6) Fractal visionaries and enthusiasts: Due to the continuing rush, today's discussion will be very short. But I have just received the September issue of 'Scientific American' magazine, and a few of the articles already have me waxing philosophic. Look for a major outbreak of not-totally-opinionated philosophy to soon appear on the philofractal list. Today's quickie image takes us very deep into the fractal that results when Z^(-0.99) and Z^(1.11) are combined, and (1/C) is added. In fact, the magnitude of 3x10^13 makes a mathtolerance entry necessary in the parameter file. Hopefully, the edited file will run correctly I named the image "Golden Jubilee" after all the gold in it, and then, being less than overwhelmed, I rated it at a 6. The render time of 8 minutes gives an overall value of 71. Rendering can be totally avoided by downloading the finished image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Uneventful weather Monday and Tuesday made life for the fractal cats uneventful also. A noisy thunder-shower Tuesday evening arrived too late to spoil their day. Today is starting muggy, with more thunder promised. Hopefully, the duo will have completed their outdoor romp before it arrives. For me, it looks like lots of work. Until next FOEFD, take care, and be skeptical where skepticism is appropriate. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Golden_Jubilee { ; time=0:08:26.41--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.16037061486170520/+0.048743756369508\ 35/2.842445e+013/1/131.5/-0.0220478909008980442 params=0.5/-0.99/-0.5/1.11/1/0 float=y maxiter=1000 inside=0 logmap=162 periodicity=10 mathtolerance=/1 colors=000CHK7DH2AH39F49E49D58C58B68A7797788774348\ 76BA8FD9IHBMKCPNETRFWUHZXJb`KecMifNljPpmQspSwsVvqT\ uqStoQsnPrlOqjMpiLogKneImdHlbGk`EjZDiYChWAgU9fT8eR\ 6dP5jI3dO4ZU5T_6Ne7Hk8Bq95wA7vC8uDAtEBsFDrGEqHGpIH\ pKIoLKnMLmNNlOOkPQjQRiRSiTUhUVgVXfWYeX_dY`cZdb`ac_\ _c_Yd_WdZUeZSeZQeYOfYMfYKgYIgXGgXEhXChWAiW8iW6iW7e\ Y8b_9_aAXcBUeCRgDOhELjFIlGFnHCpI9rG5uI6sK6qM6oO6mQ\ 6kS6iU6gW6eY6c_6a`6_b7Yd7Wf7Uh7Sj7Ql7On7Mp7Kr7It7G\ t6Gu7Fu8Fu9Fu9FuAEuBEuBEuCEuDEuDDuEDvFDvGDvGCvHCvI\ CvICvJCvKBvKBvLBvMBvMBtLCrKCpJCoJCmICkHCjGChGCfFCe\ ECcDCaDC_CCZBCXACVACU9CS8CQ7CP7CO9BNBBMDAMEALGAKI9\ JK9JL9IN8HP8GR7GS7FU7EW6DY6DZ6C`5Bb5Ad4Ae49g48i37k\ 37l39hBBeIDbPEZXGWcIUjHUsJUqLUpNVoOWnQXmSYlTZkV_iX\ ahZcg_efaheckddncfqaht`jw_kzZmzYozXpzWizWczWYzWRzW\ LzWFzW6zS9zWBzZEzaFzeGzdGzdHzcHzcHzcIzbIzbJzaJzaJz\ aKz`Kz`Kz`YzZUzWPzTLzQGzN } 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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Re: [Fractint] Mailing List
by AOSYNSTEBY＠aol.com 16 Aug '04

16 Aug '04

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FOTD 16-08-04 (Spiral_Spangled [7])
by Jim Muth 16 Aug '04

16 Aug '04

FOEFD -- August 16, 2004 (Rating 7) Fractal visionaries and enthusiasts: As has become the usual state of affairs lately, the work is still heavy here at Fractal Central, and the discussion will be brief. Today's fractal image features spirals -- brilliant, sparkling spirals everywhere, a good reason to name it "Spiral Spangled". Those sparkling small spirals, and the large main spiral surrounding the central midget, raise the rating of the image to a respectful 7. The conveniently short render time of 4 minutes gives the image an even more respectful overall value of 162. The image lies near the end of a filament extending from a bud on the north shoreline of the main bay of its parent fractal. This parent was created by combining 4 parts of Z^(0.5) with 2 parts of Z^(-1.5) and adding (1/C). The parameter file renders in just over 4 minutes on my now- antique fractal-dedicated machine. It will go faster on a newer unit. And as always, the file of the completed image is, or soon will be, available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Storm Charley passed by Saturday with 0.08 inch 2mm of rain and a wind gusting to 5mph 8kph. The fractal cats watched the non- excitement from the dryness of the porch. Sunday stayed dry all day, giving the dynamic duo much time in the fractal yard. Today is starting sunny. It looks like another good day for the fractal duo. For me it looks like work, and there is no better time to get started than now. Until the next FOEFD appears in a few days, take care, and dig deeply. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Spiral_Spangled { ; time=0:04:19.91--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=b center-mag=-0.21650624140427070/+0.019943127229515\ 34/4.234284e+009/1/37.5/-0.000450000450211679448 params=2/0.5/1/-1.5/1/-70 float=y maxiter=1000 inside=255 outside=imag logmap=113 periodicity=10 colors=000G0oD0jB0e80a50Z10W03R09O0QN0UN0YN0aN0cN0\ aN0YL0UL6QJBLIGGINDGQ8EU5EZ1Df0Bk0Bm09o08q08s0Bu5D\ wSGwXIxcLzlNzsUzzczzhzztzzczwUxoLqgJj`InUEoLDqEBu6\ 9w08x06q05k05g03a03W01Q01L11G30B30850560160681995B\ 98EB9GBDJDGNEJOELRGOUGRXIZZIgXEoWDxU9zR8zR5zQ3zO0z\ N0zL0zL0zJ0zI0xG0wG0xJ0wL1wN9wOIwRQwUZwWgwXowWqrUr\ oUrkRujRugQwcQx`OzZOzWNzRNzQGzJBzE6z91z50z08z1Jz3W\ z5gz6rz8xz9ozBekQ5WeDLXLBOU1Ga08j00h00h00g00g00e10\ e60c90cD0aG0aJ0`O0`R0ZW0ZZ0Za0``0``0aZ3aZ9cXGcXNeW\ WeWagUhgUohRwhRzhRzgUzgUxgUrgUngWhgWcgWZgWRgWNgXIg\ XDgX8gX3gX0ha0je0kh0nk0oo0qr0rw0rz0uz0uz0uz0uz3uz6\ wz9wzDwzGwzLwzOxzRxzWxzZxzaxzexzhrwcnq`hnXchRZcOW`\ LQWGLRDGN9BI58E13900500100000000000600D00J00Q00X00\ c00j03k0En0Qo0aq5kr8nu1nw0ox0qz0qz0rz0rz0rz0rz6uzE\ uzLuzRuzZuzewzUxzIzz6wz5rz3qz1nz0jz00zL0zL3zG6zD9z\ 9Dz6Gz3Jz0Nz0Oz0Lz3IzD000 } 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 14-08-04 (Electric Discharge [6])
by Jim Muth 15 Aug '04

15 Aug '04

FOEFD -- August 14, 2004 (Rating 6) Fractal visionaries and enthusiasts: For today's image we return to the overworked MandelbrotMix4 formula. The very fast image takes us into the fractal created by combining various negative portions of Z^(-1.3) and Z^(-3.9), then adding (1/C). This parent fractal is a grossly bloated thing far too immense to fit onto the screen even at the minimum possible magnitude. Today's image lies near the end of a filament extending from a distorted bay of the largest Mandel-like feature. I named the image "Electric Discharge" because of the many zig-zag electric-arc-blue filaments surrounding the central midget. I rated it at a 6 because I consider it a bit above average. I rendered the scene with the passes set to 'b'. Not only is this the fastest method with this particular image, it is also the most fun to watch appear on the screen. The render time of 1-1/2 minutes combines with the rating of 6 to give an overall value of an impressive 378. The fastest way to see the image is to run the included parameter file. With Paul so busy, it will likely be an hour or two before the image is posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The unsettled weather continued Thursday and Friday here at Fractal Central, with enough rain to keep the fractal cats confined to the indoors. They were understandably sulky. Today is starting cloudy, and the remains of storm Charley are due in the vicinity later today with deluges of rain. We'll see how the cats take this weather. I still have enough backed-up work to keep me hopping. The worst (or best) part is that the new work comes in almost as fast as the old work is finished. The fractals are temporarily slowed down; the philosophy is all but dead. But the catch-up point is visible on the distant horizon. Look for the next FOEFD around Monday the 16th. Until then, take care, and maybe nothing is real. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Electric_Discharge { ; time=0:01:35.35--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=b center-mag=-2.02795783865152300/-0.531289001289163\ 20/7.840581e+010/1/-122.5/0.129435658686167326 params=-1/-1.3/-0.3/-3.9/0/-20 float=y maxiter=900 inside=255 logmap=45 periodicity=10 colors=000zaJzeBzj2zn2zr2zl2zh2te2lZ2cW2WS2OM2HI47\ F609805A01B00N00Z30i90uF0zK0zQ0zU0zY0z`7zcFzfMzjWz\ lczplzttzvzzyyzzyzzyzzyzzyzzwzzwzzwwzwuzwqzwozvzzv\ zztzytzztzztzztzztzztzztzztyztuztoztkyverw_jyVczPW\ zJOzGHzA9z41z20z20z20z2DzDQzRczanzmlzsjzyhzzhzzfzz\ ezzezzfzzhzzjzwlzmnzapzTrzJtzAvzBwzDyzDzzGzzGzzIzz\ IzzJzzJzzLzzLzzNzzNzzPzzPzzAzz2zz2zzAzzIzzPzzXzzcz\ zkzzqzzmzzkzzizzezzczzazz_zzXzzVzzTzzRzzTzzTzzVzzV\ zzXzzXzzZzzZzz_zz_zzazzazzazzXzzRzzNzzIzzDzz8zz4zz\ AzzGzzLzzRzzXzzazzgzzmzzszzyzzzzzzzzzzzzzzzzzyzzwz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzwzzozzezzXzzPzzGzz6\ zz2zz2zz6zzBzzGzzLzzPzzVzzZzzazzgzzkzzqzzuzzzzzzzz\ zzzzzzyzzuzzqzzmzzizzczz_zzXzzTzzPzzLzzIzzPzzVzz_z\ zezzkzzqzzwzzzzzzzzzzzzzzzzzzzzzzzzzzyzzyzzwzzwzzu\ zzszzszzqzzqzzmzzkzzizzgzzezzczz_zzZzzXzzVzzTzzRzz\ PzzPzzPzzPzzPzzPzzgzz_000 } 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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Re: FOTD 12-08-04 (Ringworld [5])
by Jim Muth 14 Aug '04

14 Aug '04

At 10:53 AM 8/12/04 -1000, David Jones wrote: >Bummer, as of this date/time, the FOTD page >has no date showing later than Aug 11 - and >Aug 11's entry is blank ... 8-( Yes, a bummer indeed. These irregular postings must be giving Paul a fit. There was no FOTD on August 11. But salvation is at hand. Save the 'Ringworld' discussion in text format with a .par extension in your Fractint directory, and run it as you would any parameter file. The Ringworld image will appear within one minute. And as for the next FOTD (FOEFD) image -- it will appear the morning of Saturday, August 14. Jim (I am still here) M.

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Mailing List
by PCMASPEC＠cs.com 14 Aug '04

14 Aug '04

This is probably not the preferred procedure, but I would like to be removed from the mailing list. I've decided my interest in fractals is too small to support the veritable flood of e-mails on the subject. I just returned from five weeks in the hospital (knee replacement) and am removing unwanted messages from my "inbox" and have found that the number dealing with fractals is more than I want to deal with, now or in the future. Thanks, Richard M Teeter pcmaspec(a)cs.com

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Re: FOTD 12-08-04 (Ringworld [5])
by Jim Muth 14 Aug '04

14 Aug '04

At 08:04 PM 8/13/04 -0500, Paul Lee wrote: >Peter Moreland wrote: >> Would it be cool for FOTD to have >> its own list? . . . Paul replied: >Jim used to do a lot more "waxing philosophic", >with his "armchair philosophy", in each of the >FOTDs. . . . Actually, I never really told how philosophical I sometimes can be. Ghosts and precognition are merely hints of the things I take seriously. If I had my life to live over, I would probably choose to be a metaphysician who specializes in searching for the reality that lies behind the illusion of a real outer world that we observe with our senses. Then again, I might not. Even though being considered a kook would not deter me, the employment opportunities are rather limited in the field of metaphysics. BTW, it's hard to top 'Rendezvous With Rama'. FOTD (FOEFD) coming in around 12 hours. Jim (I really am real) M.

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FOTD 12-08-04 (Ringworld [5])
by Jim Muth 13 Aug '04

13 Aug '04

FOEFD -- August 12, 2004 (Rating 5) Fractal visionaries and enthusiasts: Today's short trip into fractal land takes us to a tiny midget on the main stem of the Mandelbrot set. The scene is located on a filament in the East Valley area of that midget. I named the image "Ringworld" in recognition of one of my favorite novels. (In the near future I must name an image "Rama" in recognition of another favorite.) After not-so-careful consideration, I decided to rate the image at an average 5. But sometimes the average can be deceiving. When the very short render time of 21 seconds in considered, the overall value leaps to a monumental 1416. Despite the speed of the parameter file, it is still quite convenient to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the finished GIF file from there. Near perfect weather on Monday and Tuesday made the fractal cats happy. It made the fractal human happy also, but with so much to do, he had little chance to enjoy the conditions. On Wednesday a short but intense thunder-storm broke up the cats' afternoon, and sent them scurrying for cover. Today is starting cloudy with more showers. With two tropical disturbances coming this way, it remains to be seen how things will go in the cat world. And with any luck at all, the next FOEFD will appear in a few days. Until then, take care, and don't give up hope. The FOEFD will soon revert to the FOTD. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Ringworld { ; time=0:00:21.20--SF5 on a P200 reset=2003 type=mandel passes=1 center-mag=-1.52167130216204700/+0.000018953220831\ 17/1.477707e+012/1/-130/0.00825556090964243289 params=0/0 float=y maxiter=3600 bailout=9 inside=0 logmap=556 periodicity=10 mathtolerance=/1 colors=0005AU4CW3EY2G_1Ia1Kb3I`4GZ6EX7CV8ATA8RB6PC\ 5NH4LM4NR3RW3V`2_e2cj1go1ks1or8iqFdqL_mNYjPWgRUcTT\ `VRYWPUYOR_MOaKKcJHdHEfFAhE7jC4lA1m97lCDlEIlGOkITk\ KZkNdjPijRojTtjVqcYoX`mQcjJfhCif6ld7kc8ja9j`9iZAiY\ BhWBgVCgTDfSDfQCePBdOAcNAbL9aK8`J7_I7ZG6YF5XE4WD4W\ CXTCxRBuNAsJ9qG8oC7m86k5Hc4RW4aO3kG3u93tF6tK9tPCtU\ FtZIsdLsiOsnRssUsxXUvP4uI6tL8sNArPCqRDqTFpVHoYJn_K\ naMmcOleQkgRkiShjTekUblV`mVYmWVnXToYQpZNqZLqWMkTNe\ RN`OOVMPPJPKHQEER8CR3BQ7BQBBPFAPIAOMAOQ9NT9NX9N`8M\ c8Mg8Lk7Ln7Kr7Kv7Ky9MsAOnBQiDRcETZFVUHXPKYJM_EXa9Y\ d4`iHfpTnwdpqamlZjgWhbTeXQbSN_NKYIIUHMVGPUFSUEVUDZ\ TCaTBdUAgUAjSCjRDjPFjYpY`nVcmSflPhkMfgKddIb`GaYE_V\ CYRAXO8VK6TH4SE3VODXXNZfX`ofbkddhbfd`ha_jYYlVWnRUp\ QTrRRtSPvTOtURsVUrWXpXZoYanZdm_fk`ijalicogeqfgteiw\ dkyemxeoxeqxesxeuwezweywezwezvezvezvezvhzyizwjzujz\ tkzrlzplzomzmnzknzjozh6zH } END PARAMETER FILE=========================================

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FOTD 09-08-04 (Metaphysical Magic [4])
by Jim Muth 09 Aug '04

09 Aug '04

FOEFD -- August 09, 2004 (Rating 4) Fractal visionaries and enthusiasts: Today's image shows a tiny midget in a remote valley of a sub-bud on the northwest shore of the main period-2 bud of the Mandelbrot set. It is everything that might be expected of a midget in this particular location, which really is not all that much. As I study the image, several questions come to mind. The first question is 'how can I attract a larger FOTD following if I keep admitting in the discussions that the FOTD fractals are not very good?' The next question is 'how can I claim that the fractals are good when I feel they are not?' The third question is 'how can I present good fractal images when I lack the time to find and develop them?' An unrelated question is 'how soon will the aliens from Alpha Centauri invade and take over the earth?' Considering all these fractal problems, I could rate today's image at only a lowly 4. As is always the case, with more time, I could have produced a better rendering of the scene. As for those aliens from outer space, the existence of which skeptics still doubt, only the government co-conspirators know when the invasion is coming and we will all be spirited off to the slave labor camps on the far side of the moon. I named today's image "Metaphysical Magic". After all, fractals are metaphysical, and a metaphysicist is a scientist doing rational science without the benefit of a laboratory. And now, the work is again piling up, and I find my thoughts wandering from the fractal topic. I guess this means it's time to post this FOEFD and get busy on other things. The overall worth of today's image is 97. The finished image can be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Perfect weather on Saturday and Sunday made the cats perfectly happy. They spent two long afternoons in the cool shade of the holly trees at the bottom of the yard. Today looks like a repeat, which will likely give them another good day in the yard. For me, the work is slowly yielding to persistent effort. The end is in sight, but it is still quite far off. The next FOEFD will appear in a few days. Until then, take care, and I sometimes wonder whether fractals have minds that can think rationally. I suspect they do not, but I am not certain. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Metaphysical_Magic { ; time=0:04:06.83--SF5 on a P200 reset=2003 type=mandel passes=1 center-mag=-1.21851062692924200/+0.159022894764565\ 60/1.326992e+010/1/-67.505189658390492/0.006498677\ 90712158749 params=0/0 float=y maxiter=25000 bailout=9 inside=0 logmap=4808 periodicity=10 colors=000d`mcbmcdmbfmbhmdinejnfkngknhlnimnkmoknom\ nonmoolnnknliligieefbcdZaaW_ZSYWQWURVXSUZTT`VUbWVd\ XVfZWh_Wj`XlbYncYpdZrf_tg_vh`xi`zdbw_cuWdsRfqMgnIh\ lDjj8kh4lfEcaNWXWOTeGOn8Jw0Fq0El0Dg0Db0CY0BT0BO0AJ\ 09E09D3BD5CC8DCAEBDFBFGAIHAKIDNLFPOISRKUUNXXPZ_Sab\ UcdTdgTdiSdlSdnRckQchPcePcbOb_NbXNbVMbSLbPKaMKaJJa\ GIaDIaBL`FN`IQ`LS`OV`RX`U__Xa__d_bf_ei_hk_keWg`TdV\ QaQNZLJVFGSADP5AMYGsXItWJtVKtULtTMuSNuROuQPuPQvORv\ NSvNTvPRmQQeSOYTNQVLIWKATLCRMDPNENOGLPHJQIHRJFSLDT\ MBUN9VO7WQ5XR3YS1YT3WU5VV6UW8TXASYBRZDQ_FP`GOaINbK\ McLLdNKePJfQIgSHcUG`WGXYFU_ERaENbDKdDGfCDhBAjB6lA3\ mA0iD2eF4aH6YK8UMAROCNQEJTGFUIBXK8ZLBXJDVIGTHIRGLQ\ FNOEQMDSKBVIAXH9_F8aD7dB6f95h84g9Fh9QiA`jAckBflCim\ DlnEooFrpGuqHwrIxsJytKzuLzvMzwNzxLzyKzzIzzHzzFzzEz\ zCzzBzz9zz8zz6zz5zz4zzBzzIzzPzzMzzKzzHzzFzzCzzAzzi\ zzgzzdzzazz_zzXzzVzzXzzZz } END PARAMETER FILE=========================================

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Interesting Stats for a Dream PC
by Paul N. Lee 08 Aug '04

08 Aug '04

Greetings, For those thinking about getting new hardware, whether just a component or a whole system, you may wish to read several web pages on what CNET Labs has recently done: http://ct.com.com/click?q=c6-URF9QMLIscR4hgzIIXTPm8dHu6ZR Some interesting results on Graphics and other areas. Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

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New video board for Fractint
by Tim Wegner 08 Aug '04

08 Aug '04

Success!! Got a reasonably inexpensive new video board with good VESA VESA BIOS Extensions (VBE) support. My considerations were: 1. Good VBE so Fractint would work. 2. I'm not a gamer, don't need latest and fastest 3D support, but did want some decent 3D support. You never know what software I might want to run. 3. Work well with Windows XP and Linux with reasonably current drivers. 4. DVI connector and TV out just in case I want to use them (maybe get an LCD monitor). Use the AGP slot 5. Reasonably cheap ($60 or so) What precipitated this was that my ATI Radeon 7500 hangs up in SVGA modes with Fractint, and even if it didn't, doesn't have great Fractint/VBE support. 1600x1200x256 is more or less the "fractint holy grail" for video modes, and the ATI quites well before that (if it worked, of course, which it doesn't). To be fair, others have told me that their ATI boards work OK with fractint, but they have complained of limited number of available modes. Since ATI, the performance leader these days in video boards, doesn't seem to have very good VESA VBE support, I opted for an Nvidia Geforce board. Nvidia doesn't seem to make their own boards, but there are many brands that use their chips. I picked Chaintech in Taiwan because I could find reasonable information on their web site. I bought the board from www.axiontech.com because they are local to Houston and I could drive over and pick up the board. The exact board I got was a Chaintech FX20, a 128MB Geforce FX5200 board. This Nvidia Geforce 5200 chipset is has been out about a year, and is the current Nvidia low end, which is what I wanted. VESAINFO reports (edited for only the 256 color modes): Allegro VESAINFO utility 3.0 By Shawn Hargreaves, 1997 VESASignature: VESA VESAVersion: 3.0 OEMStringPtr: NVIDIA TotalMemory: 2048 (131072K) Mode 0x130: 320x200 8 bpp packed pixel Mode 0x131: 320x400 8 bpp packed pixel Mode 0x134: 320x240 8 bpp packed pixel Mode 0x100: 640x400 8 bpp packed pixel Mode 0x101: 640x480 8 bpp packed pixel Mode 0x103: 800x600 8 bpp packed pixel Mode 0x105: 1024x768 8 bpp packed pixel Mode 0x107: 1280x1024 8 bpp packed pixel Mode 0x147: 1400x1050 8 bpp packed pixel Mode 0x145: 1600x1200 8 bpp packed pixel I downloaded and installed the latest Nvidia drivers for XP (not needed for Fractint) and installed the board without a hitch. However makefcfg crashes under XP (I'm not sure why, makefcfg is based on vesainfo.) So I booted to DOS but needed a DPMI server to run the program. There's a free one at: http://clio.rice.edu/cwsdpmi/csdpmi5b.zip In any case, you don't really need makefcfg. Just take the standard fractint.cfg, copy and pace one the "VESA Standard Interface" modes, edit the resolution, and put the mode number from vesainfo (without the leading 0x) into the BX register column. I'll look into making up a freedos boot disk with a DPMI server and makefcfg on it. We could publish an image of it at fractint.org. When all this was done, I was happily running fractint at 1600x1200. Note that I've been able to do this for a long time on my old computer (circa 1998) with a Nvidia Riva TNT based board. I'm just happy current boards still have legacy VESA support. One final footnote. The board I bought actually has a VESA 2048x1536 mode, but only 32 bit true color (sigh!). Tim

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Re: [Fractint] Fractint with AGP??
by BillatNY＠aol.com 07 Aug '04

07 Aug '04

Tim, I have a Windows XP system with a Radeon 9600 XT AGP card. Fractint works fine with it. As an aside, you may recall that many people on this list, including you, tried to help me with a problem I had when I first got the card. Fractint would not give me any resolutions over 640 X 480. Nothing I tried helped. However, I recently purchased a new monitor. It's a SyncMaster 173P LCD display. I can now get resolutions up to 1280 X 1024. My previous SONY monitor was certainly capable of the handling these resolutions, so I don't know why changing the monitor should have had an effect. Maybe this will give you some ideas about your own situation, though. Bill Rossi _http://members.aol.com/billatny/_ (http://members.aol.com/billatny/) _http://www.arts4u.org/rossi/_ (http://www.arts4u.org/rossi/)

6 9

FOTD 07-08-04 (Philosopher's Stone [4])
by Jim Muth 07 Aug '04

07 Aug '04

FOEFD -- August 07, 2004 (Rating 4) Fractal visionaries and enthusiasts: Following advice that appeared on the Fractint list, and feeling a bit disappointed with the recent irregular FOTD postings, I have decided to temporarily change the title of my fractal postings from the FOTD to the FOEFD. Until further notice, the 'Fractal of the Day' will be known as the 'Fractal of Every Few Days'. Today's FOEFD takes us back to the Mandelbrot set, which is just about the only thing I have time for nowadays. The area under investigation is the third valley of the north period-3 bud complex. The area is a difficult one, requiring an extreme maxiter and a magnitude that presses the limits of the conventional math routine. In fact, the magnitude in excess of 2*10^13 required me to insert the mathtolerance entry into the parameter file. The result of all this effort is a midget very like those that have been seen many times before. In an effort to bring a little life to the scene, I rendered it with the outside set to 'real', but even this left some areas boringly flat. I could probably have done better with the coloring if I had had the time. As it is, the image rates a 4, which is only a little below average. The render time of 23 minutes gives an overall value of 17. I named the image "Philosopher's Stone" for some reason that I have now forgotten. The philosopher's stone was supposed to be a magical stone that could somehow change base metals into gold. Alchemists spent their lives searching for it. I doubt that any ever found it. If all goes well, over 23 minutes can be saved by downloading the GIF file of today's image from the FOTD (FOEFD) web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Since the name change to FOEFD is temporary and a bit frivolous, the internet address of the web site will remain unchanged. Except for a brief thunder-shower Wednesday evening, the weather here at the original Fractal Central has been near perfect for intrepid cats. The slightly-less-intrepid human had little time to enjoy the conditions however. Today is starting near perfect once again. The cats will be happy; the human will be working. And the next FOEFD will appear in a few days as promised. Until that moment arrives, take more than care, and live a fractal life. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Philosophers_Stone { ; time=0:23:34.94--SF5 on a P200 reset=2003 type=mandel passes=1 mathtolerance=/1 center-mag=-0.11100225432087810/+0.882338206182969\ 80/2.248947e+013/1/-94.5/0.0223318343957402271 params=0/0 float=y maxiter=5000000 bailout=9 inside=0 outside=real logmap=23338 periodicity=10 colors=0006AO79Q88S98UA7WB6YC6_DAaEEcFIeGMgHQiITkK\ XmN`oQdrThuWkwZlxalydlzgmzjmzmmzonzqnzsozupzwqzxrz\ yszztzzuzzvzzwzzxzzyzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zjoZgpWdqUarR_sPctagudkufmpeokdqgcsbbuYawUaxT`xT`x\ S_yS_yRZyRZdRqOXmcOksFirC`q9Sp7Jo4Ao22k95gG7cN9_TB\ W_DSfFPlHTSCW77`FBeMEjUIo`LsgOpjUmlZjncgphdrmatr_v\ walpccjeVcgMYiDSPME4V18`ACeIGjRKoZOtfQrfSpeUneWleY\ jd_hdafccdcebccd`afZ_gXYiVWkSUlQTnORoMPqJNsHLtFJvD\ IwBSwIawOkwUuw_tvZsyYruXquWptVotUnsTmsSlrRkrQjqPiq\ OzpOVYVHE`KD_MDZPCYRCXTBWWBVYBU_ATbASd9Rf9Qi8Pk8Om\ 8NlANwCNjDNiFNhHNhINzKNfLNeNNdPNdQNzSNzUNzVNzXNzYN\ zXQzWSzWUzVXzUZzU`zTczSezSgzWhz_izcjzgkzklzmmzmnzm\ ozmpzmqzmrzmszmtzmuzmvzmwzmxzmyzmzzmzzmzzmzzmzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmz } END PARAMETER FILE=========================================

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mr. Gerald K. Dobiasovsky, thanks!
by David Lowenstein 07 Aug '04

07 Aug '04

thanks for the formula! -david

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Re: [Fractint] Fractint with AGP??
by gnome＠hawaii.rr.com 06 Aug '04

06 Aug '04

I just tried it, too, and get an error 404: "The requested URL '/VESAINFO.TXT' was not found on this server." David gnome(a)hawaii.rr.com ----- Original Message ----- From: "Paul N. Lee" <Paul.N.Lee(a)Worldnet.att.net> Date: Thursday, August 5, 2004 6:11 pm Subject: Re: [Fractint] Fractint with AGP?? > Tim Wegner wrote: > > > > I have put a vesa test program here: > > http://tim.fractint.org/VESAINFO.TXT > > > > I tried the above URL on two different ISP and with three different > browsers. None of them were able to retrieve a valid file.

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Re: [Fractint] FOTD 04-08-04 (For Ever and Ever More [4])
by gnome＠hawaii.rr.com 06 Aug '04

06 Aug '04

When I checked the August page yesterday, the only august entries that were there were for the 1st and 2nd. The 3rd and 4th were not even on the page. David gnome(a)hawaii.rr.com ----- Original Message ----- From: "Paul N. Lee" <Paul.N.Lee(a)Worldnet.att.net> Date: Thursday, August 5, 2004 6:42 pm Subject: Re: [Fractint] FOTD 04-08-04 (For Ever and Ever More [4]) > jimmckenzie wrote: > > > > Can't get the file. I've Nuked the > > cookies and and cache. Any suggestions > > would be appreciated. > > > > "Jim Muth" wrote: > > > > > > The completed image may be found at: > > > > > > <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > > > > > > > Strange, it has only been accessed five times since it was > uploaded, and > each FOTD usually gets more than that in a 24-hour period. > > I re-uploaded to the website, so give it another try. > > > Sincerely, > P.N.L. > ------------------------------------------------- > http://home.att.net/~Paul.N.Lee/PNL_Fractals.html > http://www.Nahee.com/Fractals/ > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

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sorry about the multifractal bit!
by David Lowenstein 06 Aug '04

06 Aug '04

it's a new topic you can find online. -david how does one calculate the rudy set?

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Next FOTD coming Aug. 7
by Jim Muth 06 Aug '04

06 Aug '04

Fractal fans: Due to the continuing rush, the FOTD for Aug 6 has been pushed back to Aug. 7. Hopefully, it will be worth the wait. Luckily, the end of the rush is now in sight, and we should be back to the daily schedule before the end of the month. Jim M.

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Re: [Fractint] Fractint with AGP??
by Russell Walsmith 06 Aug '04

06 Aug '04

I've been using an Nvidia Gforce 4200i (with XP) for more than a year now, with no problems. I have noticed though, that an alt-tab back to the desktop is quite slow compared to other cards. A function of the card's 64 MB of memory perhaps... Russell ----- Original Message ----- From: "Tim Wegner" <twegner(a)swbell.net> Date: Thu, 05 Aug 2004 21:51:48 -0600 To: BillatNY(a)aol.com,Fractint and General Fractals Discussion <fractint(a)mailman.xmission.com> Subject: Re: [Fractint] Fractint with AGP?? > I'd also be interested in how Nvidia based boards work with Fractint. > Does anyone have a board based on Nvidia Gforce 5200? I'm not a gamer > so I don't need the latest and greatest 3D, so I figure a board about > like an Nvidia Gforce 5200 would be about right if it has good VESA > VBE support. > > I have put a vesa test program here: > > http://tim.fractint.org/VESAINFO.TXT > > This dumps out a whole lot of information using: > > vesainfo -v > yourboard.txt > > Of course the makefcfg.exe program gives similar information. > > Maybe we should build up a database of boards known to work OK with > Fractint. I'm not sure how long before VESA VBE is no longer found in > video boards ... > > Tim > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

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FOTD 04-08-04 (For Ever and Ever More [4])
by Jim Muth 06 Aug '04

06 Aug '04

FOTD -- August 04, 2004 (Rating 4) Fractal visionaries and enthusiasts: The continuing rush here at Fractal Central shows little signs of abating. But the fractals keep coming. And why not? The FOTD is becoming so automated that it takes little more than 10 minutes of my time. The question now is, 'can good fractals and interesting discussions be found automatically, and if they can, what does this say about the worth of fractals in general?' Today's hastily-found image takes us deep into the east branch of the valley of the period-3 bud on the north shoreline of the main cardioid (bay) of the Mandelbrot set. I searched for all of two minutes before finding this familiar-looking scene, whose only redeeming features are a too-high logmap value and a little extra attention given to the coloring. The too-high logmap is the cause of the flat background, which is not all bad, since it gives the overall scene the appearance of brilliant little beads floating in infinite space. I named the image "For Ever and Ever More", and rated it at a 4, which fits well with the fourth day of the month. When the render time of over 15 minutes is figured in, the overall value rates a 26. When the completed GIF image is downloaded from the FOTD web site, the overall value has little meaning. The comple- ted image may be found at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Monday and Tuesday were warm and muggy here at Fractal Central, but no rain fell and the dynamic fractal cats had two good days in the yard. Today is starting similarly. It again looks good for the duo. For me it looks like more work waiting to be done, but that's nothing new. Until next time, most likely in a day or two, take care, and if you find life too filled with worries, become a nihilist. Then you will have nothing to worry about. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= ForEverAndEverMore { ; time=0:15:21.82--SF5 on a P200 reset=2003 type=mandel passes=1 center-mag=-0.1234\ 0737875086490/+0.64952904883141020/1.548597e+009/1\ /-154.999960516307141/-7.38957991124056246e-005 params=0/0 float=y maxiter=420000 bailout=9 inside=0 logmap=11483 symmetry=none periodicity=10 colors=000cczcbycaxd`we_vfZugYthXsiYrjZqk`qlaqmcqn\ droerpgrqhrpisqirqhqqgpqfoqfnqemqdlqckqbjqbiqahq`g\ r_gr_frZerYdrXcrWbrWarV`rU_rTZrSYrSXsRXsQWsPVsPUsO\ TsNSsMRsLQsLPsKOsJNsIMsIMtJLtJLtKLtKLtKLuLLuLLuMLu\ MLuMLvNLvNLvOLvOLvOLvPLwPLwQLwQLwQLwRLxRLxSLxSLxSL\ xTLxTLyULyULyULyVLyVLzWLzWLzWLzXLzXLzXLyWKyVKxVKxU\ KxUKwTKwTJwSJvSJvRJvRJuQJuQJtPItPItOIsOIsNIsNIrMHr\ MHrLHqLHqKHpKHpJHpJGoIGoIGoHGnHGnGGn4InGGkSFiUDgWC\ eYBc_AaaA_cAYeAWgAUh9Si9Qj9Ok9Ml9Km9Im8Gl8Ek8Ej8Ej\ 8Ei8Eh7Eg7Ef7Ee7Ed7Ec7Fb6Ka6P`6U_6ZZ6_Y6hX5ZW5YW5X\ V5WU5ZT5SS4QR4OQ4MP4KO4IN4GM3GL3GK3GJ3GI3EK4GI3IG3\ KF3MD3OC3QA2S92U72W62Y42_32`53`64`75a86b97cA8dB9eC\ AfDBgFChGDiHDjIEkJFlKGmLHnMIoNJpPKqQLrRMsSNtTOuUOv\ VPwWQxXRyZSz_Tz`UzaVzbWzcXzeYzgZziZzkYzmXzoWzqXzs_\ zubzwezyhzzkzznzzqzztzzwzzyzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

3 3

please is anyone listening to me?
by David Lowenstein 06 Aug '04

06 Aug '04

why are people ignoring me? -david

3 2

Re: Feigenbaum number
by JackOfTradeZ 06 Aug '04

06 Aug '04

Tony - yes. The ratio of circles is the first Feigenbaum constant, 4.66920 ... (infinite sequence). That number shows up in a lot of places ... you can set it as the Mandelbrot exponent to get a strange creature also: http://www.sonic.net/~jot/fg7.zip . Stay Amazed! JoTz JackOfTradeZ(a)comcast.net

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Re: [Fractint] please is anyone listening to me?
by gnome＠hawaii.rr.com 06 Aug '04

06 Aug '04

Hmmm, what you talking about? David gnome(a)hawaii.rr.com why are people ignoring me? -david _______________________________________________ Fractint mailing list Fractint(a)mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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Cardioid plus circles...?
by Tony (Anthony) Hanmer 05 Aug '04

05 Aug '04

I have read that the Mandelbrot Set can also be though of as a cardioid (the main body) with circles attached to it. Looks likely to me. Does anyone know the ratio of sizes of successive circles to each other, and of the largest of them to, say, the "vertical diameter" of the cardioid? It isn't Fiegenbaum's first Constant by any chance, is it? Next: Is the arrangement (position) of the circles something which might be programmed, knowing size ratios, avoiding the standard z->z^2+c programming entirely? Tony Hanmer Tbilisi, Republic of Georgia _________________________________________________________________ The new MSN 8: smart spam protection and 2 months FREE* http://join.msn.com/?page=features/junkmail

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Q 4 SherLok Merfy re "Hw2 combine diff vus of a fractal in truecolour"
by Hal Lane 03 Aug '04

03 Aug '04

############################################### Thanks for the pics: http://ecn.ab.ca/~brewhaha/img/cards/heart.htm http://ecn.ab.ca/~brewhaha/img/cards/diamond.htm You say: > If you are interested in how to combine > different views of one > fractal in truecolour, then you might find > http://ecn.ab.ca/~brewhaha/img/cards/par.gz > to be interesting. Do your formulas do the combining of two different views both of which you calculate within the formula - or do you use something like PhotoShop to combine two separately calculated images? I didn't understand how the formulas in your file: cards.par were combining two views (if they were doing that). I also ask if you use another program in addition to Fractint because I noticed that your images were .jpg and not the .gifs written by FractInt. Also, your statements: > I equalized the chrominance view through a mask. and > ...it's hard to beat FracTint combined with a > good pixel editor. imply the use of programs other than FractInt. What program(s) do you use to equalize the chrominance view through a mask? <---<< What program(s) do you use to combine different views of a fractal into true color? <---<< What program(s) do you use to do pixel editing? <---<< What effects do you try to achieve when you edit pixels? <---<< By the way, you typed "FracTint". The intent of the name Fractint was originally "an INTeger fractal calculator" -- so I would expect a recapitalization to be "FractInt" rather than your "FracTint", altho Fractint does apply 'tints' to fractals (mathematical abstractions) and thereby creates color images... - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ############################################### --- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.732 / Virus Database: 486 - Release Date: 7/29/04

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Re: [Fractint] Multiple Boot for FractInt Users
by Mark Christenson 03 Aug '04

03 Aug '04

<de-lurk> *** Prenatal Advisory: WAY off-topic. Penance forthcoming. *** Ja no, Merf, I usually take little notice of yer postings, butt eye must chime in on a couple of points. > My computer says "Designed for Windows NT and 98" and I don't even >believe that. (If I did, then I wouldn't hav tried Linux). As far as I'm >concerned it was designed for DOS and Win3.1, which would be a bit nicer >if MicroSoft's Win32s would install again (because I can quit from it >without rebooting the machine). God, I long for the days of Win 3.1. I had to upgrade from my old flintlock 486/80 to a Win 98 PII so I could run Java and burn CDs. I hoped I would adjust to the '95 and subsequent limitations and quirks, but still: - I'm G**-damned sick and tired of not being able to do block file renames. I archive a LOT of data from my Web surfing, and I despise having to manually rename every file without an extension to .TXT or whatever so I don't have to tell Windoze what app to use to open it. - I'm also tired of Win 98 (which is the latest Win OS I can run without employing fancy workarounds to support pure DOS mode) trying to second-guess me when I am dragging files between folders and questioning my every decision to change a file extension. - I'm REALLY tired of Microsnot referring to reduced capability, bugs, quirks, and other defects as "features". I know I should move to some Linux-based solution, but am afeared of compatability issues with old DOS and Windoze apps... > Actually, this contraption has two warning labels. The other is >"Intel Inside", but at least Linux wil tel you if you hav one of their >buggy chips. I hear you. The old 486 box had an AMD chipset and was considerably more stable than the Intel/PII/Win98 system. Of course maybe it's the OS... ========== In Fractint tradition, I offer a PAR in penance, a glimpse into the enticing universe of Sylvie Gallet's gravijul-v3: gjv3-ai { ; * cotan/asin /exp z/o ah decomp sg6 (c) Bud 2002 20 Dec reset=2002 type=formula formulafile=gravjulz.frm formulaname=gravijul-v3 function=cotan/asin/exp passes=1 center-mag=-0.41318/0.502105/3.846154/1.3333/-90/3.88578058618804789e-01\ 6 params=-1.003/-0.289156/-0.003/0.002/4/0 float=y maxiter=256 inside=255 outside=imag decomp=256 periodicity=0 viewwindows=2/1/yes/0/0 cyclerange=0/255 sound=beep/fm colors=000G00J00L00<12>a00b00c00<3>i00k00m00o00q00<3>x00z00y00<24>T88R88\ Q88<2>M99KAALBB<24>ljjmkknmm<2>qqqsssrrr<24>JMOIKNGJL<2>CFIADGAEH<24>2dq\ 2er2ft<2>1ix0kz0jy<24>DMPDLOEKM<2>FHIGGGHHG<24>qkTrlUtnU<2>xqWzsXyrW<30>\ GG0 } frm:gravijul-v3 { ; Variation on Mark Christenson's gravijul by Sylvie Gallet z = pixel: w = fn1(z) z = fn3(fn2(w*w)^p1) + p2 |z| < p3 } Aloha, Bud <lurk>

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Re: [Fractdev] Fractal Creations OCR
by Paul N. Lee 03 Aug '04

03 Aug '04

Tim Wegner wrote: > > John Wilson did what in my opinion is > a very successful experiment scanning > the first few pages of Fractal Creations > 2nd Edition (FC2). .....what OCR > software you used? I believe John stated on at least two emails to the FractInt List that he was using "ABBYY" as the OCR software. > > I've had offers of FTP access with login > for a few team members, but I don't think > this degree of security is needed. After your initial reaction to John's making those few pages available, my offers to have an FTP access with login was only to help assure you of some form of security. Now that this will not be necessary, maybe a few others will have some free time this summer to assist in the effort. Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

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Ancient Par Files.
by Peter Moreland 02 Aug '04

02 Aug '04

Hello Folks I used to be fairly active as a fractal artist about a decade or so ago! After a long break I want to start creating some more fractals. The first thing I want to do is get all my lost PAR files back together, particularly for the images that I contributed to Fractal Creations Second Edition published by the Waite Group and those posted in the CompuServe Graphics Forum. I have scoured the net and managed to find about 80% of them but the rest are rather elusive. If any of you folks have horded PAR files from this period or know of some sensible person who has an archive (I lost mine in a drive crash) that is on or off the net could you point me in the right direction? Many thanks Peter Moreland

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FOTD 02-08-04 (Mimoids [3])
by Jim Muth 02 Aug '04

02 Aug '04

FOTD -- August 02, 2004 (Rating 3) Fractal visionaries and enthusiasts: The rush continues here at Fractal central. Today's image shows a midget in the fractal that is created by subtracting Z^(-11) from 7 parts of Z^(1.1) then adding 1/C. It is basically a cut-off scene made more interesting by being rendered with the outside set to 'fmod'. The result is not all that interesting, and rates only a 3. But the very fast render time of 1 minute gives an overall value of a respectful 272. The name I gave the image -- "Mimoids" -- is a word from the novel "Solaris", where the living planetary ocean creates forms mimicking the images it finds in the minds of the visitors from earth. The task of downloading the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> is about equal to the task of running the included parameter file and waiting a full minute. Warm, muggy weather on Saturday and Sunday here at Fractal Central kept the dynamic cats confined to the porch. Occasional showers kept the grass wet, assuring that the duo would remain close to home. Today is starting the same, so I expect similar behavior from the duo. For me, it's the same old story -- work, work, work. Who said that being self-employed means lots of free time for fun. The next FOTD will appear as soon as I find time to find a worthy fractal, most likely in two or three days. Until then, take care, and be worthy of your fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Mimoids { ; time=0:01:06.40--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=-0.13795262862347370/+0.041547177846593\ 86/3.121372e+012/1/150/0.002408448 mathtolerance=/1 params=7/1.1/-1/-11/0/0 float=y maxiter=275 inside=0 proximity=1.4 outside=fmod logmap=19 periodicity=10 colors=000S8XT8XU8WV7WW7WX7WW2UX4VX6WX7WX9XXBXXCYX\ EYXFZXH_XJ_XK`XM`XNaXPaXRbXScXUcXVdXXdXZeX_eXafXbf\ _XXdRMcSNbSOaSP`SQ_SRZSSYSTXSUWSUVTVUTWTTXSTYRTZQT\ _PT`OTaNTaMUbLUcKUdJUeIUfHUhGUiFUk9UiBUkDTkFSmGRmI\ OoKLpMIqNFrPCsR9tS7uR8vR8wQ8xQ8yQ8zP8yP8xP8wO8vO8u\ O8tN8sN8rN8qM8pM8oM8nL8mL8lL8kK8jK8iK8hJ8gJ8fJ8cI8\ aI8_H8XH8WH8VG8UG8TG8SF8RF8QF8PE8OE8NE8MD8MD8LD8KC\ 8KC8JC8IB8IB8HB8GA8GA8FA8E98E98D55C98DCBDFDDJGEMJE\ PLETOFWQFZTFbWGeYGh`GlcHoeHqhHsjEujHsjKqjMojPnjSlj\ UjjXhi_fiaeidcigaii_ilYioZjsYirXiqXipWioWinVinUimU\ ilTikTijSijRiiRihQigQifPieOieOidNicNibMiaMiaOh_QgY\ RgXTfVVeUWeSYdQ_cP`cNbbMdaKeaIg`Hi_Fj_ElZClYAmZBmZ\ BmZBmZCnZCnZCnZDnZDoZDoZEoZEoZEpZFpZFpZFpZFqZGqZGq\ ZGqZHrZHrZHrZIrZIsZIt_Ju_Jv`Jw`KwaKwaKwbKwbKwcKwcK\ wdKwdKweKweKwfKwfKwgKwgKwhKwhKwiKwjKwkKwlKwmKwmKwm\ KwmKwmKwmKwmKwmKwmKwmKwmK } 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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Fractint with AGP??
by Tim Wegner 01 Aug '04

01 Aug '04

Has anyone successfully used Fractint with an ATI Radeon 7500 AGP video board, or for that matter, with any AGP video board? I have problems - computer hangs after the completion of an image in any SVGA mode (but not native VGA or tweaked modes). I swapped out the ATI board and put in an old PCI SVGA board I had lying around, and the symptoms went away. (Problem is not OS related, happens under Windows or DOS). Tim Wegner

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FOTD 31-07-04 (Deep Northwest [4])
by Jim Muth 31 Jul '04

31 Jul '04

FOTD -- July 31, 2004 (Rating 4) Fractal visionaries and enthusiasts: As can be inferred by the delay in the appearance of the FOTD and the shortness of this discussion, things are really hopping here at the old Fractal Central. The fact that we will soon start the search for a fractal central merely complicates matters. I will keep the FOTD going as best I can until the new Fractal Central is up and running, but the frequency will have to be cut back. Today's image is a scene deep in the northwest valley of the quartic Mandelbrot set. I rendered it with the passes=b, which, with this particular fractal, is the fastest and also the most fun. I named the image "Deep Northwest" in keeping with the names of the two most recent images. I rated it at a 4 because the theme is becoming a bit stale. The render time of almost 1/2 hour can be cut by several orders of magnitude by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A series of torrential rain showers interspersed with full sun kept the dynamic duo confined to the indoors all day Tuesday here at Fractal Central. The fractal basement escaped with nothing worse than a few puddles. Wednesday was far more pleasant, with morning showers but a mostly sunny afternoon, and a temperature of 84F 29C. The cats enjoyed three pleasant hours in the holly grove, while I enjoyed the work I managed to finish. Thursday was dry and pleasant all day. Friday turned warmer and muggy. The cats were happy but I was very busy. The next FOTD will appear in a day or two or three. Until then, take care, and are fractals physical objects, abstractions, meta- physical ideas, something in between, or something entirely new? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deep_Northwest { ; time=0:29:13.54--SF5 on a P200 reset=2003 type=mandel4 passes=b center-mag=-0.23624529656647050/+0.409189079052189\ 00/6.41237e+010 params=0/0 float=y maxiter=42000 bailout=9 inside=255 periodicity=10 colors=000yIwxMvxQuxTtxXsw`rwcqwgpwkovnnvrmvvlvyks\ xlpxlmwmjwmgvndvnbvn_uoXuoUtpRtpOsqLsqJsqLtrMtrNts\ OtsPtsQttRttSruTouUkuTfoTaiSYcSUYRRSRJMQGNPDNOBNN8\ NM6NL3NL1NT5R_8VfCZmFaqDqr9Yr5Fm7Hh9IkBGnCEqDCsEBq\ JCpNCoRCnVCmZCkbCjfCijChnCgrCfvChrGinJkjNlfQnbUoZX\ pW_kSZfPYaLXXIWSEVNBUI7TD4S81SC4RF7QJ9PMCOQENTHMXJ\ L_MKcOJfRIjTHmWGqYFt`EwcDzfKwiPtlUrnZooclpfjqhgrhe\ EuhGrkIpnKmqMktOhvQfoQehQdaQcWQbPQaIQ`CQ_DLcEHfFDi\ G8mH4pH0sL1rO1qR1pU1oX1n_1mb1le1kd3hc5eb7ba9_`AY_C\ VZESYGPXHNWJKVLHUNEUOCXNBZNA`NAbM9dM9fM8hL7kL7mL6o\ K6qK5sK4uJ4wJ3yJ3nFHcBUT7gI4tGCuEKuCSvB_vRBaSA_SAZ\ T9YT9XU8WU8VV7UV7TV7RW6QW6PX5OX5NY4MY4Lb1H_3JY4KW6\ LU7MS8NPAONBPLCQJERHFSEHTCIUAJV8LW6MX2LZ4NY6PY8RYA\ TYCUYEWYGYYI_YKaYMbYOdYQfYShYUjYVlXWkYWkYWjZWjZWi_\ Wi_Wh`Wh`WgaWgaWfb`ceWfbSh`NjYJlWLmUMmSOmQPmOQmNSm\ LTmJUmHUjVUlYz7zyByyFx000 } END PARAMETER FILE=========================================

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multifractals
by David Lowenstein 31 Jul '04

31 Jul '04

I have an idea what multifractals are, but are not sure if I am correct. -david Is a multifractal a fractal like object which scaling is also fractal? The Sierpinski triangle has a scaling factor of 2/3. In a multifractal, the scaling factor will vary depending on where the point is in the Sierpinski triangle. That means a sierpinski with a scaling of sierpinski, a fractal of a fractal. Or a cantor set with its stretching factor based on the cantor set? How about the Julibrot, where every layer is a different julia set? How about zooming into a sierpinski triangle where each point is a koch snowflake where each point is a sierpinski triangle? -david

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FOTD 27-07-04 (Deep in the North [6])
by Jim Muth 27 Jul '04

27 Jul '04

FOTD -- July 27, 2004 (Rating 6) Fractal visionaries and enthusiasts: The most recent FOTD took us to a scene deep in East Valley of the classic Mandelbrot set. Today's FOTD takes us to a scene deep in North Valley of the cubic Mandelbrot set. Just as East Valley is located on the real axis of the quadratic M-set, North valley is located on the imaginary axis of the cubic M-set, and most of what is true of East Valley is also true of North Valley. The main difference is that, in today's image, triangles are everywhere instead of squares. And the features surrounding the small central midget are arranged in ascending powers of 3 rather than powers of 2. The cut-off nature of the elements is again very prominent, though not so obvious as in the most recent 'deepeast' image. The terraced effect of the image was achieved by rendering it with the outside set to 'tdis'. The image is also rather striking when rendered using the conventional 'equal-iteration- band' method. I named today's image "Deep in the North" and rated it at a 7. The overall value rates an 11. The image does not use a super-fast hard-coded formula, but rather a formula I wrote several years ago. The result is a parameter file that takes over 53 minutes to run. Luckily, the pre-rendered image will soon be available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Sunday was cloudy and cool, but dry -- temperature 72F 22C. Monday was partly sunny and quite pleasant (81F 27C) here at the Old Fractal Central, soon to be moved to the New Fractal Central. Today it is raining. The cats enjoyed both Sunday and Monday. It's too early to see how they will take today's conditions. I don't know about the cats, but I'm going to make it a work-day. We still have quite a bit of work to put behind us. The next FOTD will appear in 24, 48, 72 or 96 hours. Until then, take care, and cheer up. Life is just a big fractal hologram. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Deep_in_the_North { ; time=0:53:57.87--SF5 on a P200 reset=2003 type=formula formulafile=slices.frm formulaname=MandelbrotCube passes=1 inside=0 center-mag=+0.00000001446441666/+1.088667239670043\ 00/4.657424e+011/1/30.0026626496268527/-8.93078864\ 284968521e-007 params=0/0/0/0 float=y maxiter=50000 outside=tdis periodicity=10 mathtolerance=/1 colors=000rGwtHwsIurJtrKsqLrpMppNooOnoPmnQkmRjmSil\ ThlUg`SeQQdFOcFMadW`hVckVfoUhrUkvTnyTpwRiuPcsOYqMS\ oLMnMJmNHlOElPCkRGjSKjTOiUShVWhW_gXcfYgfZjbWi_UiXS\ hUQhQNhNLgKJgHHfDEfACf7Ae48e16e78dD9cIAcOBbTCbZEad\ F`iG`oH_tI_pKbmMejNggPjdQl`SoYUrVVtSXwPYyIVpBSg5PZ\ 6S`7Pa7Mc8Jd8Ge9DgAAhA7jB4k4Eg5Ch6Ai78j8`X6Wd4Ql3L\ t6Kr9JpCInFHlIGjKFhNEfQDdTCbWB`ZAZ`AXVC_PEbJFeDHh7\ Jk1Kn2Nm3Ql3Tk4Wj5Zi5ah6dg7gf7je8md9pc9rcCWjFApIEo\ KInNLnPPmSSlUWlX_kZbjafjciifmhhphgqjgqkfqlfqmfqneq\ oeqperqdrrdrsdrtcrucrvcrw_quXptUpsRoqOopLnoImmFmlC\ lk9li6kh3kg4ee4`c4Wa4Q_5LY5GW5AU55S50QFDOOPNX`LelK\ bhJ`eIYbHW_GUXFRUEPRDMOCKLBIIAFF9DC8A9786A63F8AKAH\ KQJKSLKQDKT0KUMPYOUXNReVaiXcmYeq_guaiyckzhnzmqzrtz\ wwzzzYLkbBrf1yg4vg6th8rhAphCn_QfRc_IqTLoWOnYRm_Tka\ WjcZieaggcfifelicnlbpnarq_ttZvwYxyXzsYynZxi_wc`vZa\ uUbtPcsf4yh6yj8xlAxnCxpEw } frm:MandelbrotCube {; Jim Muth real(c),imag(c) z=p1, c=pixel+p2: z=z*(sqr(z))+c, |z| <= 16 } END 20.0 PAR-FORMULA FILE==================================

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FOTD 25-07-04 (Deep in the East [6])
by Jim Muth 25 Jul '04

25 Jul '04

FOTD -- July 25, 2004 (Rating 6) Fractal visionaries and enthusiasts: Today's image is named "Deep in the East". The name indicates that it is a scene located very deep in East Valley of the Mandelbrot set. The center real coordinate of 0.250007... indicates exactly how deep in East Valley the scene lies. The imaginary value of -0.0000000296... shows the narrowness of the valley at the real value of 0.250007. The maxiter of 1,300,000 might be a bit excessive, but it indicates the difficulty of exploration in this area of the M-set, where most of the elements in the image have a maxiter of well over 10,000. The magnitude of 8*10^12 emphasizes the difficulty of the area. The mathtolerance entry in the parameter file is needed to assure that the image renders at the correct magnitude and does not slip into arbitrary precision math, which would cause the image to take at least 72 hours to finish. The most striking thing about the image is the 'pinched-off' nature of the elements. This 'pinched-off' effect is common in the deeper parts of valleys. The entire scene is located in the shallow part of an 'elephant-trunk' spiral, the location being reflected in the curving elements surrounding the midget. I rated the image at a 6, since I feel it is a bit above average in fractal worth. When adjusted for the render time of 26-3/4 minutes, the overall value registers a 22. That value may be increased by downloading the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A warm showery day Friday led to a dry cloudy and cooler day Saturday. The cats went no farther than the covered porch on Friday, but enjoyed several pleasant hours in the holly thicket on Saturday. Rain is threatening again today, so it remains to be seen how the cats will make out. As for me, I plan on taking it as easy as possible, ignoring the overdue work until tomor- row. Until the next FOTD appears, take care, and meditate for fractal serenity. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deep_in_the_East { ; time=0:26:49.37--SF5 on a P200 reset=2003 type=mandel passes=1 center-mag=+0.25000708379627680/-0.000000029635013\ 58/7.976154e+012/1/15.01703628653671/-0.0446438823\ 576447985 params=0/0 float=y maxiter=1300000 bailout=9 inside=0 periodicity=10 mathtolerance=/1 colors=000zuuwrruposmlpkjniglfdidaga_e_XcYU`VRZTPX\ QMUOJSMGQJENHBLE8JC5HA3I95I97I88I8AJ7CJ7DJ6FJ6HK5I\ K5KK5LK4NK4PL3QL3SL2UL2VM1XM1ZM0_M0aM0bQ4aU8aYCa`G\ adKahOakSaoWas_avbar`Yo_VkZShYPdWLaVIYUFVTCSS9RRCQ\ QFPPIOOLNNOMMQLLTKKWJJZIIaHHdGHfHGcIFaIE_JDYKDVKCT\ LBRMAPMANNDONFPOIQOKRPNSPPTQSUQUVQXWRZXRaYScZSf_Th\ `TkaUnbUpcUmdWkbXg`ZbZ_YXaUVbRTdFRe9Pf4Nd6Ob7Pa8P_\ AQYBQXCRVDSTFSSGTQHTOIUNKVLLVJMWINWHOUHOTGOSGOQFPP\ FPOEPNEPLDQKDQJCQHCQGBRFBREARCARB9SA9S88S78S68S5AU\ ABWECYJE_NFaRGcWHe_JgcKihLklMlpNkpOjoPioRhoSgoTfnU\ enVdnXcnYbmZam_`m`_maZm`ak`dj_gh_ig_jfVh`RdWM`RIXM\ DSG9OB4K60G11J41M61P81SB1VD1YF1`H2bK2eM2hO2kQ2nT2q\ V2tX2vZ7uWCtUGtSLsPQrNUrLZqIcpGgpEhnFhlGijHiiIjgJj\ eKkdLkbMl`Nl_NmYOmWPnVQnTRoRSoPTpOUpMVqKWqJWrHXrFY\ sEZsC_tA`t9au7bu5cu4cs6cr7cp8coAcmBclCckEciFchGcfH\ ceJcdKcbLcaNc_OcZPcYQczww } END PARAMETER FILE=========================================

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FOTD 23-07-04 (Scepter Star [5])
by Jim Muth 23 Jul '04

23 Jul '04

FOTD -- July 23, 2004 (Rating 5) Fractal visionaries and enthusiasts: Today's image is fast as lightning. 9.77 seconds is hard to beat. The speed is especially impressive when it is realized that I once did a fractal that took over 17 days to complete, and even then it never made the exalted group of fractals known as FOTD's. I have long since lost track of that 2-1/2 week image, but as I recall, it was so routine that I would have discarded it even if it had rendered in 2-1/2 minutes. Just as a long render time does not necessarily make a fractal good, a short render time does not necessarily make a fractal bad. Today's image lies in the gray border area between good and bad. It is what one would expect at this depth of the Mandelbrot set in the vicinity of the large midget at -1.75 on the X-axis. I rated it at a 5 accordingly. When the near instant render time is considered, the overall value rates an obviously artificially high 3067. The exact location of the image is in a scepter in a slight spiral on the northern shore of the third bud on the main stem of the largest midget. I named it "Scepter Star" for descrip- tive reasons. The fastest way to see the image is to run the included parameter file. If you are not set up to conveniently run parameter files, the best way is to download the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Wednesday and Thursday were typically hot sultry days here at Fractal Central. The duo of cats made the most of things by spending both afternoons in the shade of the holly trees, which are already filled with the green berries that will turn red as cold weather approaches. By the time the showers arrived on Thursday evening, the cats were ready to come indoors. I passed the time trying to catch up the backlog of work. I'm almost thinking of sending some of it to be done elsewhere, but I have not quite yet made the decision. The next FOTD will appear in a day or two. Until then, take care, and keep a stiff upper fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Scepter-Star { ; time=0:00:09.77--SF5 on a P200 reset=2003 type=mandel center-mag=-1.7795765124445\ 44/+0.00036527935588667/8.701034e+010/1/72.5526171\ 829100832/-0.0592587906289372829 params=0/0 float=y maxiter=2200 bailout=9 inside=0 logmap=282 periodicity=10 colors=00061X62W63V74U75T87S89RDMQIOPNQOSTNXXMa`Lf\ dKkhJrmJvrJzvJwtOuqStoWrm_pkcoigmgkleo_leNuWAzNIwV\ PubXsjcmrbhqacpaZn`Wm_Ul_TjZSiZRhYQfXPeXOcWMbVLaVK\ _UJZTI_TH`SGaCKbDKcEKdFJcEIaEGYDFRCEKBCFABAAA5CDAD\ GEFJIGLMIOQJRUKUYMWaNZePaiQdmRfqSdlTchUbdVa`W`XXZT\ YYPZXL_WH_VDdYLi`SncZsfewgkpbfiW`bPVWJPPCJJ6ED1AI6\ CMBDQGEUKFYPGbUIgYJlbKqgLvkMohNheObcPW`QPYQKWRETS8\ QT3OTB_YIjaPueOrgNpiNmjMklLhnLfoKcqKarL`pL`oM`nM`m\ N`lN`kO`jO`iO_gP_fP_eQ_dQ_cR_bR_aR_`STVTMQTFKU8FU1\ AX3C_5Eb7Ge9IhBKkDMnFOqHQsIRqKUoLWmNZkO`iQcgReeThc\ UjaWm_XomiVzvAts8nq7io6cl5Zj4Th3Of2Qd9RcFTaLU`RV_X\ XYbYXh_Vn`UtaTz_UxZUvYUtXUsVUqUUoTUmSUlUUlXVmZWmaY\ nd_ofaoibpkcpfdjaeeXf_TgVShUSiUSjUSkUSlUSmUSnUSoUS\ pUTqTSrUSsUStUSuUSvUSwUSxUSyUSzUSzUSzUSzUJzBKzDLzF\ MzGMzINzJOzLPzNPzOQzQRzRSzTBzSDzTFzTHzTIzTKzTMzUNz\ UPzURzUdzoczmbzlazkazj`zh } END PARAMETER FILE=========================================

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FOTD 21-07-04 (Spur [5])
by Jim Muth 21 Jul '04

21 Jul '04

FOTD -- July 20, 2004 (Rating 5) Fractal visionaries and enthusiasts: Today's FOTD is another one done in haste, and since nothing is richer than the Mandelbrot set, today's image takes us there. The area in question is the north shoreline of the bud centered at -1.38 on the X-axis, where I checked a narrow neck on one of the scepters and found today's scene. I named the image "Spur". That's the first thing I thought of when I saw it. I rated it at a 5, which is all I could do for an image that was found almost automatically. The render time of 41 minutes results in an overall value of 12. The most efficient way of seeing the scene is to give Paul a chance to render and post it, and then download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The events of the past few days, the details of which I will not go into at this time, have caused me to make a decision -- to move Fractal Central from its present location at the northeast corner of Baltimore, MD to some yet-to-be-determined location in Pennsylvania, far from spreading big-city problems. It is difficult and unfortunate to have to leave the city I have lived in for the better part of my life, but I have already postponed the inevitable far too long. I will follow my many acquaintan- ces who have departed over the past few years, and leave the fate of the city to the fools who are running it. The FOTD will continue; the business will lose some old customers and gain some new ones. A cool rainy day on Sunday, with a temperature of 68F 20C, kept the two fractal cats indoors. Partly cloudy skies and a temper- ature of 82F 28C on Monday gave them an enjoyable afternoon in the yard. Lots of sun and 88F 31C made Tuesday a bit too warm for outdoor romping, but the duo still enjoyed the shade. The happy cats gave me a chance to tighten the work gap, but much yet remains to be done. In 24, 48, 72 or 96 hours I will return with the next quickie FOTD. Until that golden moment arrives, take care, and be alert for fractals wandering aimlessly along the roads. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Spur { ; time=0:41:10.05--SF5 on a P200 reset=2003 type=mandel passes=1 center-mag=-1.3815\ 2846760399876652/0.017214269028907053722/1.308\ 728e+016 params=0/0 float=y maxiter=2400 bailout=9 inside=0 logmap=623 periodicity=10 colors=000NlXOkXOkXOjXOiXPhYPhYPgYPfYQeYQeYQdYQcYR\ bZRaZRaZR`ZS_ZSZZSZZSYZTX_TW_TW_TV_UU_UT_US_US_VR`\ VQ`VP`VP`WO`WN`WM`UK_VK`WK`XKaXKaYKbZLbZMc_Nc`Od`P\ daQebRecSfcTfdUgeVgeWhfXhgYigZih_ji`jiakjbkkclldll\ emmfmngnnhnoiopjopkpqlprmqsnqsortpruqsursvstwttwvu\ xwuxvvytvwrsuppsnnrlkpjhngfmdcka`i_ZgXWfUTdRRbPOaM\ L_JJ`GGaAB_CCZDDXEEWFFVGGTIHSJIRKJPLKOMLNOMLPNKQOJ\ RPHSQGURFVSDWTCXUBYV9_W8`X7aY5bZ4c_0eZ3d`5ca8cbAbc\ CadFaeH`gJ_hM_iOZjRZkTYlVXnYXo_WpaVqdVrfUsjQuiSthU\ tgUtgUsfUseUsdUrdUrcUrbUqaUqaUq`Up_UpZUpZUoYUoXUoQ\ UvVUwWUsXVoYWkYXgZYc_Z___W``SaaObbKbcGcdCde8df4cg6\ bi7aj9akA`lC_mD_nFZoGYpHXqJXrKWsMVtNVuPUvQZwS_xT`y\ UazWbzXczZdz_ezafzbgzdhzeizfjzhkzilzkmzloznqzoszou\ zpwzpxzpzzpzzqzzqzzqzzqzzqzzrzzrzzrzzrzzrzzszzszzs\ zzszztzztzztzztzztzzuzzuzzuzzuzzuzzvzzvzzvzzvzzwzz\ wzzwzzwzzwzzwzzwzzwzzwzzw } END PARAMETER FILE=========================================

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Multiple Boot for FractInt Users
by Paul N. Lee 21 Jul '04

21 Jul '04

Greetings, Here's something I just discovered which may be of interest to those wishing to have dual or multiple booting operating systems, especially those experiencing problems on Win-NT, 2K and XP environments. MasterBooter ------------ This boot manager lets you install and run up to six operating systems on a single PC. It comes with a powerful partitioning program. You can password-protect operating systems, hide and unhide FAT partitions for compatibility, set up a custom delay time, and more. This version adds internal Zip drive support. Version: 3.3 Price: Free trial ($20 to purchase) Download MasterBooter now at: http://pcwnl.pcworld.com/t/119319/8726782/515704/0/ Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

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FOTD coming on July 21
by Jim Muth 21 Jul '04

21 Jul '04

Old-timer fractal fans: (and new ones too) Due to the current rush, I am unable to post a FOTD for July 20. But the FOTD for July 21 will appear on schedule. (The FOTD is not the only thing suffering because of the rush. I just received a citation for having grass over the legal height of 8 inches.) Jim M.

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RE: FOTD coming on July 21
by Jim Muth 21 Jul '04

21 Jul '04

At 10:35 PM 7/20/04 +0100, Peter Moreland wrote: >Hell man... you are supposed to hide it [grass >over 8 inches tall] ROFL! It's not *that* kind of grass!! It's *lawn* grass! ;-) FOTD still coming on July 21. Jim M.

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multifractal pdf link
by David Lowenstein 19 Jul '04

19 Jul '04

http://www.fch.vutbr.cz/lectures/imagesci/download/en02_cesbud01.pdf here. -david Monofractals / Multifractals− Just a small group of fractals have one certain fractal dimension, which is scale invariant. These fractals are monofractals− The most of natural fractals have different fractal dimensions depending on the scale. They are composed of many fractals with the different fractal dimension. They are called „multifractals“− To characterise set of multifractals (e.g. set of the different coastlines) we do not have to establish all their fractal dimensions, it is enough to evaluate their fractal dimension at the same scale

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multifractal measure
by David Lowenstein 19 Jul '04

19 Jul '04

http://personales.unican.es/gutierjm/main/fractals.html found something interesting: multifractals! can this be implemented in fractint? I think a multifractal is an object composed of many different fractals at the same time! -david from the page: The term multifractal is applied when many fractal subsets with different scaling properties coexist simultaneously. In this sense, a measure defined on a fractal may have a multifractal character. The irregularity of this measure contains much information about the system that can be conveniently analyzed using multifractal theory. The main objective of the multifractal analysis of a measure m defined on a fractal set, S, is characterizing the dimensions and the structure associated with the sets S(a), as a function of the singularities a (for further information see, for example, (Falconer 1990)). where B(x,e) is the e-radio ball with centered at x. Each of the singularities a determine a subset of the fractal, S(a), with a characteristic scaling property which is given by the corresponding fractal dimension d(a). In the case of measures generated generated with the chaos game algorithm, it can be shown that all the singularities are of the form where x1+...+xn=1, being the associated dimension

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FOTD 18-07-04 (Not So Deep [6])
by Jim Muth 18 Jul '04

18 Jul '04

FOTD -- July 18, 2004 (Rating 6) Fractal visionaries and enthusiasts: There is no mistake. Today's image renders in 23 seconds. The scene is located in a spiral in the star of the order-13 radical on the south shore of East Valley of the Mandelbrot set. I named the image "Not So Deep" because it is not quite deep enough to require arbitrary precision math. I could just as easily have named it "String of Pearls" in recognition of the sinuous line of white pearl-like features surrounding the midget. I think the overall value of today's image, which is 1550, sets a new record. But most of this is due to the very short render time. The rating of a 6, which indicates an image just a little above average, is far more indicative of its worth. Because of its speed, I am currently concentrating on the M-set as a source of my FOTD images. When, if ever, I finally get the work caught up, I will return to the more exotic formulas (formulae for the over-educated) and the FOTD will return to its regular every-day schedule. Though today's image renders in less time than it takes a computer to boot up, it is available for instant download on Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The Friday and Saturday weather was uneventful here at Fractal Central. The fractal cats made the most of things by enjoying two long afternoons in the shade of the holly trees. But this morning it is raining, so the two good days will not be repeated a third time. For me, the work is still backed up, but it is not as far behind as it was a week ago. The end of the overtime might be in sight. The next FOTD will appear in a day or two. Until then, take care, and if you have the answer, look for the question. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Not_So_Deep { ; time=0:00:23.34--SF5 on a P200 reset=2003 type=mandel center-mag=+0.3018458048653\ 7830/-0.02174653406670350/1.911572e+012/1/-114.998\ 651994275107/-0.000232415073213483592 params=0/0 float=y maxiter=3200 bailout=9 inside=0 logmap=512 periodicity=10 mathtolerance=/1 colors=0004RF3QE3OD2NC2MB3LE3LG3KJ3KL6NJ9PIBRHEUGG\ WFJYEL`CObBQdATg9Vi8Yk7al5_m6Yn7Wn7Uo8Sp9Rp9PqANrB\ LrBJsCIsCJrEKqFLqGMpINoJOoKPnMQnNRmOSlQTlRUkSVjUWj\ VXiWXiXVfZUc`SaaRZcPXeOUfMShLPjJNkIKmCCmHInMNnQTnV\ Yn_bnzzzzzzzzzzzzzzzzzzE_vFZtGYsHYrIXpJWoKWnLVlMVk\ NUjOThPTgQSfRRdSRcTQbQFhUQaY_VajOgxIetHdpHclHbhHad\ G``G_XGZTGYPFXLFWHFWAGVEFVHEVKDVNCVQBVTAVW9VZ8Va7W\ bAXbCXcEYcGYdIZdKZeM_eO_fQ`fS`gUagWahYbh_ildbhaXeZ\ RbWK_UEXR8UO2RM3PO4NP4LQ5JR6IS6GT7EU8CW8AX99YA7ZA5\ _B3`C1aR0bC0bG5_KAYNEWRJTVNRcSPhXMe_KhcIlhFpkDqiBq\ iDngFmeHkaJiYLgUNeQPcMRaIT_EVYAXX6YcLSmZNwlHwzCmx6\ cv1Us4Mq7KoAImDGkGEhJCfMAdP8bS7`VCdZHhaMleRphWtl`x\ o_vp_tp_sp_qpZopZnpZlpZkpYipYgpYfpYdpXbp_apc_pcZpc\ YkcXgcXccW_cVWcVShUOmTKrTGwSCzR2zS8zSDzUIzZNzcSzcU\ zcXzcZzc`zcbzhdzmfzmhzmjzmlzrnzwpzzrzztzzvzzxzzpzz\ hzz`zzUzz`zzfzzlzzrzzmzzi } END PARAMETER FILE=========================================

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3 Types of Attractors
by mdoctorow＠comcast.net 16 Jul '04

16 Jul '04

>From Osher Doctorow mdoctorow(a)comcast.net I've introduced three probabilistic-statistics Attractor types in sci.stat.math, which readers can also access via Math Forum as keywords. As I mentioned last time, there is the type characterized by: 1) P(A-->B) = P(A), P(B/A) = P(A) where P(A-->B) = 1 + P(AB) - P(A) and P(B/A) = P(AB)/P(A) and where AB is the intersection of sets/events A, B. The slash / in P(AB)/P(A) is division if P(A) is not 0, but the slash in P(B/A) stands for "given", that is the prob- ability of B given A. P(A) is the probability of A. P(A-->B) is the Probable Influence of A on B. There are two other types, given fist by: 2) P(A-->B) > .95 and P(AB) > 0 3) P(A-->B) > .95 and P(AB) = 0 and their conditional probability analogs: 2') P(B/A) > .95 and P(AB) > 0 3') P(B/A) > .95 and P(AB) = 0 (impossible because P(B/A) = P(AB)/P(A)) By substituting for P(AB) into (2), (3), (2' ) it turns out that P(A) - P(AB) < .05 is equivalent to (2) and P(B) > .95P(A) is equivalent to (2'), while 3 is equiv- alent to P(A-->B) = 1 - P(A) > .95 or P(A) < .05 but in this last case only with the condition that P(AB) = 0. The second type, represented by (2) and/or (3), means that P(AB) is close to P(A), which turns out to mean that A and B intersect very highly (have very much in common) in the probability-statistics framework and that A is almost entirely inside B, that is A is almost entirely a subset of B. This could be designated as "A is an Internal Attractor of B", and makes intuitive sense. The third type says that A and B don't intersect, and is exemplified by equa- tion (3). Since A and B don't intersect, they have nothing in common, and so such Attractors can be called External Attractors - A is an External Attractor of B. An External Attractor could represent "action at a distance," where something influences something else without a physical connection or transmission from one to the other, or it could represent one alternative influencing another, or it could just represent two non-intersecting sets/events influencing each other or one representing the other. "Action at a distance" is difficult to confirm for physical events in our Universe, although theoretically it could occur in some alternative Universe or even in some "parallel universe" if those exist. Alternative choices influencing each other is an unusual concept. We usually think that if you can choose D or E, then D doesn't influence E or vice versa - only your choice influences anything, or D or E might be influenced by your choice, or conceivably D or E could affect your choice. But for D to affect E if they are completely alternative choices (like eating or not eating, or like buying 1 breads, 2 breads, or 3 breads) which exclude each other seems strange. Still, the fact that they exclude each other means that there is some type of influence going on - even if it is "exclusion" - although there is much research to be done in this area. Osher Doctorow

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FOTD 16-07-04 (First Light from Vega [7])
by Jim Muth 16 Jul '04

16 Jul '04

FOTD -- July 16, 2003 (Rating 7) Fractal visionaries and enthusiasts: Today's quickie image takes us to a midget on a filament of a larger midget lying on the x-axis of the Mandelbrot set. This larger midget is found just beyond the tip of the stem of the very large midget at -1,75. From a distance, the image reminds me of a star blazing brilliantly in the middle of a vast nothing- ness. I named it "First Light from Vega" accordingly. This star seemed appropriate, since it is bluish like the image, and passes directly overhead in the evening at this latitude at this time of year. Though the magnitude of the image demands arbitrary precision math, the magnitude lies just beyond the range of conventional math, and, aided by the x-axis symmetry, renders in only 5 minutes on my tired old P200 machine. I rated the image at a 7. Considering the less-than-three- minutes I spent on the coloring, the colors turned out surpris- ingly well. When the render time is figured in, the overall value rates 142. The most convenient way to see the image is to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The fun way is to run the included parameter file. A muggy Wednesday brought several light showers to F.C. -- just enough to wet the grass and keep the dynamic duo's paws damp. Thursday was near perfect, and the duo made the most of it. Today looks to be near perfect again. The question is whether I will make the most of it. The next FOTD will appear in 24, 48, or 72 hours. If I ever get my other business caught up, the FOTD will resume its regular daily appearance. Until next time, take care, and are positivists positive of their positivism? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FirstLightFromVega { ; time=0:04:54.78--SF5 on a P200 reset=2003 type=mandel passes=1 center-mag=-1.790327538975164063/0.0/1.365333e+014 params=0/0 float=y maxiter=1200 bailout=9 inside=0 logmap=127 symmetry=xaxis periodicity=10 colors=00070K80KA0KB0KC0KE0KF0KG1KI2KJ3KK4KJ5KI5KH\ 6JG6IF7HE7GD7FC8DB85A9A99F8AK7AP6AU9FZCKcFPhKUmP_r\ UewZkzgqzqwzzzzqxzhtzcpw_ltXhqXenXbjX`gT_hP_iLZkHZ\ lEZmGRsFTpEVmDXjCZgC`eBbbAc_9eX8gU8iS7kP6mM5oJ5pH3\ `T2Mm17o5UR8X3BZAEIHG1ON7QUDR`ISgOTmTUVLiCExGFvJGu\ MGtPHsSHrVIpYIo`JndKmgKljLjmLipMhsMgvNfyNepT`hYW`b\ RShMKmHCrC4w87wF9wLBwRDwXGwbIwhKwnMwtOwzQjqSZhYVeb\ RbhN_mJXrFUsEVtEWuEXvEYwDZxD_yD`zDazCbzCczCdzCdzDc\ zEbzFazG`zH_zIZzJYzKXzLWzMVzNUzOTzPSyQRwOQuNQsLPqK\ PoJOmHOkGNiENgDMeCMcALa9L_8LNg`MfcMefLdhLckKbnKapG\ osFloEjlDghDeeCbaB`ZAYWAWS9TP8RL7OI7MF8PH9SJ9VLAXN\ B_PBbRCdSCgUDjWElYEo_FraFtbEs`Er_DrZDqYDpWCpVCoUBo\ TBnRBmQAmPAlOAlNBmMCnMDoLEpLEqLHpKJqKLrJNsJQtJSuIU\ vIWwIZxH`yHbzGdzGgzGizFkzFmzFezEZzESzELzDEzD7zDCzA\ Gz8Kz6Oz4KzNGzeCzxGzrKzmOzhRzcSzcTzcUzcVzcWzcXzcXz\ cYzcZzc_zc`zcazcbzc_za5zJ } END PARAMETER FILE=========================================

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picking colors
by Kurt Yoder 16 Jul '04

16 Jul '04

Hello list I am having a bit of trouble adjusting xfractint's color selection. Can anyone offer some pointers and/or a link to a decent tutorial? Xfractint's built-in help is mystifying to me... Thanks

3 2

Missing 1600x1200 mode
by fracwood＠argonet.co.uk 15 Jul '04

15 Jul '04

I have this last week had to (yet again) reinstall Windows 98SE on my 1Ghz Athlon PC. Everything works fine except that Fractint can no longer run in 1600 x 1200 mode. My desktop runs 1600x1200 32 bit and I have been able to show that the 8bit and 16 bit modes also function at this resolution. The installation of Fractint is the one previously in use prior to the reinstallation of Windows and the fractint.cfg file for my Matrox G400 cardis is as below. Both 1600x1200 modes were prieviously usable. ; FRACTINT.CFG File ;key name of adapter/mode | AX | BX | CX | DX |mode| x | y |clr| comments ;=============================================================================== == F2 ,VESA Color Palette Mode ,4f02,100, 0, 0, 28, 640, 400, 256,VESA mode from OEM Matrox Graphics Inc. F3 ,VESA Color Palette Mode ,4f02,101, 0, 0, 28, 640, 480, 256,VESA mode from OEM Matrox Graphics Inc. F4 ,VESA Color Palette Mode ,4f02,103, 0, 0, 28, 800, 600, 256,VESA mode from OEM Matrox Graphics Inc. F5 ,VESA Color Palette Mode ,4f02,105, 0, 0, 28,1024, 768, 256,VESA mode from OEM Matrox Graphics Inc. F6 ,VESA Color Palette Mode ,4f02,107, 0, 0, 28,1280,1024, 256,VESA mode from OEM Matrox Graphics Inc. F7 ,VESA Color Palette Mode ,4f02,11C, 0, 0, 28,1600,1200, 256,VESA mode from OEM Matrox Graphics Inc. SF9 ,VESA Standard interface ,4f02, 107, 0, 0, 28,1280,1024,256,OK: Andy Fu - Chips&Tech SF8,Millennium VESA mode ,4f02, 11C, 0, 0, 28,1600,1200,256,OK: Sylvie Gallet AF6 ,Disk/RAM 'Video' , 3, 0, 0, 0, 11,6000,4000,256,For Background Fractals When I now run vesa2cfg.exe I get a QPV.cfg file witout any 1600x1200 entries. see below# QPV/386 / CDPEG configuration file # created by VESA2CFG on Tue 21-Jun-2011, 23:33:18 VESA BGR # perhaps RGB instead of BGR #'VESA local #"VESA configuration for "Matrox Graphics Inc." 320 200 16 40 $0d 0 640 480 16 80 $12 0 800 600 16 100 $4f02 $0102 320 200 256 320 $13 0 640 480 256 640 $4f02 $0101 800 600 256 800 $4f02 $0103 1024 768 256 1024 $4f02 $0105 1280 1024 256 1280 $4f02 $0107 640 480 32k 1280 $4f02 $0110 800 600 32k 1600 $4f02 $0113 1024 768 32k 2048 $4f02 $0116 1280 1024 32k 2560 $4f02 $0119 640 480 64k 1280 $4f02 $0111 800 600 64k 1600 $4f02 $0114 1024 768 64k 2048 $4f02 $0117 1280 1024 64k 2560 $4f02 $011a 640 480 16m 2560 $4f02 $0112 R 800 600 16m 3200 $4f02 $0115 R 1024 768 16m 4096 $4f02 $0118 R 1280 1024 16m 5120 $4f02 $011b R Fractint runs in all 256 colour modes except the 1600x1200 mode. Attempts to remake the fractint cfg file using Makecfg.exe now stall with an error"Reading your VESA VIEO BIOS... Int 0x10 ,ax=0x4F01 failed : ax=0xAF4F" Working on a new 3.2Ghz Athlon PC under XP home with a Radeon 9200SE (128MB) card I am also only able to use upto and including 1280 X1024 modes . The QPV file does not have any entries above 1280 x1024 and yet this card supports upto 2048 pixel graphics .Similarly the .cfg file resulting from running Makefcfg.exe does not contain entries above 1280x1024. Appended is my Stools.ini file for the G400 use. [fractint] textsafe=save video=F6 float=yes map=neon Vesadetect=no Sound=off I would like to be able again to use 1600x1200 modes and so I would welcome any advice on how to restore this facility on the two PCs. Ian Entwistle --

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FOTD 14-07-04 (Deep Mandelbrot-1 [7])
by Jim Muth 14 Jul '04

14 Jul '04

FOTD -- July 14, 2004 (Rating 7) Fractal visionaries and enthusiasts: With the rush still on here at F.C., I had to find a fractal without delay. For my fractal, I turned to the richest fractal in existence -- the Mandelbrot set -- and ventured far out on the main stem. I checked a filament on the east shore line of a tiny midget on the stem, and found an even tinier midget there. I let the image render on my old fractal computer while I tended to other tasks on another machine. Well beyond the range of conventional math, the image takes well over one hour to render, but the result is unusual enough to make the wait worth the effort. The wait can be avoided entirely by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the completed image from there. The name of the image, "Deep Mandelbrot-1", implies that there may be more such images in the near future. The rating of a 7 is raised to an overall value of a 9 when the render time is considered. Tuesday here at Fractal Central was cloudy and muggy but dry. The dynamic cats found enough time in the yard to keep them happy. Today is starting cloudy and muggier, with thunder- storms forecast. It remains to be seen how the cats will adjust. For me, it looks like another busy day. Until next FOTD, take care, and be alert for lost fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deep_Mandelbrot-1 { ; time=1:19:21.33--SF5 on a P200 reset=2003 type=mandel passes=1 center-mag=-1.9990\ 9562610837643202295/-4.587846843575e-11/1.815391e+\ 019 params=0/0 float=y maxiter=7500 bailout=4 inside=0 symmetry=none periodicity=10 colors=0005IQAFSFCUK9WI8SBCEG7PE6LC5IA4F83B628_HeW\ F`SDWOBSK9NG7IC5E839qnFjfDc_CXTAQM9JF7C867mp6dh6X`\ 6PT5HL59D8XP7QL6KH6DD579B8y96m85b73R62GYAKS8HM6EG4\ BA28nWZbORSGKG8CkQDeMC`JBVGAQD9LA8F77A46BGgADa9BW8\ 9R77L65G53A6Td5JT5AHrH6hD5ZA5P75F45c1vcPeZL_UIVPEQ\ KBKF7FA4AmKuaFgRAVG5Iw4co3Zg3U_2PS2KK1FC1AbGURBLG6\ D25O43EjkfQOO`NsQFbF8Mr6Uh5PZ4KP3FF2A72k61`61Q51Fs\ Z8UI6xUxlOlaIaRCRG6GizDboBWeAPW9IL7BB6nY6bP5SH5G95\ he7aZ6VS6PL6IE5B75txKbdFMLAaBUX9QS8MN6JJ5FE3C928zl\ vpdmfXdYPWOHNE9EFXrDRiBMaAHU8BL66DeyYTdOHLEoASh8Oa\ 7LV6IP4EI3BB28XDsRAhL8ZG5PA3FoTwrfGaTCLF8XyYSnTNdO\ JVJELE9B902_668557547536536525515J`0XdMQVHJLDCB9fS\ R`ONWKKQGHLCEF8BA48ogGg_E_TCSMAKF8C86tw9mo8gh8``7V\ U7ON6IF6B85CVTAPO9JJ7DE679L5dI4ZF3TD3NA2H71BgV6VL5\ IB5W8eS7_O6VK5QG4KC3F82ANZKHNFBCA9O27C4KBJhObkNcnM\ dhldchbZd`U`ZPXXKTVFPTALR } END PARAMETER FILE=========================================

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Re: [Fractint] XP and Fractint
by gnome＠hawaii.rr.com 14 Jul '04

14 Jul '04

See - Windows XP is STILL just a GUI running on top of DOS! ;-) David gnome(a)hawaii.rr.com ----- Original Message ----- From: Jonathan Osuch <osuchj(a)avalon.net> Date: Thursday, June 17, 2004 8:20 am Subject: [Fractint] XP and Fractint > Here is something to try with XP that works on my system: > > During windows startup press <F8> to bring up the menu selections. > Select "Safe Mode with Command Prompt". > Change (cd) to your Fractint directory and run Fractint. > When done, exit Fractint and type logoff to return to the logon > prompt.You will need to restart the computer from here to get back > to the normal XP > environment. > > Jonathan

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FOTD 13-07-04 (Motley Mandeloids [4])
by Jim Muth 13 Jul '04

13 Jul '04

FOTD -- July 13, 2004 (Rating 4) Fractal visionaries and enthusiasts: It's another busy day here at F.C., with four customers clamoring for attention, so the discussion will be brief. Today's scene is something that I found a few weeks ago. But when I found it, I decided that it failed to meet FOTD standards. The scene lies in the Mandeloid fractal that results when Z^1.5 is subtracted from Z^(-0.2) and (1/C) is added. The image is not much in the way of fractal art, but it is one of the most unusual collections of Mandel things in one concentra- ted area that I have yet stumbled upon. Such a motley crew of Mandeloids is rarely seen. When I saw today's image, I could not resist the temptation to name it "Motley Mandeloids". I rated it at a 4. It's near total lack of artistic merit precludes anything higher. The render time of 46 minutes, at least on my tired old clunker, helps none at all, and actually holds the overall value, which can rate as high as 1000, to a meager 9. The favored way to see the image will almost certainly be to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The fractal cats were not very happy with Monday's weather here at Fractal Central. Though the flooding rain stayed just to the northeast, the frequent heavy showers during the day kept things thoroughly wet down. And the temperature of 84F 29C and oppres- sive humidity made things equally uncomfortable for humans. Today is starting cloudy and muggy. It could be a repeat. If I find time, the next FOTD will appear in 24 hours. If not, it could be 48 or 72 hours. Until whenever, take care, and watch to see what develops. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Motley_Mandeloids { ; time=0:45:58.08--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=t center-mag=-0.6806213875813651/+0.1253195549246482\ /890.3401/1/-140/-7.37500338576779768e-013 params=1/-0.2/-1/1.5/0/0 float=y maxiter=15000 inside=0 logmap=54 periodicity=10 colors=000oQXpPbpPgqOlsMprNqqOqpOqoPqoPqnQqmQqlRqk\ RqkSqjSqiTrhTrgUrgUrfVreVrdWrcWrcXrbXraYr`Yr_Zs_Zs\ Z_sY_sX`sW`sWasVasUbsTbsScsScsTbqUboUbnValVajWaiWa\ gX`eX`dY`bY`aZ__Z_Y__X__V`ZT`ZSaZQb`1b`DaZP`T`ZNl_\ Ok_Pj_Qi`Rh`Rg`SfaTeaUdaVcbVbbWabX`cY_cZZcZZc_Yd`X\ daWdbVebUecTedSfeRffQffPggOghNgiMjhLhiMgiMfiMeiMdi\ McjMajN`jN_jNZjNYkNXkNVkOUkOTkOSlORlOQlOOlPNlPMmPL\ mPKmPJmPHmQGnQFnQEnQDnQBpQAqPCnQDlREjSFhTHfUIdVJbW\ K`WLZXNXYOVZPS_QQ`SOaTMbUKbVIcWGdYEeZCf_Ag`8hZ3jX5\ ma6hf7ck9_pAVuBQwBOyCMwFPuIRtLUrOWpRYoU`mXbk_djbgh\ eifhkekncnpessbqr`orZmqXkqUipSgpQeoOcoJZvMaoOdiQgc\ SjYUmSUpOWpMXpLZpK_pIapHbpGdpFepDgpChpBjp9kp8mp7mr\ 7nq6np6no6no5nn5nm5nl4nl4nk4nj3ni3ni3nh2ng2qe1of2n\ g2mg3lh3kh3ji4ii4hj5fk5ek5dl6cl6bm6am7`n7_n8Zo8Xp8\ Wp9Vq9UqATrASrARsBQsBOtBNuCMuCLvDKvDJwDIwEHxEFzCGz\ EHzFHzGIzHJzIJzKnzInzNozS } 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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Re: [Fractint] Ancient Par Files.
by Peter Moreland 12 Jul '04

12 Jul '04

Hello again Gents, I see nothing has changed in the fractal world over the last ten years.. Everyone is as willing to help as ever, now I remember why I enjoyed the collaborations so much! Tim: >>Don't you have a Fractal Creations 2nd Edition CD? Yes I do, but for some reason I cant get some of the images to reproduce, for example 'Meta Cold' doesn't display the correct co-ordinates. rather than a full screen deep zoom I get a tiny sphere at the middle of the image. Ron: >> I also have over 300 PAR files, mostly "ancient" stuff, including pete-1.par Hello Ron. I am sure I remember you from shoes old days ;-) I have Pete-1.par but would love to see the rest of your par collection if you don't mind sending them to me? Paul: >>I have a few of your PAR files. I reckon I have most of those but I think you may have found one or two for me ;-) I will go through the list and let you know, is that ok? Ron: >>There is an extensive collection of Fractint PAR files in the UltraFractal Library. Have your checked there? Bloody Hell Ron! (forgive the swearing I am a Brit) Have you been at this for the last ten years with no break?... I am not worthy etc. I found the Ultra Fractal site but not the library, can you give me a URL link for it please? WOW.. I just looked at some of the features for Ultra Fractal (never heard of it before). So what is the story? What are the pros and cons compared to fractint? As I said forgive the ignorance, having been out of the loop for a decade I need you guys to help me catch up! All the best Peter

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Re: [Fractint] FOTD, 17-12-99 (Merlin the Magician)
by Paul N. Lee 11 Jul '04

11 Jul '04

Jim Muth wrote: > > FOTD -- December 17, 1999 > > MerlinTheMagician { ; time=0:10:38.00 on a p200, SF5 > reset=2000 type=formula formulafile=critical.frm > formulaname=MandelbrotMix4 function=ident passes=1 > center-mag=+2.50921249705071/-0.5099563476714958/2.5\ > 02054e+010/1/50.001 params=0.14/3/-2.11/-1/0/0 > float=y maxiter=6000 bailout=25 inside=0 logmap=204 > symmetry=none periodicity=10 > Well, here is one of Jim's images that seems to have become fairly popular on EBay over the past few weeks. One of the Users has taken it for his logo: http://stores.ebay.com/3gscollectibles?ssPageName=VIStoreHeaderLogo And seems to be using it for every item they have been selling recently. Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

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Re: Probable Influence Equation of an Attractor
by mdoctorow＠comcast.net 11 Jul '04

11 Jul '04

>From Osher Doctorow Ph.D. mdoctorow(a)comcast.net For readers who want to know what happens when P(A-->B) = P(A) or P(B), equation P(A-->B) = P(B) when expanded using the rules of probability theory is equivalent to 1 - P(A) + P(AB) = P(B), or in other words P(B) + P(A) - P(AB) = 1. The equation P(A-->B) = P(A) when expanded is equivalent to 1 - P(A) + P(AB) = P(A), or in other words 1 + P(AB) = 2P(A). Notice that P(A-->B) = 1 + P(AB) - P(A) is easy to derive from the definition P(A-->B) = P(A' U B) and the laws of probability which say: 1) P(A U B) = P(A) + P(B) - P(AB) 2) P(A' ) = 1 - P(A) where A' or "not A" (technically the "complement" of A) is the part of the Universe outside A. Then we get P(A-->B) = P(A' U B) = P(A') + P(B) - P(A' B) = 1 - P(A) + P(B) - P(A' B), and we can show that P(B) - P(A' B) = P(AB) because from (1) when A and B do not intersect, that is P(AB) is 0, we get P(A U B) = P(A) + P(B), and so P(B) = P(AB) + P(A' B) since AB and A' B don't intersect. There is a more complicated definition of A-->B than A' U B, namely A-->B = (AB' )', the complement of the intersection of A and the complement of B, but from the laws of set theory this reduces to A' U B. Osher Doctorow

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Probable Influence Equation of an Attractor
by mdoctorow＠comcast.net 11 Jul '04

11 Jul '04

>From Osher Doctorow Ph.D. mdoctorow(a)comcast.net I recently proved on sci.stat.math that the equation of an Attractor using Probable Influence is: 1) P(A-->B) = P(A) where P(A) is the probability of the attractor (A) and A-->B, the influence of A on B, turns out to be A' U B which is roughly speaking "either 'not A' or B," or for those who know about set theory complements, "the union of the complement of A and/or B." P(A-->B) is called the Probable Influence (PI) of A on B. Intuitively, equation (1) means that A gives "all its influence to B", or in a slightly different way of expressing it, the result of the (probable) influence of A on B is just the probability of A. This means roughly that all that is left from the influence of A on B is A itself - as we expect if A is an attractor, in a sense. This is the first time to my knowledge that probability-statistics has been related to dynamical systems/chaos/fractals in regard to an Attractor, and where there's an equation, numerical analysis and approximations will eventually be close behind. This is a good opportunity to show readers that the mathematics has a remarkable intuitive quality, by giving an example "opposite" to an Attractor, namely where the influence of some event/set/process A on B has no effect on B. This is "independence" of A and B, and there are two equations, depending on whether one is using Mainstream (Bayesian) Conditional Probability-Statistics (BCP) or PI. Using PI, the equation is: 2) P(A-->B) = P(B) In BCP, P(B/A) means "the probability of B given A," that is to say given the fact that A has occurred or given that A is fixed or constant, and the result is: 3) P(B/A) = P(B) (if P(A) is not 0) which, since P(B/A) turns out to be P(AB) divided by P(A), where AB is the event that both A and B occur simultaneously (together), (3) is equivalent to the usual expression: 4) P(AB) = P(A)P(B) for what is called "statistically independent events," such as tossing two fair coins simultaneously without one coin interfering with the other and without the tossing being such as to affect one coin more than the other. Whether we use "statistical independence" as in (3) or (4), or PI-independence as in (2), readers can see that P(A-->B) = P(A) is the opposite of P(A-->B) = P(B) in an intuitive sense, just as we would expect "independent" events to be the opposite of "enormously affected events" where the latter occurs for an Attractor. Likewise, P(B/A) = P(A) is the opposite of P(B/A) = P(B), and instead of leading to P(AB) = P(A)P(B) as for the latter, the former leads to P(AB) = P(A)^2 where ^2 means "squared", that is to say P(A)^2 is P(A) times P(A). Osher Doctorow

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FOTD 10-07-04 (Iterative Insanity, corrected version [5])
by Jim Muth 10 Jul '04

10 Jul '04

FOTD -- July 10, 2004 (Rating 5) Fractal visionaries and enthusiasts: (This corrected version replaces a backslash that was inadvertently omitted from the first version, and caused an error message to appear when the parameter file was run.) Today's image is pure insanity. Never have I seen such a motley collection of fractal possibilities with so little organization. There are diamonds, spirals, shapeless fragments, and almost any- thing one could imagine scattered through the image. The name "Iterative Insanity" seems quite appropriate for such chaos. The parent fractal is the same Z^1.26+C Mandeloid of the past two FOTD's. To find today's image I went to the north branch of the most prominent valley of the parent, and dove down to a magnitude of a modest 1800. The 47-minute render time is a result of the unusually high iteration count of the elements of the image. Unable to decide whether I liked the image, I rated it at an average 5, which gives an overall value of 11 when adjusted for the render time. The most convenient way to see the scene is to download the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Near perfect weather both Thursday and Friday made for contented cats. With a repeat forecast for today, I expect more content- ment. I also expect to be working most of the day. So until next FOTD, take care, and when you have taken enough care, stop to have a little fun. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Iterative_Insanity { ; time=0:47:12.01--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.46559005566451/+0.6125030496022825/1\ 802.776 params=1.26/0/-70/100 float=y maxiter=25000 inside=0 logmap=260 periodicity=10 colors=000kHjjIjiJjhKjgQjfWjeajdgjcmjbnjboiapi`qi_\ riZsiYtiXuiWviVwiUxiUyiWwjXvjZuj_tj`rjbqjcpkdokfmk\ glkhkkjjkkhklglnfloelpclrblsalt`lsairbgqceqdcpeaof\ _ngYnhWmhUliSljQkkOjlMimKinIhoGgpEgpChmDhkDhiEifEi\ dEibFj_FjYFjWGkTGkRHkPHlMHlKIlIIlGIhEPdCV`BaX9gT8n\ P6tM5zP9yRCyTFyWIyYLx_OxbSxdVxfYwi`wkcwmfwoiwkdog`\ hdXa`SUXONUKGdIDoGAyE8wDAvCBuCDtBEsBFrAHpAIo9Kn9Lm\ 8Ml7Ok7Pi6Rh6Sg5Tf5Ve4Wd4XbBS`IOZPKXWFVbBTh7biAmjD\ mkGrlJemMYnPZoSZpV_qY`r``scatfbuicvlcwodxrejfezwZv\ rTrmNnhHjcBg_DeZEdYFcXHbWI`WJ_VKZUMYTNWTOVSQURRTQS\ RQTQPVPOWONXMNZLM_KL`JKaIKbHMcGNdGPeFQfFRfETgEUhDV\ iCXjCYjB_kB`lAamAcn9dn9eo8eo8eo8eo8eo8eo8do8do8do8\ do8do8do8do8co8co8co8cp7cp7cp7cq7br7bs7bt7bu7bv7bw\ 7bx7ax7ay7ay7bz7ez7hz7kz8nz8qzKtzNwzQzzSzzUzzWzzYz\ z_zzazzczzczzczzczzczzczzczzczzczzczzczzczzczzczzc\ zzczzczzczzczzczzczzczzcz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(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 10-07-04 (Iterative Insanity [5])
by Jim Muth 10 Jul '04

10 Jul '04

FOTD -- July 10, 2004 (Rating 5) Fractal visionaries and enthusiasts: Today's image is pure insanity. Never have I seen such a motley collection of fractal possibilities with so little organization. There are diamonds, spirals, shapeless fragments, and almost any- thing one could imagine scattered through the image. The name "Iterative Insanity" seems quite appropriate for such chaos. The parent fractal is the same Z^1.26+C Mandeloid of the past two FOTD's. To find today's image I went to the north branch of the most prominent valley of the parent, and dove down to a magnitude of a modest 1800. The 47-minute render time is a result of the unusually high iteration count of the elements of the image. Unable to decide whether I liked the image, I rated it at an average 5, which gives an overall value of 11 when adjusted for the render time. The most convenient way to see the scene is to download the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Near perfect weather both Thursday and Friday made for contented cats. With a repeat forecast for today, I expect more content- ment. I also expect to be working most of the day. So until next FOTD, take care, and when you have taken enough care, stop to have a little fun. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Iterative_Insanity { ; time=0:47:12.01--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.46559005566451/+0.6125030496022825/1 802.776 params=1.26/0/-70/100 float=y maxiter=25000 inside=0 logmap=260 periodicity=10 colors=000kHjjIjiJjhKjgQjfWjeajdgjcmjbnjboiapi`qi_\ riZsiYtiXuiWviVwiUxiUyiWwjXvjZuj_tj`rjbqjcpkdokfmk\ glkhkkjjkkhklglnfloelpclrblsalt`lsairbgqceqdcpeaof\ _ngYnhWmhUliSljQkkOjlMimKinIhoGgpEgpChmDhkDhiEifEi\ dEibFj_FjYFjWGkTGkRHkPHlMHlKIlIIlGIhEPdCV`BaX9gT8n\ P6tM5zP9yRCyTFyWIyYLx_OxbSxdVxfYwi`wkcwmfwoiwkdog`\ hdXa`SUXONUKGdIDoGAyE8wDAvCBuCDtBEsBFrAHpAIo9Kn9Lm\ 8Ml7Ok7Pi6Rh6Sg5Tf5Ve4Wd4XbBS`IOZPKXWFVbBTh7biAmjD\ mkGrlJemMYnPZoSZpV_qY`r``scatfbuicvlcwodxrejfezwZv\ rTrmNnhHjcBg_DeZEdYFcXHbWI`WJ_VKZUMYTNWTOVSQURRTQS\ RQTQPVPOWONXMNZLM_KL`JKaIKbHMcGNdGPeFQfFRfETgEUhDV\ iCXjCYjB_kB`lAamAcn9dn9eo8eo8eo8eo8eo8eo8do8do8do8\ do8do8do8do8co8co8co8cp7cp7cp7cq7br7bs7bt7bu7bv7bw\ 7bx7ax7ay7ay7bz7ez7hz7kz8nz8qzKtzNwzQzzSzzUzzWzzYz\ z_zzazzczzczzczzczzczzczzczzczzczzczzczzczzczzczzc\ zzczzczzczzczzczzczzczzcz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(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] The Hefty Edition of FracTint (Advanced Paint ByNumber)
by Jim Muth 09 Jul '04

09 Jul '04

SherLok Merfy wrote: >> ....Jim Muth might offer his parameter files >> compressed to consume less than three meg. Paul Lee replied: >Those are already compiled and ready to use with Jim's permission: > http://www.les.stclair.btinternet.co.uk/fractals/pars.htm >Along with the expanded ORGFORM of FractInt formulae: > http://home.att.net/~Paul.N.Lee/OrgForm.html Permission to include the FOTD discussions and parameter files is granted. The CD that for several years I have been promising to release, containing all the FOTD discussions and images, now looks like it will never happen. I am simply too busy to give the project the effort it requires. Good luck with the project. Next FOTD on July 10. Jim M.

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