December 2010 - Fractint - mailman.xmission.com

Lyapunov...
by Tony (Anthony) Hanmer 06 Jan '11

06 Jan '11

I'm looking for the order number translation for the string bbbbbbaaaaaa to use in Fractint, which produces this Lyapunov fractal: http://commons.wikimedia.org/wiki/File:Lyapunov-fractal.png (It's a famous one, called Zircon City.) Any help? Thanks, Tony Hanmer

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FOTD 31-12-10 (Totally New Aspect [6])
by Jim Muth 31 Dec '10

31 Dec '10

FOTD -- December 31, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image is named "Totally New Aspect", which means it is a totally new aspect of the Mandelbrot set, or more correctly, of the Z^2+C Julibrot. The scene lies near the Seahorse Valley area of the M-set, near a point where a number of heavy arms converge. The image has been stretched and skewed to bring it as close as possible to a recognizable aspect of the M-set. The M-set is a 'connected' object, in one piece. Every minibrot is connected to the main body of the set by an infinitely thin filament, giving the set only one infinitely long and convoluted shore line. Yet in today's image we see ring-like elements that are obviously not connected. Most likely these elements are connected to the main body of the Julibrot somewhere in the fourth dimension, though I am not sure if it has ever been demonstrated whether the Z^2+C Julibrot is or is not connected. The rating of a 6 is adequate for a FOTD, but implies nothing outstanding. The calculation time of 2-2/3 minutes is within reason. The finished image is or soon will be available on the currently active web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> the original web site is located at: <http://www.Nahee.com/FOTD/> though it is not up to date. Thursday brought a mix of sun and clouds to Fractal Central, with a temperature of 39F +4C, which was a virtual repeat of Wednesday. These conditions gave the fractal cats the choice of lying on the shelf in the window, where the warmth of the sun was intermittent, but the view was better, or on the shelf in the hallway, where the warmth was guaranteed, but the view was boring. Nicholas chose the window; Cassie chose the hallway. The humans had a typical day, wrapping up the straggling odds and ends. Actually, today, the 31st, is the end of the first decade of the 21st Century, but in the popular mind, the decade ended a year ago. The next FOTD will be posted in 24 hours. Until then, take care, and the last time I checked, none of the people I know were Boltzmann brains. (I'll have more to say about these hypothetical disembodied brains floating around in outer space sometime in the future.) Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Totally_New_Aspect { ; time=0:02:40.28-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot2 passes=1 float=y center-mag=-0.06323373791458239/+0.152854337845338\ 30/63.53143/86.095/-90/-10.3180927723985381 params=100/0/90/0/-0.7525/0/0.5/0 maxiter=1500 inside=0 periodicity=0 mathtolerance=0.05/1 colors=0002jZ3lY4lX5lX6lW7lV9lVAlUBlTClTDlSElRFlRN\ oQUqP`sOgvNnxMuzMpyLkyKfyJayJXxISxHNxGIxGMuHQsHUqH\ YoHamHejIihImfIqdIubIpaJlaKhaLd`M_`NW`OS_PO_QJ_RFZ\ SBZT7ZT8VV9SWAPXBMYCJZDG_ED`FAaJKVNUPRbIVlCZu6WoAU\ jDSdHQ_KOUOMPRKJVIEYG9`IDaKGaLJaNMaOPaQSaSVbTYbV`b\ WcbYfbZibXj`WkZVlXTmVSnTRoRPpPOqNNrLLsJKtHJuGIsHIr\ HHqIHpIGnJGmJFlKFkKFjKDfPBcT9_Y7Xa5Tf4Qj7ShAUgDWeG\ XdJZbM`aPb`ScZVeYYdWYbVY`UYZGZXF_VF`TEaREcSDeUDfVD\ hWCsjCqiBohBmgAkfAheAedJbcRZaZV_fRZeNZeJZdF_dD_fC_\ gBZhAYiFZfK_cP_`T`ZY`WbaTfaRe`Te_Ve_XeZZdY`dYbdXdd\ WfdWhcVjcUlcUncTpcTqeUpgUpiUpjUplUpnUppUoqUosUouUo\ wUoxUo`wf_wd_wc_vaZv`Zv_ZuYYuXYtVYtUXtTXsRXsQWrOWr\ NWrMVpKUoITnJSmLRlNQkPPjRQiTRhVRhXUi_Xia_icbieeigh\ iikikmjnmjpmjrljtljvljxljzjaqhTifK`dBTbCUaDU`EV_EV\ YFVXGWWGWVHWTIXSIXRJYQKYOKYNLZMMZLMZNNYOOXQPWRRVST\ UUVUVXTWZSY`RYbQZdQMfTAhW } frm:SliceJulibrot2 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 30-12-10 (Fractal Uncertainty [?])
by Jim Muth 30 Dec '10

30 Dec '10

FOTD -- December 30, 2010 (Rating ?) Fractal visionaries and enthusiasts: Today's image has a strange look about it. In fact, the strange look is all the image has going for it. The grainy effect is due to the magnitude of the image being beyond the limit of math- ematical precision. The name "Fractal Uncertainty" expresses this imprecision. The parent fractal was created when I calculated the formula Z^(1.75)+C eleven turns up the complex logarithmic hyperspiral with no function applied. The image could be a troublesome one, since there is no guarantee that the accuracy will fail in exactly the same way on all machines. Since I'm not sure what will result when the parameter file is run on different machines, I could give the image only a rating of a question mark. To be sure of seeing the correct image, I suggest viewing it on the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The traditional FOTD web site may still be accessed at: <http://www.Nahee.com/FOTD/> but it is not yet up to date. The temperature reached 40F 4.5C here at Fractal Central on Wednesday, which was the warmest in almost a month. The fractal cats leaped to their window shelf as soon as the sun reached it, and stayed until the sun moved on several hours later. The humans' day was about average -- dull but peaceful. The next FOTD will be posted in 24 hours. Until then, take care, and maybe we're all merely Boltzmann brains. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= FractalUncertainty { ; time=0:05:24.72-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-1.7800606505427/-0.1605412639414543/\ 1.082816e+013/1/-17.4/0 params=1.75/0/11/0 float=y maxiter=1500 inside=0 mathtolerance=0.05/1 colors=000OESKBNG9JC7E84942zfUbLFJ2_j1Ub1OV1IN0CF0\ 67ELVAFN7AF3570IK0EG0AC078034zQz9cXU005DU00I000qtD\ zz6kZqaSfSLWJEL97ASl8IW59G2Ei1Cc0AY08S07N05H03B015\ 0OUMzKE8A7c`nQOYHGREFVCE_9Dc6Ch4Bl8JjBQiFXhIcgJ271\ jV9lPGnKNoFVqAas5ht0jm6lfCn`IoUNqNTsHZuAdv4ikNWadI\ Sv5KJ9JMFJOKIRQITVHW`HYeH_jIbcJeXJhRKkKKnELq7Ls1Ef\ J7V_0JpFErT9sf4ut0v10g93fG6fN9eVCeaFdhIdoKdqFjsAou\ 5tv0yw4ox8fyCXzFO3A7qCKhAH_8DR6AI46923MbuBJTrsljke\ bcZVWSNOLFGE787uRZfKQTDHz68lbNzQFzD7zE6zC58z4z835z\ 2z41120cG1K80vMUjHOZDIz8Cz46frTYgNPXHHMB8B5LzxFByB\ 8i75V32FVntPejKYaFPSAHJ5z9qfHhZE_SBRL8IE5972rJdR9K\ BHQ9EL7BH58D3581243vY2lS2bM1TH1Jz095TarEJRW`3RV2MQ\ 2IL1DF19Az450ezkLVOTv5Nj4HZ3BN25B17w7zc42K2zDHmAD`\ 7AP56z23zQQ0HH088Cp`FZ5BQ37H2381TOtPLlLIeIFZzCSA9L\ 76Ez375CD4AB399378266144133011rUnOpPIbICQC6D6m1TWO\ fRK_MHUIDODAI96C436WJaSGX } 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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Re: [Fractint] FOTD 29-12-10 (The Life on Vega-E [8])
by Jim Muth 29 Dec '10

29 Dec '10

FOTD -- December 29, 2010 (Rating 8) Fractal visionaries and enthusiasts: Today's image was created by the formula Z^2.01+C. The parent fractal of the image is shaped like a Mandelbrot set with two main stems and a large minibrot on each stem. The scene lies in the East Valley of the large minibrot on the northern stem of the parent, where the stem is infinitely divided. I named the image "The Life on Vega-E", when I imagined what kind of life might exist on a hypothetical fifth planet circling the star Vega. The star Vega is brighter than earth's sun, so I assumed the fifth planet would lie in the habitable zone of the star. Of course, if the type of life involves chemical pro- cesses unknown on earth, the habitable zone might lie somewhere else. The life I conjured up resembles a kind of lumpy sickly-green caterpillar of the earth variety, such as what we see around the edges of today's image. Much smaller caterpillars lie closer to the central minibrot, though these are more difficult to pick out. The rating of an 8 gives me credit for the coloring. The calcu- lation time of one minute will pass in two flashes for those with machines that do not panic at the sight of a command line. Those afflicted with such over-qualified units may view the finished image on the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The other esoteric fractal fanatics will find past images back to April, 1997 on the original FOTD web site at: <http://www.Nahee.com/FOTD/> The site is not up to date however. We had lots of sun here at Fractal Central on Tuesday, but the blustery wind and temperature that hung around freezing made it unpleasant out in the open. The fractal cats, who probably will never be out in the open, were unconcerned with the outside chill. They were quite happy on their shelf in the window when the sun was shining, and on their shelf over the hall radiator when it was not. The human side of things went along according to plan. In fact one job needed no work at all to be done on it. The next FOTD will be posted in 24 hours. Until then, take care, and they say each individual is an ephemeral emergent phenomenon. I guess that answers all the big questions about the meaning of life. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= The_Life_on_Vega-E { ; time=0:01:04.32-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-1.740172267\ 040917/+0.0449669196782342/7.03338e+008/1/-102.5/0 params=0/0/0/0/0/0/0/0/2.01/0 float=y maxiter=2500 inside=0 logmap=240 periodicity=6 colors=0007DY7FZ7HZAJaDMcGQeKVjPZpUdpYjsdpshvtoytr\ zpvzlzwhztdwp`rnXmjYhfYccYZ_YUXYWTYXPYYMYZIY_FYbOd\ eXjhepjnvhltgjrfipegncelbdjabh``f__eYXgWVhUSjTQkRN\ mPLnOJoPMnPPmQSmQUlRXlR_kSbkSdjTgjTjiTliVmgWmfYmdZ\ nc`naan`coZdoYeoWgpVhpTjpSkqQmpPnoNmnMklLhjKdgKacJ\ X_ISWIOSHKPGGMGCJF9HFAIGAIGAHHBGHBGIBHICIJCJJCJJFK\ HIKFLKDOKBRK9UK7XK5_K3aK1`P2_U3ZZ4Yc5Xh6Wm7Wq8XrAY\ sCZsDZtF_uG`uIavJawLbwMcxOcxPHXSGVTFUUETUESVDQVCPW\ BOWBNXALY9KY8JZ8IZ7G_6F_5E`5D`HFXSHTcJQnLMyNJwUIv`\ IufHtmHssHrpKrmNrkQrhTrfWrcZraamZdUWTPUjPRmPPpPMsU\ KuXPk`Ta_XSU`IOd8WbAc`CkZErYFq_KpaOpcToeXogasiewki\ efcYacQYcjUHiWGiYFi_EiaDicCieBhgBhiAhk9hm8ho7hq6zr\ ziqBzpFknJllOljSmhWnf`oddobhp`gpZfqZeqZdrccrccpcen\ cfmhgkhhimjhmkfrlermcvoazp`zqZzrYzsWzoVzlUziTzeRzb\ Qz_PzXOzTNzQLzNKzJJzGIzDHzAGzEFzHEzKDzNCzQBzUAzX9z\ _8zb8ze7zd7zc7zb7zb7za7z` } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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FOTD 28-12-10 (Multiple-Moon Light [8])
by Jim Muth 28 Dec '10

28 Dec '10

FOTD -- December 28, 2010 (Rating 8) Fractal visionaries and enthusiasts: I named today's image "Multiple-Moon Light", implying light from multiple moons. The rating of an 8 might be a little liberal, but what the heck, it's a rather pleasing and peaceful image to meditate upon, so why not give it a rating of 8? The formula behind the peacefulness combines 8 negative parts of Z^(-1.5) with one negative part of Z^(-5.5), then adds (1/C). The resulting parent fractal is a north-south string of large irregular bays, with a cut-off ring just south of the main mass of bays. Today's scene is located in the interior of this cut- off ring. Actually, the image is 'evaporated'. The escape radius of one- googol makes sure that all outside parts have evaporated. The scene consists entirely of 'bof61' inside fill. The calculation time of 33 seconds will pass in a flash for those who run this letter as a parameter file. Others will need to surf electronically down to the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where the finished image will soon be posted. The original web site at: <http://www.Nahee.com/FOTD/> is presently inactive, but will be brought up to date when Paul gets back on his feet. The generous sunshine here at Fractal Central on Monday was nullified by a temperature of 25F +1C and a strong blustery wind from the north. The Sunday evening snow amounted to a whopping trace. The fractal cats, who are indoor cats and never concern themselves with outside conditions, were quite happy all after- noon on their sunny shelf in the window. The humans' day featured getting back into the everyday routine, which took very little effort. The next FOTD will be posted in 24 hours. Until then, take care, and activate your chi energy. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Multiple-MoonLight { ; time=0:00:33.34-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+0.0784946918398598/-2.088888523004933\ /5.5e+009/1/-7.5/0 params=-1/-5.5/-8/-1.5/0/1e+100\ /0/0 maxiter=1500 inside=bof61 sound=off colors=000boIaoJaoJ`oK`oK_pLZpLZpM000YpNXpNXpOWpOW\ pPVpPUpQUpQTpRTpRSpSSpSRpT000SlSShRSeQSaPSYOSVNTRN\ TOMTKLTGKTDJT9IV5JT6IR7IP8IN9ILAIKBHEHQGDHEGQC9HBF\ QACJAGKAELKJc9MOQUc9OQ9QR9RS8SU8UV8VW8WX8XY7Z_7_`7\ `a7bb6cd6de6ef6gg6hh5ij5kkQkl5mm_on6qodroiwpktprwn\ rtmrqlmnjmkimhhmefmbeC_dCYcDZdEZeEZeFZfGZgGZgH_hH_\ iI_iJ_jJ_kK_kL`lL`mM`mM`nN`oO`oOapPaqQaqQarRasRasS\ _tSYtTWuTUuTSvUQvUPwVNwVLxVJxWHyWFyVCzWEyWFyWHxWIx\ WKwWLwWNwWOvWQvWRuXTuXUtXWtXXtXZsX_sXarXbrXdqXeqXf\ q_dmbcidbfgab`duYawWZyXYvXXtXWrYVpYUnYTlZTjZShZRf_\ Qd_Pa_O_`NY`NW`MUaLSaKQaJObIMbHKaJGbHIcGKdFMeDNfCP\ gBRh9Si8Uj7Wm4Zk6Xj7Wi8Vh9UgASfCReDQdEPcFNbGMaHL`J\ K_KIZLHYMGXNFWOEVQGVSIUTKUVMTWOT0QS0SS0UR0WR0YQ0_Q\ 0aP0cP0eO0gO0iN0kN0lM0hM0dM0`M0XM0TL0PL0LL0HL0DL09\ O03L05J06H07E08C09A0A70B50C30D60H80KA0NC0QE0TG0WI0\ Zf0Ef0Fe0Fe0Gd0Gc0Hc0Hb0I } 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 27-12-10 (Repeat Performance [6])
by Jim Muth 26 Dec '10

26 Dec '10

FOTD -- December 27, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's super-fast image rates only a 6. This is because it is the third consecutive image of a minibrot lying in the field of chaos near the shore line of a Mandelbrot bay or bud. Today's scene is located on the western shore line of the period-5 bud on the northwest shore line of the main bay of the Mandelbrot set. The name "Repeat Performance" indicates that today's image is similar to the two most recent FOTD images. It might actually be the best of the three, but 'might be's' carry little weight when rating images. The calculation time of 8 seconds will pass in a flash. Those with non-cooperative machines may see the finished image on the presently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD site may be accessed at: <http://www.Nahee.com/FOTD/> Sunday brought lots of clouds, brisk north winds and a tempera- ture of 27F -3C to Fractal Central. Snow showers moved in just after nightfall, but at post time had amounted to only a dusting. The fractal cats passed the unusually chilly day on their shelf by the heat, exhausted after yesterday's battle with the gift wrappings. The humans' day was spent recovering from yesterday. The next FOTD will be posted in 24 hours. Until then, take care, live to learn and learn to live. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Repeat_Performance { ; time=0:00:08.51-SF5 on P4-2000 reset=2004 type=mandel passes=2 center-mag=-0.5407\ 452833814538/+0.577023247902471/3.5297e+011/1/87.5\ /0 params=0/0 float=y maxiter=15000 inside=0 logmap=-1242 periodicity=6 colors=000PTjQTkRUkSUlSVmTWnUXoVYoWZpX_qY`rZar_bs`\ ctadubdvcfwdhxejyflzfnzeozepzeqzdrzdszdtzcuzcvzcwz\ cxzbyzcPceOagM_rrzrrzrrzwwzuuzrrzrrzrrzrrz0AI08GZ7\ FZ6DY4B039027Y16037057W780980B8WC9VE9VGAVIAVKAULBU\ NBUPCTRCTTCmUDTWDSYDS_ESaERbFRdFRfFRhGQjGzzHQmHPzH\ PqIPsIPtIOqJOoJOmzOkzOiLOgLOeLOcMOaMO_NOYNOWNNUONS\ ONQPNOPNMQNKQNIQNGRNERNCSNASN8SOCPOFNPILPLJQOHQRFR\ UDRXBS_9Sb7Te5Th3Tk1Ui4Ug6Vf8VdAVcCWaEW`GHhaHgaIga\ JgaKgaKfaLfaMf`Me`Ne`Oe`Od`Pd`Qd`Qc`Rc`Sc`Tc`Tb`Ub\ `Vb`Va_Wa_Xa_X`_Y`_Z`__`____`__a__aZ_bZ_cZ_cY_dYZe\ YZeXZfXZgXZhXZhWZiWZjWZjVZkVZlVZlUZmUZnUYnTYoTYpTY\ qTYqSYrSYsSYsRYtRYuRYuQYvQYwQYxRZwQYwQYxQXxQXxQWxQ\ WyQVyQVyQVyQUzQUzPTzPTzPSzPSzPRzPRzPRzPQzPQzPPzPPz\ OOzOOzOOzONzONzOMzOMzOLzOLzOKzOKzNKzNJzNJzNIzNIzNH\ zNHzNGzNGzNGzNFzMFzMEzMEzMDzMDzMDzMCzMCzMBzMBzMAzL\ AzL9zL9zL9zL8zL8zL7zL7zL6 } END PARAMETER FILE=========================================

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FOTD 26-12-10 (Surprise Mandelbrot [7])
by Jim Muth 26 Dec '10

26 Dec '10

FOTD -- December 26, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image is not only late, it is very simple -- another scene on the northwest shore line of the main bay, but this time the main bay of the large minibrot on the main stem of the Mandelbrot set. The scene lies on a filament, just beyond the point where it separates from the main body of chaos. I named the image "Surprise Mandelbrot" because of the elements surrounding the central minibrot, which surprisingly point in toward the center rather than outward. The rating of a 7 is perhaps a bit above what might be expected for a fractal found on a day with so many other things to do. The calculation time of 10 minutes is due to the necessity of using arbitrary precision math, and is slower than I would have preferred. But calculation may be avoided by checking the web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where the finished image will soon be posted. and don't forget the original web site at: <http://www.Nahee.com/FOTD/> Clouds all day and a temperature of freezing kept things subdued here at Fractal Central on Christmas day. The fractal cats were too busy romping in the wrapping paper to notice the outside conditions. The next FOTD will be posted in 10 hours or more. Until then, take care, and relax. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= SurpriseMandelbrot { ; time=0:10:17.80-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.7652273461461\ 26424/0.00851359743301010303/9.468406e+014/1/147.5\ /0 params=0/0 float=y maxiter=5600 bailout=36 inside=0 logmap=-565 periodicity=6 colors=000QAGRAGSAGTAGUAGVAGWAFXAEYADZAC`ABaAAcA9d\ A8fA7g86hE9iJCjOFkTIlYLmcOnhRomUprXpwZrwXtwWvwVwxU\ xxSyzRzzQzzPrrmichc_a_XZXVXTSUQPRMMOJKLFHITEFNBCI9\ AH2CC3E00G00IaVJYZMVaOSeRPhTLkWIzYFz`CzbmzemzgmzjM\ zlmzzczqTzsmzvXzxZzzmzsVzzmzzSzzmzzPMPNIJMEDKA7J61\ L96MCBOFGPHLRKQSNVUQ_VSdXViYYn_`s`bxZarY`lW_gVZaTY\ XSXRQWMPVGOVBQYAS_9Ub8Wd7Yg6_i5al4cn3eq2gs1Kw`JwZI\ wXHwVGwUFuSFsQFqPEoNEmLEkKDiIDgGDeFCcDCaBCzABzDAzG\ 9zI9zL8zN7zQ6zT6zV5zY4z_3zb3ze2zg1zj1zl4zk7zkAzkDz\ kGzkJzkMzkPzkSzkVzkYzk`zkczkfzkizklzkpzOmzPkzQizRg\ zSezTczTazU_zVYzWWzXUzYSzYTzZTzZUzZUzZVz_Vz_Vz_Wz_\ Wz`Xz`Xz`Xz`ZzZ`zYbzWdzVfzThzSjzQlzPnzNpzMrzKtzJvz\ HwzGvzFvzEuzDuzCuzBtzAtzAsz9sz8sz7rz6rz5rz5nz6kz7g\ z8dz9`zAYzBSz9Mz7Gz5Jz9MzCOzFRzJUzMWzPSzWPzaMzgJzm\ GzsJzqLzpOznQzmSzlTziTzfTzcTzaTzZUzWUzTUzRUzOUzLVz\ IVzGVzDVzAVz7Vz5NzCGzI8zO } END PARAMETER FILE=========================================

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FOTD 25-12-10 (Merry Season [7])
by Jim Muth 25 Dec '10

25 Dec '10

FOTD -- December 25, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image is an unpretentious scene deep on the northwest shore line of the main bay of the Mandelbrot set. I have named it "Merry Season" because it covers a multitude of festivals connected with bringing light to the darkest time of the year, the winter solstice. The most celebrated solstice festival in our culture is Christmas, which unfortunately has become more of a marketing opportunity than a celebration of divine salvation. The colors traditionally associated with Christmas are red and green, probably associated with red holly berries. I have given the image a red and green theme in keeping with the seasonal colors. Red and green also remind me of the holly grove back at Old Fractal Central, where the now deceased original fractal cats romped and lurked for almost twenty years. New Fractal Central has but one scrawny holly tree, but that tree is presently covered with a full crop of red berries, which add their share to the feeling of the season. The new fractal cats get their share of action indoors however. The image rates a 7, fair enough for a mere Mandelbrot scene. The calculation time of under 2 seconds is as fast as Santa coming down the chimney. The finished image is or soon will be posted on the current FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And don't forget the original FOTD web site at: <http://www.Nahee.com/FOTD/> which Paul has kept going for over 13 years. While tending to last-minute Christmas details on Friday, I heard a version of 'Oh Come Emanuel' on the radio, with drums and traps beating out a syncopated rhythm in the background. I wondered why the beat had been added to such a simple song. The traditional melody is an old plainchant, which has no rhythm. The only reason for the intrusive beat that I could think of was that over the years the purpose of music has changed from lifting the spirit through melody, to getting the body moving with a catchy beat. (But then again, times keep changing, and I just might be old-fashioned. FL heard nothing intrusive in the arrangement.) The mix of sun and clouds with a temperature just above freezing that we had here at Fractal Central on Friday made the day just about average. The fractal cats enjoyed the sun, and when the sun failed, they went to the heat. The day of the humans was filled with last minute preparations for whatever may come. The next FOTD is due in 24 hours, but if it does not appear until Sunday, do not be surprised. Until whenever, take care, and I don't want to leave the impression that I'm cynical at this time of year. I want to state it outright. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Merry_Season { ; time=0:00:01.92-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.4228394615443\ 275/+0.5720091755518583/4.164996e+011/1/11.5/0 params=0/0 float=y maxiter=15000 inside=0 logmap=266 periodicity=6 mathtolerance=0.05/1 colors=000A1QB3UC6XD8_EAcGCfHEiIGmJIpKKsLOsMPrORrP\ UrQXqR_qSapTfpVhpWkoXooYpoZrn_snatmbvmcxmdzlezlfzl\ bzi_zfWxcTuaQrZMlWJcUFcRCcO9bMA_LBXLCULDULEULFULGU\ LHULIULJULKULLULMULNULOULPULQULRULSULTULUVLVWLWXLX\ YLYZLZ_L_`L`aLabLbbLccLddLeeLgfLifLkhLmjLomLqmLsmL\ umLumLsmLmcJjbIg`HcYG`VFYUEUUCRUBNU9KU8HU7DU5AU46U\ 23U1KUDGUACU78U54U2_U5YU4WU4VU4TU4SU3QU3PU3NU3LU3K\ U2IU2HU2FU2EU1CU1AU19U17U16U04U03U01U0yYzvWzsVzpTz\ nSzkQzhPzfNzcMmcKccJUcHKcGEcEDcDBcBAcA9c87c76c55c4\ 3c22c11cJlcIjcHhcGfcGdcFbbE`aDZ`DX_CWZBUZAShAQh9Oc\ 8Mh8Kh7Iu6Gu5Fu5Du4Bu39u27u25u13u01uFkuAWu5GZyzzzz\ Lzzzzz7zzzzz0zzzzz0zzzzz0zzzzz0zzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzz_zzZzzYzzWzzVzzUzzTzzRzzQzzPzzOzzMzztzztzzuzz\ uzzvzzvzzwzzwzzxzzxzzyzzyzzzzzzzzzzzrzzjzzczzWzzOz\ zHzz9zz2zz4zz5zz6zz7zz8zz } END PARAMETER FILE=========================================

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FOTD 24-12-10 (Light in Darkness [7.5])
by Jim Muth 24 Dec '10

24 Dec '10

FOTD -- December 24, 2010 (Rating 7.5) Fractal visionaries and enthusiasts: Things are rather busy here at Fractal Central as I write this on the evening of the 23rd. The discussion will be short. On the surface, today's image, with its preponderance of dark blues, is a bleak one indeed. But in its depths it holds a minibrot with a warm and shining heart. After a minute of deep thought, I named the image "Light in Darkness". The parent fractal came about when I mixed three negative parts of Z^(-1.3) with one negative part of Z^(-3.3). This parent is obviously a Mandeloid of some sort, though I was unable to make any sense of it. If it actually has a Seahorse Valley and an East Valley, they are quite hard to locate. The rating of a 7-1/2 includes 1/2 point reward to myself for the coloring, which is the major part of the effect of the image. The calculation time of 4-2/3 minutes is within reason. The easiest way to view the image is to truck down to the current FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where the finished image is or soon will be posted. All the past FOTD images are available on the original FOTD web site at: <http://www.Nahee.com/FOTD/> though the site is not up to date. Morning clouds and afternoon sun kept the fractal cats happy on their window shelf here at Fractal Central on Thursday. The temperature of 37F +3C was warmer than we have seen recently, but still chilly. The humans were kept busy with holiday tasks. The next FOTD will be posted in 24 hours. Until then, take care, and be at peace with the powers that be as you try to figure out what this time of year is really all about. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Light_in_Darkness { ; time=0:04:41.17-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=+2.340247772835/-0.41997288768/6.5e+007\ /1/-37.5/0 params=-3/-1.3/-1/-3.3/0/0/0/0 float=y maxiter=5400 inside=0 logmap=-760 periodicity=6 colors=000A0KA0KA0KA0KA0KA0KA0KA0KA0KA0KA0KA0KA0KA\ 0KA0KA0KA0KA0KA0KA0KA0KA0KA0KA0KA0KA0KA2JB4HC6FC8D\ CABCEECFGCHLCIPCJUCKZCLbCMbCO_CPaCQdCRgCSjCTlDUjEU\ iEVhFVgGWeGWdHXcIXbIY`JY_KZZKZYLZWM_VM_UN`TO`ROaQP\ aPYbOcbMYcLSaKScJQaLP`MNZOMYPLPRJVSIUUHTVFKXEQYDQ_\ BF`AGU9EUHBU91MJ3LM4LS6KW7dY8h`AcaBZcCUfEPgFKiHHkI\ GmJGoLGrMFsUFvcExmEzcEzcGycIxUKvPLuPNtPPrORqOSqOUp\ NWpNXpNZoO`oQboScnUenWgnYim_jmalmcnmcokcnjcmicmhel\ gglfikekkdmjcmibmi`mh_ohZqgYsgXufWweVweUwdTwdSwcRu\ cTsbUqbVobXmaYkaZia`gaae`bc`da`e_`fY_zX_zW_zV_zUZz\ TZzSZzRZzQYzPYzOYzOYzQ_zR`zSazUbzVczWdzYezZfz_gzah\ zbizcjzekzflzgmzinzjozkpzlqzmmznjzofzpczq`zrXzsUzt\ RzuNzvKzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzz\ wzzwzzwzzwzzwzzwzzwzzwzzxzzyzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzIzzKzzMzzOzzQzzSzzUzzWz\ zYzz_zzazzczzezzfzzgzzhzz } 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 23-12-10 (Spring Comes Early [7])
by Jim Muth 23 Dec '10

23 Dec '10

FOTD -- December 23, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today (Dec 22) is the first full day of winter in this part of the northern hemisphere, so what could be more appropriate than a screen filled with pink apple blossoms, bringing a hint of the warmth that is yet three months away. I named the preview image "Spring Comes Early". It was created with the iterated expression Z^(-11)+11(1/Z)+C. The parent fractal created by this expression must be seen to be believed. In my opinion, the image is worth an above-average 7, a rating made all the more worthwhile by the fireball calculation time of 27 seconds. Those who run parameter files with difficulty can soon find the finished image on the new FOTD web site maintained by Hal Lane at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original web site at: <http://www.Nahee.com/FOTD/> maintained by Paul Lee is still there, but Paul has not been able to update it for a while. Sun, clouds and a temperature of 34F +1C made Wednesday a rather pleasant day here at Fractal Central. The fractal cats soaked up the sun when it was shining on their window shelf and kept warm on their shelf over the heat when it was not. My day was typically busy for a day three days before Christmas. The next FOTD will be posted in 24 hours. Until then, take care, and if spring and summer are coming soon up here, autumn and winter are coming soon down there. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Spring_Comes_Early { ; time=0:00:27.57-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-1.5378244047/+1.1918257186/199729/1/15\ /0 params=1/-11/11/-1/0/0/0/0 float=y maxiter=767 inside=fmod proximity=0.95 outside=real colors=000zcslapfbj_ceUc_NdUHePAfJ4fEMeHceKteMZONE\ 6OF6MG6LM6JU6Ic8GmDUPNzzX_zzSzmZWcdfJjpGooKinOcmSZ\ lVTkZPfZUaYZYXcUWg`OkgAlm3ldDhWMdNV`EcX5lUAgQFbNKZ\ JPUGTQDQQKOQRMQXKQcIQjGQpEXeCcVAjL8qA6x07v77tE7sL7\ qR7oY7nd7lk7kqN7_KBaHEcFIdCLf9Ph7Si6Oh5Kg4Hg3Df29e\ 16e8AfFEfMIgTMg_QhfUhmYitaiuTlvKowBrw2toDlhNe`YYUg\ RNqKKpMIoOGnPDmRBlS9kU7jVDkUIlUOmTTnTZoScpShqSjiYl\ abmUgoMmqErr6wn_lhWecS_YOUTKNNGHICBD95MpbbhlDQMDPL\ COKCNICMHCLGBKFBJEBIDBHC`Ku_KsZKrZKqYKpXKoXKnWKmWK\ lVKkUKjUKhTKfTKeSKdRKdRKbQKbQKaPK`OK_OKZNKYNKWMKWL\ KULKUKKSKKRJKQIKPIKOHKNHKLGKKFKJFKIEKHEKGDJFCIECHD\ BGC6FB7EA7D97C87B77A679578477376275174073082081080\ 280480680880A80C80E80F80F80F90F90F90E90E90E90E90E9\ 0E9KE9JE9JD9JDAJDAJDAJDAJDAIDAIDAIDAICAICAICAICAHC\ BHCBHCBHCBHCBHBBHBBGBBGBBGBBGBBFBBEBADAACAABAAAAA9\ AA8AA7AA6AA5AA4AA3AA2AA1A } 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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