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FOTD 19-07-11 (Mandelbrot's Pride [8])
by Jim Muth 19 Jul '11

19 Jul '11

FOTD -- July 19, 2011 (Rating 8) Fractal visionaries and enthusiasts: Today's image is merely an everyday scene in the conventional math range of the overworked Mandelbrot set, yet it rates a lofty 8. This rating is justified because I awarded myself 1-1/2 extra points for the coloring, which occupied a full hour of my limited time. Without the fancy coloring the image would have rated no more than a humdrum 6-1/2. The scene lies in the spiral seahorse-like tail of a tiny period-38 bud on the northwest shore line of the main period-2 bud of the Mandelbrot set. The maxiter of 15000 is a bit too low to fully resolve the large, unusually spectacular minibrot at the center of the image, but it results in the best coloring, so I posted the image slightly under-resolved. The name "Mandelbrot's Pride" is likely true. Mr. Mandelbrot was surely proud of his accomplishment of bringing fractals to the public attention (around the year 1980). But fractals, at least in their Julia aspect, were actually discovered many years earlier by Mr. Julia, who unfortunately had no computers to show the world what he had found. The calculation time of 9 seconds is insignificant when compared to a lengthy human life span of about 3,000,000,000 seconds, so go ahead, run the included parameter file and enjoy the image. You'll never notice the lost time. Another way to enjoy the image is to view it on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> or in high-definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and don't forget the original web site at: <http://www.Nahee.com/FOTD/> Monday here at Fractal Central was hazy and hot, with a tempera- ture of 95F 35C that kept the fractal cats stretched on the coolest floor they could find. But at 6pm a noisy thunder-storm moved in, which dropped about 2.5cm of rain and lowered the temperature to 73F 23C. The thunder caused the fractal cats to grow alert, though they did not become alarmed enough to dash for cover. Tuesday began hot and muggy. By midday the temperature reached 90F 32C, which sent the cats once again into hot-weather mode. But a cooling thunder-shower arose around 5pm, which brought them back to life. The humans had reasonably uneventful days, which is the kind of day we enjoy. The sick computer is once again in full health, though with all the viruses out there, no guarantee of continued health can be given. The next FOTD will be posted in 48 hours. Until then, take care, and we'll never reach the stars until we find a way to leave our bodies behind. But when we do this, the universe will be ours. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Mandelbrot's_Pride { ; time=0:00:09.66-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.1375835316682\ 11/+0.2095148760940262/7.282211e+011/1/137.5/0 params=0/0 float=y maxiter=15000 bailout=9 inside=0 logmap=-2227 periodicity=6 mathtolerance=0.05/1 colors=0008LV8NV8OV8PV8RV8SV8TV8TV8SV8ST8QS8PQ7NO5\ MN4KL0LK1MQ7NWDObIPcOQcVRcVTcVScVRcVQcVPWVOQVNLV83\ V01T01Q01O01N01K01I11H31V4Dg4O_ATMENDCM00A05B3BD8H\ DENEKTFQ_FVozYzzjLzlLzxNzcNxWNtOWzINmBNj4Ng0Nc0N`0\ LW0NY0OY0OY0QY0S_0S_0T_0T_0V`0W`0W`0Y`0_b0_b0`b0Yg\ 0`b0bY0eV0gQ4hN8lIDmFHoBNs7St4Wx0`z0ez0jz0oz0xz0tz\ 0sz0ox0ms0ll0hg0gb0eY0bS3`N5_I7WEAV8DT4EQ0HO0KN0LQ\ 0KS0KT0KV1KW3KY5K_8K`AKbDKeEKgHKhIKjLKlOKmQKoTKqVK\ sYKveIt_KtVKtQKsLKsHKsDKs8Kq4Kq0Kq0Kq0Ks0Ls0Ls0Lt0\ Lt0Lt0Lt0Nv1Nv3Nv4Nx4Nx5Nx7Ox8OzAOzAOzBOzDOzEOzFQz\ HQzHbzIbzKbzLbzNbzNbzOszQszSszTszTsvSzvQzzVzzVzzVz\ zEzzHzzLzzKzzKzzKzzIzsIzsIzsIzsHzsHzsHzsHzsFzsFzsF\ zsFzsEzsEzsEzhEzhDzhDzhDzhDzhBzhBshBshBsjAsjAslAsl\ AsmAsmAso8so8sq8sq8ss8ss8st7st7sv7sv7sx7sx7sz7sz5s\ z5sz5sz5sz5sz5sz4sz4sz4sz4sz4sz4sz4sz5sz5jz5bz5Wz5\ Wz5Wz5Wz5Yz5Yz5YzD3zK3zS4 } END PARAMETER FILE=========================================

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<Alex Dukay> Re: FOTD 09-07-11 (Wheel of Misfortune [8])
by Hal Lane 18 Jul '11

18 Jul '11

Alex, > I've just checked your new 'July' section and the links only > work after July 13th. Thanks for letting me know that those images had gone missing . Apparently, when my hosting provider moved my site to a new server they failed to move those files. I'd previously fixed a couple of other problems I'd discovered, but I hadn't realized that all those images had not been moved to my new server. I've uploaded the images again and checked the July page (and the end of June) and verified that they all load OK again. Again, thanks for letting me know so I could fix the problem! - Hal Lane ######################## # hallane(a)earthlink.net ######################## ------ Alex Dukay wrote: ---------------- Date: 2011-07-17 21:07 -400 To: Fractint and General Fractals Discussion Subject: Re: [Fractint] <Lee Skinner, all> Re: FOTD 09-07-11 (Wheel of Misfortune [8]) I've just checked your new 'July' section and the links only work after July 13th. All links prior to that date return the infamous '404' message. Alex Dukay ---

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<Lee Skinner, all> Re: FOTD 09-07-11 (Wheel of Misfortune [8])
by Hal Lane 17 Jul '11

17 Jul '11

> The link to July, 2011 seems to have disappeared from your FOTD page. Lee, Thanks a lot for letting me know. It's fixed now. I was temporarily mystified as to how I overwrote(?) the correct version on the server, as the only version I have on my hard drive is the correct one. I just now uploaded it again to put the July link on the Home page. I also found that the June page of FOTD's had lost its July link. That's fixed also. My best guess as to what happened is that when my hosting service recently moved me to a new server, the backup they restored to the new server didn't have the July link that I put onto my "Home" FOTD page (or the most recent changes in the June page). All, Can anyone tell me whether my "home" page: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html *ever* had the July link on it? Please let me know if anyone spots any other irregularities, untruths, errors, etc. -- or has any recommendations -- for my "stopgap" site for Jim's FOTDs. - Hal Lane ################################# # hallane A T earthlink D O T net ################################# --------- Lee Skinner wrote: -------------- Date: 2011-07-17 13:56 -400 To: Fractint and General Fractals Discussion Subject: Re: <Mike Frazier> Re: FOTD 09-07-11 (Wheel of Misfortune [8]) Hal, The link to July, 2011 seems to have disappeared from your FOTD page. Lee Skinner ---

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FOTD 17-07-11 (7-armed Heptafractal [7.5])
by Jim Muth 17 Jul '11

17 Jul '11

FOTD -- July 17, 2011 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image lies in an everyday Mandelbrot set that has taken on order-7 characteristics in its deeper depths. To find the scene we start at the period-4 bud on the northeast shore line of the parent M-set then go to the largest minibrot on this bud's filament network. This minibrot is still a reasonably normal one, but when we check the minibrot on this minibrot's main stem, we find that it is well along the way of morphing into an order-7 minibrot. Zooming in even farther, we check the area where the larger minibrot's main stem joins the smaller morphing minibrot, an area we might call the East Valley area of the smaller minibrot. We notice that the main stem branches into a series of shallow spirals before it enters the actual bay. We check one of these spirals. By the time we have gone deep enough to find an even smaller minibrot in the spiral, the minibrots have all totally morphed into order-7 shapes. Today's image shows one of these order-7 minibrots. The curved arms radiating from the minibrot indicate that the scene lies on a shallow spiral network. But all this confusing verbal description totally fails to give a visual impression of today's image. To enjoy the image, it will be necessary to run the included parameter file, which runs in 5-2/3 minutes, or to surf to the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> to view the finished image there. A high-definition version is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original classic web site may be accessed at: <http://www.Nahee.com/FOTD/> The name "7-armed Heptafractal" was of my own invention. Anyone who knows exactly what it means also knows where the Tropic of Sir Galahad is located and what the song 'Stairway to Heaven' is all about. The rating of 7-1/2 indicates that I consider the image a little better than normal, but nothing to write home about. Heat returned to Fractal Central on July 16 as the temperature reached 88F 31C. The day was saved however by the humidity, which remained on the dry side all day. The fractal cats passed the day lounging on the living room floor, avoiding the sunlight that occasionally filtered through the trees. At post time on the 17th, the weather was looking like a repeat of the 16th. The day of the humans on the 16th was acceptable, as are most days here at FC. The next FOTD will be posted in 24 hours, but hopefully, by the end of the week, we'll have the FOTD back on its traditional every-day schedule. Until next time, take care and have fun dreaming of trips into interstellar space. You're surely never getting there in person. But isn't it curious that we have evolved the ability to dream dreams and feel desires that have no chance of being realized. One would wonder what the evolutionary advantage of such a frustrating ability might be. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= 7armedHeptafractal { ; time=0:05:38.74-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip inside=0 center-mag=+0.355833037442585/+0.6498625194640629/\ 5e+012/1/-25/0 params=7/1000000000000.0/0/0 float=y maxiter=3200 logmap=-714 mathtolerance=0.05/1 colors=000SAUTBUUBUUBUUBUUBUUBUUBUUBUUCUUCUUCUUCVU\ DWUDXUDVUEUUEUUEUUFUUFUUFTUGTUGTUHTUHSUISUISUJRVJR\ VJRVKSVKTVKTUKUUKVUKVUKWUKXSK_UMXWOVYQT_SQ`UObWMdY\ Jf_HgaFicCkeKkgPkiUkkZkmckohkqlkomkmnkkokipkgqkerk\ cskatl_ulYvlWwmUxmSymQzjPwhOtfOqdNnaNk_LiYKhWIfTHd\ RFbPE`AEAADAADABCA9CA6BA6BA4AA5AF9BJCBHFBGICFLDEOF\ ERGDUHDXHB_H9cI8hI6mI4rI3vI1zI0vH3rG6mF8hEBfDDdCGb\ BJ`ALc9OX8Qc7TT6Wc5YP4`c5cN4bc4bP4bc4bQ4bc4bS4bc4b\ U4bm3aV3am3aX3am3aY3am3a_3am3a`3am6`Y8`mA`WC`mE_UH\ _zJ_SL_zNZQPZzSZOUZzWYMYYz_YKbYzdXIfXzhXGjXziYJiYz\ iYMiYziYOiYziYRjYzkYTlYzmYWnYzoYZqYztY`wYzzWzzY_z_\ zzaWzczzeRzgzziLzjzzjPzjzzjSzjzzjWzzzzjYzzzzfzzzzz\ czzzzz_zzzzzXzzzzzTzzzzzQzzzzzMzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzEzzAzzBzzBzzAzzAzzAzzCzzEzzGzzIzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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<Mike Frazier> Re: FOTD 09-07-11 (Wheel of Misfortune [8])
by Hal Lane 17 Jul '11

17 Jul '11

> Here is a deeper zoom into one of the ovals of this fractal: Thanks for the nice image - and the antialiasing. I believe that there are 512 gray stripes in the blue ring, and 1024 gold "candelabra fingers" with a gold background, just centerward from the blue ring. Also, the identical counts are repeated on the larger rings -- with the 1024 pattern being the gray "candelabra fingers" with the red background. I don't believe that I've been able to clearly see period doubling taken to 1024 before. Thanks again for the anti-aliasing that made seeing this possible. - Hal Lane ######################## # hallane(a)earthlink.net ######################## ------- Mike Frazier wrote: ---------------- Author: Mike Frazier Date: 2011-07-16 14:44 -400 To: Fractint and General Fractals Discussion Subject: Re: [Fractint] FOTD 09-07-11 (Wheel of Misfortune [8]) Here is a deeper zoom into one of the ovals of this fractal: http://dl.dropbox.com/u/33642054/image/woma41_1200_5.jpg -- Mike Frazier www.fracton.org

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FOTD 09-07-11 (Wheel of Misfortune [8])
by Jim Muth 16 Jul '11

16 Jul '11

FOTD -- July 09, 2011 (Rating 8) Fractal visionaries and enthusiasts: Problems mount here at Fractal Central. The machine that was doing the work on the FOTD web site has come down with a rather nasty virus of the 'fake alert' variety, which left it unable to do anything but give fake warnings that it was infected with a virus. The stated cure was to go to a web site and download a certain program, which was certainly useless and would require that we give a credit card number, which would certainly be stolen. The machine is now in the shop, where the technician will try to clear out the fake alert virus, which is certainly no fake. Today's image is a scene quite deep in the period-26 radical on the north-by-west shore line of the main bay of the Mandelbrot set. The name "Wheel of Misfortune" refers to the out-of-action computer that is hopefully on the road to recovery. After careful consideration, I rated the image at an honorable 8. Since the image is a very deep one, the calculation time is a slow 18 minutes. And to make things worse, the finished image will NOT be posted to the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> until hopefully some time next week. But salvation is at hand, for the image will soon be posted in high definition on Hal Lane's web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And don't forget the traditional web site at: <http://www.Nahee.com/FOTD/> Rain fell most all day Friday here at Fractal Central, with a temperature of a cool but very humid 73F 23C. The conditions were perfect on Saturday however, when the clouds of Friday gave way to Kodachrome blue skies, with cottonpuff white clouds, much lower humidity and a temperature of 86F 30C. The fractal cats were cat-like all day. The humans waxed angry when the computer got sick on Friday, but things settled down on Saturday. The next FOTD will be posted in 48 hours. Until then, take care, and let me know when (if ever) man reaches out toward the stars. The harsh fact is that, as long as we need to take our cumbersome bodies along, with all the necessary life-support equipment, we'll probably never get beyond the moon. It's just too damn expensive and the financial problems here on earth are too damn serious for us to waste money on such childish space-cowboy stuff. Too bad it was all a dream. So suck up, stop crying, and take it like a man. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= WheelOf_Misfortune { ; time=0:18:13.46-SF5 on P4-2000 reset=2004 type=mandel passes=1 float=y params=0/0 center-mag=-0.1937408443716777257397830313851/0.65\ 43465677029328435966803440113/4.3905e+026/1/-19.5/0 maxiter=6000 bailout=6 inside=0 logmap=780 colors=00000A01B02C02D03E03F14G24H35I45J56K67L78M8\ 9N9AOAAPBAQCARBCSAEV9GY8I`7Kc6MhCOmIQrOSvUUzZVzcZz\ cczchzcmzcrzcvzeHUbGX`FZYEaWEcTDfRChOBkMBmPGkRLiTP\ gVUeXYcZba`f_bkYdoXamYZkZXi_Ug`SeaPcd_`hccmkhntmow\ rpzsqzurzwszxtzyuzzvzzwzzzP77N43M10WK0db0ea4fa7g`B\ h`Ei`Ii_Lj_Pk_SlZWmZZmZajYZgXXdWVbVT_URXUOVTMSRKPP\ INNGKMDHKBFI9CF79C57C39A9B9FC8KE6QF5VH4`I2eKBkLApJ\ IqIPqGWqFbrDirCprBwrIrpPmnWhlbdji_hpVfvResPcpOamN_\ jLYgKWdJUaISZGQWFOTEMQDKNBIKAGH9EE8CFHIFQOFYUFf_Fo\ eFwjPvknvktvtwvwzzzwrwuowslrpionfpldpjaqgZreWscTta\ Rt_SnZShYTbWTYVUSNHI0CI3LQ6UY9bsCqzIgeclYUcQ_aIWUF\ TNCQF9N87XPhYMYQ9BZKNgjldbcbWV`PM4YlCUcKQVSMM_76ZD\ A3IPBVvNc_Lc3WcONc`TcPRcoVcWmcFimEemEamDvmypmljm`d\ mPLmoSmWTm5Vm8XzBdztUzGWzFYzEzzIzzGzzEzztzzZzzSzzK\ zzIzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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FOTD 15-07-11 (A Simple Diversion [4])
by Jim Muth 15 Jul '11

15 Jul '11

FOTD -- July 15, 2011 (Rating 4) Fractal visionaries and enthusiasts: Today's image earns a rating of a mere 4, which I admit is below average. It is simply another everyday scene in East Valley of the Mandelbrot set. The actual location is in the Seahorse Valley of the large minibrot on the shoulder of the period-18 elephant on the south side of East Valley. I did put a small extra effort into the coloring, though not enough to earn the standard half-point bonus. The name "A Simple Diversion" describes the image, which came about almost accidentally as I noodled at the fractal keyboard. The calculation time of an even 10 seconds will put no time pressure on even the busiest fractalist. But running parameter files is still a nuisance. To make things as simple as possible, check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> or the high-definition version at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The classic FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Thursday and Friday here at Fractal Central were virtually identical, with lots of sun, wispy clouds, low humidity and a temperature of a comfortable 84F 29C. Conditions were so pleasant that the fractal cats passed the chilly morning hours curled in their cold weather positions. Little of note happened in the human world, but not so with fractals, which always have existed and always will exist. If fractals are merely an invention of the human mind however, they have no reality at all, and will cease to exist with the demise of the last person who knows about them. The next FOTD, for better or worse, will be posted in 48 hours. And it should not be too long before we return to the every-day schedule. Until next time, take care, and maybe fractals are not the only semi-real things that are creations of the human mind. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Simple_Diversion { ; time=0:00:10.00-SF5 on P4-2000 reset=2004 type=mandel center-mag=+0.2799927583330\ 883/-0.00863883735311807/2.073768e+011/1/-137.5/0 params=0/0 float=y maxiter=15000 inside=0 logmap=2910 mathtolerance=0.05/1 colors=000gM_gM_gOaeOaePadPbdQbbQbbTaaTbaWbaXbbY_b\ __baYbbY_dYXeXUeXQeXPeWMgWJhWGjUDlUAmU9lT6jT3hT0gP\ 0eP0dP0bQ0_Q0XO0UL0PI1LG2GF2DD39A559618805903A02A0\ 1D02F02I03J33L83OC5PG5TL5UP6WT6YX6_a8be8dj8eo9ht9j\ y9mzAozAqzAozCmzClyDjvDhqFgmFehFdeGbaGaYI_UIYQJXFJ\ XCJYDIYDIYDI_DI_DI_DIaDGaDGaDGbDGbDGbDGbGJbILWLMWM\ OWOPWQQWTTWUUWQWWQXWTYWW_WPaWFbUJaTJ_TEYQJXXeWXdUW\ dTUbQUaPT_OQXMQTLPQJOPIOOGMMFLLDLJCJLAIJ9II8GI6FI5\ FI5JF6MC8I99J9AL8CO6DI6FL5GM3IO3IO3JM5JA5JA5JA5JA3\ JA3JA3JA2LA2LA2LA1LA1LA1LA0LA8YA9YA9Y0Ad0Ab0CW0DO0\ FG0G90I20M00T00Y09d3LjAYoIltPyyWezaPze8zj0zo1zq9zr\ IztQzv_zwhzyzmzzzmmzzaqzPgzDXz2Mz0DzDUzLQzQOzXLzbI\ zhGzeMzbTz_XzYbzWgzTmzQrzLjzGIzCYr8TmDWhJYePaaUdY_\ gUejQdlOzoQtrU_vXXw_IP00Pq0PT0P5zdj_dO8d2ydPJd3ody\ XdbFdJ0d1ldmzdy0t80t10t00t0PzDPz5Pz0dz0dz0tz0tzztz\ OtzDzz0zzLzzAzz1zz0zzzzzd } END PARAMETER FILE=========================================

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FOTD 11-07-11 (Glorious Celebration [7.5])
by Jim Muth 13 Jul '11

13 Jul '11

FOTD -- July 13, 2011 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image lies deep, but not all that deep, in a filament extending from the large north period-3 bud of a minibrot that lies on a minor branch of the filament network extending from the period-4 bud on the northeast shore line of the Mandelbrot set. And now that we (hopefully) know exactly where the scene is located, the thing to do is rush to enjoy its glories. Perhaps a bit over-enthusiastically, I named the image "Glorious Celebration". I leave it to the viewer to invent a reason for the celebration. The rating of a 7.5 means that the result will be worth the effort of spending the 17 minutes required to calculate the image. But sometimes the worth of an object is in the mind of the individual. Those who feel that no fractal is worth a 17-minute wait may find eventual relief on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> where the finished image will be posted in a day or so. Immediate relief may be obtained by viewing the finished image in high definition on Hal's web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Tuesday proved to be a hot sunny day here at Fractal Central, with a temperature of 93F 34C that kept the fractal cats stretched out in hot weather mode most of the day. The people passed the day in waiting mode -- waiting for word from the computer shop that the sick machine has been restored to health. The word never came, but things are looking up. Wednesday began with light rain, but cleared off by midday, leading to a very pleasant afternoon with lots of sun and a temperature of 84F 29C. Late in the day we got word from the computer shop that they have isolated the problem and should have the machine up and running by Thursday. (Damn virus!) The next FOTD will be posted in 48 hours. Until then, take care, and visiting other worlds by ingesting LSD seems a workable way to play space-cowboy. But, forgetting about legality, there is always that little problem of reality. How would the LSD trippers get the world to take them seriously? How would they demonstrate that the things they observe on their trips are really out there and not just a lot of unreal drug-induced hallucinations? Jim (I never inhale) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= GloriusCelebration { ; time=0:17:40.56-SF5 on P4-2000 reset=2004 type=mandel passes=1 bailout=16 center-mag=0.3810124098623526005883449162/0.685148\ 192066715948738221395/1e+023/1/-150/0 params=0/0 float=y maxiter=5000 inside=0 periodicity=6 colors=000o00r03t0Av0Gx0Oz0Wz1cz2lA2KA3KA3KA4KA4KA\ 5KA5KA6KA7KA7KA8KA8LA9MA9NAAOABPACPADPAEPAEPAFPAFQ\ AGRAGSAHTAHUAIVAIWAJXAJYAKZ8K_7K`7Ka5Kb5Kc3Kd3Ke3K\ f1Kg1Kh0Ki0Kj0Kk0Kl0Ln0Mp0Nr0Ov0Pz0Qz0Rv0Sr0Tm0Uh0\ Uc0UZ0UU0WP0WK0WF0WA0U50U10S00S00Q00Q00Q00O00O00M0\ 0M00M01O0AQ0KS0UU7aWAcUEeSIgQMgOQiMSlKWnI_nGcoEerC\ irAnt8rv7vx5xx3zz1zz0zz0zz0zt3zl7zcCzWGzOMzGSz8Wx1\ av0ct0ev0ev0ev0ex0ex0ex0ez0ez0ez0ez0ez0ez0ez0ez0ez\ 0lz0ez0_v0Un0Og0I_0ES08K03E007000100500733AA7CIAEQ\ EIYIKeMMnQQvUSzYUzcUzaUz_Uz_UzYUvYUtWUoWUlUUiUUeSU\ aSU_QUWQUSOUQOUMMUKM_CIc7Eg1Cl08r05v03zh0ze0zb1z_3\ zX5zU7zP8zKAzFCzAEz5Gz1Iz3Kz7Mz8OzCQzESzIUzKWzO_zQ\ czShzUmzUrzWtzWwzWwzYzzYzzYwz_mz_hz_hzaczaczaQxcQx\ cOvcOteMreMoeMngKlgKlgKocGv_EzWAzS7zO3zK1zCCz7Mz1W\ z0ez0oz0zz0zvGnctSevUexUgxUgzWizWizWlzYlzYnzYnz_oz\ _oz_a10c00g00g00i00l00n00 } END PARAMETER FILE=========================================

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FOTD 11-07-11 (The Pale Fractal is Alive [8])
by Jim Muth 11 Jul '11

11 Jul '11

FOTD -- July 11, 2011 (Rating 8) Fractal visionaries and enthusiasts: Today's image is a simple recoloring of a non-FOTD image I posted several weeks ago. The coordinates show that the scene lies on the north-northwest shore line of the main bay of the Mandelbrot set, though I have forgotten the exact location. The name "The Pale Fractal is Alive" is a comment on the pale colors. Such paleness may be considered a fault, but at least in my opinion, the paleness in today's image is a virtue. The rating of an 8 is true 'in my opinion' also. Those who enjoy their fractals with intense colors may consider the rating overblown. I consider it only a little if any exaggerated. The calculation time of 28 minutes is no exaggeration. The magnitude of over 2*(10^31) requires arbitrary precision math with all its slowness. But all is not quite as bleak as it seems, for the finished image will sooner or later, more likely later, be posted on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition version will be posted notably earlier at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> while the original web site may be accessed at: <http://www.Nahee.com/FOTD/> Sunday turned into another perfect day here at Fractal Central. The digital blue skies were made all the bluer by the cottonball white cumulus clouds, while the temperature hung around a pleas- antly warm 86F 30C and the humidity remained at a reasonable level. The fractal cats spent most of the day sleeping, Nicholas on the top of the secretary and Cassie on a chair. The humans spent the day trying to enjoy the day, which is a sure way to not enjoy it. The next FOTD will be posted in 48 hours. It might be another very deep one in the Mandelbrot set. Until then, take care, and if anyone knows how we might bring about the kind of outer-space adventures we see on sci-fi TV, please let me know. (I guess I should note the word 'fiction' in the phrase 'Science Fiction'.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= ThePaleFracIsAlive { ; time=0:28:47.51-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-0.1544\ 30158076852307578200573930148812/1.028184051437829\ 95934904475562903725/2.386084e+031/1/-15/0 params=0/0 float=y maxiter=2800 bailout=9 colors=000HHHGGGGGGFFFFFFEEEEEEDDDDDDCCCCCCBBBBBBA\ AAAAA999999888888777777666666555555444444333333222\ 22211111100000000000000011111122222233333344444455\ 5555666666777777888888999999AAAAAABBBBBBCCCCCCDDDD\ DDEEEEEEFFFFFFGGGGGGHHHHHHIIIIIIJJJJJJKKKKKKLLLLLL\ MMMMMMNNNNNNOOOOOOPPPPPPQQQQQQRRRRRRSSSSSSTTTTTTUU\ UUUUVVVVVVVVVWWWXWWYXXZXX_YY`YYaZZbZZc__d__d``e``e\ aafaafbbgbbgcchcchddiddieejeejffkffkgglgglhhmhhmii\ miimjjmjjmkkmkkmllmllmmmmmmmnnmnnmoomoomppmppmqqmq\ qmrrmrrmssmssmttmttmuunuuovvpvvqwwrwwsxxuxxwyyyyyz\ zzyyywxxuxxswwrwwqvvpvvouunuumttmttmssmssmrrmrrmqq\ mqqmppmppmoomoomnnmnnmmmmmmllllllkkkkkkjjjjjjiiiii\ ihhhhhhggggggffffffeeeeeeddddddccccccbbbbbbaaaaaa`\ `````______ZZZZZZYYYYYYXXXXXXWWWWWWVVVVVVVVVUUUUUU\ TTTTTTSSSSSSRRRRRRQQQQQQPPPPPPOOOOOONNNNNNMMMMMMLL\ LLLLKKKKKKJJJJJJIIIIIIHHH } END PARAMETER FILE=========================================

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FOTD 05-07-11 (Challenger Fractal [7])
by Jim Muth 10 Jul '11

10 Jul '11

FOTD -- July 05, 2011 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal image is a scene deep in East Valley of the large minibrot on the negative spike of the Mandelbrot set. And when I say deep, I mean deep. With a magnitude of over 10^96, the image is one of the deepest I have ever found. It is so deep in fact that the features are unfamiliar, though the typical East Valley goofy eyes are apparent. Yes, there is a minibrot at the center. I have not yet been down there, and due to the time factor might never go there, but if someone with a super-fast machine feels tempted to see what lies much deeper in today's image, you have my blessings. Unfortunately, the extreme depth also makes the image one of the slowest. The calculation time of over 2-3/4 hours will try the patience of even the most patient fractalist. This is where the FOTD web site comes to the rescue however. The finished image is posted on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> It is, or soon will be posted in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And don't forget the original FOTD web site at: <http://www.Nahee.com/FOTD/> Monday proved to be a rather pleasant and typical Independence Day here at Fractal Central in central Pennsylvania. The koda- chrome blue skies and cottonpuff clouds simply begged to be photographed. (Even though the old Kodachrome film is gone, the sky is still blue.) The temperature of 84F 29C was warm enough for swimming, while the humidity was low enough for comfortable outside activities, and the dry weather was perfect for the evening fireworks. The fractal cats do not like independence day. The bangs of exploding firecrackers had them on edge most all day, and when dusk came and the explosions picked up, the dynamic duo took shelter in the bedroom until the noise settled down. Meanwhile, FL and myself had an uneventful day. Unless something unex- pected turns up, the next FOTD will be posted in 48 hours. Until then, take care, and with civilization on the brink of collapse, I wonder whether its replacement will be worse or better. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Challenger_Fractal { ; time=2:46:45.77-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.749879763723303625053154128808566087\ 33087068131509407390221609977764152792206339038580\ 35532704313692/3.711275390023365538060136900393279\ 23739521658716180513365112109254521643684694156138\ 251e-15/1.208835e+096/1/-112.5/0 params=0/0 float=y maxiter=10000 bailout=25 inside=0 colors=000QDXPCWOBWNAVNAVM9UL8UK7TJ7SJ6SI5RH5RG4QF\ 3PF2PE2OD1OC0NC0NE1PF1RH1TI1VJ1XL1YM1_N1aP2cQ2eR2g\ T2hU2jV2lX2nY2p_1rZ2qZ3pY4oY5nX6mX7lW8kW8jV9iVAhVB\ gUCfUDeTEdTEcSFbSGaRH`RI_QJZQKYQKXPLWPMVONUOOTNPSN\ QRMRQMRPMSOLTNLUMKVLKWKJXJJXIIYHIZGH_FH`EHaDGbCGbB\ FcAFd9Ee8Ef7Dg6Dh5Dh4Ei5Fi6Gi7Hj8Ij9JjAKkBLkCMlDNl\ EOmFPmGPmHQmIRmJSmKTmLUmMVm`Um_TmZSmZRmYRmYIzPKzPM\ zONzOSzNXzNazNfzNkzMpzMuzMzzMvzNrzOnzPjzQfQRcSS_UT\ WWUSYVO_WLaXHcYDeZ9g_5i`2k`3gX3dU4`R4YN5UK5RH6ND6K\ A7G77D4CGAGJFKLKOOQSRVXT_`WddZjh`olctoeymeykfxifxg\ gwegwchvahuZitYjsWjrViqVfpVcoV`mVYkVViVSgVPeVMdVJb\ VG`VDZVAXV7VV5UW6TX6SY6SZ6R_7R_7Q`7Qa7Pb8Pc8Oc8Od8\ Ne8Mf9Mg9Lh9Lh9KiAKjAJkAJlAIlAIlcCi_EfXGcTH`QJYMLV\ JMSFOPCQM8RJ5TG2UF6TE9TDDTCGTCKTBNTART9US8YS8`S7dS\ 6gS5kS5nSBmUHmWNlYTl_Zkadkcjjepjgvjhplgjmgdof_pfUr\ eOsegYTgZUh_WiaYjb_kc`leb } END PARAMETER FILE=========================================

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