July 2005 - Fractint - mailman.xmission.com

FOTD 16-07-05 (A Fractal Image [3])
by Jim Muth 16 Jul '05

16 Jul '05

FOTD -- July 16, 2005 (Rating 3) Fractal visionaries and enthusiasts: It is 4:05pm. Today's FOTD is late due to a heavy storm and power outage from noon until 3:30pm. But things are now back to normal. I am disappointed with today's image. When I first saw the parent fractal, which was created by combining 2 parts of Z^(-0.1) with Z^2 and adding C, I had high hopes for a great image. But alas, my hopes were in vain. The parent fractal appears quite interesting on the surface, but deep inside it has little of worth. Totally uninspired with the outcome of the day's exploration, I named the image "A Fractal Image" and rated it at a lowly 3. The parameter file, which takes 23 minutes to run, is far too slow for such an unimpressive image. A far more efficient way of viewing the humdrum fractal is to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> 88F 31C degree heat and high humidity made things uncomfortable for humans on Friday, but no rain fell, giving the cats a dry afternoon in the holly thicket. When dusk arrived, they came inside for their tuna treats without complaint. Today is starting the same, but distant thunder is grumbling. Unless it storms, today will likely be another acceptable day for the duo. For me, it will likely be an uneventful day. The next fractal will come from nowhere and will appear as the next FOTD in 24 hours. Hopefully, it will be an improvement over today's. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Fractal_Image { ; time=0:23:38.98--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-1.97782662172448200/+0.444979621904237\ 80/2.368234e+010 params=2/-0.1/1/2/0/0 float=y maxiter=7200 inside=0 symmetry=none periodicity=10 mathtolerance=0.05/1 colors=000Y4UW5UV6pU7kT8gS9cRAZQAVPBROCMNDIMEELF9K\ G5JG1LI3MK5NM7PO9QQBRRDSTFUVHVXJWZLX_N_VPaRQcNSeJT\ hEUjAWl6Xn2Yk5Wi8UfBTdERaHP_KOXNMVQKSTJQWHNZFLaEId\ CGgB9MH21N48P6EQ8KRARTCXUEbVGhWFiVEjUDjUCkTBkSAlS9\ mR9mQ8nQ7nP6oO5pO4pN3qM3qM2qK2qJ2qH2qG2qE2qD5gA8Y7\ AP5AO8AOAAOCAOFAOHAOJAOMAOOANQANTANVANXAN_ANaANcAN\ eGLhMKjSImXHoUGnSFmPEmNDlLDlOGjRJhTMfWPdYSb`U`bXZe\ _XgbVjeTlgSkdPjbMi`JhYGgWEfUBeR8dP5dN3eL7fKBgJEhII\ iHLjFPkESlDWmCZnBboAepDfpGfpIgqLgqOhqQhqThrWirYir`\ jscjsekshksjkrigqicqi_piWohTohPnhLmhHmhEaiFQjFEkF3\ kF2lG2lH2mH2mI2mI7kJBjKFiLJhMNgMRfNVeOZdPbcQfbQjaR\ n`Sr_TvZUzYUy_PyaLxcHxeCwg8wi4vg8vfBveEvdIvcLvbOva\ Ru`Vu_YuZ`uYcuXguWjuVmuUpvSqvRqvQqwOqwNqwMrxKrxJrx\ IrxHrtIqqJpnKokLohMneNmbOm_OlWPkTQkQRjNSiKTiHUhEVg\ BVgCXhDZiE_jFakGckHdlIfmJhnKinNflPdjRbhU`gHDOYXc`V\ abS`dQZgOXiMVVCyWAyX8yY6y } frm:MandelbrotMix4 {; 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, 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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FRACTINT.CFG; A zoom of Jim Muth's FoTD for Jul 09, 2005 "A Purrfect Fractal"
by Hal Lane 16 Jul '05

16 Jul '05

############################################################### This zoom of Jim's FoTD for Jul 09, 2005, "A Purrfect Fractal," changes the color balance of the overall image, shows a larger Mandelbrot midget and reveals interesting details which were too small to see in the original fractal. Although not really an exceptional fractal, I think it is a pleasant fractal. It seems that I just always want to see the details around that midget just a little bit more clearly, so I am compelled to zoom in... Unfortunately, this fractal takes a while to calculate -- an hour and a half on my P400. Perhaps you could calculate it as a background fractal as I did using Fractint's "Disk / RAM 'Video'" feature (in the video mode selection choices). -------------------------------------------------------------- FRACTINT.CFG Incidentally, I found that it was easy to add new "Disk / RAM 'Video'" entries to create fractals of X and Y sizes not originally in the list of available sizes. I did this by adding new lines to the video table in the text format video configuration file: FRACTINT.CFG. I just duplicated an existing "Disk / RAM 'Video'" table entry and changed the X and Y values. I used X to Y ratios of 4 to 3, although that is not necessary. Where the new entries are located in the table is not important. Now, when I choose Fractint's video mode using the Del key, my new video modes can be scrolled down to and selected and used without any problems. Don't forget that you still have to save your fractal after it has been calculated using the "Disk / RAM 'Video'" feature... Note that modern computers have enough RAM so that Fractint essentially never uses the disk for simulating video memory. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START PARAMETER FILE======================================= A_Purrfect_Zoom_B {; Hal Lane 7-12-05 1:34:34 P400 1024x768 ; Zoom of Jim Muth's Fractal of the day, ; Jul 09, 2005 reset=2004 type=formula formulafile=pastengo.par formulaname=mandelbrotmix4 function=ident passes=1 center-mag=-1.20780406270965200/+12.0583392144561100\ 0/652659.5/1/87.5000000003850431/-3.7855085177618264\ e-009 params=-1/1.01/1/-1/0/525 float=y maxiter=15000 inside=0 outside=summ periodicity=10 sound=off colors=000TLm<3>aFhcEgeCf<2>l8bn7aoCd<3>qVnq_pqcr<3>\ mbTlaNkaGjaAja4AJp<3>EbrEfrFkrGpsHusHys<3>SmSVjLYgE_\ d7<9>`QG`PH`NI<3>`IL<4>QKMNKMLKM<3>DLM<5>PO_RObTPd<3\ >_Qm<3>ORgLRfISe<2>9Sa7S`6VZ<3>4dT3gR2jP<2>1qL<3>ETQ\ HNRKHSNBTQ5U_8YhAa<6>_OdZQeXSe<3>TZf<3>nve<3>aaUYXSV\ SPSNMPIJMDH<8>INAIO9HP8<2>GS6GT6HV7<5>KaBKbCLcD<3>Nh\ FNZGOUHOOHOLDO39<3>cG2<2>atziwrqykEaC<2>FZnRKE<3>W87\ PN8I`9JcPElbKecz3b1fO8gZEghu5YJbf<2>KfonGwgu5_pMSkbz\ OHEiBC45GOU6rKOVzYF7YeVRfff5tZIsRVrnWFhfQWgdWM9SUPO`\ czlgkjkYhoVCoRNpNYqUapSVz<2>Mdt4`ATh8IYKJaWKdggLFr`b\ 1a_8cfEelelQ2sl_4eUIjPVnMNpNOpOOpRMn } frm:MandelbrotMix4 {; 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, 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====================================== ######################################################## -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.323 / Virus Database: 267.8.15/49 - Release Date: 7/14/05

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FOTD 15-07-05 (The Wheel of Life [7])
by Jim Muth 15 Jul '05

15 Jul '05

FOTD -- July 15, 2005 (Rating 7) Fractal visionaries and enthusiasts: To create the parent fractal of today's image I took negative recip(sqrt(Z)) and combined it with Z^2 before adding (1/C). The resulting fractal is a very distorted main Mandeloid with twisted disconnected filaments scattered to its east and a large hole not far to its south, which is connected to the main Mandeloid. Today's scene lies on a tiny side filament extending from the large hole. I named the image "The Wheel of Life". Trying to organize my philosophy, I have worked myself into a kind of mystical mood lately, and the name fits my mood. Instead of the usual black background, today's image has a brilliant white background, which emphasizes the many sub-holes scattered through it. The rating of a 7 seems about right. The colors are quite intense, perhaps a bit too intense, and the 'tdis' outside option works quite well at bringing a sense of 3-D reality to the image. The magnitude of the image is in the range where strange things start to happen with its size unless the mathtolerance entry is included in the parameter file. The render time of 5 minutes is joyfully fast, giving impatience little time to rear its head. Those with machines that are allergic to Fractint may see the image by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a high temperature of 86F 30C, Thursday turned out to be not unbearably warm, but it was very humid here at Fractal Central. Fractal cats are un-bothered by high humidity however, unless it starts to fall as rain. No rain fell while the cats were taking it easy in the holly thicket, so I guess their day must be considered a success. Today is starting much the same. If the rain holds off again, it will be another good day. For me, the work is starting to pile up and it looks like a busy day. The next FOTD will appear in 24 hours. Until then, take care, and keep your day in tune. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Wheel_of_Life { ; time=0:05:04.78--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.72352856661089870/-0.132149562601626\ 40/4.256858e+012/1.0001/37.503580311835151/-0.0068\ 0660533600676437 params=-1/-0.5/1/2/0/0 float=y maxiter=1200 inside=253 outside=tdis periodicity=10 mathtolerance=0.05/1 colors=000OObPPcRQeTRgUShWUjXVkZWm_XnaYpbZqY`pUbpQ\ dpMfpHhoDjo9lo5mo6lk7kh7kd8ja9jY9iVAiRBhOBhLGfOKeR\ PdUTcWXbZaaae`cj_fnZirYkh_gZadQc`GeY7fV8`X9VYAPZBJ\ `CDaD8bJA`OBZUDXZEVdFTiHRoIPtJNoKPjLQeMRaNSXOTSPVN\ QWJRXESY9TZ5T_AUXFVVJWSOXQSYOXZLa_Je`GjaEnaCkbEhbG\ ecIadLZdNWePTeRQfTNfVOdKObAO`0TSCXKN`BYd3he4ef4cf5\ `g5Zg6Xh6Uh7Si7Pi8Nj8Lj9Ik9Gk9EgADdAC`ABYAAVB9RB8O\ B7KB6HC5EC4AC37C24C15I26N37S47X58a69f79k8CcGFXNIQV\ LJaOCiQ5pMCrIItEOvAUx6_y7`s7am7ag8ba8bW8cQ8cLDcOHc\ QLcTPcVTcYXc_acaecdicfmciqckucmrgopkpmnqkrriusnTYs\ 1DkAGcJIWSLO_NGhQ8qS0yU4wV7uVAsVDqWHoWKmWNkXQiXUgX\ XeY_cYbaYf_ZiYZlWZoUZnTXnSWmRVmRUlQTlPSkORkOQjNPjM\ OjMNfNMcNL_NLXNKTNJQNJMNIJNImpfgfcbX`YNYTDVO3SQ7QR\ APSDOTGNUJMWMKXPJYSIZVH_YGa`EbcDcfCdiBelAfk9gj9hi9\ hh9ig9jf9je9kd9lc9lb9ma9n`9n_9oZ9pY9pY9lZDi_Ge`Kba\ NZbQWcUSdXPe_UEZzrzODMMM` } frm:MandelbrotMix4 {; 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, 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 14-07-05 (Electron Clouds [7])
by Jim Muth 14 Jul '05

14 Jul '05

FOTD -- July 14, 2005 (Rating 7) Fractal visionaries and enthusiasts: For the past two days I have said that the "Hanging Garden" image of July 12 contains midgets. Today's image proves it. Today's "Electron Clouds" scene exists in the "Hanging Garden" image of two days ago, where it was hiding itself among the garland of flowers spanning the sky. Today's image consists mostly of inside stuff. To make this stuff visible I have rendered the image with the inside set to 'zmag', one of the slower inside options, which I rarely use, but which, in today's fractal, works better than any other inside option. The name "Electron Clouds" is a reference to my wonder years, when I was just discovering science and the nature of the world in which we live. (That sense of wonder is now shared by the world of fractals.) Back then, I visualized an atom as a kind of miniature solar system, with a central nucleus like a boiling raspberry and tiny material electrons circling the nucleus like shiny silver planets. When I asked my high school physics teacher what those electrons are made of, and what they actually look like, he replied that I was a philosopher, and told me that I would be a good physicist. At the time, this puzzled me. I thought that physics was about as far from philosophy as it is possible to get. I have since learned that he was not as wrong as I had supposed. Electrons, as well as all the other atomic and sub-atomic things, are too small to reflect light, and therefore do not possess the attribute we call appearance. Asking how they look is meaningless. An atom that resembles a miniature solar system is only a mental model, a philosophical idea which makes it easier for us to think about atoms. The real question is what, if anything, is really down there, serving as the building blocks of physical matter. (Or could it all be an illusion, and if so, what is having the illusion?) Well, I see myself drifting from the topic of fractals, into the field of philosophy, about which I will have much to say in the near future. But for now, it's time to get back to the fractal basics. In my opinion, today's image is worth the 7 I have given it, even though I had to hurry a bit when coloring it. The render time of 35 minutes is slow, but the medicine for impatience is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where the completed GIF image can be downloaded. The air was sopping wet with humidity here at Fractal Central on Wednesday, while the temperature reached a high of 88F 31C even with the heavy clouds. But luckily for the duo, no rain fell, permitting them a full afternoon and evening in the holly patch. At nightfall they came inside without coaxing to enjoy their evening treat of tuna. Today is starting in a similar manner, so, unless it rains, I expect similar things from the cats. The next fractal will appear by near-magic 24 hours from now. Until then, take care, and what is an electron cloud made of? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Electron_Clouds { ; time=0:35:49.12--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-18.52288803632655000/-1.37150093362403\ 200/73.30452/1/-102.5/1.14376633164603447e-011 params=-0.99/1.01/0.99/-1/0/3600 float=y maxiter=1000 inside=zmag periodicity=10 colors=000H8kJ9lKBnMCoNEqPGrQHtSJvSJwSJyQLwQLwQMwQ\ MwQOvPOvPPvPPvPRtPRtPStNStNUtNUrNWrNWrMXrMXqMZqMZq\ M_qM_qKaoKaoKcoKcoKdnJdnJfnJfnJglJglJilHilHklHkkHl\ kHlkFnkFniFoiFoiFqiHqgFqiFpiEpiEpiCoiCoiAoiAoi9nk9\ nk7nk7nk6mk6nk5mk5nk6nl7nn7nn9no9oqAoqAorCotCptEqv\ FqwFqwHqyHrzJrzJrzKrzKtzMtzMtzNtzPtzPvzQvzQvzSvzSw\ zUwzUwzVwzXwzXxzYyzYyz_yz_zzazzazzbzzdzzbzzbzzbyzb\ yzayzawzawzavzavz_vz_tz_tz_rz_rzYrzYqzYqzYozYozXoz\ XnzXnzXnzXlzVlzVkzVkzVkzVizUizUgzUgzUgzUfzSfzSdzSd\ zSdzSczQczQczQazQazQ_zP_zP_zPZzPZzPXzNXzNXzNWzNWzN\ UzMUzMUzMSzMSzMSzMRzMRzNPzNPzNOzNOyNOyPMwPMwPLvPLt\ QLtRJrSJrTHqUHqVGoWGoXGnYEnZEl_Cl_CkZCkYBiXBiWBgVB\ gUBgTBfSBeRBcQBcPBcOBaNBaMB_LB_KBZJ9XI9XH9WG9VF9VE\ 9SD9SC9SB9RA9R99Q79Q79Q69O69O79I69N69R59X59_59d59g\ 59l59o59t59w59z59z59z59z58z58z58z58z58z58w58v68r67\ q77n77l97k97iA7gC7fE7gF7i } frm:MandelbrotMix4 {; 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, 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 13-07-05 (Enriched [4])
by Jim Muth 13 Jul '05

13 Jul '05

FOTD -- July 13, 2005 (Rating 4) Fractal visionaries and enthusiasts: In yesterday's discussion I said that in today's image I would show a midget that lurks unseen in yesterday's image. Indeed, I have found such a midget and finished the image, but before posting it, I wanted to post today's image, which has been sitting in my 'future FOTD' directory for several weeks. Today's scene is located in a small valley in the oversized fractal that results when portions of Z^(-1.1) and Z^(-11.1) are combined and (1/C) is added. For some unknown reason, when I found it about a month ago, I named it "Enriched". It is hard to imagine why I would give a below-average image such a name. The rating of a 4 is all I could do for today's image, which is little more than a retelling of a fractal story that has been told again and again in the classic Mandelbrot set. The 9-1/2 minute render time is a bit slow for such an un-notable fractal, but the wait may be eliminated by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a temperature of 93F 34C and high humidity to contend with, the fractal duo avoided as much activity as possible on Tuesday. They spent the entire day lurking in the holly thicket, always alert for danger. Today is starting foggy and warm. If the fog burns off, it will be a repeat of yesterday. For me, the work is once again getting behind, so it will be a busy day. The next fractal will appear in 24 hours. Until then, take care, and why doesn't it all make sense. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Enriched { ; time=0:09:38.20--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.23055178797188210/-1.664362889754432\ 00/7.164018e+008/1/85/0.000159799720913900156 params=1/-1.1/0.1/-11.1/0/0 float=y maxiter=1200 inside=0 periodicity=10 colors=000DWUF_QGdMFgAHhJJiRLjZIlkMkfQjaTjXXiT_iOc\ hJaeDdgEfhFhiFkjGmkGolHtkGslHrlHqmHpmIonInnInnIlkK\ kiMjgOieQhcSUv_`kXgaUnRRzNXzUSuHOrEJpBFb8Ak66j8CiA\ IhCOgDUfF_eHedJkdKqNJb34K4BM5IO6PQ7VR8aT9hVguYWrXL\ pWAnWFN2UR3hV4wY4oZAh_Fa_LU`QN`WGa`4di9aeEZaJWZNUV\ SRSXOObFRaJO`ML_PJZSG_Q4YVEW_NX4cWM_VcWUzXVxVVvUVu\ TVsSVqRbvWVpQOkKHfE5c1Aa8F_EKYKPWRUUX`FS_KWZO_ZTbY\ XfXajXemWjqAh7IjOPldWntShoOcjKZeGU`WGjPJeJM`DPWElO\ AaQ4OV7SRAWOCZLFbIIfFKiCPZJTPQXEX`4c_5c_5bZ5bZ5bZ5\ bY5bY5aX6aX6aW6aW6aV6`V6`V7`U7`U7`N9YT7_T7_S7_S8_R\ 8_R8ZR8ZQ8ZQ8ZP9ZP9YO9YO9YN9YN9YexhdwgdYgnugibgwvg\ chfbrvbqfbpfbofaozaneame`le`ke`ke_je_id_hd_gdZfdZf\ dZedYdcYccYbcXbcXacX`cX_bWZbWZbWYbVXbVWaVVaVUaUUaU\ TaUSaTR`TQ`TQ`SP`SO`SN`SM_RM_RL_RK_QJ_QI_QHZPHZPGZ\ PFZj`ESgS1tx6qnUwUZUL8MRcz0EkWGX_CoQFZXIIcI2DG4JE6\ OD8UBAZ9Cd69m8Ei9IeBNaCRY } frm:MandelbrotMix4 {; 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, 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 12-07-05 (Hanging Gardens [5])
by Jim Muth 12 Jul '05

12 Jul '05

FOTD -- July 12, 2005 (Rating 5) Fractal visionaries and enthusiasts: There is a curious phenomenon well known to artists, which I call circular improvement. It happens when an artist studies his work and decides that something needs to be changed to improve the work. When the change is made, he sees another change that would improve it further. Finally, after numerous changes, every one of which brings a small improvement, he compares the revised work to the work as it stood before he began the revisions. Surprise! The original version is in some ways better than the much revised version. This same thing happened to me as I worked on the colors of today's image. After many color revisions, I found myself back where I started. To produce today's fractal I made a very small change to the parameters of yesterday's image. The tiny change opened the spurious area of chaos into a whole new world of exploration. I have just begun the exploration, but already I have found several scenes worth additional effort. Today's image is named "Hanging Gardens". No, we are not back in ancient Babylon, we are in a fractal in the present-day era of advanced technology that is leading us to who-knows-what. The scene resembles a mountainous terrain with a garland of flowery decorations stretching across the sky. The garland appears to be hanging from nothing, thus the name. Though my trademark midget is nowhere to be seen in today's image, countless midgets too small to be seen lie hidden throughout it. One of these midgets will reveal itself in tomorrow's FOTD. The image consists of half outside and half inside stuff. The inside stuff has been rendered with the inside set to 'bof61'. Some of the other inside settings produce images nearly as good. I could rate today's image no higher than a 5. Without a midget at the center it just doesn't seem to be a true Fractal of the Day. The render time of 15 minutes can be cut drastically by calculating the image with the passes set to 'g' or 't', though doing so will cause a bit of the finer detail to be missed. A better way of saving time is to download the pre-rendered GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The high temperature of 90F 32C here at Fractal Central on Monday was quite warm for the dynamic duo to endure, but being intrepid, they braved the conditions for all of two hours, keeping as cool as possible in the shade of the holly trees. I braved the tropical conditions in the comfort of my air-cooled workroom, where the FOTD images come into being. Today is starting the same; I expect more of the same from the fractal cats. The next FOTD image will appear in 24 hours. Until then, take care, don't be too credulous, and don't become too closed minded. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hanging_Gardens { ; time=0:15:39.36--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-17.9735/-1.95726/0.8318545/1/7.5/3.885\ 7805861880479e-016 params=-0.99/1.01/0.99/-1/0/3600 float=y maxiter=1000 inside=bof61 periodicity=10 colors=000QBOPCzODRNEzNFTMHzLIVKJzKKYJLzIM_HOzGPaG\ QmFRdESeDUfDVgCWhBXiAYk9_z9`m8Un7cp6cp6cq7cp7cp7bn\ 7co7al7cn7_k7cm7Zi7cl7Yg7ck7Xf7cj7Wd8Vc8Ub8Ub8Ta8T\ `8S_8RZPU_QWZRYYSSXT`WUWWVcVW`UWUTXeSYjSZkR_UQ`oPa\ UObxKaUMasNaqOaoPamRakSajT`hU`fV`eX`cY`bZ``_UUa`_`\ _Z_ZYZYYZYXYXWXWWXVVWUUVUUVTTUSSTRSTRRSQQRPQROPQNO\ PNOPMNOLMNKMNJLMJKLIKLHJKGIJHHIGIJGIJGJJGJJGKKGKKG\ LKGLKGMKGMLFNLFNLFOLFOMFPMFPMFQMFQMFRNFRNFSNESNETO\ ETOEUOEUOEVOEVPEWPEWPEXPCWNEXPGXQHYRJYSLYTMZUOZVQ_\ WR_XT_YV`_W``Yaa_ab`acbbddbeecfgcgkdihchfbhcaga`gZ\ _gXZfUYfSXfPWeNVeKUeITdFSdDRdAQc8Pc6Oc8Pd9QdAReCSe\ DSeETfFUfHVfIVgJWgKXgMYhNZhOZiQ_iR`iSWjTajVWjWckXW\ k`boZYmYdkX`iWfgVaeUgcScaRi_QbYPiWO`UNjSMcQKjOJcMI\ kKHaIGjGFUEDjCCdABi8A`69i48b27g08Z49gCA`KBhSCb_Djb\ BclEjpGWpIfpKbpMipPUpRjpThpVfpXNp_cpaapc_pUZpgXpUV\ plUpUSpKLpLNpMOpNQpORpGMp } frm:MandelbrotMix4 {; 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, 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 11-07-05 (Super Unexpected [7])
by Jim Muth 11 Jul '05

11 Jul '05

FOTD -- July 11, 2005 (Rating 7) Fractal visionaries and enthusiasts: In yesterday's discussion of the 'unexpected' fractal, I commented on an unusual area of chaos connected with the south branch of Seahorse Valley and lying some distance from the main figure. Since then, I have examined this chaotic area and found it more interesting than expected. In fact, the area holds intact midgets, one of which appears as today's image. I am now wondering what this area will change into when I tweak the parameters. Perhaps by the time tomorrow's image appears, we shall know. Instead of the well-defined bands of equal-iteration count, in today's image we see symmetrically-arranged bits and pieces of decorative reddish-green elements floating before a chaotic purplish background. An unexpected quadratic Mandelbrot midget lies, as usual, at the center of the frame, serving as a unifying theme. I named today's image "Super Unexpected", since the chaotic area appears to be the beginning of something entirely new, unlike anything that exists in the classic M-set. Because of its colors, on which I put a bit of extra effort, the image rates a 7. A 6-1/2 might be more accurate, but I wanted to give myself a little pat on the back. The render time of 16 minutes is appropriate for such an unexpected scene. And even this short time may be eliminated by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A slightly hot 88F 31C but otherwise absolutely perfect day here at Fractal Central on Sunday gave the fractal cats abundant reason to pass the afternoon sleeping in the holly thicket. Their repose was uninterrupted by wandering tomcats. Today is starting sunny and a bit warmer. It might be too warm for the duo to spend another afternoon outside. For me it's work first, fractals second, the next of which will appear in 24 hours. Until then, take care, and take it easy when pondering the imponderable. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Super-Unexpected { ; time=0:16:07.72--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-15.52168938650432000/+0.77168018950929\ 570/738.5992/1/132.5/4.69839209205069608e-009 params=-1/1.01/1/-1/0/3600 float=y maxiter=3000 inside=0 logmap=187 periodicity=10 colors=000FbcFaaF`_F_YGZXGYVGWTGVRGTPGSOGRMGQKGOIG\ OGGMFIOEKODMPCOPCRQBSRAVR9WS9ZS8_T7bT6aU7`W7_X7ZY7\ YZ7X`8Wa8Vb8Uc8Ud8Te8Sg9Rh9Qi9Pj9Ok9NmAMnAMoALpAKq\ AJrAItBbuBOvBTwBYxBbyBgxDlxEqxGvxHvxIvxKvxLvxMvxOl\ xPbyPTxQJwRKwRMvSOuSPuTRtUTtUUsVWrVYrWZqW`pXbpYcoY\ eoZgnZhm_jm`ll`mkaokaqjbtkarjbqicpidohenhfmgglghjf\ iiejhekgdlfdmecndcobbpaaq`ar_`sZ`tY_uYXwX_vWavVcvU\ euThuSjuRltQntQsuPptPntPlsOjsOhrOfrNdqNbqN`pMZpMXo\ MVoMTnLRnLPmLNmKLlKJlKHkJFkJDjJBjGAkI9jJ9jL9jM9jN9\ iP9iQ9iR9iT9iU9hW9hX9hY9h_9h`9ga9gc9gd9gc9gb9fb9fb\ 9fb9fb6bb8db9fbAhdBi`CkXDmTEoPFpLGrHHtEIuGJrIKpJLn\ LMlMMjONhPOfRPcSQaUQ_VRYXSWYTU_USWUQaRScOUeMWfLYgK\ _fJ`eIbdHdcGebFgaEi`Dj_ClZBnYAoX9qW8sV7tU6vT5xS5yU\ 4zW4zY4z_4za3zc3ze3zg3zi2zk2zm2zo2zq1zs1zu1zu0zu0z\ u1zu2zu3zu4zt5zt6zt7zt7zs8zs9zsAzrBzrCzrDzrDzqEzqF\ zqGzpHzpIzpJzqKzqKzqKzqKz } frm:MandelbrotMix4 {; 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, 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 10-07-05 (The Unexpected [6])
by Jim Muth 10 Jul '05

10 Jul '05

FOTD -- July 10, 2005 (Rating 6) Fractal visionaries and enthusiasts: I rarely choose an entire parent fractal to be the FOTD, but today I have done so. Today's image is the parent fractal of yesterday's 'purr-fect' image. True, I have increased the escape radius to 3700, but I did this only so that none of the fractal would be cut off. The image is named "The Unexpected". The name refers to the unexpected degree of distortion suffered by the Mandeloid that fills the screen. All the parts of the classic Mandelbrot set are there, a fact that can be demonstrated by examining the nature of the inner detail, but the parts are arranged in a manner that has little to do with the classic Mandelbrot set that we know so well. To start, the largest bay in the image is not the main bay, it is the period-2 bud. The smaller bay attached to the upper right edge of the largest bay is actually the 'main' bay of the Mandeloid, and the colorful valley separating the two bays is actually Seahorse Valley. East Valley of today's Mandeloid is barely visible, appearing as a tiny dimple on the northeast shore line of the main (but smaller) bay. In the lower left of the frame lies Scepter Valley, with the remaining buds and the main stem extending relatively undistorted beyond. As for the arrangement of the iteration bands, it makes no sense at all. Instead of being centered around the origin, as would be expected, they are centered around the apex of Seahorse Valley. And centered is hardly the proper word to use for their arrangement. In fact, the iteration bands actually open to form an entirely new fractal near the right edge of the frame. This area appears to hold nothing but total chaos, but it is worth a closer look, which I will give it later today. The rating of a 6 is really a bit overblown. The image is blatantly average. But I kind of enjoy doing things to Mandeloids, and what has happened to today's Mandeloid is worth the one-point increase. Another good feature is the high speed of the image, which renders in only 1-1/2 minutes on my old warhorse machine, and will render in less than one minute on almost any present-day unit that is not Fractint challenged. Those whose computers roll over and play dead when Fractint is booted may still see the image by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The high temperature of 86F 30C, accompanied by warm sun and gentle breezes, kept the dynamic duo at peace all day Saturday here at Fractal Central, and when old-timer cats are at peace, they really are peaceful. The day was nearly as uneventful for me. This morning is starting about the same. I expect the same results. Regardless of what happens, the next FOTD will appear in 24 hours. Until that moment of glory arrives, take care, and did you ever wonder what potential energy is made of? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Unexpected { ; time=0:01:39.19--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=2.77947/19.1932/0.046875/1/147.5/-2.505\ 63458870090e-014 params=-1/1.01/1/-1/0/3600 float=y maxiter=1000 inside=0 periodicity=10 colors=000HusHysKvlNseQpZSmSVjLYgE_d7`b8`a9`_A`ZB`\ XC`WD`UE`TE`SF`QG`PH`NI`MJ`KK`JL`ILYJMWJMUJMSKMQKM\ NKMLKMJJMHLMFIMDLMFJPHMRJLTLNWNNYPO_RObTPdVOfXQiWP\ i_QmXQkURjRRiORgLSfISeFTcCSb9Ua7S`6WZ5YX5_W4bU4dT3\ gR2jP2lO1oM1qL5jN8dOBZPETQHNRKHSNBTQ5U_8YhAafCbeEb\ dGccIcaKc`Md_OdZQeXSeWUeVWfUYfTZfZdecjeipenvejpbgk\ _dfXaaUYXSVSPSNMPIJMDHLFGLGFKHEKIEKJDJKCJLBIMBINAI\ O9HP8HQ8GR7GS6GT6HV7HW8IX9IY9JZAJ`BKaBKbCLcDLdDMfE\ MgFNhFNZGOUHOOHOLDO39S77WA5_D3cG2bUNagfatziwrqykEa\ CF`PF_aFZnRKETHCUEAVB8W87PN8I`9JcPElbKecz3b1fO8gZE\ ghu5YJbfKdiKelKfonGwgu5_pMSkbzOHEiBC45GOU6rKOVzYF7\ YeVRfff5tZIsRVrnWFhfQWgdWM9SUPO`czlgkjkYhoVCoRNpNY\ qUapSVzQZxOavMdt4`ATh8IYKJaWKdggLFr`b1a_8cfEelelQ2\ sl_4eUIjPVnMNpNOpOOpRMnTLmVJlXIk_GiaFhcEgeCfhBdj9c\ l8bn7aoCdoHfpMipQkqVnq_pqcrpbkobenbZmbTlaNkaGjaAja\ 4AJpBOqCTqDYqEbrEfrFkrGps } frm:MandelbrotMix4 {; 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, 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 08-07-05 (Old Lace [7])
by Jim Muth 10 Jul '05

10 Jul '05

FOTD -- July 08, 2005 (Rating 7) Fractal visionaries and enthusiasts: The lacy effect of today's image inspired the name "Old Lace", though in this case no arsenic is involved. What is involved is a combination of negative Z and (1/Z), with C added. It is curious that this combination would produce any fractal at all. By itself, negative Z does not make a fractal, and (1/Z) makes a simple vertical row of small flat disks. (In the odd orientations of the Julibrot, (1/Z) produces some striking effects, but this is another story.) When negative Z and (1/Z) are combined however, some very interesting Mandelbrot things can happen. In today's image, I added (1/Z) to negative Z. The resulting parent fractal is a rough hyperbola with Mandelbrot buds along its edges, and a small valley at the apex. Today's scene lies in the vicinity of this valley. I rated the image at a 7. The coloring, which is about as smooth as can be achieved with only 256 colors to work with, adds to the impact, and raises the rating from a 6 to the 7. The render time of 26 minutes is admittedly slow. But relief may be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completed image is posted, ready for download. The clouds remained thick all day Thursday here at Fractal Central, while the temperature reached a high of 81F 27C. Luckily, the rain held off until after dark, which gave the cats a pleasant afternoon in the yard. They became alert when two unwanted neighborhood stray cats wandered by, but the other cats moved on without coming within confrontation range. Today is starting with heavy rain however. Unless it ends in a hurry, the cats' day will be spoiled. My day will consist of the usual work and fractals, the next of which will appear in 24 hours. Until then, take care, and where do fractals come from? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Old_Lace { ; time=0:26:18.44--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.00697239427666942/+2.648103091012842\ 00/7219667/1/2.5/-2.90142841345708558e-006 params=-1/1/1/-1/0/525 float=y maxiter=2200 inside=0 logmap=569 periodicity=10 colors=00001P01N07M08L08R09P09S0AQ0AT0BR0BU0CS0CV0\ DT9DWAEUAEXBFVBFYCGWCGZDHXDH_EIYEI`FJZFJaGK_GLaHLa\ GMbGNbGNcGOcGOdGPdFPeFQeFQfFRfFRgFSgFShEThETiEUiEU\ jEVjEVkEWkDWlDXlDXmDYmDYnDZnDZoC_oC_pC`pC`qCaqCarC\ brBbsBcsBctBdtBduBeuBeuDfvFfvGgvIgvJivLhvNjvOjvQkv\ RkvTmvVmvWovYowZpw`pwbrwcrweswftwhtwjuwkvwmvwnwwpx\ wryxqxwpxwoxwnxwmxwlxvkxvjwviwvhwvgwufwuewudwucvub\ vtavt`vt_vtZvtYvtXvsWusVusUusTusSurRurQurPtrOtrNtq\ MtqLtqKtqJtqItqGurFusEusDvtCvtBvuAwu9wv8wv7xw6xw5x\ x3yz4xx4xw5wu5wt6vr6vq6uo7un7ul8tk8ti8sh9sf9reArcA\ rbAq`Bq_BpYCpXCoVCoUDoSDnREnPEmOEmMFlLFlJGlIGkGGkF\ HjDHjCIiAIi9Ii8IhAJhBKhCLhDMhENhFOhGPhHQgIRgJSgKTg\ LUgMVgOWgPXgQYfRZfS_fT`fUafVbfWcfXdfYeeZfe_geahebi\ ecjedkeelefmdgndhodipdjqdkrdlsemtgnuilvkjwmhxogyqe\ zsczubzz`zxZzyYzzWzzUzzTzzRzzPzzOzzMzzKzzKzzJzzJzz\ IzzIzzHzzHzzGzzGzzFzzRzzQ } frm:MandelbrotMix4 {; 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, 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 09-07-05 (A Purrfect Fractal [6])
by Jim Muth 09 Jul '05

09 Jul '05

FOTD -- July 09, 2005 (Rating 6) Fractal visionaries and enthusiasts: To produce today's image, I took yesterday's parent fractal and raised Z^1 to Z^1.01. The minute change completely altered the appearance of the fractal, changing it from a hyperbola to a distorted M-set. I commented about the change to Thomas, one of the fractal cats who was lying nearby. When he looked up and started purring, I had the name for today's image. I named it "A Purrfect Fractal". Though I had the name, I had not yet found the fractal. But a quick search along an interesting stretch of shoreline found a string of vaguely elephant-shaped things, and today's image turned up in one of the almost-trunks. I rendered the scene with the outside set to 'summ'. The effect is rather pleasing, though nothing to brag about. I could rate the image no higher than a 6, which is still a bit above average. Perhaps the greatest drawback is the images's slowness. Forty minutes is really a bit too much time to spend on such a routine image. But as always, the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> comes to the rescue. The already-rendered GIF image will soon be posted there, ready to be downloaded in less than a minute. The rain slacked off during the afternoon here at Fractal Central on Friday, but the ground was so wet that the fractal cats decided to remain on the porch. After voicing his opinion about the fractal, Thomas was quite satisfied. Tippy wondered what the fuss was about. Today is starting peaceful enough, with some sun and acceptable temperatures. It should be a good day for the cat duo. For me it looks like the day will be average. The next FOTD will probably appear in 24 hours. If not, it will appear in 48 hours. Until then, take care, and how can there be an end to anything if spacetime is eternal? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Purrfect_Fractal { ; time=0:40:11.67--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-1.20780413477277200/+12.05833924073030\ 000/147219.1/1/87.5/-4.84131272571186599e-009 params=-1/1.01/1/-1/0/525 float=y maxiter=15000 inside=0 outside=summ periodicity=10 colors=000TLmVJlXIk_GiaFhcEgeCfhBdj9cl8bn7aoCdoHfp\ MipQkqVnq_pqcrpbkobenbZmbTlaNkaGjaAja4AJpBOqCTqDYq\ EbrEfrFkrGpsHusHysKvlNseQpZSmSVjLYgE_d7`b8`a9`_A`Z\ B`XC`WD`UE`TE`SF`QG`PH`NI`MJ`KK`JL`ILYJMWJMUJMSKMQ\ KMNKMLKMJLMHLMFLMDLMFMPHMRJNTLNWNOYPO_RObTPdVPfXQi\ ZQk_QmXRkURjRRiORgLRfISeFScCSb9Sa7S`6VZ5YX5_W4bU4d\ T3gR2jP2lO1oM1qL5jN8dOBZPETQHNRKHSNBTQ5U_8YhAafCbe\ EbdGccIcaKc`Md_OdZQeXSeWUeVWfUYfTZfZdecjeipenvejpb\ gk_dfXaaUYXSVSPSNMPIJMDHLFGLGFKHEKIEKJDJKCJLBIMBIN\ AIO9HP8HQ8GR7GS6GT6HV7HW8IX9IY9JZAJ`BKaBKbCLcDLdDM\ fEMgFNhFNZGOUHOOHOLDO39S77WA5_D3cG2bUNagfatziwrqyk\ EaCF`PF_aFZnRKETHCUEAVB8W87PN8I`9JcPElbKecz3b1fO8g\ ZEghu5YJbfKdiKelKfonGwgu5_pMSkbzOHEiBC45GOU6rKOVzY\ F7YeVRfff5tZIsRVrnWFhfQWgdWM9SUPO`czlgkjkYhoVCoRNp\ NYqUapSVzQZxOavMdt4`ATh8IYKJaWKdggLFr`b1a_8cfEelel\ Q2sl_4eUIjPVnMNpNOpOOpRMn } frm:MandelbrotMix4 {; 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, 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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