August 2011 - Fractint - mailman.xmission.com

FOTD 26-08-11 (The Test of Time [6.5])
by Jim Muth 27 Aug '11

27 Aug '11

FOTD -- August 26, 2011 (Rating 6.5) Fractal visionaries and enthusiasts: Today's image departs from the deep theme of the month, but have no concern. Tomorrow's image will return to the theme in style. The parent fractal came about when I iterated the expression Z^(2.23)+C at a level 2.3 turns up the hyperspiral with the 'recip' function applied. This parent is a sprawling, amorphic thing that looks nothing at all like the pure Z^(2.23)+C Mandeloid as it is drawn by the 'manzpower' formula. Today's scene is located in the interior of what might be considered a Seahorse Valley, though its features bear little resemblance to what one would expect to find in a proper Seahorse Valley. To begin, the part angular, part parabolic holes in the image are nowhere to be found in the familiar Seahorse Valley. And nownere in the Mandelbrot set do we find the discontinuities that fill today's image. The minibrot at the center is a reflection of the shape of the parent Mandeloid. Recognizing the various parts is virtually impossible. The minibrot would be somewhat better defined if it were calculated with a greater maxiter, but doing this spoils the already-shaky color scheme. The rating of a 6.5 indicates that I am somewhat disappointed with the image. When I named the image "The Test of Time" I was pondering the fact that even if the entire universe were to suddenly disappear, this particular scene would exist in potentia for all eternity. The calculation time of 8-3/4 minutes is slow by everyday standards, but quite fast by very-deep-math standards. The completed image is posted for instant viewing at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The classic original web site is at: <http://www.Nahee.com/FOTD/> Picture perfect weather prevailed at Fractal Central today. In fact, with its temperature of 84F 29C, kodachrome blue skies and billowing cumulus clouds, the day could have passed for a day in the Caribbean. The fractal cats, who have spent their lives in Pennsylvania, wouldn't know a tropical-island day from a day in the Arctic. They were more interested in watching an unfamiliar new black-and-white cat that passed through. The humans passed most of the day watching the over-hyped doomsday weather forecasts on the various news-and-commercial channels. IMO, the storm will be less devastating than the news people are implying. Here in central Pennsylvania we are expecting little more than a gusty rain on Sunday. Things could be worse however back at Old Fractal Central down in Central Maryland, where my sister still resides. The next FOTD will be posted in 24 hours. Until then, take care, and the wise old hermit on the mountain top told me that if I work hard enough, I might be a Boltzmann brain some day. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Test_of_Time { ; time=0:08:44.55-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip center-mag=-0.1109090974689217/-0.7516937525903022\ /3.851973e+009/1/27.5/0 params=2.23/0/2.3/0 float=y maxiter=3600 inside=0 logmap=-660 periodicity=6 colors=000F97FA7EA7DB7DB7IABNAFS9JX9Ma9Qf8Uk8Yp8`k\ AXfCTbEPYGMTIIPKEKMAGO7HRCHTHHVMIXRIZWI``IbdK`cMZb\ OXaQVaST`UR_WP_YNZ_LYaJXcHXeFWgDViBVOVZ2mb5l`8l_Bk\ ZEkYHjXKjWNjVQiUTiTWhSZhRahQcjSekTglUimVkoWmpXoqYq\ rZst_uu`wvaxwbyqdmmfccgcbicYjTNXQX`NcdKjhHrlEzpBmm\ 8br5Wv2Pz0Jz2NzG87CEEC35B49A4D94G94K84O74R64V64Y54\ a44e34h34l24p14s04w04zRCmZiMaUQdEUmtkzi_tcPrFEuG3g\ HOVHgtwAcgNNS_L`SJhKHpCGx5FuCErJDoPClWBibBfhEWgGLf\ JAeL0e5HvzCyXFd3ILAHJHHHOGFVGDaFBgF9`R9Vb9Pn9Jy9Mi\ CPVFSFIU0LP8QLGUHOZDWb9cg5kkAnjEpjIrjKqlMpmOonQnoS\ mpQlqPkqOjrNjrLirKhsJgsIgsFbpDZmBVj9Qg7Ud5YaWaFWeH\ cfGfgDhhAki7lj1mk4nl6om8pmApmCqmErcGscIvcNscKqcIoc\ GmcDkcBhc8ic9jcAkcBlcClcDmcEncFocGucIzcGzcEzcDzcBz\ b8zc9zcAzcAzcBzcBzcGzcKzcOzcSzmXzm`zmdzmhzmmzmqzmu\ zzyzzvzzszzqzznzzlzzizzgzzdzzbzzazz`zz_zz_zzZzzYzz\ XzzXzzWzzVzzXzzVzzTzzRzzP } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-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 PARAMETER FILE=========================================

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Monochrome Views
by Brian Prentice 26 Aug '11

26 Aug '11

Here are three monochrome views of the same scene which is a detail from the FOTD for 8/24/11. http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_41a.png http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_41b.png http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_41c.png Brian Prentice

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FOTD 25-08-11 (Sandy Stretches [8.5?])
by Jim Muth 26 Aug '11

26 Aug '11

FOTD -- August 25, 2011 (Rating 8.5?) Fractal visionaries and enthusiasts: Today's image rates an 8-1/2 followed by a question mark. This means I feel it must have something worth 8-1/2 points somewhere in it, but I just can't put my finger on any aspect of the image that might be worth a rating of an 8, plus the usual extra half- point for the coloring. To begin, the image is exceedingly slow, taking over four hours to calculate, but this is how it goes with such deep images that require arbitrary precision math. The scene is also too chaotic, with too many large areas of fractal 'sand'. This is why I named it "Sandy Stretches". The sand cannot be escaped. When I tried the 'logmap' feature, both plus and minus values, it got rid of the sand, but left only a near featureless expanse of flat colors. The entire image is also oriented in the wrong direction. The central minibrot points southeast instead of west, which is the 'normal' orientation. With the minibrot being so small however, this is of little consequence. I could easily have corrected the wrong orientation, but decided not to tie up the machine for another four hours. The scene is located in the radical of a tiny bud on the northwest shore line of the large period-3 bud on the north side of the Mandelbrot set. (In fractals, a radical is all the elements, such as the filaments, spirals and chaotic areas, associated with a particular bud.) As I mentioned above, the image is exceedingly slow, so the only practical way to view it is in finished form on the web site. The official FOTD web site may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> Today's image is available in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site may be found at: <http://www.Nahee.com/FOTD/> The day began with heavy thunder-storms here at Fractal Central. The rain ended by 10am, but clouds and occasional showers hung on for the rest of the day, holding the temperature to a rather pleasant but soggy 79F 26C. The fractal cats ignored the outside conditions as they chased each other up and down the hallway, pausing occasionally to ask for food. The humans, who are never quite sure exactly what it means to be human, had a typical up-and-down day. The next FOTD will be posted in 24 hours. Until then, take care, and if you come across any stray Boltzmann brains, report them to the proper authorities. (Those Boltzmann brains are a hoot! The joke is that no high priest of cosmological science knows how to assure us that they are not floating around out there in empty deSitter space along with everything else imaginable and unimaginable.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Sandy_Stretches { ; time=4:06:50.04-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-0.1659\ 3261653808153849415041/0.8309478993840683571332440\ 2/3.87948e+021/1/95/0 params=0/0 float=y maxiter=100000 bailout=16 inside=0 periodicity=6 colors=000id8kg8phAvlBynCzqDzuEzzIzzIzzczzmzzmzzcz\ yUzuEysCvpBspApmAnl9ki8ki8ig8ig8if8if8fc7fc7fa7fa7\ d_6e_6fZ6gW5hW5iV5jV5kT5lT5mS5nS5oR4qR4sP4uP4wN4yN\ 4zM4zM4zL3zL3zK3zK2zK3zO9zPBzPDzbSzbWzc_zfezfhzfkp\ WasXfvWiyWmzXszWyzXzzXzz_zz_zz_zzZzzZzz_zz_zzZzzZz\ yZzxZzuYztYzt_zrZypZynYvn_vkZskZshYpiZpgYnfYnfYncX\ kdZkbYiaYipjzqlzplzolznlzonznnznnzllzlnzjlzhkzfkzf\ kzejzcjzaizaizcizchzchzcgzcgzcfzcezcezcdzcdzcdzccz\ cczbazbazb`zb`za_zaYzaYz`Xz`Xz`Wz_Uz_Uz_Tz_Tz_SzYR\ zYRz_Qz_QzZPzZPzYOzZNzZNzYMzYMzYMzYLzYLzXKzXKzYJzY\ JzYKzZLzYMzMMzMMzMMzMMzMMzMNzLNzLNzLOzKOzKOzKOzJPz\ JQzJQzJQzJQzJRzISzISzISzISzISzISzIUzFSzDOzANx8Lw7K\ u5Ks4Hp3Gm3Fk2Ei3Df3Dc3Cj3Cg3Bd3Aa4A_49Y59W69U68S3\ 7Q66N55O54N54I55I76I86I97IB8GE8DF8AH96I92MB3OB3QC3\ SC4SC4TD4TE4TF4WG5WH5WI5YJ5YK5YK5_M5_N5_O5aQ6aR6aS\ 6dU7dU7dW7fY7fZ7f_7ia8ib8 } END PARAMETER FILE=========================================

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FOTD 24-08-11 (Two-Headed Monster [6])
by Jim Muth 25 Aug '11

25 Aug '11

FOTD -- August 24, 2011 (Rating 6) Fractal visionaries and enthusiasts: Today's image lies in the parent Mandeloid that results when the expression Z^(2.25)+C is iterated 1.2 turns up the complex logarithmic hyperspiral with the 'recip' function applied. This parent appears as a reasonably complete Mandelbrot set rotated 180 degrees, with 2 East Valleys and 2 fractalized main spikes, each graced with 2 large minibrots. The image is located in a knot on a minor filament extending from the southern large minibrot. The rating of a 6 is held down because I seem to remember a recent FOTD image that closely resembles today's, at least in the coloring. But even if this is true, fractals are still fractals, and today's image must be infinitely different from its earlier relative. The name "Two-Headed Monster" refers to the minibrot at the center of the image, which, even though it is not fully resolved, closely resembles the shape of its parent. The calculation time of 1-1/2 minutes is quite fast by fractal standards. In fact, more time is likely to be spent setting up today's parameter file than in running it. The image may be viewed without calculation however on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> It is also available in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And the original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> A mix of sun and clouds with a high temperature of 84F 29C and a nice breeze made things pretty comfortable here at Fractal Central today. The fractal cats, who survived the big quake yesterday, spent the day in meditation. The humans meditated about finding time to meditate. The next FOTD will be posted in 24 hours. Until then, take care, and fractals might be all in the mind of a Boltzmann brain. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Two-Headed_Monster { ; time=0:01:25.02-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip inside=0 center-mag=+1.5450423432411/-0.209605690560271/\ 6.688685e+012/1/35/0 params=2.25/0/1.2/0 float=y maxiter=1500 logmap=166 mathtolerance=0.05/1 colors=00040Z30X30V30T30R30P20N20L20K20I20G10E10C1\ 0A1081461753984AA5BC6CE8DG9EJAFLBGNDHPEJRFKUGLWIMY\ JN_KOaLPcOOeRNfSMgULhWKjYJk_JlaImcHneGpgFqiErkDsmD\ xkCviBtgBqeAncAkbAhaBecCbeD_hEXjHUkMRkRPoWNq`LteJu\ iHwmFzmDwjIqeMlcQeUUbJY_GaXEeUCdPAcK5bF0aA0`50_00Z\ GzzzkzCzzzlzErzzgzGmzzbzI_hJYhKVhLShHQgDLg9Gf58Z11\ Z70cD0hK0iR0iX5iZBi_DiaFicHidJifLigMiiOkjPmkQonRpr\ SrtTtwUvzVwdQiSMWFcI3h48m8CrBGrEKzIPzLTzOXXR`_VdbY\ ie`mgdqjgumjyomwljvjgthesebrc`paYo_WmXTlVRkTOiRMhO\ JfMHeKEdICcJIcJNbKSbKXbLaaLfaMk`Mp`Nu`NzdLxgKwjJvm\ IupHtsGsvFryEqxDpxCpxBpxBpxApx9px9pxApwCpwEpwGpwIp\ wKpwMpwOpwQpuSksUgqWcoYZm_VkaRicNgmIemEcmAbm6dmBem\ FgmJhmNimRkrWlr_mrcorgprkqronrmlzljzkhzjfzidzhbzgz\ zfzzezzdzzczzbzz_zzYzzWzzUzzSzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzDzzDzzDzzEzzEzzEzzFzzFz\ zFzzDzzCzzAzz9zz8zz6zz5zz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-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 PARAMETER FILE=========================================

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FOTD 23-08-11 (A Fire Deep Inside [7.5])
by Jim Muth 24 Aug '11

24 Aug '11

FOTD -- August 23, 2011 (Rating 7.5) Fractal visionaries and enthusiasts: Today's fiery image shows a scene rather deep in the prominent knot on the longest filament extending from the northeast shore line of the main bay of the large minibrot on the negative stem of the Mandelbrot set. The rating of a 7.5 includes 1/2 point for the coloring, which admittedly is a bit exaggerated but makes a lively picture nonetheless. I have been down to the minibrot at the center, and found it is less interesting than the scene in the image. The minibrot is surrounded with little more than a multitude of concentric circles with varying degrees of chaos. The name "A Fire Deep Inside" has nothing to do with a steamy romance novel. It refers to the lurid fiery hues filling the image. The calculation time of 58 minutes is slow. The better choice is to view the finished image on one of the FOTD web sites. The finished image may be viewed on the official FOTD web site, which may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> The high definition version is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD site may be accessed at: <http://www.Nahee.com/FOTD/> Near perfect weather once again prevailed here at Fractal Central today, with lots of sun and a temperature of 79F 26C. But the peace was broken by a sizable earthquake in the afternoon. The quake shook up things quite a bit and cracked a wall in the city administration building, which had to be evacuated. The cats of the fractal variety ignored the quake as they slept and chased each other up and down the long hallway. The humans had another day of being busy, which is better than being idle. The next FOTD will be posted in 24 hours. Until then, take care, and the visible universe is about 27.5 light years in diameter. But we are seeing the most distant parts in the positions they occupied 13.7 billion years ago, and they have been receding at near light velocity since then. So how far away are those most distant parts at the present time? I guess it's all a matter of relativity. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Fire_Deep_Inside { ; time=0:58:18.64-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.7444\ 51874102962814298045297578235/0.022028759872824611\ 8223664753939981/7.165866e+028/1/-30.9/0 params=0/0 float=y maxiter=18000 bailout=16 inside=0 colors=00000M00N00O01P02Q03R04S05T06U07V18W39X4AY6\ BZ7C_C9XF6VI3TL0SO0QS0P_0O`0M`0La0Id0Fk0Cq29sF6uJ3\ xL6zT9z`CzgFzoJzuIzoGziFzcDz_CzXAzT9yQ7xO6vT4u_3sd\ 1rj0yo0uo0pl0lg1id4d_6`T9YTATTDPTGMTIITLDTMATP6TQ1\ TT0_Q0dV0fc0g`0dY0aV3YS6VP9SMCOJFLIIIFLDCOA9Q76T33\ X00P00V00_00c01i06m09r0Dv0Gz0Lz0Oz0Sz0Vz3Xy9XpFYiL\ YaQYTX_Ma_GfcFg_DgXCiTAiQ9iO7jL6jI0oD0r66jFC`PIPYO\ Fg_FpXDpS4rJ0v70z90zC1zD6wGAuIFvJJxMPzOTzQYzSazVfz\ XjzYoz_lz_jx_ir_gl_fg_da_cX`cQ`cL`cG`cA`c4`c0`c0`c\ 0Yc0Xc4VcATcFScLQcPPcVMcaOc_OcYOcVPcTPcSPcPQcOQcLQ\ cJQcIPcLPcMPcOPcPPcQPcSPcTOcXOcYOc_Oc`OcaOcbOccOcd\ PcePcfQcgTchSciQcjPckPclOcmMcmLcmMcmOcmOcmPcmDcmJc\ mPcmUcmUcmUcmUcmUcmUcmUcmUcmUckUciUcgUcfUceUcdUccU\ caSc_QcYOcWMcUKcSIcQGcOCcM4cK3aI3`G3_E3XC3VD3TF3QG\ 3PI1OJ1LL3IM4FO6CP79Q07S00B00B00B00C00C00C00D00D00\ E00E00F00G00H00I00J00K00L } END PARAMETER FILE=========================================

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FOTD 22-08-11 (The All-Seeing Eye [8])
by Jim Muth 23 Aug '11

23 Aug '11

FOTD -- August 22, 2011 (Rating 8) Fractal visionaries and enthusiasts: Today's image is named "The All-Seeing Eye". But there is nothing all-seeing about it. The image is simply a picture of a minibrot in the parent fractal that results when the formula Z^(2.2)+C is iterated 2.2 levels up the logarithmic hyperladder with the probably erroneous reciprocal function applied. This parent is another of those rotated and scrambled Mandeloids that appears to be suffering from the effects of the second law of thermodynamics. Its entropy is starting to increase, and this increase will continue until nothing but a screen filled with infinitely divided, flat gray fractal sand remains. (It's too bad that entropy so rarely decreases. If it did, fractals would spontaneously appear out of nowhere.) The scene of today's action is located in a branch of what appears to be a degenerate Seahorse Valley. I say it appears to be a Seahorse Valley because even though it encloses a period-2 bud, in its depths it looks nothing at all like the valley we know so well. The terraced effect was achieved by rendering the scene with the 'tdis' option in effect, which colors the points according to how far they have traveled when they finally escape. The rating of an 8 is deserved, since I did put at least a little extra effort into the coloring. The calculation time of 2-3/4 minutes is true when the image is rendered with the passes set to 'b'. With this particular image, passes=b is the fastest. The image may be viewed without the inconvenience of setting up and running a parameter file by visiting the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The image is available in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The 14-1/2-year-old original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> The weather today was ideal here at Fractal Central, with kodachrome blue skies decorated with cottonpuff cumulus clouds and a temperature of 77F 25C. The fractal cats, who are of very low entropy, spent the day playing with their catnip toys and sleeping. The humans, of equally low entropy, spent the day doing things that are more human, such as work. The next FOTD will be posted in 24 hours. Until then, take care, and would all the Boltzmann brains please raise their hands. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_All-Seeing_Eye { ; time=0:02:48.90-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=mandelbrotbc3 function=recip passes=b center-mag=-0.0263040944212104/-0.7577543124938957\ /2.16623e+012 params=2.2/0/2.2/0 float=y inside=255 maxiter=1600 outside=tdis mathtolerance=0.05/1 colors=000lTzjNzjJzgOzfUzf_zhgzgjzcmz`qzXvzVzzTzzV\ zzXwz_szbozdlzgjziizhczfZzh_zi_zj`zk`zl`zmbznbzobz\ pczqczqczsdztdzudztgzsizrjzqlzqnzpozopzlnzimzfmzcm\ z`mzZmzWmzUmzTizSfzRczR`zTczVgzXkz_nzbszdvzgzzjzzl\ zzgzzdvz`qzZmzWizTczR_zNWzMRzKNzILzGIzGGzGKzGQzGWz\ HdzHmzKlzNkzSkzWlz`lzfmzlozrrzsqzuozxnzzlzzlzqepla\ jfZe_V_VSVQPQMMMGGGCCC999777777454152CCCJJJTTThhhy\ yyzzzzzzzxvzvozvjzwdzw`zxWzySzzNzzKzhIyVHqHDm9AV47\ Y6Ba8FdALhDQlFRlHSlIVjK`lPioUpnXkl`mgab__VVVV_aZEv\ oFwiHycIz_zzdzzXxzQrzLivIbmFWfCQY9KS7GM5BF37A13500\ 203524954C85GC5KGBPLIVSQ_YYdhgjtppzsvzjqzapwUlkNeg\ NcWLdVLYRKQNJJLJCJFTDDS9CP6BN4AM2BN4BN5BN7CN9DNCFN\ FFNGFMFEKEEmEDmEEmEEmEDmDCmCDmDcczcczdczdczdczecze\ czeczfczfczfczgczgczgczgczcjz`fz_czZ`zWYzVVzTTzQPz\ OMzNKzLIzJGzIFzTKzcSzp`zzlzwfzr`znXziTzcOz_MzVIzQG\ zNFzWHzfKzdLzdMzcMzbMzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-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 PARAMETER FILE=========================================

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FOTD 21-08-11 (Time to Reset [7])
by Jim Muth 21 Aug '11

21 Aug '11

FOTD -- August 21, 2011 (Rating 7) Fractal visionaries and enthusiasts: Today's not-all-that-deep scene in the Mandelbrot set rates an everyday 7. The location is near a point of antibifurcation in the East Valley of a tiny minibrot on a filament extending from the northeast shore line of the large minibrot on the west branch of the filament extending from the large period-3 north bud of the M-set. (Everyone now knows exactly where the scene lies.) The image is notable for the star-like elements surrounding the central minibrot. Usually when we travel this close to a minibrot at such a depth, the surrounding elements appear as little more than an endless nest of concentric circles. The name "Time to Reset" refers to the fact that the image is located near the resetting point of a larger minibrot. The calculation time of 33-1/2 minutes is slow. However, the image is posted already calculated on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> and in high definition 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/> Sunday brought sun, clouds and a light thunder-shower to Fractal Central. The fractal cats approved of the temperature of 84F 29C, while the humans would have rather done away with the light shower. The next FOTD will be posted in 24 hours. Until then, take care, and it is believed by some that we bring most of our troubles on ourselves. Whoever believes this is forgetting about God. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Time_to_Reset { ; time=0:33:31.20-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-0.1476\ 729189716259299418108340881134/1.03561330331477946\ 1662044062401693/4e+029/1/75/0 params=0/0 float=y maxiter=32767 bailout=16 inside=0 periodicity=6 colors=0003P03S03V03Y04_64aC4bH4dN5eS5gY5hbnrZnrXn\ rWnrUnrSnrQnrOnrMnrKnrInrGpuDnrFloHjlIhiKffLdcNbaO\ `ZQZWRXTTVQUTNWRLXPIZNF_LCaJ9bH6dF4eI7fLAfNDfQGgSJ\ gVMgXPg_ShaVhdYhg`iicilfiniiqljsojvrjxujsshnrfipdd\ ob_n`VlZQkXLiVGhTLQ88jUCgSGdQKbPO_NSXLSPJWVK__KbdL\ fjLjoMlwLmtMmqMnoMnlMoiMogModNpaNp_NqXNqVNrSNrPOrN\ OsKOsHOtFOtKOtUOs_SscVsgYsj`smcsofsqisslspotuwssts\ qrsppsnmslktmqslmskirjfribqi_qhWpgTpfPofMoeIndFncB\ rb7nc8jd9fe9beAZfBWgBShCOhDKiDGjECkF6lC9kFBkIEkLGj\ OIjRLjUNiXQi_SibUheXhhZhmagrcgvghzegzcgzbfz`fz_fzY\ ezXezVdzUdvSdrRcmPchObdMb_LbYJaWIaVG_TFZSDYQCWPAVN\ 9VM2VL4WM6_M8bMAfNCiNEmNFoNHnOJlPLjQMhROfSQdTSbUT`\ VVZWXXXZVY_TZaR_cP`kQ`dOaYMbRLcLJcEId7Ge1Fe2Da3CZ3\ BW4AT59P58M66J75G74C83992691394A97H9AN9DU9G`9JfKRi\ UYldeonlrjingfjdcga`cZY_WVXTSTQPPNMMKJIHGEEDBBA787\ 36005405705A04D04G04J04M0 } END PARAMETER FILE=========================================

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FOTD 20-08-11 (Color in Black and White [?])
by Jim Muth 21 Aug '11

21 Aug '11

FOTD -- August 20, 2011 (Rating ?) Fractal visionaries and enthusiasts: This is the month of deep images, but at a magnitude of only 4*(10^19), today's image lies at nowhere near a record depth in the Mandelbrot set. Since arbitrary math is necessary, the scene is deep enough to qualify as a deep image however. The scene is located in the East Valley of a minibrot that lies deep in the northwest valley enclosing the period-23 bud on the south shore of East Valley of the M-set. The rating of today's image is a question mark. This is because its coloring is experimental. To get the effect, I first reduced an everyday color palette to gray scale then added the tints by hand. Part of the image is still pure gray scale, while other parts have color shades of varying intensity. The final effect is interesting but I could not decide on a definite rating. The name "Color in Black and White" is an oxymoron. By definition, 'black and white' implies a total lack of color. (Actually, a black and white image contains all the colors, but they are all of the same intensity, giving the visual effect of a lack of color.) The image is deep enough to require arbitrary precision math, which means it is a slow one, taking almost 45 minutes to complete. If slow calculating is not your cup of tea, the finished image is posted on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition version is at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The classic FOTD web site with images going back to April, 1997 may be accessed at: <http://www.Nahee.com/FOTD/> The weather conditions in the Fractal Central area were near perfect today. The early morning fog soon cleared off to reveal a cloudless blue sky, which prevailed for the rest of the day. The fractal cats approved of the hot sun and temperature of 86F 30C from their inside location. Nicholas tried to make a breakout when we opened the front door. He made it into the vestibule, but much to his disappointment, was stopped by the outer door. Cassie watched with amusement. She is quite happy to be a totally indoor cat. The humans spent the day at the Sunbury River Festival, this small town's big annual event. We arrived just as an exhibition of belly dancing was starting. Being a refined gentleman, I averted my gaze . . . directly to the action. If I recover, which I fully expect to do, the next FOTD will be posted in 24 hours. Until then, take care, and don't worry. I apologized to the Big Guy up there, made a sincere act of contrition, and will do my penance. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= ColorInBlack&White { ; time=0:44:54.45-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=0.26760\ 3127253445631185766/-0.004760113045483619666748/\ 4.205498e+019/1/112.5/0 params=0/0 float=y inside=0 maxiter=10000 bailout=16 logmap=1932 periodicity=10 colors=000gEKgDLhDMhDMiDNiDOiDOjDPjDQjDQkDRkDSlDSl\ CTlCTmCUmCVmCVnCWnCXoCXoCYoCZpCZpC_pB_pC_pCZpCZpCY\ oCYoDXoDXoDWnDWnDVnDVnEUmEUmETmETmESlFSlFRlFRlFQkF\ QkFPkGPkGOjGOjGNjGNjHMiHMiHLiHLiHKhHKhIJhIJhIIgIIg\ IHgJHgJGfJGfJFfJFfJEeKEeKDeKDeKCdKCdLBdLBdLAcLAcL9\ cL9cM8bM8bM7bM7bM6aN6aN5aN5aN4`N4`N3`O3`O2_O2_O2_O\ 0_P0ZP0CAC4644644644644644644644644644644644644644\ 64464464464464464464464666979ECEJHJNLNRPRXVXa_aece\ gegecea_aZXZUSURPROMOLJLIGIFDFECE00000000000000000\ 00000000000000000000000000000000000009CEEFHJKMONPT\ SUYVXb_ageelijqkovmtiWjzzzzvzzuzztzyryxqxwpwvovtmt\ tmtslsrkrqjqqjqbUbaUaaUa`U``U``U`kdkhahf_fdYdb`la_\ k`Zja_kKIKJHJLJLNLNPNPQOQTRTWUWYWY_b_X_XX_XX_SWZRX\ `SWcRmcPmcPmcQmcQmcPmcPzmRzmPzmRzmRzmQzmRzmSzmSzmV\ zmXzm`zmbzmfzmhzmmzmozmozmlzmgzmezmczmbzmazmUzmPzm\ JzmEzm9zm5zm4zm4zm4zm4zmE } END PARAMETER FILE=========================================

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Re: [Fractint] Details from recent FOTD's
by Hal Lane 20 Aug '11

20 Aug '11

Brian, Great images and coloring! - Hal Lane ######################## # hallane(a)earthlink.net ######################## ------- Brian Prentice wrote: ---------------- Subject: [Fractint] Details from recent FOTD's Here is a detail from the FOTD for 8/13/11 http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_37.png and here is one from the FOTD for 8/16/11 http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_38.png Brian Prentice -------------------------------------------------

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FOTD 19-08-11 (Blues in the Basin [9])
by Jim Muth 20 Aug '11

20 Aug '11

FOTD -- August 19, 2011 (Rating 9) Fractal visionaries and enthusiasts: Though today's image departs from the 'deep scenes' theme of the month, it is well worth the departure. The rating of a 9 is no mistake. The underlying image is worth only a 7, but I awarded myself a full 2 points for the coloring, which gives the image most of its impact. The parent fractal is the Mandeloid that results when the expression Z^(2.2)+C is calculated 2 levels up the hyperladder with the 'recip' function applied. This parent is one of the most torn up I have yet stumbled upon. I'll not try to describe it in words, though it may easily be viewed by resetting the logmap to zero and backing out of today's image. Today's scene is located in a jagged clump of debris on the west side of what I assume is the main bay. The minibrot at the center of the image closely resembles its parent fractal. The most impressive feature of the image is the coloring of the central disk and the five broad arms radiating from this disk. The name "Blues in the Basin" refers to the bluish tinge I applied to the central disk and five radiating arms. And for a change, the program supplied only a small part of this coloring. The calculation time of a zippy 18 seconds will seem reasonable to even the most impatient fractalist. As always, the completely calculated image is posted at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And the classic FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> A typical mid-august day prevailed here at Fractal Central today, with hazy skies, a high temperature of 86F 30C and humidity within reason. All this lasted until mid-afternoon, when a thunder-shower moved in and dropped the temperature to 68F 20C. The rest of the day was cloudy and more like autumn than summer. The fractal cats showed little concern with the outside conditions. They were more concerned with a line gauge, (printer's ruler that measures picas), that we laid on the table. The humans, in a very human manner, passed the day doing what needed to be done, though now that our biggest customer has gone elsewhere, this is sometimes too little to keep us busy. The next FOTD will be posted in 24 hours. Until then, take care, and does having faith in something always mean it is true? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Blues_in_the_Basin { ; time=0:00:18.73-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip float=y center-mag=-0.6449570164524272/-0.0409793368502258\ /4.7e+012/1/72.5/0 params=2.2/0/2/0 periodicity=6 maxiter=750 inside=0 logmap=49 mathtolerance=0.05/1 colors=000402603804A05C06E07G08I09K0FN0IP0JR0HU0JX\ 0J_0Hc0Fg1Ek2Co3Br6Bt5BwACzKDzUDzZEzUFzUGzUHzUHzUI\ zUJzcKzczzmzzmzzmzzzzzzzzzzmoOmlNmjNmhNmfNMcMMaMN_\ MNYMNULNULOULOZLOcKOZKOZKPZKPZJPZJPZJPZJbbUcaUcaUc\ hUchUdhUdhUdhUdhUehTfhSfhSghRghRctWcpVcpVcpVcpVdqV\ dqVdqUdqUerUerUerUerUeszfszfszfszftzftzgtzgtzgtzgu\ zguzhuzhuzhvzhvzhvzivziwziwziwziwzjxzjxzjxzzxzzxzz\ wzzvzzvzzuzzuzztzztzzszzszzrzzrzzqzzqzzpzkpzkzzkzz\ kzzkzzkzzkzzkzzkzzkzzkzzkzzkzzkzzkzzkzzzgzzgzzfzzf\ zzezzezzdzzdzzczzbzzbzzazzazz`zz`zz_zzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzlzzlzzlzzlzzlzz\ lzzlzzlzzlzzlzzlzzlzzlzzrzzpzzozzmzzlzzkzzizzhzzgz\ zezzdzzczzazz`zzZzzYzzXzzVzzUzzTzzUzzUzzUzzVzzVzzV\ zzVzzVzzWzzWzzWzzWzzWzzXzzXzzXhzXhzXhzYizYizYizYiz\ ZjzZjzZjzZjzZkz_kz_kz_kz_kz_lz`lz`lz`lz`mz`mzamzam\ zanzanzanzbnzbozbozbozboz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-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 PARAMETER FILE=========================================

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