September 2011 - Fractint - mailman.xmission.com

<Alex>"PI" is a "Predefined Variable"
by Hal Lane 20 Sep '11

20 Sep '11

> ...formula for MandelbrotBC3... > ...in the second line of the formula what is PI? > It hasn't been defined? Is it 'p1' ? Alex, Fractint's 20.4 docs (pg 67) say that "pi" is a "Predefined Variable" whose case is apparently not important: pi (3.14159..., 0.0) - Hal Lane ######################## # hallane(a)earthlink.net ########################

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FOTD 19-09-11 (Primed for Growth [7])
by Jim Muth 20 Sep '11

20 Sep '11

FOTD -- September 19, 2011 (Rating 7) Fractal visionaries and enthusiasts: Today's image is named "Primed for Growth". Don't get excited however. The name refers to the fractal, not the economy, which is stuck in the doldrums and will likely remain there for the foreseeable future. Actually, the fractal has grown as far as is presently possible, so it can hardly be called 'primed for growth'. In fact, the magnitude of the image is already a little beyond the limit of resolution. The parent fractal came about when I iterated the expression Z^(2.15)+C at a level 2 turns up the complex-logarithmic hyperspiral with the 'recip' function applied. This parent appears as a Mandeloid rotated so that its main spike points south. The most notable feature however is a smaller totally cut-off Mandeloid just west of the main one. Today's scene is located deep in the East Valley of this cut-off Mandeloid. The rating of a 7 might be more wishful thinking that actual fractal worth. We have seen many superior images in recent weeks. The calculation time of 2 minutes is a real bargain, so why not run the included parameter file and enjoy the result. Check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> and escape the task of running a parameter file. See the high-definition version at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The traditional FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Today brought a mixture of sun and clouds to Fractal Central. The temperature of 66F 19C was comfortable enough for the fractal cats, who spent an unusual amount of time watching for passing stray cats, none of which ever appeared. The humans had a typical day, which means nothing out of the ordinary happened. The next FOTD will appear in 24 hours, and it most certainly will be an event worth noting. Until then, take care, and if anyone can determine what's wrong with the world, please let me know. My best guess is that there are too many people living on the planet. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Primed_for_Growth { ; time=0:02:09.57-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip logmap=346 center-mag=-0.8880134461033687/+0.1672559185329798\ /4.03156e+012/1/115/0 params=2.15/0/2/0 float=y maxiter=1500 periodicity=6 mathtolerance=0.05/1 colors=000cccH1AK4AN7ARAAUDAYGA`JAdMAgPAkTAnXAr`Au\ dAwhFvjGvkGrkGmlHhmHcmHZgFUaDPWCKQAFK8AE75851345VH\ 8bUBtfIfdPTcWFaa2`_8SZEJIJ_2OpPfPRdMTcJVbGXaEZ`B`_\ 8bZ5dY3aX9_WFYVKWUQUTWSS`PNTNJLKADIA6KA4KA2wU0mb8d\ cGVdOMeVKeSIePGeMEeKLWIRNGYDEc4CeHDfTDgdDfhTelhdmw\ aHmZJdWUW`UAUUPNUbGUptUxmUsfUo_Uk0Ud8UhGUgNUg6neIt\ f2VFGjURjrBg2GlDLzNQxY_wkgYvAGkKciiivenrarnYvjdbt`\ joXrkR1lSHjTWiUkhe4EkR5bhP5giClhIqhOvgdS9WlsVppVsm\ Uwj4GKDWSMk_e3yaNsYfmV52UYNB7oLZk8`TEgXJm`Ptd5uLIx\ XhSnyOYqY`igbaqev7BnLKgZS`l_jEMX_9ukpnomgsk`witKsk\ ZoblkgzGczN`zUXz`WSwVio`hcZmdXqeVvfinceqdateYwfZju\ WrnTN7UXHUfQUpZ0NsIeyOppEnaMtdJLYPebYsTXuXWw`VydWs\ nVwjykwisouRtkbobnkipyestaupYxkDgHMqV7loDpmJskPwi2\ 7W9LZGZaNldC`iHghLmhQtg0xdFyf1y9BzLLzX9iIGoRNu_XdX\ Wl`VsdCXDIfOOpYwqoJja52_`c4taakjcbre4F4HbOyjNSI7VX\ uLFYOVaRjdqyXiz`azdKKBKK6 } 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 18-09-11 (Mired in the Mud [6])
by Jim Muth 18 Sep '11

18 Sep '11

FOTD -- September 18, 2011 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a scene unusually deep in the parent fractal that results when 0.5 negative parts of Z^(-3) are combined with 0.5 negative parts of Z^(+3) on every iteration before straight 'C' is added. The magnitude of over 2*(10^14) is about as far as is possible to go without resorting to arbitrary precision math. The parent fractal appears to be a Mandelbrot set rotated 180 degrees and almost totally filled in. Except for a scattering of tiny cracks, only four open areas remain -- a reasonably normal Mandelbrot set where the large period-2 bud would lie, two twisted M-sets where the two period-3 buds would lie, and where the East Valley area would lie, a Mandelbrot set that appears to have grown an extra large period-2 bud. Today's scene lies deep in the valley that sets off this extra large bud. To me, the image resembles nothing as much as a puddle of bubbling mud with a minibrot floating in the center. The breakdown of math resolution is visible at the sharp-edged band edges, though it is not quite enough to spoil the scene. I named the image "Mired in the Mud". The overall coloring resembles the gray-green colors of the ground in the areas that were flooded here at Fractal Central. It's surely not a very attractive color scheme, but I must draw it as I see it. Such unpleasant colors hold the rating to a 6, which is actually below FOTD average. But they say we must take the bad with the good, so why not take the 22 minutes required to run the parameter file. On the fastest SOTA machines the image will probably finish in much less time. Check the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> without the need to calculate it. The image is available 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/> Today came on with lots of sun here at Fractal Central, and except for a few puffy white decorator clouds, the sun reigned supreme all day. The temperature of 70F 21C could hardly be improved upon. The humans had an uneventful day, which is as much as can be hoped for. The next FOTD, likely an improvement over today's, will be posted in 24 hours. Until then, take care, and could we now be witnessing the start of the decline and fall of the American Empire? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Mired_in_the_Mud { ; time=0:22:22.51-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=+0.00000008953753835/+0.065245723747392\ 53/2.363e+014/1/-71/0 params=-0.5/-3/-0.5/3/0/0/0/0 maxiter=25000 periodicity=6 mathtolerance=0.05/1 colors=000000V0VP0QK0LF0FA0A505KBDJACIABH9BG9AF8AF\ 89E79D78C68B67A57A56955845744634533523422312211101\ 000LSBHN9EI7AE5793341WTMURKeaQeaPdaNd`Ld`Kd_Ic_GcZ\ FcZDcZCbYEbXGbWHbVJbUKbTMbSNaRPaQRaPSaOUaNVaMXaLYY\ P_VTaSXcP_eMcgJgiGjkDnmAmo7ppFhlMeiUYf`VcgY`c`b`cc\ YbeV`fS_hOYiLWkIVlFTnCSoDTmEUlFUkGVjHViIWhJWgKXfLX\ eMYdNYcOZbPZaeOJvD1sC2pC2mC2jB3gB3dB3aA4ZA4WA4T95Q\ 95N95K86H86E86C86GB9JDBNFEQIGUKJXML`POcRQgTTjWVnYY\ q__n`YkaWibVfcTddSaeQZfOXgNUhLSiKPjIMkGKlFHmDFnCCo\ A9p87q74r52r48Zf9YdAXbBWaBV_CUYDTXDTVESTFRSFQQGPPH\ ONHOLINKJMIJLGKKFLJDLJCJHBHFAFE9EC8CB7A96610875764\ 543332111TMHNHDHDAB86543gCjdBgbAe`AbY9`W8YU8WR7TP6\ RN6OK5MI5JG4HD3EB3C929617414202TrAJ_69I37c46Z35U34\ P23K22F11A1050mWpiTleRhbPdZM`WKYSIUPGQLDMHBIE9FA6B\ 747323vNirLfoKdlJaiI_fGXcFV`ETYDQVCORALO9JL8GI7EF6\ CC49937624312t1un0oi0jd0e } 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 17-09-11 (Escape to Nowhere [7.5])
by Jim Muth 18 Sep '11

18 Sep '11

FOTD -- September 17, 2011 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is a scene in the parent fractal that results when 1.5 negative parts of Z^(-5.1) are combined with 5.1 negative parts of Z^(-1.5) before (1/C) is added on every iteration. This parent is a fractal in the shape of a vertical string of three large bays, with a 'fan' extending east from the origin. Today's image is located in a small field of disconnected debris just south of the southernmost large bay. Since the scene of the image is not connected to the main body of the parent fractal, the elements surrounding the central minibrot are also disconnected. These disconnected shards do make a rather attractive scene however, raising the rating of the image to a respectable if not outstanding 7-1/2. I named the image "Escape to Nowhere". The name has a kind of ominous feeling to it that matches the rather somber blue background of the image. The calculation time of a fireball fast 34 seconds assures that any disappointment after running the parameter file will be minor. To avoid the possibility of even a minor disappointment, check the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> and avoid calculation altogether. Check the high definition version at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The classic FOTD web site mat be accessed at: <http://www.Nahee.com/FOTD/> A mix of sun and clouds with a temperature around 64F 18C made today a rather pleasant one here at Fractal Central. But the fractal cats are already becoming impatient for the heat to be turned on. They will have to wait a bit longer however; the season is still summer. The humans took a short antiquing trip during the afternoon, finding nothing of unusual interest. The next FOTD will be posted in 24 hours. Until then, take care, and look alive. You'll have time enough to look dead. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Escape_to_Nowhere { ; time=0:00:34.50-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.07838913653024948/-1.538208956794496\ /9.44489e+011/1/172.5/0 params=-1.5/-5.1/-5.1/-1.5\ /0/0/0/0 float=y maxiter=1500 inside=0 periodicity=6 mathtolerance=0.05/1 colors=000BWGAUF9RE8OC7LB6J92225G84D73A52841520217\ Gn5Cc49U26K13AwHnnEfeC_Y9TP7LH4E827I1WG0TF0RE0PC0M\ B0KA0I90G70D60B509306204102v2Jq1Hl1Fg1Eb1CY1BT19O0\ 7J06E0490340100Y00W00U00T00Q00Q00O00O00L00I00J00I0\ 0H00F00E00C00B009008007005604002001GmlCcb9UT6KJ3A9\ VuLSzJPjHMeFJ_DGVBEQ9BL78F55A3251zi0oW0nS1cO0dL1SH\ 0YE0HA0B70530c2zc1zc1zc1zc1zc1zU1zK1zD1UC1SB1QA0N9\ 0L80J70G60E50B409307204102lBj_8ZO5NC2BmDDjCCgBBeAA\ bAA_99Y88V88S77Q66N66L55I44F44D33A22722511200JbsHZ\ mFVhDScCOZALU8HP6EK5AF37A135U81R70P60M60K50THmXHk_\ HjbHheHfhHdkHcjGaiG`hF_hFZgFYfEXeEWeEVdDUcDTcDSYFT\ SGTNHTHJUBKU6LU8PV9SVAVVCYVD`VEcVGgVHjVImVKpVLsVMv\ VNyVi9Jk7Rm6Zo4fq3nr2vq6wpAwpDwoHwoLwnOwnSwmVwlZwl\ bwkewkiwjmwjpwitwiwwyx0xt3xq5wn7wk9whCveEvbGv_IuXK\ uTNtQPtNRtKTsHVsEYsB_r8ar5cr2elCcfMaaV_WdYQnWLwVKt\ TJqSInQHlPGiNFfMEcLDaJCZI } 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 16-09-11 (A New Seahorse [7])
by Jim Muth 17 Sep '11

17 Sep '11

FOTD -- September 16, 2011 (Rating 7) Fractal visionaries and enthusiasts: Today's image shows a little object I turned up while wandering aimlessly in the depths of Seahorse Valley of the large minibrot on the main spike of the Mandelbrot set. I'm not sure it's proper to refer to fractal patterns as objects, since they have no physical reality and certainly no mass, but then, photons have no mass either and we see them everywhere. (I'll leave it to the erudite physicists to debate whether photons, and all the other sub-atomic 'particles' for that matter, should be considered objects.) I named the image "A New Seahorse" because I've never before seen a similar 'object' in a Seahorse Valley". The rating of a 7 is FOTD average, though with a calculation time of over 96 minutes, the image is over-priced. The calculation time is slow because the image is located quite deep in its parent Seahorse Valley, where the iteration count is very large. Perhaps the most striking feature of the image is its reddish background. I usually prefer deep blue backgrounds, but for some reason the red background of today's image worked well enough, at least for this one fractal. Instead of reminding us of a heaven up there, the image hints at a hell down below. To avoid the cumbersome calculation, view the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> or view the high-definition version at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original web site may be accessed at: <http://www.Nahee.com/FOTD/> Today brought a taste of autumn to Fractal Central at the end of summer. The weather was sunny, but the morning temperature of 43F +6C kept the fractal cats totally in cold-weather mode. The humans, always alert for weather changes, realized that warm weather does not prevail year-round in the temperate zones, and had a few thoughts about preparing for the coming cold and snow. The next FOTD will be posted in 24 hours regardless of the weather. Until next time, take care, and with all the cameras around, when will we get a convincing photograph of a BESA (bug- eyed space alien)? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_New_Seahorse { ; time=1:36:54.91-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.7685296106390\ 0714/9.92063871520498e-5/4.171863e+014 params=0/0 float=y maxiter=500000 bailout=9 colors=00000eihTijVikWilYimZin_ioaipbiqcireisfithi\ uiivjiwlixmiynkdemLXo1Om4Tl7YkAbiCghFlgIqfKugHphFk\ iCfjAak8Xl5Sm3Nm1JtKarJ`pI`nH`mG`kF`iE_L10M20N30O4\ 0P50Q60R70S80T90UA0WC0YF0_I0aL1cO1eR1gU1iX1k_1mb1o\ f1rj1tn1wr1yu1zp2zl2zh2zd3z_3zW3wS4rO4mJ4hF5cB5a75\ _35ZB6ZI7YP7YW8Xb9Xi9WpAWwASj8OZ7KN6HB5LDFTrVRmTPh\ ROcQMZOLUMJPLIKJGFH7vX9lTBbQCUMEKJgKdbI_YHWTFSOEOJ\ CKPuCNnDMgEK`EJVFHOFGHG`0hZ1eX2cV3aU4_S5XQ6VP6TN7R\ L8OK9MIAKGBIEIdFHbFHaFH`FG_FGZFGXFFWFFVFFUFETFERFE\ QFDPFDOFDNFCLFCKFCJFBIFBH9aFA_GAYGBWGBVGBTGCRGCQGf\ zzezzdzzczzbwzauz`sz_qzZozYmzXkzWizVgwUerTdlTbjS`g\ RZfQYcQXaPWZOUXNSUNQRMOQLLPKJOKGNJEMIBLHAKH8JG6IF4\ HE2GD0FC0EB0DA0C90B80A7096085074063052041030020010\ 000000000000000000008x4Bg8DRCf4D`6EV7FQ9FKAGNWPMUO\ LSNLQMKPMJNLJLKIJJHIJHGIGEHFCGCR5DQ6DP6DP7DO7DN8DN\ 8DM9DL9ELAEKAEJBEJBEIBEHC } END PARAMETER FILE=========================================

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FOTD 15-09-11 (The Inns and Outs [6.5])
by Jim Muth 16 Sep '11

16 Sep '11

FOTD -- September 15, 2011 (Rating 6.5) Fractal visionaries and enthusiasts: Today's image lies in the debris-filled radical of a minor bud on the northwest shore line of the large period-2 bud of the Mandelbrot set. The image lies at the extreme limit of the range of conventional math, which makes it a very fast one. In fact, the magnitude is so great that breakdown is already appearing, but due to the low contrast along the band edges, it is not very noticeable. The rating of a 6-1/2 includes a half-point for the coloring, and even this rating might be a bit liberal, considering the small amount of effort I put into the color palette. The name "The Inns and Outs" is a play on words inspired by the filaments in the image that flow into the large magenta areas then flow out again. The calculation time of 13 seconds is about as fast as images get. So if the result of the calculation is disappointing, little time will have been wasted. The official FOTD web site, with the completed image, may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> The image, in high definition, is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original web site, as old as the FOTD itself, may be found at: <http://www.Nahee.com/FOTD/> Heavy clouds and occasional rain made the conditions less than ideal here at Fractal Central today. The temperature of 55F 13C kept the fractal cats in cool weather mode, while the humans, always cool, had an uneventful day. The next in the unending but not eternal series of FOTD's will be posted in 24 hours. Until then, take care, and how many times does the phrase 'could it be' appear in those UFO shows. (IMO, interstellar aliens visiting earth in their interstellar space ships are even less likely than ghosts. Ghosts have never been proved to be impossible. They merely show that there is much to yet be discovered. But the faster-than-light velocities that would be necessary for aliens to travel the galaxy in physical ships within a reasonable time, are known to be impossible. And warp drive, etc., etc., is a great fantasy. Unfortunately, it's just a fantasy.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Inns_and_Outs { ; time=0:00:13.79-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.1724126660170\ 22/+0.1811493728619075/1.936251e+013/1/135/0 params=0/0 float=y maxiter=32767 bailout=9 inside=255 logmap=1268 mathtolerance=0.05/1 colors=000s0Zt0cu1hu2mu3it4gs5gr6eq7dp7an8Wk9Rh9Ld\ AEZF8VK2UU9UcGTmMpmcmlcjkcgjcdidahdZgdWfdTedRdeRce\ RceRceRcfRcfQcfQcfQcfQcgQcgQcgQcgPchPchPchPchPchPc\ iPciOciOciOcjOcjOcjOcjOcjNckNckNckNckNclNclNclNclM\ UmMUmMUmMUmMUmMUnMUnLUnLUnLUoLUoLUoLUoLUoKUpKUpKOp\ KOpKOqKPqKPqJPqJPqJPrJPrJPrJPrJQsIQsIQsIQsIQsIUtIU\ tIUtHUtHUuHUuHUuHUuHUuHUvGUvGUvGUvGUwGUwGUwGSwHTxG\ SwGSwGSwGSwGSwGSwGRwGRvGRvGRvGRvGRvGQvFQvFUvFUuFUu\ FUuFUuFUuFUuFUuFUuFUtFUtFUtEUtEUtzm0zOUEAUENsENsEN\ sENsENsEMsEMsEMrEMrDMrDMrDLrDLrDLrDmUD0qD0qD0qD0qD\ 0qD0qD0qC0qC0pC0pC0pC0pC0pC0pC0pC0oC0oC0oC0oC0oB0o\ B0oB0oB0nB0nB0nB0nB0nB0nB0nB0nB0mB0hB0hA0hA0hA0hA0\ hA0hA0hA0hA0hA0hA0hA0hA0hA0h90h90c90c90c90c90c90c9\ 0c90c90c90c90c90c80c80c80c80c80Z80Z80Z80Z80Z80Z80Z\ 80Z80Z80Z70Z70Z70Z70Z70Z70Z70U70U70U70U70U70U70U60\ U60U60U60U60U60U60U60URRc } END PARAMETER FILE=========================================

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Two Pictures
by Brian Prentice 15 Sep '11

15 Sep '11

Here are two pictures of the same scene from the FOTD for 9/14/11: http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_48a.png http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_48b.png Brian Prentice

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FOTD 14-09-11 (Terminal Iteration [7])
by Jim Muth 14 Sep '11

14 Sep '11

FOTD -- September 14, 2011 (Rating 7) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that is created when 0.9 negative parts of Z^(3.8) are combined with 2.4 negative parts of Z^(1.2) and (1/C) is added. If this seems trite, be informed that the entire expression is a mistake. The exponents were supposed to be equal but negative values. I decided to go with what I had however, instead of taking 10 seconds to calculate the correct parent. This wrong parent fractal consists of a small Mandelbrot set with a disconnected crescent-shaped filament some distance east of it. A tiny M-set lies on this crescent, with today's scene located in the East Valley of this tiny M-set. I suspect that a scene almost identical to today's could be found with a minimum of effort in the standard Mandelbrot set, which adds nothing at all to the worth of today's image. The rating of a 7 means that the image is good enough to qualify for minimum FOTD honors, but that it will never win a prize. The name "Terminal Iteration" can mean anything the most radical fractalist would suppose. The calculation time of 2-1/3 minutes is about average. Since the image is also about average, this seems just about the right length of time. The official FOTD web site with the completed image may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition version of the image is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The classic FOTD site, 14 years old, may be accessed at: <http://www.Nahee.com/FOTD/> A quite pleasant late summer day prevailed here at Fractal Central today. The temperature of 84F 29C and mostly sunny skies brought out the laziness in both man and beast. The fractal cats, who are offended at being called beasts, spent the day taking it easy in the windows with the least sun. The humans just took things as they came. The next FOTD will be posted in 24 hours. Until then, take care, and with many thanks to the Purple Cow: I've never seen a Boltzmann brain, I hope I never see one. But I can tell you anyhow, I'd rather see than be one. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Terminal_Iteration { ; time=0:02:20.28-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=+1.410647617268638/-0.5399341480183459/\ 8.363451e+011/1/-127/0 params=-0.9/3.8/-2.4/1.2/0/\ 0/0/0 float=y maxiter=2500 inside=0 logmap=377 periodicity=6 mathtolerance=0.05/1 colors=000I6AJ8AL9AMAAODAPGARJCTMCVPIWRMYTRZWY`Ybb\ ZfcbmecrfewhhzjjzkkzcpzWtzOyzGzz9zw1zt0yp0voCtoZpo\ YmjWpeVrbTtYRvTRtPPrTPpVOoWOmYOkZMj`MhbLheLffLehJc\ jJbkI`mIZoIZpDWk9Th4Pc0O`0LW0IT0GP08D003000000tjyh\ ZkYP`MGOC8D1010001b40WA0RG0MM0IT0DZ09e03k00r00y00z\ 00y00r00k00e00Z00T00M00G00A004000000000j0Co01t00z0\ 3p00f00Y00O00F006000000000zV0zO0oI0eD0V80J10A0000m\ 00z0Gt0Cm08c03U00M00G00000k0ee0``0WW0RR0MM0II0DD0A\ 806301000000000000tvzGIJtJ8kF4eC1Y80R40J60DCAAPPIc\ ePpvYzzezzWzpRwfMoPIfJDZF9RA3I40A0030000000z0Ay08r\ 06k04f01`00V00O00J00D00800100000000000000000000zm0\ vT0eP0VL0PI0LD0GA0C608303000000000000000z00y00o00j\ 00c00Z00V00O00J00F009004000000000000000z00z00t00o0\ 0h00c00Y03T0AM0AG0IC0P60P10P00Y00e00mC0v90z80z60z3\ 0z1Az0Pz0ez0vz0vz0zz0zz0zz0zz0zz0zz8zz3zz0zz0zvzzv\ zzvzzvzzvzzvzzvzzvzzvzzvz } 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 13-09-11 (A Siegel Connection [8.5])
by Jim Muth 13 Sep '11

13 Sep '11

FOTD -- September 13, 2011 (Rating 8.5) Fractal visionaries and enthusiasts: Today's image in the Mandelbrot set lies within the range of conventional math, yet it rates an 8.5. This shows that the more accessible shallow parts of the M-set are not quite as thoroughly explored as some might assume. The image is located in the debris-filled radical of a remote bud on the northwest shore line of the main bay of the M-set. The name "A Siegel Connection" refers to the resemblance of the basins in the image to the so-called Siegel Disks of the siegel- disk fractals, the Julia sets with a C-value of -0.390541,+-0.586788i. Actually, I am not sure what is so special about Siegel Disk fractals. I assume the corresponding Mandelbrot points of the official Siegel Disks are on the exact edge of the M-set, yet an infinity of other points are also on the edge. Why then should these particular points be so special? As is usually the case with fractional ratings, the extra half- point is a reward for my coloring, which is the greater part of the image. The extremely brief calculation time of 45 seconds can be attributed to the relatively shallow magnitude of 3*(10^11), which is within the range of the high-speed conventional math routine. For the convenience of those who do not calculate fractals, the image is posted already calculated on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> It is posted in high-definition 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/> A near perfect day prevailed here at Fractal Central on Tuesday. The blue skies, puffy clouds, gentle breezes and temperature of 84F 29C were just what the fractal cats ordered. They spent the day in their window, wishing they could go out and be a part of the world. The humans passed the day just being human, which is sometimes not as easy as it appears. The next FOTD will be posted in 24 hours. For all I know, it might make it. Until then, take care, and are fractals animal, vegetable or mineral? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_SiegelConnection { ; time=0:00:45.15-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.3031762780813\ 251/+0.6219200633096369/3.178477e+011/1/72.5/0 params=0/0 float=y maxiter=300000 bailout=9 inside=0 logmap=1442 periodicity=6 colors=000DmdEneIodMpdQqeUrfYshatieukivmmwoqxqtyru\ yquypuypvyowyoxynyymwzmwzmwzrwzvwzzwzzwzzwzzwzzwzz\ wzzzzzzzzzzzzzzzzzvzzrvzmrvhmrchmZchUZcUUZUUWUUTUU\ SUUSUURUURUUQUUQoNhudztfvtgsshpsjlrkirlfrmcqo_qpXp\ qUpsQotNouKovHluKjtNhtQfsSdsVarY_q_YqbWpeUpgPfcLX_\ HNWDDS93O82R82U82X72_72a72d62g62j62l97jCBiFFgIJfKI\ hLIiMHjNHkPGmQGnRGoSFpUFrVEsWEtXEuWHsVKqVNoUQmTTkT\ WiSZgRaeRdcQgaPj_PmYOpWOsUGZV9KWBANDAEEA6FDAFCDFBH\ FBKFANF9RF8UG8YG7`G6cG5gc0mG4nG3qG3tH5sI6sJ7rK9rLA\ qMBqMCpNEpOFoPGoQInRJnSKmSLmQNlOOkNQkLRjJTiIUiGWhF\ XhL`fRcdWfbai`flZloXqrWspSunPwlMyjJziHziGziFziEziD\ zhBzhAzh9zh8zh7zg5zg4zg3zg2zg1vg0rh5mhAhhFchKZhPUh\ UPfSLdQKbOJaNI_LHYJGWIFUGDRECQDBNBAL99J88H67E46D35\ F45H45J44K44M44O43R43T43X42Z42bU2cU1dU1fZ1gZ1hZ2eZ\ 3cZ3aZAaZG`ZM`ZS`ZZ`Zd`Zj`sp`urYntWhvTbwRXoV_gZb`b\ dTfgMjiEnl7rnCsl8pGAoLBnQ } END PARAMETER FILE=========================================

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FOTD 12-09-11 (Circus Time [7.5])
by Jim Muth 13 Sep '11

13 Sep '11

FOTD -- September 12, 2011 (Rating 7.5) Fractal visionaries and enthusiasts: The most recent image, the one for September 10, shows a minibrot very near the cut-off point of the truncated Mandelbrot set that remains when the bailout is set to 2. Today's image shows a minibrot many orders of magnitude smaller and even closer to the cut-off point. In fact, the minibrot is well out of sight. Only the outer fringes of its surrounding pattern are visible. I chose a 'reset' point to add variety. I could rate the image no higher than a 7-1/2. These very deep images are starting to develop a boring similarity, and a new approach must be found to keep the ratings high. I did put a bit of extra effort into the coloring, though the image has such an over-abundance of fine detail that no coloring would be totally satisfactory. The calculation time of 1-1/5 hours is quite slow, especially for an image that rates a mere 7-1/2. Thank goodness for the web sites. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> The high definition version is 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/> The FOTD for September 11 is admittedly late, because this FOTD is, or was, it. But I cured the lateness by renaming the FOTD for the 11th, the FOTD for the 12th. The delay was caused by the 120-pound, 55kg, front door of FC, which jammed shut due to the dampness, and needed work. At latest report, the door was looser, but still quite sticky. Morning clouds gave way to afternoon sun and a temperature of 73F 23C here at Fractal Central on Sunday. The scene was repeated on Monday, much to the pleasure of the fractal cats. The humans found enough things to do to keep them busy on both Sunday and Monday. The next FOTD will be posted in 24 hours. At least it is scheduled to be posted. Check back then to see if it actually appears. Until whenever, take care, and is it true that fractals will dissolve in water but not in carbon-tetrachloride? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Circus_Time { ; time=1:12:30.15-SF5 on P4-2000 reset=2004 type=mandel passes=1 float=y bailout=2 center-mag=-1.414213559000246436257000092131178840\ 044418020153333969/0/3.311132e+050 params=0/0 maxiter=32767 symmetry=xaxis periodicity=6 colors=000KitGmuCqu8uw4ywAtpEnjJjcNeZS_SXXNaRGgPCe\ NBbLB00A00A00B00C00E00F00G00H00J00K00L00N00O00P00R\ 20R20R20S20V20V20V20V20V20W20Y20Y20Z20_20`20a20a20\ b20b30c40c60e70e80gA0gB2iCBjEFlFKjGPiHUjJZmWamYdmX\ gmcjmgnmmommpmmrmmtmmxmpzmuzTzzezzszzzzzszzezzXxzS\ uxOsuNptLmsKjpJgnHemGbjF_iE_gC_eBZcAZb8Z_7ZZ6XS0YV\ 2ZY6__A_bEacHbfLbiPclTemYepafseguiiyngwlguigsggqef\ nbfmaflZfiXegVeeSecPeaOc_LcZKcXHcVFbSEbRBbO8bN7aL4\ aJ2aH0aF0_E0_B0_A0_80ZB0YE0XF0VF0TF3SL6RS8PZBOeENl\ GLpJKtLJxNPzPUzSXzZ_zcbzhezlbyh_xcXv_UuVRsTOqSLpRI\ nPFmODlNBjLBiNBgLBfKBeJBcHBbGBaFB_EBYCBVBBS8BP7BN7\ BK6BH7BF7BE7BB8BA8A76B88BAABACBBEBBFBCHBEJBEKBFNBF\ OBGRBHSBHTCJXCJYCKZCLaCLbCNeCNfCOgCPjCPlCRmCRpCSqA\ TuCSsESqGRpHRmKPlLPjOOiPOfSNeTNcXLbYL__KZaKYcJVeJT\ gHSiHRlGOmGNpFLtFKyEHzEGzCFzCAzB6yCExCLwCSuE_tEgxA\ msEnnHpjLpfPqaTqYYsTasPet } END PARAMETER FILE=========================================

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