October 2007 - Fractint - mailman.xmission.com

FOTD 14-10-07 (Mysterious Hexabrot [No Rating])
by Jim Muth 14 Oct '07

14 Oct '07

FOTD -- October 14, 2007 (No Rating) Fractal visionaries and enthusiasts: Today's quickie fractal was found with so little effort that I could hardly give it a rating. Before I entered the parameters I knew that the parent fractal would be a Mandelbrot set rotated 180 degrees, with a prominent spike extending from its East Valley as well as from its west end. And I knew that a strange little Mandeloid would lie on this extra spike. This strange little Mandeloid has a string of 5 extra bays ex- tending from its west end, and curiously, the largest of these bays lie farthest from the main body of the Mandeloid. Today's scene lies rather deep in the southern branch of the valley sepa- rating the fourth and fifth bays, which are the two largest. I named today's image "Mysterious Hexabrot" because the pattern around the minibrot consists unexpectedly of 6 lobes rather than the usual 4. I am finding this particular oddity more and more often in my travels through the fractal backwoods. I have no idea what it means, though I imagine that some mathematical genius somewhere on earth has already answered the question. The only thing not super quick about the image is its calcula- tion time of just under 4 minutes on the nuclear P4-2000mhz machine. The tired old P200 unit, which is still in fractal service, would take about 25 minutes to do the job. Taking all this time into consideration, I recommend viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> But because of the unusual post time of this FOTD, I would give Paul a couple hours to calculate the image and post it on the web site. Brilliant sun and autumnal temperatures in the 50's F, or around 13C, prevailed at Fractal Central on Saturday, making it a most pleasant day to be outdoors. While F.L. and I were outdoors, the fractal cats were having an equally pleasant day indoors. But they still demanded an extra treat when we returned in the evening. The next FOTD will appear on schedule in 12 hours or so. Until then, take care, and we will never solve all the myst- eries of existence until we discover them. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= MysteriousHexabrot { ; time=0:03:55.08-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=-1.9597975605951/-0.0184877289191/4.841\ 299e+008/1/-45/0.00032688 params=1/2/-0.2/3/0/0/0/0 float=y maxiter=10000 inside=0 periodicity=10 colors=000Q`C2ttLwxczzuzzpyxkvrgtlbqeZo_UlUPiNLgHG\ dBCb5B_CAYIAWO9UV9S`8Qf8OlARnBUoDWpEZqF`rHcsIftKhu\ LkvMmwOpxPsyRuzSxzTzzUtwVmrWhmWciX`dYZ_ZWVZTR_RM`P\ H_MDZIBWJEQOGOSJQXLR`NTeQUiSWnUXrXZwZ_z`YybWwdUvfS\ thRsjPqlNpnLnpKmrIktGjvEhxDgyKeomLkhPicThZXgU`fZNS\ XQUWTWVVYTY_S_aRbcxUKsWNoXQjZTf_Vb`YYb`UccfUuY_mMv\ cE6zGCxIItKOpMUlO_h4ChFRfLZuM`qNanObkPch6n`9laCkbF\ icIhcLfdOeekkvmpjiniflhbjg_igWgfTeekupepm`ljVhgvXI\ mZOQEkNEqJLlFShBYdBVaBS_BPYBMWBJUBGSBDQDJRFORHTRJZ\ RLcRNiROoRTuVXzZbsahlcneetZgzTiW`X2hKSdcbm`_kaYjbW\ hcUgdSeeut5xOzsRwnTtiWqdYn_`kVbhMQRNTUOVWOYZP_`Qbc\ X2_`feZeeXeeWeeUdeTdeRde2as6bq9boDcmGckKdiDq9HpAKp\ BOpBRpQ9AS9BU9CW9DY9E_9Fa9Gc9HeCLfFOfISfLWgOZgRbhU\ fhWihTkgRlgPmgMngKogIqgFrgDsgBtg9ugCrdFobIl_LiYNgW\ TcTY_RbXPhTMmQKrMIwJGaMEGODKRJNTPQVVQWTQWSQXQQXPQY\ OQYMQYLQZKQZIQ_HQ_GQ`EQ`D } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 13-10-07 (Slightly Skewed [No Rating])
by Jim Muth 13 Oct '07

13 Oct '07

FOTD -- October 13, 2007 (No Rating) Fractal visionaries and enthusiasts: Tomorrow I'm making a short trip back to Old Fractal Central, and the preparations kept me busy most of today. As a result, I had to cut short the fractal search and look where success was guaranteed. After a couple minutes, I found a fractal scene of FOTD quality in the Mandelbrot set. Today's image is another quickie from the large minibrot on the main spike of the Mandelbrot set. This time we delve quite deep into the north branch of the Seahorse Valley of this minibrot, where we investigate a filament extending from a bud on the east side of the valley. I named the image "Slightly Skewed" for a very good reason. The scene has been intentionally skewed 3 degrees. I did this to straighten the pattern around the minibrot, which actually appears a bit skewed in its natural state. Of course, such an easily achieved image can not be fairly rated. So I gave it no rating. But the calculation time of 42 seconds will try the patience of no one. As always, the best way to see the image is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view it there. A far more pleasant though still chilly day prevailed here at Fractal Central on Friday. Despite generous sunshine the temperature reached only 57F 14C, which really had the squirrels searching for nuts. The fractal cats spent most of the day at the back window, keeping watch on the back yard, where the squirrels were most active. I kept active enough without searching for nuts. I still have a few things to pack for the trip back to Old Fractal Central on Saturday, but it's only for 1/2 day, so I won't need to do to much. I expect to be back here at New Fractal Central in time to post the FOTD for October 14 only an hour or two late. Check back then to see if I make it. Until next time, take care, and I thought I had lost my mind, but I found it behind the bookcase. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Slightly_Skewed { ; time=0:03:08.94-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.7685293035675\ /+0.0000964321759/8.20597e+009/1/-27.5/3 params=0/0 float=y maxiter=500000 bailout=36 inside=0 periodicity=10 colors=000L_fL`eMadMbcMcbQLVPNWPOWPPXPQXORXOSYOTYO\ UZOVZNWZNX_NY_NZ`M_`M``MaaMbaJaTKbWLcZMd8McAMcCMcE\ MvGzzIzzKvzMvsOvoQvjSviUvhWvgYvfRueTrdVpeYmeZieZgd\ YebVc_RaXN_UJZRFYPBYO7VPBURETTHSUKRWNQYQPZTO`WNbZL\ LQMMRMNSMOSMPTMQTMRUMSUMSVMTVVJXSJYPJYMJZJJZGJ_DJ_\ AJ`7J`5J`9IYDHWHGULFSPEPTDNXCL`BJdAGh9El8Co7AnCEnG\ ImKLmOPlSTlWWk__kcblIflIfG1EH0BI48J3AK17L09M0BN0DO\ 5IPBGLCPMDRIETKFVPGXOHZLI`GJbCKd8Lf4Mh0Nj4Ph8RgBSf\ FUeIWdMXcQZbT``Xa__cZceYgfXjhWnjVqkUnjVliVjhVhhVfg\ WdfWafW_eWYdWWcXUcXSbXPaXNaXL`YJ_YHZYFZYCYYAXZ8XZ6\ WZ4VZ2VZ9YYF`YMcYSeYYhXdkXjnXppXmnWkmWhkWfjWchWagW\ ZfWXdWUcVSaVP`VN_VKYVIXVFVVDUVBTVCRTCPRCNPDLODJMDH\ KDGJBHNAHQ8IT7IW6JZ4Ja3Kd2Kg3Ne4Pc5Rb6T`7WZ8YY9_WA\ aUBdTCfRDhPvjOvqMvvKsvJnvHivG_nIQhJMaKNWLORMNMNMKO\ IHQEFL0006EM01M00H007000DswFnwGiwIgwJgwLhwIBtJCrJD\ qJJpJKoKQnKRlKUkKWjLYiLZh } END PARAMETER FILE=========================================

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FOTD 12-10-07 (Depth Without Limit [7.5])
by Jim Muth 12 Oct '07

12 Oct '07

FOTD -- October 12, 2007 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is a very deep zoom into one of the side filaments radiating from the minibrot in yesterday's image, which I found in the eastern part of the basin of attraction of the large minibrot on the negative X-axis of the Mandelbrot set. There is another similar minibrot at the center of today's image, but it is so small that it occupies only one pixel. At the scale of yesterday's image, the entire Mandelbrot set would be about the size of our solar system. At the scale of today's image, it would probably be near the size of the entire visible universe. And this is only the beginning. No wonder I named the image "Depth Without Limit". Unable to decide on a rating of 7 or 8, I rated today's image at a 7-1/2. Since the magnitude is well beyond the limit of fast double-precision math, the image is a rather slow one, finishing in 19 minutes on the fast machine and in about 1-3/4 hours on the slow unit. But relief for boredom is at hand, for I have sent the finished image on ahead to Paul at the FOTD web site, so by the time this discussion hits the internet, the finished image should already be posted, ready for viewing at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The impossibly perfect weather came to an end on Thursday here at Fractal Central when it rained all day and the temperature never rose above 54F 12C. The fractal cats ignored the rain, busying themselves instead by chasing each other up and down the hallway. A fight nearly broke out when Cassie leaped from the side-by-side and landed right in front of Nicholas, but luckily, Nicholas, a true gentleman cat, refused to strike a lady. My day was rather busy. The next FOTD is due to be posted in 24 hours. Until then, take care, and some fractals are only half- infinite, but that doesn't make them any less. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= DepthWithoutLimit { ; time=0:19:00.97-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.74878254143695351379988935110856/0.0\ 13714274845087793359918872878676/2.395274e+028/1/\ 22.5/3.43884642983738331e-013 params=0/0 float=y maxiter=5000 inside=0 periodicity=10 colors=000QhBQgDQgFQgHQzJQzLQzNQzPQgRQzTQgVQgXQgZQ\ g`QgbnfWag`tk`pjamjajibgibdzbahcZhcWgdTgd`RAZTEYVH\ XXKWYNV_QUaTTbWSdZRfaPPTQQUQRVQSVQTWQUWQVXQWXQWYQX\ YZN_WN`TN`QNaNNaKNbHNbENcBNc9NcDM`HLZLKXPJVTISXHQ`\ GOdFMhEJlDHpCFsBDrGHrKLqOOqSSpWWp_ZocbogepMipMiK5H\ L4EM8BN7DO5AP4CQ3ER2GS9LTFJPGSQHUMIWOJYQK_SLaPMcKN\ eGOgCPi8Qk4Rm8TkCVjFWiJYhM_gQ`fUbeXdc`ebcgagi`kj_n\ lZrnYuoXrnYpmYnlYllYjkZhjZejZciZahZ_g_Yg_Wf_Te_Re_\ Pd`Nc`Lb`Jb`Ga`E`aC`aA_a8Za6ZaDa`Jd`Qg`Wi`al_ho_nr\ _tt_qrZoqZloZjnZglZekZbjZ`hZYgYWeYTdYRcYOaYM`YJZYH\ YYFXYGVWGTUGRSHPRHNPHLNHKMFLQELTCMWBMZANa8Nd7Og6Oj\ 7Rh8Tf9VeAXcB_aCa`DcZEeXFhWGjUHlSznRzuPzzNwzMrzKmz\ JcrLUlMQeNR_OSVPRQQQORMLTIJO000AIP05P13K20A300HwzJ\ rzKmzMkzNkzPlzMFwNGuNHtNNsNOrOUqOVoOYnO_mPalPbkPci\ PdhQegQffQgeUPYTRZTSZTT_TU_SV_SW`SX`SYaSZaR_aR`bRa\ bRbcQccQdcQedQfdNeWOfZPga } END PARAMETER FILE=========================================

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FOTD 11-10-07 (Faster than Light [No Rating])
by Jim Muth 11 Oct '07

11 Oct '07

FOTD -- October 11, 2007 (No Rating) Fractal visionaries and enthusiasts: How could I give a fair rating to just another fractal image in the Mandelbrot set? I couldn't. So I let today's image go un-rated. But it's really a rather attractive scene from the eastern environs of the large minibrot on the negative spike. And with its virtually non-existent calculation time of 1-1/2 seconds, it is well worth a glance. In fact, on my fast machine it finishes before the video mode switches. This exceptional calculation speed inspired the name "Faster than Light". Of course, it's impossible for any information- bearing signal to reach a velocity greater than the universal speed limit of light, but fractals are strange things, and I wonder if this limit applies to them. Interesting things might result if it were possible for fractals to exceed the velocity of light. For example, they might go backward in time, and we could see a finished image today that we would not discover until tomorrow. Could fractals possibly go faster than light? Well, fractals are made of numbers, and numbers are human thought processes expressed in symbolic form. We don't know exactly what thought is, but one thing is certain. Thought is not limited by the speed of light. We can imagine ourselves standing on Mars and mentally be there instantly. So maybe fractals in some way actually can move faster than light. But if they can, it is a total mystery what this ability means to us. With its calculation time of 1-1/2 seconds, today's image is one of the rare ones that calculate in less time than it takes to view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> But viewing the image on the web site still saves the hassle of setting up and running the included parameter file. The weather on Wednesday was much more seasonal here at Fractal Central. The high temperature of 75F 24C was still warmer than it should be in mid-October, but far more reasonable than the 91F 33C of the past few days. The indoor fractal cats were more interested in watching the outdoor squirrels gather nuts than in the cooler weather. In my department, the commercial work was wrapped up early, leaving a rather relaxing day. The next FOTD will appear in 24 hours. Until then, take care, and if you take enough care, good things of a fractal nature will eventually come your way. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Faster_than_Light { ; time=0:00:01.37-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.7487825414369\ 3600/+0.01371427484506131/2.048604e+013/1/-80/0 params=0/0 float=y maxiter=1000 inside=0 logmap=195 periodicity=10 mathtolerance=0.05/1 colors=000X4GX4IX6KX8MXAOXCQWESVFWUHWRJYOLWLNZIPaG\ QcFScFUcEWcGYcI_cKacMccOecQgdSieUkfWmgYoh_piaqjcqk\ eqlgqmiqnkrpmqqoprpnsqmtmjsmjsmgrheqharc`pZXoXXnUU\ jRQgPQeMOcKKaIK_GHYDHWBGU9DS6AR40Q20P00O6UzCUzHUzI\ UzIbzIszErrAqj7pc3oW0nP2mN4mM6lL8lKAkJBkIDjHFjGHiF\ JiEKhDMhCOgBQgASf9Tf8Rd7Pb7Oa7M_7LZ7JX7IW7GU7ES7DR\ 7BP7AO78M77L75J74I77K99MABNBDPCFRDHSEFPHDMKCJNAGQ9\ ET7BW68Z45a33cz5bz6bz7bz9azAazBazCazGVzKOzOIzSBzW5\ zY9dZCa`F_aIXcLUdOSfRPgUMiXKj_NhXPgTSeQUdMXbJSbvTa\ sTapUamUajVagVadWaaWa_XaXXaUYaRYaOZaLZaIBwEEuFGsFI\ qFKoFMmFPkGRiGTgGVeGXcGUjKVhJWgJWfIXeIYdHYcHZbGs4F\ mDGhLGcUG_MVZOTZPSZQRZSQZTOZUNZWMZXLZYJZ_IZ`HJlQLm\ PMnONoNPpMQqLRrLTsKUtJVuIXvHYwG8xHByGEzGHzGJzGMzGP\ zGRzGUzGXzGZzMczLhzLmzKrzKvzJzzJzzIzzIzzHzzHzzGzzH\ zzGzzGzzGzzGzzGzzGzzGzzGzz5zz9zzDzzPzzOzzNzzMzzLzz\ KzzJzzIzzHzzTzzPzzLzzHzzD } END PARAMETER FILE=========================================

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FOTD 10-10-07 (The Inner Thrist [5.5])
by Jim Muth 10 Oct '07

10 Oct '07

FOTD -- October 10, 2007 (Rating 5.5) Fractal visionaries and enthusiasts: The name of today's image has a rather unusual origin. On a church bulletin board two blocks from Fractal Central a notice is posted. It reads: 'Only God can quench our inner thrist'. At first glance, all appears to be in order. But being a proof- reader among other things, I noticed that the word 'thirst' is mis-spelled on the board. It is one of the least apparent mis- spellings I have ever seen. I wonder how many parishioners have noticed it. I included the mis-spelling in the name of today's image just for the fun of it. Another mystery is what the name actually has to do with today's fractal, which is a scene on the inside of its parent fractal, which happens to be the same parent that held yesterday's scene. I'll not try to describe the scene's location other than stating that it lies in a field of fractal debris. Due to the work rush I had no time to do a proper coloring of today's image, but it should not be too hard to improve the colors. This inadequate coloring drops the rating to 5.5, and even this might be a bit excessive. The calculation time runs to just over 1 minute on the current fractal fireball computer. On the old fractal snowball the image would finish in about 7 minutes. But nothing can compare to the instant view of the image that can be enjoyed by those who visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A temperature of 90F 32C and hot sun made it feel very summer- like here at Fractal Central on Tuesday. But the un-autumn weather came to a sudden end at 5pm, when a gusty thunder-shower moved in and dropped the temperature to 72F 22C. The fractal cats never worry about weather, as long as they are comfortably situated indoors, that is. My day was busier than average, though still well under control. The next FOTD is not yet under control, but it will be so when it is posted 24 hours from now. Until then, take care, keep your fractals dry, and never forget that a picture of a fractal is not an actual fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Inner_Thrist { ; time=0:01:17.24-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.48718472497610280/-2.225744956798285\ 00/6151.448/1/120/2.31113136267557806e-009 params=0.2/2/-2/-0.5/0/0/0/0 float=y maxiter=1550 inside=0 outside=tdis logmap=48 periodicity=10 colors=000pAXpBWqBVqBUrCTsCRsDQtDPuDOuENvELwEKwFJx\ FIxFHwEGwEGwEGvEFvEFvEFuEFuEEuEEuEEtEEfFobCpZ9qV6r\ O3vQ3tR3sT3rahQdhPggNigMlgKngJoiLpjNqkOrlQsmStnTup\ VvqWwrYxs_yt`zubzvcF4CHCFIJIKRLLYNMdQOlTPsWQzYTxVW\ vTZtQ`sOVcOPPOONWOMbOLiOKpOJwPNtPRrQVpQZnRblRfjSjh\ SnfTrdTvbTz`RwaQtbPrcOodNmeMjfKhfJegIchH`iGZjFWkEU\ kHTiKSgNReQQcTPaWO`ZNZ`MXcLVfKTiJSlIQoHOrGMuFKwEJl\ HMaKORNQGQS6SUBLaGEhL7pQ1wS5uU9sWCqXGoZJm`NkbQicUh\ eYfg`didbjg`lkZnnXprVquUejZV_cKPh9ElEHfIJaNLXRNSWQ\ N_SIdUDhW8j_GkbNmfVniaohZpgXqgUrfSrePseNtdKucIvcFv\ bDwaAxa8y`5z_3z_1oUAeOJWIRMC_C7gLFcTN`aVXibUrjQzqN\ phRg`VZTZQKbHCf84iE8hJBgOEfTHeZKdcNchQbmTarWaRJqTH\ lVFhWEcYC__BV`9Rb7Nd6Ie4Eg39i15j01i27h4Cg5Hf7Mf8Re\ AWdC`cDebFjbGocGmcFmcEmcDKcDKcCKcBqcBqcArc9rc8rc8r\ c7sc6sc5sc5tc4tc3tc3td4re4qe5pf5og5mg6lh6ki6ji7ij7\ gj7fk8el8dl9cm9an9`nA_oAZ } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 09-10-07 (A Virtual Vacuum [8.5])
by Jim Muth 09 Oct '07

09 Oct '07

FOTD -- October 09, 2007 (Rating 8.5) Fractal visionaries and enthusiasts: What happens when 2 parts of Z^(-0.5) are subtracted from 0.2 part of Z^2 and straight C is added? The parent fractal of today's image results. More than anything else, this parent resembles a Mandelbrot set that has been killed and flattened on the road. I will not try to describe the resulting mess, which bears only a vague simi- larity to the un-flattened M-set. But I will comment that it has a large 2-lobed bay filled with only the tiniest bits and pieces of 'outside' stuff. Today's scene is located in one of the denser fields of this stuff. The effect of broad radiating bands was achieved by rendering the image with the 'inside' set to 'bof61'. The only 'outside' elements in the image are the four large warm-red ones surround- ing the invisible-but-really-there minibrot at the center, as well as the scattered bits of salt and pepper. The first name I chose for the image was 'Road-Kill Fractal". But this name brings up too many unpleasant images, so I finally chose the name "A Virtual Vacuum". Since so much of the image, which is not evaporated, consists of 'inside' stuff, the image actually is rather empty, though perhaps not quite a true vacuum. I kind of like the intense contrasts in the image. The rating of an 8.5 must therefore be considered totally justified. The calculation time of 49 seconds is thankfully brief. Equally convenient is a trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the image there. Midsummer weather in mid-October is hardly to be expected, but when the temperature reached 91F 33C on Monday here at Fractal Central, along with haze and high humidity, one might have sworn it was mid-July. The fractal cats never noticed the hot weather as they hogged the cool air during the hottest part of the day. I was too busy to complain about the afternoon heat, but when evening came and the work was finished, I started to grumble. Luckily, the unusually spectacular fractal of the day eased my dis-satisfaction. The next FOTD image will be ready, along with its brief discussion, in about 24 hours. Until then, take care, and when a question cannot possibly be answered, the question is sometimes a meaningless one. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Virtual_Vacuum { ; time=0:00:49.62-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+2.37151777147614800/-0.506331567794958\ 40/1.611897e+007/1/32.5/-5.04488026451949123e-005 params=0.2/2/-2/-0.5/0/0/0/0 float=y maxiter=2500 inside=bof61 periodicity=10 mathtolerance=0.05/1 colors=0005Kc5JdCNfIQhOTjUWl`Znfapldrrgt`XhKMX3CI9\ HJEMHKREPVCV_9_d7dh5`b8XXBTRDPLGLFIH9LE4N3CwijYalc\ VnhNozGqs9rxCnpEjhHfaJbUMZMOVFRR7TO0WL7ZID`FJcCQh9\ Wm6Zr4Uv6PzRKvOKrKKmHKhFKcEKZCKUCKPCLRVMWeMgpMlxMr\ zNexL_wJVvHPuFJtDEsBDUUQLXbB_n2ahQLcl4Vh8NdBF`E7YH\ KSDXMAiG6uA3rF6oK8lOAjTDgXFdaHbeJXdPRcULbZGbcL_gQX\ jVUm_RpUNlPJhJFdEB`GGdIKhKOkJUmI_oHepGkrGqsIZ_KHGI\ JEGLCENACP8AR68T46V24W1TKVq9xoFpmLikQaiWVgaOefGcl9\ aq2XjBScKOXSJQ`FJhipD8le1rmRuroxw4ZG5`J6bL6dO7fQ8h\ T9jWAlYBn`BpbAoeAogAoiAok9nn9np9nrTbcSacR_cQZdPYdO\ WdNVeLSeKRfJQfIPfHOgGNgFMgEKhDJhCIh9PY7WO4bE2i41WL\ GTQVQVhN_iOZiPYiQXjRXjSWjTVkUUVdIWiJXnKYsKheQsTWgd\ jceb`fWYgPUhIRiBOj4Ed34Z3Cc5Jh6Rm8Yr9dwAfuKhtUisck\ rmlqwhrrdsn`tjXufTvbPwZOo`NgaM_cMSdUWWaZOibFpe7lb6\ h_5dX5`U4YS4lGNz4emCYaJQQRIEYA2d3Cf4Lg5Ui6cj7ll8um\ 8vhAvdCv_EwWGwRIwNKwJM5Lb } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 08-10-07 (Zits [7])
by Jim Muth 07 Oct '07

07 Oct '07

FOTD -- October 08, 2007 (Rating 7) Fractal visionaries and enthusiasts: To create today's fractal I mixed 0.000001 part of Z^(-15) with Z^(2), then added (1/C) rather than straight C. The result was another interesting parent fractal with more nooks and crannies than could be explored in a hundred lifetimes. Having only one lifetime, at least under my present name, I will have time to explore only an infinitesimal part of this parent before moving on. Today's image is my go at this particular fractal. This parent is mostly a network of criss-crossing filaments with a few small minibrots scattered about. This filament network shows up quite well with today's color palette when the logmap is turned off and the magnitude set to 0.15. The first thing I checked in the parent fractal was a tiny little blip along the negative X-axis, where, after a rather frustrating search, I found the scene of today's minibrot action. I named the image "Zits" because of its pimply appearance, and also because the word is one of my favorite scrabble words, though all too often the enemy adds a letter 'i' and makes the word 'ziti', to which I then add an 's' and make the word 'zitis'. The rating of a 7 honestly describes how I feel about the image. It's a little better than average, though far from outstanding. And the very brief calculation time of 43 seconds will evoke the impatience of no one. As always, the most convenient way to see the image is to view it on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Perfect weather, with blue skies, hot sun and a temperature of 84F 29C, prevailed here at Fractal Central on Sunday, though with all the perfection we have seen lately, it might be best to call the conditions average. The fractal cats were more con- cerned with the pigeons on the sidewalk than with the weather. I took advantage of the Sunday perfection by doing nothing. Un- fortunately, my idleness will end on Monday, when a sizable job is due in. Unless things get totally out of control, the next FOTD will be posted in 24 hours. Until then, take care, and computers can compute four dimensional objects very well. So why can't we? (It must be a genetic mental block.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Zits { ; time=0:00:43.32-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.55725035034667650/+0.001783147086022\ 90/8.73116e+012/1/95.34/0 params=1/2/1e-006/-15/0/\ 0/0/0 float=y maxiter=425 inside=0 logmap=72 periodicity=10 mathtolerance=0.05/1 colors=0000CL0DN0EQ0EU0DZACcFBhKAmNArPAvQLzM`mIicZ\ rUwzDczFcsIJlJYdMPUOcMPOK`MJRLG4JF0ID0GC0OQ0VY0ad0\ im0pu4xz7zzAzxFxmJuaMrSQoIVl6Yi0af0dJTlPQfTO`YMVaJ\ PfIJzFDzD7zAI_9QS7_L4gD3p61y00z9DzJQvTcrcplmzfxzas\ zXprQlfLiVFdJ9a73Y00V00`04f0Gl6QrCaxJlzPxzVzz`yvdp\ pjgjo`liSodJp_CsV3uP0vL01mu0`m0Of0A`00T00O00F00606\ 00C0070C40P00a00o00z00z00z01z04z06z09z0Cz0Ds3LiCS`\ L_QTdIal7js0sy3lr7dlCYfGS`GPYFMVDJS1sX1v`1xd1yiacv\ zJzvOzgSrTXiF``1dSL`QcXQvSQzPQufAsjCsoDssFsvGrzIrz\ JrzLrzLmzVizcdzl`zuSz`LzIFzG9zG4zF0zF0zD0zD1zJFzPS\ zVcz`VzTOzMFzF6z70z1GzLYzcozvzzzzzzzzzzzzxzyvzvuzs\ rzopzlozipzjpzjrzjrzjszjszjuzjuzjvzjvzjxzjxzjyzjyz\ jvzgszdrzcoz`lzYjzXgzTdzQczP`zMYzJXzITzFQzCPzAFzzP\ zz_zvXzmVzdTzXQrOPzFOz6Mz0SzGXz_`zp_zc_zQ_zDczCfzA\ izAlz9oz7rz7azQMzg7zy1zu0zr0zo0zl0zg6zcFz_PzV_zQgz\ Ozz0uz0mz0fz1_z6Sz9LzDDzG } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 07-10-07 (Whatever Wherever [6])
by Jim Muth 07 Oct '07

07 Oct '07

FOTD -- October 07, 2007 (Rating 6) Fractal visionaries and enthusiasts: I realize that today's FOTD is late. Nothing unexpected took place; I simply decided to have a day of fun instead of work, and as a result I had no time to find a proper FOTD to post at the usual hour. The formula behind today's image adds 1,000,000,000,000,000 times as much Z^(-99) to Z^2 as the formula that created the past 3 days' images. However, the resulting parent fractal still closely resembles the parent of the past 3 days, the main difference being a modest increase in size. Today's scene is located in the East Valley of the small mini- brot on the positive X-axis. I could probably have found a near identical minibrot at the corresponding location in the parent fractal of the past 3 days. I rated the image at a 6, mostly because the past several images have been rather similar, and there *can* be too much of a good thing. The name "Whatever Wherever" must mean something, but if so, I have totally forgotten its meaning. The calculation time of 9-3/4 minutes is slower than the past several images, but still within reason. The fastest way to see the image is to log into the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view it in finished form there without effort. With sunny skies and a temperature of 84F 29C, Saturday was a perfect day here at Fractal Central, which is why F.L. and I decided to take the day off. The fractal cats never enjoy being left alone for the better part of a day, but they endured their isolation stoically. When we returned, their inconvenience was rewarded by a generous serving of tuna. Thr next FOTD will appear in about 12 hours. Until then, take care, and never stop wondering until nothing remains to wonder about. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Whatever_Wherever { ; time=0:09:49.57-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+7.69228057914474/-0.00057047828859809/\ 1.625207e+012/1/36.3338013283574597/0 maxiter=4700 params=1.1/2/1e-015/-99/0/0/0/0 float=y inside=0 logmap=-800 periodicity=10 mathtolerance=0.05/1 colors=000XPSj_OpXKvUHuq7hnIWlTJic6gn4ao3Xo2So1Np0\ Ip0DpECiSCbfCWtCPrFQpHQnJQlLRjNRiPRcUWZY_TacOehIil\ Dmp8qt8jj8ca8XT8QK8JBAGGBELDBPE9UF6ZH4bI1gJYkGMlDX\ lAPm7Dm4Gn1Jn0Mn3Rf8V_DZSHWLMfDRj6Vn0bX4jF9q0DrAHr\ MLrYPriTrtXadaLPf5AjEKdNTcbecincrxczzcchAHI5IB0UB3\ aB6kB8hBBnBDmDHqFKpHOoJRVLVUMYXQU_UQbXNe`JhcGkgCnj\ 9nfEmbJlZOlVTkRYkNbmKgpHlrFpqKkpOgpSboWZo_UncQ`Yd_\ `bZcaYf`Yi_WkXVlUUmRTnORoLQpIPqFOrCPoEQlGRiIRfKScM\ T`OUYQUVSVSUWPWXMYXK_VMXTNUSORQPOPQLNSILTFKUCIV9HW\ 7LV9OUBRTCUSEYRG`RHcQJfPLjOMmNOpMQsMRrNPqOOqPNpQMo\ QLoRKnSJmTImTHlPIkLIjHJiDJh9Jg5Kf1Kf0Kh1Li5MjANlFN\ cKIVUEMcAEm6Lm4Sc3Zc2eP1lK0sG0VFL6mf8md9mcAmaBm`Dm\ ZEmYFmWGmVImTJmSKnQLoPKpQJqRIrSHsTGtUFuVEvWEwWDxXC\ zYBzZAz_9z`8za7zb7zbEz`LzZSzYZzWezVlzTrzSqzTqzUqzV\ qzWqzXqzYqzZqz_qz`qzaqzarz`rz`rz`rz`sz`sz`sz_sz_tz\ _tz_tz_tz_tz_izbZzeOzhZzW } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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The FOTD for October 7 will be late
by Jim Muth 07 Oct '07

07 Oct '07

Fractal visionaries and enthusiasts: Due to a situation within my control, the FOTD for October 07 will be posted about 12 hours late. Check back at that time to admire it. The FOTD for October 08 will appear on schedule at the regular time. Jim Muth

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FOTD 06-10-07 (Iteration Essence [8])
by Jim Muth 06 Oct '07

06 Oct '07

FOTD -- October 06, 2007 (Rating 8) Fractal visionaries and enthusiasts: The fractal part of today's discussion will be a bit short. I found a magazine article this afternoon that got my philosophi- cal juices flowing, and I decided to say my piece at the end of today's fractal discussion. Those who are bored by philosophy should stop reading at the FOTD web-site address. Today's image is from the same parent that gave us the past two days images. Today I checked the right edge of the parent circle, not far from the X-axis. After a rather difficult search, I found a tiny, well-hidden minibrot, which appears at the center of today's image. When calculating the fractal, I used only the default coloring method, with the outside set to equal-iteration bands. The entire color effect was achieved with the Fractint <C> coloring screen. After very little pondering, I named the image "Iteration Essence". It makes little sense, but then neither does modern physics. Since I think the image is notably above average, I rated it at an 8. The calculation time is only 44 seconds. Even on a slow old war- horse unit the image finishes in 4 minutes. But the best way of all to enjoy the image is to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and see it there, already calculated. On the philosophical side, I happened to glance at a copy of 'Scientific American' magazine this afternoon, and found yet another article speculating on how the neurons of the brain produce self-awareness. I merely skimmed the article, but its point appeared to be the same as all the mechanism-of-self- awareness articles I have read. Researchers are still debating how the electrochemical activity of neurons produces consciousness, but there are lots of pretty pictures of brain activity in the article, and some unconvincing hypotheses. Despite the mystery, the researchers claim they are making progress toward a better understanding of the biological and neurological processes involved. When will these 'scientists' get the point? The answer has been staring them in the face for decades. Neurobiology seems stuck in a century-old world view. If something is coming out of some- thing, something must be going in. Even a successfully reproduc- ing species of artificially intelligent computers would need the input of human intelligence to get its ancestors started. The neurons of our brains must have some input, as yet unknown to science, and change it into intelligent self-awareness in much the same manner as the circuits of a television receiver change the incoming encoded electromagnetic energy into the out- put that we see as an intelligent program. How futile it would be to study the activity of the circuitry inside a television receiver for the source of the intelligent program, while being unaware of the electromagnetic input. Enough philosophy. Friday turned out to be another midsummer day in mid-autumn here at Fractal Central, with a temperature of 86F 30C, hot sun and high humidity. The fractal cats again spent the day stretched out under the air-conditioner. My day was satisfactorily busy, the way I wish every day could be. The next FOTD fractal will be posted in 24 hours. Until then, take care, and don't think about thought too much. It's a circular path of pseudo-logic that goes nowhere. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Iteration_Essence { ; time=0:00:44.34-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+4.998518795515808/+0.0006317113811069/\ 2.524967e+009/1/114/0 params=1.1/2/1e-030/-99/0/0/\ 0/0 float=y maxiter=1000 inside=0 logmap=76 periodicity=10 mathtolerance=0.05/1 colors=000u0MK3FyYDuXCqVBlTAhR9dP8_N7WK6SH5ND4JA3F\ 72941420zzhvubrpXnkRjhLfeFba8ZY7VT6RO5NJ4KF4GA3C52\ 8113U0ze52m3zm1RcczWWGOOAGG5z87zZ5zTzmN3LH2EB175`m\ zYhzWczUZzRWzPTpNQcKOUILRGIODGKBDH9AD68A4562234ja3\ gZ3dX3aU3ZS2WQ2TN2QL2NJ1KG1HE1EB1B90870540224sO3mL\ 3hJ2cH2ZF2UD1PA1K8s06u03p32k52f72a91YB1TD1OF0JH0FJ\ 0HM5JO9LRDNTHPWLRYPT`UVbYXeaZge`jiblmdhjeegfbdgZbi\ W_jTXkPVlMSnJPoFNpCKq9Hr6FmBHiFIeKJaOLXTMTXNP`PLeQ\ GiRCnT8rU4vV7sX9pZBm_EjaGgcIddLafNZhPXiOZeO_bNaZNb\ WMdSMePLgLLhIKjEKkBKl8MjAOiBQhDSgETfFUcHVeJWgLWiNX\ kPYmRYoSZqU_rW_sY`t_auaavbYwZ0x2VyWzzTzzQzzMzzJzzG\ zzDzz9zz6zz3zzDzz6zzFzzCzz9zz6zz33zz2zz2zz1zz1zz1z\ z0zz0zzxzzqzzkzzezz_zzUzzOzzIzzCzz6zzMzzazzVzzPzzJ\ zzCzz6zz7zz6zz5zz5zz4zz4zz3zz2zz2zz1zz1zz0zzvzzqzz\ lzzhzzczz_zzVzzRzzMzzIzzDzz9zz4zzfzzbzz_zzXzzUzzRz\ zOzzLzzIzzFzzCzz9zz6zz3zz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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