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FOTD 21-05-13 (The Littlest Angle [M-6,A-6])
by Jim Muth 22 May '13

22 May '13

FOTD -- May 21, 2013 (Rating M-6,A-6) Fractal visionaries and enthusiasts: Today's image is named "The Littlest Angle", not "The Littlest Angel", which is a Christmas story. I gave it this name because when I first saw the fractal object, it resembled a tiny angel, but when I zoomed in, it turned into the curious angular pattern in the image. The scene was created by the HyperMandelbrot2 formula, though it could just as easily have been created by the hard-coded 'manzpwr' formula. The location is on the X-axis, on the western edge of Seahorse Valley of the parent HyperMandelbrot set, which has begun to collapse into the X-axis. Typical 4-D overlapping and blending fills the scene, the features with the lower iteration count always prevailing. The whole image rates a 6 for both mathematical and artistic worth. Actually, the artistic value could have been raised a point or so if I had replaced the sickly green outer regions with a healthier hue. Perhaps the best feature on the image is its very brief calculation time of 45 seconds. The web sites can cut this time even more. Enrich your life by viewing the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> and the high-resolution variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Scads of the older FOTD images are online at: <http://www.Nahee.com/FOTD/> Lots of sun prevailed all morning here at Fractal Central, leading to a sunny afternoon with a temperature of 90F 32C, which was quite warm enough to please the fractal cat, who kept busy watching for stray cats. In the human department, the most exciting event came in the morning when two aspiring tomcats got into a fight in the back yard. The next FOTD will be posted when the time is right, which means at any time more than 20 hours from now. Until whenever, take care, and there has been another disaster. I wonder why, in times of such disasters, people pray for help to the same power that sent the disaster or could easily have prevented it, but decided instead to sit on its divine butt and blithely watch its so-called beloved children suffer. I guess we feel it's necessary to keep the faith even when it makes no rational sense. But we surely do admit our ignorance and confusion when we lamely state that God works in mysterious ways. As I see it, something must be very wrong with our popular image of God. When I get to the divine throne to be judged, I'll bring a good defense lawyer and have lots of questions to ask the judge! BTW, Despite all this, I am a confirmed believer. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Littlest_Angle { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 center-mag=-0.751204809666/0/1050025/1/90/0 params=0/0/0/0/0/0/0.03/0 float=y maxiter=1750 inside=255 logmap=218 periodicity=0 colors=0001902A03C04E06G08I0AK0CM0EO0GQ0IS0KU0IW0H\ Y0G_0Ea0Dc0Ce0Ag09h28h5Ag9BfCDeFEdIGcLHaOJ`RK_UMZX\ NY_PWbQVeSUhTTkVSnWRqTUmRUiOUeMUbJUZHUVEUSCUO9UK7U\ H4UD2U90U66UBCUGIUKOUPUUT_UY`UbaUfbUkcUocUmcUkcUic\ UhcUfcUqcUmcUicUecUacUXcUTcUPcULcUHcUDcUFcUHcUIcUK\ eVMgWNiXRkYUmZYo_`q`cs`fs`isakobhkeehibdj_aja_jcYj\ hWjmVlrTnvXpzYrzZtw_vr`xoaymWvhQseKpaEmZ8jV2gS5dT7\ aUAZVCWVFTWHQXKNXMKYOHZREZTB_W8`Y5``3ab2bd1bi9enGg\ sNjxUlwWnvXouZpu_qtarsbssctobolbjhbeeaaaaXZaSV`OS`\ JO`EL`AMaDMaFMbHMbJMbLMcNMcPMdRMdTMdVOaRPZNQXJSUFT\ RBUP8PN6KM5GK4BJ37I2CM6HQ9LUDQYGVaKZeNUPRP8VM7SK6Q\ I5OG4ME4KB3H92F71D50B30945A59A5DA6HB7LB7PB8TB9YC9a\ CAeCBiDBmDCqDCuDdvFctLcrQcpVcn_cldcjichnmndvtVuiWt\ ZWsPWrEWq4Wo7UnASlDQkGOjJMhMKgPIfSGdVEcYCb`A`c8_f6\ Zh4_f5_d6_c6`a7`_8`Z8aX9aVAaUAbSBbQCbPCZTDWXES_FPc\ GLfHIjIFmIHjGIgFJeDKbCL`B } 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 19-05-13 (Patterns in a Void [M-8,A-6])
by Jim Muth 19 May '13

19 May '13

FOTD -- May 19, 2013 (Rating M-8,A-6) Fractal visionaries and enthusiasts: Today's image highlights one of the mystery buds of the 4-D HyperMandelbrot set. But the mystery bud is not the reason I posted the image. The most striking part of the scene is the fine display of moire patterns filling the bud. And this pattern will change with every change, however small, of overall image size, resolution or magnitude. 0+0i is the critical starting point of the 2-D Mandelbrot set, so I assume 0+0i+0j+0k would be the critical starting point of the 4-D HyperMandelbrot set. At the same time, I have no idea what the perturbed Hyper-sets might look like. Today's scene might be critical, it might be perturbed. One thing for sure is that much more exploration needs to be done. The name "Patterns in a Void" refers to the Moire patterns filling the open area of the bud. The math interest rates a very respectable 8, the artistic value however is worth no more than a humdrum 6. I leave it to the individual fractalist to decide whether the image is worth the quarter hour required to calculate it. If the decision is negative, the web sites are there to bring relief. The finished image is posted on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> High-definition variations are online at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Back images are available at: <http://www.Nahee.com/FOTD/> Heavy clouds, (stratocumulus for the weather-wise), prevailed all day yesterday and today here at Fractal Central, though no rain fell. Because of the high humidity, the temperature of 66F 19C felt just about right. The fractal cat had an active day, often dashing up and down the hallway as though chasing or being chased by an invisible cat. The humans had a slow day, which is boring to read about but was relaxing to experience. The next FOTD will be posted soon. Until soon arrives, take care, and in June 1976 I spent two days in Seattle. On both days the weather was sunny and quite warm, proving that despite its reputation of being a cloudy and rainy city, Seattle is a sunny and warm city. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Patterns_in_a_Void { ; time=0:15:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 float=y center-mag=-0.010735/0.113631/41 maxiter=12000 params=0/0/0/0/0/11/1e-111/1e-111 inside=0 logmap=-590 periodicity=0 colors=000r6Sr6Sr6Sr6Tr6Tr6Tq6Tr6Us6Us6Ut6Uu6Uv6Vv\ 6Vw6Vx6Vx6Vw7Uw7Uv8Uv8Tv8Tu9Tu9SuAStAStARtBRsBRsBQ\ sCQrCQrDPrDPqDPqEPqEOpFOpFOpFNoGNoGNoGMnHMnHMnILmI\ LmILmJKlJKlJKlKJkKJkLJkLJjLIjMIiMIiNHiNHhNHhOGhOGg\ OGgPFgPFfQFfQEfQEeREeRDeRDdSDdSDdTCcTCcTCcUBbUBbVB\ bVAaVAaWAaW9`W9`X9`X8_Y8_Y8_Y7ZZ7ZZ7ZZ7__8__9__9_`\ A_`A_`B_`B_aC`aC`aD`aD`bE`bE`bF`cF`cGacGacHadHadIa\ dJadJaeKaeKbeLbeLbfMbfMbfNbgNbgObgOcgPchPchQchQchR\ ciRciSciTdiTdjUdjUdjVdkVdkWdkWdkXelXelYelYelZemZem\ _em_en`fn`fnafnbfobfocfocfodfpdgpegpegpfgqfgqggqgg\ rhgrhhrihrihsjhsjhskhslhtlhtmitmitniuniuoiuoivpivp\ ivqjvqjwrjwrjwsjwsjxtjxtjxulzvkyukzujzvjzwjzxizyiz\ zizzhzzhzzhzzgzzgzzgzzfzzfzzfzzezzezzezzdzzdzzdzzc\ zzczzczzbzzbzzbzzazzazzazz`zz`zz`zz_zz_zz_zzZzzZzz\ ZzzYzzYzzYzzXzzXzzXzzWzzWzzWzzVzzVzzVzzUzzUzzTzzTz\ zTzzSzzSzzSzzRzzRzzRzzQzz } 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 17-05-13 (The Parent Unleashed [M-4,A-6])
by Jim Muth 19 May '13

19 May '13

FOTD -- May 17, 2013 (Rating M-4,A-6) Fractal visionaries and enthusiasts: Today's image is not a scene in a parent fractal; it is the parent itself. This parent came to be when I checked to see what would happen when the formula Z^(1.237)+C is iterated 14 levels up the hyperladder. What happened was hardly overwhelming, but when rendered with the inside set to bof60 and the outside set to tdis, it was interesting enough to rate a 4 for math value and a 6 for artistic value. The name "The Parent Unleashed" is intentional hyperbole, but it might get a few reluctant fractalists to check the implied wild-animal ferocity in the image. The running time of the parameter file is 1-3/4 minutes, which is about average, but setting up and running a parameter file is far more complicated than checking the FOTD web sites, where the image is already rendered. Check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> and the high-definition renderings at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Back images may be accessed at: <http://www.Nahee.com/FOTD/> Today brought ample sun along with a fine display of cirrus clouds and a temperature of 68F 20C to Fractal Central. The fractal cat, now nearing senior cat status, slept through most of it, while the humans busied themselves with human things. There will be no FOTD for May 18; the next FOTD will be posted most likely on the 19th. Until whenever, take care, and a lot of people are being injured by . . . so let's pass a law to ban . . . (fill in the blanks) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= TheParentUnleashed { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=floor passes=1 center-mag=-0.590338/-0.280652/0.6230116/1/-12.5/0 params=1.237/0/14/0 float=y maxiter=1150 inside=bof60 outside=tdis colors=000G0XRKgVUhYci_ihanhcigecggZfiWfkSemPeoNdq\ RdsUcuXcw_bzcbzg_zlYzl_zneznjzppzrvzvzzzzzzzzzzgDB\ gDBgDBgDBhCBhCBhCBhCBhCBgBAfBAeB9dB9cB9bA8aA8`A8_A\ 7ZA7Y96X96W96V95U95T85S84R84Q84P83O73N72M72L72K71J\ 61I61H60G60F60LE1RL2XS3bZ3he4nl5ts6yz6wxAuvDstGqrK\ opNmoQnnRonRpnRqnRrnRsnRtnRunRvnRwnRxnRynRynRxoSxo\ SxpSxpSwpSwqSwqSwqTvrTvrTvrTvsTvsTutTutUutUuuUtuUt\ uUtvUtvUtvUirSZnQOjODfMEeOFePFdRGdSGdUHcVHcXIcYIbZ\ Jb`JaaKacKadL`fL`gM`iM_jN_kNZmOZnOZpPYqPYsQYtQXvRX\ wRXxSZwS`wSbwTcwTewTgwThwUjwUlwUnwVowVqwVswVtwXpxY\ mx_ix`fxbcyc_yeXyfUygTxgTxgTxgTwhTwhSwhSvhSvhSviSu\ iSuiRuiRtiRtjRtjRsjQsjQskQrkQrkQrkQqkPqlPqlPplPplP\ plPpmNomLnnJmnHlnFkoDjoBioAimCgkEejGdhIbfKaeM_cNYa\ PX`RVZTUXVSWXRUYPS_NRaMPcKNeJMgHKiGIjEHlCFnBDp9Cr8\ At69u5Ds6Hq6Lo6Pm6Tk6Wj6_h7cf7gd7kb7o`7r_7tZ6eFBeF\ BeFBeFBeFBfEBfEBfEBfEBgDB } 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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so if you started Fractint with debug=3200 and...
by Hal Lane 18 May '13

18 May '13

---- David wrote: --------- Author: david Date: 2013-05-18 19:18 -400 To: Fractint and General Fractals Discussion Subject: Re: [Fractint] FractInt does arbitrary precision math only for... Hmmm, so if you started Fractint with debug=3200 and a formula par, it would calculate the formula using arbitrary precision? --------------------------- Unfortunately, no -- I believe that their is not code in Fractint to support what you suggest. Debug modes: 3200 fracsubr.c disable auto switch //back// from arbitrary precision debug=3200 appears to assume that you are in arbitrary precision mode *already*, which is not available for the "type = formula" -- only the listed fractal types that specifically the docs say support arbitrary precision: "...mandel, julia, manzpower, and julzpower." - Hal Lane ######################## # hallane(a)earthlink.net ########################

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Re: [Fractint] FractInt does arbitrary precision math only for...
by Hal Lane 18 May '13

18 May '13

------ Mike wrote: ----------- >Author: Mike Frazier >Date: Fri, 10 May 2013 07:48:08 -0600 >To: Fractint and General Fractals Discussion >Subject: Re: [Fractint] Mike Frasier used Fracton to render Jim's >FOTD for May 6th, 2013 > >Unless I am mistaken, FractInt does arbitrary precision math only for >Mandelbrot and Julia built in formula types. You can't select arbitrary >precision math for formula types. --------------------------------- Page 166 of Fractint.doc for 20.4: Wes Loewer wrote an arbitrary precision library in both 80x86 assembler and C, and the Stone Soup team incorporated Wes's library into Fractint. Initially, support was added for fractal types mandel, julia, manzpower, and julzpower. . . . So how far can you zoom? How does 10^1600 sound--roughly 1600 decimal digits of precision. . . . Note: many of Fractint's options do not work with arbitrary precision. To experiment with arbitrary precision at the speedier ordinary magnifications, start Fractint with the debug=3200 command-line option. With the exception of mandel and manzpower perturbations, values that would normally be entered in the Parameters and Coordinates screens need to be entered using the command-line interface or .par files. Other known things that do not yet work with arbitrary precision are: biomorph, decomp, distance estimator, inversion, Julia-Mandel switch, history, orbit-in-window, and the browse feature. - Hal Lane ######################## # hallane(a)earthlink.net ########################

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FOTD 16-05-13 (17-Year Minibrot [M-7,A-7])
by Jim Muth 17 May '13

17 May '13

FOTD -- May 16, 2013 (Rating Math-7,Art-7) Fractal visionaries and enthusiasts: Today's image lies on the main spike of an oversized Mandelbrot set that is just starting to morph into a Z^17+C Mandeloid. The first signs of transition are already visible from the surface, in the finer detail. Today's scene lies just inside the point where the main spike is cut off by the escape radius. A small outzoom will show how close it lies. The name "17-Year Minibrot" refers to the generating formula, and also to the 17-year cicadas, (magiciada septemdecem), which are due to emerge in the Fractal Central vicinity in a few weeks. I rendered the image with the outside set to 'tdis'. This gave the image enough detail to make it interesting. Both the mathematical and artistic ratings are 7, which means that both are somewhat above average. The calculation time of 15 seconds will probably be cut by at least half on a SOTA (state of the art) machine, but the minor annoyance of setting up and running this letter as a parameter file will remain. This minor annoyance can be eliminated at the web sites. Thanks to the wonders of modern technology, the image may be viewed without the need of calculating it by surfing over to the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> High-definition variations are posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and scads of back images are online at: <http://www.Nahee.com/FOTD/> Really pleasant weather was appreciated as best as possible by those here at Fractal Central today. The fractal cat questioned the partly cloudy skies, but approved of the temperature of 82F 28C. The fractal humans alternated between commercial work and weather enjoyment. The next FOTD will be posted in the near future. Until the near future arrives, take care, and terrorists are said to be enemies of freedom, which I guess gives us the right to over-run their land and drop bombs on them. But I fail to see how anyone could be an enemy of freedom. Would the terrorists rather be slaves than free people, or could they simply be fighting back as best they can against what they see as our aggressive intrusion into their sovereign territor- ies? After all, some people say we must keep them suppressed if we are to maintain access to the raw materials that lie in their territories but that we need to maintain our comfortable but extravagant life style. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= 17-year_Minibrot { ; time=0:00:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=DivideBrot3 center-mag=-23.99999459284\ 184/0/3.647139e+011 params=15/12/475.99974045665/0 float=y maxiter=15000 inside=0 outside=tdis symmetry=xaxis periodicity=6 mathtolerance=0.05/1 colors=0008ZH9YIAXJAWKBVMCUNDTODRQEQRFPSGOTGNVHMWI\ LXGLXIKYKKZMJ_NJ`PIaRIaSHbUHcWGdXGeZFe`FfaEgcEheBi\ dHffIihKkjNmlQonTrpWtrZvsaztdxtgwujuumtupsvsqvvpvx\ owzmwzlwzkszhozflzchzadzZazXYzUUzSRzPKzNJzKGyICyF8\ yD6z85yB5vD4sG4oI4lL3iN3eQ2bS2_V1R`2XX4VY6UZ8T_AS`\ CRaEPbGOcHNdJMeLLfNJgPIhRHiTGjVFkWElVFkUGjTHjTHiSI\ iRJhQJhQKgPLfOLfNMeNNeMNdLOdKPcKPcKP_KPWKPSKPOKPJK\ PFKPBKP7KO1KP3KQ5KR7KR9KSBKTDKTFKUGKVIKWKUWMVXOWYQ\ XYSYZUZ_V_`X`zZa7`btbctddtfethetnftietggueitcktblt\ `nt_ptYqtXotZmt`ktbitcgteetgcthatj_tlYtnWtoUtqStsQ\ ttRtqRtnStkSthTteTtbTt_UtXUtUVtRVtOVtMTtLRtLQtKOtK\ MtJLtJJtIBtF8tC5tA2t63t84t95tA5tC6tD7tE8tF000070`t\ GetMjtSotYstc_tkHtrKtpMtnOtmRtkTtiVth_tbdtXitRntLi\ tNetPatQXtSTtTDtQFtSHtUJtWLtYNtyitYdt``tcWtfStiNtl\ _tiitnKtrntqktphtpetoatnZtnWzmTzmUzgmzmJzoFzqHz`Jz\ KKz3bzfjznrzvjzqbzmWzhOzd } frm:DivideBrot3 { ; Jim Muth z=0, c=pixel, a=real(p1), b=imag(p1), d=real(p2)+100: z=sqr(z)/(z^(-a)+b)+c |z| < d } END PARAMETER FILE=========================================

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FOTD 15-05-13 (Crystal Cities [M-4,A-6])
by Jim Muth 15 May '13

15 May '13

FOTD -- May 15, 2013 (Rating M-4,A-6) Fractal visionaries and enthusiasts: In today's image we take a brief break from hyperland and check the parent fractal that results when the formula Z^(1.37)+C is iterated 1.37 levels up the hyperladder with no function applied. This parent appears as a shapeless main bay with an equally large and shapeless period-2 bud attached to the northwest side. Today's image is located in a twisting filament just inland of the eastern shore line of the parent's main bay. I named the image "Crystal Cities" for no apparent reason. The math interest rates a rather boring 4, the artistic worth, a not much better 6. The calculation time of a mere 45 seconds will remove some of the disappointment if the image lays an egg. The finished image should be posted on the official web site at: <http://www.crosscanpuzzles.com/Archives.html> but the host site has been having problems and has been hard to access lately. It might be down. If it is down, check the hi-def version of the image at Hal's site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Hopefully, his site is up to date: Regardless, the back images are online at: <http://www.Nahee.com/FOTD/> A rather pleasant day passed virtually un-noticed today here at Fractal Central, with ample sun and a temperature of 75F 24C. The fractal cat enjoyed the few beams of sunlight that managed to sneak into F.C. (We get little inside sunlight during the high-sun-angle time of year.) The humans made the best of things. The next FOTD will be posted in a matter of hours. How many hours is yet to be determined. Until whenever, take care, and get hot under the collar about climate-change-global-warming. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Crystal_Cities { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.80267755/+0.71031711/117.094/1/65/0 params=1.37/0/1.37/0 float=y maxiter=16000 inside=0 outside=tdis logmap=28 periodicity=6 colors=000zJnzEozAsz6uz2wy6ys9zlCzfCz7CcUCcOCcJCcD\ Cc9CcKCcRCY`CHdC4_C1OA0E20500000200605A0AE0GJ0MP0R\ U0Y_0cd0li0so0yq0wq0wq1wq5wqAwqEwqLwqPwsUus`usfusn\ ussuszuszuszuUgfRidOn`Lo_HsWEwTCyR9zO6zM4zJ1zH2zG4\ yG5uG6oG6lE7fE9bEAYEAUE7YG6`G5dH2gH1lJ0oJ0sL0wL0zM\ 0zM0yL1sL4nL7gLCbLEYLJTJMOJRJJWEJ_AJd6Jg4JlADoH9sP\ 5wY1zf0zo0zw0uy0lz0bz0Uz0Mz0Ez07z0Az0Dy0Eu0Hq0Ln0M\ l0Pg2Td5U`6YY9`WCbTDfPGiMJlJLoHOsERuCTy9Wz6_z`GzdG\ zfGzgGziGzlGznGzoGzqGzsGzuGzzHzwGzuEzsEzqDznDzlCyi\ CwgAwd9ub9s`7sb7qd6of6og5ng4lg4lg2ig2gq1lq0gq1fq2b\ q4`q4_q5Wq6Uz6Tz7Pz9Oz9MzAJzCHzCGzDDzECzGAzG7zH6zJ\ 5zJ2zL1zM0zM0zO0zP0zT0zR0zP0zO2zM6zLAzLEzJHzHMzGRz\ EWzE`zDfzClzAqz9wzAuz9uz7uz7uz6sz5sz5sz4sz2qz2qz1q\ z0qz0oz0oz0oz0oz0nz0nz0nz0nz0lz0lz0lz0iz0lz0lz0nz0\ nz0oz0oz0qz0qz0sz0sz0uz0uz0uz0qz0oz0nz1lz6izAgzGlz\ MzzHzzHzzHzzHzzHzzGzzGzzG } 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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Another Black Hole !?
by JackOfTradeZ＠comcast.net 15 May '13

15 May '13

. Here is what I saw: http://dl.dropboxusercontent.com/u/33642054/image/fotd_20130510_1200_5.jpg . If you zoom in, the black hole eventually fills the screne, as in my recent viddie. If you increase iterations, it appears to "retreat" to distance and get smaller. The black is not really "lake" region, it is simply "high iteration count to escape" region, and it increases the closer to the "center". This continues to infinity - there is no minibrot or anything else there. .

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FOTD 13-05-13 (Surprise Test [M-7,A-7])
by Jim Muth 14 May '13

14 May '13

FOTD -- May 13, 2013 (Rating M-7,A-7) Fractal visionaries and enthusiasts: The discussion is brief because the day was very busy. Today's image shows a tiny minibrot in the East Valley area of a larger but still small minibrot on the main stem of the Mandelbrot set. The minibrot has been almost totally filled in by hyper-stuff, with the only remaining open area a black dot at the center of the main bay. The math value is down 2 points from yesterday's, since the effect is not as surprising as the title would imply. The artistic worth is up a point however, due to the extra effort I hurriedly put into the coloring. The name "Surprise Test" is an exaggeration. I was really not very surprised when I saw the image The calculation time of a mere 30 seconds will make all fractal troubles vanish like a black cat on a dark night. See the light! Enjoy the finished image posted at: <http://www.crosscanpuzzles.com/Archives.html> Thrill in the hi-def version at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And if today's image leaves you hungry for more, check the thousands of FOTD back FOTD fractals and hair-raising discussions online at: <http://www.Nahee.com/FOTD/> A definite chill was in the air here at Fractal Central today, with a mix of sun and clouds and a temperature of 52F 11C. The low tonight is forecast to be 27, which could be the lowest ever recorded in May. No wonder the local farmers are worried. The fractal cat is not worried however. An extra treat of tuna kept him happy most all day. The fractal people made it through a very busy day with a minimum of distractions. The next FOTD will be posted, tomorrow if all goes well, the next day if it does not. Until whenever take care, and where is the outrage about the bombing in Afghanistan and the 19 people shot at the parade in New Orleans? I guess people get outraged only when the news media jumps on a story, thereby telling the public, (Are we a flock of such easily manipulated sheep?) that it's time to be angry again. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Surprise_Test { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-1.832274747051162/0/1.349499e+010 params=0/0/0/0/0/1/1e-050/0 float=y maxiter=1600 inside=0 logmap=198 symmetry=xaxis periodicity=0 colors=0000680740820A10B00C00E00F00G00H01K02M04P05\ R15U25W55Z75`85cB5eC5gF5iH5mJ5qL5sM5vP5yRHzSUzVezW\ kzZez_UzbHzc6td6pe6lg7hh7ei7bj7_k7Xm8Un8Ro8Nq8Kr8H\ s7Hq7Jo7Mn6Om6Sk6Vj5Yh5Zg5_e4`d4`c4bb2c_2cZ2dY1eW1\ gV1gU0hR0iQ0iP0jO0kM0mL0mJ0nH0oG0oF0qE0rC0rB5_2EC0\ FE0FF0GF0GG0GG0HH0HH0JJ0JJ0JK0KK0KL0LM0LM0LN0MM0MN\ 0OO0OR0OS0PU0PW0QZ0Qa0Qb0Re0Rf0Sh0Sh0Sl0Ul0Us0mx0m\ z0Wv0Wr0Ym1Zh2Zc4_Z5`Y7`V8bUAcRBcQCdOEeMFeMHgLJhKK\ hJLiHMjGOjFPkERmCSmBUnAVo8Wo7Yq6Zq6_k6Wg6Uc6RZ6PU6\ LQ6JL6GC7BG6EdUEbSC`RC_QCAQOAPPAPQBORBMSBMUBLVBLWB\ KYCJZCJ_CH`CHbCGcEFdEFeEEgEEhECiECiCEjCEjCEjCEkCEk\ CEkCFmCFmCGmCFnCGnCFnCGoCGoBGoBGqBHqBHqBJrBJrBKrBK\ rBLsBLsBMsBMtBOtBOtBPvAPvAQvAQwURwURwUZxedxeexrkyr\ myzzzzzzzzzrozeizUhxHhw8gv8gt8gr8eq8eo8dn8dk8djrci\ 7ch7beebd7bcr`b7`_7_Zz_Y7_W7ZU7ZSzZR6YQ6YP6WM6WL6W\ K6VJ6VG6UF6UE6UC6SA5S8zR7 } 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 12-05-13 (Oh_I_See_You [M-9,A-6])
by Jim Muth 13 May '13

13 May '13

FOTD -- May 12, 2013 (Rating M-9,A-6) Fractal visionaries and enthusiasts: Today's rating is in two parts, a math part and an art part. The mathematical interest is quite high, the artistic interest, just so-so. The scene lies well inside the main bay of the Mandelbrot set, where nothing but a blank screen should be expected, but today's image is anything but blank. The 'ghost bud' peeking out from behind the dark foreground stuff on the left is the first sign I have found of minibrots in the hyper part of the HyperMandelbrot set. True, the scene is not critical, but it is a sign that interesting discoveries might lie ahead. So far however I have been unable to bring the partially hidden bud out into the open. The hole at the center of the parent fractal closely resembles the mandel-object found by Mike Frazier at the bottom of what I had previously assumed was an endlessly shrinking series of concentric fractal starbursts. Today's scene lies inside a second-order bud at the edge of the circluar hole at the center of the main bay of the M-set. The superior math rating of a 9 is held down by the merely average artistic-worth rating of a 6. The name "Oh I See You" describes how I felt when I first caught sight of the unexpected bud. The calculation time of 7 minutes is slow, let's face it. The way to avoid time frustration is to find relief on the web sites. Enjoy the finished image posted at: <http://www.crosscanpuzzles.com/Archives.html> Thrill in the hi-def version at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And if today's image leaves you hungry for more, check the thousands of FOTD back fractals online at: <http://www.Nahee.com/FOTD/> A mix of sun and ragged clouds, a temperature of 59F 15C and a brisk northwest wind made today feel unseasonably chilly here at Fractal Central. The fractal cat managed to find a stray shaft of sunlight in the afternoon, and curled up in comfort, but a cloud covered the sun after only 10 minutes and he retired to claim my favorite chair. With no mothers to visit, the fractal humans had a pleasant day at a local barn that has been conver- ted into an antique shop. The next FOTD will be posted in the proper time. Until that wonderful moment arrives, take care, and if the right is right, how can the left be right? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Oh_I_See_You { ; time=0:07:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 float=y center-mag=-0.1237598874/+0.0164735574/3530/1/-23/0 params=0/0/0/0/10/0/1e-060/0 maxiter=7200 inside=0 logmap=459 periodicity=0 colors=00060I50K70J70K80K90LA0LB0KC0KD1LE2MF3OH4PJ\ 5RL6SN7UP8WR9XTAZWB_ZC`aD`cEacFacGbcGdcHccIbcHacIa\ cJ`cI_cJZcJZcJYcJXcKWcKWcLVcMUcMTcNTcOScORcPQcPQcP\ PcPOcPNcPRcPPcPNbPMaPK`PJ`NH`MG_ME_KDZJBZIAXJBWKCV\ LDUKETKFSKGRKGQKHPKIOKJNKKMKLLKMKKMJJNIIOHHPHGQKMR\ JMSIMSHMTGMUFMVEMWDMXCMXDMWEMWFMVFMVGMUHMUHMTDGTEH\ SFISFJRGKRHKQHKQIKPJKPKKOKKOLKNMKNMKNNKMOKMPKLPKLQ\ KKRKKRKJSKJTKIUKIUKHVKHWKGWJGXIFYHFZGEZFE_FE_JG_JG\ ZIGZIGZIGZHGZHGYGGYGGYGGYFGXFGXFGXEGXEGXEGWDHWDHWC\ HWCHVCHVBHVBHVBHUAHUAHUAHU9HU9HT8HT8HT8HT7HS7HS7HS\ 6HS6HS6HT7GT8GT9GT9GTAGTBGUCGUCFUDFUEFUFFUFFVGFVHF\ VIEVIEVJEVKKWLKWLKWMKWNPWNPWOPXPPXQUXQUXSUXTUXTZYT\ ZYUZYWZYXcYYcYZcZ_cZahZahZbhZchcembkmbkmbkmbkrbkrb\ krbkrbkwhkwhkwhkwhkzhkzblzhlzhlzhlzhlzhlzhlzhlzhlz\ hlzhgzhgzhgzhhzmmzmmzmmzmmzmmzmmzmwzmwzmwzzwzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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