January 2009 - Fractint - mailman.xmission.com

If only it were true.......alas
by David M Fisher 01 Feb '09

01 Feb '09

Jim, you posted the following with the fotd 31 Jan 09: Until then, take care, and whatever it is, it's all in the mind. Does this mean if we change our mind(s) we change reality? Do we each have our own "reality" in our thoughts? If so, how then can there be any agreement about anything between two or more individuals about anything, not to even consider the fact that according to your statement, something not in my mind doesn't exist. Just asking.......... David M Fisher

7 9

Re: [Fractint] Inauguration email
by Jim Muth 01 Feb '09

01 Feb '09

At 03:51 PM 1/19/09 -0700, Jack of TraDeZ wrote: > >On 2009-01-15 15:54, JimMuth wrote: >> **************Inauguration '09: Get complete >>coverage from the nation's capital. >>(http://www.aol.com?ncid=emlcntaolcom00000027) > >It's the beginning of the end for the country >I love(d) and grew up in. Thanx but no thanx. >I'd rather not watch. I agree entirely. I plan on totally missing the so-called 'big' event. IMO, the new president is not the beginning of the end, though he might hasten the decline. This once-great country began its decline years ago. And if anyone on the Fractint list thinks I actually wrote the above advertisement for AOL, they should turn in their fractals and resign from the list in disgrace. And if anyone wants to see some real debating on the list, get me started on liberal politics or conventional religion. Hmmm.... Maybe this is what we need to get a little life back into the list. Jim Muth

11 13

FOTD 31-01-09 (Leaping Iterations [7.5])
by Jim Muth 30 Jan '09

30 Jan '09

FOTD -- January 31, 2009 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that resulted when I combined various negative portions of Z^(-2.1) and Z^(-9.2), then added (1/C). This parent fractal consists of a few large circular bays with a small satellite figure-8 shaped lake some distance to the east. The scene of today's image lies in a valley of this figure-8 thing. The general area has both critical and non-critical elements, so when I first checked it, I had little hope of finding an intact minibrot. I expected only dry valleys, but I stumbled upon the tiny minibrot at the center of the image almost by accident. To express my surprise, I named the image "Leaping Iterations", and then I gave it a rating of a 7-1/2, including a half-point reward for my coloring work. I would have preferred a shorter calculation time than 6-1/2 minutes, but this short wait may be avoided by hurrying out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. Partly cloudy skies with occasional heavy snow squalls highlighted the weather here at Fractal Central on Friday. The fractal cats must not have considered such conditions a highlight, for they spent most of the day near the heat. My day was once again unacceptably busy. The next FOTD will be posted in 24 hours. Until then, take care, and whatever it is, it's all in the mind. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Leaping_Iterations { ; time=0:06:30.97-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.413306648958554/+0.0002551522349509/\ 1.291e+010/1/-15/0 params=-4/-2.1/-0.9/-9.2/0/0/0/0 float=y maxiter=3600 inside=0 outside=tdis periodicity=10 mathtolerance=0.05/1 colors=000HLaEMcCNfAOh9Pf9Qd8Qb8Ra7S_7SY6TW6UV5UT5\ VR4WP4WO3XM3YK3YJ4_L5aN6cP7eR7fS8hU9jWAlYAmZBo`Cqb\ Dsdflrflpfkneklekjejhdjfdjddiaci_chYchWbhUbgSbgQbg\ O_dMXbKV_ISYHPWFNTDKRBIPAQGCY7ElWFi_NgcUdg`bkg`onz\ pkzqhzrfzrczs`ztZzuWzuTzvRzwOzwMzrRzmVSh_SccTZgTUl\ TPpTKtPOnLShHWbD_X9cR5fM6hP6jR6kT6mV6nX6pZ6ra6sz6u\ z6vz6xz6yzz42z64z76zL8zQ9zVBz_DzbFz_GzVIzQKzGUxHUu\ GSrGQoGOlFMiFLfFKcEK`EJYEJVCJSBIPAIM8HJ7HE7HL0GO8F\ Q6EQ9DP0CQ0CR0ES0GU0HW0JY0LY0MY0OX0PW0RU2TR4UP6WN8\ YKAZIC`GEaHFbIFbJEcJDcKCdLBdMAeMAeN9fO8fP7gP6gQ5hR\ 4hR4hQ5gQ6fQ6eQ7dQ8cQ8bQ9aPA`PA_PBZPCYPCXPDWPDWOHU\ NKTMNSMQRLPOLPMLPKURQaTViV`qXeyYjmWkbUlRSmGRmLWfQ`\ `VeU_jOdoHitBmx5dX8X5BUG8RR5O`3R_4UZ4XY4_X4bW4dW4g\ V4jU4mT4pS4rS4sVAtXFuZLv`QvbVwd`xfeyhkzjpzlusbsmUr\ fKp`BoV2nW4lW5kW6jX8hX9gXAfYBeYDcYEbZFaZG`ZIZ_JY_K\ X_LWYIUVGRTEPQGSOHULIXJJZ } 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=========================================

1 0

FOTD 30-01-09 (Buds Gone Crazy [No Rating])
by Jim Muth 29 Jan '09

29 Jan '09

FOTD -- January 30, 2009 (No Rating) Fractal visionaries and enthusiasts: As sometimes happens, Thursday turned super busy here at F.C. With help from FL, the unexpected job was finished on time, but not without sacrificing fractal time and quality. The image is something I dashed off automatically while I was taking a work break. The scene shows a few buds on the north shore of an almost-Mandelbrot set. But these buds must have had a bit too much liquid cheer, for they appear to have gone crazy at a festival of some sort. The name I chose for the madness is "Buds Gone Crazy". I gave the image no rating. If I had given one, it would have been around a miserable 2 or 3. The calculation time is a short 1-1/4 minutes, brief enough to cause no impatience. The image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Rather pleasant weather prevailed here at Fractal Central on Thursday, with lots of sun and a temperature of 34F +1C. The fractal cats enjoyed it to the fullest. As statd above, my day turned horrendously busy. The next FOTD will be posted in 24 hours. Until then, take care, and if you don't know it, believe it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Buds_Gone_Crazy { ; time=0:01:16.50-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot6 passes=t maxiter=1500 center-mag=-0.316091/0.762459/4.419443/1/-15/0 params=-5/9/0.4/-13 float=y inside=0 periodicity=10 colors=000zw3zw4zw4zr5zm5zhAzcKvZPrUUmPZhLccIhZFmU\ ImPLmMOmJRmGTmDWmAZm7am4dm1fm4em6dm8cmBbmDamF`qI_t\ KZwMYzPYzRXzTWzWVzYUz_TzbSzdRzfQziRzhQzhPzhOzhNzhM\ zhLzhKzhKzhJzhIzhHzhGzhFzhEzhDzhDzhCzhBzhAzh9zh8zh\ 7zh7zgDzgIzgNzfTzfYzfczeczeczeczeczcczbcz`cz_czYcz\ XczVczUczSczRczQczOczNczLczKczIczHczFczEczCczBdzAd\ zH_zNWzTRzZNzdIzjEzpAzXFzZEzaDzcCzfBzhAzj9ziAMiBOh\ CRhDTgEWgFYgG`fHbfIeeJgeKjeLlfLlfKmgKmgKmhKmhKniKn\ iKnjJojJokJokJplJplJplJpkKokKokKojKojKojKniKniLniL\ niLnhLmhLmhLmgLmgMmgMlfMlfMlfMlfMleMkeNkeNkdNkdNkd\ NjcNjcNjcOjcOjbOjbOibOiaOiaOiaPi`Ph`Ph`Ph`Ph_Ph_Pg\ _QgZQgZQgZQgYQfYQfYQfYRfXRfWReXReXReWReWReWRevbwua\ vtavtausaus`ur`tr`tq`tp_sp_so_ro_rnZrnZqmZqmZqlYpk\ YpkYojYojXoiXniXnhXngWmgWmfWlfWleVleVkdVkdVkcUjbUj\ bUiaUiaTi`Th`Th_ThZSgZSgYSfYSfXRfXReWRee52d74d86c9\ 8cAAbBCbCEaDGaEI`FK`GM_HN } frm:DivideBrot6 { ; Jim Muth z=(0,0), c=pixel, a=real(p1), b=imag(p1)-2, d=real(p2)+0.00000000000000000001, f=imag(p2)+16: z=z^(a)/(z^(-b)+d)+c |z| < f } END PARAMETER FILE=========================================

2 1

FOTD 29-01-09 (Crouching Minibrot [No Rating])
by Jim Muth 28 Jan '09

28 Jan '09

FOTD -- January 29, 2009 (No Rating) Fractal visionaries and enthusiasts: Since today's image is more of an experiment than an effort at fractal art, I decided to give it no rating. The parent fractal is a grotesquely bloated Mandelbrot set with order-1000001 under- tones. Today's image lies in one of the elephant trunks in East Valley. I named the image "Crouching Minibrot" because part of it is occupied by a hidden minibrot. The black area at the right side of the image is the edge of a minibrot of order 1,000,001. This means it has exactly one-million similar bays around its peri- meter, which caused me to open my desktop calculator. Since only four bays appear in the image, this means that only 1/250,000 of the total circumference of the minibrot appears on the screen. On my screen the four bays extend over a distance of 30cm or one foot, which means that the total circumference of the minibrot must be 250,000 feet or 7,500,000cm. Dividing this distance by 3.14159 we determine that, at the same scale, the diameter of the minibrot whose edge appears at the right side of today's image must be near 2,400,000cm or 24km, which is near 15 miles. It's quite a minibrot. To see the entire circular minibrot, turn off the logmap and reduce the magnitude of the image to 1,000,000. Perhaps the most curious thing in the image lies in the peninsu- las that separate the bays, where the same pattern repeats, only very slowly changing from one peninsula to the next. I see much stuff for investigation here. Despite all the weirdness, the image calculates in only 1-3/4 minutes, about the time required to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and appreciate the finished experiment there. Snow, sleet and freezing rain made for a most unpleasant day here at Fractal Central on Wednesday. The temperature of 30F -1C only added to the unpleasantness. But strangely, the fractal cats seemed to enjoy the day, watching the neighborhood snow removal activities from their window shelf, with obvious fascination. My day would have been pleasant had it not been for the task of clearing the fractal sidewalks. Five inches of sleet is quite heavy to move around. If nothing worse happens, the next FOTD will be posted in 24 hours. Until then, take care, and I wonder what the world is really made of. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Crouching_Minibrot { ; time=0:01:43.64-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 passes=t center-mag=+26.0517371691385/-0.177380788769248/\ 1.700493e+011/1/80.7/0 params=1000001/100 float=y maxiter=1500 inside=0 logmap=126 periodicity=10 mathtolerance=0.05/1 colors=000hgsghofikdkgclcbwVbrYbm_biabdcb`ecWgeRig\ NkjImiEqi9sh1ue3ub5s_7qX9oUAmRCkOEjLGhIHfFJdCLb9N`\ 4Kb6O_8RY9UVBXTC_QEbOFeLHhJJtIIkHIcHIYHHUHHSHIQFHO\ HGMIFKJFILEKMDNNDRPCUQBXRB`TAcU9fV9jX8mY7pZ7s_9rKA\ t0Br4Cp8DnBElFFjJFhMGfQHeTIcXJa`J_cKYgLWkMUnNSrNRu\ PTsQUqRVoSWnTXlVYjWZiX_gYaeZbd`cbad`be_cfYdgWk`phd\ eehVblK`q6_pAZpEYoIXoMWnQVnTUmXTm`SldRlhQklNosQkoT\ hlWehZbea_bdXZgUWjRSmOPoLMjMKeMI`NHWNFRODMOCHPACP8\ 8P7JKLUFYdAje9ge8ef8bf7`g7Yg6Wg6Uh5Rh4Pi4Mi3Kj3Hj2\ Fj2Ej2DmIIoNMqTQs_UzdfzlhxqwyqoyleyfXwaNvXEwRJvMNv\ HStBTr6Un1TjAScKRUU2K`6JfAIgEGlBHjEHhHHgJHeMHdOIbR\ IaTI_WIZYIX`IWbKY`L__MaZNcXOeWPgVQiURjSSlRTnQUpPVr\ NWtMXvLYwK`qIblHdgFfbEiXDkSBmNAoI9uZEznImqH`tGOwFC\ yEKiQRUaYEmDb`GeZJgYMiXPkW8PXD_VHjTLtRJTfH2v_V_NMk\ ADvBEpCFjDGdDGZN9BSQbfMguJkfLbSNUEPLM9fTOT_bFfp1RF\ 3uHBsLHqPNoTTmXZk`didjjew } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

1 0

FOTD 28-01-09 (Peek-a-Brot [8.5])
by Jim Muth 27 Jan '09

27 Jan '09

FOTD -- January 28, 2008 (Rating 8.5) Fractal visionaries and enthusiasts: Today's lively little image came about when one part of Z^3 was subtracted from three parts of Z^2. The resulting parent fractal is a slightly under-sized Mandelbrot set located just beyond the left edge of the opening frame and rotated 180 degrees so that its negative spike is now a positive spike, (at least it's pointing in a positive direction), and its East Valley is now a West Valley. There is little out of the ordinary about the details of the parent fractal except for a scattering of disconnected extra stuff beyond both the positive (negative) spike and West (East) Valley. Today's image is a scene deep in the most distant bit of debris in the scattering of debris west of West (East) Valley. When rendered in the 'normal' manner, with the 'normal' equal- iteration bands, the scene is dull indeed, but when rendered with the outside set to 'fmod', the scene really comes to life. The entire image has been rotated 180 degrees to return the parent fractal and the minibrot at the center of the image to the normal position, with the spike pointing west. This is a self-imposed rule that I usually follow. I rated the image at an 8-1/2 which includes a half-point reward for the coloring, which gets something from nothing. To see the 'nothing' change the outside from 'fmod' to 'iter'. The name "Peek-a-Brot" must have some significance, but at the moment I can see very little reason for it. The very brief calculation time of 18 seconds can be made even briefer by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Still proud of catching the mouse on Monday, the fractal cats stood tall here at Fractal Central on Tuesday. The lack of sun, the threat of snow, and the temperature of 27F -3C, didn't worry them a bit. My day was about average. The next FOTD will be posted in 24 hours, which is the average time between FOTD postings. Until then, take care, and never stop searching for the ultimate fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Peek-a-Brot { ; time=0:00:18.86-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=ident center-mag=-2.524958827887493/0/2.880577e+011/1/180 params=3/2/-1/3/0/0/0/0 float=y maxiter=290 inside=0 proximity=1 outside=fmod logmap=28 symmetry=xaxis periodicity=10 mathtolerance=0.05/1 colors=000zzz0vz0rz0mz0hz0cz0Zz0Uz0Pz0Kq0Kh0Kf0Lj0\ Fn0AqLCnPEkTGhWIf`KZdKRhKKlKCpK5oK0oK0nKAnKEmKImKA\ lK3oLFmMKmNKmOKmPKmQKmRKgSKaTKWUFQV8KW1CXJ4Y`JZVY_\ Ql`LkaGjbBic6hd2geRefMcgJahH_iFYjDWkBUl9Sm7Qk5Oh6N\ e6Lb6K_6IX6HU6FR6EO6CL6BI69G68C6696556426545665674\ 7947A38C38D29F29G2CH2FH2II2LI2OJ2RJ2TJ2UK2UK2UK2VK\ 2WK2XK2YK2_K6`KA`JDaIHbHLcGOcFNcENcCNcAJc9Fb9Ba98`\ DB_GEZJH_MK`QNaTQbWTcZWd_`e_dg_hh`mk`qnamqaitaewaa\ y`Yz_ThU5mc5xUAwQAwOAvOAvMAuMAuPAtRStUOsWKsYGr`Crb\ 8X7jaEaeLUjSLnZDnNFnULoVJoWIpXGpYFpZDq_Cq`Aqa9rb7r\ c6h`OiaMjaLjaKkaJlbIlbGmbFmbEncDocCocApc9qd8qd7rd6\ zi0yh1xh1xg2wg2vf3vf3uf3te4te4sd5rd5zcdyc_xcWwcRvc\ NucItcEsb9FekJdfNdbRdZVdUZdQbdMfdHjdDnd9lclmcimcfn\ ccnc`ncYocVocSpcPpcMpcJqcGqcDraArc7_cdacabcZdcWecT\ gcRhcOjcLkcImcGncDpcAqc7UluWkpYjl_jhaidch`ehXggTig\ PkfLmeHoeDqd9gBamQL68GABF } 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=========================================

1 0

FOTD 27-01-09 (Cradle of Infinity [7])
by Jim Muth 26 Jan '09

26 Jan '09

FOTD -- January 27, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today's image takes yesterday's image to the limit. I named it "Cradle of Infinity" because somewhere in the vicinity of the value of the real(p3) parameter, the Julia set expands to infinity before collapsing back on itself. With the limited mathematical precision available, I came as close as possible to the point of infinity, close enough for today's image to give a pretty good idea of what that ideal fractal must look like. The zig-zag boundaries are a result of rendering the fractal with the inside set to 'zmag'. I have no idea how the rather lurid color scheme came about. If I had put a little more effort into the coloring, the rating of a 7 might have been a bit higher. The calculation time of 3-1/2 minutes should bring little hardship. And even this may be eliminated by dashing out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. Monday featured partly cloudy skies and a temperature of 28F -2C here at Fractal Central. But the fractal cats did not waste time complaining about the weather, they spent the day celebrat- ing their glorious victory. An annoying mouse has been darting around the fractal kitchen the past few days. Monday morning the intrepid mouse darted out once too often. Both cats were on kitchen patrol when the mouse dashed across the room. Nicholas, the large but clumsy black british shorthair, pounced first but missed. All was not lost however, for he chased the mouse right toward small but agile Cassie, who pounced and easily caught the mouse. Not a cruel cat, Cassie dispatched the mouse quickly and offered it to FL. Both fractal cats were rewarded generously. I did not see the mighty victory, but FL, who was on the scene, gave complete details . . . once she settled down, that is. The rest of my day was notably average. The next in the ongoing series of gorgeous fractals will be posted in 24 hours. Until then, take care, and even a mouse deserves a break. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Cradle_of_Infinity { ; time=0:03:32.83-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot6Julia center-mag=0/0/0.0002\ 046932 params=-4/8/0.1/0/-0.72008749000115/1.128295 float=y maxiter=1500 inside=zmag logmap=yes symmetry=origin periodicity=0 colors=000D57IE7ON7UW6Zd6dm6jw5cpJXiXPakQabR`US_KW\ aN`cQeeTjhXoj_tlbynezqitfct_etUftNhtHitAkpRgkWfg_e\ bdcYibUmaPr`KwZPscOtgNukUY`_BTaLScWReeQhpPVkYKqeKl\ `JfVJ`PIWJIQDHK7GE1cHCzLOuLPoKQiJRcISYITSHUMGVGFWF\ EUDDRBCP9BMLIKYPHjWEwcBn`9dY6VV4LS1mAGmAGmAHmAImAI\ fHG_OEUVCNaAGi7Hh8Hg9IgAIfBJfCJeDKeEKdFLdGLcHLbIMb\ JMaKNaLN`MO`NO_OP_PPZQPYRQYSQXTRXURWVSWWSVXTVYTUZV\ `eUXaTUZSQWRNSQKPPGMODIN9FM6CK28L39M39N49O49P59Q59\ R59S69T69T79U79V89W89X89Y9AZ9A_AA`AA`AFaBLaCRbDXbD\ acEgcFmdGstKiyfQpIelG`gEXcBS_9OV7JR5FM2AL6CKBEJFGI\ KIGPLTlBTZKTLTS6adNbqdcSCZRJWRPTQWPPVJQZPPaPPePOhP\ OkPNoOQdPTXPVPPYIP_APb2OlMUzZZtV`mQcfMf_HiTCl_MhTL\ jMKlFJn7IpwPoEMgDP_CTSBWKAZC9b4CRRDLZEFec9zcBzcDzk\ FzvItdSuYexWYXmmzmmzzrhmmzbDaaCfqmzjmzqmzCmzqmz8mz\ qmzCmzqmzGmzqmzKmzqmzOmzqmzeGhe8Zl0UpJSzVLzVLyWKwX\ KzeJzZIxTJmPHeLFYHDN00055 } frm:DivideBrot6Julia { ; Jim Muth z=pixel, c=(p3), a=real(p1), b=imag(p1)-2, d=real(p2)+0.00000000000000000001, f=imag(p2)+16: z=z^(a)/(z^(-b)+d)+c |z| < f } END PARAMETER FILE=========================================

1 0

FOTD 26-01-09 (Critical Julia [8])
by Jim Muth 26 Jan '09

26 Jan '09

FOTD -- January 26, 2009 (Rating 8) Fractal visionaries and enthusiasts: Today's scene is a Julia set very close to the one that appeared in yesterday's image. The difference is a very slight but very significant change in the the (p3) parameters. To see why I named today's image "Critical Julia", tweak the (p3) parameters a bit. The slightest change totally changes the appearance of the image. I find it very curious that the Julia set in the image has no Mandelbrot-set characteristics at all in it, even though the parent Mandeloid consists of a very obvious Mandelbrot-set shape. It's kind of a whole new world, which I must further investigate.. I rated the image at a slightly inflated 8. It probably does not deserve quite this high a rating. Its calculation time of 3-1/3 minutes, though still relatively brief, is about 10 times as long as the time of yesterday's image, due mostly to the lack of obvious periodicity. The image may be seen and enjoyed by running the included parameter file, or by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing it there. Clouds and cold weather kept the fractal cats at Fractal Central close to the heat on Sunday. When light snow began late in the afternoon, they curled even closer. My day was about average. The average wait for the next FOTD is twelve hours. I can see no reason why it should not appear on schedule. Until then, take care, and what ever happened to all the fractal miracles? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Critical_Julia { ; time=0:03:40.03-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=dividebrot6julia center-mag=0/0/0.06672 params=-4/8/0.1/0/-0.720085/1.128295 maxiter=1500 float=y inside=zmag symmetry=origin periodicity=0 colors=000zzDzMCzSBzXAUaMUeYUiiWkgXzeYzcZzb_z``zZa\ zXbzWemVgfUj_TlTSzMRqFQs9QvNWx``zmeyf`z`XxUTxOOwHK\ wBGw5CeFLPOTgXmzYLO_QM`VKa_HbcFchDdmBeqFdjIcdzbZPa\ TS`MW_GzZAaY4_Z7YZ9WZBUZDTZFUYKVXOWWSWVWMPTCJQ3EO5\ IQ7LS9OUARWAUYAW_AZaA`cAbdD`cF_bIYbKXaNV`PU`Cie8`f\ 4TgCQZJOQKQMKSIKTFLVBLW8LY4KU0LZ1Mb2zf3Nk4Oo5Nr2Os\ 6PtAQuERvHzwLTxPTxSQmWOb_CNjMTbVYWccPlhIumBnfJg`Q`\ VXUPc2LiNJjfHkzFkgLWQRGN_HKgIHoJFwKDtRzrYBoc9mj8jq\ 7hwY`txTqoUigVaZWVRXNIYFAZ8LXHVVQeTZoRg`MZMzzzwtzu\ szsrzqqyopxmovjntgmrdlqakpZjlWigThbQgYNeSKcQHaOE_M\ CYJAWFAUCAP8AK0AFzAA0AA0AA0AA8YF7XE6XD5XC4XB3WA2W9\ zW8GHRFIPzJODKNCLMBMLANK9OJ8PI8PG7QF6RE5TDOVC3YBAZ\ ASZ9WYS_XR_QRZHRZHRZHQYIQzIQXIQXIQXIPzIPWJPWJPVJPV\ JOUJOUJOUKOzKOzKNzKNzKNSKNXUPzRR`OTrKVbLVIAZNMVRYS\ WiPzzRztMzzIzsDzz9zr5zzCzmIzzPWiVagageguoslcmcTgWI\ azHbdGczFdb7ud3tz0te4FzAE } frm:DivideBrot6Julia { ; Jim Muth z=pixel, c=(p3), a=real(p1), b=imag(p1)-2, d=real(p2)+0.00000000000000000001, f=imag(p2)+16: z=z^(a)/(z^(-b)+d)+c |z| < f } END PARAMETER FILE=========================================

3 2

FOTD 25-01-09 (Circular Ringers [7])
by Jim Muth 25 Jan '09

25 Jan '09

FOTD -- January 25, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today's fractal is late because I had no chance to write it at the scheduled time. But the image is still a pretty good one -- better late than never. It's actually an entire Julia set of the distant outskirts of a Mandelbrot set whose surroundings are starting to break up. The name "Circular Ringers" refers to the circular objects that are arranged in a kind of square. The rating of a 7 might be optimistic, but that's what I think the image is worth. The calculation time of just under 20 seconds could hardly faster. And for even more convenience the image soon will be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Due to the unusual hour of this posting, give Paul a few hours to get the image calculated and posted. Morning clouds and afternoon sun kept the fractal cats happy here at Fractal Central on Saturday. The morning temperature of 41F 5C dropped steadily during the day to 21F -6C by night- fall, while the cats moved to a warmer location. My day was unexpectedly very busy. The next fotd will (hopefully) be posted in around 12 hours. Until then, take care, and knock on fractal wood. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Circular_Ringers { ; time=0:00:19.80-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot6Julia center-mag=0/0/0.3 params=-4/8/0.1/0/-0.6157/1.2948 float=y maxiter=1500 inside=bof60 periodicity=10 colors=000zmzzzMkzzjsfjqfiofimeikehiehgegddgbdg`df\ ZcfXcfVceTceQbdObdMbdKacIacGacEadF_eFYfGXgGVhGTiHS\ jHQkIOlINmILnJJoJIpKGqKErKDtMAuO7vQ4kW8a`CReGHjK7o\ O8qL9rI9sFGgRNXbOUbORbOObOLbRK`TIZVJXXKVZLT`MRaNWa\ O_bPdbQlbRscRzcTvcNzXKwRFnKEaEDU7CMGCME9MC7M95M73N\ 51O75P90QB0RC0SE0TG0UI0VJ0WL0XL0YPilQioOijMifKjbIj\ YGjUEkQCkMAkH8lD6l94l55m65m75m76m86m86m96mA7nA7nB7\ nB7nC8nD8nD8nE8nETZ`VXaWVbXTcYScZQd_Oe`MeaLfbJgcHg\ dFheEifCigAjh8ki7kjAhkDelGbmI_nLXoOUpQRqTPrWMsYJt`\ GucDveAwh7xk4ym2pXLhHbjI`kJZlJYmKWnKUoLTpLRrMPsMOt\ NMuNKvOJwOHxPFyPExNIxMMxLQxJUxIYwH`wGdwEhwDlwCpwBs\ uScshPqxARU56R6UtuVpqWlmXhiYdeZ`a_XYdzuhsokljneerZ\ `uSWwKUxLRxMOyNLyOIyOFqQBiR7kNGlKOmHWnDcoAkp7slAni\ CjeFebHa_JYWMTTOPQQLYPSeOZmNetNkrMfqMbpLZoLVnLQmKM\ lKIkKEgMRcNb_PnWQzduNYlMSdLLWKFOJ9GI8KG8OF7SE7WD4l\ IGfPRaWaXaeWYhWUlWQ_debhf } frm:DivideBrot6Julia { ; Jim Muth z=pixel, c=(p3), a=real(p1), b=imag(p1)-2, d=real(p2)+0.00000000000000000001, f=imag(p2)+16: z=z^(a)/(z^(-b)+d)+c |z| < f } END PARAMETER FILE=========================================

1 0

No FOTD for January 24
by Jim Muth 23 Jan '09

23 Jan '09

Fractal visionaries and enthusiasts: The subject says it all. Due to an overwhelming load of work, I have no time to write an FOTD for January 24. But with the work out of the way, there should be no trouble posting the FOTD for January 25 on schedule. Jim Muth

1 0