August 2007 - Fractint - mailman.xmission.com

[RE][Fractint] Re: New Formulas
by Russell Walsmith 28 Aug '07

28 Aug '07

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[RE][Fractint] Re: New Formulas
by Russell Walsmith 28 Aug '07

28 Aug '07

1 0

[RE][Fractint] Re: New Formulas
by Russell Walsmith 28 Aug '07

28 Aug '07

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FOTD 28-08-07 (Celebration Rites [7])
by Jim Muth 27 Aug '07

27 Aug '07

FOTD -- August 28, 2007 (Rating 7) Fractal visionaries and enthusiasts: With today's image we leave the Mandelbrot set and examine the fractal that results when 5 negative parts of Z^(-1.5) are combined with 1 negative part of Z^(-5), and (1/C) is added. This parent fractal is a vertically stacked series of bays, with the typical 'fan' extending east along the X-axis. The scene of today's image is in a blunt valley on the southwest edge of the stack of bays. With its gaudy colors and feeling of pop-art, the image reminds me of a festive celebration, so I named it "Celebration Rites". The usual minibrot appears to be missing, but actually the image is filled with minibrots. They are simply too small to be seen. One of these will appear in 24 hours however, at the center of the FOTD for August 29. All things considered, I rated the image at a 7. The calculation time of just over 1 minute is no obstacle to the rapid enjoyment of today's image. And downloading the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> is even more enjoyable. Perfect weather, perfect cats, and little work on Monday -- what more could a dedicated fractalist ask for? . . . . . . Well, he might ask for a better image, but no fractal can possibly achieve perfection. Be that as it may, the next try at perfection will come in 24 hours, when the next FOTD appears. Until then, take care, and stay filled with wonder, even as you wonder about which wonder to wonder about. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Celebration_Rites { ; time=0:01:14.12-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=+0.1144117535417508/-1.646747111980673/\ 2489156/1/87.5/4.68434676464957178e-009 params=-5/-1.5/-1/-5/0/0/0/0 float=y maxiter=1600 inside=0 periodicity=10 colors=000z0emYez0drUdz0dzQdz0dzUgz0kzYmzCqzauzRvv\ gzsezolzkuzimzgzzelzexzdjzbvzbhz`szZgzZqzXfzVmzVez\ TkzRexRgxPevPevNesNdqLdoLbmLbkJ`gJ`eJZdHZbHX`EXbHX\ ZJWXLXVNYRPZPR_NTZJVZHX`GZ`C``Ab`8db4eb2gb0ib0kd0m\ d0od0qd0sd0ve0xe0zg0zg0zi0zi0zk0zk0zm0zm0zo0zo0zL8\ zREzXJz`NxeTvkZsobougkxkizqezvbzzZzzXzzbzzgzzkzzqz\ zuzzzzzzzzzzzzzzzzzzzzzzzzxzzuzzqzzozzkzzgzzezzbzx\ ZzvXzsTzoPzeTzmNzuHzzCzz6zz2zz4zz6zz8vzAuzCqzCozEk\ zGizHgzJdzLbzLZzNXzPTzRRxTPxVLvVJvXGuZEu`Asb8dP0sb\ 6zmCzxHzqLziNzbRzVTzNVzGZz8`z2bz4`z4Zx6Zs6Xm6Xg8Vb\ 8VVATPATJARECR8CP2EP0EN0HL0EN0AN08N04N02N00dE0uR0z\ V0zX0zZ0z`0zb0zd0ze0zg0zi0zk0zm0zo0zq0zs0zu0zx0zv0\ zu0zs0zq0vo0om0ik0di0Zg0Re0Ld0Gb0A`02Z00X00X00V00T\ 00R00R00P00N00L00L02J04H08G0AG0CE0GC0HA0JA0N80P60R\ 60TA0TC0TE0TG0TH0TJ0TL0TN0TR0TVWTV0TXYTZ0T`ZTb0Td_\ TX2Nf`HLECga68P0hb00T0k`0 } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 27-08-07 (North Shore Action [8])
by Jim Muth 26 Aug '07

26 Aug '07

FOTD -- August 27, 2007 (Rating 8) Fractal visionaries and enthusiasts: Today's image takes us on another visit to the Mandelbrot set. The trip may at first appear dull, but with more time to search, I have found a better scene. I found it rather deep in the 'star' of a small period-22 bud on the northeast shore of the main bay, very near the large period-3 north bud. The image shows a midget with a surprising number of tendrils spiralling from it. I named the image "North Shore Action" because there certainly is action in the image. Then I rated it at an 8. I put enough effort into the coloring to justify the rating. Perhaps the most striking thing about the image is its magnitude of over 6*(10^13), a magnitude usually beyond the range of the fast conventional math routine. But for some reason, today's image holds up even without invoking the much slower but much more accurate arbitrary precision math routine. I have included the 'mathtolerance=0.05/1' entry in the parameter file to assure that the image finishes in seconds rather than hours. I have been concentrating my fractal activities so frequently on the Mandelbrot set recently because of the incredible speed at which the P4-2000mhz unit calculates the type=mandel fractals. The type=julia is just as fast, though I use it far less often. Other fractal types may be as fast also, but if so, I have not yet found them. As an example of lightning speed, today's image finishes in a little over 6 seconds on the P4-2000 machine. On the old P200 it takes 2 minutes -- almost 20 times as long. Today's image is also a good example of the use of negative logmap values. The setting of negative 1556 spreads the color bands more evenly over the entire range of iteration values. A setting of positive 1556 concentrates the colors too narrowly in the bands with the lowest iteration value, and spreads them too broadly in the higher value bands. To see today's image, run the included parameter file or visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the finished image there. Even with mostly cloudy skies, Sunday was a far more pleasant day here at Fractal Central. A temperature of 79F 26C is far easier to live with than one of 97F 36C. The fractal cats must have agreed, for they spent most of the day watching the ongoing TV show beyond the windows. A window is a cat's television. I spent my day recovering from the day before. The next FOTD image will be posted in 24 hours. Until then, take care, and fractals are like sub-atomic particles. They don't become real until they are observed. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= North_Shore_Action { ; time=0:00:06.14-SF5 on P4-2000 reset=2004 type=mandel passes=1 logmap=-1556 center-mag=-0.04410362337750159/+0.652478579761549\ 50/6.29347e+013/1/-25/0 params=0/0 float=y inside=0 maxiter=8500 periodicity=10 mathtolerance=0.05/1 colors=000TKUUKUVKUWKUXKUYKUZKU_KU`KUaKUbKUcKUdKUe\ KVfKWgHYhG_iF`hEZgEXfEWfEUeETdERdEQcEObDMbDLaDJ`DI\ `DG_DFZDDZDCaCGcBKeAOg9Sj8Wl8_n7cp6gs5ku4ow3sy3wu4\ vq5vm5vi6ue6ua7uY7tV8tR9tN9sJAsFAsBBm7Bh3Cc0CZ8NUG\ P0ER3CV6BY89aB8gDCkEGoFJsGNtGRtHUtIYtJatJdtKhuLlvM\ zwMzxNzyOzzOzvQzsSzpTzmVrjXogYge_abaWWaPPaTNUXLUYJ\ UdMgeOgbSgZVfWYeS_cP`bLbaId`EeZBgY7iX4jW8lUBmSFnQI\ oOLpMPqKSrIWsGZtEauCevAhw8lx6oy4rz2qv5qr7qnAqjCpfE\ pbHpZJpVLpROoNQoJSoFVoBXo7Zp8Xp8Wq9Vq9Ur9TrASsARsB\ PtBOtBNuCMuCLvDKvDJvDIwAOx8Ty6Zy4cw8duBesEfrIgpLhn\ OilSjkVkiYlgamedndhobmp`rq_vrbzsezthzukzvmzwizsfzp\ czm_zjXzgUzcRz`NzYKzVHzSEzOAzL7zI4zF1zC4zB7zBAzBCz\ BFzBIzBKzBNzdozxpzvqztrzrrzpszotzmtzkuzivzhvzfwzdx\ zbxzahz_UzYFzWCzY9zZ6z`3za7z_AzZDzYHzXKzWNzURzTUzS\ XzR`zQczOfzNjzMmzLpzKszJfzTVzaZz`bz_ezZizZmzYpzXtz\ WwzWwzWwzWwzWazIIzIozIjzG } END PARAMETER FILE=========================================

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FOTD 26-08-07 (Seahorse Rhapsody [6])
by Jim Muth 26 Aug '07

26 Aug '07

FOTD -- August 26, 2007 (Rating 5) Fractal visionaries and enthusiasts: When one needs an acceptable fractal in a hurry, what better place to search than Seahorse Valley of the Mandelbrot set. And I didn't have to search long to find today's scene, which lies at only a moderate depth on the west side of the valley. A fractal that comes almost automatically, as today's did, can hardly be rated above average, so I gave it a rating of an average 5. I named the image "Seahorse Rhapsody" when the bluish cast of an earlier version reminded me of the 'Rhapsody in Blue'. I have since toned down the blueness, but the name remains. Perhaps the best feature of today's fractal is its very brief calculation time, which is only 24 seconds on the P4-2000. The image would finish in about 3 minutes even on the tired old P200. But why bother at all with calculating parameter files when the image is posted, already rendered, on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a high temperature of 97F 36C, Saturday was the hottest day in several weeks here at Fractal Central. The fractal cats, whose ancestors lived in northern Africa, where it is even hotter, didn't mind the heat, but they would have liked a few more crickets to play with. My day was kept busy with a trip to State College, but it was still enjoyable. The next FOTD is due in 24 hours. Until then, take care, and I wonder what wonders are yet to be found in Fractaland, wherever it is located. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seahorse_Rhapsody { ; time=0:00:23.58-SF5 on P4-2000 reset=2004 type=mandel inside=0 center-mag=-0.75031876327625280/+0.014101150134497\ 41/4.194136e+007/1/166.5/1.26107747491430167e-005 params=0/0 float=y maxiter=27500 periodicity=10 colors=600df5ge5jc5ma5p_5sY5vW5yU5zS5zQ5zO5zM5zK5z\ I5zG5zE5xC5tA5n85j65c55_SRZSSYSTXSUWSVVSSUSRTSQSRO\ SQKUPGWOBYN6_N5aN5cN5eN5_N5WN5SN5YN5aN5eN5aN5_N5YN\ 5WN5UN5SN5QN5MN5KN5JO9IPFIQMIRSIRZIS`IS`IS`IS`IS`I\ SbISbISbISbISbISeISeIQeIMeIIeIGeIv5Iv5Iv5Is5Ii5Ib5\ IUFIOQIGbI9nIBgID`IDWIGQIIJKIFQK9YM5eM5nO5tQ5zQ5zT\ 5zT5eO5IKMIIlI9WI5II5BI5GI5LI5QI5VM5_Q5dUCiWEnWIpW\ KqWHqSDqK6nI5jI5fI5bI5ZI5VI5RI5NI5JI5FI7BIB7ID5IG5\ II5JM5MO5ST5WU5aX5e`5lb5pe5wi5zk5zn7zpDzsIztMzpOzk\ OzfOzaOzXQwSQuNQpIQpDSp8Sp5Sp5Sn5Un5Un5Un5Un5Ul5Wl\ 7Wl7Wl9Wl9ZlBZjBZjDZjD`jD`jG`gH`gIbgJbgLbgMbgMeeMe\ eMeeOeeOgeQgcQgcTgcTgcUjcUjcXjaXjaXlaZlaZla`l_`n_b\ n_bn_en_eo_goYgoYgoYioYipYkoWkqWnoWnqWoqWqoWqqUsoU\ soUtoUuoSvoSvoSvoSvoQvoQvoQvoQvoOvoOvoOvoOvoMvoMvo\ MvoMvoMvoOvoOvoOvoOvoOvoOvoQvoQuoQtoQsoQroQqnQpnSo\ lSnlSmjSljSkgSjgWieZh5ag5 } END PARAMETER FILE=========================================

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FOTD 25-08-07 (Happy the Tenth [6])
by Jim Muth 25 Aug '07

25 Aug '07

FOTD -- August 25, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's image is titled "Happy the Tenth". I gave it this name because the scene is located in the tenth valley on the negative X-axis of the Mandelbrot set. The first valley is the well- known Seahorse Valley; the second valley is the not-quite-as- well-known Scepter Valley. I don't think the valleys beyond this point have been named, but the scene of today's image is in the very remote tenth valley. But I could rate the image no higher than a 6, because in valleys of such a high-order, a certain boring sameness starts to creep in. The image is striking enough, mostly because of its intense colors, but when studying it, I get the urge to say, 'they all look the same out here'. The calculation time of 5-1/2 minutes on the P4-2000mhz would be about 1/2 hour on the P200mhz, a bit slow but not beyond reason. And the most reasonable way of all to see the image is found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted for instant enjoyment. The heat, haze and humidity returned to Fractal Central with a vengeance on Friday, when the temperature reached a high of 88F 31C under a broiling sun. The fractal cats didn't worry about the broiling sun, but they did find a cricket, which they toyed with for a few minutes before they finished it. My day was average; tomorrow promises to be the same. The next FOTD is due in 24 hours, but if F.L. and I decide to go out, it might be late. Until next time, take care, and do fractals obey the laws of relativity, or the quantum, or both, or neither? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Happy_the_Tenth { ; time=0:05:30.17-SF5 on P4-2000 reset=2004 type=mandel passes=1 inside=0 center-mag=-1.40115451785449/+0.00000013373512227/\ 8.592431e+010/1/-122.525225924817548/0.00050268\ 3258957907497 params=0/0 float=y maxiter=250000 logmap=-28375 periodicity=10 mathtolerance=0.05/1 colors=000E0AG0CG0CI0EJ0EJ0EL0EN0EN0EP2ER4ER6ES8EU\ AEUCEVEGXGGXIGZJG`LG`MGbNGcOGcPGeQGgRGgSGcTGbUG`UG\ XUGVUGUUGSUGPSGNRGLPGINGGLGEJGCIG8GGEEGJCGPAGUEGZI\ GcJGjJGpJIvJIzJ6zJEzNNzSUzVbz`hzcrzhzznzznzzpzznzz\ kzzgzz`xzVnzRez0`z0Xs0Uk0Sc2PX6NSAJNEGIIECLA8R8GXI\ LcRShZXmgUrcSvbRz``zZmzXxzVzzUzzSzzRzzPvzLnzJgzIXz\ GPzEGzC4zA0x80v60u40r60p80n80kA0jA2hC6gEAcEEbGI`GL\ ZIPVJSUJVSLZPLbNNeLPhJPkGRnERrCSuASpCUkEUhGVcGVZIV\ VJXRJXNLXINZCNZ8P`2R`0R`0Sb0Ub0Ub0Ub0Vb4VbAXbGXcLX\ cRZcVZc`Zce`cj`en`esbexbezcezcgzcgzegzegzegzghzghz\ ghzhhzhhzhjzjjzjjzkjzkjzkkzmkzmkzmkznkznkznmzpmzpm\ zrmzrmzrmzrnzsnzsnzsnzunzupzupzvpzvpzxpzxrzxrzzrzz\ rzzrzzszzszzszzszzszzSzzUzzUzzUzzVzzVzzVzzVzzXzzXx\ zXxzXvzZuzZuzZszZrz`pz`pz`nz`mzbmzbkzbjzcjzchzcgzc\ ezeezeczebzebzg`zgZzgXzgXzhVzhUzhUzhSzjRzjPzjPzjNz\ kLzkLzkJzm6z08z28z4Az6Cz8 } END PARAMETER FILE=========================================

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FOTD 24-08-07 (Helixes All Around [9])
by Jim Muth 23 Aug '07

23 Aug '07

FOTD -- August 24, 2007 (Rating 9) Fractal visionaries and enthusiasts: Today's image rates a 9, and most of this rating is based on its coloring. Without the bit of extra effort I put into the color palette, the fractal would be just another picture of a Minibrot rather deep on the sinuous filament of the period-11 sub-bud on the northeast shoreline of the large period-2 bud centered at -1 in the Mandelbrot set, where the Seahorse Valley characteris- tics are just starting to appear. I named the image "Helixes All Around" when I had the impression that the sixteen wavy lines radiating from the bluish pattern around the Midget are actually three-dimensional helixes. The calculation time of 4-3/4 minutes is surprisingly fast for an arbitrary precision image with a magnitude of over 10^20. But even this short wait may be bypassed by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the already-rendered image there. Thursday brought continuing clouds to Fractal Central, but we enjoyed a short interval of sun in the afternoon, which let the temperature rise to a pleasant 79F 26C. The fractal cats spent several hours watching the scene from their window, but I think they were more concerned with the pigeons cooing on the porch roof than with the weather. My day was pleasantly slow; hope- fully tomorrow will be the same. The next FOTD will most likely appear in 24 hours. Until then, take care, and make your peace with a renegade fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Helixes_All_Around { ; time=0:04:43.69-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.7797023197491\ 136919845708/0.1503396430159217625308027/\ 1.240172e+020/1/-140/0.00387885 params=0/0 float=y maxiter=1400 inside=0 logmap=290 periodicity=10 colors=000VT8XU7ZV6`W6bX5dY4fZ3h_2k`1na0qbGtcDwdAz\ eFzhKzjPznSzpUzrWzuYzw_zzazzczze9eq7co6am4_k3Yi1Vg\ 5Se4Pc4N`3LX3JU3HR2FN2CK1AG18D16A046023023000000Oj\ qHhoAfm8dj7bg7_d6Ya6VZ5TV5QS4OP3MM3JJ2HF2FC1E91260\ 13GDGzcEzcDzcCvcBrcAmZ9hU8cP7ZK6UF5PA4K53F12A01500\ _pzWizSezP`yLVrIQmELhAFc7AZ35UzLZzJWqIUgGRaFPYDMUC\ KRAHN9FJ7CF6AB47735312NE`KCXIBTG9PD8MB7I95E64B4272\ 13Q_DJR9DI6693y32u21q21m21i21e21a11Y11V11R10N10J00\ F00B00700300UzdMjUFVK7FAINFGKDEICDGABE99C88A668546\ 4342121812701601501401300200100EM07B0lX3Zcz`dybeyd\ fyegyg0xi0xj0xlkxn0wo0wqPwsUwtZwscrrhmqmhqhcphZohU\ miPhjKckFZlAUm5Pm8KmBFmDAmG5mI0mJ0nJ0oJ0pKUqKirKzr\ LzsLzsLztHztEzuAzu7zv8zv8zw8zw8zx8zxAzyAzyAzzAzzAz\ zAzzAzzAzzAzzAzzAzzFzzKzzPzzUzzZzzczzhzzmzzrzzvzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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FOTD 23-08-07 (Main Stem Fantasy [7])
by Jim Muth 23 Aug '07

23 Aug '07

FOTD -- August 23, 2007 (Rating 7) Fractal visionaries and enthusiasts: All the filaments extending from buds of the Mandelbrot set lead to fractal stars. The number of arms in these stars, including the arm leading back to the bud, is equal to the periodicity of the bud. Thus, the large period-3 bud on the north shore of the main bay has a filament that leads to a star with 3 arms. But what of the straight filament extending along the negative X-axis from the most prominent bud of all, the period-2 bud centered at -1? There is indeed a 'star' on this filament. It is centered some- where around -1.54, though I forget the exact location. But it is not seen as a star because it has only 2 arms, and appears as a straight line. Today's image, which has a magnitude of over 10^52, is located in the East Valley area of a much larger but still very tiny midget on the main stem near the center of this invisible abstract star. I named the image "Main Stem Fantasy" and rated it at a 7. I know it's just another deep scene on the spike, but since I kind of like its colors, the rating of a 7 seems about right. Despite the extreme magnitude, the calculation time on the P4-2000mhz computer is a reasonable 15 minutes. On the P200mhz machine it would take about 1-1/2 hours to finish, so to save time, I sent the image on ahead to Paul at the FOTD web site, where it is posted for instant viewing. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The rain ended but the clouds hung tough here at Fractal Central on Wednesday. The high temperature of 70F 16C was close to per- fect however. The fractal cats must have enjoyed the weather, for they were on their best behavior all day. The real work was heavier than I would have liked, but still well within reason. The next FOTD will appear in 24 hours. Until then, take care, and watch for a miracle. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Main_Stem_Fantasy { ; time=0:15:02.86-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.543689012692172695279198313919702019\ 29621015880257135701/0/1.479071e+052 params=0/0 float=y maxiter=3600 bailout=4 inside=0 symmetry=xaxis periodicity=10 colors=000JOEJVBKb7Ki4Jt2Kp1Ll1Mh1Nd1N`0OX0PT0QP0Q\ M0UJ4XG8`ECcBFg8Jj6Nn3Rq1Ut5ev8pqCnlFlgIjbMhYPfTSd\ OVbJZ`Eac9ch5Zm0Uq0Pk0KefR`cZVafP_nKYoJWqHVrGUrGUs\ EUtCzuBzv9zw7zxmzymzymmv7ctA_qDaoGblJcjMegPfeTgbWi\ `ZjYakWdmTgnRjnMpoPmpRkpTiqWgrYer_csbatd_tfYuiWvkU\ vmSwpQxrOxtMusKsrJqqIopHmoGknFimEglDekCcjBaiA_h9Yg\ 8Wf7Ue6Sd5Pa6N_7KX8IV9FT9DQAAOB8LC5JD3HDeRKeRJeSIe\ SHeTGeTGeUFeUFeUEfUDfUDfUCgUCgUBgUAhUAhU9hU9eWEbYK\ `ZOY`PXbQWdRVfSUhTTjUSlVSnWToXUpYWnXYlWZkV`iUbgTce\ SecRgaQkZMh`PeaRbbT_dWXeYUf_RgaOidLjfIkhFljCnm9oo6\ pq3qs9rrErqJspPsoUtnZtmduliuknvjsvjmndhg_c`UZUPTNJ\ OGEJ98E23I44L64O84SA4VC5YE5aG5dI5hI4gK5gL5gN6gO6fQ\ 7fR7fT8fU8eW9eX9eZAib8e_AbXBZVDWSETQFPNHMKIIIKFFL4\ EICDMEBLJDPNFTSHXWI`_JddKhhLlpJplKohLndMmaNmYOlUPk\ QRjPRhNTjLVkJXlHZmF_nDaoCcpAeqAgrAisAktAmuAovAqwDr\ xKryRuzYwzdxzkyzrzzzzzzzz } END PARAMETER FILE=========================================

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Re: FOTD 21-08-07 (East Valley Scene [6])
by Jim Muth 22 Aug '07

22 Aug '07

At 11:49 AM 8/22/07 -0500, you wrote: >On Mon, 2007-08-20 at 19:38 -0400, Jim Muth wrote: > >> Most of the effect is caused by the closeness of the escape >> radius. To see a totally different image go to the 'Z' screen >> and change the bailout to 25. It's too bad that the type=mandel >> formula permits only integer bailout values to be entered. It >> would be interesting to see what happens when the bailout >> actually reaches the scene. > >This can be done with the formula parser. Yes, but the images take about 20 times as long to calculate.

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