November 2003 - Fractint - mailman.xmission.com

FOTD 30-11-03 (Mandelbrot-18 [6])
by Jim Muth 30 Nov '03

30 Nov '03

FOTD -- November 30, 2003 (Rating 6) Fractal visionaries and enthusiasts: This morning, as I sit by my fractal computer with an image that is not quite as good as I had hoped, I find myself once again pondering the meaning of it all. And I cannot be satisfied by shuffling the questions aside as meaningless or impossible to answer. Even if things such as the reason for human existence and individual existence as well are ignored, there remain things that might never be understood, such as the nature of the quantum world and of fractals. What is an electron, or a photon? Why are fractals filled with so many spirals? Why is pi equal to 3.14...? Why does 1+1=2? Why must there be truths which can never be proved? And why do we worry ourselves with such things? Due to our human nature we shall never fully succeed in purging ourselves of unanswered questions, but for now let's simply try to enjoy the world the way it is. There are fractals enough for everyone, and today's is but a single example. Today's image is a scene on an arm of the star connected to the period-16 bud on the north shoreline of East Valley. It is basically a refinement of the type of image that appeared as yesterday's FOTD, and is probably of equal worth. But because of the repetition, I could rate it at only a 6. It is another blazingly fast image, which will render in 1/2 minute or less on all but the slowest machines (of which mine is one). I have entered the mathtolerance=/1 into the parameter file so that the image, which is of quite a high magnitude, does not flip the program into arbitrary precision mode. If this were to happen, our 30-second image would suddenly become a two- hour image. The finished GIF image is available on the internet at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The Saturday weather remained mostly sunny but very cold and windy here at Fractal Central. The fractal cats remained indoors after testing the outside conditions for a few minutes. Howling winds and a temperature of 43F 6C are just not to their liking. They comforted themselves with left-over turkey. Today is starting with much less wind, but not as much sun. It remains to be seen how the dynamic duo will adjust. As for me, I have a bit of unavoidable seasonal shopping to do, but when that is finished, I'm going to take it as easy as possible. And I'll return to the forum in 24 hours with the first of the December images, an unusual one with a rating of 8, made with the MandelbrotMix4 formula and named "Seasonal Wreath". Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot-18 { ; time=0:00:41.25--SF5 on a P200 reset=2002 type=mandel passes=1 mathtolerance=/1 center-mag=+0.28603880275110390/+0.011533269280361\ 50/7.916774e+012/1.000/17.5/0 params=0/0 float=y maxiter=3200 bailout=9 inside=0 logmap=-879 colors=000eBoeCneDmeEleFkeGjeHieIheJgeKfeMdeNceOae\ Q`eR`dSccTfbUibVlaWoaXr`Zu`ax_ez_hzZdzZ_wYWtYSqXQn\ XNkWLhWKeVIbVF`TDYTAVS7SS4PQ1MQ0JS3GS4DS6AT77TAATC\ FTDJVFOVGSVJVXL_XMcXOgXPj_Qp`QucSydSzYVxSYrL`lFcf7\ f`1iV0jQ0gS4dT9aVC_XGXYLT_PQ`SO`XLa`IcdFdgCfl9gp6i\ s4iu0fv0dx0ay0`y0_r0Yl3XfCV_JTTQSO_QGfPAoO4vM0zM4z\ I9zFDzAIz7Oz3Sz0Xz0`z0dz0iz0lz4ozArzIuzOyyVzxazvgz\ uozsuixdJzPIzSIzVIzYIy`GycGyfGxiGxlFxoFvrFvuFvvVil\ jXazJSvIQrGPmGPjFOfFOaDMYDMVCLQCLMAJIAJF9IA9I67G37\ G0Y70x00y00y00y00y01z06z09z0Cz0Fz0Iz0Mz0Pz0Sz0Vz0Y\ z0`z0Xx0Ts0Qo0Oj0Om0Oo1Or7OsCOvIOxOOzSOzYOzcOzguC4\ oI6jO7fT9a_AXcCSiDOoFJuGFyIJyLMyMQxPVxS_xVcvYgv`lv\ covdpzlpzspzypzzpzzrzzszzuzzvzzxzzyzzyzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzxvzpszgoz`lzTgzMdzD`z6Yz0Vz0Tz0Tz1\ Tz6SzASzGSzLQzPQzTQzYQz_Qz_Pz`Pz`PzaPzaPzcPzcPzdPz\ dPzfPzfOzg0z9SzMQzOzzozzo periodicity=10 } END PARAMETER FILE=========================================

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FOTD 29-11-03 (Mandelbrot-17 [7])
by Jim Muth 29 Nov '03

29 Nov '03

FOTD -- November 29, 2003 (Rating 7) Fractal visionaries and enthusiasts: It's 8:30am and all is well here at Fractal Central. My 18-day tour of the Mandelbrot set is coming to a close. Starting December 1st we will move on to other formulas (MandelbrotMix4 perhaps) and other fractals. Was the tour of the M-set a success? Its purpose was to find new things in the well- explored areas of the Set. Did we find anything new? We certainly found some midgets that have never before been seen, but could these midgets actually be considered new? Like so many other things in the land of fractals, and in the world itself, it is up to the individual fractalist to decide. My own opinion is that I fell a little short of my original intent. I found nothing in the M-set that is truly new and has never been seen, but then I have an artistic temperament, and artists are never satisfied with the things they create. So I guess we'll call it a stand-off and look forward to better things to come during December. Today's image takes us to the star of the period-8 bud on the northeast shore of the main bay of the Mandelbrot set. Zooming in toward the center of the star, we suddenly stop and turn onto a side branch. We find a small spiral and stop to search for a midget. Since midgets are everywhere in the Set, our search soon uncovers a rather interesting little fellow -- the one that now appears at the center of today's image. It's not a bad image. In fact, it rates an above-average 7. True, this type of fractal has often been seen before, but I am rather pleased with the coloring, and because of that, decided to rate the image a 7 rather than a 6. Perhaps its best feature is its speed. With a render time on my machine of 11 seconds, it is the fastest FOTD image in many months. But despite the speed, the task of saving and renaming this letter is about equal to the task of downloading the completed GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The rain continued most all day Friday here at Fractal Central, and the temperature topped out at 59F 15C. The fractal cats, disliking wet ears and paws, decided to remain indoors and sulk, hoping the sulk would bring a treat of tuna. They were right. The tuna appeared. My day was reasonably pleasant. There was lots of left-over turkey, and as today's image shows, my luck in fractal-land was reasonably good. Now if we can only have three or four good days in a row . . . Until next FOTD, take care, and become one with your fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot-17 { ; time=0:00:11.48--SF5 on a P200 reset=2002 type=mandel mathtolerance=/1 center-mag=+0.37256619253914140/+0.090896004196444\ 92/2.650479e+010/1/-169.999987105916603/-7.4772394\ 485271565e-005 params=0/0 float=y maxiter=2400 bailout=9 inside=0 logmap=318 periodicity=10 colors=000ICHJDIKEJLFKMGLNHMOINPJOQKPRLQSMSTNUUNWV\ NYWM_XLaYKcZJe_Ig`HiaGkbFmcEodDqeCsfBugAwjDqlFknId\ pKZrNTtPMvSGxUAwRBvPCuMDtKEtHFsFGrCHqAIq8IFUtRYub`\ vncwzfwrgvjhvcivWjuPkuHluAluBmrBnoComCpjDqhDreEscE\ t`FuYFvWGwTGxRHyOHyMGxOFxPFwQEwREwSDvTDvUCvVCuWBuX\ BuYImSOeNUZI_RDeJ8kC3gD9dEEaFKZFPWGVTH_QIeNIjeWRxi\ 7vkDumItoNrqTqsYptbotgjscfq_anWYlSUjOPgKLeGHcCC`88\ Z44X0BV2IT3PS5WQ6bP7eR8gT9iV9kXAmZBo_Blb9jd8hg7ei5\ cl4an3_p2bn4dl5fj6hi7jg8meAocBqbCs`DuZEwYFeMLOBQND\ SMEULGWKHXJJZJK`IMbHNcGPeFQgESiETjJRcOQXTPQYOJbNCf\ M6XSJOYVFbfHcgIdgJehKfhLhiMjiNljOnjPokQqkSpiTnhVlg\ WjeYhdZfc`dbac`bb_baZc`Xc_WdZVdYUZ_SYaQXcOWeMUgKSi\ IOkGLmEIoCFqACs89t6Bo9DkCFgFHbIJZLLVONQRPMURIXTD_V\ 9bXCeZFh_Ij`Lk`OlaRmbUnbXoc_pdbqderehsfktfnugqvgtw\ awqWzkRzfLz`FzVAzQEzTHzWKzZNzaQzcTzfWziZzlaznazgaz\ `azVazOazIczJdzKTz2Qz1Nz1 } END PARAMETER FILE=========================================

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Re: [Fractint] Rotating an image?
by BillatNY＠aol.com 28 Nov '03

28 Nov '03

John, I don't know what level you're at with Fractint, but I wrote a tutorial for it a while back. You may find it useful. It's on the Links page of my main web site (the first one mentioned bleow). Bill Rossi http://members.aol.com/billatny/ http://www.arts4u.org/rossi/

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FOTD 28-11-03 (Mandelbrot-16 [6])
by Jim Muth 28 Nov '03

28 Nov '03

FOTD -- November 28, 2003 (Rating 6) Fractal visionaries and enthusiasts: After a very pleasant Thanksgiving day, on which I and the fractal lady (who is a great help but wishes to remain anonymous) had the dinner table entirely to ourselves, I ventured into the Mandelbrot set to see what I could find there. My travels took me far out the negative real axis, to a midget around -1.985, where I checked one of the many filaments extending from the little fellow. On the filament, just beyond the point where the broad chaos ends, I found a much smaller midget. The midget reasonably accurately reflects the nature of the broader area in which it lies, but when rendered with the normal equal-iteration-bands method, it lacks a certain something that would give it life. Whatever that missing something is, it was supplied when I tried the 'outside=fmod' option, with the proximity set to a very small 0.00001, and found an image that is different enough to be the FOTD for today. I could rate the resulting image at only a 6 however, because, IMO, the 'fmod' outside option introduces an element of artificiality into the image. Yes, I realize that the equal- iteration-band outside option is also artificial -- all methods of coloring fractals are artificial -- but when I first explored the Mandelbrot set, the flat iteration bands were the only coloring method available, and in my mind, this method repre- sents the 'true' fractal image. The included parameter file renders in 3-1/2 minutes on my machine, and faster on newer units. The wait for the rendering to finish can be replaced by a short pause while the completed image downloads from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The predicted rain failed to arrive here at Fractal Central on Thursday. Instead, the afternoon was partly cloudy with a temperature of 52F 11C, light winds, and scattered happy cats. The cats spent the afternoon in scattered places around the yard, doing nothing in particular other than just being cats. This morning however the rain is most definitely falling. I'll keep the bad news from the dynamic duo as long as possible. I'm not yet sure what kind of day I'll have. It's kind of a holiday made for shopping, but I kind of have some work to do. The only thing (almost) certain is that the next Mandelbrot image will appear in 24 hours. Until then, take care, and who knows what wonders lurk in the land of fractals? (Even the Shadow doesn't!) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot-16 { ; time=0:03:37.62--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=-1.98544215780481200/+0.000048925446947\ 36/9.506984e+012/1.0005/-167.369632363377747/-0.07\ 22266742894553948 params=0/0 float=y maxiter=1800 bailout=9 inside=0 proximity=1e-005 outside=fmod logmap=yes periodicity=10 colors=020zzXzzXzzXzzYzwbztdzqgzoiznlzknzhpzfszduz\ bxzbzz`zz_zzZzzYzzYzzYzzYzzZzz_zz_zz`zz_zz_zz_zzbz\ zbzxbzwbzudzsdzrdzpdznezlezkezigzghzehzdhzbjz_jzYj\ zXkxVmxTmwRmwMkzPmwTmsXmp_nndnkgngipelpbppYsrXwrTz\ rPzrOzpPzpPznRxnRxnTxmTwmVwmVwkXukXukYuiYuiYsi_sg_\ sgbrgbrfdrfdpfepdepdgndgnainainaip_ep_dr_br_Ys_XsZ\ VuZTuZPuZOwZMwXIxXGxXEzXCzX8zV6zV4zV0zV0zV0zT0zT0z\ T0zT0zR0zT0zT0zV0zV0wV0uX0rX4pZ6lZAkZEg_Ge_Kb_M_aP\ XaTVdVRdYPdbMfdKfgGgiEglAgp8ir4iu0Xu2iwCuxMzzVzzVz\ zVzuVzrVzlVzgVzdVwYVtTVpPXkOXfMX_KXXKXRIYMGYIGYCEY\ 6CY2CX6CTCARGAOM8MQ8KT6GZ6Ea4Ai68p6Ak4Cf4C_4EV4GQ4\ GM4IG2KA2K42M22O22K20M20O22O26P28P2AR2ER2GT2KV2MV2\ OX2RX2TY2VY2Y_4_b4db6ed8gd8keAlb2zeAnga_izKgz6kz4l\ z4nz2pz2sz0uz0wz0xz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0\ zz0zz0zz0zz0zu0zp0uk0nf0e_0YV2RQ2VO6XO8_MCbMEdKIgK\ KiIOlIPnGTpGVsEYuE_xCdzCe } END PARAMETER FILE=========================================

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Rotating an image?
by John Wilson 28 Nov '03

28 Nov '03

Here's one of those distorted midgets that have been discussed recently. I'd like to rotate something like this, to make the midget lie in the east/west direction. I'm sure I've seen a "rotate" command many times, but every time I want to use it, it seems to go into hiding. Am I dreaming, or is this readily achievable? John W. overpass { ; basic Mandy using fmod ; Version 2002 Patchlevel 4 reset=2002 type=mandel center-mag=+0.13493099800000000/+0.67232383950000000/15191.22/0.9996 params=0/0 outside=fmod colors=000InY<9>Hu_Hv_Hw`<2>Hy`GzaIzZ<3>UvLXuI_tE<10>ENNCKOAHP<3>24TEb1<\ 6>CZHBZKBYM<2>AWT9VW9VW<13>9Ub9Ub9Uc<11>ERdFRdFRc<16>NObNNbONb<2>PNbQMaP\ Ma<5>DHgBGh9Fi<3>1Bm<31>X7EY7DZ7C<3>b67<3>Pou<7>SZnSXmTUl<2>UOiVLhVLh<25\ >UgvUhwUiw<2>UlyTmzSly<21>6JK5HI4GG<2>1CA0A81A8<13>KLJ }

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Re: [Fractint] Rotating an image?
by BillatNY＠aol.com 28 Nov '03

28 Nov '03

John, Just open a zoom box. Then hitting <Control> + the key-pad plus <+> or minus<-> key will rotate the zoom box Bill Rossi http://members.aol.com/billatny/ http://www.arts4u.org/rossi/

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FOTD 27-11-03 (Mandelbrot-15 [7])
by Jim Muth 27 Nov '03

27 Nov '03

FOTD -- November 27, 2003 (Rating 7) Fractal visionaries and enthusiasts: Today's image shows a scene on the shore of the southern lobe of the main bay, rather deep in East Valley, in a chaotic area where the elements become pinched off. The pinched-off elements are obvious, but the area is actually quite a bit more chaotic than the image would suggest. Most of the detail beyond the foreground elements is due to the coloring, and will rapidly disappear if the colors are changed. In the picture, I have departed from my usual inside=solid-black routine, and given the inside of the midget an electric blue coloring, which suggests, at least to me, a window into an alternate reality beyond the one visible to the senses. To increase the impact of the brilliant interior, I have faded the colors to near black as they approach the midget. Despite the rather ordinary effect of the image, I have given it a rating of a 7, which equals above average. I put more effort into the coloring than meets the eye and decided to reward myself with a rating one point higher than what I would ordina- rily give. Due to its high iteration count, the image is a slow one, requiring over 1/2 hour to complete on my machine. But the time can be saved by downloading the completed GIF image from one of the FOTD web sites, which can be found at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The topic of identical Mandelbrot midgets has been raised on the list recently, and has been pretty well answered. I sometimes wonder about the philosophical aspects of this topic however. Except for their mirror image on the opposite side of the real axis, no two midgets are exactly identical. But with many midgets the difference is infinitesimal, and cannot be discerned by any means available to us. Can such midgets then be consi- dered identical? I guess it all depends on the meaning of the word 'identical'. In the Mandelbrot set, the shape of the midgets remains within the range where they are recognizable. The same is not true in fractals created by more exotic formulae, where midgets can be distorted totally beyond recognition. Finding extremely dis- torted midgets in exotic fractals might make an interesting fractal project for a future series of FOTD's. Now on to more important things. Another average day's weather here at Fractal Central brought the fractal cats an average afternoon in the yard. The partly cloudy skies, temperature of 55F 13C, and light southeast winds were so average that those with no great interest in the weather have little memory of the conditions. Today is supposed to bring rain, but it is starting sunny. We'll see how things go as the day progresses. Things will likely go pretty well for me. The work is caught up and somehow I managed to avoid having to go to any Thanksgiving dinners. If my good luck holds out later today, I'll find one of the infinity of great fractals that still lurk undiscovered in the Mandelbrot set. If not, I'll return in 24 hours with another acceptable scene. Until then, take care, and be aware. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot-15 { ; time=0:31:44.87--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=+0.25620301284127930/-0.000987866605141\ 90/3.070075e+011/1/-42.4940527126489584/-0.0001586\ 27323509942519 params=0/0 float=y maxiter=320000 bailout=9 inside=255 logmap=16000 periodicity=10 colors=000tbktbksajr`ir_iqZhqZhpYgoXgoWfnWfnVemUel\ TdlSdkSckRcjQbiPbiPahOahN`gM_fL_fLZeKZeJYdIYcIXcHX\ bGWbFWaEV`EV`DU_CU_BTZBTYASY9SX8RX8RW8SV8TU8UT8VS8\ WR8XQ8YP8ZO8_N8_M8`L8aK8bK8cJ8dI8eH8fG8gF8gE8hD8iC\ 8jB8kA8l98m88n78o78o99nBAnCBnECnGDmHEmJFmKGmMHlOIl\ PJlRKlSKlULkWMkXNkZOk`PjaQjcRjdSjfTihUiiVikWilWikV\ gkUejTcjTajS_iRYiRWiQVhPThPRhOPgNNgNLfMJfLIfLGeKEe\ JCeJAdI8dH6dH5eJ5eK5fM5fN5fO5gQ5gR5gS5hU5hV5iX5iY5\ iZ5j`5ja5jb5kd5ke5lg5lh5li5mk5ml5mm5no5np5or5os5ot\ 5pv5pw5px5nw6lv6ku6it6gs6fr7dq7cp7ao7_n7Zm8Xl8Wk8U\ j8Si8Rh9Pg9Nf9Me9Ke9JeFHeKFePEeUCdPBbK9`F7ZB6XB4VB\ 4WA3VB3VB3UB3UC3TC3TC3TD3SD3SD3RE3RE3RE2QF2QF2PF2P\ G2PG2OG2OH2NH2NH2NI2MI2MI1LJ1LJ1KJ1KK1KK1JK1JL1IL1\ IL1IM1HM1HM0GN0GN0GN0FO0FO0EO0EP0EP0DP0DQ0CQ0CQ0CQ\ 8BNFALJ8AKAJKAAKBAKCAKCAKDAKDAKEAKFAKFAKGAKGAKHAKI\ AKJAKKAKKAKKAKKAKKAKKAhzz } END PARAMETER FILE=========================================

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Doesn't look like a fractal!
by John Wilson 27 Nov '03

27 Nov '03

My recent attempts to resurrect some antique software to a reasonable purpose have come to naught. My "Fractal Programming in Turbo Pascal" produces fractals in a "PCX" format, which are readable using the same software. However I cannot read them in any other graphics program, to convert them to, say, GIF's, in spite of suggestions in this group, and the kind donation of an elderly graphics file converter which *should* have done the job. ( The "screen_restore" command renders the "PCX" files by writing pixel columns from left to right). Anyway I've abandoned this research for a while, as I have obtained a copy of "Fractal Creations" from e-Bay, and a copy of the CD from Tim, (thanks again). The great fractals obtained by FRACTINT pioneers inspired me to look again at the basic Mandelbrot and Julia sets, and I stumbled upon this one, which is a variant and a zoom into one of the pioneering efforts. To me it doesn't look at all like a fractal...until color cycling is turned "ON". Very odd, and I think a better color scheme could make it quite remarkable. John W. ---------------------------------------------------------------- fmod_zoom { ; Test of outside=fmod with 'mod' bailout ; Version 2002 Patchlevel 4 reset=2002 type=julia passes=1 corners=0.24028190305/0.24057818099/0.56447971722/0.56470192568 params=-0.7387588245570118/0.1409069307481326 float=y maxiter=120 inside=fmod proximity=0.009 outside=fmod colors=zzzG9NdR8A`D<3>q7sBD9ACY8Av<3>B34OF7`RB<3>u_L4j8xz`W_P29DLFQdMb<3\ >dnH<3>ABRXHIsN9pmJ<3>wBO<2>U89WP6Ye3_v0<3>rPq<2>d2ZMAm<2>s_8<3>c7VbXYav\ `akX`_TezuEPw<3>W0c<2>uk3<2>M1QQBdVLt<2>T4khJneXqbkt<2>enngolfnjelgdjd<3\ >YAv<3>3c_4bQ6aG<2>v`A<3>oiH<2>lcBj`9gWz<2>UD0T`TSyu<3>pBUlKKgU9SPLRWYPb\ kNeULiBFj4<3>VGP<2>NBFYOHIe`1wtWJ8UFWSBs<2>lKl<2>rDC<2>Aco<2>bCx<3>1oNON\ a<3>b0e<2>Z0FX16X7K<2>USy<3>ayO2zWznt<3>E3T<3>`YA<2>K7L<2>h9a<3>q39<2>3Y\ RMiEdv0<2>pFeTMb4TZ<3>zdG<2>CBnbyQ<2>M2u<2>Lmtbu8<3>17c<3>YQt<3>VIM<3>pa\ 3<2>OMIRHEUBA517KAZZJz<3>xTz<3>c62 }

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Re: midget Mandelbrot sets
by JackOTradez 27 Nov '03

27 Nov '03

Hal - No to your question; my understanding (if correct) is that no two minibrots (out of an infinite number of them!) are EXACTLY identical (aside from the symmetry about the real axis). The differences may be too small to see, even an infinitesimal difference that you wouldn't see until you zoomed in a zillion times, but different they are. And NONE EXACTLY resemble the parent brot! Also, every single one of the minibrots are connected! It is ONE set - there are no minibrot "isolated" lakes! The connecting "line" also may be infinitesimally thin, but it is there. However, if you zoom in and explore around, you can find some minibrots that are distorted enough to easily see - like one lobe of the main cardiod bigger than the other, or a warp/distortion in shape somewhere. There are lots of these - I have seen many in my fractal travels. Stay Amazed! JoTz

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FOTD 26-11-03 (Mandelbrot-14 [6])
by Jim Muth 26 Nov '03

26 Nov '03

FOTD -- November 26, 2003 (Rating 6) Fractal visionaries and enthusiasts: Since I have another pile of work starting to develop and it's the day before the 4-day Thanksgiving holiday here in the U.S., today's discussion will once again be short. I don't want another backlog to get started. The scene of today's image is deep in a filament extending outward from the northeast shore of the main bay of the large midget at -1.75 on the main stem of the Mandelbrot set. The magnitude is just slightly into the range where arbitrary precision math is needed to maintain resolution, but despite this, the image still renders in 16 minutes, which is faster than some of the conventional-math images of the past few days. For a rating, I could give the image nothing above a 6. Hope- fully, before the present tour of our old friend, the Mandelbrot set, comes to a close, I'll find a scene worthy of a 9 ....... then again, that might be wishful thinking. To see the scene of the action, run the attached parameter file and return in 16 minutes, or download it from one of the FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Tuesday here at Fractal Central was eminently average. The partly cloudy sky, temperature of 46F 8C and moderate northwest wind made the cats act like average 13-year-old cats while they were out in the yard in the afternoon. Considering the behavior of average 13-year-old cats, this leaves little room for action. Today looks like a repeat with even less sun. I expect the duo will have a similar day. As for me, I've got some work to wrap up before that 4-day holiday begins tomorrow. Until next FOTD, take care, and one of these years I'll decide to devote my full time to fractals. See you in 24 hours. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandelbrot-14 { ; time=0:16:24.26--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=-1.74654440989129756/0.0083322745890837\ 53/5.755045e+013/1/-155/3.88578058618804789e-016 params=0/0 float=y maxiter=2400 bailout=9 inside=0 logmap=220 periodicity=10 colors=000J6GH6EKADPDCSGCVKBXOA_RAaU9dX8g_8jb7me6p\ i6sl5tn5pm9kkDfiGbgKYeNUcRPaVL_YGYaCWd7Th3PkFPeRO_\ aKUmHOxUUwccvZmuWwtTmsWcr_UrcTqgVpkWooYnsZmw`mzanw\ _osYooWpkUpgSqcQr_OrWMsSKsOItKGuGEuCCv6Av39rDIocRl\ Y_ikghfcgb`fZXeVUdRQcNNbJJaFG`BC`79d8Ag8Ak9Bn9BrAC\ uACxACuGGsLJpQNnVQl_UieXgj`docbtg`yjdqkgjkjbkmWkpP\ ksHkvAky3khHiSUhRVfQVdPWcOWaNX_MXZLYXKYVJZUIZSH_QG\ _PFRLFIHFgvFbpFZjskglhfeeeZbeS_dLXcEUb7RbNJQbBDq41\ zE0RPGtD2nC4hC5bB7XA9RAAL9Ci10e22a34Y45U57Q69M7AI8\ CaHWXFSSDOOCKJAGZ2JV4HR5GN7FJ8ET8vO9fJ9SvRUgLOTFIj\ `EfXDbUDZQDVNDRJDNGDJCDcFIXDGRCFLAEBkoCeiDccDcZEcT\ EcOFcIycwrcpkcidcbZcXScQLcJ9cvBclCccDcVEcMTcbQcXNe\ SKgNHiInk4fm6_o8TqAMsCYuxOw`OzmMzfLz`JzVIzPGzJOzoM\ zhLzbJzWIzQGzJ`zIXzHUzGRzFOzFLzEIzDxz5rz6lz7fz8az9\ WzAQzBKzCDzQEzOEzMEzLEzJFzHFzGFzE4zb7zX9zSBzNDzIhz\ dczMXzJRzHLzFTzORzMOzKMzI } END PARAMETER FILE=========================================

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