March 2013 - Fractint - mailman.xmission.com

FOTD 16-03-13 (Into a Magic Land [7.5])
by Jim Muth 16 Mar '13

16 Mar '13

FOTD -- March 16, 2013 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image continues the adventures in the land that is not supposed to exist but has not heard the bad news and exists anyway. The scene of the image is at the pseudo-origin of a minibrot, which is the spot at the center of the main bay of the minibrot. I rated the image at 7-1/2, mostly because of the extra work I put into the coloring. Most of the color palette however was lifted from the FOTD image of March 4. I can say nothing about the number series of the circular elements surrounding the center of the image because I know nothing about the series. The name "Into a Magic Land" is a bit overblown, though in some ways, fractals are quite magical. The calculation time of 3-2/3 minutes is slower than some recent images but still well within reason for today's image. Relief from the calculation chores may be found at: <http://www.crosscanpuzzles.com/Archives.html> with high-definition diversions at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and the back images at: <http://www.Nahee.com/FOTD/> Moderate to heavy snow fell here at Fractal Central today, but the temperature of 34F +1C kept it from building up on the pavements. On the grass however, about 3 inches or 8cm accumulated. The fractal cat spent much of his time watching the pigeons flapping around on the outside window sill. The humans spent the day doing human things. The next FOTD will be posted in the proper time. Until whenever that might be, take care, and if everyone knows how to solve the world's problems, why do the problems still exist?. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Into_a_Magic_Land { ; time=0:03:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=+0.261738445061591/-0.002047573531171/\ 1.060901e+009/1/-5/0 params=0/0/0/0/1/0/1e-100/0 float=y maxiter=3200 inside=0 periodicity=0 colors=000XEHYBIZ9I_6J`8JaAK`CJ_EI_GIZIHYKHYMGXOGW\ QFWSEVUEUUDUUDTUCQUBTUCVUCYUC_UCbUCdUCfUDiUDkUDnUD\ pUDqU8rUDrUHrWLsYPs_Ts`Ysbaqdeogimemkcqiahg__eYScW\ JeUAgSFiQKkOPmMUmKZlIgkGfjEfjFfjGfjGfjHfjIfiJfiKfi\ KfiLfnMfnNfhGAiHAjIAkLAlOAmRAnUApWArZAtbDzjGzqcxzz\ zzzfZOWPPPHQMDQLBMLBRJDSHGSIITKJTMLWOLYQMYSM`UNcVN\ fWOiXPlYRoZUr_Wv`Zya`yc`zd_zfYtdWqeRocMiaId_F`YCXW\ 9TX6SX3SY7SYASZESZIS_MS_PS`TS`XSa`SacSbgSbkSfoQbnS\ ZpTVsVSqWOqXKoZGmcDkh9im5gr2ezNjzRd`UeZXeX_eVbeTeb\ Rh_PkXNnUMlSNjRNiQNgONeNNdMObLO`JO_IOYHORDPXGObJNc\ MMcPLcPKcPIcOHcUGcUFcUDcUCcUBcUAcU8cU7cU6bP5`P3_O2\ YM1XK0YK2ZK3WK1ZL4`L7bLAdOCfVFhVIkUKoUNrUQtUSzWVzY\ Yz__zcXkbVeaS_`QVZOPZLJZJDZG7ZE2ZC4ZF6ZI8ZKAZNCZQD\ ZSFZVHZcJZmLZmLZzMZzM_zNazNYzNUzOPzOLmPNcPPUOPVPQT\ PRRQRPQTNRUMRWKSWISWGTWETXDUYBUZ9VZ7YY2VX6SW9PVCQU\ DRUDSUETSETQFUPFVMGWJGXHH } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 15-03-13 (Minibrot Madness [?])
by Jim Muth 16 Mar '13

16 Mar '13

FOTD -- March 15, 2013 (Rating ?) Fractal visionaries and enthusiasts: Today's image is a variation on a minibrot. I named it "Minibrot Madness" because the minibrot is unlike any I have seen so far in Fractal Land. Actually, the image is a continuation of the recent explorations in the 4-D HyperMandelbrot set created by hypercomplex numbers. The 'stuff' condensing around the edges of the bays and buds of the minibrot is just as much a mystery as the eroded 'stuff' that obscures the minibrot in the image of March 04. It has no right to be there, but there it is anyway, violating all the rules of common-sense math. This 'stuff' is sensitive to the value of the real(p3) and real(p4) parameters. And if the maxiter is increased, the 'stuff' expands and soon fills in the remaining open areas inside the minibrot. The image might be a real fractal; it might be an artifact of math imprecision. But until I find out exactly what is going on with these hyper-images, I will rate them with a question mark. One thing not in doubt is the speed of the parameter file, which on the modern day speed-demons will finish in 45 seconds or less. Of course, the simplest way to see the image is always to check it on one of the FOTD web sites. View the finished image at leisure at: <http://www.crosscanpuzzles.com/Archives.html> And check the high-definition renderings at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The thousands of FOTD back images are at: <http://www.Nahee.com/FOTD/> Clouds and a temperature of 45F +7C prevailed today here at Fractal Central, while the fractal cat prevailed in my favorite chair. The humans simply prevailed, which requires no further elaboration. The next FOTD will be posted in the appropriate time. Until whenever, take care, and they say heaven exists in four- dimensional space. No wonder we can't spot it with our three- dimensional scientific devices. All we can see are 3-D slices. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Minibrot_Madness { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 center-mag=-0.7329986\ 40931621/+0.2212681808037857/4510/1/-158.75/0 params=0/0/0/0/0.135/0/1e-070/0 float=y maxiter=2625 inside=0 logmap=-54 periodicity=0 colors=000mtImtFltDjtAit8gvBcvD_wGWwISxLOxNKxPJtRI\ pSHmTHiUGfVFbXE_YEWZDT_CP`COaEOZFQWHSTIURJVOLWLMYJ\ OZGP`DQbBSd8Tg5Ui3Wj8YkD_lHamMcoQeoVgpZipckqgmrlor\ pqsursyntyktyhuyeuybuyZvyWvyTvyQwyNwyJxyGxyDxyAyy7\ yy4yyEstOmoYgkgafqXboYdmYekYfiYhhZifZjdZlbZmaZn`Uo\ _QoZMpYIpXDqW9qV5rU1rX3qZ5qa6qc8qf9qhBqkDqmEqpGqrH\ qpJrnKrmLrkNrjOrhPrfQreSscTsbUs`VsZXsYYsWZsV_sYWn_\ SjaOecKafGXhCTj8Ol4Kn0Gm3Em6Dm9CmCBmEAmH9mK8lN7lQ6\ lS5lV4lY3l`2lc1le0hb4d_8`XCXUGTRKPPNLMRHJVDGZ9Db5B\ e8AfAAgC9hE9hG8iI8jK7kM7kP6lR6mT5nV5nX4oZ4p`3qb3qX\ 6nS9kNChIFeDHcFJaHL_JMYKOWMQUORSPTQRUOTWMUYKWZIY`G\ ZbE`cCbeAcf8Uk6Lo5Cs43w35t66q87nB8kDAhFBeICbK8eLD`\ MHXMLSMPONTJNXFN`BNaHQbMTcRWdXZeaaffdBJZfegfkfRrqm\ mlfpe_s_TvTNxNKnUIe`FWfDNm89yBEsEJnHNhKSczFJqKLmLO\ iLReMUbMXZN_VNbROeNOhKPkOgYN0UN0UEB0NAAWAKdAUmAanG\ dnMfoRioXkpbmpgpqmrzzzzzz } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 15-03-13 (Minibrot Madness [?])
by Jim Muth 16 Mar '13

16 Mar '13

FOTD -- March 15, 2013 (Rating ?) Fractal visionaries and enthusiasts: Today's image is a variation on a minibrot. I named it "Minibrot Madness" because the minibrot is unlike any I have seen so far in Fractal Land. Actually, the image is a continuation of the recent explorations in the 4-D HyperMandelbrot set created by hypercomplex numbers. The 'stuff' condensing around the edges of the bays and buds of the minibrot is just as much a mystery as the eroded 'stuff' that obscures the minibrot in the image of March 04. It has no right to be there, but there it is anyway, violating all the rules of common-sense math. This 'stuff' is sensitive to the value of the real(p3) and real(p4) parameters. And if the maxiter is increased, the 'stuff' expands and soon fills in the remaining open areas inside the minibrot. The image might be a real fractal; it might be an artifact of math imprecision. But until I find out exactly what is going on with these hyper-images, I will rate them with a question mark. One thing not in doubt is the speed of the parameter file, which on the modern day speed-demons will finish in 45 seconds or less. Of course, the simplest way to see the image is always to check it on one of the FOTD web sites. View the finished image at leisure at: <http://www.crosscanpuzzles.com/Archives.html> And check the high-definition renderings at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The thousands of FOTD back images are at: <http://www.Nahee.com/FOTD/> Clouds and a temperature of 45F +7C prevailed today here at Fractal Central, while the fractal cat prevailed in my favorite chair. The humans simply prevailed, which requires no further elaboration. The next FOTD will be posted in the appropriate time. Until whenever, take care, and they say heaven exists in four- dimensional space. No wonder we can't spot it with our three- dimensional scientific devices. All we can see are 3-D slices. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Minibrot_Madness { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 center-mag=-0.7329986\ 40931621/+0.2212681808037857/4510/1/-158.75/0 params=0/0/0/0/0.135/0/1e-070/0 float=y maxiter=2625 inside=0 logmap=-54 periodicity=0 colors=000mtImtFltDjtAit8gvBcvD_wGWwISxLOxNKxPJtRI\ pSHmTHiUGfVFbXE_YEWZDT_CP`COaEOZFQWHSTIURJVOLWLMYJ\ OZGP`DQbBSd8Tg5Ui3Wj8YkD_lHamMcoQeoVgpZipckqgmrlor\ pqsursyntyktyhuyeuybuyZvyWvyTvyQwyNwyJxyGxyDxyAyy7\ yy4yyEstOmoYgkgafqXboYdmYekYfiYhhZifZjdZlbZmaZn`Uo\ _QoZMpYIpXDqW9qV5rU1rX3qZ5qa6qc8qf9qhBqkDqmEqpGqrH\ qpJrnKrmLrkNrjOrhPrfQreSscTsbUs`VsZXsYYsWZsV_sYWn_\ SjaOecKafGXhCTj8Ol4Kn0Gm3Em6Dm9CmCBmEAmH9mK8lN7lQ6\ lS5lV4lY3l`2lc1le0hb4d_8`XCXUGTRKPPNLMRHJVDGZ9Db5B\ e8AfAAgC9hE9hG8iI8jK7kM7kP6lR6mT5nV5nX4oZ4p`3qb3qX\ 6nS9kNChIFeDHcFJaHL_JMYKOWMQUORSPTQRUOTWMUYKWZIY`G\ ZbE`cCbeAcf8Uk6Lo5Cs43w35t66q87nB8kDAhFBeICbK8eLD`\ MHXMLSMPONTJNXFN`BNaHQbMTcRWdXZeaaffdBJZfegfkfRrqm\ mlfpe_s_TvTNxNKnUIe`FWfDNm89yBEsEJnHNhKSczFJqKLmLO\ iLReMUbMXZN_VNbROeNOhKPkOgYN0UN0UEB0NAAWAKdAUmAanG\ dnMfoRioXkpbmpgpqmrzzzzzz } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 14-03-13 (Hyper Something [?])
by Jim Muth 15 Mar '13

15 Mar '13

FOTD -- March 14, 2013 (Rating ?) Fractal visionaries and enthusiasts: Today's date is 3-14, which makes it international PI day. In two years it will be 3-14-15, which will make it an even more accurate PI day. And in three years it will be 3-14-16, which is the rounded value of PI that I learned in elementary school. In honor of the number PI, today's image has absolutely nothing to do with 3.141592654.... In the last FOTD, I said I was finished with the hypercomplex stuff for a while. I lied. I am becoming so fascinated with the theme that I'll probably continue with it for a number of days. I will give no rating to the images because I have no idea what I am dabbling in. Today's image shows another scene that should not be there. The location is at the center of the main bud of a minibrot in an elephant on the southern shore line of East Valley of the parent HyperMandelbrot set. The eighteen arms are arranged around the center in six groups of three. But the six groups are not identical, with each group having its own particular arrangement of its arms. The name "Hyper Something" indicates that the appearance of the image indicates that it involves hypercomplex numbers, but at the same time I have no idea what the period of the arms means. Regardless of what is going on, the image is a pretty good one, which, if I had given it a rating, would have rated an 8. The calculation time of 40 seconds will pass quickly, leaving ample time to ponder the mathematical mysteries of the image. For even more pondering time, check the completed image at: <http://www.crosscanpuzzles.com/Archives.html> and the high-definition versions at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images are at: <http://www.Nahee.com/FOTD/> Today came on like a day in mid-January here at Fractal Central, with biting winds, scudding clouds and a temperature only a degree or two above freezing. The fractal cat took advantage of the sun while it was shining, and found comfort in my favorite chair when the sun failed him. The humans simply had another day with nothing to report, The next FOTD will be posted in the proper time. Until whenever that might be, take care, and now is the time for action. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Hyper_Something { ; time=0:00:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 center-mag=+0.2536635\ 94488/-0.000352077249/4318949/1/-147.5/0 params=0/0/0/0/1/0/1e-075/0 float=y maxiter=600 inside=0 periodicity=0 colors=000bELdHMeKNfNPhQQiTRjXTl_UmbWneXphYqk_rn`s\ qaondkkfgihcfj_clWanSZpOWrKUtGRvCOx9MzEKuJJpOIkTHf\ YGabFX`JXZMXXPXWSXUVXSZXQaXPdXNgXLjXJnXIqXGtXEwXDz\ XIwSNtOSrJXoFalAej6af8YcAU_CQXEMTGJQHIFdGJhFMkEQnD\ TqCWtLevUowZTBYbSXlhLLrRcunM0iWGedV`mifUjbco_mtYl0\ XpLXsddkf`qopk2fqWM3bQMjUdqH`RNhbSomOJPth2hoWCbYpw\ kkvofvravuyOeo_lekrZijGjXLmcPpjTsqjVIedX`mj3scIunk\ DHc_bgjZapkoxFjwRewa`vmF`oLhrRougm8awR_vbYvm7TaGbi\ Plq7WzEbyKiyRpxhd1bmVyB_qNfjZlcjrht2euHbuW_vj2K1AU\ GIcVQmiI`hKXhLUhQYkV`m_dodgq_YoWOnSElO4kfxFkqGpjGt\ dGnK2iUHecWhc_PKxRKwTKvUKuAAKKlgzzz1So2Tm2Tl2Uj2Ui\ 2Vg2Vf2Vd3Wc3Wa3X`3XZ3YY3YW3YV4`S5cQ5eN6hL7jJ7mG8o\ E9rC9t9Aw7Av5It4Qq4Yn4fj3lg3nd3oa6pZ9qWCrTFrRIqOLq\ LOpIRpFUpDWgM__VbSbfKkiCslFomzzmLznzznR_oTWoWSpZOp\ aKqdGqfDqgbrhcoidmiejjfhjgekhcli`ljZmkWmlUqmTunTxo\ TsZVnJWlMUjPThSSfVQdYPb`O } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 12-03-13 (More Vacuum Energy [7.5])
by Jim Muth 13 Mar '13

13 Mar '13

FOTD -- March 12, 2013 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is another, and probably the last, of the present series of ventures into the world of the four-dimensional HyperMandelbrot set. To create the image I took the image of March 4 and decreased the value of the real(p4) parameter to 1e-170. As a result I found that the number of arms surrounding the center point, which is the pseudo-origin of the underlying minibrot, has increased. I'll make no effort to explain the number of elements around the center, since I have no idea what determines this number. But the number does appear to increase by increments of two as we venture deeper into the apparently limitless center point. The color palette is the same one that appeared in the March 4 image, with a few tweakings to smooth some rough breaks. The rating of 7-1/2 is a bit conservative, but this is the third image based on the same theme, which detracts from its worth. The calculation time of 2-1/2 minutes is a fair price for the image. And as always, the web sites are even more fair. The completed image is posted at: <http://www.crosscanpuzzles.com/Archives.html> Variations are online at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> back images are available at: <http://www.Nahee.com/FOTD/> The day began with rain here at Fractal Central. The rain ended by midday, but the clouds hung on all afternoon. The temperature of 50F 10C was pleasant enough. The fractal cat spent the morning watching the world go by and passed the afternoon wrapped in an afghan and visible as only a lump. The humans passed the day pondering existence. The next FOTD will be posted in a day or two. Until whenever, take care, and let a smile be your umbrella on a rainy day, but don't start complaining when you get wet. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= More_Vacuum_Energy { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 center-mag=+0.2587410\ 516089257/-0.0013438824741138/8.974e+009/1/-162.5/0 params=0/0/0/0/1/0/1e-170/0 float=y maxiter=3200 inside=0 periodicity=0 colors=000QDFSEFUFFWGFYHF_IKaJQcKWbIebGgbEpdFrfGzh\ GziHwjIziJziKziKzkLzkMzmNznOznMznOzmPwmRtmVqnXmo_h\ pccrhZtl_vojxpzpmcfajWSPPLQMGQLEMLERJFSHHSIITKJTML\ WOLYQMYSM`UNcVNfWOiXPlYRoZUr_Wv`Zya`yc`zd_zfYtdWqe\ RocMiaId_F`YCXW9TX6SX3SY7SYASZESZIS_MS_PS`TS`XSa`S\ acSbgSbkSfoQbnSZpTVsVSqWOqXKoZGm_Dk`9ib5gc2edNdbRd\ `UeZXeX_eVbeTebRh_PkXNnUMlSNjRNiQNgONeNNdMObLO`JO_\ IOYHORDPXGObJNcMMcPLcPKcPIcOHcUGcUFcUDcUCcUBcUAcU8\ cU7cU6bU5`U3_U2YU1XU0YU2ZU3WU1ZV4`V7bVAdVCfVFhVIkU\ KmUNoUQqUSsUVuUYwU_qZXkbVeaS_`QVZOPZLJZJDZG7ZE2ZC4\ ZF6ZI8ZKAZNCZQDZSFZVHZYJZ_LZbLZfMZdM_cNaaNY`NU_OPY\ OLXPNVPPUOPVPQTPRRQRPQTNRUMRWKSWISWGTWETXDUYBUZ9VZ\ 7YY2VX6SW9PVCQUDRUDSUETSETQFUPFVMGWJGXHHXEHYBIZ9I_\ 6J`8JaAK`CJ_EI_GIZIHYKHYMGXOGWQFWSEVUEUUDUUDTUCQUB\ TUCVUCYUC_UCbUCdUCfUDiUDkUDnUDpUDqU8rUDrUHrWLsYPs_\ Ts`YC6FE7FG8FI9FKAFMBFOCF } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 11-03-13 (More Heptic Stuff [7.5])
by Jim Muth 11 Mar '13

11 Mar '13

FOTD -- March 11, 1013 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is a scene in the Scepter Valley of the same oversized parent Mandelbrot set that created the March 9th image of two days ago. The overwhelmingly obvious minibrot at the center combines the quadratic elements closer to the minibrot with the heptic (I guess that's the word) elements farther out, to create an entirely new world of high-order images. I named the image "More Heptic Stuff" in the hope that 'heptic' is the right word for Z^7 stuff. (As I see it, the series goes . . . linear, quadratic, cubic, quartic, quintic, hexic, heptic, octic, nonic . . . etc.) The rating of 7-1/2 seems about right while viewing the image, but the rating appears too high when the calculation time of a dragging 20 minutes is considered. Viewing the finished image on one of the FOTD web sites can raise the rating a point or so. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> High-definition renderings are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Back images are at: <http://www.Nahee.com/FOTD/> With near total sunshine and a temperature of 59F 15C, yesterday was infested with spring here at Fractal Central. The fractal cat caught the lazy bug early and stretched on his shelf in the southwest window most of the afternoon to take advantage of the sun, which at this time of the year is as strong on his shelf as it ever gets. Today turned out cloudy but with another quite mild temperature of 55F 13C. The humans had average days both days. The next FOTD will be posted whenever it is. Until then, take care, and I hear from some in the media and also from FL that there is a war against women. But I am uncertain just which group of people is supposed to be waging war against just which group of women. Is it all men against all women, or only right- wing men against left-wing feminists, or is it the entire male- dominated culture itself that is at war against women? I have always assumed there are fewer women in high-paying top executive offices because women have the common sense to avoid the life-shortening dog-eat-dog race to the top, and not because there is a male-created glass ceiling holding back all the aspiring women. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= More_Heptic_Stuff { ; time=0:20:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip passes=1 center-mag=-18.7620116655262/+0.3566079766580704/\ 1.511423e+009/1/-100/0 params=7/15 float=y maxiter=9000 inside=0 logmap=-1600 periodicity=6 colors=000KYDKYDLYDNXCOXCPXBQWBRWASWAUXDWXFXXIZYK_\ YNaYPcYSdZUfZXgZZiZak_cl_fn_ho_j`hiNpi9xiFseLobRj_\ WfXaaUgYRlUOiQLgMIeIFcFCaB9_76Y43Q7II9XABk3Dz4Ew4F\ t4Fr4Go4Hl4Hj9FdED_IBVN9QR7LW5G_3Bd16h01fA4eJ7dS9b\ `CaiF`rH_nLZkPYhTXeWWb_V_cUWgTTjSQnRNrQKvQHyOLxMOw\ KRvJUuHXtF`sDcrCfqAip8lo7oo8kn9hnAenBbnC_mDXmDTmEQ\ mFNlGKlHHlIElIBlLAiN9fQ9cS8`U7YX7VA6A`5Pc5Me4Jg4Gr\ jKngJjeIfcHb`GZZFVXERVECdAEcCGbDIbEKaFM`GO`IQ_JR_K\ TZLVYMXYOZXP`WQbWRdVSeVTp_NzdIwgHtiGqlFnnEkqDhsCev\ BbxA_zAVzARzDMzGKzKIzJHzIFtHEtGDuGRc8TXBVRDXKGZDI`\ 6Lb0NZ4PV7RRATNDVJHXFKZBN`8QaI`bSjcPc`McZJcXGcUDcS\ AcQ7cN4cL1cJ0cO0cT0cY0ca0cf0ck0co5mm9mkDmjHmhLmfPm\ eTmcYmaam`emZimXmmWqmUumSymRnmScmTUmUJmV9mWAmYAmZA\ m`AmaAmcAmdAmfAmgBmhBmjBmkBmmBznBzpBzqBzrLzjVzbdzV\ mzNjzPhzRezTczVazXZzZXz_VzaSzcQzeOzgLziJzkHzlIzkJz\ kKzkLzkMzkNzkOzkPzkQzkRzk } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

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FOTD 09-03-13 (Forever Seven [8])
by Jim Muth 11 Mar '13

11 Mar '13

FOTD -- March 09, 2013 (Rating 8) Fractal visionaries and enthusiasts: Today's image shows that heptic minibrots need not always be the dull high-order things one would presume. The parent fractal is an oversized Mandelbrot set that has been corrupted not very far from its surface with order-7 energies. The scene is in the East Valley area of the parent's large main- stem minibrot, which is already well on the way to becoming an order-7 minibrot. This minibrot's East Valley has already vanished and been replaced by burgeoning order-7 lobes, which are surrounded by loosely connected spirals. These spirals still abound in today's image, which lies rather deep in one of the larger spirals. The rating of an 8 is my estimate of the image's worth. The minibrot really is quite unusual. Foe comparison, try to find as interesting an order-7 minibrot in the straight Z^(7)+C Mandeloid. The name "Forever Seven" indicates that from the magnitude of today's image all the way to infinity the order-7 minibrots will prevail. Check the finished image online at: <http://www.crosscanpuzzles.com/Archives.html> High-definition variations are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and the back images are at: <http://www.Nahee.com/FOTD/> We had a preview of spring here at Fractal Central today when the temperature reached 55F 13C and the sky was horizon-to- horizon blue. The fractal cat stretched to his fullest cat length in the warm sun and was as happy as a cat could be. The humans were a satisfied neutral, which is the usual condition of earth-bound humans. The next FOTD will be posted in about one day. Until then, take care, and how did we ever get into a situation where we must have ever-higher technology if we hope to survive? Can no one see that it's a dead end? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Forever_Seven { ; time=0:02:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip passes=1 center-mag=-26.21766685865878/-0.00673733985958567\ /8.354727e+010/1/-63.45/0 params=7/15 float=y maxiter=1800 inside=0 logmap=238 periodicity=6 colors=000A5cA5eA5fA5gA5hA5iA5jA5kA5mA5nA5oA5pA5qA\ 5rA5sA5qA5oA5mA5kA5i95h85f75d65c55c55c45c45c45c45c\ 45c45c55c65c75c85c95cA5cA5cA5cA5cA5cA5cA5cA5cA5cA5\ cA5cA5dA5eA5eA5dA5cA6bA6aA7`A6Z96W95T84Q84M73K72J6\ 2J63J74K74M85O86Q96S97UA7WA8Y99_89a7Ab6Bd6Af5Ah5Aj\ 4Al3An3Ap2Ar1At1Av0Mx0Oy1Gx2Ix3Mw4Qw5WvA5WA5YA5ZA5\ _A5`A5aA5bWTiTVjRXkOZlM`mJbnHdoFepJdqMdqPcrScrVzrY\ zs`zsczsWzjPzbHzUAzMFzLKzKPzKUzQZzVcz`gzelzjqzpvzu\ zzzWzBazEgzHmzKszMpzPnzRzaTzaVzaXz`_z`aa`c_`eY`gab\ eecdidbmeaqf_ugZxhYwf_wd`vbbv`cuZeuXfuWgtUitSjsQls\ OmrMorKprJqmHlhGhcEc_D_cHafKbiNdlQemRcnSanT`oUZpVY\ pgWqXVrYTrZSs_Qt`PtiNubMvcKvdJqhOmkSinWdq``tdXwhTz\ lOujKpiGkhCfg8af4Xe0Sd3Tf5Uh7Uj9VlBWnDWocXqcYscYuc\ ZwcZxc_wc`vcavcbumctmdtmesmfrzgrzhqzipzjpzkozlnzXz\ zUzzRzzOzzMzzLzzKzzIzzHzzGzzFzzJzzNzzQzzRzzRzzRzzS\ zzSzzSzzSzzRzzRzzRzzRzzRz } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

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FOTD 08-03-13 (Vacuum Energy [8])
by Jim Muth 09 Mar '13

09 Mar '13

FOTD -- March 08, 2013 (Rating 8) Fractal visionaries and enthusiasts: Today's image is an exploration into the detail of the cap over the minibrot that appeared as the 'Translateration' image of March 4. This spurious cap is rather sensitive to parameter changes, most of which I have yet to check. Today's image shows the result of one such change. In it, I increased the exponent of the real(p4) parameter 15 orders of magnitude and checked the chaos the change creates in the minibrot cap. The underlying minibrot lies in the trunk of the period-34 elephant on the south shore line of East Valley of the Mandelbrot set, but this number appears to be totally lost in the image, where the topmost pattern has 8 elements and the next pattern inward has 10. I have named the image "Vacuum Energy". The name indicates that the image overlies the emptiness of the interior of a minibrot, and sometimes, just as in the 'real' physical world, the nothing of a fractal vacuum can be filled with quite a bit of something. The rating of an 8 indicates both mathematical and artistic value. The color palette is a tweaking of the palette I used in the March 4 image. The calculation time of 1 minute, 25 seconds is fast enough. Of course, the web sites are even faster. The big-time business pros will view the finished image at: <http://www.crosscanpuzzles.com/Archives.html> But wait! High-definition variations are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And the back images are stacked at: <http://www.Nahee.com/FOTD/> A mix of sun and clouds with a temperature of 43F +6C made today a typical end-of-winter day here at Fractal Central. With all the talk on the big news outlets of snow in the Northeast, one would think FC was buried. Actually, not a flake has fallen in the past week and the ground is bare, with bulbs already popping up in FL's garden. The fractal cat is unconcerned with snow or flower bulbs. All he wants to do is get into the places where he is not permitted, such as storage closets and the outdoors. The humans, with enough to keep them busy, want little. The next FOTD will be posted in a number of hours. Until whenever, take care, and we will never solve our problems until we fully understand them and have the courage to accept them for what they are. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Vacuum_Energy { ; time=0:01:25.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basic.frm formulaname=HyperMandelbrot2 center-mag=+0.2587410\ 51607766/-0.00134388247424955/4.63764e+010/1/-159/0 params=0/0/0/0/1/0/1e-085/0 float=y maxiter=2700 inside=0 periodicity=0 colors=000E0lF2lG4lH6lI6nK8nM9nOBnQDnSDnUEiXGa_ITb\ JLeJDhJ4kN0nQ0qT0tX0w`0ze0zl1zs6zw_zmYqaVgSJ_GLQ8K\ J1JG0GE0KB1N86N99PDBQGEWJE_NG_QGdTIiVInXJsYLx_OzaT\ zbXzdazfdzidzkbzn_zkXzlOziGsf9kb4d_0YX0RY0QY0Q_0Q_\ 0Qa2Qa9QbGQbLQdRQdYQfdQfiQgpQgwQnzNgzQazRVzVQzXJzY\ Dza6zb1wd0sg0pi0lkIkgOkdTlaYlYblVglRlgOqbLwYIzTGxQ\ ItOIsNIpJIlIIkGJgEJdBJb9J_8JO1LY6JgBIiGGiLEiLDiL9i\ J8iT6iT4iT1iT0iT0iT0iT0iT0iT0gT0dT0bT0_T0YT0_T0aT0\ XT0aV0dV0gV0kV0nV4qV9wTDzTIzTNzTQzTVzT_zTbzaYwgVlf\ QbdNVaJLaEBaB1a60a20a00a40a90aD0aI0aN1aQ4aV8a_BabE\ agEanGakGbiIffI_dITbJL_JEYLIVLLTJLVLNRLOONOLNRIOTG\ OXDQX9QX6RX2RY1T_0Ta0Va0__0VY0QX0LV0NT1OT1QT2RQ2RN\ 4TL4VG6XB6Y88Y28_09a09b0Bd0Bf0Dd0Bb29b69a98_D8_G6Y\ J6XN4XQ2VT2TT1TT1RT0NT0RT0VT0_T0bT0gT0kT0nT1sT1wT1\ zT1zT1zT0zT1zT8zXEz_LzbRzd_zgfzklzpszlzwizsfqpbbl_\ QiXBlT0pQ4sNDwJLzGTC1lD1l } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 07-03-13 (Back to Earth [7.5])
by Jim Muth 07 Mar '13

07 Mar '13

FOTD -- March 07, 2013 (Rating 7.5) Fractal visionaries and enthusiasts: The ship that in yesterday's image was sailing space has foundered. Someone has let the wind out of its solar sails. It is stuck in the intergalactic doldrums, where it will remain forever, a derelict to remind us that our fondest dreams must remain unfulfilled. And despite the technophiles' optimistic pronouncements, technology will never be able to match our ability to dream unfulfillable dreams. Before we will be able to venture peaceably into space, we will need to solve the economic and environmental problems facing us on the surface of our planet. The rest of the world is tired of seeing people in the U.S. and other advanced countries living lives of luxury at their expense. They rightfully demand part of the material action. They claim that it is time for all people in all countries to enjoy lives like we in the West have been living for a century or more. The problem is that it would take at least four planet earths to supply the resources for this to be possible, and it would be politically impossible to squander resources to venture into space until the economic inequalities are solved one way or the other and we are able to live in peace. Since this is not about to happen, we're stuck on earth, where we will continue to dream awesome dreams and watch them pop like bubbles. The time could never be better to turn to fractals for distraction from this harsh reality. Today's image lies in the center of the 'fan' of one of those 'double negative' parent fractals. I rated it a 7-1/2 out of generosity. Most of the color was created by the Fractint program, the DOS program that will not die, and might even outlive the PC it was written to run on. The calculation time of 4-3/4 minutes is slow, but the web sites are still there. The finished image is available online at: <http://www.crosscanpuzzles.com/Archives.html> With hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and thousands of back images at: <http://www.Nahee.com/FOTD/> Today produced a mix of clouds and sun, with more clouds than sun here at Fractal Central. The fractal cat, realizing early that he would have little sun to stretch out in, spent most of the day eating and sleeping, wishing he could have lived back at the Old Fractal Central when it was the one and only official Fractal Central and the old fractal cats (now gone) spent their days outside, watching, chasing and occasionally catching birds and bugs. The humans spent the day feeling down because of what we see on the declining news channels as the declining condition of our culture. As for the next FOTD, it will be posted when the time comes. Until whenever, take care, and what is the evolutionary advantage of the human ability to so vividly imagine so many things that, because of the body's limitations, we will be forever incapable of doing? Jim (what a waste of imagination) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Back_to_Earth { ; time=0:04:45.00 SF5 at 2000MHZ reset=2000 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+2.744488223675127/-0.04951958592821827\ /1.377578e+010/1/-140/0 params=-1/-11/-11/-1.1/0/\ 800/0/0 float=y maxiter=2400 inside=0 logmap=364 periodicity=6 colors=000hCNbJWXQdEKMHC2KSMKUcbUFUfb9RNCUWFXdI_mO\ vqMls79zCJxHTvo14modcjjUfpJjGKf`580DOTFN_SlsQSTB`V\ czUhRh`VmTZq9n_DjgHfnPqONid6G`BOgGWndwqYpsRitP_MNa\ ci1BcBNXKZRUj557EHOISd16hBNoyfwddv`IHXNRTTaPYkavYT\ liscTjc_abgTbnhp4`kMTfc_e2SzUm37oZmS_cQ`iNao60oBDq\ GQshsorM7aVXk10dBFYKTRUgZG3UOMPWctCHAEHDKRGRaJNka8\ ychzq`f`an9JmVX5G5SA4OGDiOJhVOgbUfiJMo82XUAEnHCjSA\ gb7cm5_xB`wThvGaz8es00FcJYYQeRXmNL4MQIMUVLZhDYUH`g\ rEUrLCaUZqD9iKL`QYTXiQXYN_iBLzGUwA1GJE_KRjoRTgU__X\ gS_nFphX3CTFSPRf18rBOt`KwFa3HbMJbciCYbJcXQiRXoIknK\ fr57zDYvRbdObmPHZNK0y8ykJwYTvETVHPcJelcFrXNsRbzLH9\ LPQcIexUDFviIlosHoaSrzc3zdHzeVcahVUiRUmOUq6jLAkUEl\ cImlknddohYpmRqq6rCBsSGtf_uUWv`SwgOxnsymgzpWzslzye\ zxZzwSzvez1VzULz`LzgLzn6zrkzIYzaeztVzuczhczkczoczr\ czsmztmzumzEmzTmzgzzWzzIzzVzzczzlzzDzz2zzUzzCzzZzz\ KzzXzzizzYzzezzmzzuzzuzzu } 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 06-03-13 (Ship of Space [8])
by Jim Muth 07 Mar '13

07 Mar '13

FOTD -- March 06, 2013 (Rating 8) Fractal visionaries and enthusiasts: A ship that sails on the stellar winds of space -- how romantic. A fractal ship that sails abstract mathematical hyperspace on the winds of numbers -- well, maybe not quite as romantic, but a lot more real than space ships will ever be. Today's image shows a fractal ship plowing through four- dimensional space on its way to who knows where. I named it "Ship of Space" when I luckily turned the original image, which looked nothing like a ship, upside down before discarding it. The formula, MandelbrotBC2, is an early version of the MandelbrotBC3 formula. I like to bring up the old formulas now and then to see what I can do with them. The calculation time of 1-1/2 minutes is a fair price for the scene. And luckily, the FOTD web site problem has been solved for good (I hope) and the image is posted there. The finished images are once again being posted to the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> High-definition variations are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images are at: <http://www.Nahee.com/FOTD/> Lots of clouds darkened the skies here at Fractal Central today, while the temperature held around a quite reasonable 43F +6C. The fractal cat, now into the 'senior cat' group, spent the day sleeping on his high bookcase. The humans passed the day doing lots of human and a few inhuman things. The next FOTD will most likely be posted in 24 hours. Until whenever, take care, and we will never get any significant part of our energy from things like solar panels and wind turbines for the same reason that we stopped using wind to propel our large sea-going ships. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Ship_of_Space { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.6537202144440802/+0.4582235896757069\ /14661.82/1/-149.4/0 params=1.5/0/-1.5/0 float=y maxiter=1000 inside=0 outside=fmod periodicity=6 colors=000OdDSfEXiG`lIdoKiqLmtNqwPvzRuwRstRqqSomSm\ jTkgTicTg`UeYUcVVaRV_OVYLWWHWUEXSBXQ7YQ7XQ7WP7UP7T\ P7SO7QO7PN7ON7MN7LM7KM7IM7HL7GL7EK7DK7CK7AJ79J78J7\ 6I75I74H72Aw3X2yILlHNjGPhFRfEUdDWbCY`B_ZAbX9dV8fT7\ iQ7hQ7gP8fO8eO9dN9cM9bLAaLA`KB_JBZICYICXHCWGDVFDUF\ ETEESDFQCGQCIQDJQDLQEMQFOQFPQGRPHSPHUPIVPJXPJYPK_P\ L`PLbOMcONeONfOOhOPiOPkOQmNRmORlQRkSRkTRjVRiXSiZSh\ _SgaSgcSfeSefTdhTdjTclTbmTboTaqU`sU`tU_vUZxUYzVZxV\ `vUbtUcrTepSgnSilRjjQlhQnfPpdOpeMpgKpiIokGomEooCoq\ Ans8nu6nw4my2ku6ipAflEdgJacN_ZRXUWXUUXUSXVQXVOWWMW\ WKWXIWXGWYEVYCVZAVZ8V_6V_4U`2U`4U`6U_8V_AVZCVZEWYG\ WYIWYKXXMXXOXWQYWSYVUYVWZUYXSWVQUTNSRLQPJOMGMKEKIC\ IG9GE7EC5C92AU2Nn1_`y`hygqxzzwzwvzttzqrznpzkozhmwe\ kubis_grXfrUdqRbqO`pL_pIYoFWoCUn9UmEWhJ_cPdZUhUZlP\ dmK`nPWkUSgZNccJ`hEYmEVmDTmDRmCPmBNnBLnAJn9Hn9Fn8D\ o7Bo78o50K50K50K50K50K50K } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-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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