May 2008 - Fractint - mailman.xmission.com

FOTD 22-05-08 (Lack of Symmetry [7])
by Jim Muth 22 May '08

22 May '08

FOTD -- May 22, 2008 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal was generated when I iterated Z^(1.14)+C at ground level of the complex logarithmic ladder with no function applied. The parent fractal resembles a distorted extracted tooth with an unusually large area of debris spread well to the southwest of the main bay. Today's image is located far out near the edge of this debris field. I named the image "Lack of Symmetry". The name is was inspired by the distorted-tooth shape of the parent fractal. Then, when I saw the finished scene, I rated it at a 7. The image is just another star-burst low-order minibrot, but it is a better-than- average one, IMO worth its rating. The calculation time of 1-1/2 minutes will be easy going. Equally easy will be downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> but Paul is very busy, so there might be a delay before it is actually posted. The older and more experienced people grow, the more cynical they tend to become. It must be a hazard of old-age. But whatever it is, it is certainly happening to me. I wish I could believe that a certain candidate for the US presidency really would bring a change for the better if elected, but I have heard this promise and been disappointed too many times to have any hope of meaningful change. I also wish I could believe that those corporations who claim to care about global warming were truly concerned with warming and not with their profits. In fact, if global warming actually exists, I wish it were possible to do something about it. The fuel situation is little better. A few weeks ago a customer stormed in the front door, complain- ing that he could no longer pay the high cost of gasoline. He supposed that the service stations were getting rich at the consumer's expense. I replied that the money we pay for fuel untimately ends up in the hands of the petroleum suppliers and speculators, and I doubt that even they are getting as rich as it appears. When he asked what I thought we could do about it, I told him to stop driving his oversized van and get a bicycle. If enough people stop driving large fuel-hungry vehicles, the demand for fuel will drop and the cost will soon follow. When he said he needs his large van to make his living, I told him that in that case he must continue paying the high price of fuel, and he should bite the bullet and stop complaining. I doubt that my comments made him happy. Luckily, the weather is much more enjoyable than the customer was. The partly cloudy skies here at Fractal Central on Wednesday were interrupted in the afternoon by a brief thunder-shower, which is pretty routine for this time of year, but the tempera- ture of 55F 13C was much too chilly for late May in central Pennsylvania. The fractal cats, who have still not remembered where they hid their catnip rat, agreed. My day was as close to average as a day could be. The next FOTD will appear in 24 hours. Until then, take care, and be assured that truth will prevail. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Lack_of_Symmetry { ; time=0:01:33.23-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-6.983235396309989/-8.54444043927656/\ 1.817357e+010/1/-85/0 params=1.14/0/0/525 float=y maxiter=5000 inside=0 symmetry=none periodicity=10 colors=000mTTjWReZRaaQYeQTgOOkOKmOLkQLjRLgTLfULdWL\ bXL`XLZYLXZLW`LTaLRbLOdLNdNQfNRiNTkNWmOXpOYrOZtOav\ ObyQezQgzQjzQlzQnzOqzOszOuzOxzOzzOzzOzzOzzOyzOzzOz\ zOzrOzqOzpHt`BjHEXYGHjTBZH0uL0tN2sO2rQ4qR4pT7nU7mW\ 9lX9kYBjZBi`CgaCfbEef4`dEdbLfaTi`YkZbmXiqWmsUsuTxx\ BzzRzzdzynvxztvzruzmuvjupfuibuaYuUUuLQuBLuKKvQHxWG\ yaGzfEzkCzqBzuBzz9zz7zz4zz4zz9zvCsnGkeKbWNULOLOROR\ URUXUXZXZaYad`dfbfieikgkmimpkprmrtptvrvzzuxstkdsYN\ uK0sH0qG2nG7lE9jECgCGeBHbBL`9OY4NZ9QZCRZGTs0dZHU0e\ HBZKOTKiEKkCKq2Ku0Hy0Kt0Kp0Lk0Lf4Na7NXBORCOLGQGENE\ HQELREOTEQWETYEW`EXbEZeEagEbjEelEgnEiqBem9aj4Yf2Wb\ 0RZ0NW0HR0EO0GR0GU0GY2Ga7He9HiCHlEHnKGmOGmTGlXEl`E\ kdEkgCjkCjnCirBiuBgyBgz9fz9fz9ez9ezLjxUnqasjivfeqd\ alaZgYflUlqQruLxyKzqHziHz`GzREzGEz2Qz4Ys4fj4mZ7uO7\ zB7z07z0Nz0Zz0jz2tz2zs2rg2fX2UH2E020K00X00i04s07z0\ 9z0Zz0Xz2Wz7WzCUyGUuLTqOT } 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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Spidrons
by Tony Hanmer 21 May '08

21 May '08

A relatively new area of geometry, with much to explore in 2d and 3d, and much which could be developed in various fractal programmes. See: http://www.szinhaz.hu/edan/SpidroNew/ Tony Hanmer Tbilisi, Republic of Georgia www.geosynchronicity.blogspot.com

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FOTD 21-05-08 (Ghostly Apparition [8])
by Jim Muth 21 May '08

21 May '08

FOTD -- May 21, 2008 (Rating 8) Fractal visionaries and enthusiasts: I named today's image "Ghostly Apparition" because the minibrot near its center barely exists. The spooky apparition manifested itself when I combined 6 negative parts of Z^(-1.66) with one negative part of Z^(-6.6) and added (1/C). The parent fractal consists of a number of irregularly shaped bays surrounded by countless interesting nooks and crannies to explore. But instead of exploring the nooks, I checked a blob of material near the inside center of the fractal, near the point where two large bays appear to merge. I found there a strange arrangement of bits and pieces, which when enlarged formed the skeletal outline of a ghostly minibrot. To return the ghost to life, I rendered the scene with the inside set to 'bof60' and the outside set to 'atan'. The result is an image different enough to rate a 8. The calculation time of under 11 seconds can hardly be a burden. And the already-calculated image is posted for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> About a week ago I told of a 152-year-old book I recently found in a local antique emporium while tagging along with fractal lady on one of her antiquing expeditions. The book is a popular- ized presentation of the scientific and practical knowledge of the day. Some of the old ideas are now absurdly, almost comically wrong, while others are still totally accurate, and still others, such as how to shoe a horse, and how to bank a fire, are still true, but of importance to very few. While idly turning the weathered and stained pages, I sometimes wonder how our current scientific and practical ideas will seem 152 years from today. Will our descendants laugh at our futile search for a 'theory of (almost) everything'? Will they wonder how we could possibly fail to grasp the obvious (to them) mean- ing of our own quantum discoveries? Will they shake their heads at our silly addiction to 'cell phones' and the rhythmic noise we now call music? But most frightening of all, are we now see- ing the beginning of a new era of techno-civilization or is it actually the start of a neo-dark age? Rain fell steadily all morning and most of the afternoon here at Fractal Central on Tuesday, while the temperature hovered just above 50F 10C. The fractal cats spent the day looking for the catnip rat, which they have somehow misplaced. I spent the day working and thinking deep (IMO) thoughts. The next FOTD will be posted in 24 hours or so. Until then, take care, and I had a clever closing comment in mind, but I forgot to write it down, and have since forgotten it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Ghostly_Apparition { ; time=0:00:10.55-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+0.12324718494693840/-0.146235048606272\ 10/133.4492/1/50/0 params=-1/-6.6/-6/-1.66/0/0/0/0 float=y maxiter=1500 bailout=10000 inside=bof60 outside=atan periodicity=10 colors=000v`SvYQvWPuTOuRNuPM8CmCBnGAoK9oO8pR8pQBlP\ EiOHeOKbNNZMQWMSSLVPKYLK`IJcEIfBHo7Ik8Ih8Je8Jb8K_9\ KX9LU9LR9PI0NL5LO9JREHUIFXMD_RBbV9eZBdWDcUFcSHbPJb\ NAFgAGhAHiAIjAJkAKlBLmCMnCNoDOpDPqEQrERsEStFTuFUvG\ VvGVxGVyHVyHVxIVvIUwJUvJTvKSuKRtLQtLQsLPsMOrMNrNMq\ NLqOLpOKpPJpPIpPIoQHnQGmRFmRElSElSDkTCkTBjRAkTBjUC\ jVDiXDiYEhZFh_FgaGgbHfcHfeIefJegJdhKdjLckLclMbnNbo\ NapOaqP`sP`tQ_uR_vR_rQZoPZkOZhNZeNZaMZZLZWKYSJYPJY\ MIYIHYFGYCGYCEWCDVCCTCBSCAQC9PC7NC6MC5KC4JC3HC2GD4\ FE5FF6FG8FH9FIAEJBEJDEKEELFEMGDNIDOJDPKDQLDQNCROCS\ PCTQCUSCVTBWUBXVBXXBYYBZZA__A`aAabAbcAec5bdA_eFXfJ\ UgORhTNk_PhXQeVRbTS_QTXOUUMVRJWOHXLFYICZFA_C8`A6ZC\ 8YD9XFAWGBVICUJETKFSMGRNHQPIPQKORLNTMMUNLWOKXPIYRH\ _SG`TFbUEcVDdXCfYBgZAi_9j`8kb7mc6nd5pe4qf3rgSigp`g\ gVJfZHc_EeaGgbIhcJjeLkfMmgOnhPpjRrkTslUunWvoXxpZzv\ bys`yq_xnZxlYxiWwgVweUwbT } 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 20-05-08 (The Total Distance [6])
by Jim Muth 20 May '08

20 May '08

FOTD -- May 20, 2008 (Rating 6) Fractal visionaries and enthusiasts: After all these years, I think I might be growing bored with quadratic minibrots. But despite my best efforts, the ubiquitous things keep coming. Today's little fellow lies in the parent fractal generated when negative Z^(1.25) is combined with negative Z^(3) and (C) is added. This parent is shaped somewhat like a lopsided eggplant, with some pretty ordinary Mandelbrot buds on the east shore but a more chaotic landscape along the west shore. A very prominent minibrot lies a bit inland on the western shore, and today's scene is located in the East Valley of this minibrot. Today's FOTD is a full five point improvement over yesterday's. But yesterday's image rated only an abysmal 1, which means that today's rates a 6, a rating that, while not too bad, is nothing to celebrate either. I named the image "The Total Distance" since it was rendered with the 'outside' set to 'tdis', which colors the points according to the total distance they travel before escaping beyond the specified bailout radius. Perhaps the best thing about the image is its speedy calculation time of 1-1/4 minutes. And the next best thing is that the pre- rendered image is available for immediate viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> As the FOTD progresses, I find myself getting more and more involved in the philosophical aspects of fractals, which are so obviously made of numbers. But after trying to get through a few advanced books of quantum theory, I find that atoms are made of numbers also. And I wonder whether the quantum world determines the numbers or the numbers determine the quantum. I guess we might soon have to admit that the world, including ourselves is composed of numbers, which begs the question 'what are numbers?' Sometimes I wish I could return to the days when things were so much simpler, when I thought the real world was really real and atoms were tiny solar systems made of little orbiting particle-energy things which existed even when no one was looking. But like my faith in the mysterious invisible things of religion, my faith in the equally mysterious invisible things of science has vanished also. In my opinion, Santa Claus is unreal, God as described by religion is unreal, and atoms as described by science are unreal also. If it's all a dream however, who or what is doing the dreaming? Chilly and blustery conditions made Monday quite unseasonal here at Fractal Central. The temperature of 55F 13C and brisk winds made it feel more like mid-March than mid-May. The fractal cats watched the scudding clouds for a few minutes before they got into a spat over who would claim the best window shelf. Cassie won the dispute with a good slap on Nicholas' head. My day (Monday the 19th) was unexpectedly busy, and tomorrow (Tuesday the 20th) will be just as busy. But despite the rush, there will most likely be another FOTD posted in 24 hours. At this time, I'll make no predictions as to its potential quality. Until then, take care, and sometimes putting it off until later is the best choice. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Total_Distance { ; time=0:01:16.23-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-1.00704998814352/+0.2867813765415/3518\ 04.6/1/-23.5/0 params=-1/1.25/-1/3/0/0/0/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=10 colors=000uzeuzouruubukOuG5uV6ukLuuXuVzuRzuNzuLzuG\ zsBzm9zf3z_0zT0zN3zT9zYEzbIzfPzkTzoYzsbzuhwumruqou\ uiuuduu`uuXuuSuuQuuQuuQuuQuuQusQuoOumOuhOueOubOuYO\ uVOuTLuTJuTJuTGuRDuRDuRBuRBuP8uP6uP6uP5uP5uT6uV8uY\ Bu_DubGueJufLukOumQuoSuqVusXuuZuWBNZ5Pa5Rb5P`5P_5N\ Y5NV5LT8LRDIUFIUHG9SG3XE1`E0bN0dT0g_0if0lm0os0pu0r\ u0uu0wu0yu0zu0zu0zu0zu_`uu5uuguuzuozuezuRuuIruGouG\ luGduGZuESoEFhE5bE1VB0PB0IB0BB03B00eXEudTTzkVzfYze\ _z_buYblTedRfZNhSLhLIkSGmZEmbEoiBIz0ooBuLbu5uu5uu5\ uu5uu5uu5uu5uu5uu5uu5uo5uh5ue5sY5sR5ZI5hN5hP5hT5hV\ 5k_5fb5ee5bh5Yk5Vo5Rq5Pu5Lu5Iu56u5Gu5No5Tk5_f5f_5m\ VBsPGuLLuGSu9Xu3`u0du9guGguNguTgu_guhiuoiuuiuuiuui\ uuluuluuluuluuluuluuluulsuosuoquoquoouooupmupmupku\ pkuz0uphuphurfurfureureureuubuubuu_uu_uuYuwYuwVuwV\ uwTuOVuOYuLbuJeuGfuGkuDmuBouBquJsuQuuXuubusiuqpuow\ umzukzuhzuGzufzuuzuuzm_5u } 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 19-05-08 (A Nothing Fractal [1])
by Jim Muth 19 May '08

19 May '08

FOTD -- May 19, 2008 (Rating 1) Fractal visionaries and enthusiasts: Warning: I'm in a strange mood today, so have fun. Since today's fractal image is nothing to write home about, or to write about anywhere else for that matter, I might as well start the discussion by broaching the topic of the nature of the mind and reality. Only a fool would claim it is foolish to waste time discussing the nature of reality, a problem which can never be solved. At the same time, only a fool would actually waste his time writing about it. Since I must be a fool, I will discuss the problem. But expect no solution. One thing I think is certain is that my awareness exists, though sometimes I doubt even this. I never ask myself where my awareness goes when I go to sleep. Only a fool would do so. But for countless days it has been there to greet me when I wake up in the morning, unchanged from the evening before. I am not foolish enough to wonder what it is that stays the same while the material of my brain as well as my thoughts constantly change, but it might be a soul, whatever that is. Oops, I just forgot that souls are supposed to be a by-product of the body, so this is no answer either. Let's make an assumption -- whatever my self-aware mind is, it does indeed exist, and it is somehow miraculously generated by the electro-chemical interactions of the neurons in my brain. If this is so, the question now becomes how unconscious matter can create self-awareness. I have read over a dozen books about this miracle, but I am no closer to grasping what is going on in my brain than I am to grasping what is going on in the quantum realm. But one thing for certain is that speculation among the cognitive scientists is currently rampant. One of the most recent theories is that I am a strange loop, whatever a strange loop is. I rather enjoy being a strange loop. It's rather like being a fractal, and if I am a fractal, then everything else must also be one. The universe is a big fractal, with God doing the iterating. (I assume He uses Fractint.) Oops, I forgot that God is supposed to be only a feel-good superstition. I have no idea where I'm going with this, so I guess it's time to turn to the fractal. As for that fractal, it's a disgrace. It's the first FOTD ever to rate a humiliating 1. And it doesn't even deserve its 1. It actually deserves a zero. The image lies in the parent fractal created by the formula Z^(1.618)+C when it is calculated at ground level of the log ladder with no function applied. I named the image "A Nothing Fractal", which is exactly what it is. At least the calculation time is a mercifully brief 41 seconds. And the finished image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Morning rain here at Fractal Central on Sunday was followed by early afternoon sun and late afternoon rain squalls, while the temperature hung around a very chilly 61F 16C. The fractal cats noticed the rain, but were more interested in the pigeons scrounging for sustenance on the sidewalk. For me the day was busier than I would have preferred, but not as busy as I might have feared. The next FOTD will be along, if I feel like doing one, in 24 hours or so. Until then, take care, and if nothing is really real, are illusions real? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Nothing_Fractal { ; time=0:00:41.47-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.567480167420823/-0.8351769720835365/\ 159.2013/1/-105/0 params=1.618/0/0/0 float=y maxiter=3600 inside=0 logmap=37 periodicity=10 colors=000w_`vZ_uYZtWYsVXqUWpSVnRTmQSlPRjNQiMPgLNf\ JMdILcHKbGJdEGfCDhBAj97l84gE6bJ8YNATRCOVEJZFKXILXL\ LXNMXQNXTNYVOZYO__P_bQ`eQ`gR`jS`mS`oT`rT`tHei6j_5q\ N4xB6wF8wI9vMBvPCuSEuWFtZHtbIseKshLrlNroOrrQsqRsqT\ tqUtqWuqXupZvp_vpavpbwpdwoexogxohyojyokyoYmlKai6Qg\ 8Rh9ShAShBThDThEUhFUhGVhIWhJWhKXhLXhNYhOYhPZhQZhbv\ kbul03z46v89rCCnGFjKIfOLbSOZWRV_URcXNg_JkbFoeBrg7m\ j9imAeoBdlGciKbgPadT`bX`_a_YeZViYTnXQrXOvVNsTMpRLm\ PKjNJgLIeJHbHG_FFXDEUBDS9CP7BM5AJ39G19E87CF6BL5ALW\ TLukNpjPliQhhScgT_fVWeXRdYNc_Jb`EabA`c6`gDekKioRnr\ YroWomVmjUjhZhecfchc`maZrZWvXUzVRzUOzTLzSIzRFzQCzP\ 9zOAzkEzjIzjMziPziTzhXzh`zhczggzgzzfzzfzzfzzczzazz\ _zzYzzWzzUzzSzzQzzPzzNzzMzzLzzJzzIzzGzzFzzEzzCzzBz\ zAzz9zz8zzAzzCzzDzzFzzHzzIzzKzzLzzNzzPzzQzzSzzUvzV\ rzXmzYhz_czaazb`zd_zfZzgYziYzjXziXzhXzgXzfXzeXzdXz\ cXzbXzaXz`Xz_XzZXzZWzXWzV } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 18-05-08 (Flight of Fancy [6])
by Jim Muth 18 May '08

18 May '08

FOTD -- May 18, 2008 (Rating 6) Fractal visionaries and enthusiasts: We're already 10 or 12 hours late with today's FOTD, so I'll keep the discussion short. Today's image is named "Flight of Fancy". It's an appropriate name. After all, are not all fractals flights of fancy? But we have seen many such squashed-pancake images over the history of the FOTD, making it difficult to rate today's image higher than a 6. Perhaps the main feature of the image is its celestial blue colors. The colors might be celestial, but fractals need more than just fancy colors to gain a superior rating. The parent fractal came about when I iterated the formula Z^(1.57)+C at a level 0.57 units up the logarithmic ladder, while applying no function. This parent reminds me of a sopping wet dish cloth slung over the edge of a shelf, but it has a curious something just off to the west of its main bay, with a trail of debris leading to this odd thing. Today's image is located where the debris joins the oddity. The calculation time of 4-2/3 minutes is barely within reason, so waste no time in setting up the included parameter file and running it. The image may also be seen on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Due to the odd hour of my posting, give Paul a chance to run the parameter file and post the finished image there. Saturday began sunny but unusually chilly here at Fractal Central. Dark clouds moved in during the afternoon, with several light showers passing over. The high temperature of 57F 14C was most un-springlike. The fractal cats ignored the weather, and spent the afternoon chasing each other up and down the hallway. In my section, things were rather busy, and will probably remain so for several weeks. The next FOTD will appear in around 12 hours. Until then, take care, and move forward. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Flight_of_Fancy { ; time=0:04:40.14-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident center-mag=-1.114717333522346/-0.1301401672941029/\ 3.823849e+009/1/-90/0 params=1.57/0/0.57/0 float=y maxiter=3600 inside=0 periodicity=10 colors=0008rX8rX7o_7ma6kd6if6gi5ek5cn5ap4_s4Yu4WwC\ _vJcvQgvXjvcnujruqvuxyuvwrtuorslqqioofmmdkkajiZhgW\ feTdcQcaOfeNhiMjmLlpLhmRdkX`haXfgTclParM_wNXrNUnNR\ jNOfOLbOJZOGUODQPAMP7IP4EP2AS6FVAJYDN`HRcLVfO_iScl\ WgoZkrbotespctlbtiate`ub_uZZuWYvSXvPWvLVwIWwEVzBWz\ 7Rz4OxCPnJOeQNXYMNdLEkL5lO6mR6nU6oX7p_7rb7td8ug8vj\ 8wm9xp9ys9zu9zwJzzSdiaZejTasX`n__ibZeeY`iYXlXSoWOr\ VJuVFrUHpUJnULlUNjTPhTRfTTdTUbSW`SYZS_XSaVRcTReRRg\ PRhROgSLgTJgVGgWDgXBgVEcTG`SIYQKVPNSNQPMTMKWJJZGHX\ IFUJDRLBOM9L07I05F03D05G06J07LP9OOARNBTNDWMEZLF`KH\ cJIfIJhINbTQXcTRnWLxZLkaL_dLOgLCiL0cK1YJ2SI3NI3HH4\ BG56G5IiFKdGL`GMXGNSHPOHQKHRFISBIT7IR6MP6QN5TM5XK5\ _I4cH4gF3jD3nC3qE4rF5rH7rI8sK9sLAsMCtODtPEuRFuSHuU\ IvVJvWKvTHrRFoPDkNBhL9dJ7aH5YF3VD1SH5PL8MPBKTEHWHE\ _KCcN9gQ6jT4dX4__4Vc4Qf4Li4Gm4Bp46s4DqBJpHQoNWnTal\ Zhkdnjjtipmdlf_i_Vf8sY8sY } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 17-05-08 (Under the Equinox [8])
by Jim Muth 16 May '08

16 May '08

FOTD -- May 17, 2008 (Rating 8) Fractal visionaries and enthusiasts: On a recent visit with fractal lady to one of the nearby antique emporiums, I came upon an old book printed in 1856 and titled "Wells's Familiar Science". Being in a state of moderate bore- dom, I opened it and found it to be a book of popularized science as science was understood in the middle of the 19th Century, with the text presented in a question-and-answer format. Since the price was quite reasonable, I purchased the book, which now lies on the desk beside me. I have yet to read it thoroughly, but the small part I have browsed through is quite interesting. It is surprising how much our scientific understanding of some phenomena have changed in the past 152 years, and how little our understanding of other phenomena have changed. The velocity of light is given as around 190,000 miles per second, a bit too fast. And there is a section explaining the constitution of the so-called luminiferous ether. One of the greatest questions about light at the time was what happens to it when it is absorbed by a dark body. The source of the sun's energy was a complete mystery, though it was speculated that the sun emits heat and light as a bell emits sound when it is struck, without exhausting its reservoir of sound. I'll relate further interesting tidbits from the book as I come upon them, but now we have a fractal to investigate. The fractal was generated by calculating the formula Z^(1.375)+C at a level 1.375 units down the logarithmic ladder, while applying no function. I'll not describe the parent fractal in much detail. It is basically a distorted Mandeloid standing on its head. Today's unusually gaudy scene is located in a small valley near the parent fractal's 'nose'. I gave the image the rather poetic name, "Under the Equinox", though I have since forgotten what moved me to give it this name. The rating of an 8 might be a bit optimistic, especially for an image with no true minibrot at its center. The central blue triangle is no real substitute. To add some extra zip, the image was rendered with the outside set to 'tdis'. The calculation time of 16-1/3 minutes is admittedly slow, but instant gratification is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Steady rain all day and a very un-springlike temperature of 52F 11C made Friday a day to be forgotten here at Fractal Central. The duo of fractal cats watched the dripping water for a few minutes, then viciously attacked their catnip rats and mice. My day was close to normal. The next semi-glorious FOTD will appear in 24 hours or so. Until then, take care, and don't be too sure of things you're not sure of. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Under_the_Equinox { ; time=0:16:21.46-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.05758293098342480/-0.989073028706620\ 60/2.569865e+007/1/152.5/0 params=1.375/0/-1.375/0 float=y maxiter=2200 inside=255 outside=tdis logmap=1175 periodicity=10 colors=000HJ4HN4HY4Hf4Nm2Ym2fn1qn1zq0zq0zs0zs0zu0z\ y0zw0qu0fs0Yq0Nn0Jn0Lm0Lk0Li0Nf0Nf0Ne0Pc0Pa0PZ0SZ0\ SY0SW0UU0US0US0UP0WN0WL0WJ0YJ0YH0YG0ZE0ZC0ZC0aA0a8\ 0a60m40w40z20zU0zZ0zZ0y00k10Z20Y40W60U80SA0PC0NE0L\ G0JH0HJ0GL0EN06W0CP0HL0LH0SE0YA0a62f26k0Cq0Gw0Jz0P\ z0Uz0Yz0Uz0Sy0Pw0Ns0Ln0Jk0Hi0Ee0Ca0AY08W06S04N02L0\ 1H00E10A108204201400600600800800A00C00C00E00E00C00\ C00C00C00C00C00C00C00C00C00A00A20A40A80AA0AC0AG0AH\ 0AL0AN08S08U08W08Z08a08e08f08k08m08n0Am0Am0Am0Ak0A\ k0Ak0Ai0Ai0Ai0Ai0Af0Af0Af0Ae0Ae0Ae0Ae0Ac0Ac0Ac0Aa0\ Aa0Aa0Aa0AZ0AZ0AZ0AY0AY0AY0AY0AW0AW0AW0AU0AU0AU0AU\ 0AS0AS0AS0AP0AP0AP0AP0CN0CL0EJ0EJ0GH0GG0HG0HE0JC0J\ A0LA1L84N66N68P4AP2ES1GS1HU0LU0NW0PW0UY0WY0YZ0aZ0c\ a0ea0fc0kc0me0ne0sf0uf0wi0zi0zk0zk0zm0zm0zn0zn0zm0\ zm0zk0zk0zi0zi0zf0wf0qf0me0ke0fc0ec0ca0Za0YZ0WZ0SZ\ 0PY0NY0JW0HW0GU0CU0AU08zz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 16-05-08 (Celestial Festival [7])
by Jim Muth 16 May '08

16 May '08

FOTD -- May 16, 2005 (Rating 7) Fractal visionaries and enthusiasts: When I was but a small child, I was fascinated by the sound produced by striking the top of the metal bed post with a coin. The indescribable sound was strangely familiar. I was sure I had heard it long before but had forgotten where. Then quite a few years later, I heard the same sound on a record of unusual sound effects, with the note that the sound reminds most people of something very familiar from the distant past, but long ago forgotten. We'll file the nature of this haunting sound as mystery of life number 13,702. Today's fractal is not nearly as mysterious. It is a scene in the parent fractal that results when 4.5 negative parts of Z^(-1.05) are combined with 0.8 negative parts of Z^(-8.8) and (1/C) is added. This parent fractal is a grossly inflated thing requiring several outzooms to fit onto the screen, and featuring an incredible feather-like 'fan' attached to an even larger circular bay. Today's scene skips the 'fan', and is found instead at the end of a filament extending from a bud on the shore of the circular bay, and terminating in a scalloped ring. I named the image "Celestial Festival", not that there's anything particularly heavenly about it. Then I rated it at a 7, which is not at all a bad rating. With a running time of 31 seconds, the included parameter file will bring the agony of impatience to no one. The finished image is or soon will be posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Partly cloudy and mild weather prevailed here at Fractal Central on Thursday, with a high temperature of 72F 22C. The fractal cats greeted the periods of sunshine with enthusiasm. My day slowed down as the day progressed, but there was still a bit of hastiness when FOTD time arrived. The next FOTD will be posted in 24 hours. Until then, take care, and when the world turns against you, open a gift shop selling candles, teddy bears, and pseudo-country items with feel- good slogans on them. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Celestial_Festival { ; time=0:00:31.15-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=-3.777300433225537/-0.4621972219516149/\ 1.218883e+009/1/-80/0 params=-4.5/-1.05/-0.8/-8.8/\ 0/0/0/0 float=y maxiter=1100 inside=0 logmap=86 periodicity=10 mathtolerance=0.05/1 colors=000FSQAOKBOKBNKBNKBMKBMKBLKBLKBKKBKLBKLBKMB\ KMBLNBKNBJJBJLBIKBHJBGJBEIBCHBAGB8GDCJFGMGJPINSKQU\ LUXNY_P`bQdeSggUkjVomXrpZvs_yuaxscwqevpgunhuljtkls\ inrgorfnpdnobnnamm_mlZmkXmjWlhUlgTlfRkeQkdOkcNkbLj\ `Kj_IjZHiYFiXEiWCiVBkSClQDmOEnLEpJFnHGoEGiCHkAIf7I\ g5Jb3Kc1KiEVUQeFazH`zJ_zLZzMYzOYzQXvRWrTVpVUpWUpXS\ nXRmXPkXOjXMhYLgYJeYIdYGbYFaZE`ZCZZBYZ9WZ8V_6T_5S_\ 3Q_2P_1Oc`AhfEmkHrpLvuOzzRzyQzyPzyPzyOzxNzxNzxMzxM\ zxLzwKzwKzwJzwJJvIKvHLvHMvGNvGOuFPuEQuERuDSuDQtHOt\ KMsOKsRIrVGrYEr`CqdAqg8pk6pn4or2ou1ox2mu3ls4kq5jo6\ il7hj8gh9ff9ed8ac8Yc8Ub8Qb7Mb7Ia7Ea7Aa8Cb9EcAGcBId\ CKeDMeEOfFQgGRgHThIViJXiKZjL`kMbkNhlOmmPrmRviSzeTz\ bUzZVzWWzSzzPzzLzzIzzEzzBzzEzzHTzKRzNPzQMzTKzWIzZF\ zaDzdzzfzzdzzczzazz`zzZzzYzzWYzV`zUczSezRhzPkzOnzM\ qzLszKozJkzIgzIczH`zHXzGTzGPzFMzFLzEKzDJzCIzBIzAHz\ 9Gz8Fz7Fz7Gz9GzAWzDQz8KzH } 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 15-05-08 (Looping the Loop [No Rating])
by Jim Muth 15 May '08

15 May '08

FOTD -- May 15, 2008 (No Rating) Fractal visionaries and enthusiasts: Due to the busy conditions here at Fractal Central, today's FOTD is a very hasty one that deserves no rating. The unusually fast image lies in the fractal that results when the formula Z^(1.37)+C is iterated at level 1.37 of the complex log ladder when no function is applied. This parent fractal is shaped something like a garden mole pulling itself halfway out of its burrow. The mole's head appears as a large period-2 bud, with a pointed snout. Today's scene is located on a zigzag filament in a clump of debris on the northeast shore of the main bay. To add a bit of interest, the image was rendered with the outside set to 'tdis'. I named the image "Looping the Loop" for no good reason. The fireball-fast calculation time of under 23 seconds is made possible by the unusually small magnitude of 35. And as always, the finished image is available for immediate viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Wednesday started sunny here at Fractal Central, but by noon the sky had clouded over, and by late afternoon light rain had moved in. The fractal cats observed all this with disinterest. In my department the day was unusually busy. Thursday will be another busy day, though not as hectic as Wednesday. If all goes as planned the next FOTD, as unimpressive as it might be, will be posted in 24 hours. Until then, take care, and search for good fractal fortune. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Looping_the_Loop { ; time=0:00:22.81-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident center-mag=0.802447/0.710266/35.36239/1/77.5/0 params=1.37/0/1.37/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=10 colors=000uzlrzkozklzjizjfzjczi`ziZzibzdez`hzXkzTc\ zZWzdOzjGzplzjazfSzbIzZ8zWBzSEzPGzLJAIMAFOABNA8LA5\ FA98AD8AH8AL9AP6GTDIWJKYQM_WObbQdhSfnThocjpnljjief\ g_ceV_cQXaRYdSYfSYiTZkTZnUZpUZrWXoYWm_Vk`UhbTfdSde\ RagQ_iPYjOWQagP`dP_aPZZPYWPXTPWRPVOPULPTIPSFPSDMV9\ JY6G`2Db0JZ8OVGTRPZNXcJehGmgOkfVieagdhecod_m_WkVTi\ QPgMMeHIcCFa8MZ9SXAZVAdSBkQCqOCoOEmOGkOIiOKgOMeOOc\ OQdQRdRSdTSdUTdVTeXUeYVe_Ve`WeaWccYbe_`fa_zbZzdXzf\ WzgVziTzkSzlQznPzpOzqMzsLzuKzvGzpCzk8zezz`zzWzz_zz\ czzfzzjzzmzzjzzgzzdzzazzZzzWzzTzzQzzNzzKzzHzzEzzBz\ z8zz5zzIzzVzzfzzczz_zzWzzSzzPzzLzzHzzDzz8zz9zz9zz9\ zzAzzAzzAzz4zz6zz8zzAzzCzzEzzGzzIczK`zJYzIVzHSzGPz\ FMzEBzAJzDGzCDzBlzk_zZNzM0zE2zD3zD4zC5zC6zC7zB8zB9\ zAAzATzbSz`Rz_QzZPzXOzWOzVNzTMzSLzRKzPKzOJzNIzLHzK\ GzJFzHFzGEzFDzDCzCBzBIz1Hz2Gz3Gz4Fz4Fz5Ez6Dz7Dz7Cz\ 8Cz9BzAYzYWzWUzUOz1Pz0Qz0 } 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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Fractint version 20.4 patch 8
by Jonathan Osuch 15 May '08

15 May '08

Folks, Fractint (and Xfractint and Winfract) version 20.4 patch 8 is now available on the developer's web sites: www.fractint.org or www.fractint.net What's new: Fixed a bug in the virtual video code where the screen width was being reduced when going from a text screen back to the graphics screen. Revised logic that calculates the maximum X and Y resolutions possible with a given initial virtual screen size. Because of the variable type being used, the maximum size is 32767 even if sufficient video memory is available to support higher resolutions. Added back in code that forces passes=1 when either the X or Y resolution is greater than 2048. This was inadvertently removed with patch 5, and is needed because other passes= options are hard coded to use arrays of this size. Xfractint changes: Jean-Pierre Demailly provided extensive changes to eliminate the use of ncurses with Xfractint and also updated the MakeFile. Included a patch from Andrew Church and the people at Gentoo that fixes a filename buffer overflow that affected the help compiler. Also included their xioerror patch. Fixed a seg fault in Xfractint caused by not unstacking all the screens before exiting. Removed the shell-to-DOS option in Xfractint. Jonathan

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