January 2010 - Fractint - mailman.xmission.com

FOTD 22-01-10 (Candied Valentine [8])
by Jim Muth 22 Jan '10

22 Jan '10

FOTD -- January 22, 2010 (Rating 8) Fractal visionaries and enthusiasts: Today's image rates an 8, which includes a whopping 2 points for my quasi-expert coloring. Without the colors, the image would take its place among the countless hordes of everyday routine images with a rating of about a 6. An order 2.5 minibrot lies at the center of the image, but don't even think of trying to reach it. The image as it is has a magnitude of over 2*10^13. A magnitude of around 10^16 would be necessary to resolve the minibrot, a magnitude well beyond the capability of the standard math routine. The image lies in the East Valley area of its parent. More accurately, it lies where an East Valley should be found. The parent fractal actually has a bud where the valley should be. The name "Candied Valentine" refers to the valentine-like colors and the fact that Valentine's Day is just over 3 weeks off. The calculation time of 3 minutes is brief enough to make the calculation a pleasure. The pleasure part may be avoided how- ever by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completed image is or soon will be posted. Ample sun and a temperature of 41F +5C kept the fractal cats satisfied here at Fractal Central on Thursday, while less work than usual kept me satisfied. FL was satisfied when I turned off the politics on the 'news' channels and started watching the coverage of the heavy weather in sunny California. The next FOTD will be posted in 24 hours, if not sooner. Until then, take care, and when a fractal is said to be in critical condition, it means the fractal is in perfect health. It's too bad people are not fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Candied_Valentine { ; time=0:03:02.07-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=AllNewDivideBrot function=recip float=y center-mag=+0.1218451743767719/+0.0186081003847881\ /2.351428e+013/1/-144.25/0 params=2.5/-2.5 passes=1 maxiter=1200 inside=bof61 logmap=-335 periodicity=6 mathtolerance=0.05/1 colors=000U4TU5TV6TV7TP8HN9KMANKBRJCUHDXFE`EFcCGfB\ Hj9Im8Jp9Kq9Mr9Ns9Ot9Qu9SvBUwDWxFYyG_zCaz9cz8ez7gz\ 7iz8kz80090I90IA0JA0JB0KB0KC0LC0LpKbzRspMjcHbYCUS7\ MM3EP2DR2DU2DW2DY2C`2Cb2Cd2Cg2Bi2Bl2Bn2Bp2As2AuNAz\ NAyN9xN9wN9vL9t99sA9rB9qC9qD9pF9oG9oH9nI9nJ9oNEpQI\ qTMrWQsZUsaYtcXtdXteWtfWtgVtiVtjUukUulTumTuoSvpSws\ RxvRyzRzwSztSzrSzpSznSzmSzmSzmSzmTxmTumTsmTrmTrmUr\ mVrmWrmWqmWpmXomXnmXmmYkmYimYgmZemZcmZam__l_Yk_Wj_\ XiZYhZZgZ_fZafYYfYTeZPdZKc_Gb`Ba`7aa2abCzzLosUeucV\ vlLxvAzi9lW7YJ6K545D5BL6HT7O`8UiA`h9Zf8Wd7Tc6Ra5O_\ 3LX4MU5OR7PO8RKATG7aC4j70sWGXtX98pbNsNNnLMhJLbHLYF\ KSDJMBIG8ahVahV`iW`jW_kXOq`BwdKhiUUncEseKmhRgjYamd\ WpkPRZzRWWRS1TU2VW4YY6_`8abAddCffEiiGicLhYQgSVgQXg\ O_fMafKdfIfeGieEkdBn_HZVNIQU1ZUAgUJpTSjZQdeNZkLTrI\ NcEHPAB95DqD8n_3kwI_kYN_mANjHMfOKbVJZaHVhGRoEUnEXm\ E_kDbjDeiDhgCkfCndBk`EhXH } frm:AllNewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=b*(z^2*fn1(z^(a)+b))+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 21-01-10 (Hourglass Figure [6.5])
by Jim Muth 21 Jan '10

21 Jan '10

FOTD -- January 21, 2010 (Rating 6.5) Fractal visionaries and enthusiasts: Today's FOTD image shows a scene in the East Valley area of the nearly divided minibrot on the infinitely divided main stem of the Z^(2.003)+C Mandeloid, which is the area where the strange Julia rectangles are found. No rectangles appear in today's image however. I named the image "Hourglass Figure" for a reason that will be perfectly obvious when the image is seen in person. And with a calculation time of just under 5 minutes on a fast machine, it will not be too boring a task to calculate and see the image. The rating of a 6-1/2 includes 1/2 point for the semi-expert coloring. Otherwise, I could find nothing in the image worth more than a 6. The image may be viewed by starting the included parameter file and coming back in 5 minutes to stare in awe and wonder at the things numbers can do when they put their minds to it. Or one may visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and stare at the finished image in awe-struck amazement there. Lots of clouds, a little sun, chilly north winds and a tempera- ture of 41F +5C left the fractal cats unimpressed here at Fractal Central on Wednesday. My day began about average but turned rather satisfying during lunch when FL and I were watching the news. Out of nowhere FL remarked that she was growing disappointed with superpresident and his incredible shrinking promises. I could not resist mumbling "I told you so" just loud enough for her to 'acciden- tally' overhear. No reply was expected; no reply came. But FL was rather sulky for a while. The next FOTD, promised to meet expectations, will be posted in 24 hours. Until then, take care, and if the next FOTD fails to meet expectations, I can always blame the other party. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hourglass_Figure { ; time=0:04:58.47-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-1.687\ 832787113062/+0.01411013382451336/1.458611e+012/1/\ -15.75/0 params=2.003/0/0/0/0/0 float=y maxiter=5000 inside=0 mathtolerance=0.05/1 colors=000NLIPDHmRGO0FmSGzSGmTGVLGmUGYUGmVHzVHmWHc\ WHmWHfXHhXHiZIkcIlhInmIzrIzvIzzzzzzzzzzvIprJomKmhK\ lcLjcLidMgeNfeNdfOcgOahP`iQZiQYjRWkSVlSTmTSmTQnUPo\ VNpVzqWKqWzrXHsYztYEuZzuZFmXzmVLmZzm_Oz`zzbRzcTzdU\ czWrzYczZrz`czarzcczaqzbfzctzddzewzebzfuzg`zUVjcUj\ VTjeSjXRjfQjYPjhOj_NjiMj`LjkKjgJjmMlgKklJjpMnpLnzJ\ mzIlzGkzFkzEjzCizBiz9hz8gz6fz5fz3ez2dk1di4cg6ce8cc\ AcaCc_EcYHczJczLczNczPczRczTczWczYcz_czacCzcAzc8zc\ BzbEzaGzaza`z``zZ_zY_zWZWVZZUYaSXcRXfPWiOWkNVnLVqK\ UyGXvIVsJUpKSmLRjMQgNOdPNaQLZRKWSJTTHQUGOWDNVFNVGN\ VHNVIMVJMVKMVLMVMLVNLVOLVQLVRKVSKVTKVUKVVJVWJVXJVY\ JVZIV_IVaIVbIVcHVdHVeHVfHVgGVhGViGVjHUkGVkFWkEXkDY\ kCZkB_k8bm9alA`kB_jCZjDYiEYhFXhGWgHVfIUfJTeKTdLScM\ RcNQbOPaPOaMBTMBTKBTKBTMBTLASMBTNCUODUPEVPFVQEWRFW\ QGWQGVPFVOEUNEUMDULCTKCTJBSIASI9RH9RG8QF7QE6PD6PC5\ OBAc81ZB4UD7PFAMHDJJFKLIJ } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 20-01-10 (Same Old Rectangle [7.5])
by Jim Muth 20 Jan '10

20 Jan '10

FOTD -- January 20, 2010 (Rating 7.5) Fractal visionaries and enthusiasts: While rambling around in fractal land Tuesday evening, I decided to pay a brief visit to the familiar rectangle in the Z^(2.003)+C Julibrot. I stayed there only a short time, but I did manage to find today's image, which is a slightly skewed view of the rectangle. The rating of a 7.5 notwithstanding, the name "Same Old Rectangle" describes my feelings about the image. It took a double rotation of only 1.5,1.5 degrees from the Julia orientation to wreak havoc on the once-perfect rectangle, which looks like it is being violently twisted by some invisible fractal giant. The surroundings in this fractal area have always reminded me of a fantastic rail yard. The rail-like features exist in every orientation of the Julibrot in this area. In my opinion, the coloring is worth the extra half-point I gave the image. But I still must admit that most of its worth was created by the Fractint program rather than my intervention. My main task was to solidly fill the the rectangle by rendering the scene with the inside set to bof61. The calculation time is a speedy 170 seconds, and even this brief delay may be avoided by surfing out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. A temperature of 39F +4C, a dreary low overcast and a steady light mist made Tuesday a day to be forgotten here at Fractal Central. The fractal cats seemed to agree. It took only one glance out the window to turn their thoughts to pleasures other than a sunny window shelf to lie on. My day was un-notably average. Unless climate change gets totally out of control, the next FOTD will be posted in 24 hours. Until then, take care, and why can't those selfish con- servatives see the danger the earth is in due to climate change? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Same_Old_Rectangle { ; time=0:01:10.39-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=-0.0035611/\ -0.0028388/75 params=88.5/90/88.5/90/-1.7435/0/\ 0.00019/0.07388/2.003/0 float=y maxiter=1500 inside=bof61 logmap=48 periodicity=6 colors=000NAOAAOAAPAAPAAQAAQAARAARAASAASAATAATAAUA\ AUAAVAAVAAWAAWABXACXADYAEYAFZAGZAH_AIWBJXCKYDLZEM_\ FN`FPaFQaERbEScETdEVeEWfEXgEYgDZhD`iDajDbkDclDdmBf\ nDemFdlHckJbjLajN`iP_hRZgTYgVXfXWeZVd`UdbTcdSbfRah\ QajP`lO_nNZpMZrLYtKXvJWxIWtHZpH`lHbhHdeHfaHhYHjUHl\ RHnNHpJHrFHtNy1JjLFWcBFxCGwCHvCIvCJuCJtDKtDLsDMrDM\ rDNqDOqEPpEPoEQoERnESmFSmFTlFUkFVkFVjFWjGXiGYhGYhG\ ZgG_fH`fH`eHadHbdmzImzImzJmzJzmJzmJzmKzmKFqKGpLHoL\ InLInLJmMKlMLlMLkNMjNNjNOiNPhOPgOQgORfPSePSePTdPUc\ QVcQWbQWaRX`RY`RZ_RZZS_ZS`YSaXTbXTbWTcVTdUUeUUeTUf\ SVgSVhRViQViQWjPWkOWlNXlNXmMXnLXoLYpKYpJYqJZrIZsHZ\ t9YsDZsHZsLZrP_rT_rX_q``qd`tfdsgbrhzqhzpizoiznjznj\ zmkzlkzklzjlzimzimzhnzgnzfozeozdpzdpzcqzbqzarz`rz_\ sz_szZtzYtzXuzWuzVvzUxzVwzVvzWzzWzzWzzXzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzSzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:SliceJulibrot4 {; 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=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 19-01-10 (Too Close for Comfort [7.5])
by Jim Muth 18 Jan '10

18 Jan '10

FOTD -- January 19, 2010 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is a scene rather deep in East Valley of the Mandelbrot set. It's a very typical scene. The unusual effect was achieved by calculating the image with the bailout set to 1 rather than the usual 4. A a bit of extra effort on the colors also helped. The minibrot at the center is the same one that appeared at the verge of extinction in the FOTD for January 15. Today's image finds the minibrot not quite as close to vanishing, but still too close for comfort, which coincidentally is the name I gave the image. In my opinion, the most notable feature of the image is the smoothness of the colors, which makes the iteration bands almost invisible. This effect came about largely by accident, and is the reason I rated the image at a 7-1/2. The calculation time of 4 seconds is true on my on-and-off P4-2000mhz machine, which is currently in its 'on' mode. The image may also be seen by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Variable clouds and a surprisingly mild temperature of 50F 10C kept the fractal cats leaping on and off their window shelf here at Fractal Central on Monday. In my department, things were under control. FL tried again to get me to adopt a 'positive' attitude, whatever that is, but in my opinion, world events justify a 'negative' attitude far more strongly than some 'positive' talk and warm-fuzzy feelings. The next FOTD will be posted in 24 hours, and that's not just some more feel-good talk. Until then, take care, and someone must have lost their faith. On Sunday I found an old, beat-up one on the stairway to the attic. If no one claims it, I'll put it away for safe keeping. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TooCloseForComfort { ; time=0:00:04.05-SF5 on P4-2000 reset=2004 type=mandel center-mag=+0.2547710270425\ 52/-0.000530957591413/3.4887e+011/1/40/0 params=0/0 float=y maxiter=6000 bailout=1 inside=0 logmap=996 colors=000KJQLJRLJSLKSLKTMKUMKVMKWMLWNLXNLYNLZNLZO\ M_OM`OMaOMaPMbPMcPNdPNeQNeQNfQNgQOhROhROiROjROkSPl\ HGEJGGLGINHKOHMQHOSHQUISVIUXIWZIY`J_aJacJceJegKghK\ ijKklKmKIJKIJqLssLuuMxHGDIGEJGGKFHLFIMFKNELOEMPEOQ\ DPSDQTDSUDTVCUWCWXCXYBYZB__B``AaaAccAddAee9gf9hg9i\ h8ji8jj8ji7jh8ic9eZA_UBUPCPKDKFEFEFCEFCDFDDFDDFDCE\ DCEDBEDBEEADEADE9DE9DE9DE8CE8CF7CF7CF6BF6BF6BF5BG5\ BG4AG4AG3AG3AG29HGGCHGDHHEIHFJHGJIHKIILJJLJKMJKNKL\ NKMOKNOLOPLPQMQQMRRMSSNSSNTTOUUOVUOWVPXVPYWPZXQ_XQ\ _YR`ZRaZRb_Sc`Sd`SeaTfaTgbUgcUhcUidVjeVkeWlfWmgWng\ XohXohXpiYqjYrjZskZtlZul_vm_wn`x000JJDLLDNKEPPERRF\ STGUVGWXHYZH_`IabJbcJdeKfgKhiPjkUmmZnocqqhssmvurxw\ wzzzGGCGHCGHCHICHICHJCIKCIKCILCJLCJMCJMDKNDKODKODL\ PDLPDLQDLQDMRDMSDMSDNTDNTENUEOUEOUEOUEPUEPUEPUEUVE\ ZWEcXEhYFmZGrcKvhOzmSzrCzvWzz_zzdzzSzzEzz0zz1zz2zz\ 3zz4zz5zz6zz7zz8zzOzzPzzP } END PARAMETER FILE=========================================

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FOTD 18-01-10 (Magnificent Seven [7])
by Jim Muth 17 Jan '10

17 Jan '10

FOTD -- January 18, 2010 (Rating 7) Fractal visionaries and enthusiasts: The two most recent FOTD images have featured multiple mini- brots. Today's image continues the same theme and increases the numner of recognizamle minibrots from two to seven. (Actu- ally, I have found fractals with far more minibrots, though I can't remember quite where.) Today's multiple minibrots are found in the negative X-axis area of the Z^(2.003)+C Mandeloid, one of the richest areas I know for minibrots. Like the seven samurai ready for battle, today's midgets are lined up, ready for whatever action may come their way. The name "Magnificent Seven" needs no explanation. Some minibrots have apparently already seen action, for they appear to have large parts already sliced off. The minibrot in the center and those in the lower left however are still in fine shape. The rating of a 7 shows what I think of the image. Those who consider a steady diet of minibrots to be boring may consider the image to be worth much less. But one thing that cannot be denied is that, if the image proves disappointing, the calcula- tion time of 21 seconds will have wasted little time. Those with absolutely no time to spare for running a parameter file may see the finished image at once on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Clouds, fog, rain and a temperature of 36F +2C spoiled Sunday here at Fractal Central for man and cats alike. The cats spent most of the day keeping warm, while the man spent the day pondering unanswerable questions and FL spent the day wondering why the man concerns himself with silly questions that cannot be answered. And out of all this confusion a fractal developed. Even more surprising is that the next fractal is already in the works, and will be posted in 24 hours. Until then, take care, and when a question makes no sense, (such as why does a good god cause or permit so much suffering), it is often a sign that the question is based on a wrong assumption. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Magnificent_Seven { ; time=0:00:21.06-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN center-mag=-1.687674335/\ +0.01375541/1938/1/-55/0 params=2.003/0/0/0/0/0 passes=1 float=y maxiter=1200 inside=0 outside=tdis colors=000qTbMUM4_IJWKXTLjQNzKMxNOvPQtRRrTTpVVnYWl\ _Yja_hc`febdgcafe_fgYehVejTekRdmPdnMdpKcqIcsEhyGct\ H_oIWjJReS00XJWTERUAMP6HQAGQEGRIGRMGSQGSTGTXGT`GUd\ GUhGTy4UkGUYSUKcO7rU6nZ6jc5fh5cm4_r4Ww4Ts3Sp3Rl3Ri\ 3Qe2Pb2PU2OU2OU6MU9KcDIcGGcJEcNCkQAnT8pX6r_4uc1tK2\ t_2tX2tU3tR3zN3zK4zH4zE4z53zK4zm4zM4zS5mX5kb5jg5lw\ 5me5ne5ow5pd5qc5rc5tb5ua5va5w`5x`5y_5z_5xa7wc8udAt\ fBsgDqiEpjFolHmnIloKkqLirNhtOguPhqNhnMijKigJjcHj`G\ kXEkUDkQBlNAlJ8mG7mC5n94n52n21l65j99hDCfGGdKKbNN`Q\ RZUVXXYV`aTceRghPjlNmoOlnPkmPklQjkQjjRiiRihShgTgfT\ geUfdUfcVebVeaWd`Xc_Yb_ZaZ_`Y`_YaZXbYWcXWdWVeVUfUU\ gTTgST`WSU_RNbQGfP9jO2mNAjRHgVPdYWaaa`bbZdcXfdVhdU\ jeSlfQnfPpaTjYXeU_`QcWMfRIjMFlIEmHDnHCoHCpHBqHArH9\ sH9sH8tH7uH6vH6wH5xH4yH4yH5wG5uG5sF5qF5oF6mE6kE6iE\ 6gD6eD1fE6dDAbDEaDI_DMzDQXDUVDZUDbSDfRDjPDnNDrMDvK\ DzJDyLJyNPyPUyR_yTeyVjuUf } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 13-01-10 (A Golden Oldie [6])
by Jim Muth 17 Jan '10

17 Jan '10

FOTD -- January 13, 2010 (Rating 6) Fractal visionaries and enthusiasts: The parent fractal of today's image is the same one that gave us yesterday's image. This parent consists of two somewhat distorted Mandelbrot sets, but instead of lying in the East Valley of the eastern set, today's image lies in the East Valley of the western set. Now that the location is straightened out, little remains to be said except that the image rates a 6 and I named it "A Golden Oldie" for some reason that I have since forgotten. The image is an incredibly fast one, calculating in only 25 seconds, which is likely even faster than the brief time and effort required to see the image, already calculated, on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Tuesday dawned with a fresh 2cm of snow on the ground here at Fractal Central. The rest of the day was typical midwinter stuff -- partly cloudy with a temperature hovering just below freezing. The fractal cats ignored the outside conditions and spent their time keeping warm indoors. My day was average. The next FOTD -- above average to be sure -- will be posted at this same spot in 24 hours or so. Until then, take care, and see you then. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Golden_Oldie { ; time=0:00:24.92-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident center-mag=-0.86630327098/0/185328 params=1/2/0.05\ /-2/0/0/0/0 float=y maxiter=850 symmetry=xaxis inside=0 logmap=34 colors=000A9KCAKEDKGFKIHKKJKMLKONKQPKSRKUTKWVKYXKm\ bKjZKgXMdUJaRGZODWKATH7QE4NB1QD3VE5ZG6cH8hJAlKBqMD\ uNEqQFmYFi`KehUakcYsmVuzWtmXrcXqUYpKZo7Zm6_l4`f2``\ 1cY2e_3ha4jc5md6of7rh8tj9vkAseEp_ImUMkOQhIUeCYb6a`\ peapccpbepagp_ipZkpYmohonmnmqmlulkukiujhuiguhfugdt\ fbqe`nc_kbZiaXf_VcZUaYSZWQWVOTUNRSLORJLQIJSHKTHLUH\ LYIIaJFdJDhKAlL7oL5lN4jP3gR3eT2bV2`X1YZ0W`0Tb0Rd0O\ f0Mh0Jj0mCRlFPjJOiNMgRLfUJeYIcaGbeFahEbeGcbId`KdYM\ eWNfTPfRRgOThMUhJWiHYjE_jC`gF_dH_aK__M_XP_UR_RU_PW\ _MZ_J`_Gc_Ee_Bh_Bj_Bl_BgZDcZGZYJVYMRYNSZOS_OT_PT`P\ T`QUaQUaQVbQVbQWcQXcQYcQZbQ_aQ``Qa_QbZQcYWcXacWgcV\ ncUtfZzkbui_qgYmfVidTebRaaOX_MTZJPXzLVzHUzDSzBRzGP\ zNOzUNz`LzgKznJztIzsJzsJzsKzrKzrLzrPzqUzqZzqczohzm\ mzkrzivzgzzezzczzazz_zzYzzWzzUz0Wz0Xz0Yz0_z1`z3az4\ bz5dz7ez8fzAhzBizDjzEkzFlzFmzGnzGozHpzHqzIqzIpzLpz\ OpzRpzTpzWpzZYzUXzVXzWTza } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 17-01-10 (Side by Side [?])
by Jim Muth 17 Jan '10

17 Jan '10

FOTD -- January 17, 2010 (Rating ?) Fractal visionaries and enthusiasts: In yesterday's FOTD we saw two minibrots lined up one behind the other. Today's image shows two minibrots standing side by side and surrounded by a rich field of smaller minibrots. Today's image is located in the infinitely-divided debris along the negative X-axis of the Z^(2.003)+C Mandeloid, which happens to be the same Mandeloid that holds the mysterious rectangle which has appeared in various disguises in quite a few FOTD images. Though the image appears fairly unbroken, it is filled with discontinuities, the most obvious of which slices off the large southern bud of the minibrot on the right. The name "Side-by-Side" does not refer to a piece of Victorian furniture. It is a description of the image itself. The rating of a question mark indicates that I was not sure the image is worth a rating at all. But the calculation time of just over one mere minute is sheer joy. It means that no one will suffer dis-satisfaction if the congregation of minibrots fails to bring instant gratification. The instant gratification will be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the already-calculated image is posted. The FOTD discussion for January 16 originally contained a long philosophical screed about God and disasters, but before posting it I counted to 38, decided it had nothing to do with fractals, and struck the delete key. The full discussion is filed safely away in my FOTD files however. If I find myself in a suitably negative mood sometime in the future, I'll insert it in a future FOTD. The glorious Saturday weather here at Fractal central was quite unexpected. Though clouds and a high of 41F +5C were forecast, the day turned out sunny with a high of 52F 11C. The fractal cats had no complaints about the forecasters' mistake. My day was averagely uneventful. The next FOTD, likely another display of sociable minibrots, will be posted in 24 hours. Until then, take care, and we do care. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Side-by-Side { ; time=0:01:06.08-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-1.435\ 277045/+0.007051291/2336/1/-88.5/0 params=2.003/0/\ 0/0/0/0 float=y maxiter=1200 inside=0 logmap=40 colors=000cW6cV6cT6cS6aQ6_P6YN6WL6UK6SI6RH6SF6QD4R\ E5RE5SE6SE6SE6TE7TF7TF8UF8UF8UF9VF9VG9VGAWGAWGBXGB\ XGBXHCYHCYHCYHDZHDZHEZIE_IE_IF_IF`IG`IGaJGaJHaJHbJ\ HbJIbJIcKJcKJcKJdKKdKKX44Z88`CCbGGdKKeONgSRiVVkZZl\ banfcpccrcctccsccsccsccsccsccrccrccrccrccrccrccqcb\ qiaqh_qgYqfXpfVpeUpdSpcRpbPpaOoaMo`Lo_JoZIoYGejzgg\ ziezkbzm`zoYzv_zuZztYzsXzrWzqWzpVzpUzoTznTzmSzlRzk\ QzkPzjPziOzhNzgMzfMzfLzeKzdJzcIzbIzaHzaGz`Fz_FzZEz\ YDzXCzU2zV5zW7zW9zXCzXEzYGzZJzZLz_Nz_Pz`SzaUzaWzbZ\ zc`zcbzdezdgzeizgnzflzekzdizchzcfzbezacz`bzb`ze_zh\ ZzmXzrWzvUzzTzzRzzQzzOzzNzzLzzKzzEzzGzzHzzIzzJzzKz\ zMzzNzzOzzPzzQzzSzzTzzUzzVzzWzzXzzZzz_zz`zzazzbzzd\ zzezzfzzgzzhzzjzzkzzlzzmzznzzpzzozzozzozzozzozznzz\ nzznzznzznzzzzzzzzzzzzzOzzPzzQzzRzzSzzSzzTzzUzzVzz\ VzzWzzXzzYzzYzzZzz_zz`zzazzazzbzzczzdzzdzzezzfzzgz\ zgzzhzzizzjzzkzzkzzzzzzzz } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 16-01-10 (Minibrot Assembly [?])
by Jim Muth 16 Jan '10

16 Jan '10

FOTD -- January 16, 2010 (Rating ?) Fractal visionaries and enthusiasts: A few days ago on the Fractint list I saw a question about close groupings of Mandelbrot midgets. Actually, such clusters are quite common. I found today's scene within 30 seconds of starting a search. And there are far more impressive clusters of midgets not too far off, some of which will appear in the near future as FOTD's. Today's scene lies along the negative X-axis of the Z^(2.1) Mandeloid, in the debris left behind when the single main spike splits into two well-separated spikes. The two large minibrots, which are surrounded by clusters of infinitely-divided smaller minibrots, have been caught in a rather compromising position. Of course, the minibrots are not perfectly quadratic, but they are close enough to be easily recognizable. I have not yet checked the smaller clusters of midgets, but I suspect they are much the same as the one in the image. I wasted nearly 5 minutes trying to decide on a rating for the image before finally rating it at a question mark. The name "Minibrot Assembly" is a description. The calculation time of a speedy 1-1/3 minutes will cause no suffering. And as always, the finished image is available for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds returned to FC on Friday, while the temperature hovered around 45F +7C. Early in the day, the fractal cats gave up waiting for the sun. They spent most of the time asking for the heat to be turned up. With the cost of fuel as high as it, they did not get what they wanted. My day was about average. FL was displeased with my 'negative' attitude. But negative or positive, the next FOTD will be posted in 24 hours. Until then, take care, and let me know when you find the positive answer. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Minibrot_Assembly { ; time=0:01:21.58-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN center-mag=-1.22604913/\ -0.00671166/1135/1/100/0 params=2.1/0/0/0/0/0 float=y maxiter=15000 inside=0 logmap=31 colors=000zzzzzzvvvsssppmcqsZrsUssPtsNusNutNutMutM\ utMutMttLstLrtLqtLpuKouKnuKmuKluKkuKjuKiuKhuKgvKfv\ KevLdvMcvNcvOcvPcvQcvRcwScwTcwUcwVcwWcwXcwYcwZcw_c\ x`cxacxbcxccxdcxecxfcxgcxhcyicxjcxkcxlcxmcxmcwmcwm\ cwmcwmcwmcvmcvmcvmcvmcvmcumcumcumcumcumcumctmctmct\ mctmbtmbsmasmasmasm`sm`rm_rm_rmZrmZrmYqmYqmXqmXqmW\ qmWqmVpmVpnVpoUppUpqToqTorSosSotRouRnvQnwQnxPnyPnz\ QoyPnxPmwPlvPkuPkuOjtOisOhrOhqOgqNfpNeoNdnNdmNcmMb\ lMakMajM`iM_iLZhLYgLYfLXeLWeKVdKVcKUbKTaKSaKSbLTcL\ UdLUeLVfMWfMWgMXhMXiMYjNZkNZkN_lN_mO`nOaoOapObpObq\ PcrPdsQdtSewUgtWerYcp_ana_lcYjeWhgUfiSdkQbmO_oMYqK\ WtIUwGSzEQzCOzAMz8Kz6Iz4Fz1Gz3Gz4mz5mz7mz8mz9mzAmz\ CmzDmzEmzGmzHmzImzJmzLmzMmzNmzPozQqzRszSuzUwzVwzWw\ zXwzUwzuwzqwzmwziwzfwzbwzZwzWzzSzzOzzKzzHzzDzz9zz6\ zzDzzJzzQzzWzzbzzhzzozzuzznzzhzzbzzWzzQzzKzzDzz7zz\ 1zz2zz3zz4zz5zzzzpzzpzzpz } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 16-01-10 (Minibrot Assembly [7])
by Jim Muth 16 Jan '10

16 Jan '10

FOTD -- January 16, 2010 (Rating ?) Fractal visionaries and enthusiasts: A few days ago on the Fractint list I saw a question about close groupings of Mandelbrot midgets. Actually, such clusters are quite common. I found today's scene within 30 seconds of starting a search. And there are far more impressive clusters of midgets not too far off, some of which will appear in the near future as FOTD's. Today's scene lies along the negative X-axis of the Z^(2.1) Mandeloid, in the debris left behind when the single main spike splits into two well-separated spikes. The two large minibrots, which are surrounded by clusters of infinitely-divided smaller minibrots, have been caught in a rather compromising position. Of course, the minibrots are not perfectly quadratic, but they are close enough to be easily recognizable. I have not yet checked the smaller clusters of midgets, but I suspect they are much the same as the one in the image. I wasted nearly 5 minutes trying to decide on a rating for the image before finally rating it at a question mark. The name "Minibrot Assembly" is a description. The calculation time of a speedy 1-1/3 minutes will cause no suffering. And as always, the finished image is available for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds returned to FC on Friday, while the temperature hovered around 45F +7C. Early in the day, the fractal cats gave up waiting for the sun. They spent most of the time asking for the heat to be turned up. With the cost of fuel as high as it, they did not get what they wanted. My day was about average. FL was displeased with my 'negative' attitude. But negative or positive, the next FOTD will be posted in 24 hours. Until then, take care, and let me know when you find the positive answer. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Minibrot_Assembly { ; time=0:01:21.58-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN center-mag=-1.22604913/\ -0.00671166/1135/1/100/0 params=2.1/0/0/0/0/0 float=y maxiter=15000 inside=0 logmap=31 colors=000zzzzzzvvvsssppmcqsZrsUssPtsNusNutNutMutM\ utMutMttLstLrtLqtLpuKouKnuKmuKluKkuKjuKiuKhuKgvKfv\ KevLdvMcvNcvOcvPcvQcvRcwScwTcwUcwVcwWcwXcwYcwZcw_c\ x`cxacxbcxccxdcxecxfcxgcxhcyicxjcxkcxlcxmcxmcwmcwm\ cwmcwmcwmcvmcvmcvmcvmcvmcumcumcumcumcumcumctmctmct\ mctmbtmbsmasmasmasm`sm`rm_rm_rmZrmZrmYqmYqmXqmXqmW\ qmWqmVpmVpnVpoUppUpqToqTorSosSotRouRnvQnwQnxPnyPnz\ QoyPnxPmwPlvPkuPkuOjtOisOhrOhqOgqNfpNeoNdnNdmNcmMb\ lMakMajM`iM_iLZhLYgLYfLXeLWeKVdKVcKUbKTaKSaKSbLTcL\ UdLUeLVfMWfMWgMXhMXiMYjNZkNZkN_lN_mO`nOaoOapObpObq\ PcrPdsQdtSewUgtWerYcp_ana_lcYjeWhgUfiSdkQbmO_oMYqK\ WtIUwGSzEQzCOzAMz8Kz6Iz4Fz1Gz3Gz4mz5mz7mz8mz9mzAmz\ CmzDmzEmzGmzHmzImzJmzLmzMmzNmzPozQqzRszSuzUwzVwzWw\ zXwzUwzuwzqwzmwziwzfwzbwzZwzWzzSzzOzzKzzHzzDzz9zz6\ zzDzzJzzQzzWzzbzzhzzozzuzznzzhzzbzzWzzQzzKzzDzz7zz\ 1zz2zz3zz4zz5zzzzpzzpzzpz } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 15-01-10 (Eve of Destruction [7])
by Jim Muth 15 Jan '10

15 Jan '10

FOTD -- January 15, 2010 (Rating 7) Fractal visionaries and enthusiasts: NEW FORMULA ALERT! I think this is the first time I have posted an image created by the Mandel-V-Esc (variable escape) formula, which is actually an old one. The name of today's image is "Eve of Destruction". This in no way implies that humanity is doomed. We have enough shows on TV already telling us that. The imminent destruction is faced by the small minibrot at the center of today's image, along with the entire scene it lies in. The image lies deep in an elephant-trunk spiral, which itself lies deep in East Valley of the very familiar Mandelbrot set. So far, so good. But the image has little resemblance to the typical minibrots in the area. The problem is that the scene is on the verge of destruction. The bailout radius has been decreased to the point where the entire scene is ready to be obliterated. The tentacles of doom are already encroaching on the helpless minibrot at the center, which will soon go to wherever minibrots go when the calculation withdraws from them. Altruistic fractalists can save the doomed minibrot and restore it to health by raising the (p3) parameter to 4, while heartless ones can hasten its demise by lowering the parameter. The fans of doom can watch the actual death scene by lowering the para- meter in tiny increments. (The end comes at 0.8986203815, but it isn't very pretty to look at.) The rating of a 7 means that at least a little reward will be gained by taking the one minute required to run the included parameter file. Despite the one-minute calculation time, the trip to: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the already-calculated image will be easier. Total sunshine and a temperature of 43F 11C made Thursday an ideal day for the fractal cats here at Fractal Central. They spent the afternoon sharing their sunny shelf in the southwest window. My day was . . . well . . . typical. The next FOTD will be posted in 24 hours. Until then, take care, and do what comes easiest. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Eve_of_Destruction { ; time=0:00:57.57-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=Mandel-V-Esc center-mag=+0.2547710270\ 4256/-0.000530957591423/1.78576e+011/1/40/0 float=y params=0/0/0/0/0.89863/0 float=y maxiter=10000 inside=0 outside=imag mathtolerance=0.05/1 colors=000WfEYiB_l8`o5fcNlSdrHumKqiMneOjaQgYSdUU`P\ WYLYUH_RDaO9cK5eH1gE4dH7aJAZLDWNGUPJRRMOTPLVSIXUGZ\ SASQCTPFVNGWMHXKPaJQbHRbFTcEUcCVdBXd9Ye8ZeBWcDUaFS\ `HQZJOXMMWOKUQITSFRUDPXBOZ9M`7Kb5Jd3Hf1Gd6JbBL`GOZ\ LQYQSWTWVWZUZaSadRdgQgjReiSdiTbiUaiV_iWZiXXiYWi_Wk\ `WlbWmcWneWofWpgWqdXoaXnZYmWYkTZjQZiN_gK_fH_eEUiBc\ j8ljBkeDjaFiYHhTJhPMgLOfGQeCSd8Ud4Sb3Ra3Q_3OY3NV3M\ T3LQ3JT2IR2HQ2FO2EN2DL2CK2EN5GQ7IT9KWBMZDOaFQdHSgK\ UjMWmOYpQ_sSavUbxWduYfsZgp_in`jlalicngdodeqbfr`gpc\ _oeTnhMmjFll8jnChpGfrJhtNmwRrzUwzczzmvxcrnUrdKrWKr\ NOrFSrITrKTrMUrPUrRVtTVvVVm_adcgWgmNksOjpPinQhlQgj\ RfhSefSddTcaUb_VaYV`WW_UXZSXYQnHQpEUrCYtA`qDbKFcRI\ eiKfgNhdPibSk_UlXWmVZoS`pQcrNesLhuIjvI4LP4PS4QV4RX\ 7TZAU`DVbGXdIYfLZhO`jRalUbmWci`hfelbjp_nt`lpajlahh\ bfdbd`cbXd`TdZPeXLeVHfTDfR9`OGWLNRIUMF`HCgCAmEDiGG\ fIJcKM`LPXNSUPVRRYOT`LUcH } frm:Mandel-V-Esc {; changeable bailout radius z=p1, c=pixel+p2: z=sqr(z)+c, |z| <= p3 } END PARAMETER FILE=========================================

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