October 2007 - Fractint - mailman.xmission.com

FOTD 05-10-07 (A Fractal Quickie [7])
by Jim Muth 05 Oct '07

05 Oct '07

FOTD -- October 05, 2007 (Rating 7) Fractal visionaries and enthusiasts: I named today's image "A Fractal Quickie" for the obvious reason that it is extremely fast, finishing as it does in a little over an unbelievable 12 seconds. And even on the slow old P200 unit it finishes in under one minute. The rating of a 7 might be a bit liberal, but I really do like the brilliant emerald greens in the elements surrounding the central minibrot. Today's image is actually another venture into the same parent fractal that gave us yesterday's outstanding image. But instead of exploring the small minibrot at the eastern edge of the large outer circle, we examine one of the finely scalloped lines well within the interior of the northern part of the circle. I had almost decided the area is non-critical and given up on it when I spotted the tell-tale bit of perfect symmetry that says a minibrot lurks within. A quick series of in-zooms revealed the scene of today's image. The magnitude is not really great enough to require the mathtolerance entry, but the whole fractal gets quirky without it, so I included it just to be safe. The emerald-green scene may be viewed by running the included parameter file and waiting a few seconds, or by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it already is or shortly will be posted. With a high temperature of 86F 30C and a hot sun, Thursday was most un-October like here at Fractal Central. The fractal cats, Nicholas and Cassie, spent the day stretched under the air conditioner, which I thought had been shut down for the season. In my department, the moderate amount of work was wrapped up for the day without incident. The next in the apparently endless series of FOTD images will be posted in 24 hours. Until then, take care, and the FOTD will come to its end when we run out of fractals -- whenever that may be. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Fractal_Quickie { ; time=0:00:12.08-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=+0.4715639002972046/+2.121705306530676/\ 1.748152e+010/1/176/0.0190632524763709107 inside=0 params=1.1/2/1e-030/-99/0/0/0/0 float=y maxiter=325 logmap=43 periodicity=10 mathtolerance=0.05/1 colors=00064A89AADACIAEMAFRAHVAJ_9Lc8Mf6Oi5Qk4So3j\ s2wvPzzzzwzztzzpzzlzzhzvdzq`zmZzh`vhYrcZmKFhIIcHIZ\ GJUFHSQDW_AZj6at3duAeuGfvNgvTgvZhwciwijwnjsnkonkkn\ kgnlcnl_nlWnlSnmOnmKnmGnnCnn8nn5nnBooGooLppQppVqp_\ qqdrqirrnsrssrr5RX8xaKffWQjg9haBgXCeSDdMFbHGaCH_DJ\ YELXENVFPUGRSGTRHVPIXOIZMJ`LJaOUSQdJToAVz1Xz7YzD_z\ I`zObzTczZezdfzihzoizthzphzmgzjgzffzcfz`ezXezUezRg\ zQhzPjzOkzOlzNnzMozLqzLrzKszJuzIvzIxzHyzGzzGtzLozQ\ jzVez_`zdWziRznMzsHzwTzrdzmozinzenzbnzZnzWnzT_zKMz\ BLzAKz9Iz9kzFkzOkzXlzflzolzxczrWzlOzgGza8zXGzTOzPW\ zMczIkzErzBqzDqzEqzFpzHpzIpzJpzKyzJszNnzQizTczXZz_\ UzbRzaOz`Lz_Jz_GzZDzYAzX8zX7zX7zX9zWCzVFzUIzTLzSOz\ RRzQUzPXzO_zNbzIezDhz9kz4nz0qz1tz2wz2zz3zz3zz4zz4z\ z5zz6zz6zz7zz7zz8zz8zz9zz9zzAzzBzzCzzDzzDzzEzzFzzG\ zzGzzHzzIzzJzzJzzMzzPzzRzzUzzXzzZTzj_zdYzfVziTzkQz\ gNzcLz_IzWGzSLzQPzOLzGDzH } 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 04-10-07 (A Hairy Adventure [8])
by Jim Muth 04 Oct '07

04 Oct '07

FOTD -- October 04, 2007 (Rating 8) Fractal visionaries and enthusiasts: Today's image lies in a very unlikely parent fractal -- the one that results when an infinitesimal 0.000000000000000000000000000001 part of Z^(-99) is combined with 1.1 parts of Z^2 and (1/C) is added. This parent consists of a single giant circle filled with detail of the most unusual kind. A small Mandelbrot set lies on the X-axis at the eastern edge of this circle. Today's scene is located in the East Valley area of this M-set. This parent fractal has the strange property of not appearing unless the mathtolerance=0.05/1 command is entered first. If the parameters are entered without this command, the result is a blank screen. I named the image "A Hairy Adventure". It seems a rather pleasant name. The rating of an 8 indicates that the 2-1/2 minutes spent running the included parameter file will be rewarded by a very attractive image. The small effort of going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there, will also prove rewarding. A near perfect day prevailed weatherwise here at Fractal Central on Wednesday. Unfortunately, the workday was not so perfect. But the work did get finished, and the fractal was good, so I would rate the day a mild success. The fractal cats overturned three wastebaskets in agreement. The next FOTD will appear in 24 hours. Until then, take care, and don't be haunted by a fractal ghost. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Hairy_Adventure { ; time=0:02:34.34-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=+4.555093507304436/+0.0002371242405838/\ 3.660635e+011/1/-177.5/0 params=1.1/2/1e-030/-99/\ 0/0/0/0 float=y maxiter=2500 inside=0 logmap=310 periodicity=10 mathtolerance=0.05/1 colors=000TNj_TdYTfVSiTSkQZgNdcLk_IqWGwSLuQPtOTsNX\ rL`qKepIioGmnFqmDulCcaJMRP5GV6HX6HY6H_6I`7Ib7Ic7Je\ 7Jf8Jh8Ki8Kk8Kl9Ln9Lo9Lq9Lr7Wf5eV3oKFgUR_baTkiQppN\ twKxrLvnLtiMrbMpWKnOLlLLjKLlF8rE9oEBkDCgCEbCFYBHUB\ ISFKQINOLRNOVLRZJUaI`eGfiEjlBnp8qt6tw3wz1tv3qq5pn7\ oi9n`BmWDkTCiQCgNBeKBcIBMbeLdgKfhKgiJijIjkIlmHmnGo\ oGppFrqFsrIniLi`OdSR_JUVAXQ1ZR2_S2`T3aU3cV4dW4eX5f\ X5hY6_KQdLThMVmOXqPZuQ`qPYmOViNTeMQbLOZKLVJIRIGNHD\ KGBHGJFGRCGZAGf8GmKS`VbPfnDqy1mx5jw8gvBduE`uHYtKVs\ NSrQOrTLqWIpZFoaCodBnfBmgBlhBliBkjAjlAhmAgnAeoAcp9\ ar9`s9Zt9Xu9XvEWuIVtMUtQTsUSsYRrbRqfoqmmmrrrwwwzzz\ zzztttmmmoplmplkokjnkhmjfmjelickiajh`jhEmWDoXCnXCl\ XBkXAjXAhX9gX8fX8dX7cX7bX9dWCfVFhUIiTLkSOmRRmQUmPX\ mO_mNbnIemDhm9km4nm0qm1tm2wm2zm3zm3zm4zm4zm5zm6zm6\ zm7zm7zm8zm8zm9zm9zmAzmBzmCzmDzmDzmEzmFzmGzmGzmHzm\ IzmJzmJzmMzmPzmRzmUzmXzmZ } 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 03-10-07 (Fireworks Pinwheel [No Rating])
by Jim Muth 03 Oct '07

03 Oct '07

FOTD -- October 03, 2007 (No Rating) Fractal visionaries and enthusiasts: I could not rate today's image because I consider it a virtual failure. I calculated it with great expectations only to see my hopes vanish when the time came to work on the colors. Regard- less of what arrangement of colors I tried, the image just did not look good. And the other 'outside' coloring options worked no better. I'm not sure what went wrong, but I suspect that the basic fractal forms are simply too chaotic to create the well-defined 'objects' that I prefer in my images. And the tiny bits and pieces scattered throughout the scene add nothing at all to the appearance. Something about the image reminds me of a fireworks pinwheel, so that's what I named it. The parent fractal is the same one that produced yesterday's notably superior image, though in today's image I investigated a different valley of the clover-leaf shaped hole. The calculation time of 4-1/2 minutes is not too bad. Even better is the instant viewing available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Partly cloudy skies and a temperature of 75F 24C made Tuesday rather pleasant here at Fractal Central. The fractal cats took enough of a break from their rowdy behavior to notice the sunny intervals. Then they returned to their mischief. We had to crack down when Nicholas overturned a waste basket and scattered the contents around the room. My day was unexpectedly busy, and I suspect the fractal suffered beacuse of it. But tomorrow will likely be slower, resulting in a better fractal. Check back in 24 hours to see if I keep my word. Until then, take care, and in fractals we see the abstrac- tions known as numbers creating 'real' images. In physics we see the abstractions known as atoms creating 'real' material. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fireworks_Pinwheel { ; time=0:04:32.29-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-1.524292990172/-0.00001027990583/1.116\ 77e+009/1/117.5/0 params=1/2/2/0.75/0/0/0/0 float=y maxiter=2750 inside=0 logmap=463 periodicity=10 colors=2224223222222222222222222222222222222222322\ 422522722722822A22B22D22E22G22G22P2AX2Me5ZoDkwKxxT\ xx_xxZoqZeeXWUXMJWDAWHDTKGRNJNTMMWNKZRHcWGf_EjcBmh\ Aro8vt5xx4xy3xz2xz2xz2xy2xx5xu8xrDxoGxjKweNtaNqWNj\ TNePN_MNUJNPGNKENHBNG8NG5NH4NJ8NJBNJGNHJNGNGER8DU2\ GZ2Ja5MeAPhDTkHWoMZrPavUexZfxaexWexRcxKcxGaxAax5_x\ 2_x2Zx2Zx2ax2cx2fx2hx2jx2mx2ox2rx2tx2vx2xx2xx2xx2x\ x2xv2xr2zmAxeNxY_xQZxIXxAWx8UxATxBRxDPxENxGMxHKxJJ\ xKHxMGxMGxNEwPDvRBtTAtUArW8qX7oZ5m_4ma3kc2je2hf2fh\ 2fj2ek2cm2ao2ve2tf2tf2rf2rf2qh2qh2qh2oh2kh2cj2WM2N\ K2NM2NR2WU2cZ2zc2zj2x`czzzfm2em2em2co2co2ao2ao222t\ 22N22N22t22N22N32N52x73c85NA8NBBNDDNEGNHKNJPJKWEMa\ ANh5Pm2Tt2Ux2Wx2Xx2Zx2_x2o2am2Zm2Xk2Uk2Tk2Pj4Nj7Kh\ AJhDGhGEfJBfMAfP7eT5eW3cZ2ca2ce2af8ahG_jNakWamcaok\ aqtarxatxavxawxaxxaxxaxxaxxaxxaxxaxxaxxaxxaxxaxxax\ xaxxaxx2xx2xx2xx2xx3xx4xx } 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 02-10-07 (East Horse Valley [7])
by Jim Muth 02 Oct '07

02 Oct '07

FOTD -- October 02, 2007 (7) Fractal visionaries and enthusiasts: To create today's image I took Z^2, mixed in 2 parts of Z^(0.75), added straight C and let it rip. The resulting fractal is a Mandelbrot set that is cut off on the southeast side, but has lots of extra action in the northwest quadrant. This extra action involves many additional filaments and holes of various shapes and sizes. Today's scene is located near a larger but still tiny minibrot in an ambiguous valley of a large hole northwest of the main period-2 bud. I call the valley ambiguous because it appears to hold Seahorse as well as East Valley features. I named the image "East Horse Valley to emphasize this ambiguity. When it came time to rate the scene I turned generous. The rating of a 7 seems a bit liberal, but why not reward myself for an acceptable image created on a bad workday. The calculation time of 5 minutes on a 2000mhz fireball is within reason. On a 200mhz snowball the scene takes close to 1/2 hour to complete -- still barely within the bounds of reason. The most reasonable way of all to see the fiery image however is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view it there. A near perfect day here at Fractal Central on Monday went unno- ticed by the fractal cats, who spent the better part of the day sulking at each other for something only they know about. My day was spent trying to straighten out a job that came in in a state of total confusion. (If a customer doesn't know what he wants, how am I supposed to give it to him?) It took mostly a few lucky guesses to get that job out of the way. The next FOTD will be posted in 24 hours. Until then, take care, and could the popular interest in fractals finally have run its course? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= East_Horse_Valley { ; time=0:04:56.66-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-1.47584661761365700/-0.074900264193136\ 27/5.431817e+012/1/42.578105516759706/0.0023852665\ 8395731006 params=1/2/2/0.75/0/0/0/0 float=y maxiter=1550 inside=0 logmap=550 symmetry=none periodicity=10 mathtolerance=0.05/1 colors=020P1SQ3SR5SS9STBSUDTVGTWITXJTYLTZNT_PT`RTa\ STbTTbTRbXQb`VbgZbncbugbvkbwnbxrbys`ztYzuTzvQzwMzx\ HzyFzzDzzDzzDzzBzzBzzBzzAzzAzzAzz8zz8zz8zz8zz8vz8r\ z4tz2vz0xz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zx0zv0zr6tlD\ ngMjcTdY``VhZRqUKsUGsYDs_9sU5sR3sP2sL2sI2sF2sC2q92\ m62j32g22e22`22Z22Q22F2782KD2GJ2FO2DT2Bb29h27g95mD\ 2qJ2sO2sU2s`2sd2sk2sp2sh2sc5sZDsUMsPVsKbsFlsAts5xj\ 2lT6YBHK0S70d20n20l20l20j20j90hF0hM0fT6f_BdeHdmObt\ TbxZ`xe`xj`xoZxqXxsXrsVgsSYsSRsRGsP7sP2sN2sN2sH2sD\ 2jA2`62T22M22B2S42S02S02S02S02S02S02S02S02S02S02S0\ 6S0BS0HV0NW0SY0Z_0RD0J26Dp0Bp0Ap08p06p04p02p02p02p\ 025022022F22g2Gs8Ws4Om2Gb2BT23J22A22022022OLYRJVVH\ RXFMXFKXDGXBDbBBmA7q83s82s62s42s42s22s22s22s22s2Fs\ 2Is2Ms2Rs2Vs2Ys2bs4es6js8ms8rsCwsGysKzsOzqSzsWzs_y\ sczsczsczsczsczsczsczsczsczsczsczsczsczsczsczsczsc\ zsczsczsczsczsczsczsczscz } 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 01-10-07 (Powers and Dominions [6])
by Jim Muth 01 Oct '07

01 Oct '07

FOTD -- October 01, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's image is based on the formula Z^(2.005)+(2*Z)+C. This formula produces a parent fractal which, on the surface, resembles the Mandelbrot set, but is entirely different inside. The main spike of this parent is infinitely divided instead of being a single infinitesimally thin filament as is the spike of the M-set. Today's image is located in the debris associated with this divided spike. I named the image "Powers and Dominions". The only reason I can give for the name is that the phrase came to mind when I noticed the heavenly blues surrounding the hellish reds. I am currently reading a book about the traditions of angels in various cultures, and these are two of the traditional nine orders of angels. But there is nothing angelic about the image, which rates only a 6. We have seen similar images simply too many times to rate today's any higher. At least the image is a fast one, finishing in only 1-1/4 minutes on the fast machine and 7 minutes on the slow unit. The pre-calculated image is available for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The morning fog cleared away by 9am leading to a perfect day here at Fractal Central on Sunday. The fractal cats enjoyed the temperature of 75F 24C, while I enjoyed having nothing to do. The next FOTD will be posted in 24 hours. Until then, take care, and fractals are every bit as real as the angels. Or it could be that angels are as real as fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= PowersAndDominions { ; time=0:01:15.85-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-1.72115541311189900/+0.057607899272470\ 40/6295098/1/-111.5/5.46746958873800537e-006 params=1/2.005/2/1/0/0/0/0 float=y maxiter=1250 inside=0 logmap=125 periodicity=10 colors=000F09G07I07G0AF0DF0GD0JD1MC4PC8QABT9EX9H_7\ Ka7Nd6Qg6Si4Wl3_o3cr1eu1ix0mz0rz0pz3ny6lv9ksChoFfl\ IeiLdfOacQ__TYXXXT_UQaTOdRJgPGjLDmIApG7sD3vA0y90z7\ 0z00z60zP0zU0zZ0zc0yh0vm0sr0px0mw0lu0ir1fo3cj4`g6Y\ d7Xa9T_AQXCOTDLPFMMFJOGGSGFVICZI9VJ7WJ4YL1hL0jM0kM\ 0lO0cM0lO0kO0cP3iP6hP9gQCZQGeQJdSMcSPcSTcTXcT_cVcc\ VgcVkcXocXtaXxcYzhYzm`zmYzmVzmTzmQzmPzmMziLzeIzcGz\ cDzdCzd9zf7yf4xg3wg0vi0ui0tj0sj0rl0rl0rl0oi0mg0lf0\ jd0ic0ga0f`0dY0cX0aV0`T0_S0YQ0XP0VM0TL0SJ0QI0PG0OF\ 0OA0MD0MG0LI0LL3LO7JPCJSGJVLIXPI_SIaXGc`GfdGiiFjmF\ mrFpvDrzDuzCxzDvzDvzDvyDvuDurDumDuiFudFu`FsYFsTFsP\ FsL4z0FsIPdf_QzdLzjFzpAyv4xz0zz0vp4sf9oYDlOJiDOd3S\ a0_Y0X_0V`1T`4Qa7PcCOcFMdIJfMIfPGgTFgXCi_Ajc9jh7km\ 4mr6mv8owAqwEswJuwNwwSxwWyw_zzdzzizzmzzqzzwzzxzzyz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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