August 2007 - Fractint - mailman.xmission.com

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

22 Aug '07

FOTD -- August 21, 2007 (Rating 6) Fractal visionaries and enthusiasts: As can be seen from the coordinates, today's image lies far out near the tip of the straight filament on the negative X-axis of the Mandelbrot set. The scene is actually located deep in the East Valley of a far larger, but still tiny Midget. For this reason I named the image "East Valley Scene". I might have rated the image a 7, but negative-stem images of this sort are among the first things a fractal newcomer finds. Since the area has been so thoroughly explored, I finally settled on a rating of a modest but honorable 6. Even though the image is well within the range of arbitrary precision math, it is unexpectedly fast, finishing in only 3-2/3 minutes on the P4-2000. On the P200 it would take around 20 minutes to finish -- still a speedy time. 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. The image has been posted for convenient viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A steady rain made Monday an indoor day here at Fractal Central. The fractal cats made the most of things by chasing each other through the hallway all morning, then aleeping for most of the afternoon. My day was occupied with routine work. The next FOTD fractal image should be posted in about 24 hours. Until then, take care, and wonder what it's all about. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= East_Valley_Scene { ; time=0:03:41.62-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.9999991175871\ 771353513668292373759/0/1.013802e+030 params=0/0 float=y maxiter=2500 inside=0 symmetry=xaxis periodicity=10 colors=0008u0LZ0ZD05ljGX`wJSrNJ5OOwOLQ0I`0E0zzj0ww\ ejjOZwENyGWyJQoPQlJLk6GuA9nEOn80c00e02g05i080B0300\ O06zSlzGZu5NX0OGz0On0WW0cB6zzzzUbDOOLGLU8Ib0EGzNJc\ eXGQg0Xi0L0iOztNS0zb0cuprpLWzXzzNzzDir3SlgNjQIj9E3\ EJE8GO3E`0DSnUZUNeBGzuzzcpuObp8O900J03S06b09piLnWI\ lIGj5DzLzy6i00n30`O0N0zzQ00X02c06JQeUEWb3L0zSBUJL0\ zU0lb0U3gEEUDOID`5BzQzzrzwLyrWzjNrcEQX60Q00XN0cl0l\ j0ui0zg0zg0ri5XjLDlb0nt2bL6Q03eD0tbzztOQip0UZ2JGSc\ OIWW9Oc2Izu0000UB3b285rbyj0rJ000zB0iz00z00g0230eO0\ Q02DQ0OX0Jc0EWyz6el000I00z2cz0Wy0Or0Itizz0Qu0Lp0Gw\ EN2bzDQyOEg`3Q0ZOWlr`UbeBOE0zQ0l`0U0O0DD0U35nXIlNG\ lDEj3DN0zy0`r0Ny60r02UXZbDNX00zZ2uXrz5Q00L0WENBDzi\ zuQlp9UO0pW0e`0We0L000503Q08ltc0zzGUi000E00W05cBce\ 6Wg2Oi0IlD0j63j08N0OU0LZ0Ie0E0SNG9G0lzLJb0zBEUBzz0\ 0zINZE0r`LNNe0Sg0Li0G0DzG66O38W09c0B0GG89EL5DZ0BNn\ zUZpZLbe6O3`NILIX6EBE8U39 } END PARAMETER FILE=========================================

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FOTD 22-08-07 (Short Shrifted [7])
by Jim Muth 21 Aug '07

21 Aug '07

FOTD -- August 22, 2007 (Rating 7) Fractal visionaries and enthusiasts: The most unusual thing about today's scene in the Mandelbrot set is its bailout, which is set at the unusually small value of 2. With this tight an escape radius, quite a few points that would normally remain trapped actually pass beyond the artificially close escape radius and are considered by the program to have escaped. As a result, all parts of the set beyond a radius of 1.4142 from the origin have been cut off. These elements are lost forever, but the parts of the M-set that remain have under- gone a striking change. The equal-iteration bands have become equal-iteration blobs, which give a totally different effect to today's scene deep in the west side of the north branch of Scepter Valley. Because so much of the parent M-set is missing, I have named today's image "Short Shrifted". But I almost chose the name 'The Scepter of Power'. I rated the image at a 7 because of the unusually vivid color palette. There can be no complaints about the calculation time, which at a superluminal 3-2/3 seconds is about as brief a time as will ever be seen in a FOTD image. The time required to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the completed image there is a bit longer, but the extra minute or so will eliminate the hassle of calculation. Steady rain and drizzle, an unseasonably cool temperature of 61F 16C, and a raw east wind kept all but the hardy few indoors here in the Fractal Central area on Tuesday. The fractal cats are hardly among the hardy few, and they have still not forgotten the great time they had chasing the bat that got into the house last week, but I fear they will have no more bats to chase for quite a while, if ever. My day was nominally busy. The next FOTD is scheduled in 24 hours. Most likely it will appear on schedule. Until next time, take care, be fractal friendly and environmentally alert. Fight global warming by rendering fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Short_Shrifted { ; time=0:00:03.41-SF5 on P4-2000 reset=2004 type=mandel passes=1 float=y center-mag=-1.25866275871275700/+0.036890950315646\ 36/7.802864e+010/1/54/0 params=0/0 maxiter=6250 bailout=2 inside=0 logmap=851 periodicity=10 colors=000nmjcc`UUSKKIAK9gEIZBEQ8AHK78K3SIoMEdGAVB\ KK53AxaDrZ4RK2Gob8QJAKF8KD7KB6K95K73K52K31K1tGBhC8\ Y96MK4BK2EV7AN57K33K1NTKFJD7K6diGZcEUYCPSAKN8FK6AB\ 45K25lA4e83_73U62O51K31K20K1NKMBKBp8Ab67Q45DK2n_1g\ q0ai0Va0PV0JN0CK06K0kePdoLYfHRYEKQADK76K3mxXPUG0KN\ 0KH0KB0K5cccihbVUQFKD4kY2WM1KBufTm`PfWL_QITLELKAEK\ 77K3aDSVANPKIJKECK96K4p`yiWqbRiXNaQIVJKNDKF6K7zmSq\ eOhZK_SGRLCIK89K4ukxiakYS_NJOBKCYb7RV5KN4DK26K1I9z\ D6q94d4KTAXAbegtjAaV6JK3JdBCR76K3nria0YP0NC0BN0300\ Mc0I00F00OR0MU0WY0da0si0pa0zU0hN0bF0VM0JR01U00X00b\ 00r00zS0z`0zU2zF1UA1FK000E00C00A0cz0I60K40K2gWOMKC\ L`kFR_AIO5KCNg6HX4BM35K1Mz3B01Mx4mm3Ec2BU27K13K0Hi\ FEaCBUA8N75K52K2nk5zz4zz3zz2zz2zz1zz0zzfzzZzzSzzLw\ zEtz7qzPnzVkzHhzEezCbzA_z8XzzUzzUzzUzzUzzUzzUzzUzz\ UzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUz\ zUzzUzzUzzUzzUzzUzzUzzUzz } END PARAMETER FILE=========================================

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FOTD 20-08-07 (Deep on the Spike [7])
by Jim Muth 19 Aug '07

19 Aug '07

FOTD -- August 20, 2007 (Rating 7) Fractal visionaries and enthusiasts: At first glance, today's image from the good old Mandelbrot set appears to show just another midget in Seahorse Valley. And indeed it is a scene in Seahorse Valley. But why then does it take over 1-1/2 hours to calculate on the fastest P4-2000mhz machine, and over 5 hours on the slow old P-200mhz unit? The obvious reason is its magnitude, which is large enough to require arbitrary precision math. But why then is such a large magnitude needed when the midget appears to be one of a relatively small magnitude? The reason for this is that the Seahorse Valley in which today's scene lies is not the Seahorse Valley of the M-set itself, but the Seahorse Valley of a miniscule midget just beyond the tip of the main stem of the large midget on the main stem of the M-set. Perhaps the most unusual thing in today's image is the way the near total chaos of this general area of the M-set blends into a very smooth overall image. Only the remnant irregularities around the edges betray the true location of the scene. With all this in mind, I named the image "Deep on the Spike". I rated it at a 7, which seems fair enough. But the very slow calculation time of the image could be a real problem, so I strongly recommend visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing it there. I sent the finished image on ahead to Paul several hours ago, so it should be posted by now. A light but steady rain fell most all day Sunday here at Fractal Central. The area needs the rain, so I guess we can't complain. I spent the day indoors, checking old fractal formulas, (spelled formulae by the over-educated), while the fractal cats spent the day like cats usually do -- sleeping and eating. The next FOTD should appear in 24 hours. Until then, take care and vote for a fractal in the next election. It will probably do a better job of running things. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deep_on_the_Spike { ; time=1:32:57.96-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.7903\ 364338969715554/7.7315068e-13/1.246083e+015/1/30/\ 3.8857805861880479e-016 params=0/0 float=y inside=0 maxiter=45000 bailout=4 logmap=2106 periodicity=10 colors=000M9gK9hH9iF9jD9kILjNXiRhhSddT`aTXZUTVUQSV\ MPVILWEIWBF`LPdUYfVWgWUhXSiXQjYOkZMl_Km_Io`GpaEqbC\ rbAsc8td6ue4ve3uc8ubDtaIt`Mt_RsZWsY`sXdkVhcUlWSpOR\ tSNsWKr_HrbEqfBqj8pm5ph7kc9fZAaUCXPESKFNFHIBIEJTFR\ cFZnF_iK`dPa_UbVYbRbcMgdHkeCpf7uf3yfHqfVifhabe_ZcZ\ VaYR_XNYWJVVFTUBRT7PS3NR0LQ4NS7OTAPVDRWGSYJTZMU`PW\ aSXcVYdYZf``gcaifbjickjdhkeelfbmf`ngYohVpiSqiQrjNs\ kKtlHulFvmCwn9wn7HR9YO8eM8kK7qI7pG7oJAkMAgPAfPAePA\ dOAcNAaMA_LAYKAWJAUIARHAPGANFBKEEIFGGHJDJMBKP9MS7N\ UCPVGRWKTYLU_LUaLUcLUeLUgLTiLSlJSnLQr7RvATuDVuFXtI\ ZtL`tNbsQdsTfrVhrYkr`lqbpqerphtpjvpktmkrklpilnfmld\ mibmg`leYhbWeZUbWR_TPXQNVNKSKINFGMDDI9BE59D37K9CQE\ HVJM_NR`PSaQSbRScSSdTSdUSeWSfXSgYShZSi_Si`Sf_Ud_Wb\ ZY`ZZZY`XYbVXdTXeRWgPWiNVkLWlJ_nHcpFgrDksBoo9sk7ug\ 5wc4x`9yYEzWJzUOzSTzPYzNbzLgzJbzSZz_UzhQzpMzxJzsGz\ nEziBzd8z_YzbWzcTzdRzePzf } END PARAMETER FILE=========================================

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FOTD 19-08-07 (Seahorse Sympathy [No Rating])
by Jim Muth 19 Aug '07

19 Aug '07

FOTD -- August 19, 2007 (No Rating) Fractal visionaries and enthusiasts: When the weather turned out perfect on Saturday, F.L. and I made a spontaneous decision to go out and enjoy the perfection, which we did. By the time we returned to F.C., totally out of energy, it was well after dark, and I was too exhausted to launch into a fractal search. But after a restful night, my fractal energies returned, and today's minor image is the result. In today's image I re-used yesterday's trick, but I did it with Seahorse Valley rather than East Valley. The result is pretty much the same, not worth a rating, but marginally interesting. The result is pleasing enough to be declared FOTD for August 19 however. The name "Seahorse Sympathy" is pure whimsy. And the calcula- tion time of 5 minutes should leave no one in distress. The most convenient way to view the image is to wait for Paul to calculate the image and post it on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and then view the completed image there. Absolutely perfect weather prevailed in the Fractal Central area on Saturday. The fractal cats slept alone through most of it. My day was very active but also enjoyable. The next FOTD will appear in a matter of a few hours. Until then, take care, and be alert. We are surrounded by fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seahorse_Sympathy { ; time=0:05:21.70-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=ManJul2CPwr passes=t center-mag=0/0/\ 0.87 params=-0.749973/0.01/0.014/0.014/4/0 float=y maxiter=26000 inside=0 periodicity=10 colors=000WAAXAAYAAZAA_AA`AAaAAbAAcAAdAAeAAfA9gA8h\ A7iA6jC8kDAlEBmDCnDDoDDpDEqDErFGsGHtHJuIKvJLwKNxLO\ yNQzORzPSyQUxRVwSVvTVuUVtUUsUUrUUmUThUTdUS_USWURXV\ RYXSZZU_`V`bX`dY`f_`h``ja`lc`nd`pf`rg`ti`vj`wk`vkZ\ slXqlVomTmnRmoPmpNmoLmmPmkSmi_lgfkcfj_fiW_hSTgONfQ\ LeOJdNHcMFbLEaJC`IAdH8gG7jFAiGDiGFiHIhHLhINhIQhJTg\ JVgKYgK_gKaiJbjIdkHelGgmFhnEjoDkpDmrCnsBptAqu9sv8t\ w7vx6wy6tx8qxAoxBlxDjxFgxGexIbxK`xLYxNWxO`pTehXj`a\ oTetLjxEnuGjrIfoKblM_iOWfPScRO`TLYVHVXDSYAhPPxGcvX\ gulkiQXY3J`CObLTdTYfabhjgjrlcskXskQskSjmUaoVTpXKrZ\ Bt_2uY5sX8qWAoUDnTFlSIjQLhPNgOQeMScLVaKX`JZYI`VHaT\ GcQFdOEfLDhICiGBkDBlBPf5aa0__4ZY8YWCWUGVSKUQOSOSRM\ WQK_OIcNGgMEkObcQzXPvVOrTNnRMjPLgOMeNNcMOaLP_LQYKR\ WJSUJTSIUQHUPHMOMFNR7MW0L_4Ja8IcBGeFFgJDiMCkQAmU9o\ X8qYBnYEkYHiYJfZMdZPaZS_ZUX_XU__S_bP_dN`gK`jI`mF`o\ DZoIYoNWoSH1bF2VD3NB4F957 } frm:ManJul2CPwr {; Jim Muth ; Creates and rotates ^2 Hyperbrot Figure ; P1 sets point of rotation, P2 sets angle of rotation ; P3 sets power of C z=c=pixel: z=sqr(z)+p1+(p2*(c^p3)), |z| <= 100 } END PARAMETER FILE=========================================

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Re: New Formulas
by jackoftradez＠comcast.net 19 Aug '07

19 Aug '07

. Animation of the PARs Russ Walsmith WILL post here SOON is posted: http://www.fractal-animation.net/vid/immortal.zip WMV 640x480, 134 sec., 24 Meg (I used the temporal distortion feature implemented in Fractint to jump ahead of the curve <g>) . Stay amazed! JoTz .

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FOTD for Aug 19 coming in about 2 hours
by Jim Muth 19 Aug '07

19 Aug '07

Fractal fans: The FOTD for August 19 is unavoidably late, but it will be posted in about two hours. Sorry for the delay. Jim Muth

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Re: Strange Mandelbrot Thing
by jackoftradez＠comcast.net 18 Aug '07

18 Aug '07

. I may have Jim Muth's Julia rectangle beat. I found a circle - a perfect circle - in the normal Mandelbrot set! I have spent the past month exploring the region on the West needle just foreward of the large minibrot, at e+100 and beyond, looking for a minibrot target for my next Universe video. I could find none. I have known about and explored this area since my earliest days of fractal work, it is very intriguing. There are weird patterns that are found nowhere else in the set, look like alien egg pods or something. But they keep bifurcating and multiplying forever, they never seem to resolve into anything no matter how deep in you go. So I finally found this circle where I thought a minibrot would be. It is not part of the lake (M_set proper) since it is colored. It occurs to me that it may resolve into something, even a minibrot, if a high enough iteration count was used or needed, but I am limited by the fractint max of 2.1e9 iterations. Strangely, this image looks exactly the same at 10^6 and 2.1*10^9 iterations. I have never encountered that before either, maybe there is a software issue responsible? This PAR takes a LONG time to render, I expect few would bother, so I posted the images on my server, only half a MEG download. Anyone have a clue? http://www.fractal-animation.net/special/strange.zip .

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FOTD 18-08-07 (Absolute Insanity [No Rating])
by Jim Muth 18 Aug '07

18 Aug '07

FOTD -- August 18, 2007 (No Rating) Fractal visionaries and enthusiasts: Now and then I like to pull out old forgotten formulas and see what they can do. Today's formula is about 10 years old. It is an early attempt to draw oblique slices through the Julibrot, while checking different powers of C. It is only moderately successful at doing this, but it still can produce some interesting images. Today's image is a scene in East Valley of the Mandeloid created by the formula Z^2+C^8. The slice is oriented very close to, but not exactly in, the Julia direction. The resulting fractal has the outer shape of the East Valley Julia sets but with a very decorative 'star' in the center. I named the image "Absolute Insanity" because it makes so little sense. With no idea of what other images might lie in the formula, I could give today's image no rating, but it is still a rather interesting, if not the most attractive, image of all time. The included parameter file calculates in 4-1/4 minutes on the fast machine. It would take 23 minutes on the P200mhz. To see the image without the need to calculate it, go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view it there. Friday began muggy here at Fractal Central, but turned quite pleasant during the afternoon. The cats gave up waiting for another bat to appear, and resumed their normal activity of making their own trouble. My day was peaceful enough. The next FOTD will appear in 24 hours. Until then, take care, and walk with spirit. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Absolute_Insanity { ; time=0:04:16.72-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=ManJul2CPwr passes=t center-mag=0/0/1.02/1/-90/3.88578058618804789e-016 params=0.2505/2.06e-005/0.015/0/8/0 float=y maxiter=25000 inside=0 periodicity=10 colors=000XGIzKIAMfAMeAMcALbAKaAJ`AI_AHZAGYAFXAFW9\ EV8DU6CW6BZ6Aa68d63feRIfTJgUKhVLiWMjXNkZNl_Om`PnaQ\ obRocRpeSqfTrgUshVtiWukWvlXwmYxnZyo_zscyp_ymWyjSyg\ OydLyaHyZDyW9yT5zO0yQ2xR4wS5vT7uU8tWAsXBrYDqZFp_Go\ `InbJmcLldMkeOjfQigRhiTgjUfkWelXdmZdn_bo`ao`_oaZpa\ XpbWpbUqcTqcRqdQrdPreNreMsfKsfJsgHtgGthEthDuiBuiAu\ j9ujAthAsfArdArcAqaAp_ApYAoXBnVBmTBmRBlQBkOBkMBjKB\ iJChHChFCgDCfCCfACe8Cd6Cd5Bc6Bb6Ab6Aa79a79`78_88_8\ 7Z87Z96Y96X95WA5VA4UA4TB3SB3RB2QC2PC1OC1NC4PB7RBAT\ BCVBFXAIZAL`ANbAQd9Te9Wg9Yh9`i8ck8fl8hm8il7ik7ik7j\ j6ji6ji6kh6kh5kg5lf5lf4le4md4md4mc3nc3nb3na2oa2o`2\ n_1o`2o`3oa3pa4pa4pb5qb6qb6qc7rc7rc8rd9sd9seAseAte\ BtfCtfCufDugDugExfFugErgEohEmhEjiEgiEejEbjE_kEYkEV\ lESlDQmDNmDKnDInDFoDCoDApD7pD4qDZP52qD5oF8nGBlIEkJ\ HiLKhMMfOPePScRVbSY`U`_VcYXeXYhV_kU`nSbqRctPevOfeE\ YP5QR6RS6RU7SV7SMsONwLOzJ } frm:ManJul2CPwr {; Jim Muth ; Creates and rotates ^2 Hyperbrot Figure ; P1 sets point of rotation, P2 sets angle of rotation ; P3 sets power of C z=c=pixel: z=sqr(z)+p1+(p2*(c^p3)), |z| <= 100 } END PARAMETER FILE=========================================

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FOTD 17-08-07 (Hyperspace Figures [6])
by Jim Muth 17 Aug '07

17 Aug '07

FOTD -- August 17, 2007 (Rating 6) Fractal visionaries and enthusiasts: With today's image we once again enter hyperspace, (not that we ever left it). And just what is hyperspace? It is space of a dimension greater than 3. The most familiar hyperspace is of dimension 4, which just happens to be the space in which the Julibrot figure of the formula Z^2+C exists. Where is this hyperspace? In theory it is all around us, touching every point of our familiar 3-D space. We might say it is sideways to our insides. But what does a four-dimensional object look like? To begin, the question is a wrong one, for hyperspace is not a visual experience, it is a mathematical abstraction. But if we were able to visualize a 4-D object, we would see some kind of unimaginable monstrosity with a surface of three dimensions. On the surface of a four-dimensional hyperplanet, we could walk upright in three mutually perpendicu- lar directions, with the sky always remaining straight above us. Many other impossible things become possible in 4-D space. In my opinion, one of the most unusual is something called a double rotation. In 4-D space an object may be subject to two completely independent rotations at the same time. In 3-D space there is nothing corresponding to this curious motion. In 3-D space, a sphere, when illuminated by a point source at infinity, casts a shadow in the shape of a cylinder with a circular cross section. If this cylinder is sliced straight across, the section is a circle. If it is sliced at an angle, the section is an ellipse. If it is sliced along its length, the section is an infinitely long band of constant width with straight and parallel edges. Without going into hyper-detail, one of these straight edges is what appears on the southeast side of the Julia-like feature in today's image. Even though the image resembles a Julia image, it is actually sliced very close to the Oblate orientation. Today's image is a scene in the vicinity of the East Valley of the large midget on the main stem of the Mandelbrot set. I have rated it at a 6. I might have rated it a point higher, but I feel I have done a bit too many of this type of image over the past few years. I named it "Hyperspace Figures", because it is a scene in hyperspace. Unfortunately, with an maxiter of 1,500,000, the image is very slow -- 42 minutes on the P4-2000mhz and over 2 hours on the P200. To avoid fractal frustration, I recommend viewing the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Perfection once again proved elusive here at Fractal Central on Thursday. There was simply too much heat (90F 32C) and humidity to call the day perfect. The fractal cats seemed unconcerned. They are still waiting for another bat to come out for them to chase. My day was slow but strangely unsettled. The next FOTD will appear in 24 hours, and that's pretty well settled. Until then, take care, and keep checking back for more fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hyperspace_Figures { ; time=0:41:58.83-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2a passes=1 center-mag=+0.00328020489643859/+0.664356005504111\ 00/2545329/0.2808/-152.728346262165076/-72.8642931\ 627442465 params=2.75/90.11199999999999/0/90/\ -1.749/0/0/0/0/0 float=y maxiter=1500000 inside=0 logmap=46 periodicity=10 colors=000I0GF1HB2I73J54K25L06M07N08O09P0AQ0BR0CS0\ DT0EU0FV0GY0H_0Id0Le0Oi0Rl0Un8XqF_tKbxOezRhzUkzWnz\ Yqz_tzawzczzezzgzzizzmzzqzztzzwzzzzzmzzczzUtzFmzKc\ zQUmXUmdOziOzoOzvOztOzqOzoOvnOqnOllOgiOdgO_gOVeOQd\ gMagI_gF_g9Yg5Xg2Vg0Vg0Tg0Qe0Od0Oa0K_0HY0DX09T05g2\ 3g50g90lF0qI0xO0zT0zX0zQ0zK0zF0z90z30z00z00z02z07z\ 3Bz7HzDMzHQzMXzQazXizaez_az_YzYXzYTzYOvXMqXInXFiVB\ eV9aV5YT2VT0QT0MQ0IQ0FQ0HT0HT0HV0HV0HX0HX0HY0HY0H_\ 0H_0Ha0Ha0Hd0Hd0He0He0Ia2IY3KX5KT7MO9MMBOIDOFFQDHQ\ 9IT5KT3MV0OV0QX0TX0VY0XY0Y_0__0aa0da0_a2da5ga9iaDn\ aHoaKtaOxaTzaXza_zgdzagzXlzVozVtzVxzTzzQzzTzzVzzXz\ zYzz_zzazzdzzezzgzzizzlzznzznzznzznzznzznzznqzngzn\ YznOznFzn5zn0zn0zn0zn0zn0zq0zt0ox0dz0Tz5HzB5zI0zO0\ zX0za0zd0ze0te0lg0dg0Yi0Qi0Il0Dl05n00n00o00o00q00q\ 00a05M0M90Q70V70Y70_50d50g50i50n30q30v30x20z20z20z\ 20z00z00z00z0DqV7laQ7xM9v } frm:SliceJulibrot2a {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=real(p5+9) } END PARAMETER FILE=========================================

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FOTD 16-08-07 (Key-Lime Pie [6])
by Jim Muth 16 Aug '07

16 Aug '07

FOTD -- August 16, 2007 (Rating 6) Fractal visionaries and enthusiasts: What does one get if he subtracts Z^(1.2) from Z^(0.8)? A parent fractal of course. And where does one search in this parent fractal for an interesting scene? That depends on the explorer's temperament. Being the designated explorer, I searched the northwest outskirts of the parent, where a large midget is located. I checked especially carefully in the East Valley area of this parent, where, concealed deep in a harmless bit of fractal debris, I found today's scene, complete with sub-midget. I worked a bit on the colors, but I couldn't make a prize-winner from so little raw material, so I satisfied myself with a rating of a 6. The name I gave the image, "Key-Lime Pie" has more to do with the green color palette than any resemblance to that Florida treat. The reasonable calculation time of 1-1/2 minutes will make rendering the image from the included parameter file a treat. And those who don't care for sweet treats may view the already- calculated image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The humidity returned to Fractal Central on Wednesday, making the temperature of 86F 30C a little too oppressive for comfort. The fractal cats were worn out after a futile night of chasing a bat around the house. Around 4am I finally located the critter behind a curtain, caught it, wrapped it in a towel and released it outside. The only harm was to my sleep and Fractal Lady's nerves. As for the cats, they had one of their most frustrating nights ever -- all that running and leaping, and no kill. This afternoon they were still hoping for the bat to reappear. Except for the batty start, today was basically normal. The next FOTD will appear in 24 hours. Until then, take care, and stay alert. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Key-Lime_Pie { ; time=0:01:38.02-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=-5.8855024505473/+5.685774193055989/\ 5.931129e+007/1/-162.5/-5.9192343081375387e-005 params=-1/1.2/1/0.8/0/525/0/0 float=y maxiter=2000 inside=0 logmap=193 periodicity=10 colors=000BcKBbIB`HBZGBWEBTDBQBBNABK9BH7BE7BB7B87B\ 37B07B77BD7BKABQDBYGBcIBkLBqOBsTBtWBtZIvcQxfYxidyn\ lzqsztxzyzzzzzzyzvtynqxdlvYitQdsH`qAYo1Tn0Ql0zz0tx\ 0dh0Za0aV0YR0YO0ZL0VI0QG0ID0BA0B70Q40dDAtKVzRdzZdz\ ddzldztdztdztdztdztdtldtddtYdtQdtIdtBdt4dt2dt1dh0z\ f0zd0zc0zc0zT7zKLyAZv1nq0zn0qf7h`EZVLOOTGI`7Dh07h0\ 9h09h09h0Ah0Ah0Ah0Ah1Bh1Bh1Bh1Dh1De1DzPDj2Ga2HZ2IW\ 4LT4NQ4ON4RL6TI6VG6YD6ZA7`77c47d27f9DcDHaHL`NQZRWY\ W`WadVfiTkoRqtQvyOzzNzzLzzQxvVtoYoialcdiYidRlaLqZG\ tVAyR4zO0zL0zy12x44v76v96tB7sE9sG9qIAoLBoNBnQDlTEl\ VEfRHaOKYNLTKONHRIGTEDWAAZ49`06c02f01h00c20`90YE0V\ K0RQ0OW0La0If0Gc0I`0KZ0NW0OT0RR0Tc0In09y2070qE0hL2\ `T7T`AKhEDoH6xL0zO0zR0zz0at4AlL0dcHoKny1lz6kzAizEh\ zIfzNdzRczWaz``zdZziYznWzsVzxTzzRzzRzz`zlhzRqz6yz0\ xz0xz9xzKxzVxzfxzsxzzlzscziTzZKzQAzG1z70z00z00z00z\ 00z0az6Zx9VxBQxELxHHxKExL } 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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