August 2006 - Fractint - mailman.xmission.com

FOTD 04-08-06 (Well-Rooted Fractal [6])
by Jim Muth 04 Aug '06

04 Aug '06

FOTD -- August 04, 2006 (Rating 6) Fractal visionaries and enthusiasts: Today's 6-rated image is a scene in a remote valley of the Z^sqrt(2)+C as it appears 38 levels up the logarithmic ladder. I named the image "Well-Rooted Fractal" for no good reason. The Z^sqrt(2) fractal is interesting because its midgets are unusually easy to find. They first appear much like the midgets of the Mandelbrot set, hiding between two symmetrically placed elements. Unfortunately, the patterns around the midgets in the square-root-of-two fractals have a tendency to all look the same. The pattern around the barely-visible midget at the center of today's image lacks some of this 'sameness', but it is still similar to many other images. The render time of 8 minutes is just the slightest bit on the slow side. This slight bit of slowness may be avoided however by downloading the already-rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another very hot day here at Fractal Central kept all thoughts of going outside from the heads of the fractal cats. They spent the day watching birds and squirrels. For me the day was about average. If all remains average, the next FOTD will appear in 24 hours. Until then, take care, and I hear that fractal soup is delicious. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Well-RootedFractal { ; time=0:08:00.55--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=-0.6174173528\ 2187680/-0.20187002932680840/1.964483e+009/1/2.5/\ 3.90137333446116674e-007 params=1.414213562373/0/\ 38/0 float=y maxiter=5000 inside=0 periodicity=10 colors=000fZmyN9wU7u`5tf3rm1qs0kf4fU8aHCX4GV88UC1W\ M3YW4_e5`n6TaAMQEFDI81MIGJSVGaiDjwAlvGnuMpuSqtYstc\ usivsnrlonepjZpfSqcMqKbb0sP8tNFuLMvJUwH`xFgyEetMcp\ Ubka`gi_cq`gh`j``mS`pKZaVYNeX9o926FAAKHEQOIVVL_bPe\ iTjpXow_YtPHrF0p54j98dCCZGGTJKNNOHQSCTY9Ub7Vh4Wm2X\ r0Yq2ep4mp6uk6og6ib6cZ6YU6SQ6MM6HK9FJBDIECGGA0A00F\ 0X6CRMELaUUdcafmiiumkzmnzmqzmszmuzmwzmzzmzzPHUPGUP\ GURIUTKUUMWUOTUQQUSNUUKXTI_THbTFeTEhTCkTBwT9zT8oax\ g`p`_hUZ`NYTGXL9WD2W65jwGZnROf`DZeV`jlahh_feZdbXc_\ WaWV_TTYQSXNRZRN`UJbXGd`Cmc8zf5taAmYFcUKUPPKLUDHYJ\ TdOckTnrYyxk_wxAvnCpdEkVGeLI`MKWNLRNMNONIOOEWRHcUK\ jXNiaOhfPhkQgpRfuSfzSgrUhkWicYjX_kPalIcgJ`cJYZKVVK\ TQLQMLNILLNNMRONVQNZRObTOfUPjVPhURgTSeSTdRUbQVaPW`\ OXwPbsRXpTRlVLiWFXURKSb8RnJ_aUgQdoEow2YyRHzoNxkTvg\ Ztcdr`jpXpnTulQvgNvcKw_HwVExRBxN8xJ5efraboYZmVWkRS\ iOPgRNhULhWJhZHhaFhZMWbTd } 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 for 03-08-06 (A Square deal [6])
by JimMuth＠aol.com 03 Aug '06

03 Aug '06

FOTD -- August 03, 2006 (Rating 6) Fractal visionaries and enthusiasts: The parent fractal of today's image subtracts 0.1 part of Z^5 from one full part of Z^3, resulting in a small but interesting Mandelbrot set lying just beyond the left border of the opening screen. Today's image lies in the East Valley of this M-set, which is rotated 180 degrees, making East Valley actually a west valley. To add life to the image I rendered it with outside=tdis in effect. The unusually obvious square feature surrounding the central midget inspired the name "A Square Deal". When the time to rate the image arrived, I looked at it and decided it was just unusual enough to rate a slightly-above-average 6. A 6-rated fractal is nothing to get excited about, but the calcu- lation time of just over 1 minute is so short that little effort will have been wasted if the result fails to please. And the calculation may be escaped entirely by downloading the already rendered image in GIF format from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> More 99F 37C stifling heat here at Fractal Central on Wednesday kept the fractal cats glad that they did not have to go outside. It is far more pleasant chasing each other about in air-condi- tioned comfort. But when Cassie finally cornered Nico, she grabbed him and started kicking him in the head. Luckily, Nico has a thick head. In my department, the work was slow but my energy was low. The two canceled each other out. Unless the unexpected happens, as it sometimes does, the next FOTD will appear in 24 hours. Until then, take care, and walk and talk with fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Square_Deal { ; time=0:01:16.35--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-3.475760009066282/0/3.414284e+007/1/180 params=1/3/-0.1/5/0/0 float=y maxiter=3000 inside=0 outside=tdis symmetry=xaxis periodicity=10 colors=000Z6le7nfDlgJjhPiiVgj`fkfdkkcinYgpTfrNdtIb\ vCax7`x8_x9_x9ZxAYxBYxBXxCXxCWsDWnDViEVeEV`FUWFURG\ UNGTSHTXIT`JLDNSPVZ`beljlFIiyxlxrnwlqvgsuaADrYZgut\ X1Bu4Cl6Dd8EXAFPCFH0Ev6nh9ijCdlE_nHVpKQrMLtPGv72rH\ 7uRCxfwlisjkohmlfphdrebta`zbcvZZsWVpSRmPMjLIuC6gIE\ UNMGSU2X`6Sc9NeCIgNSTJb4X`FoUIlXMjZQhaUfcXdf`bhdbt\ f`jg_ahYTiXKiQUjJckDlkKfiQagXXeaUhbTfbSdbRcbQabQ``\ SY_TWZUTYVRXWOWXMC87EH8FP9GYAIeBJnCKy7KwAKvCKtEKsH\ KqJKpLGuLKoNOjPRdRV_TYUVaPXdKZjGToDNtAHkCLcEPVGTNI\ XDJaFK`GL`IM`JN_LO_MP_NQ_4IZ3Hb3Ge3Gh3Fk3Fn8LjDQfI\ WbN`ZVhXSeVQbTO_RLXPJUNHRLFPKHTPIWUJZYKabLdgMgkIrh\ JkJMfQPbWRYaUUgWPmZLs`HySQhRiaJYS4BF8HHCNJGTLJZMNd\ ORjQ_eOUpRLh8NqJPzTWEl_NbcVTgbJrh0jjAbkKY2RWlUUhXS\ eZQb`O_bMXdKUfJRhITbIUXHWSHXMGZGG_BF`GF`LE`QE`UL_U\ RZUXYUcYUiXUoWUuWUq_SncQjgPgkNcoL`rKXpNToPQnRMmTIl\ VFkXGcZHX`IQbJIdKBfL4gS5j } 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=========================================

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FOTD 02-08-06 (Bits and Pieces [5])
by Jim Muth 02 Aug '06

02 Aug '06

FOTD -- August 02, 2006 (Rating 5) Fractal visionaries and enthusiasts: Today's FOTD is 12 hours late. My excuse: the usual one about too much work. Today's little diversion takes us to the fractal that results when various portions of Z^(-2.5) and Z^(-10.7) are combined and (1/C) is added. There is little to be said about the image, which must be seen to be appreciated. Unsatisfied with the colors, I could rate the image no higher than an average 5. But its fireball speed of under two minutes on my tired old machine means that little effort is required to calculate it. I named the picture "Bits and Pieces" for no good reason. Of course, all fractals created with negative powers of Z come in bits and pieces, so the name might not be so inappropriate after all. The image is a very fast one, but for those whose computers have forgotten the good old days of DOS and Fractint, the completed GIF image has been posted in its full quasi-glory to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Extremely hot weather, with a high of 99F 37C here at Fractal Central on Tuesday kept everything subdued. The fractal cats spent the day stretched on the coolest spots they could find. I spent the day busy working. Today promises to be a repeat. The next FOTD is due in 12 hours. Check to see if it makes it. Until then, take care, and be reasonably rational. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Bits_and_Pieces { ; time=0:01:53.77--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=-0.80009036223935020/+0.949468244886301\ 40/24082.96/1/90/3.88578058618804789e-016 params=-8.5/-2.5/2.7/-10.7/0/0 float=y maxiter=350 inside=0 outside=tdis periodicity=10 colors=000mNz5PP5QQ4SR4TT3VU3WV3YX2ZY2`Z1a`1ca1dbD\ YVOSO_LHjFAu93tD8tGCsKHsNLrRQrUUqYZq`bpdgpgkokpont\ oqxklxhhxecxb_xZVxWRxTMxQIxMDxJ9xG4xD0xC2vC3tB5sB6\ qA8oA9n9Bl9Ck89f76a64Y7GG77U79T7AR8CP8DO8FM8GK8HJB\ FHDDFGBEIACL8BN69Q57S36V14X03W32V52U72TA2TC2SE2RG2\ QJ2PL2PN2OQ2NS2MU2MV2IS6EN9IJCMGEPFHTEJWDL_COcBQfA\ Tj9Vm9XnCWnFWnIWnLWnOVnRVnUVnXVo_UiLUoYUohUokTonTo\ qTotTbsYQraDqf0pjwlSsmRpmRmnRjnRgnRdoQaoQZoQWpQTpQ\ QpQYnMemJdnLdoMdpOdqPdqQcrScsTctVcuWcuXer_fpagnchl\ fijhjhjlemmconaqo_tpYvqWxrUz1isSUdqFRmKUjOXfT_cXb_\ aeXehTjkQnnMsqJwtUlqdaooRmzHkvMhrQfnUcjYafa_ceX_iV\ WmTSqQOuOLyMNtPPoRRkTTfVVaYWY_YTa_OcaKfcFheAjf6li8\ ikAgnCepEcrG`uIZwKXyLVsOUmQUgTUbVUXXUR_TMaTGdTAfT5\ hT6gR6fP6eN7dL7cJ7bH7bF8aD8`B8_99Z79Y59X39X2CV8EUD\ GTIISNLRSNQXPPaROfVQdYSc`UbcWafY`i__laZocYreXufWqc\ Ym`_jYafWc9ZS8WR7UQ7RP6PO } 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=========================================

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FOTD 01-08-06 (Iterative Blues [7])
by Jim Muth 01 Aug '06

01 Aug '06

FOTD -- August 01, 2006 (Rating 7) Fractal visionaries and enthusiasts: Today's image resembles a . . . well, I just don't know. I named it "Iterative Blues" on a whim, and rated it at a 7 because it's a bit on the unusual side. The image is a brief excursion into the fractal world that is created when portions of Z^(-1.4) and Z^(-7.4) are combined, and (1/C) is added. Like so many interesting fractal images, today's image is found deep in a valley of its parent. (The parent has countless valleys.) Apparently, the valley has some of an East Valley nature to it. Many of the characteristics associated with East Valleys are present in the image. The render time of 9 minutes is true on my 10-year-old P200 machine, which is basically useless on today's internet, but which loads DOS 6.22 and, as long as it continues to run at all, (which might not be too long), will run Fractint perfectly. I am a bit puzzled (and rather amused) by the ongoing fuss about S.O.T.A. Windows-XP computers and video cards that have not been told how to run DOS programs. If your present machine is over- qualified, go out and pick up an older unit that is inadequate for the internet, and dedicate it to Fractint. They are practi- cally being given away. BTW, is Fractint the last DOS program still being actively used? (Maybe not. I write my FOTD discus- sions using WordPerfect 5.1) As I said earlier, today's image renders in 9 minutes. That time may be saved by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the completed GIF image from there. With a high temperature of 91F 33F, things were a bit sultry here at New Fractal Central on Monday. The new fractal cats must have agreed. Except for Nicholas scratching around his ears, they kept their activity to a minimum. And I must keep an eye on the scratching. Nicholas could have picked up fleas. The evening treat of tuna went peacefully, with no one trying to steal the other's food. For me the day was un-notable. The next FOTD will appear in 24 hours. Until then, take care, and everything that exists is a paradox. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Iterative_Blues { ; time=0:09:03.38--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+3.90926221344914200/-0.000896083401516\ 61/203745.3/1/-45/1.64728598817109884e-009 params=1/-1.4/0.14/-7.4/0/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=10 colors=000MRcOOfPLhRIjSFmUCoV9qW7sMZpDymIscNmUSgLX\ aB`W2XhsLsMJhNHYNGVLFRJDNGCJE1nA2jB3gB4cB5`B6XB7UC\ 8QC9NCAJCEk6Dh7Df7Dc8Da8CZ9CX9CUACSABPBBNBBKCBICDh\ dUfBRbCP_CMWCKTCIQCFMCDJCYJYTITOHPKHKFGG1Vx5Qg8LSD\ slCoiClfCicCf`CcYC`VBYTBVQBSNBPKBMHBJECzXBuUBpSBkQ\ BgOBbMBYKBUIBPGBKEzv3jSigRfdQcaP`ZOYWNVTMTQLQNKNKJ\ KHIHEHEIPaHNYGMVFLSEKPDJLCIIBHFI2iH3fH4dG5aG6_F7XF\ 8VE9TEAQDBODCLCDJCEGBFE2SKUZ0SX1RW2QV3PU3OT4MR5LQ6\ KP6JO7IN8GL9FK9EJADIBiHCi`JmaFrcBvd7xp1qo6koAenF_n\ JTmNNmSHlWBl_QYUcJOq4Jn9GkEDiJBfO8dT6aY3_a1PREEGR3\ 6bCCcLIdUNebTfkZgscgiz0kx5mvAotFqrKspPuoUtgQt`MtUI\ sMFsFBs87s14UpIVqHWqGWqFXqEYrDYrCZrBZrBblBefBh`BkV\ BnPBqKBpJBoICoHCnGCmFDmEDlDDkCEkBEjAFi9Fi8Fh7Gg6Gg\ 5Gd6Fa7F_8FBJCX9EVAESBEQBDNCDLDDIECGFCDGCATtBSqBRn\ BQkBPhBOeBNbBL_BKXBJUBIRBHOmbJi`If_IcYH`XHZVGHVDLW\ CPWCTWBXWBVVGTULRTQPSVNR_ } 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=========================================

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FOTD 30-07-06 (Iterative Blues [7])
by Jim Muth 01 Aug '06

01 Aug '06

FOTD -- August 01, 2006 (Rating 7) Fractal visionaries and enthusiasts: Today's image resembles a . . . well, I just don't know. I named it "Iterative Blues" on a whim, and rated it at a 7 because it's a bit on the unusual side. The image is a brief excursion into the fractal world that is created when portions of Z^(-1.4) and Z^(-7.4) are combined, and (1/C) is added. Like so many interesting fractal images, today's image is found deep in a valley of its parent. (The parent has countless valleys.) Apparently, the valley has some of an East Valley nature to it. Many of the characteristics associated with East Valleys are present in the image. The render time of 9 minutes is true on my 10-year-old P200 machine, which is basically useless on today's internet, but which loads DOS 6.22 and, as long as it continues to run at all, (which might not be too long), will run Fractint perfectly. I am a bit puzzled (and rather amused) by the ongoing fuss about S.O.T.A. Windows-XP computers and video cards that have not been told how to run DOS programs. If your present machine is over- qualified, go out and pick up an older unit that is inadequate for the internet, and dedicate it to Fractint. They are practi- cally being given away. BTW, is Fractint the last DOS program still being actively used? (Maybe not. I write my FOTD discus- sions using WordPerfect 5.1) As I said earlier, today's image renders in 9 minutes. That time may be saved by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the completed GIF image from there. With a high temperature of 91F 33F, things were a bit sultry here at New Fractal Central on Monday. The new fractal cats must have agreed. Except for Nicholas scratching around his ears, they kept their activity to a minimum. And I must keep an eye on the scratching. Nicholas could have picked up fleas. The evening treat of tuna went peacefully, with no one trying to steal the other's food. For me the day was un-notable. The next FOTD will appear in 24 hours. Until then, take care, and everything that exists is a paradox. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Iterative_Blues { ; time=0:09:03.38--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+3.90926221344914200/-0.000896083401516\ 61/203745.3/1/-45/1.64728598817109884e-009 params=1/-1.4/0.14/-7.4/0/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=10 colors=000MRcOOfPLhRIjSFmUCoV9qW7sMZpDymIscNmUSgLX\ aB`W2XhsLsMJhNHYNGVLFRJDNGCJE1nA2jB3gB4cB5`B6XB7UC\ 8QC9NCAJCEk6Dh7Df7Dc8Da8CZ9CX9CUACSABPBBNBBKCBICDh\ dUfBRbCP_CMWCKTCIQCFMCDJCYJYTITOHPKHKFGG1Vx5Qg8LSD\ slCoiClfCicCf`CcYC`VBYTBVQBSNBPKBMHBJECzXBuUBpSBkQ\ BgOBbMBYKBUIBPGBKEzv3jSigRfdQcaP`ZOYWNVTMTQLQNKNKJ\ KHIHEHEIPaHNYGMVFLSEKPDJLCIIBHFI2iH3fH4dG5aG6_F7XF\ 8VE9TEAQDBODCLCDJCEGBFE2SKUZ0SX1RW2QV3PU3OT4MR5LQ6\ KP6JO7IN8GL9FK9EJADIBiHCi`JmaFrcBvd7xp1qo6koAenF_n\ JTmNNmSHlWBl_QYUcJOq4Jn9GkEDiJBfO8dT6aY3_a1PREEGR3\ 6bCCcLIdUNebTfkZgscgiz0kx5mvAotFqrKspPuoUtgQt`MtUI\ sMFsFBs87s14UpIVqHWqGWqFXqEYrDYrCZrBZrBblBefBh`BkV\ BnPBqKBpJBoICoHCnGCmFDmEDlDDkCEkBEjAFi9Fi8Fh7Gg6Gg\ 5Gd6Fa7F_8FBJCX9EVAESBEQBDNCDLDDIECGFCDGCATtBSqBRn\ BQkBPhBOeBNbBL_BKXBJUBIRBHOmbJi`If_IcYH`XHZVGHVDLW\ CPWCTWBXWBVVGTULRTQPSVNR_ } 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=========================================

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