June 2005 - Fractint - mailman.xmission.com

FOTD 20-06-05 (Golliwog [7])
by Jim Muth 20 Jun '05

20 Jun '05

FOTD -- June 20, 2005 (Rating 7) Fractal visionaries and enthusiasts: With today's fractal we enter new territory. We are still examining fractals with exponents slightly greater than whole numbers, but we are combining various portions of two different exponents. In today's fractal, we have combined one part of 2.00001 and 1/10 part of 4.00001 to produce an infinitely divided main stem, creating an effect of a crazy railroad switching yard, but with different inner details. At such an early stage of exploration, I have barely scratched the surface of what might exist in the depths of such fractals. I have much more exploration to do before I can come to any conclusion about the potential of today's line of investigation. Luckily, the commercial work is still slow, (in fact, it's a bit too slow), and this will give me lots of time to spend in fractal land, exploring today's theme. I named today's image "Golliwog". The image is not really so grotesque as to deserve that name, but the word is one that is not heard very often, so the name will remain. Actually, I'm not quite sure what a golliwog is. I seem to have the impression that it is an ugly, animated doll, perhaps appearing in a story I once read. Today's rating of 7 is an improvement over yesterday's sagging rating. The render time of 19-1/2 minutes on my lazy 10-year- old machine is still slow, but the image is at least more worthy of the effort. Those with machines that suffer knee-jerk reactions to Fractint and its old VESA video modes will need to download the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds hung overhead all day Sunday here at Fractal Central, but no rain fell, which made conditions quite satisfactory for the fractal cats, who spent most of the afternoon in the holly thicket, enjoying the temperature of 73F 23C. They needed only a small treat of tuna in the evening to keep them in a good mood. Today is starting with clouds and rather chilly temperatures. It remains to be seen how the duo will take these conditions. For me the work awaits, so I had best get started. The next in the endless string of fractals will appear in 24 hours. Until then, take care, and I might know everything about everything, but I still don't know what it is that does the knowing. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Golliwog { ; time=0:19:37.72--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotMix2way passes=1 center-mag=-1.46096687924101100/+0.000029695024164\ 56/1.475676e+011/1/-10.000181730934818/0.000277112\ 388399815279 params=1/2.00001/0.1/4.00001 float=y maxiter=3000 inside=0 periodicity=10 colors=000ztkztjzrlzrlzpmzpmznnznnznnzllzikzfhzefz\ bdz`bw_`sX_pTXmSWjPTgNSeLObJOYGLVEKSCHP9GM7DK5BH28\ E07H3AK5BL6DO7ER9HSAIVCKYDL_EObGPeHQfISiKVlLXmMYpO\ ZsPatQcwSdxTepX_i`WaeRTfNKiIClD5o90p40f70Y90PB3RE6\ RH9SKCSOFSQHUUKTVNUYQT`TTcWUfZUibUjgRilOhoLgsIfwFf\ zDdzAdz7cz4bz0bz0ap8fOEi0Lj0Tc1`Y4gP6mIEjKLiLSgN_f\ OgdPmbQt_SzYTzWTz_QzbNzeKziHzlEznBzr9zu5zx2zs4zp5z\ m7zk9zgAzdCzaDxZExWGxSHxPHtUGpZGlbHggFdjG_oFUqFPvD\ KxDHzDDzD8zA3zA0zB0zB0z92zA5zA9tACo9Gi9JcANXARRAUK\ 9XC9_58b09e09`0AX0CS0EO0EK2GG3IB5K66K28L09M0CM1GO9\ JPFMRMOSUSS`VTgYUm`WtdXzfYziZzl_zhazgbxddtcfpahl_l\ fYmaXoXTpSSqORsJOtFMvWEzbJzjPzrTxzYxw`zsbzoczkfzgi\ zdkzanz_pzXnzWkzUgzSdzQbxPatOZpLXlKTgIQcGO_ENVDKRC\ HM9EI8CE699584AC6DH9GLCIOFLSIOXKQ_NTcQXgTZlWaoYcs`\ fwbizekzhnzkpzmozlnzknzklzilzikzhizfjzghzehzefvaeq\ YdlWdgRzzfzxgzxgzvizviztk } frm:MandelbrotMix2way {; Jim Muth z=0,0, c=pixel, a=real(p1), b=imag(p1), d=real(p2), f=imag(p2): z=(a*(z^b))+(d*(z^f))+c, |z| <= 100 } END PARAMETER FILE=========================================

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FOTD 19-06-05 (Fine-Tooth_Combs [5])
by Jim Muth 19 Jun '05

19 Jun '05

FOTD -- June 19, 2005 (Rating 5) Fractal visionaries and enthusiasts: For today's fractal I ventured into the land of near-cubic Mandeloids. I began my quest by checking the broadened west valley of the Z^(3.0001)+C fractal. What I found there was a land of fine-tooth combs, a small view of which appears in today's image. I named the image "Fine-Tooth Combs", and rated it at a not-too-impressive 5. The FOTD ratings are continuing to slip, so I had best take action. I have several lines of investigation in mind that I have yet to try, which should bump up the ratings of the next few FOTD's at least a point or two. The near 23-minute render time of today's image is slow. The most efficient way to see the image is to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The Saturday weather was slightly warm for perfection, but the temperature of 84F 29C was mild enough to keep the fractal cats happy. Today is starting with clouds, and it is cooler. Unless it rains, the cats should be satisfied again. For me it looks like a day of doing nothing, though the grass is getting a bit tall, and if I start hearing hints, I might decide to trim it. The next FOTD fractal will appear in 24 hours. Until then, take care, and trust the unknown to remain unknown. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fine-Tooth_Combs { ; time=0:22:42.37--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotVE-VP passes=1 center-mag=-0.38519293800111350/-0.000066020518867\ 92/8.533333e+008 params=3.0001/0/0/0/0/0/2/0 float=y maxiter=15000 inside=0 periodicity=10 colors=000VlqQpqPopOnpNmoMloLkoKjnJinJhnIgmHfmGelF\ dlEclDbkCakCakNUSXN8WO9VP9UQ9TR9SS9RT9pNIqMArL3pJ9\ nIElHKjGPiFUaERVDPOCNHBLAAJ5TQ0kXFdXUYXhRXvLXqNVlO\ TgPRbRPYSNTTLPUJRVOTVSVVWXV`ZVd`VhaVl_WhZWdYX`XXXW\ YTVGPUPMZUMdYLjbLocLlhMimMfqNcvN`zNZuTXqZWldUhjScp\ R_vTYrUXoVWlWViXUfYTcZS`PrNXoOdlOkiPsfPzcP_MDA52D7\ 3P84U94cA5VB6SC6VD7XE7SG6OI6KJ6GL6CM68O64P6C`GKlQS\ xZQtZPqZNnZMkZKhZJeZHbZG_ZLY`QWaVVbZTccRehQfmOgqNh\ rQdrSarUYrXVrZRr`OpPUnDZXXJFo4JlCMjKPgSSe_VbgY`obV\ w`ZwZawXewVhwTlwRowPrwQltQfrQ`oQVmQPkQJhQDfQ7dR6fS\ 6hT6jU6lT4pU6mV8jW9hXBeYDb`AZZE`XHbWLdUOfSRhRRfPYl\ MYoO`nPbnRdnSfnUinVknXmnZnxYonYpdYqVWu2YrLZoc_lvgi\ ooghmcfk`diXcgUahbtfR`_BEeFHkJKzNMoDNa4NzPYzdKzmcd\ `Z_YVZYWYZYX__W_aV`cUaeTbgSbhRcjQdlPenOepNfrMgtL2Y\ L8`LDcLIfLNiLTlLYoLbr2am4bn5bnUapY`nb`mf`lhVcjPVkJ\ MmDDn84lFHkLTjSeiYqdbq_gq } frm:MandelbrotVE-VP {; Jim M. variable escape and power a=p1, z=p2, c=pixel+p3, b=sqr(real(p4)): z=z^(a)+c, |z| < b } END PARAMETER FILE=========================================

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FOTD 18-06-05 (Apricots, No less [6])
by Jim Muth 18 Jun '05

18 Jun '05

FOTD -- June 18, 2005 (Rating 6) Fractal visionaries and enthusiasts: Today's image is located in the same general area of the same parent fractal that held yesterday's image. Today however we are examining a point in a node on a railroad track farther from any of the areas of chaos between the two large midgets. I named the image "Apricots, No Less". That's what I was reminded of when I first saw it. When the time arrived to rate it, I could give it nothing higher than a 6. The image renders in a zippy 1-1/2 minutes, making it worth the little effort required to run the included parameter file. For the convenience of those who do not render, the already- rendered GIF image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Perfect 77F 25C weather Friday made the cats very happy. Unfortunately, such happy cats make a very dull story. Today is starting the same, so I expect more happiness from the cats. For me the work is still slow. I almost feel like taking another 3-day vacation, but I will resist the temptation. The next FOTD will appear in 24 hours. Until then, take care, and where are we? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Apricots_No_Less { ; time=0:01:22.55--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotVE-VP passes=1 inside=0 center-mag=-1.75396686926056700/+0.000592018702782\ 90/4062992/1/135/1.87370678486620257e-008 params=2.005/0/0/0/0/0/2/0 float=y maxiter=400 logmap=46 periodicity=10 mathtolerance=0.05/1 colors=000KPOKONKNMKMKKLJKKHKJGKIEKHDMGEOFEwMRzUPz\ dNzcLwPJxXHydGzlEztDHudFn`EhYDbVCXSAQP9KM8EJ78G62D\ 7HG7VI7iL7wNBpKEiHIbELWCOP9SI6VB3Y41VA9SGGQLNNRULW\ `JV_HV_GVZEVZDUYBUYAUX8UX7UXFPNMKEQVwNUvLUuIUuGUtD\ UtBUs9UsCRsEPsGNsJKsLIsNGsQDsSBsU9sVCnWEjWGfXIaYLY\ YNUZPPZRL_UH`WC`Y8a_4aa0alS_iQYgPWeNVbMT`KRZJQXIOU\ GMSFKQDJNCHLAFJ9EH8EKAENCHC9JC6LB3NB0TA8Y9Fc9Nh8Um\ 8`iDXfHUbLR_POXTLTXHQ`EMdBJh8Gl5Dm6An67o74o78nCBnH\ EnMImRLmWOm`SleVljYlo`ltZhsXerWbrU_qTWpRTpQQoONoNJ\ nLGmKDmIAlH7lG6kG5jaAwUJuNSsG_rLbnQdjVgfZibckZhnVl\ pRqsNvuJzwFuuGqtGmrGiqGdoG`nGXmGTkHPjHKiHGiHCiH8hH\ 4hHAhJBhLBgNBgPCgRCgTCgVCgXKg`RgcYdfdbif`jh_kiYlkX\ mmVnnUopSprRqsQqpOnmNkjMigMfdNdaOaZP_WQXTRUQSSNTPK\ UNHVKEWIBXF8YDDZEH_EMaEQcEVeEZgEciEgkElmEpoEnqJmsN\ kuRjwWhx_gycTzdEzeIz`MzWPzXRzXTzXVzXYzY_zYazYczYdz\ XdzWdzVdzUdzTdzSezRezQezP } frm:MandelbrotVE-VP {; Jim M. variable escape and power a=p1, z=p2, c=pixel+p3, b=sqr(real(p4)): z=z^(a)+c, |z| < b } END PARAMETER FILE=========================================

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FOTD 17-06-05 (Switched [6])
by Jim Muth 17 Jun '05

17 Jun '05

FOTD -- June 17, 2005 (Rating 6) Fractal visionaries and enthusiasts: The FOTD rating continues to slip. Two days ago it was 8; yesterday it was 7. Today's rating is down to a 6, which is only a little above average. I must do something about this tendency to degradation before it gets out of control. But even a 6-rated fractal is worth consideration, so before we set out in a new direction, let's consider today's image. For today's fractal we go to the Z^(2.005)+C near-Mandeloid and check the area around the large midget on the main stem. When we do this, the first thing we notice is that the stem has split far enough for the large midget to have divided into two totally disconnected midgets. Between the two midgets lies an area of mixed chaos and railyard features, filled with an abundance of sub-midgets. Today's scene is located near the point where one of the railroad tracks merges into an area of chaos. I named the image "Switched". After all, one thing a railyard is full of is switches. Actually, the scene has more chaos than railroad features, so a better name might have been something like 'Chaotic Express' or 'Journey to Chaos'. Regardless of the name, the image renders in only 4 minutes, which makes it worth the effort of rendering. And the completed GIF image is always available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> At this point, a bit of philosophy is included in the philofrac- tal version. Thursday was near perfect here at Fractal Central. The sky was fair, the temperature reached only 84F 29C, and the humidity was lower. The cats showed their satisfaction by spending most of the afternoon out of sight in the holly patch. Today is start- ing the same. For me it looks like another slow day. Slow days are enjoyable, but we don't want too many of them. Slow day or not, the next FOTD will appear in 24 hours, complete with fractal. Until then, take care, and take it easy. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Switched { ; time=0:04:25.02--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotVE-VP passes=1 inside=0 center-mag=-1.74880239140019400/+0.001111975741346\ 33/9.387609e+011/1/-147.6/-0.093535702628639486 params=2.005/0/0/0/0/0/2/0 float=y maxiter=1000 logmap=152 periodicity=10 mathtolerance=0.05/1 colors=000d3fb4c`5aZ6ZX6WV7TU8RS9OQALOAIMBGKCDIDAG\ E7FE5EH8EKAENCDQFDUHDWJC_MCbOCdQBgTBjVBmXAq_AtcAvh\ AxmLurVrvcpz_izVczRYzMRcILUDFP99Kmz1hv6crAZmEUhJPc\ NK_RFYWAX_5Wc4Vg8bmCirGpwIquJqsKqqLqoMqmNqkOqiHrnA\ ss3txXpozmfwictfaqbZn_XkXVhTSeQQcNOeLNfKNgJMhIMiHM\ gJQeKTdMXbN_`Pb_QfYSiWTlVVpTWsSXvWZsZ`qabndclgeikg\ gnhdqjbtl_wmYsnVonSkoPgoNcpK_pHXpFSaPNNZI9g_9ap9Wh\ RXahXVjX_lRd`LhPFfRJdTNbUR`WUZYYXZaV`eTbhRclPepOfs\ NilNlfNo_MrUMuNMxHMzBJuFHpIFkLDfOBbR8YU6TX4O_2Jb0F\ e5La9QYEWUI`QNfMRkIVpEYmJ`jObgTedYgabjZglWloTqqRvm\ UtiXsf_rbapZdoWgnSjmOlkLojHriEthCrZBpPAnF9m5Dk8HiA\ LhCPfETeGXcI_bKc`Mg_OkYQoXSsVUvUWrUToURlUPhUNeULbU\ JZUHWUFTUDSUFRUHQVIPWKOXLNYNMZOL_QK`RJaTIbUHcWGdX9\ eTEfNIgHMhCLiHKjMJkRIlWHm`GneGojFqgEsdEuaDw_CxXCzU\ BzRAzPAzM9zJ8zG8zE7zB6z86z69zABzDEzGGzJJzMLzONzQPz\ TRzVTzXVzZXzaizjhzkhzlfzi } frm:MandelbrotVE-VP {; Jim M. variable escape and power a=p1, z=p2, c=pixel+p3, b=sqr(real(p4)): z=z^(a)+c, |z| < b } END PARAMETER FILE=========================================

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FOTD 16-06-05 (The Emerald Kingdom [7])
by Jim Muth 16 Jun '05

16 Jun '05

FOTD -- June 16, 2005 (Rating 7) Fractal visionaries and enthusiasts: It is sometimes said that advertising is filled with subliminal messaging -- hidden images and sounds that act directly on the subconscious, turning the reader or viewer, without his being aware of it, into a proper consumer, who finds himself filled with unexplained and uncontrollable urges to go out and spend his hard-earned money on something he doesn't need and would be better off without. When I first heard this claim, I didn't believe it. After all, can't any child find hidden faces in clouds. The brain has a great ability to imagine familiar things in random shapes. I assumed that those who told me they saw dirty pictures in advertising illustrations simply had dirty minds. But even though I wasn't convinced that the subliminal stuff others told me about is actually there, I started looking for it in the ads in the magazines I read. I soon found enough to make a believer of me. Some of it is so obvious that it is hard to see how it can be considered subliminal. Advertising has many levels. It is filled with things that are not immediately apparent. And much of this hidden content is sexual in nature. The effect- ivness of this technique is another question, but it is curious that I see those who lived 40 years without a hand-held mobile phone now claiming that they could never survive without one. I mention subliminal advertising because I found myself scanning today's fractal for subliminal images. I found a few vague shapes that could be faces, but these are simply a demonstration that we can find faces most anywhere. Arrange any three splotches in a roughly triangular pattern and the mind will see two eyes and a mouth. Luckily, the only thing I am trying to sell is fractals. Today's image is a scene in the East Valley of the large midget on the main stem of the large midget on the main stem of the Z^(2.000000003)+C almost-Mandelbrot set. (HAH) I named it "The Emerald Kingdom" because of its colors. Once again, the image is so fractured that the breaks create the shape of the features. I rated the image at a 7. I would have given it an 8, but I have been doing quite a lot of work with similar images lately, and they are beginning to seem routine. The render time of 18 minutes is on the slow side. Full relief for the fractal delay may be found at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a high temperature of only 88F 31C, more breeze, less humidity, and more clouds, Wednesday was a far more pleasant day at Fractal Central, both for man and cats. The duo spent over five hours exploring the yard, and ended the day with a generous treat of tuna. Today is starting even cooler. It looks like another good day for the cats. The next in the near-endless series of FOTD fractal images will appear in 24 hours. Until then, take care, and incredibly, we learned enough to invent computers in classrooms without computers. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TheEmerald_Kingdom { ; time=0:18:04.23--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotVE-VP passes=1 float=y center-mag=-1.78577107718842300/+0.000000042225034\ 24/5.817589e+009 params=2.000000003/0/0/0/0/0/2.2/0 maxiter=10000 inside=0 outside=imag periodicity=10 colors=000O06P29R7ASCCUHEVMFWRHYVI__K`cLahOclPdqRe\ uSgzUhzVjzWkzYlz_dzVWzROyMFsI6nE0hA0gE1eH1dK2cM2aP\ 4`S4_V6_W6Y_7Wa7Vd9Ug9SjARlARnCVkCYhC`gCcdCecCh`Ck\ _CnWCqVEuSExREzOEzMEzKEzIEzFEzEEzAEz9HzCKzFLzHOzKR\ zMSzOVzRYzU_zVazYdz`eyahxdkwgluhoskrrnsoownryluzkw\ zjyzhzwgoneeedVYcLPa9H`0I_1KY4LW7MVAOVEPUHRSKSRMUP\ PVPSWOVYMY_L``KcaKecIhdHkeFngEqhEsjCwkAyl9zn9zRch2\ zM1zL1zK0zI0zI0zH0yF0xE0wE0uC0uA0s90r90q70o60o40n4\ 0l20k10j00j00h00g00e00e00d00c40a90aE1`I4_M7YR9YVCW\ _FVcIUgKUkLShLSgLSdLRcLR`MR_MPWMPVMPSMOROOOOOMOMKO\ MIOMHLOKKOLIOOHOPEOSCOUAOW9OY6P_4Pa2Pc1Pe0Pg0Pj0Pk\ 0Pl0Sj2Uh7WgAYeF`dKacOdaRe`Vh__jWclVenUjqSnrRruPuw\ OyyMzzLzzKzzWyzguzsrzzozxlyzjwlguuerrcqk`nd_l_WkUV\ jOShORgMOeLMeLKdKIcKFaIE`HA`H9_F6YE4VE1UC0SC0RA0O9\ 0M90K70K70HA0HE0FF1FI4EL6CM9EPCESFFUIHWKHYMH`PHcSI\ dVIgYKj_IkaKndKqgKrI6FL1A } frm:MandelbrotVE-VP {; Jim M. variable escape and power a=p1, z=p2, c=pixel+p3, b=sqr(real(p4)): z=z^(a)+c, |z| < b } END PARAMETER FILE=========================================

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FOTD 15-06-05 (The Inner Limits [8])
by Jim Muth 15 Jun '05

15 Jun '05

FOTD -- June 15, 2005 (Rating 8) Fractal visionaries and enthusiasts: In today's fractal we take the Z^2.0001+C near-M-set and view it 1000 levels up the hyperspiral, at a point where the large filament extending southwest from the bud centered at -1.31 intersects the negative X-axis. We then zoom into a very tiny midget on the filament, very near the point where it crosses the X-axis. The most obvious thing about the image is that its extreme magnitude is causing it to break down. But in this case, the lack of mathematical precision actually makes the image. It does so by introducing a unique texture such as certain fine artists might strive for. Since we are beyond the limit of the depth it is possible to achieve with this particular fractal, I named the image "The Inner Limits". And yes, I *was* thinking of an old TV show, one of the interesting kind that is no longer produced. Curiously, if it were not for the breakdown, the image would have rated only a 7. As it is, the unique texture raises the rating to an impressive 8. The render time of 7 minutes is within reason, and may be eliminated entirely by downloading the completed gif image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I think I'll declare next week a week where I name the FOTD fractals after some of the spam subject lines I receive that week. This morning I deleted about 25 of them. Most are pure gibberish, but some, such as 'why didn't you tell me', are truly creative, causing one to ponder 'who didn't I tell something to'. But if I do this, I'll pick only the most creative subject lines. Another hot muggy day Tuesday kept the fractal cats asleep most of the time. The high temperature of 93F 34C was simply too warm for normal holly-thicket activity. Luckily, the duo realized this, and were not troubled. Today is starting much the same. More of the same is likely from the cats. For me the work is still slow, but the fractals are as hot as ever. Until the next one appears 24 hours from now, take care, and the strange thing about fractals is that they can be both hot and cool at the same time. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Inner_Limits { ; time=0:07:07.70--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 mathtolerance=0.05/1 center-mag=-1.41545766839771800/+0.000001306788129\ 35/3.214947e+012/1/72.4887718120855027/0.011650530\ 4108602131 params=2.0001/0/1000/0 float=y passes=1 maxiter=1500 inside=0 outside=tdis periodicity=10 colors=000H9uGBqGCnFEjFFgEHcEI_DKXDLTCNQCKMBKIBKFA\ KBAK8CKBDKEEKHGKKHZNIZQJZSL_VM_YN_`P_cQ_dR_eS_eWXb\ _U_bUXdUSeRNeNIgJDjG9iHCiHFiHIiHLhHOhHRjHUlHXmI_oI\ bqIeqIhpIkpInpIqpIshXd`kqUzzRqqPiKN`PLTTJKYHCaFKXE\ RTDZOCeKBcJBbJB`IB_IBYHBXHBVGBUGATGARFAQFAOEANEALD\ AKDAJDFKCJKCOLCSLCXLB`MBeMBiMBeKAbIA_GAXFATDAQBANA\ AK8AG6AD5AA3A71A40A86KBCUFIcIOmLTv`nCZmEXmFVlGTlHS\ kIQkJOjLMjMLiNJiOHhPFhQEhREfSEeTEdTEcUEbUEaVE`VE_W\ EZWB`Z8ba5dd2ef7baB_YFXTKUPORKSPGRXERdDQlCQtBTo9Wj\ 8Ze7a`6cW5fR4iM3lH2oC1q80pI7oRDn`KmiQlrWhnUejTbfRZ\ bQWZOTVNRTLPSJNRHMPGKOEINCGMAFK9DJ7BI5AH49SJ8aY8kl\ 9hm9emAbnA`nBYoBVoBTpCQpCNqDKqDIrEFrECsEAsDBpCBmCB\ kBChBCfACcADa9DZ9DX8EU8ES7EP7EN8GO9IPAKQBMQCORDQSE\ STFUTGWUHYVI_WIaWJ_VJZVKXVKWVKVULTULSULRUMPUMOTMNT\ NLTNKTNJTPSOR`JTiEVr9`oLjtYotXsuWwuVrlcmcliVtQwKPt\ KPqKPnKPkKPiKPfKHItICwI7y } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-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 14-06-05 (Four Score and More [8])
by Jim Muth 14 Jun '05

14 Jun '05

FOTD -- June 14, 2005 (Rating 8) Fractal visionaries and enthusiasts: With a bit of extra time to explore, I found a fractal in an almost-M-set that earns a rating of an excellent 8. The midget itself lurks at the center of the frame, and is beyond resolution, but the pattern around it is one I have never seen the likes of in the classic M-set. Apparently, there is a whole new world waiting to be explored in these almost-M-sets. The scene is located in the East Valley of the second large midget beyond the largest midget on the infinitely-divided main stem of the Z^2.000000002+C Mandeloid. The discontinuities in this area are very thick. Everything is well broken. But there are so many breaks that, instead of destroying the patterns, the breaks themselves create new patterns. In some places, the equally-spaced breaks give the effect of an image reflected off the ripples of a lake. The four-pointed 'star' in today's image is not composed of the usual equal-iteration bands. It is composed of discontinuities arranged in the shape of a star. True, the image was rendered with the outside set to 'tdis', but the image appears almost the same with the outside set to the standard 'iter'. With no real work to distract me, I was able to put extra effort into coloring the image. The result is an image that honestly rates the 8 I gave it. I named the image "Four Score and More". Maybe I was thinking of Gettysburg, where I stopped briefly on my holiday. The 17-minute render time is a bit slow, but the image is worth the wait. For those who would rather not wait, the image is posted on the FOTD web site, ready to be downloaded. The FOTD web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The four hot humid days since the last FOTD resulted in very lazy cats, though with the fractal duo it is hard to tell the difference. The only time they showed action was Monday evening, when a bolt of lightning from a distant thunder-shower unexpectedly struck nearby. No rain fell, but the sound was startling. The duo dashed to their security closet and hid there for nearly an hour. Today is beginning hot and muggy again. The cats will likely be lazy again. For me, there is just enough work waiting to prevent boredom from setting in before I get to the interesting scenes of fractal land. Unless I take another short vacation, which is unlikely, the next FOTD will appear in 24 hours. Until then, take care, and are dreams real? Really? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FourScore_and_More { ; time=0:17:32.10--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotVE-VP passes=1 center-mag=-1.94054474187531500/+0.000000011288478\ 33/8.752805e+012/1.0006/-5.04638103941016958/0.140\ 780121501218797 params=2.000000002/0/0/0/0/0/2.3/0 float=y maxiter=5000 inside=0 outside=tdis periodicity=10 mathtolerance=0.05/1 colors=000S00A_8C_9Da9EaAEaAGXCHSCJPDKKDKGEMDEO9EP\ 5GR2GR0HS0HU0JW0JW0JS0MR0O00P00S00U00W00X00_00a00c\ 00d00h01i02k14o25p16r08t09w0Ay0Cz0Ez0Gz0Iy2Kw5Mv8S\ tAQtDSrGUpJWoOYmR`kUakXci_chccffcdiccmccrckwdtzczz\ ezzgzzizykzvmzrozpqzmszkuzhwzdxzcyz_zzXzzWzzSzzRzz\ Gzw8zf0vR0mD0fE0cG0aH0ZH0WJ0UK0RM0PM0MO0JP0HR0ER0C\ S0AU08W06W0AR0EO0JJ0PG0UD2_95d69k2Gp0Kw0Pz0cz0dz0k\ z0fz0iy0kz0ky0pv0zz0yw0xu0ws1vq4uo5tm6sk9riAqZCpeE\ oQGnaHmSKkYMiOOgNMeMDcI8aE4_A0Y60W00U00P01K05F0A80\ EC0KG1PK0WP0_U0fZ0kc0rh0wm0pr0iv0cz0Zz0Sz2Mz4Hz8Dz\ EAzM8zU5za2zi0zr0zr0zr0zr0zr0zr0zr0dS0XO0PJ0HG0AC0\ 4905C16D28E29G4AH5CJ5DK6EM8GO8HP9JRAKSAMUCOWDPXDKS\ HGPKDMP9JS6GX2D_09c06h04k01p00t00w00r00m00h00c00Z0\ MJ0OM0OO0OP0OR0PU0PW0PX1PZ2Ra4Rc5Rd6Rf8Rh5Sc2S_0SX\ 0SU0SR0UO0UK0UH0UE0UCE_aofzkaviXohUhdPccMXaHRZDKXA\ GW6AS45R00P00M00K00J00O00 } END PARAMETER FILE=========================================

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Q. re [ FOTD 01-06-05 (Hexa-Something [5]) ]
by Hal Lane 11 Jun '05

11 Jun '05

############################################################## Jim, I enjoyed your 'hexic' fractal (below): [FOTD 01-06-05 (Hexa-Something [5])] but while zooming out until I could see the entire fractal I did not immediately see anything that had obvious three, four or five-fold symmetry along the way (though I'm afraid I was zooming out pretty rapidly): > Even more unexpected are the much smaller and near-perfect > quadratic, cubic and quintic midgets scattered invisibly through > the scene. How does one view 'invisible' midgets? - Were you able to apply a certain rendering method to render them visible? - Or does 'invisible' in this context just mean that they are too small to be seen at the scale of the Hexa-Something fractal? Also, are you using the phrase 'quintic midget' to refer to: - a midget that has five lobes, - one that has five-fold symmetry around it (the way Hexa-Something has six-fold symmetry) or - one generated by an equation with a variable raised to the fifth power? - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # ######################### >-----Original Message----- >From: Jim Muth [mailto:jamth@mindspring.com] >Sent: Wednesday, June 01, 2005 10:07 AM >To: fractint(a)mailman.xmission.com >Cc: philofractal(a)lists.fractalus.com >Subject: [philofractal] FOTD 01-06-05 (Hexa-Something [5]) > >FOTD -- June 01, 2005 (Rating 5) > >Fractal visionaries and enthusiasts: > >We start June with an enigma of the fractal variety. > >The thing at the center of today's image is a puzzle. It shows >all signs of being a hexic object, if that's the proper name for >equations of the 6th degree. But the parent fractal was created >by a combination of Z^3 and Z^5. Its formula contains not a >hint of Z^6. I guess that's how fractals are -- always doing >the unexpected. > >Even more unexpected are the much smaller and near-perfect >quadratic, cubic and quintic midgets scattered invisibly through >the scene. I will check further into this situation later >today. When the suspected unexpected is found to exist, can the >unsuspected unexpected be far behind. > >All this talk of mysterious things does not make a great fractal >however. Despite its mystery, today's image rates only an >average 5. I named the image "Hexa-Something" because, despite >the numerical confusion, there is something 6-ish about it. > >The render time of 2-3/4 minutes is true on the 10-year-old >computer with the balky fan, which I have dedicated to fractals. >On a more modern unit, the image will render in less than a >minute. But regardless of the speed of your computer, if you >can get onto the internet, you can download the completed image >from the FOTD web site at: > > <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > >With a high temperature of 77F 25C and full sun, Tuesday turned >out to be one of the all time best days for the fractal cat duo. >They went out before noon and stayed out until after 8pm. As >far as I know, nothing disturbed their peaceful day in the holly >thicket. Today is starting with a few more clouds and a bit >cooler. After yesterday, the cats can't complain. > >For me it's work before play. The next FOTD fractal will appear >in 24 hours. Until then, take care, and do we place too little >or too much faith in the scientific method? > > >Jim Muth >jamth(a)mindspring.com >jimmuth(a)aol.com > > >START PARAMETER FILE======================================= > >Hexa-Something { ; time=0:02:45.16--SF5 on a P200 > reset=2004 type=formula formulafile=allinone.frm > formulaname=MandelbrotMix4 function=ident passes=1 > center-mag=-0.73359310668167350/+0.000008397796090\ > 92/1462787/1/-72.5/4.36410307197432346e-009 > params=1/3/-0.2/5/-0.15/0 float=y maxiter=5000 > inside=0 logmap=29 periodicity=10 > colors=000URzSUzPXzM_zJbzHezKgzMizOkzQmzTozVqzXszZ\ > uzThzNXzHLcC95z5Jn7Mc9PWARSCUNDWJFZFG`dP3cCh`QWYcJ\ > Wp7StBOzFKzzGzzDpRHhQKaPNVOQNNTGMW9M`BKdCIiDGmFFrG\ > DvHBzIAvKFrMJnONjQRfSVbUZZVbDVxk5fTXTAcFFfMJVTOG_S\ > 2fT9_UGUVNNWUHX`AYf4`d6ba8e_BgYDjVFmTIoQKrOMtMOpLR\ > mLUjLXgK_dKaaKdZKgWJjTJmQJoNIrKIuHIxEIzGLyINxJQxLS\ > wMVwOXvP_vRauTdtUftWisXksZnr_prasqbuqatm`tj_tgZsdY\ > saXsZWrWVrTUrPTqMSqJRqGQpDPpAOp7Np4LoFJnQIm`KlkMku\ > OhrQioSkmUmjWohYqe_scau`cvZewWgxUiySkzQlzOmzMnzKoz\ > IpzGqzErzCszBtzBuzAvzAwz9xz9yz8zz8zz8zz7zz7zz6zz6z\ > z5zz5zz5zzCzzJzzQzzXzzczzjzzhzzgzzfzzdzzczzbzz`zz_\ > zzZzzXzzWzzVzzTzzSzzRzzQzzPzzPzzOzzOzzOzzjzzgzzczz\ > _zzXzzUzzRzzOzzLzzJzzBzz4zzBzzIzzPzzWzzbzzizzpzzmz\ > zkzzhzzfzzYzz`zzczzfzzizzlzznzzmzzmzzlzzlzzmzznzzo\ > zzpzzqzzqzzrzzrzzszzszztzztzzuzzuzzuzzrzzozzlzzizz\ > gzzdzzazzZzzWzzUzzYzzCzzE } > >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: 267.6.7 - Release Date: 6/10/05

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A short FOTD break
by Jim Muth 11 Jun '05

11 Jun '05

Fractal fans: There will be no FOTD until Tuesday June 14. The real work at Fractal Central is totally caught up, the fractal cats are well cared for, and I am using the opportunity to take a well-earned (IMO) three-day vacation to some place not yet fully determined. Until Tuesday, take care, and where do fractals go? Jim M.

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Interesting features near Jim Muth's FoTD for June 7, 2005 - Double Trouble
by Hal Lane 11 Jun '05

11 Jun '05

######################################################## Jim Muth's statement in the text for his Fractal of The Day for June 7, 2005: "The area is filled with features never before seen (at least by me) in the M-set." inspired me to look for additional interesting features near his FoTD. I found an interesting area and include its parameter file below. I call it 'Double Trouble' for obvious reasons. At 3 minutes and 20 seconds on a P400 for a 1024x768 image its relatively quick to create. The last line of the 'text encoded' color map in the parameter file below really gave me a start when I first looked at it. It looks like a 'quoted' (>) email message fragment (something like 'new lemur') ending with the abbreviation for 'In my opinion' (Imo): >PnuLmrImo - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START PARAMETER FILE======================================= Double_Trouble { ; Hal Lane Jun 11 '05 3:20 P400 1024x768 ; Zoom near Jim Muth's FoTD Jun 7, '05 ; I also rotated Jim's color map. reset=2004 type=formula formulafile=pastengo.par formulaname=mandelbrotve-vp passes=1 center-mag=-1.99994352072025700/+0.00000000000972631\ /1.609016e+009/1/-92.4999886542729826/4.617015643545\ 30247e-005 params=2.0000000003/0/0/0/0/0/2.01/0 float=y maxiter=600 inside=0 periodicity=10 sound=off colors=000Fll<3>3j`0jZ7eWE`TLXQ<3>bQegPikNmoMq<2>xI`\ <3>gElbDoZCrVBuRAw<3>Q7wgSuyls<3>PutGwtKvl<3>_rIbrBV\ gEAPzAKzAAz<10>AAo<3>AAkAAiAAg<4>AAYAAWAAU<3>AAM97K7\ 3I<3>c77k75lE4<3>pb3qh3rk8<3>utR<3>NRCEK86D5<3>L9UP8\ `S7fW6lZ5r<3>PGtMJtKMtIOt<3>R7`T3WcJPmZJwmDukIsiN`PK\ I4I<3>GW8Fb5Fi3un6<3>rISqAYq2b<2>f2p<3>oLaqPZjSWcUTY\ WR<3>AEuTGYkHA<3>hFQgEUgEY<3>rGXtHXwHXyHXjRSX`N<3>aN\ DbJBcG9<2>LryOUk<3>vO9<3>cxRrOc<3>POnIOpGUr<2>Ahw`cg\ <3>H8RcZMyxI<3>EUJ2NJ6SG<2>GeAJi8OhE<3>ddaicgmbmqas<\ 3>rkmrmlrok<3>tlwtlytku<3>thgnaaAI31C0<3>I9IM8NQ8R<2\ >PnuLmrImo } frm:MandelbrotVE-VP {; Jim Muth real(c),imag(c) a=p1, z=p2, c=pixel+p3, b=sqr(real(p4)): z=z^(a)+c, |z| < b } END PARAMETER FILE========================================= ########################################################### -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.323 / Virus Database: 267.6.7 - Release Date: 6/10/05

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