August 2007 - Fractint - mailman.xmission.com

FOTD 15-08-07 (The Joker Laughs [Not Rated)
by Jim Muth 15 Aug '07

15 Aug '07

FOTD -- August 15, 2007 (No Rating) Fractal visionaries and enthusiasts: I had to do it. I just couldn't help myself. I had to take a perfectly lovely little midget in the Mandelbrot set and turn it into a parody of itself. Since the image is just for fun, I could not give it a rating, but the parameter file is quite fast, and even if the image brings no enjoyment at all, little effort will be wasted calculating it. The midget is located on a filament in the vicinity of the East Valley of the large midget on the negative stem of the M-set. To see the original midget in its full glory, bring up the 'Z' screen, change real(p1) to 45, imag(p1) to zero, real(p2) to 45, and imag(p2) to zero. Then go directly to the <f6> screen and change the x-magnitude to 1 and the skew angle to zero. Strike the <enter> key twice. You will find that the true midget is really quite attractive, with its ring of 8 parading elephants. Too bad I spoiled it. What I did was picture the midget from an oblique angle in the four-dimensional body of the Julibrot. The stretching and skew- ing was necessary to undo the natural distortion that results when Julibrot elements are sliced at slight angles. I named the image "The Joker Laughs". The Joker has always been one of my favorite villians in the Batman series. And the cal- culation time of under 2 minutes will try no one's patience. As always, the completed image is posted for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A hazy sky which noticeably dimmed the sunshine kept Tuesday from being another perfect 82F 28C day here at Fractal Central. The fractal cats ignored the weather. They were too busy watch- ing the pigeons scrounging for food on the sidewalk. When the birds flew away, the cats thoughts turned to fun and treats. My day was busier than Monday, but well under control. The next FOTD will appear in 24 hours. Until then, take care, and look for the bright side of dull, drab fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Joker_Laughs { ; time=0:01:56.82-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 center-mag=-0.000000000\ 32727888/-0.00000000015443144/2.437256e+008/1.8621\ /177.600282113802905/56.7502624222490368 params=131/-44/-97/72/-1.7481510383921/0.001201805\ 9621/-1.7481510383921/0.0012018059621 float=y maxiter=15000 inside=0 periodicity=10 colors=000asYlscnpdondgj`dfKabPZZUWUZTPcQKhNFbKAYH\ 5SD5MA6H76B4751705929B4CD6GF8KH9NJBRLDUNFYPGaRIdTK\ hVMkWNmXOoYOqYOsZPt`PubPxePzhQykQymQwnQvlRriRmfRhe\ RcbSZ`SUYSPWTKUTART5OT2MU2JU2HU2FV2CV2AV28VCFQMLMV\ RIdYEncAwi6tlHroSorbmumntjnthotfotcptapt_qtYqsVrsT\ rsRssPssMtsKtsItsGupFumFujEugEvdDvaDvZCvWCvTBwQBwN\ AwKAwH9wF9wQIw_QwiYvjWukUtkSslQrlOqmMpnKpnIooGnoEm\ pClqAkq8jr6jr4kp5kn6kl7kk7ki8kg9kfAkdAlbBlaCl_DlYD\ lXElVFlTGlSGkTGjVFWOlWSiWVeWZbWaZXeWXiSXlPXpLXsIXw\ EXzBUtGRoLOjQLdVJ_ZGVcDPhAKm8FqBJmEMjHPfKScMV_PYXS\ `UVcQYfN_iJblGeoChr9ju6fh8bXAZKCV8EXDDZID`MDbRDdVD\ e_DgdDihDkmDmqDovDpzDqxHqwKqvNruQrtTrsWrrZqo_qm_qk\ _ph_pf_pd_oa_o__oY`nV`nT`nR`mO`mM`mK`mI`iPceVea`gY\ fiVlkTkeRk_PjUOjOMiIKiCJi7Ih9HgAGfBGeCFdDEdEDLmDMl\ CNkBOjAPiAQh8Rg7Sf6Te5Ud4Vc3Vf4Xd4Zb5``Ab_FeYKhWPj\ VUlTZoRcqQhsOmuMrsGwsMzsS } frm:SliceJulibrot2 {; 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|<=9 } END PARAMETER FILE=========================================

1 0

FOTD 14-08-07 (Attack of Fraczilla [5])
by Jim Muth 14 Aug '07

14 Aug '07

FOTD -- August 14, 2007 (Rating 5) Fractal visionaries and enthusiasts: Today's image rates only a 5, mostly because we've seen several other images like it over the past several days. And I think this is the third time that I have used the same color palette with only slight changes. The parent fractal was created when 12 parts of Z^(1.02) were subtracted from 12 parts of Z^(0.98) and straight C was added. This parent is a Mandeloid rotated 180 degrees. We have seen quite a few of this type of parent recently, which is another reason why today's image rates only a 5. Today's image is located in the East Valley area of a large quadratic Mandelbrot midget in the chaos on the northwest side of the main bay of the parent fractal. I named the image "Attack of Fraczilla", mostly in honor of Godzilla, who is still my favorite rampaging movie monster. I seem to see a bit of a fractal rampage stirring in the image, which inspired the connection to the king of monsters. There is nothing monstrous about the calculation time of 1-1/2 minutes however. Such a brief time makes running the included parameter file almost a pleasure. An equally pleasing experi- ence is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and see the finished GIF image there. The only greater pleasure I can think of would be to have a fully functional version of Fractint for Windows-XP loaded on my P4-2000mhz machine, with the ability to use arbitrary precision math with type=formula fractals. The Monday weather turned out as near perfect as is ever seen here at Fractal Central. If an increased amount of bad weather is a sign of global warming, we have nothing to worry about here in Pennsylvania. Unfortunately, near perfect means no excite- ment, and a continued lack of excitement would soon turn boring. The fractal cats agreed, stretched, and went to sleep. My day was well under control. Tuesday should be the same. The next FOTD is due to appear on Tuesday evening, around 24 hours from now. Until then, take care, and maybe the trendy overhyped global warming disasters will bypass Fractal Central. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Attack_of_Fraczila { ; time=0:01:32.04-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-3.29679033764589500/+3.314214004580537\ 00/903626.7/1/12.5/6.22053270005196168e-010 params=12/0.98/-12/1.02/0/1000/0/0 float=y maxiter=4000 inside=0 logmap=131 periodicity=10 colors=000B58C69D7AE8BF9CGADHBEICFJDGKEHLFIMGJOILQ\ KNSMPUORWQT`VYcY`f`cicflfinhkpjmrlopkmnimiehc`cYWZ\ SSVMNQGILADG49CZDBlLAvQ9zX9rTDpIGbBJT6M72X00fF4kVA\ sjFs`UsdZkhbpe_scTp`MfZKXWIXUGaSEfPBfN9fK7fI5fF3fD\ 1fB0aE4XH8XKCXNHXPLYSP`VUsYYf`aibeldcseasf_kgYkhXj\ iVsjTjlRjmPjnOioMspKiqIirHinDjkAkg6ld3l`QLaQNbQPcQ\ RcQTdQVeQXfQZfQ_fSVfURfVMfXIfYDf_9f`5ZX8RTBJPEBMHC\ NICOICPICQICQICRICSICTICUICUIFVKIWMKWNNXPPXQSYSUZU\ _ZVd_Xi_Yn`_raavabvbdvbevebvg_viYvkVvmTvkPvjMvhJvg\ GvfDvdAvc7vb4v`1v_0vZ0v_1v`6vaBvbGvcLvdQveVvf_vgdv\ hivhnvgovgovhovhpripnipejqdjqbkq`krZlrXlrVmsTmsRns\ QnsTofvoUvpIvpFvqCvq9vr6vr4vs1vs0vt0vt0vu0vu0vu3vu\ 6vu9vuCvuFvuIvuLvuOvuPvuPvuPvuPvuPvuPvuPvuPvuOvuOv\ uOruNnuNiuNduM_uMVuMQuLLuLKuLNuJPuIRuGTuFVuDXuC_uB\ au9cu8eu6gu5iu4ju5ju6ju7ju8ku9kuAkuAkuBluCluDluElu\ FluFjuHhuIfuJduLbuMauN_uP } 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=========================================

1 0

FractInt for Windows (beta 4) -- open for testing
by Richard 13 Aug '07

13 Aug '07

Welcome to the FractInt Makeover! For those of you on the fractint list that may not have heard, I've been overhauling the FractInt source base to move it out of the 16-bit DOS world. Things have been progressing nicely and I'm now at a point where I think widespread testing would be helpful. Download and install beta 4 of FractInt for Windows: <http://tinyurl.com/26dvd7> I've just resubscribed to the fractint list so you can send bug reports to me or to the list. If you have any doubt, just send any bugs to me. A memory dump file will be produced upon a crash, but that shouldn't be happening anymore :-). This is what I would call "Phase I" of the overhaul. It is a migration of the existing DOS source base to a 32-bit Windows application. The user interface looks and acts like DOS because it is just a port of the DOS ui. A minimal amount of "Windows-ification" has been done, but you'll notice a lack of normal Windows things like a menu bar, context menu, paying attention to the mouse, dialog boxes, etc. The next phase will be to backfill these changes into the X Window System version to make all these features available to xfractint. Once that is tested, the beta will be over and a new release made. Known Issues There is no sound output support. There is no mouse support. Panning and zooming is by keyboard only. Video modes with pixel dimensions other than 4/3 aspect ratio assume non-square pixels. The images all render fine, but they appear stretched or squashed. The choice of resolutions in fractint.cfg reflect this. With debugflag=10000, error messages are reported for disk video mode when: start fractint, pick any disk video mode (e.g. 320x200), let it render, wait for completion, then go to the <v> screen, change 320 to 32, submit it. Without the debugflag settings, FractInt for Windows will most likely crash. This problem is present in the DOS fractint and not a result of the port. There are a few gaps in functionality associated with fractal types that were computed via assembly language, but these were mostly integer versions of some of the more common fractal types. If you encounter this situation a message will be displayed informing you that you should switch to floating-point for a useful image. -- "The Direct3D Graphics Pipeline" -- DirectX 9 draft available for download <http://www.xmission.com/~legalize/book/download/index.html> Legalize Adulthood! <http://blogs.xmission.com/legalize/>

11 73

FOTD 13-08-07 (Mainstream Fractal [7])
by Jim Muth 12 Aug '07

12 Aug '07

FOTD -- August 13, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's image uses a bit of fractal trickery to make its point. Instead of the usual blank black inside and outside equal- iteration bands, the image was rendered with the inside set to 'bof61' and the outside set to 'real'. The generating formula subtracts 250 parts of Z^(-0.9) from 250 parts of Z^(-1.1) and adds straight C to create a parent fractal that resembles the Mandelbrot set fairly closely, but has sausage-shaped holes at the end of its filaments. The greatest surprise is the empty triangle that appears where East Valley would normally be found. Today's image is located on the outside the of southern shore line of this triangle. I rated the image at a 7 rather reluctantly. The colors are a bit too busy for maximum effect. The name "Mainstream Fractal" has ho connection at all to the image. It's simply the first thing I could think of. The image is a rather slow one, with a calculation time of over 18 minutes on the fireball P4-2000, and well over one hour on the old P200 machine. But calculation will be no issue for those who view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Sunday was spoiled here at Fractal Central when the temperature reached a high of 90F 32C. But if the humidity had been higher, it would have been worse. The fractal cats must have agreed, for they seemed totally satisfied with their life of perpetual indoor confinement. My day was spent recovering from Saturday's outing. The next in the near endless series of FOTD fractal images will appear in 24 hours. Until then, take care, and step lightly. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mainstream_Fractal { ; time=0:18:18.07-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+21.44692078468248/-0.000630261989078/\ 1.042898e+009/1/-80/0.0150935738509659703 params=250/-1.1/-250/-0.9/0/0/0/0 float=y maxiter=12000 inside=bof61 outside=real logmap=1274 periodicity=10 mathtolerance=0.05/1 colors=000000WALW9LV8LV7Ld_mcZmaYm`Ym_XmYWmXVmWUmU\ TmTSmSRmQQmPPmOOmMNmLMmKLmJLmXebK1gI2hH2hG2hE2hD2h\ C2hB2h93h83h73h53h43h33h23h65gA7fE9fIBeMDePFdTHcXJ\ c`LbdNbhPakQahUceXdc`e`cfZfgWjhTmiRqjOtkMwlQvkTukW\ tkZskarkdqkgpjjojmnjpmjsljvkjykjxlhxlfxmexmcxnbxn`\ wo_woYwpXwpVwpTwqSwqQvrPvrNvsMvsKvtJvtHvtGusFtrEsq\ EzjzroDqnCpmBomBolAnkAmj9li8kh8kg7jg7if6he5hd5gc4f\ b4ea3ea3b_4_Y5XW6UU7RS8OQ9LOAIMBFKCCID9GE6EF3CG0BH\ 1EK2HM2KP3MR3PT4SW5UY5X`6_b6ad7`c7_c7_c7Zc7hc7tc7S\ c7Cc8Wc8Wc8Vc8Uc8Ub8Tb8Tb8Sb9Rb9Rb9Qb9Qb9Pb9Ob9Ob9\ Nb9NbFK`LIZQGXWDV`BTf9Rk7PjCLjGIiKEiPBhT7hX4h`1iZ3\ zm5jX6jW8kV9z`BlTCzSEzRFzQHzPInOKoNLoMNpLOpKQqJRqI\ TrHUrG0sFXsEAtD_tCKuBbuAUv9ev8cv7hu8mt9ftAusAdrBzr\ CbqDzqDapEzoF_oFznGYmHvmIWlIrlJVkKmjLTjLhiMRhNchNQ\ gOZgPOfQUeQMeRPdSKdSKcRLcQLbPLbOLaNLaMLaLL`KL`JL_J\ L_IL_HLZGLZFLYELYDLXCLXBL } 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=========================================

1 0

13-08-07 (Mainstream Fractal [7])
by Jim Muth 12 Aug '07

12 Aug '07

FOTD -- August 13, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's image uses a bit of fractal trickery to make its point. Instead of the usual blank black inside and outside equal- iteration bands, the image was rendered with the inside set to 'bof61' and the outside set to 'real'. The generating formula subtracts 250 parts of Z^(-0.9) from 250 parts of Z^(-1.1) and adds straight C to create a parent fractal that resembles the Mandelbrot set fairly closely, but has sausage-shaped holes at the end of its filaments. The greatest surprise is the empty triangle that appears where East Valley would normally be found. Today's image is located on the outside the of southern shore line of this triangle. I rated the image at a 7 rather reluctantly. The colors are a bit too busy for maximum effect. The name "Mainstream Fractal" has ho connection at all to the image. It's simply the first thing I could think of. The image is a rather slow one, with a calculation time of over 18 minutes on the fireball P4-2000, and well over one hour on the old P200 machine. But calculation will be no issue for those who view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Sunday was spoiled here at Fractal Central when the temperature reached a high of 90F 32C. But if the humidity had been higher, it would have been worse. The fractal cats must have agreed, for they seemed totally satisfied with their life of perpetual indoor confinement. My day was spent recovering from Saturday's outing. The next in the near endless series of FOTD fractal images will appear in 24 hours. Until then, take care, and step lightly. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mainstream_Fractal { ; time=0:18:18.07-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+21.44692078468248/-0.000630261989078/\ 1.042898e+009/1/-80/0.0150935738509659703 params=250/-1.1/-250/-0.9/0/0/0/0 float=y maxiter=12000 inside=bof61 outside=real logmap=1274 periodicity=10 mathtolerance=0.05/1 colors=000000WALW9LV8LV7Ld_mcZmaYm`Ym_XmYWmXVmWUmU\ TmTSmSRmQQmPPmOOmMNmLMmKLmJLmXebK1gI2hH2hG2hE2hD2h\ C2hB2h93h83h73h53h43h33h23h65gA7fE9fIBeMDePFdTHcXJ\ c`LbdNbhPakQahUceXdc`e`cfZfgWjhTmiRqjOtkMwlQvkTukW\ tkZskarkdqkgpjjojmnjpmjsljvkjykjxlhxlfxmexmcxnbxn`\ wo_woYwpXwpVwpTwqSwqQvrPvrNvsMvsKvtJvtHvtGusFtrEsq\ EzjzroDqnCpmBomBolAnkAmj9li8kh8kg7jg7if6he5hd5gc4f\ b4ea3ea3b_4_Y5XW6UU7RS8OQ9LOAIMBFKCCID9GE6EF3CG0BH\ 1EK2HM2KP3MR3PT4SW5UY5X`6_b6ad7`c7_c7_c7Zc7hc7tc7S\ c7Cc8Wc8Wc8Vc8Uc8Ub8Tb8Tb8Sb9Rb9Rb9Qb9Qb9Pb9Ob9Ob9\ Nb9NbFK`LIZQGXWDV`BTf9Rk7PjCLjGIiKEiPBhT7hX4h`1iZ3\ zm5jX6jW8kV9z`BlTCzSEzRFzQHzPInOKoNLoMNpLOpKQqJRqI\ TrHUrG0sFXsEAtD_tCKuBbuAUv9ev8cv7hu8mt9ftAusAdrBzr\ CbqDzqDapEzoF_oFznGYmHvmIWlIrlJVkKmjLTjLhiMRhNchNQ\ gOZgPOfQUeQMeRPdSKdSKcRLcQLbPLbOLaNLaMLaLL`KL`JL_J\ L_IL_HLZGLZFLYELYDLXCLXBL } 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=========================================

1 0

FOTD 12-08-07 (Straight Forward [9])
by Jim Muth 12 Aug '07

12 Aug '07

FOTD -- August 12, 2007 (Rating 9) Fractal visionaries and enthusiasts: It's nice to escape the endless spirals that fill so many fractals. In today's image we escape them with a vengeance. There are no spirals in today's image. In fact there are no curved elements at all. Some of the elements do have jagged edges, but the overall shapes radiate from the central midget straight as an arrow. In recognition of all this straightness, I named today's image "Straight Forward". While I was coloring the image, I had an attack of serendipity. The colors flashed onto the screen ready-to-go, complete with the bright white band. I needed to tweak only about 10 color registers to create today's outstandingly moody color palette. The colors are what raises the rating to a superior 9. And it is an honest 9, not a typing error like the 9 I typed by mistake three days ago, when the image actually rated only a 6. In today's formula I subtracted 20 parts of Z^(1.01) from 20 parts of Z^(0.99) and added C. The 20 parts are necessary because the actual difference between the two exponents is so small that nothing but a blank screen is produced unless the difference is magnified. And even with the difference magnified 20 times, the parent fractal is grossly oversized, making the excessive escape radius of 1000 still necessary. The parent fractal is another Mandeloid rotated 180 degrees, similar to the parent fractals of the past several fractal images. Today's scene is located at the extreme western edge of the chaos, very close to the X-axis. The mathtolerance entry is necessary to assure that the image generates from the parameter file at the correct magnitude. I was sorely tempted to position the midget away from the center of the frame, somewhere near one of the upper 1/3-1/3 points, which would have added additional tension to the scene. If the purpose of the image were artistic, I would have done so, but the FOTD images are for mathematical interest rather than an ex- hibition of art, so I kept the midget centered and in the normal orientation. There is no rule stating that midgets must always be centered however. I might start adding tension to future images by eliminating the all-too-common symmetry around the center of the frame. At just over 1 minute, the calculation time of today's image is quite short. And considering the rating of a 9, it is quite a bargain. It's also a bargain to see the image already rendered on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather was perfect here at Fractal Central on Saturday, a day that would make any outdoor activity a pleasure. The fractal cats' day was near perfect; the FOTD fractal is near perfect, and the commercial work is totally under control. I don't want to tempt fate by saying that everything was totally perfect all day, but it came close. The next FOTD will appear on schedule in 24 hours. Until then, take care, and keep alert. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Straight_Forward { ; time=0:01:15.55-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-10.61536422079259/+0.00000051589073515\ /6.265924e+011/1/-45.877/-0.0058784538 params=20/\ 0.99/-20/1.01/0/1000/0/0 float=y maxiter=15000 inside=0 periodicity=10 mathtolerance=0.05/1 colors=000zsCvqFrpIooLknOhmRdlUajXYi_VhbRgeOfhKekH\ dnTwrWvqYup_uoatndsmfslhrkjrjilhhffgadfWbeR`dLZcGX\ bAVb5TLPR9uEDsGGqHJoJMmKQkMTiNWgPZeQbcSeaTh_VkZWm`\ Ynb_odapecqgerigtjiulkvnmwooxqqysszttruujuucvvWvvP\ wwHwwAwwCouEhtFasHUrJNqKGpJEqHDrGCscMmzVgsRb201mOZ\ gLU`IQVFMPCHI9DC68634HaNG_LFYKEWJDVIDTHCRGBPFAOEAM\ D9KC8JB7HA6F96D85C74A6385364253132011N7bL6_K6YJ5WI\ 5UG5SF4QE4OD4MC3KA3I92G82E72C61A4183162041029Gb8F`\ 8EZ7DX7CV6CT6BR5AP59N48L48J47H36F35D24B24913712501\ 3001RMgLHZGDQA8H548WZqPSfJLWCEL67AswzLPjMNiNLhOJgP\ HfQFeQDdNEbKEaHE_EEZBFX8FW5FU3FT7IVALXEOYHR_KUaOXb\ R_dUbfYeg`hicjj`ggYddWbaT_ZQXWOVTLSQIPNGNKDKHAHE8F\ B5C82950734D58J6BP7FV9I_AMeBPkDTqEWvFzw0zw0zw0zw0z\ w0zx0zx0VxcVxcVxcVxcVycVydVyfVyzVyzVzzVzzVzzVzzVzz\ VzzUzzUzzUzzUzzUmkTkiTigTfdTdbTa`T_ZSYXSVVSTTSQQSO\ ORMMRJKRHIREGRCERACPBEOCF } 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=========================================

1 0

FOTD 11-08-07 (Optical Collusion [7])
by Jim Muth 10 Aug '07

10 Aug '07

FOTD -- August 11, 2007 (Rating 7) Fractal visionaries and enthusiasts: As I hinted in yesterday's discussion, I have returned to yes- terday's parent fractal for another investigation. Yesterday we examined the angular chaos on the southwestern edge of the debris field surrounding main bay of the Mandeloid. We came up with a superior 9-rated image. Today we examine a chaotic spiral in the northern edge of the field and find an image that rates a solid 7. In today's image I re-used the color palette from yesterday's image, making only a few changes. The colors do not work quite as well in today's image, but they still work well enough to bring the image up to FOTD standards. I named the image "Optical Collusion". No, there is no evil dark cabal secretly plotting to take over the world; it's simply a matter of word play. When I stare at the image, the rings of greyish colors surrounding the midget appear to be spirals, even though I know the colors are actually arranged in circles. It's all an optical illusion caused by the inward spiralling fractal elements. The calculation time of the included paramemer file is a speedy 1-2/3 minutes on the fireball P4-2000mhz unit. Even on the slow P1-200mhz machine, the image will finish in under 10 minutes. But calculation can be boring, so for convenience the image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Plentiful sunshine, lower humidity, azure blue skies, puffy cumulus clouds, a fresh breeze and a temperature of 82F 28C made Friday quite pleasant here at Fractal Central. The iterative cats must have agreed. They spent an inordinate amount of time gazing through the large front window at the television show constantly passing by outside. Unfortunately, it looks like their escape radius will be permanently limited to inside. I spent my day trying to wrap up the work, hoping F.L. and I can manage another pleasant day in the great Pennsylvania outdoors on Saturday. The next FOTD will likely appear in 24 hours. If not, expect it in 48 hours. Until next time, take care, and fractal programs may come and go, but fractals are eternal. (However I sometimes wonder whether fractals are actually mental constructs, which cease to exist when no one is actively thinking of them.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Optical_Collusion { ; time=0:01:41.77-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.20376183193965930/+4.811244508790960\ 00/3.349452e+008/1/140/0.000846907268196465945 params=12/0.98/-12/1.02/0/1000/0/0 float=y maxiter=2500 inside=0 logmap=192 periodicity=10 colors=000NIYQLZTO_WR`ZUaaXce`gidkmhoqmstpvrntmjog\ eja`eWXaQSXKNSEIN8EJLIIYMHmUGzbGsUKfNNUGQKBTB7c23m\ J9rZGznMzdazhgrllwiizgawdUmbRc_OcYLhWJmTGmREmOCmMA\ mJ8mH6mF4hI9cLDcOIcROcTTdWYgZcjahmdmpfrshpzimzjjrk\ grleqmbzn_qpXqqUqrTpsRztPpuNpvMprIqoFrkBsh8sdVS`OU\ XLWTLYOG_PGaQGcRGeWGfWNa`UYj_TjfPjlKjsGjyCbzFVnINd\ LFROGSPGTPGUPGVPGVPGWPGXPGYPGZPGZPJ_RM`TO`URaWTaXW\ bZYc`ccahdcmddrefvfhzfizgkzglzjizlfzndzpazz_zzWzzT\ zzQzlNzkKziHzeEzYBzR8zJ5zP2zV8zWDzaIzeNzhSziXzjazk\ fzlkzmpzmuzlvzlvzmvzmwvnwrnwioxhoxfpxdpybqy`qyZrzX\ rzVszUszXtmzt`zuPzuMzvJzvGzwDzwBzx8zx5zy2zy0zz4zz7\ zzAzzDzzGzzJzzMzzPzzSzzVzzWzzWzzWzzWzzWzzWzzWzzWzz\ VzzVzzVvzUrzUmzUhzTczTZzTUzSPzSOzSRzQTzPVzNXzMZzK`\ zJczIezGgzFizDkzCmzBnzCnzDnzEnzFozGozHozHozIpzJpzK\ pzLpzMpzMnzOlzPjzQhzSfzTezUczWazX_zYYz_Xz`VzaTzcRz\ dPzeOzfWzeczdczdczcczcczc } 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=========================================

1 0

FOTD 10-08-07 (Infinite Zigging [9])
by Jim Muth 10 Aug '07

10 Aug '07

FOTD -- August 10, 2007 (Rating 9) Fractal visionaries and enthusiasts: Today's image completes what yesterday's image tried to do. It comes from a parent fractal that closely resembles yesterday's parent. Today's parent is much smaller however, and has much more chaotic detail surrounding the main bay. The scene of today's image is at the very western edge of the detail on the southwestern side of the main bay. And yes, the slight bit of stretching in the horizontal direction is intentional. It gives the image a better overall composition. The parent fractal was generated when I subtracted 12 parts of Z^(1.02) from 12 parts of Z^(0.98) and added C. At first glance this parent appears to have even more potential than yester- day's. It has so much potential in fact that I might spend a few more days exploring it. I rated today's image at a very superior 9 I am quite satisfied with the neutral color palette, which really brings out the zig- zagging features in the foreground. The name "Infinite Zigging" came about when I pondered the fact that one could dive into the image forever without coming to the end. How could you come to an end when there is no end? Of course, the apparent infinity is actually only a half-infinity, for the image is without limit in only one direction. An extra bonus is the fireball calculation time of just under 28 seconds. Even on the worn-out old P200 machine, the image would finish in under 3 minutes. But why bother with calculation when the completed image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it may be viewed and enjoyed at leisure. A sunny morning here at Fractal Central on Thursday gave way to a cloudy afternoon, but the rain did not begin until night. The clouds held the temperature to 84F 29C, though the high humidity still made it feel oppressive. The fractal cats had an uneventful day of sleeping and sitting in the window, watching the television show beyond. Except for the better-than-expected FOTD, my day was uneventful also. The next in the apparently endless series of FOTD's will appear in 24 hours. Until then take care, and no one is more surprised than me at how long the FOTD has continued. When I started it on the Fractal Art list in 1997, I intended to keep it going only a week or two. It has now become almost a vocation. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Infinite_Zigging { ; time=0:00:27.90-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-5.79334912003784/-1.199475920319244/\ 8893.701/1.0776/15/6.33650498044202592e-009 params=12/0.98/-12/1.02/0/1000/0/0 float=y maxiter=1000 inside=0 logmap=39 periodicity=10 colors=000UP_YTaaXce`gidkmhoqmstpvrntmjogeja`eWXaQ\ SXKNSEIN8EJLIIYMHmUGzbGsUKfNNUGQKBTB7c23mJ9rZFznKz\ dZzhcrlgwidzgYwdRmbPc_NcYLhWJmTGmREmOCmMAmJ8mH6mF4\ hI9cLDcOHcRMcTQdWUgZZzabmdfpfjshhzifzjdrkbrlaqm_zn\ YqpWqqUqrTpsRztPpuNpvMprIqoFrkBsh8sdVSeVUfVWgVYgV_\ hVaiVcjVejVfjXajZYj_TjaPjbKjdGjeCbaFVYINULFROGSPGT\ PGUPGVPGVPGWPGXPGYPGZPGZPJ_RM`TO`URaWTaXWbZYc`ccah\ dcmddrefvfhzfizgkzglzjizlfzndzpazr_zpWzoTzmQzlNzkK\ ziHzhEzgBze8zd5zc2zd8zeDzfIzgNzhSziXzjazkfzlkzmpzm\ uzlvzlvzmvzmwvnwrnwioxhoxfpxdpybqy`qyZrzXrzVszUszX\ tmzt`zuPzuMzvJzvGzwDzwBzx8zx5zy2zy0zz4zz7zzAzzDzzG\ zzJzzMzzPzzSzzVzzWzzWzzWzzWzzWzzWzzWzzWzzVzzVzzVvz\ UrzUmzUhzTczTZzTUzSPzSOzSRzQTzPVzNXzMZzK`zJczIezGg\ zFizDkzCmzBnzCnzDnzEnzFozGozHozHozIpzJpzKpzLpzMpzM\ nzOlzPjzQhzSfzTezUczWazX_zYYz_Xz`VzaTzcRzdPzeOzfWz\ eczdjzdrzcyzcizSVzGMz`HzW } 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=========================================

1 0

FOTD 09-08-07 (Inedible Goodies [9])
by Jim Muth 09 Aug '07

09 Aug '07

FOTD -- August 09, 2007 (Rating 6) Fractal visionaries and enthusiasts: The generating formula of today's image subtracts 12 parts of Z^(1.11) from 12 parts of Z^(1.1) then adds straight C. The parent fractal generated by this formula is rather difficult to find. The default screen is totally black. A single outzoom reveals a circular black hole in a blue background. Only when the bailout radius is increased to a very large value, such as today's 100000000, and another outzoom is done, does the com- plete parent come into view. When this parent fractal is finally found, it roughly resembles the Mandeloid produced by the formula (-Z)^(1.1)+C, when it has been rotated 180 degrees. This parent has X-axis symmetry, which is interesting, but the most unusual thing about it is an obvious midget deep in the chaos on the northwest (and south- west) shores of the main bay. This midget is quite unusual. At first glance it appears to be non-critical, but a closer examination shows that it contains critically perfect sub-midgets. Today's scene is located deep in what appears to be an East Valley of the strange midget. I named the image "Inedible Goodies". Fractals might be 'good', but they are definitely inedible. I rated it at a 6. There is something about the coloring that leaves me unsatisfied. The calculation time of 5-3/4 minutes is fast enough to prevent boredom. The image may also be seen on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A heavy thunder storm Tuesday night did not leave things any cooler here at Fractal Central on Wednesday morning. The day's high temperature of 95F 35C made outdoor life unpleasant for both man and cat. And speaking of cats, the fractal ones kept themselves cool under the air conditioner. Nicholas took a few nibbles at the tray of fresh green cat-grass, then returned to stretch out in the cool draft. My day was acceptable. The day's fractal could have been a little better, but you can't have everything. The next FOTD is scheduled in 24 hours. Until then, take care, and don't get fractal indigestion. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Inedible_Goodies { ; time=0:05:46.80-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-128.183733496438/+84.57447940128591/\ 927423.9/1/100/6.34389398990811704e-005 params=12/1.1/-12/1.11/0/100000000/0/0 float=y maxiter=6000 inside=0 logmap=659 periodicity=10 colors=0000Pe0Qe0Rf0Sf0Tg0Uf0Vg0Wg0Xh0Yi0Zk0_h0`i0\ ck0fm0hk0lj0pj0rh0oe0l_0gU0aN0XG0TB0Q40N00L00J00G0\ 0F00B20722422022422722B22F22G22I2BKBKKKSLS_P__Sg_V\ ngYvn`zvdzygzwjztnzrqzqtzkwzezz_zzUzzUzzUzzUzzUzzU\ zzUzzUzzUzzUzzQzzYzzeyzmyzpwvrwqtwmwwhzwdzw_zwVzwQ\ zwNzwLzwNzyKzyIzzGvzFqzDmzBjz9ez7`z5Wz4Sz2Nz0Iz0Fz\ 09z04z00z00z00z00z00z0BzDNzPYz_hwjrvtztzzqzynzvkzt\ hzqezpbzm_zkWzhUzgQzePzbLz`IzYFzWBzU7zS4yP0yN0yK0y\ I0yG0yN0vS0tY0qb0ph0mm0kq0jw0gz0ez0bz0`z0_z4SzDKtN\ BmV2db0fc0gb2ga5ia9j`Dj`GjbKmbNmbQocUpcWpc_pebrLeh\ IWpR4pPgp`gp`ep_ep`enjh_rkLzn5zqKzrUzrbzrkzrvzrzzr\ zzrzn_zzpKzKzzkzzhzzgzzdzzbzy_zyWzyVzySzyQzyNyyL__\ IvwFtwDrw9qw7__4nw2pt0qr0rp0tn0W_07LDIQNQVV__bgdjp\ hqwmyzqzzpwztnzygzzYzzPzzGzz5zz0zz0zz0zz0zz0zz0zz0\ zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz\ 0zz0yz0tz0pz0kz2DzG5zF0zF } 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=========================================

1 0

Formula initialization
by David M Fisher 08 Aug '07

08 Aug '07

I was mousing around the DOS fractint formula screen and found an interesting listing which appears to have an error. I don't know enough to be sure but here is what I have noticed: Formulas <chip>, <hopalong>, <quadruptwo>, & <threeply> are all never init'ed. The information page (F2 with the formula highlighted) states setting z(0)=y(0)=0: with a colon at the end of the line for initialization. All of the above formulas on the <z screen> show a semi-colon at the end of the line. Does this make a difference? Since I run DOS I don't have all the fancy cut and paste stuff to rewrite and test so I haven't done that yet to find out if there is a difference. Just noticed it when playing around, and thought I'd ask the programers. Thanks for your time. David M Fisher

4 3