February 2003 - Fractint - mailman.xmission.com

FOTD 17-02-03 (Theme and Variations [5])
by Jim Muth 17 Feb '03

17 Feb '03

FOTD -- February 17, 2003 (Rating 4) Fractal visionaries and enthusiasts: I enjoy shoveling snow, but this is ridiculous. Once again, due to an immense quantity of snow that must be moved, the discussion will be very brief. Today's hastily achieved fractal can rate only a 4, but that is only a little below average. The parent fractal, whose formula is Z^1.19+C, resembles a double-lobed lake, with an immense filament extending to the SW, far beyond the borders of the default screen, which BTW has a magnitude of 2/3. Today's scene is located near the tip of this curved filament. I have no idea how I found the mis-shapen minibrot on this totally chaotic filament. I guess I have developed a fractal sixth sense, or more accurately a seventh sense, since I already have precognition. (No, I cannot turn it on at will.) The name, "Theme and Variations", was inspired by the melange of incongruous features that make up the image. Then again, perhaps I should have named the image simply "Variations", since there is no single theme that unifies it. The parameter file runs in 8 minutes. The completed GIF image is available for download on the W.W.Web at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Heavy snow fell all day Sunday here at Fractal Central. This, plus the temperature of 14F -10C, swept all thoughts of the outdoors from the minds of the fractal duo, who spent the day sleeping where it was warm. This morning the snow is still falling. Since the snow on the ground is about three times as deep as the cats are tall, they had best resign themselves to a long confinement. As for me, I've got a lot of shoveling to do, and there is no time like the present to get started. Until tomorrow's FOTD, take care, and, if I get myself dug out of the snow drift, see you then. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ ThemeAndVariations { ; time=0:08:14.44--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=-2.64441871745242100/-7.096189677868118\ 00/8.730126e+008/1/2.5/-1.66441295210220663e-005 params=1.19/0/18.6/0 float=y maxiter=12000 inside=0 logmap=118 periodicity=10 colors=000IHFOLIUOL_SOeWRkZUbHXU0ZX9XZHWdRNj`Epi50\ kK7fIDbGKZFQUDXQCbMAiH9oD7u96pCDkFJgIPbLVZNaUQgQTm\ LWsHYyIWwJVuKTsKSqLQoMPmMNkNMiOLgOJePIcQGaQF_RDYSC\ WSBUVATYAT`ATbASeASh9Sk9Sm9Rp9Rs9Ru9RvBSvDTwFUwHVx\ JWxLXyNYyPZzR_zS`n_bcfcTmeItfZefoSfrVVtXJvZ8qY9lYA\ hYAcYB_YCVYCRXDMXDIXEDXF9XF4XG0XG2ZJ4_M6`P8aRAbUBc\ XDdZFeaHfdJgfKhiMilOjnQkqSltTmvXnt_nrbopeoohpmkpkn\ qiqqhtrfwrdzrcwpaun`sl_qjZohXmfWjdVhbUf`SdZRbXQ`VP\ WNIZTO`ZTbdYeibgogiulkzqjsnimlhfih`ggUefObeH`eBZcA\ XaAV_9TY9RW8PU8NS8LQ7JO7HM6FK6DI5BG59E58H7GJ9NMBVO\ CaMOdLZfKiiJtkPmlUgmZ`ncVnhPomIprCqw6qs7pp8om8ni9m\ f9mcAl`AkXBjUCiRCiNDhKDgHEfEEfHIgJLgLOgNRgPUgRYhT`\ hVchXfhZihamf`lh_kiZjjYjkXilWhmVgoUgpTfqSerRdsOfyQ\ dtSboU`kWZfYYb_WYaUTcSPeQKqV9gPGYKNPFTFA_65eB8fFAf\ JCfOEgSGgWIg`LhdNhhPhmRiqTiuVisWgrWfqWeoXdnXcmXakY\ `jY_iYZgZYfZWeZVc_Ub_Tc`T } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END 20.0 PAR-FORMULA FILE==================================

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Re: [Fractint] Re: FOTD 14-02-03 (Beach and Cliffs [6])
by Jim Muth 16 Feb '03

16 Feb '03

At 11:30 AM 2/14/03 -0600, Paul Lee wrote: >If you would send me the image you created, then I >will put that on the web site, instead of the FractInt >version which I generated without your colorings. The version generated by the parameter file *IS* the altered image. When I alter an image in a separate program, I make only color changes, which I then save as a GIF file, load into Fractint and encode into a normal parameter file. (FOTD-CD ordering info to come shortly) Jim M.

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FOTD 16-02-03 (Stringing Along [5])
by Jim Muth 16 Feb '03

16 Feb '03

FOTD -- February 16, 2003 (Rating 5) Fractal visionaries and enthusiasts: The discussion will need to be short. We have a blizzard in progress here at Fractal Central, and I must frequently go out and work to keep things from getting hopelessly buried. Today's fractal is named "Stringing Along". I gave it this name when I noticed its resemblance to strings of something bright and shiny. The parent fractal resembles a vertically stacked pile of bays, with a stray Mandeloid bud in the lower left corner of the bottom bay. Today's scene is located in a spiral near the tip of the filament extending from this bud. The rating of an average five might have been a point or two higher if I had had the time to find the best color palette. But even as imperfect as it is, the image is worth the 7 minutes required to render it from the parameter file. An even faster way of seeing the bright shiny strings is to download the finished GIF image from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> We ended up with 3-inches 8cm of new snow here at Fractal Central on Saturday. Combined with a temperature of 27F -3C, the snow kept the fractal cats snug by the heat. This morning is starting with a temperature of 12F -11C and heavy snow accom- panied by lightning and thunder -- everything the duo dislike. The forecast is for up to 3-feet 90cm (that is no mistake) more snow by Monday, with high winds to blow it around. I fear the fractal cats will be unhappy to hear this, but for me it means a break in the design work, with lots of time between bouts of shoveling for sitting by my window, watching the snow and fractaling. Until next FOTD, take care, and I guess I'll be shoveling off. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Stringing_Along { ; time=0:07:00.10--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.82203006880817/-0.85536665031521/6.2\ 94961e+007/1/37.5/3.29673691283616e-007 params=-5/\ -1.5596104695/-0.5/-15.596104695/0/0 maxiter=1200 float=y inside=0 logmap=120 periodicity=10 colors=0000000000000000000000000000000000000000000\ 00030030110300400600903B04C06E09G0BH0CJ0EK0HM0JO0K\ P0MR0KU0JV0HX0GX0EY0E_3Ca4Ba69c97dB7fC6hG4hH3iJ1kM\ 0mO0mP0oU0pV0rX0rY0pV0oU0oR0mP0mO0kM0kK0iJ0iH0hG0f\ E0fC0dB0d90c70c60a40a30d60f71hB4iC7mGBoHEpJJrMMtOP\ xRUzUXzX_zYdz_hzckzdozhrzivzizzkzzmvzorzpozpkzrhzt\ dzvazvYzxVzzRzzOzzKzzHzzEzzBzz7zzBzzEzzGzzJzzKzzOx\ zPvzUrzVpzYoz_kzcizffzhdzkczm_zpYzrXzvUzxRzzPzzOzx\ MzrMzoKziJzfJzaHzYHzUGzOEzKEzGCzCBz7Bz49z09z07z07z\ 06z16z34z44z63z73z71z91zB0zC0zE0zG0zH0zJ0zJ0zK0zM0\ zO0zP0zR0zU0zR0zU0zV0zX0zY3zY4z_7xaBxcCvdGvdJtfKth\ OriRriUpkXpm_ooaopdmphmriktmkvokvpixpixrhzrhzrhztf\ ztfztdzvdzvdzvczxczxazxazzazz_zz_zzYzzYzzYzzXzzVzz\ UzzRzzPzzPzzPzzPzzPzzPzzPzzPzzPzzPzzPzzPzzPzzPzzPz\ zPzzPzzPzzPzzPzzPzzPzzPzzPzzPzzPzzPzzPzzPzzPzzPzzP\ zzPzzPzzPzzPzzPzzPzzPzzPz } 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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Thanks 4 your help. I'm still getting a sold blue screen.
by Harold Lane 16 Feb '03

16 Feb '03

Thanks for your responses to: >Anyone - in JackOTradez's posting to this forum on >Sun, 9 Feb 2003 he includes a set of parameters and >the formula it refers to. >When I use these I get a solid blue screen. I'm still getting a sold blue screen. Things I have tried unsuccessfully follow: To invoke the .par file, which I have named '6ml08402.par', I hit the '@' key and choose the '6ml08402.par' file and then select the '6ml08402' parameter set (the only one in the file). 1) I tried putting both the par and the formula into the same par file, as suggested. I put the formula 2nd and inserted 'frm:' in front of the formula name. I changed the formula name in the formula from 'MMix4-lake-0084' to 'mmix4-lake-0084' to have the case of the letters in the name match those in the parameter file. The <Tab> screen shows the 'Item file:' as the '6ml08402.par' file. I have found that a file with the name 'mmix_lak.frm' must *not* exist for the formula to be read from the .par file. 2) I have tried placing the formula file in a file named 'mmix_lak.frm' and changing the formula name in the formula from 'MMix4-lake-0084' to 'mmix4-lake-0084' to have the case of the letters in the name match those in the parameter file and *NOT* inserting 'frm:' in front of the formula name. The <Tab> screen shows the 'Item file:' as the 'mmix_lak.frm' file. 3) I have tried placing the formula file in a file named 'mmix_lak.frm' and changing the formula name in the formula from 'MMix4-lake-0084' to 'mmix4-lake-0084' and *inserting* 'frm:' in front of the formula name. I removed the formula definition from the .par file. In this situation I get error messages (which makes sense): 'mmix4-lake-0084' file entry item not found Any key to continue... Could not open file where formula located Any key to continue... Apparently you must *not* have 'frm:' in front of a formula name in a formula file. Note that when no matching formula was found the calculated image was the still the solid blue one! I suspect that this is an important clue (to someone - not me). 4) I have also tried using Robin's Fractint Paste & Go V1.3 utility, changing the name of the formulafile= in the par text window to 'formulafile=pastengo.frm' and changing the formula name in the formula text window from 'MMix4-lake-0084' to 'mmix4-lake-0084' with *no* 'frm:' inserted in front of the formula name. The <Tab> screen shows the 'Item file:' as the 'pastengo.frm' file. The contents of the 'pastengo.par' and 'pastengo.frm' files contain faithful copies of the text I put into the utility's two windows. 5) I have also tried using Robin's Fractint Paste & Go utility, putting *both* the par and the formula info (par 1st) into the par window & removing the 'formulafile=mmix_lak.frm' in the par text window and changing the formula name in the text window from 'MMix4-lake-0084' to 'mmix4-lake-0084' with 'frm:' inserted in front of the formula name. Debug mode of the Paste & Go utility shows 'fractint.exe @pastengo.par/6ml08402' as the command issued. Manually issuing this command in the Fractint directory also creates the blue screen. The <Tab> screen shows the 'Item file:' as the 'pastengo.par' file. The contents of the 'pastengo.par' file contains a faithful copy of the text I put into the utility's parameter window. All five of these methods give a sold blue screen. I am using Fractint V 20.0 (which matches the 'reset=2000' in the .par file) under Windows 98 (orig ed.) on a vanilla Gateway PII 400MHz machine. My SSTOOLS.INI follows: [fractint] textsafe=save sound=off video=SF7 map=goodega.map After creating a blue screen the <Tab> screen is as follows: ########################################## Fractal type: formula Image completed Item name: mmix4-lake-0084 ident Item file: pastengo.par Floating-point flag is activated Savename: fract001 Calculation time: 0:00:18.12 Video: 1024x768x256 SuperVGA/VESA Autodetect Works with most SuperVGA Corners: X Y Top-l -27.3550000223599900 0.1139646348533431 Bot-r -27.5269999776400100 -0.1153686388533431 Bot-l -27.5269999776400100 0.1139646348533431 Ctr-27.4410000000000000 -0.0007020020000000 Mag 1.16279100e+001 X-Mag-Factor 1.0000 Rotation 90.000 Skew -0.000 3: 33.330000000 4: 0.0000 5: 0.200000000 6: 300.000000000 Iteration maximum: 2500 Effective bailout: 25.000000 Press any key to continue, F6 for area, CTRL-TAB for next page ######################################### As a reality check, my copy of Fractint was able to render the Feb 11th, '03 Fractal of the Day and it matches the image at: http://home.att.net/~Fractals_3/FotD_03-02-11.html To create the Fractal of the Day I used Robin's Fractint Paste & Go utility, and put both the parameters and the formula in the parameter window with a 'frm:' in front of the formula. Any further help will be appreciated. - Hal Lane hallane @ compuserve.com

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FOTD 15-02-03 (Poinsettia [5])
by Jim Muth 15 Feb '03

15 Feb '03

FOTD -- February 15, 2003 (Rating 5) Fractal visionaries and enthusiasts: 'What is reality?' philosophers wonder. Is reality an indepen- dent objective thing, or is it something largely determined by the particular culture in which a person happens to live? 'What is a fractal?' I wonder. Is a fractal a real thing or an imaginary thing made visible by a computer? Certain physical objects such as coastlines have a fractal nature, but can the fractal nature be separated from the object and still be consid- ered real? Can a smile be separated from a face, or a mind from a brain? Today's image consists of trapped and evaporated inside stuff made visible by the < bof61 > inside fill option. Does this make it any more or less real than traditional images that consist of outside stuff rendered with equal-escape bands? It all depends on how the word 'real' is defined. If 'real' is taken to mean 'composed of objective physical matter', then all fractals created by computers are unreal. If 'real' is taken to mean 'observable by the senses', then visual fractals, and fractal music as well, are quite real. If we agree with the latter definition, and since it is observable, both on the screen and printed on a sheet of paper, today's image must be considered real. Most importantly, would I have concerned myself all these years with something that is not real? Today's image most certainly is real. I named it "Poinsettia" because it reminds me of one of those plants with red leaves resembling flower petals, which are in demand around Christmas time. As noted above, it is an evaporated scene made visible by < bof61 > inside fill. The parent fractal consists of three vertically stacked bays, with the north bay partially obscured by several intruding, apparently non-critical valleys. But once again, appearances are deceiving, for today's scene lies on the west shore of the intruding valley on the east, which proves to have a few critical features in it after all. I could rate the image no higher than an average 5. There's nothing really wrong with it, there's simply nothing in it that I could focus on to justify a higher rating. With a render time of 6/10 second under 15 minutes on my machine, the parameter file is decidedly slow. Speed may be achieved by downloading the completed GIF image from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Clouds and sun combined with an unexpectedly mild temperature of 40F 4C to give the cats a jolly afternoon on the porch Friday afternoon. Their moods were so good in fact that I had no need to break out the tuna. But this morning is colder with 6cm of fresh snow on the ground, snow still falling, and a forecast of a blizzard. The task of keeping them in a good mood throughout the day will be more difficult. As for me, I'm going to think of clearing the sidewalks. I might even decide to do it. Until next time, take care, and patience will soon be rewarded. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Poinsettia { ; time=0:14:59.40--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.7145852718248/+1.29586558138/2322434\ /1/-77.5/1.32154340873325005e-008 params=-5/-1.559\ 6104695/-0.5/-15.596104695/0/1e+100 maxiter=1200 float=y inside=bof61 symmetry=none periodicity=10 colors=000DJ_4GI8HLCHOGIRKITNIWRJZVJ`ZKcbKfeKhdIfd\ HedGdcFccEbcDacC`bBZbAYb9Xb8Wa7VFUoa5Ta4SYMOVcKStH\ aGYdMZgS_jZ`mdapjanlYlnUjpRhrNftJeuGk7ojBnjFnjJnjN\ nfSmbXmZ`lVelRjlNnkFUoFwk`vduuZnr_go``maUjbNgcGed9\ be2`eId1OfCUhN_jYdkhifXnbMsZBZoGRnNJmUBm_Acb9Vd8Lg\ 8CiCClFUoICrLCtIOKOMJVKHVMQXPLZSG`VBbY6d`1aZ5_Y8YX\ BWWFUVIRULPTPNSSLRVJQZGPaEOdCNhAMk8LnGOhNQcUTZaVTz\ YOo_JsQNvHRy8VwJQuULsdHqoCpz8mvBjsDgoFelHbhJ_eMYaO\ VZQSVSQSUNOXKLZIH`FEbCAdA7fEAdHCcKEbNGaQI`TK_WMZZO\ YaQXdSWgUVhTUiTUiSUjSUjRUkRUlQUlQTmPTmPTnOToOToNTp\ NTpNTjQCgRDdSEaTEZUFWVFTWGQXGNYHKZHH_IE`IBaJ9aJDbI\ GcIJdIMeIPfITgIWhIZhIaiHdjHhkHklHnmHqnHtoHwoHxqIxs\ JxuKxwLxyLwqTwi`vagvUovNvqMplLjgLdbK_YKUTJOOIJJIDE\ H7AH2CJ3EK3GL3IM3KN4MO4OP4PQ4RR5TS5VT5XU5ZV6`W6bX6\ cY6aNJ_DVZ3fY7gYAgYDgYGgXKgXNgXQgXTgWXgW_gWbgWegVi\ gVlgVogVrgVsdWOsTNrQNqNNq } 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 CD ordering info
by Jim Muth 15 Feb '03

15 Feb '03

I'm still trying to work out a few details about ordering the long-awaited FOTD CD. I'll post the full ordering information sometime tomorrow. Be patient fractal fans . . . Jim M.

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Re: FOTD 14-02-03 (Beach and Cliffs [6])
by Fr. Jim Lacasse 14 Feb '03

14 Feb '03

I tried to run the .par file for today's fractal and I got an error message saying that it could not find a file. Is there a typo in the formula code?? Thanks Fr. Jim >>> Paul.N.Lee(a)Worldnet.att.net 02/14/03 09:30AM >>> Jim Muth wrote: > > Though the coloring of today's image is spectacularly intense, > it was achieved with the aid of an additional graphics program, > and therefore is artificial. If you would send me the image you created, then I will put that on the web site, instead of the FractInt version which I generated without your colorings. Which reminds me, were you able to recreate the exact same colorings of past FOTD images for your CD?? What I mean is the images you tweaked in the past with a graphics progam and then made available in both JPEG and GIF formats. And how did you save the "tweakings" (or steps taken) to be able to get those same colorings for your new CD?? 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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FOTD 14-02-03 (Beach and Cliffs [6])
by Jim Muth 14 Feb '03

14 Feb '03

FOTD -- February 14, 2003 (Rating 6) Fractal visionaries and enthusiasts: Today's spectacularly colored image lies near the tip of the main filament of the fractal that is drawn by the MandelbrotBC1 formula when the real(p2) parameter is not changed from zero. This figure does not fit on the default screen, and the filament extends even farther beyond the border, to the north and west. Midgets of Mandeloids in the exponent range between 1 and 2, such as today's, have a curious characteristic that is well displayed in today's image. Parts of their shoreline form broad, gently sloping beaches, while other parts form sheer cliffs. The northern edges of today's midget are in the form of broad, flat, high-iteration beaches, which I have colored brilliant yellow. The southern edges form sheer cliffs, where the duller, low-iteration, outside material directly abuts the water. I named the image ""Beach and Cliffs" when I noticed the clarity of this contrast. This same beach-cliff effect also exists in the normal quadratic midgets, though it is far less noticeable. In quadratic midgets, the East Valley area represents the sheer cliffs, while the area where the main stem joins the main body of the midget represents the flat beaches, where the iteration count becomes very high, and images take a long time to render. Though the coloring of today's image is spectacularly intense, it was achieved with the aid of an additional graphics program, and therefore is artificial. Combined with the commonplace nature of the midget, this drops the rating from a 7 to the present 6, which is still a bit above average. The render time of 5-1/2 minutes on my 200mhz machine is just about proper for an image that rates just a little above average. The image may be seen faster by downloading it from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Before moving on to the all-unimportant weather, I must find what kind of a demand there will be for the much-heralded FOTD CD-ROM, so that I will know whether it will be worth the effort of having it mass-produced. (which I doubt) The disk is basically finished, and will contain every FOTD image from the start of the series in April 1997 to the end of December 2002, plus many earlier images and some extra controversial philosoph- ical discussions. I currently plan on selling the disks for 20 dollars. If you would purchase a disk at this price, drop me a letter at my mindspring e-mail address. Cold temperatures, clouds and biting winds prevailed all day Thursday here at Fractal Central. The temperature of 28F -2C was far too chilly for sensitive paws and whiskers, so the fractal duo spent the day indoors, wishing they could be more comfortable outside. Luckily, by the time evening arrived, the tuna had been restocked. The treat raised the duo's spirits notably. Today is starting cold again, and more snow is forecast for the week-end. I fear much more tuna will be required. I also fear that if I fail to start the day's tasks, I will never finish before the forecasted snowstorm arrives. (which they often never do) So until 24 hours from now, when the next glorious FOTD will appear, take care, and wait patiently. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Beach_and_Cliffs { ; time=0:05:30.37--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=-1.590574411382/+4.488285640669/85143.9\ 2/1/17.7/0.0 params=1.414213562373/0/0/0 float=y maxiter=42000 inside=0 logmap=38 periodicity=10 colors=00060J00O00R00V00_00c00h00m00p00m00j00g00d0\ 0a00Z60WB2UH4SM6PV8McBHjDCrF7yH0uB0q60m00i00e00a00\ Y00U00Q02M08I0FJ0MO0SS0_X0e_0lc0rg0yl0zp0zu0zy0zz0\ zz0zw0zp0zg6raJcVVQMXXDXa6_e0_j0an0ar0aw0er0jp8nlH\ pjSuecyclz_wzXzzSzzQzzVzwXwn_pgaj_ccSeXJgSDj_FgeHe\ lJcrMayO_zQXzSXzQazOczMgzJjzHnzFpzDuzDwzBzz8zz6zz4\ zz2zz0zz0zz0zz0zz0zw0zr0zl0ze0za0zV0zO0zJ0zD0z60z2\ 0zB0zJ0zS0za0zj0zp0zy0zz0zz0zz0zz0zz0zz0zz0zz0zz0z\ z2zz4zz6zz6zzDzwJzuQzpXwnaujgpgnlcugayeczXezOgzFgz\ 6_z0Sz0Jz0Dz06z08z0Bz0Dz0Fz0Hz0Hz0Hz0Jz0Jz0Jz0Jz0M\ z0Mz0Mz4Mz6OzBOzDOzHOzJVzXawggprnlzzgzzczz_zzXzzVz\ zSzzSzzQzzOzzOzzMzzMzzMyzMrzMlzMezJ_zOSzSMzXFza8ze\ 2zj0zn0zr2zw4zz6zz8zzBzzDzzFzzHzzJzzMzzOzzQzzSzzVz\ zXzz_zzazzczzezzgzzjzzlzznzznzzgzzczzXzzSzzOzzHzzD\ zz8zz2zz0zz0zz0zz4zz8zzDzzHzzMzzQzzVzz_zzczzgzzlzz\ pzzuzzyzzDzzwzz0zz0zz0zz0 } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END 20.0 PAR-FORMULA FILE==================================

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FOTD 13-02-03 (In the Dog's Eye [7])
by Jim Muth 13 Feb '03

13 Feb '03

FOTD -- February 13, 2003 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a blow-up of a midget that lies on the filament extending outward from the main valley of yesterday's 'Fido' image. Since this valley forms the eyes of the dog's head, I named the image "In the Dog's Eye". The image is one of the best scenes I have yet found in the fractured fractals with an exponent of Z between 1 and 2. I rated it at an honest 7. Most of the rating is earned by the < tdis > option, which colored the image. The image is unusu- ally detailed, and benefits greatly by being rendered at a high resolution. An unusual feature of today's fractal is the trip out from it back to the surface of its parent. As the outzoom progresses, one attractive fractal scene after another comes into view. Several of these larger scenes could just as well have qualified as today's FOTD, but I chose the deepest one I could safely reach. On my aging Pentium 200mhz machine the parameter file renders in 7 minutes. On a faster machine it will render in less time. But the fastest way of all to see the image is to download it from Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> As I wrote two days ago, when I read the book "Relativity and Common Sense" by Hermann Bondi, I was forced to change the way I thought about the universe at large. No longer could I assume that the laws of the limited part of the world which I observed through my limited senses were valid over the vast range of physical existence. But even though the vast physical universe worked differently than my limited sensory input led me to assume, it was still out there, solid and real, regardless of whether it was being observed, a firm foundation upon which the discipline of science had been built. After fascinating myself with the curiosities of relativity, I turned to quantum mechanics, went to the local library, and read as many books as I could find which I was able to understand. To begin, I found far fewer popularized books of QM. This is because QM is so strange that it is difficult to accurately express in everyday words. I discovered that the tiny microscopic world is far stranger than the vast world of relativity. QM can be fully described only by arcane mathematics, and can be fully grasped only by those who understand the math. I found that there are several interpretations of what the math means, and that the leading interpretation is, (or was at that time), the Copenhagen Interpretation. This interpretation states (as best I could understand it) that at the atomic level there is no reality -- that reality is somehow created when a quantum thing is measured. Now my curiosity was really aroused. The physical world is real, I thought. My senses show me that it is really out there. I can see it and hear it. Even in the dark, when I cannot see or hear things, I know they are still there because I can feel them when I bump into them. And what about things that really happened when no one was there to observe them, such as the formation of earth's moon? It made no sense at all. How can real physical objects be built of electrons, protons and neutrons that are not real? A house cannot be built of imaginary bricks. Either the atoms must be real or the objects must be unreal. Was the science that I admire based on an illusion? And I found other quantum things that seemed absolutely impossible. I found that a single object (if quantum things are objects) can be in more than one place at a single moment of time. I found that quantum information can be transmitted instantaneously over any distance, faster than light, which relativity had just told me was impossible. I found that sub-atomic things can go forward, backward, or even sideways in time. In short, I found that the universe is not only stranger that I imagined, it is stranger than I could possibly imagine. And even more telling, I found that not even the quantum experts know what is going on down there. There are many competing interpretations of QM, with the ultimate goal being to reduce the quantum world to something that resembles our everyday world, where space is filled with real, spatially separated objects, and time flows forward in a straight line. When I realized how weird the world as described by science had become, the world as described by religious mystics, which I had recently decided was imaginary, seemed ordinary by comparison. This realization marked the beginning of the end of my days as a materialistic, Atheistic skeptic. If I continue this thread, it will be only on the philofractal list. Now let's get on to that all-important weather. Sun and cold winds prevailed here at Fractal Central on Wednesday. The sun tried hard, but the snow-covered ground and temperature of 26F -3C were too much for it to overcome. As a result, the fractal cats endured another day of semi-voluntary confinement. The ultimate insult came in the evening, when I discovered the cats' food shelf devoid of tuna. They satisfied themselves with a few slices of left-over turkey that I managed to dredge up. I see work beside me and the clock on the wall overhead ticking all too fast. I had best get busy doing what needs to be done. Until next time, take care, and if nothing is real, what am I. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ In_the_Dogs_Eye { ; time=0:06:55.07--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=+0.06875740844296324/-2.375913184400092\ 00/2.898133e+011/1/-85/0.00235733226356027 inside=0 params=1.5596104695/0/1234/0 float=y maxiter=8000 outside=tdis periodicity=10 mathtolerance=/1 colors=000o`on_lm_jlZgkYdlVnjYbh_SfbGcc0ed5gdAidFj\ eJleOneTpeYqfasffufkvfoucluajtZgtXesUbsS`rQYrNWqLT\ qIRpGOpEMqEHqECuD6qE7nF8kG9gHAdIBaJCYKDVLESMFDAFPM\ FZXG_YF_ZF`_E`_Ea`DaaDbbCbbCccBcdBdeAdeAef9eg9eg9`\ aDXWHSRLOLPEHNKGSQFXWFaaEegEjmDosDsKeUPdUVdU_cUebU\ l`RjbUicWhdYff_egadhcbjeakg`liamgamfamebmcbnbbnacn\ _cnZcoYdoWdoVdoUemSekQfjOfhMggKgeIhdGhbFh`Di_BiY9j\ X7jV5kU3kS1kR0dS4ZT8SUCMUFKVHJWIHWJGXLEXMDYNBYOAZQ\ 8ZR7_S3aU6_T9YTBWSEVSHTRJRRMPQPOQRMPUKPXIO_EPZHOYK\ OYNOXPOWSOWVNVXNV_NUbNTdNTgMSjMRlMRoMQrMUyPQtMNoKK\ jHHeFE`CBWA8R75M52I34M85QC6TG7XK9`OAcSBgXCk`EndFrh\ GvlHypJuiKrcLnXMkRNgKOdERf2Pa8OYDMUILQNJLTIHYGDbF9\ gE5lQDXaLHuZ2lS1cM0WG0UH2TI4SJ5RK7QL8PMAONBNODMPEL\ QGKRHJSJITKHUMMZBGUNCMdBQZATT9WN6WK8ZIAaGCcFEfDGhC\ IkAKm9Mp7Nr6PeKRTYTGkV3xX6wY8w_Aw`CwbFwcHveJvfLvgO\ viQvjSulUumXuoZup`uqbupar } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END 20.0 PAR-FORMULA FILE==================================

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FOTD 12-02-03 (Fido [5])
by Jim Muth 12 Feb '03

12 Feb '03

FOTD -- February 12, 2003 (Rating 5) Fractal visionaries and enthusiasts: When I saw today's image, I saw such a clear image of the outline of a dog's head facing right that I had no choice but to name the the picture "Fido", the most generic of all dog's names. The midget that forms the head is actually the largest midget on the largest filament of the fractal that results when the formula Z^(1.5596104695)+C is iterated 1234 levels up the logarithmic spiral. No one has ever seen this spiral, which is even more abstract than the fractals that lie along it. I assume that it is five-dimensional, at least in the case of formulas like today's. But being no math expert, I am only guessing. With so little in the image other than the shadow of a dog's head, I could rate it no higher than a 5. But the lightning- fast render time of only one minute makes the work of running the parameter file worth the effort. For those who prefer to download the finished image, the download is available at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The snow-covered ground and temperature of 27F -3C kept the dynamic cats indoors all day Tuesday. A snow squall in the evening dropped an additional few centimeters that assures they will be in jail again today. Hopefully, the tuna will keep them satisfied. I'll be satisfied when the modestly huge amount of work now before me is behind me. So until tomorrow, take care, and put your faith in things that are real -- that is after you have determined what is real. (clue -- it might not be what it seems) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Fido { ; time=0:01:07.72--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor center-mag=0.0780992/-2.39592/42.40069/1/-85/2.166\ 66962149503206e-013 params=1.5596104695/0/1234/0 float=y maxiter=28000 inside=0 logmap=yes colors=00000C00E00G00H00J00L00N02P06R0AT0EV0GX4J`8\ LdEPgJRkPVoTXsZ`zdbziezrjzskzxqzztzzxzztzzpzzmzzkz\ xizvgzugzuezvdzxbzz`zzZxzXvzXuzVszTqzRozPmzNkzLizL\ gzJezHdzGbzE`zCZzAXzAVz8Tz6Rz4Pz2Nx0Lx0Jv0Hv0Gu0Eu\ 0Cs0As08q06q04o04o04m44m84kC4kG4iJ4iN4gR4gV4eX4eZ6\ dZ6dZ6bZ6bZ8`Z8`Z8`Z8bZAbZAdZAe`Ae`Cg`Cg`Ci`Ck`Ek`\ Em`Em`Eo`Gq`GqbGsbGsbHubHvbHvbHxbJxbJzbJzbJzbLzdLz\ dLzdLzdNzdNzdNzdNzdPzdPzdPzdPzdPzdPzdRzeRzeRzeRzgT\ zgTziTziVziVzkVzkVzkXzmXzmXzmXzoZzoZzoZzq`zq`zq`zs\ `zsbzubzubzubzvdzvdzvdzxezxezxezzezzgzzgzzgxzgxzix\ zixzixzizzgzzgzzezzezzdzzdzzbzzbzz`zz`zzZzzZzzXzzX\ zzVzzVzzTzzTzzRzzSzzUzzWzzYzz_zzazzczzezzgzzhzzizz\ jzzkzzlzzmzznzzozzpzzqzzrzzszztzzuzzvzzwzzxzzyzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END 20.0 PAR-FORMULA FILE==================================

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