From: "Jonathan Osuch" Subject: Re: (fractint) Bug report & truecolor. Date: 01 Oct 2000 07:09:48 -0500 >>The passes= parameter is forced to passes=1 for any resolution over >>2048x2048. Or, at least it's supposed to be. Floating point is also >>forced. > This isn't true. If you are forcing passes=t with a resolution greater than 2048x2048, please tell me how you are doing it. I can't do it on my machine, but I'm too familiar with the code and don't often think outside-the-box. > Also, since even a 32768x256 strip of the image can fit in a > modern machine's RAM easily, even the existing system should allow guessing > in truly "disk" disk-video -- except if the image strip affected on a single > line of the first pass won't fit in RAM. Machine memory isn't the issue here. The problem is that the tesseral, boundary tracing, and solid guessing routines use a local array of size 2048, and therefore break with resolutions above 2048. Which is why passes=1 is forced. Jonathan Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Iain G. Stirling" Subject: (fractint) PARS: outside=fmod Date: 01 Oct 2000 16:41:12 +0100 Hello all, For those of you who follow the developer's versions of Fractint, here is a little parameter file which shows what the outside=fmod option, added in the latest developer's release (20.1.0), can do. Or at least, it shows what I can make it do - I'm sure those who are more artistic than me can make something alot better... Iain. -------------- Enclosure number 1 ---------------- outside_fmod1 { ; Test of outside=fmod with 'mod' bailout ; Iain G. Stirling ; 5:16.48 at 1024 x 768 on P133 reset=2001 type=julia passes=1 corners=0.19279681/0.31113281/0.512317611/0.601069611 params=-0.73875882455701181/0.1409069307481326 float=y maxiter=120 inside=fmod proximity=0.0075 outside=fmod colors=zzz<254>000 } outside_fmod2 { ; Test of outside=fmod with 'real' bailout ; Iain G. Stirling ; 0:14.61 at 1024 x 768 on P133 reset=2001 type=mandel passes=1 corners=-5.94/4.94/-4.08/4.08 params=0/0 float=y maxiter=120 bailout=100 bailoutest=real inside=fmod proximity=100 outside=fmod colors=000257<17>112111111<3>000zzz<88>eeNeeNddM<3>ccKK`h<17>CWdCVdBVd<1\ 12>267 } outside_fmod3 { ; Test of outside=fmod with 'imag' bailout ; Iain G. Stirling ; 0:26.19 at 1024 x 768 on P133 reset=2001 type=julia4 passes=1 corners=-2/2/-1.5/1.5 params=0.027272727272727251/0.81218592964824088 float=y maxiter=20 bailout=1000 bailoutest=imag inside=fmod proximity=0.1 outside=fmod colors=5FK555<3>SSSYYYccc<3>zzz<103>CWdCVdBVd<137>000 } outside_fmod4 { ; Test of outside=fmod with 'or' bailout ; Iain G. Stirling ; 5:38.89 at 1024 x 768 on P133 reset=2001 type=phoenix passes=1 center-mag=0.0209813/0.696859/3.464317/0.9999 params=0.56667/-0.5/0 maxiter=75 bailoutest=or inside=fmod proximity=0.1 outside=fmod colors=zzz<114>CWdCVdBVd<137>000 } outside_fmod5 { ; test of outside=fmod with 'manh' bailoutest ; Iain G. Stirling ; 6:13.11 at 1024 x 768 on P133 reset=2001 type=julia passes=1 center-mag=0.456426/0.227638/10.87824 params=0.3/0.02 float=y maxiter=200 bailoutest=manh inside=fmod proximity=0.07 outside=fmod colors=zzz<254>000 } Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Jim Shaffer, Jr." Subject: Re: (fractint) Linux version of Fractint? Date: 01 Oct 2000 16:03:53 -0400 > I was a Fractint fanatic when I was running DOS, many moons ago. Since leaving > DOS behind and moving to Linux a number of years ago, I've not had a > fractalling fix; the duotone blue/black fractals that xfractint provides in 32 > bpp colour are a non-starter. You should be able to start a second X server in 8-bit mode on another virtual console and run fractint on that. It shouldn't need an outrageous amount of memory because you don't need to run a window manager on it unless you really want to. -- "[W]hether or not [the Philadelphia Experiment] happened in 1943 is not relevant. It is, for us, like the 'flying saucer' a gedankenexperiment to get us to the next step in post-Einsteinian unified field theory." -Dr. Jack Sarfatti, in http://stardrive.org/Jack/algebra.pdf Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 02-10-00 (For All Eternity [7]) Date: 02 Oct 2000 01:01:04 -0400 (EDT) FOTD -- October 02, 2000 (Rating 7) Fractal visionaries and enthusiasts: It was another rushed and hectic day here at Fractal Central, but despite the lack of time, I managed to find a fractal image worthy of being named FOTD for October 2. The expression 0.1Z^(-100)-10(1/Z)+C was iterated by the M-Mix4 formula to produce the fractal in which today's decorative midget lies. I named the picture "For All Eternity" when, while studying the scene, I had the thought that this midget, which almost certainly has never before been seen, always has existed, and always will exist. I rated the image a 7, mostly because I rather admire the yellowish string of features that outlines the pattern around the midget. With a draw time of almost 8 minutes, the parameter file is slow enough to make a download of the image the more efficient way of viewing the eternal scene. The image may be retrieved from: or from: With a temperature of 71F (22C), the fractal weather today was perfect for cats. The fractal cats however enjoyed far too little time outdoors. A can of tuna this evening eased their exercise frustration. Well, I see it's once again time to shut down the fractal shoppe and call it a day. I'll return tomorrow with more goodies but little philosophy, since the continuing rush will still not allow me enough time for a proper ponder. Until then, take care, and where were you when they discovered the Mandelbrot set? Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ For_All_Eternity { ; time=0:07:56.00 -- SF5 on a P200 reset=2001 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.05124194981011652/0/6.820408e+010 params=1/-100/-100/-1/-0.9/0 float=y maxiter=3000 inside=0 logmap=67 symmetry=xaxis periodicity=10 colors=000DFPPGKSGZcKqjJoqInyyNYoQ7fS<3>AYGBWDBUA<3>\ `mHfrIdaXbMja6x<3>fXmhcjijhjqekwc<3>LnQElN8jK<2>vfz<\ 2>G7M<3>iWSqaUxgV<3>cPjZKnUGrPBvK7z<3>SXtUcsWirRPnM5\ k<3>`6Vc6Rg6Nj6JCB5Y8D`PF<3>mCJp9KTdh<3>fNXiJUmERpAO\ _5F<3>k6Jn6Kq6Ly`l<2>tDSyZR<3>uFNwAMyBE<3>z7Jz6Kz`gy\ IC<3>uBIt9Js7KrC8qADp8HFVh<3>_IXdFUiCRn9OAsb<3>`RSfK\ QmDNjL7oDE2r1Ka8aMFX`5<3>oCIRQ3`J9jCFqjH<2>rUJ<2>sXL\ 2YjlZdp_VP`UXaJ_bkicYce3<3>pmIXo_<3>owO`yZ<3>pzN9zG<\ 3>XzJbzKhzKnzL8z6pzDqzGrzJDz0<3>ezElzIlz0<3>pzCqzFrz\ IWze<3>gzVjzSmzQpzNmzJ<2>rzLfz9<3>mzFozHpzIrzKqzG7zY\ <3>WzRazPgzOmzMBzd<3>dzRlzONzn<3>mzR0z_<2>ezOGzL_zLy\ znJzkBzr3zyBzw } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 03-10-00 (Missing Minibrot [6]) Date: 02 Oct 2000 20:51:19 -0400 (EDT) FOTD -- October 03, 2000 (Rating 6) Fractal visionaries and enthusiasts: The good news is that I'm within a few hours of clearing the work backlog; the bad news is that today's FOTD is an extremely slow one. Only the stout-hearted will try to run the parameter file of today's FOTD -- the thing takes almost 13 hours to render. This slowness is a result of my choosing a deep scene that requires arbitrary precision math. But there is no cause for alarm, for in my compassion I have posted the file of the GIF image to the Usenet binary group: alt.binaries.pictures.fractals The image is also available on the Web at the URL: The image is a scene of very large magnitude -- a second-order midget located quite deep in Elephant Valley of the M-set. The midget at the center is virtually invisible, which is why I named the picture "Missing Minibrot". The rating of 6 could have been a 7 had I not made the colors a bit too gaudy. The fractal weather here at Fractal Central was once again perfect today, with partly cloudy skies and a temperature of 74F (23C), which would have pleased the fractal cats had they gotten the chance to go outdoors to enjoy it. The work rush cut my pondering time even more than it cut the cats' outdoor time. But I'll finish the work mess this evening and have more time tomorrow to relax and ponder. And when I ponder, ponderous things sometimes happen. So check back tomorrow, when there's a good chance of finding philosophy. Until then, take care, and be as quiet as a fractal. Jim Muth jamth@mindspring.com START PARAMETER FILE======================================= Missing_Minibrot {; time=12:47:54.18 -- SF5 on a P200 ; Version 2000 Patchlevel 14 reset=2000 type=mandel passes=1 center-mag=0.2505307373109899737584556/-1.9531207776\ 1045477871e-5/3.607446e+020/1/-57.295/-0.544 params=0/0 float=y maxiter=50000 bailout=25 inside=0 symmetry=none periodicity=10 sound=off colors=000n53p53s51u51u51w60zB0zD0<2>zQ0zV0zX0zQ0zJ0\ uD0p66l53g53c53c53e53e53g51g51g51j51j51l51l50n50n50p\ 60p80p80sB0sD0uD0uF0wH0wH0zJ0zM0zM0zO0zQ0zQ0zS0zV0zV\ 0zX0z_0z_0za0zd3zd8zdCz_HzVLwVQlVQaVQQ_QEaQ6dQHfQQhV\ ajLljClf6la0lX3lV8lVCnVHqVLuVQzSVzS_wSclVgaVlQVrEXs3\ Xs0Xs0_n0_j0_g1_e6acAaaCa_HdXLdVNdQSdNXfL_fJcfHghEjh\ CnhAsh6uj3zj1zj0zl0zl0zl0<2>zf0za0<24>za0<4>za0zd0zd\ 0zd0zf0zf0zf0zh0zh0zh0zl0zj0zh0zd0z_0wV0<3>eD0a80eB0\ gF3lJApM8uQ3zV1zQ0zM3zH8zDCu8Hp5Ll5Ng5Nc5L_6LV8JQBJL\ BHHDHEFEHFELHCNJCQMAVMAXO8_Q6cQ6iS3mV3qX1tY1u_0ua0tb\ 0pd0<3>QM0JH0CD1683058<2>05L05L05L05J05J05H05H05H15E\ 35E66C86CC8CEBAHDAJD8LF8QH8SH6VJ6XM3aO3cO3eQ1gS1lV0n\ V0pX0s_0wa0za0zd0zf1zh3<3>zH3uB3p53l53h53j53l53 } END PARAMETER FILE========================================= Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Faye Sutherland Subject: (fractint) "help" Date: 03 Oct 2000 01:45:05 -0400 Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) "help" Date: 03 Oct 2000 00:51:46 -0500 Faye Sutherland wrote: > > What kind of assistance are you requiring ?? P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Multiple Bogeys" Subject: Re: (fractint) "help" Date: 03 Oct 2000 07:39:31 EDT I'd love to, but you'll have to be a bit more specific. :-) _________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com. Share information about yourself, create your own public profile at http://profiles.msn.com. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 04-10-00 (Pods From Space [8]) Date: 03 Oct 2000 20:39:23 -0400 (EDT) FOTD -- October 04, 2000 (Rating 8) Fractal visionaries and enthusiasts: Today I finally cleared the backup from the week I took off. I celebrated by devoting extra effort to today's fractal image. The formula that was used is once again the MandelbrotMix4; the iterated expression is -1Z^(-11)-1Z^(1.1)+(1/C), an obviously whimsical choice. I puzzled a few minutes before deciding that the picture shows an army of space pods descending on a defenseless Minibrot. These pods are not the ones that take over human bodies; these pods take over Mandelbrot sets. And if the brilliantly illuminated midget at the center of today's scene doesn't get out of the way in a hurry, he'll soon find himself changed into a pod. When I recognized the attacking pods, I named the picture "Pods From Space". After all, space is the only place such pods could possibly be found. I rated the picture a much above average 8, mostly because I wanted to reward myself for the effort I put into the image. I used the passes=b algorithm for today's image. Not only is it the fastest, at least in this image, but it is by far the most fun to watch in action. I especially enjoy the way the Mandelbrot outline appears out of nowhere with no hint that it is coming. The parameter file renders in only 54 seconds, and running it is the only way to see the scene being drawn. But although I recommend running the parameter file, the finished GIF image is available as always at: alt.binaries.pictures.fractals and at the URL: The fractal weather today was like mid-summer, with a temperature of 86F (30C) and a hot sun. The fractal cats, who finally had their full day outdoors, approved of the conditions. The philosophy also made good progress this afternoon, as I pondered a topic as deep as the nature of reality, which really is the basic philosophical question. It will take a day or two to organize and write my thoughts, but when the wisdom is ready to enlighten or irritate, nothing will hold it back. And now, after such an active day, I'm exhausted. It's time to shut down the fractal shoppe and call it a day. If I'm lucky I'll find a junky old movie to put on the TV, which will enable me to miss the overblown presidential debate. But there's no debating that I'll be here again tomorrow with perhaps an even better fractal. Until then, take care, and the best fractals are yet to come. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Pods_From_Space { ; time=0:00:54.60 -- SF5 on a P200 reset=2001 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=b center-mag=+2.50163790851569300/+2.32612668523780600\ /72.54889/1/72.5 params=-1/-11/-1/1.1/0/0 float=y maxiter=550 bailout=25 inside=maxiter logmap=14 periodicity=10 colors=000CD4ED4<3>VC4ZC4aC4cC5eC5<2>kM5nP5qR5<2>za5\ I0AL0BO5C<2>XEF_HGbJF<3>jV6lX4l_9<3>fhSekWcm`bod<3>d\ kaej`ej`fk_fl_<3>hmXhmWimWimVimVMmdMmbMmaMmX<4>MmOMm\ MMmK<3>MmE<4>NmRNmUNmW<3>Nme<10>lmVnmUpmT<3>ymQ<10>T\ mOQmONmO<3>CmO<3>QmbUmfXmj_mmumi<3>mmnkmoimpgmqfmr<2\ >PmK<3>ImBHm9Fm7<2>Bm1<3>Qm5hmm<3>rmmummwmm<3>wmiwmh\ wrg<2>wrd_rLCr2Er5Fr8GwB<3>MwMNwOOwRQwURzXSzZ<12>SzX\ SzXSzX<2>SzXSzXRzZ<2>QzdCzV<15>XzHYzHZzG<3>czD<17>kz\ ikzklzl<3>mzsMzIMzDMz8Mz3Oz4Qz40z0zzs } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Gedeon Subject: (fractint) updated web site Date: 04 Oct 2000 09:51:27 -0400 After a very long absence it looks like I am back to creating some images. I put up a new gallery dedicated to the season, and also updated my Chebyshev pages with 24 new images. I invite your visit and I hope you enjoy it. I uploaded a slightly augmented gfp.ufm formula file to the database and made it available at my web site too. It is needed for some of the parameters on the new and updated pages. Gedeon FRACTALS: http://members.nbci.com/gedeonp/fractals.html Last updated: October 4, 2000 Member Infinite Fractal Loop Artist member of Fractal Art Museum Enterprise http://www.crosswinds.net/~fractalis/ PHOTOGRAPHY: http://members.nbci.com/gedeonp/photos.html Last updated: July 10, 2000 Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 05-10-00 (Dingbats [6]) Date: 05 Oct 2000 00:42:58 -0400 (EDT) FOTD -- October 05, 2000 (Rating 6) Fractal visionaries and enthusiasts: I expected to have an easy day today, but an unexpected rush job came in from the Kung-Fu customer, which kept me busy all afternoon. As a result, I had to totally forego the planned philosophical discussion -- and that's reality. But I still managed to find a respectable fractal, which I now present as the FOTD for October 05, 2000. A dingbat is one of those old-fashioned decorative ornaments, often resembling leaves on twisting vines, that in the past were used in printing to mark chapter beginnings, etc. Something about today's image reminds me of one of those ornaments, so I named the picture "Dingbats". The image rates a 6. I cannot give it more than that after spending only 10 minutes locating and coloring the scene. The midget at the center is fully resolved -- the distortion is caused by the exponent of Z, which is 2.01 instead of 2. The image was calculated by the MandelbrotBC formula, which draws scenes in the more remote parts of the infinite hyperspirals created by fractional powers of Z. The render time of 10 minutes makes a download of the GIF image file the wiser choice. That download may be found on Usenet at: alt.binaries.pictures.fractals and on the web at: The fractal weather today was sunny, warm and humid, with a temperature of 88F (31C), which was more like July than October. The fractal cats showed little eagerness to go outdoors in the afternoon heat, which was convenient, as I had little time to let them go out. The philosophy about the nature of reality went nowhere. The day has now ended with a whimper instead of a bang. It's time to shut down the fractal shoppe, comfort the cats, and call it an evening. Until tomorrow, take care, and where did these things we call fractals come from? Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Dingbats { ; time=0:10:46.60 -- SF5 on a P200 reset=2001 type=formula formulafile=branchct.frm formulaname=MandelbrotBC passes=1 center-mag=-0.93122846901060440/+0.08188815727122345\ /1.535833e+009/1/-2.5 params=2.01/0/32/0 float=y maxiter=1800 inside=0 logmap=251 periodicity=10 colors=00000`00`00a00c<2>14h42i71k90lB0nE0n<2>L0sN0t\ Q0tT0vV0xY0y`0za0za0va0sa1na6kaAfaEcaI`aOWaTTaYO<2>a\ kEaoBcqIcqOcsVcsacthctncvvcvzcxz<2>dyzdztfznfzhfz`hz\ VhzOhzIizDiz6iz0kz0<2>kz0ky0it0hn4fh9d`DcVHaSKYRKWVL\ QWNN`OHaQEcQAfO7kO1lO0oO0nO0lO0hQ1dRBcTIaVQ`WYZWdWYl\ VZtT`zRazQczOc<2>zKNtII<3>QD0IB0BA04A00B00B00D00D10E\ 60E92GD4GG<2>97OA4RB1VD0W<2>H0dI0hK0iL0fL0dL0cL0aN0`\ N0ZN0WN0VO1T<3>O7NLARIBVHEZEGaDHdAKi9Ll6Oq4Qt1Rx0Vz0\ Wz0Yz1`z7atDdnIfhOh`VkV`lOfnIhiNhdQi`TiYWkTZkOalKdlH\ hnDkn9nn6qo4ss1vt0yv0zx0zy0yz0tz0oz0lz0hz0cz0`z0Wz0R\ z0Nz0Kz0Gz0Bz09z04z00z00z70zE0<2>yc0vi0tn0nk0hiAafIW\ dTQccK`lKZxLZzNYzOWzQWzRVzTVzVTzWTzYRzZRz`QzaQzcOzdO\ zfNzhNziLzkLznNzqNztNzxOzyOzzOzzOzzQz<3>zRzzRzzRzzTz\ <2>zTzzQzzOzzLzzKzzHzzGz<5>z2zz7zzozznz } frm:MandelbrotBC = { ; Z = Z^E + C e=p1 p=real(p2)+PI q=2*PI*trunc(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|<100 } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Multiple Bogeys" Subject: Re: (fractint) FOTD 05-10-00 (Dingbats [6]) Date: 05 Oct 2000 15:07:13 EDT >I expected to have an easy day today, but an unexpected rush job >came in from the Kung-Fu customer, which kept me busy all >afternoon. "Kung-Fu customer"? Just what exactly do you do for work? :-) _________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com. Share information about yourself, create your own public profile at http://profiles.msn.com. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 06-10-00 (Giant Squid [6]) Date: 05 Oct 2000 20:18:45 EDT FOTD -- October 06, 2000 (Rating 6) Fractal visionaries and enthusiasts: Every time I take hope that the rush is near its end, another job turns up. An unusually busy day today left little time for exploring the world of fractals, so I had to make do with yesterday's leftovers. The result was better than might have been expected. If today's FOTD looks a bit familiar, it's not deja-vu. The familiarity can be explained by noting that today's FOTD is an outzoom and recoloring of yesterday's "Dingbats" image. But instead of dingbats, today's image reminds me of the eight tentacles of a giant squid. Yes, I realize that squid have those two long grabber arms in addition to the eight tentacles, but we'll ignore them for now, and stick with the name "Giant Squid". The rating of 6 might be a bit liberal for my usually conservative ratings, but it's a respectable image, one well worth a look. The image itself shows a typical midget that exists in a spiral. What makes this midget different is its mis-shapen West Bud, which has begun to split into two parts. (This splitting can be better seen in yesterday's "Dingbats" image.) With a running time of 6-1/2 minutes, the parameter file is somewhat slow. Relief is available however on Usenet at: alt.binaries.pictures.fractals and on the web at: where the GIF image file has been posted, ready for convenient downloading. The weather today here at Fractal Central was cloudy and damp, though no rain fell. The temperature of 65F (18C) would have been acceptable for the cats if they had been allowed outside unescorted. I'm sorry, philosophy fans, but I had no time to philosophize today. I'll try again tomorrow however. Surely, two days in a row can't be this busy. Until then, take care, and take it easy. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Giant_Squid { ; time=0:06:47.60 -- SF5 on a p200 ; Version 2000 Patchlevel 14 reset=2000 type=formula formulafile=branchct.frm formulaname=MandelbrotBC passes=1 center-mag=-0.93122846897796940/+0.08188815723776659\ /4.886406e+008/1/2.5 params=2.01/0/32/0 float=y maxiter=1200 inside=0 logmap=228 periodicity=10 colors=000aZZaZZ<3>iffliinmmqqqssqssqutrwwrxxszzs<2>\ zzsstlmjhe`b_NWRCPK2LJ7HJCFJGEIJBGN8KT5RZ2Yd0ch0kg0s\ g2zh5zi9<2>zjHzhKsgMkfOdeS_eVVeXOeYJd`LdbLdeNej<2>Pg\ tQgpQhoPhmRhjRjhRjhSleSldTmcUobUo`Up_VrYVrWVuVWuTWxS\ WzRXzOXzNXzMYzJZzIZzG_zK_zN_zP<2>`rZaob`lc`he`ee`dj`\ am`_p`Yu_Wx`Uz_SzaKwaCpa5jb0dc0Zh0Vm0Vq0SpBZnLesInwG\ uzDwzByz9xzAwzBuzCt<2>sEoqFmpHmmIl<2>hKggLecMdbOdaPb\ _Pa<2>WTXVVWVVWSWaPXgNZmJatHbzFczCezGgzKhzOkzSkzXmw_\ mtbmqcmn<4>cmn<4>cmnckncep_`mRWjKRgITjHVlGWm<3>BatAc\ u9dw8gz7hz6kz5kz4mz3pz<3>0wz2uz3tz5tz6sz8sx9quArrCpn\ EplGpiIogKmdLkbNiaQgbTegUclWajX_hXYgYWe_UdZSb_QaaO`a\ MZbPZcRYcSYeVYgXXgZWhZVjaUjaSkcRmeQmgOniNpkMplMjhVee\ dcejZduUczSezRfz<3>KkmJljIohGpeGrcFt`EwZDxWBzU<3>7zK\ 7zHJzGUzE<2>ZzPKzc<2>UzW } frm:MandelbrotBC = { ; Z = Z^E + C e=p1 p=real(p2)+PI q=2*PI*trunc(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|<100 } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) Re: FOTD 05-10-00 -- (Whither the Kung-Fu) Date: 06 Oct 2000 07:39:49 -0400 (EDT) At 03:07 PM 10/5/00 EDT, you wrote: >"Kung-Fu customer"? Just what exactly do you do for work? :-) I do graphic design work. The customer, who runs a Kung-Fu school in the area, needed a newsletter designed and composed in a hurry. When this customer brings a shoe-box filled with photographs and 27 pages of loose copy, and tells me that he needs it turned into an attractive 16-page newsletter by the day after tomorrow, it leaves little time for finding fractals. Jim (master of fractals, not Kung-Fu) Muth jamth@mindspring.com Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Andrew Coppin" Subject: (fractint) Boundery-Trace Algorithm Date: 06 Oct 2000 12:02:02 GMT OK, this stands very little chance of being answered, but hey: if I don't ask, I won't know... Most of fractint's passes options are fairly simple. But I was wondering how passes=b actually works. I've suceeded in finding the section of source code that does it, and then utterly failed to follow it. I just can't understand C, that's all. I was wondering if some kind soul could privatly e-mail me some psuedo code or something... (OK, possibly wishfull thinking here, but it can't hurt to ask!) On a related note... The docs say that passes=g is faster usually faster than passes=b. Is that because for "high detail" areas passes=b basically boild down to passes=1? Just a thought... Thanks. Andrew. PS. Isn't the new orbit length colour option brilliant?! _________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com. Share information about yourself, create your own public profile at http://profiles.msn.com. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Multiple Bogeys" Subject: Re: (fractint) Boundery-Trace Algorithm Date: 06 Oct 2000 08:46:21 EDT The documentation is wrong. passes=b is always faster than passes=g. For proof, note that both will do every pixel that borders a pixel of a different color, but passes=b does no others whereas passes=g runs through a fine grid of points inside areas passes=b does solid. This may reverse at extremely low average iterations per pixel in the image if the passes=b stack management overhead becomes dominant over the actual fractal calculations, but this is unlikely to occur even for the base Mandelbrot image with a reasonably high maxiter set, let alone any *real* fractal. passes=b is, however, the most error-prone passes choice, particularly in certain cases where radial spokes sparsely surround a mini Mandelbrot, and for certain disconnected Julia sets. Passes=1, 2, 3, and d are tied for least error prone. Passes=s is fairly accurate but does funky things to the logmap (still not fixed in 20.1). _________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com. Share information about yourself, create your own public profile at http://profiles.msn.com. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Ralph Feltens Subject: Re: (fractint) updated web site Date: 06 Oct 2000 15:08:25 +0100 Hi Gedeon I can access your autumn gallery (I like the blueish one in the center, gpm-sg302-07) without problems, but following the links to your 3 Cebyshev pages leads to a "member page not found" message. Ralph Gedeon wrote: > After a very long absence it looks like I am back to creating some images. I > put up a new gallery dedicated to the season, and also updated my Chebyshev > pages with 24 new images. I invite your visit and I hope you enjoy it. > Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Gedeon Subject: Re: (fractint) updated web site Date: 06 Oct 2000 09:45:20 -0400 Hi Ralph, Thanks for your letter, and for calling these broken links to my attention. I am sorry you had problems. The links have now been fixed and the pages should be accessible. Thank you for visiting my web site. Gedeon FRACTALS: http://members.nbci.com/gedeonp/fractals.html Last updated: October 4, 2000 Member Infinite Fractal Loop Artist member of Fractal Art Museum Enterprise http://www.crosswinds.net/~fractalis/ PHOTOGRAPHY: http://members.nbci.com/gedeonp/photos.html Last updated: July 10, 2000 ----- Original Message ----- Sent: Friday, October 06, 2000 10:08 AM > Hi Gedeon > > I can access your autumn gallery (I like the blueish one in the center, > gpm-sg302-07) without problems, but following the links to your 3 Cebyshev pages > leads to a "member page not found" message. > > Ralph > > > > Gedeon wrote: > > > After a very long absence it looks like I am back to creating some images. I > > put up a new gallery dedicated to the season, and also updated my Chebyshev > > pages with 24 new images. I invite your visit and I hope you enjoy it. > > > > > -------------------------------------------------------------- > Thanks for using Fractint, The Fractals and Fractint Discussion List > Post Message: fractint@lists.xmission.com > Get Commands: majordomo@lists.xmission.com "help" > Administrator: twegner@fractint.org > Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Ralph Feltens Subject: Re: (fractint) updated web site Date: 06 Oct 2000 17:04:27 +0100 Hi again Sorry, but the links still do not work (at least for me). I purged my browser history table to make sure that the error pages I got weren't due to a cached copy ... Try again ? :-) Ralph Gedeon wrote: > Hi Ralph, > > Thanks for your letter, and for calling these broken links to my attention. > I am sorry you had problems. The links have now been fixed and the pages > should be accessible. Thank you for visiting my web site. > > Gedeon Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Gedeon Subject: Re: (fractint) updated web site Date: 06 Oct 2000 11:46:02 -0400 Hi Ralph, I am very sorry you are continuing to have problems. When I received your first note, I immediately checked the links, and found a spelling error in them. I corrected it, and tried them all. They all worked properly. Having now received your second note, I went back and checked again, and found that I was not even able to get to my index page. This, unfortunately, is an often recurring problem with the server, NBCi (formerly Xoom). No doubt others using this server have experienced similar problems in the course of the past few weeks. The Xoom-NBCi merger has not been a smooth one! Ten minutes later I tried again, this time everything worked just fine, but I am afraid I cannot be sure that everything at NBCi had been fixed. I have been considering moving my web site to another server, but I have been occupied with other things, and decided to wait and see what happens. Surely NBCi is a firm with adequate resources to fix these server problems, I tell myself hopefully. In any event, I am sorry you have had problems, and all I can say at this point is that if you really want to see my Chebyshev pages, as I hope you do, try again later. Regards, Gedeon FRACTALS: http://members.nbci.com/gedeonp/fractals.html Last updated: October 4, 2000 Member Infinite Fractal Loop Artist member of Fractal Art Museum Enterprise http://www.crosswinds.net/~fractalis/ PHOTOGRAPHY: http://members.nbci.com/gedeonp/photos.html Last updated: July 10, 2000 ----- Original Message ----- Sent: Friday, October 06, 2000 12:04 PM > Hi again > > Sorry, but the links still do not work (at least for me). I purged my browser > history table to make sure that the error pages I got weren't due to a cached > copy ... > > Try again ? :-) > > > Ralph > > > > Gedeon wrote: > > > Hi Ralph, > > > > Thanks for your letter, and for calling these broken links to my attention. > > I am sorry you had problems. The links have now been fixed and the pages > > should be accessible. Thank you for visiting my web site. > > > > Gedeon > > > -------------------------------------------------------------- > Thanks for using Fractint, The Fractals and Fractint Discussion List > Post Message: fractint@lists.xmission.com > Get Commands: majordomo@lists.xmission.com "help" > Administrator: twegner@fractint.org > Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Ricardo M. Forno" Subject: RE: (fractint) Boundery-Trace Algorithm Date: 06 Oct 2000 20:21:57 -0300 I dont know the theory behind that, by my experience is that over 90% of the cases passes=g outperforms passes=b. ----- Original Message ----- Sent: Friday, October 06, 2000 9:46 AM > The documentation is wrong. passes=b is always faster than passes=g. For > proof, note that both will do every pixel that borders a pixel of a > different color, but passes=b does no others whereas passes=g runs through a > fine grid of points inside areas passes=b does solid. > > This may reverse at extremely low average iterations per pixel in the image > if the passes=b stack management overhead becomes dominant over the actual > fractal calculations, but this is unlikely to occur even for the base > Mandelbrot image with a reasonably high maxiter set, let alone any *real* > fractal. > > passes=b is, however, the most error-prone passes choice, particularly in > certain cases where radial spokes sparsely surround a mini Mandelbrot, and > for certain disconnected Julia sets. Passes=1, 2, 3, and d are tied for > least error prone. Passes=s is fairly accurate but does funky things to the > logmap (still not fixed in 20.1). > _________________________________________________________________________ > Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com. > > Share information about yourself, create your own public profile at > http://profiles.msn.com. > > > -------------------------------------------------------------- > Thanks for using Fractint, The Fractals and Fractint Discussion List > Post Message: fractint@lists.xmission.com > Get Commands: majordomo@lists.xmission.com "help" > Administrator: twegner@fractint.org > Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 07-10-00 (Boiling Cauldron [7]) Date: 06 Oct 2000 21:09:09 -0400 (EDT) FOTD -- October 07, 2000 (Rating 7) Fractal visionaries and enthusiasts: The non-fractal work is once again under control here at Fractal Central, leaving more time for a proper fractal search. My search today was quickly rewarded with an above average and striking image, well worth a look. The mathematical expression Z^(1.1)-Z^(-1.1)+(1/C) is purely whimsical. As far as I know, it has no special significance except that when iterated by the MandelbrotMix4 formula it produces the expected fractal. The fractal consists of a twisted Mandelbrot set centered at the top edge of the default screen. Today's scene lies in the intricate features along the northwest edge of this set, near the point where a gently curving filament makes an unexpected acute angle and doubles back on itself. When the time to give a name to the picture arrived, I had no hint of what to call it. The name I settled on, "Boiling Cauldron", was more a choice of desperation than a logical choice. I may already have given the same name to an earlier FOTD. I have no handy list available to check which names have already been used. And what harm would come from having a duplicate. Perhaps I should start naming the FOTD's with an Opus number, like is done with the works of composers. Even that would be a task however, for I also have no readily available count of the 3-1/2 years' of FOTD's. But if I started numbering without actually counting, I would start around 1250. Today's image is above average -- neither much above nor slightly above, but rather average above average, which translates to an honest rating of 7. The parameter file renders in 6 minutes -- slow though not overly frustrating. For those who would rather not go through the hassle of running the parameter file, the GIF image file has been posted to the usual two sites: alt.binaries.pictures.fractals and: The fractal weather today was partly cloudy with a temperature of 79F (26C), perfect for the cats, who chased each other around the yard for 1/2 hour before running out of energy and settling down for a snooze on the porch. Well, the cats have long since ended their snooze, and are once again thinking of food. I guess it's time to shut down the fractal shoppe and put the fractal cats' minds to rest by filling their food dishes with their favorite snacks. Until tomorrow, take care, and see you then. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Boiling_Cauldron { ; time=0:06:08.06 -- SF5 on a P200 reset=2001 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.38580613488445680/+2.076060642776320/2\ .459343e+008/1/62.5 params=1/1.1/-1/-1.1/0/0 float=y maxiter=750 inside=0 logmap=115 periodicity=10 colors=000RlzTkzWmzWizVezVdzV_zUZzUVzUUvTQsSOqRKmRIi\ QEgPCdP8`P5Z0ib0`V0RO0HG0AA222400800C00000N0IRHSjKiv\ NtzTzzSzzRzuOskOkbNd`PZ<2>VOOTNKRLERLBPK4NK0<3>FJ0GJ\ 0EN0DR0BV09X08`07d07e05i03m02q00s00v00z00z00s02k44dE\ 5XP8QZAMkDGvFAzH3zODzVKzaTzi_zogvspszvtzzqzzlzzizzZz\ pQzeHzS6zG0z20z00<2>z00z00x20v41u65uA9sDDqFGoGJoKNmM\ QkOTkPXbP_WPbPPgGOk7Nq0Mu0Mz0Mz0Oz0Qv0Ps0Ro0Tk6TiAVe\ DWbJWZMXVQXV<2>GVeCUi8Sm4Rq1Qv0Qz0Pz0Nz0Oz0Mz0Mz0Oz0\ Nz0Qz0Pz6Pz9RzFSvJSuMUqRUmVWkZXg`XddYcgYakZad__XXXUX\ WMXVHZV9ZV1`V0`V0bV0bV0Yb0Yg9YoHWuPXzYXzdWzkUzedzYju\ SsiKuYFuNHqIFkCGk6Gk0MkARkKWkTbkbhkilnorrxuszqszlqzf\ qzcpzYpzSozNozJozdpzvrzsszmpziqzcqxYtxUwxPzxJzwGzwAz\ w6zwCzfHzQLzANz0<3>pz0<2>uz0wz0wz0xz0zz0<2>zz0qz0gzE\ ZzTNzeCzo<2>Yzy<2>uzzuzzuzzszzszzszzszzqzzqzzHzyqzzq\ zzqzzNzmPzsRzz } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Mark Christenson Subject: RE: (fractint) Passes Algorithms Date: 06 Oct 2000 19:51:05 -0700 At 08:21 PM 10/6/00 -0300, Ricardo wrote: > >I dont know the theory behind that, by my experience is that over 90% of the >cases passes=g outperforms passes=b. >----- Original Message ----- >From: Multiple Bogeys > >> The documentation is wrong. passes=b is always faster than passes=g. >>... In my experience the advantage of passes=b/t exists only where the broad color bands comprise a significant percentage of the image. In all other cases I use passes=1, especially where accuracy is required. All "shortcut" methods are error-prone for disconnected sets (e.g. dust Julias), and where thin color bands dominate and iteration counts are low they can slow rendering substantially (all of that algorithmic overhead). Regards, Bud Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Multiple Bogeys" Subject: RE: (fractint) Boundery-Trace Algorithm Date: 07 Oct 2000 11:21:43 EDT It only seems faster, because it gives you a quick preview of the image; it's a psychological thing. I suggest using the timing information on the tab screen for more objective comparisons -- or just considering for a moment that passes=g will calculate every pixel passes=b does, at least in the cases where passes=g doesn't screw up. _________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com. Share information about yourself, create your own public profile at http://profiles.msn.com. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 08-10-00 (An Astral Minibrot [6]) Date: 07 Oct 2000 23:30:10 -0400 (EDT) FOTD -- October 08, 2000 (Rating 6) Fractal visionaries and enthusiasts: Do fractals exist on the astral plane? Of course. Fractals are everywhere, and on the astral plane they exist as real objective objects, not merely as mathematical abstractions. To prove my statement, I have found an image of an astral Minibrot, which I now present as the FOTD for October 8th. The expression that drew the image is -1Z^(-2)-3Z^(-4)+21*(1/C). It was entered totally at random. Of course, some may doubt that this midget originated in another dimension, but it is part of a four-dimensional Julibrot, and the fourth dimension most certainly is another dimension. The pale colors resemble the tints commonly reported as having been observed on the astral plane, and the deep blue background adds just the right heavenly touch. Taking all this evidence into consideration, I came to the conclusion that the midget in today's picture comes straight from a higher world. I named the image "An Astral Minibrot" accordingly, and rated it a marginally better than average 6. The parameter file runs in 8 minutes on a very down-to-earth physical computing machine. It will not run at all on an astral machine. If the 8-minute wait leads to too much impatience, the GIF file of the entire image may be found on the Usenet network at the binary newsgroup: It is also available on the web at: The fractal weather today here at Fractal Central was partly cloudy with a temperature of 60F (15.5C). These conditions pleased the fractal cats, who were outdoors for nearly two hours, romping and resting. The cats are now dozing, and I'm about ready to doze myself. Until tomorrow, when the philosophical emphasis will be on fractal philosophy, take care, and be peaceful. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ An_Astral_Minibrot { ; time=0:07:59.23 -- SF5 on a P200 reset=2001 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.5225568645555446/+0.311077241609439/4.\ 203189e+009/1/97.499 params=-1/-2/-3/-4/20/0 float=y maxiter=1400 inside=0 logmap=159 periodicity=10 colors=000DBFDDGBCJ<3>8CP7CR6CS6CV5CW4CY3C`2Ca2Bc2Ce\ 0Bh0Ci<2>0Bm0Bn0Bm2El6FlAHkFIlJKiONgSOeWPe_QecSchVem\ WfsYfxagzdhzfjwiksiimjjfllYnmSpnMrpItrJvpKynLwmMtkNq\ jOnjPlhQigRheSedTabUZbVXaXU`YTZWPYWLXWJXYMYZPZ<2>eZc\ ghcimcircmmbmmbmh`lb`m``nW_pTYqOXsLWtHWuDUwATx7Ty4Sy\ 1Sx5Tw9UuDUtHWsMWqQWpWXp__nbZneZniZnm`oq`pw`pzanwRns\ PnnOnkOnhNndLnaLnYKnWJnSJnQInPIpOHpNGpLGpLE<2>pICpGB\ pGBpEApEAj14l45l76l86lC6lE6mH7mL7mN7mP7mT7mV7nZ8nb8n\ d8ng8nk8pmApqApuAqxApzBpzBnzDkyEjwFhtGfqHdpI<3>YeNWb\ OVaPTZRRXRQURNSRMQSJPTHOWGLX<3>AEaFLcJQeNVfS`hXei`ij\ elffn`gqTktLnwEpy7rx9rwBswEruGttH<2>usOusRwsSwtVxuXx\ u_yu`yvcyvf<3>zypzyrzzuzzwxxuvxtrxsmypfym`ymVykQziKz\ hGzhAzgDzj<3>NzoPzqRzrUztWzv_zwazxdzy<2>kzzizrhzfczU\ bzH`z5VzQMzhDzzIzv<2>Wzc`zYczQgzJkzCnz7WzXNzHMzMJzT } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 09-10-00 (Mandelbrot's Chariot [6]) Date: 09 Oct 2000 00:58:00 -0400 (EDT) FOTD -- October 09, 2000 (Rating 6) Fractal visionaries and enthusiasts: I had a low energy day today, doing little but lounging around most of the day. But I did manage to muster the energy to find and shape up a striking little fractal scene. Today's fractal image reminded me at once of a flaming chariot wheel, so I named it "Mandelbrot's Chariot". The fiery picture is a scene in the fractal that results from the iteration of the expression -15Z^(-1.5)-1.5Z^(-15)+(1/C). The slightly above average rating of 6 is honestly earned. Requiring only 1 minute to render, the parameter file is fast enough for the most impatient fractalier. But if one minute is still too slow, the pre-rendered GIF image is available on Usenet at: alt.binaries.pictures.fractals and on the Web at: The fractal weather today here at Fractal Central was partly cloudy, with 55F (13C) as a high temperature. These conditions were a bit chilly for the fractal cats, who cut short their several tentative outings into the yard. Until tomorrow, when I'll post my first and perhaps last fractal that rates a perfect 10, take care, and keep posted. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ MandelbrotsChariot { ; time=0:01:07.12 -- SF5 on a p200 reset=2001 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.49964435592604780/+1.59518857437319200\ /1.75916e+011/1/-109.997/-0.004 params=-15/-1.5/-1.5/-15/0/525 float=y maxiter=275 inside=0 logmap=19 periodicity=10 colors=000F0AF0AL0CK1EP2GU3IY4Ib5FgGFtPKzRKzSKziKzfK\ zrZzzczzWzrOzcGzU8zK1z60z00w23r56m79h7E<2>g8Sf8XhFP<\ 2>o_2<3>hP6fM7dK8bH9aFA<3>mVgpZps_x<3>wgkxihykeymb<4\ >jwY<2>azW<3>bzsbzy_zw<3>Ozo<3>TziVzgWzfXzdYzc<3>LzL\ IzGFzCCz79z3<4>bz8<2>tzB<3>bzYYzcUziPzoLzt<3>jzhqzew\ zcszF<3>RzSKzVDzY5z05z05z05ze5z05zejz0jzejz0jzeQzLQz\ zQzLQzzzzLzzzzzLzzz5z0Az5<3>MzHPzKTzO<3>hzcmzhrzmxzs\ zzz5zz<2>ozzzzz<3>zz0<3>zz0oz0<2>5z0<3>5zz<2>5zz_zz<\ 2>wzzzzz<3>zzV<3>zzVwzV<2>_zV<3>_zz<2>_zzmzz<2>zzzzz\ z<3>zzh<4>zzh<2>mzh<3>mzz<2>mzz5zS<3>XzS<3>Xz0<3>Xz0\ <3>5z0<3>5zS<2>5zSJzShzw<3>RzW } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 10-10-00 (The Perfect Fractal [10]) Date: 09 Oct 2000 22:09:58 -0400 (EDT) FOTD -- October 10, 2000 (Rating 10) Fractal visionaries and enthusiasts: For many years I have searched for the perfect fractal, one which I could rate an honest 10. I wrote and discarded one formula after another in my fruitless search, but the perfection I sought always eluded me. It eluded me that is until one day recently, when I realized that I had the perfect fractal on the screen before me. I now offer this perfect fractal to the world in its full 10-rated glory as the FOTD for 10-10-00. The parameter file of this perfect fractal is the fastest of all time, requiring only an incredible 3 seconds to render. The quickness of the parameter file however takes nothing from the worthiness of the image it creates. I named the picture "The Perfect Fractal" because that's what it is. Of course, there is but one perfect fractal, and that fractal is the parent fractal of all fractals -- the simple yet infinitely complex fractal -- the Mandelbrot set. To give the image a little something extra, I rendered the M-set using Fractint's continuous potential coloring method, which produces images as close to true-color as is possible with a mere 256 colors. Since we have the Mandelbrot set already on the screen, this is the perfect time to describe and give the names of its various features. The names I have given to the features are mostly based on common usage, though some names are of my own invention. The Mandelbrot set appears on the screen in its 'normal' orientation. Just as is the case with terrestrial maps, North is up, South is down, West is left, and East is right. The largest open area, which has a vague heart shape, is known as the Main Cardioid. This cardioid is surrounded by roughly circular shapes known as buds. The buds are separated from the Main Cardioid by cusps known as Valleys. The large bud on the west side of the Main Cardioid is West Bud. North Bud and South Bud lie at the north and south edges of the cardioid respectively. Northwest, Northeast, Southwest, and Southeast buds are located on the corresponding sides of the cardioid. The Main Cardioid is cleaved on its east side by East Valley, sometimes called Elephant Valley because of the elephant-like features that appear to be parading out of the valley. The double valley separating the West bud from the Main Cardioid is known as Seahorse Valley. It has been named after the spirals shaped like seahorse tails, which are so prominent in this area. The next valley to the west is known as Seahorse Valley West, or Scepter Valley, because of the scepter-like features found there. The next valley west is Double Scepter Valley, then comes Triple Scepter Valley, and so on to infinity. At the north edge of the cardioid lies North Valley or Triple Spiral Valley. 45 degrees clockwise lies Northeast Valley or Quad Spiral Valley. Northwest Valley lies approximately 45 degrees counterclockwise from North Valley. A similar arrangement of buds and valleys lies along the southern border of the cardioid. The buds, along with all their associated filaments and midgets are known as radicals. The long straight spike shooting out westward to a coordinate of -2 is known as the negative tail. The prominent midget on the negative tail is known as the main midget. As I stated above, these names are the particular names I use. As far as I know, official names have yet to be given to the features of the Mandelbrot set. The classic Mandelbrot set renders in just over 3 seconds from the parameter file. It downloads in a period of time that is many times as long. But for those who choose the download, the GIF image file may be found on Usenet at the binary group: alt.binaries.pictures.fractals and on the Web at Paul Lee's site at: The fractal weather today was downright chilly, with variable clouds and even a few drops of rain. The temperature of 49F (9.5C) was too much for the fractal cats, who asked to come back indoors only 3 minutes after I let them out. Then they scolded me because it was too chilly for them to enjoy the outdoors. Barring an unexpected rush, the fractal philosophy will continue tomorrow, as I investigate something known as the Zexpe fractal in a way you've never seen before. Then I've got all those odd orientations in the Julibrot to describe. Until tomorrow then, take care, and when boredom strikes, rush to your computer to create a fractal. Jim Muth jamth@mindspring.com START PARAMETER FILE======================================= The_PerfectFractal { ; time=0:00:03.32 -- SF5 on a P200 reset=2001 type=mandel passes=1 center-mag=-0.606416/2.22045e-016/0.8503401 params=0/0 float=y maxiter=260 inside=0 logmap=yes potential=255/260/260 periodicity=10 colors=000000dmLdoLcrM<20>iU9jT9jS8kR7kQ7<3>lK4lJ4mI\ 3mH3mG2nE0<47>7Zl6Zm5_n<2>2`q1`s2`r<59>Q7dR7cR6cS6cR\ 5bS4cS5bS5bS5aS5bT6aT6`T6a<36>_CJ_CJ`CI_CI<3>aEGaCFa\ EFaEEaEEaDFbEF<9>`LD`MD_MD<10>YXBYYBXZB<3>XbAXcAXdAX\ eAXfA<3>hjAkkWrmzzoz } END PARAMETER FILE========================================= Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 11-10-00 (A Zexpe Minibrot [7]) Date: 11 Oct 2000 00:13:01 -0400 (EDT) FOTD -- October 11, 2000 (Rating 7) Fractal visionaries and enthusiasts: Today's unusual midget takes us deep into the Zexpe fractal, a fractal that was named and explored by Lee Skinner. The word Zexpe is a contraction of Z exponent Epsilon, or Z^2.718... The formula Z^2.718+C draws a fractal that on the surface looks like a twisted version of the cubic Mandeloid, but inside is entirely different. Unlike the midgets of the Z^2+C Mandelbrot set, which always have the same basic shape, the midgets of the Zexpe fractal can apparently take most any shape whatever. Like all fractals with fractional exponents, the Zexpe fractal is not only infinite within its depths, its surface is infinite as well, taking the shape of an infinite hyperdimensional corkscrew. The MandelbrotBC formula, which drew today's image, calculates the more remote parts of this hypercorkscrew. The BC in the formula name stands for 'branch cuts', which are the discontinuities that, due to the multi-valued nature of the complex log function, must always appear in fractals with fractional exponents. The MandelbrotBC formula moves these branch cuts around as it slices through different parts of the corkscrew. It therefore can produce a great variety of different fractals from the same mathematical expression. The parent fractal of today's scene is a multi-lobed object with a small filament extending from the northernmost bud. The midget in today's picture exists in the spread-out East Valley of a prominent midget on this filament. I named the picture "A Zexpe Minibrot" for the obvious reason, and rated it a 7 because it actually is a rather striking scene. In fact it almost reminds me of a Hubble telescopic view of a planetary nebula. With a render time of 3-1/2 minutes, the parameter file is slow enough to make a download of the image file the better choice. The download may be found at: alt.binaries.pictures.fractals and at: The fractal weather today here at fractal central was cloudy but milder. The temperature of 54F (12C) was just warm enough to satisfy the cats. It's now time to shut down the fractal shoppe for the night and give the cats their late night snack. Until tomorrow, take care, and brace yourself for more fractals. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ A_Zexpe_Minibrot { ; time=0:03:31.02 -- SF5 on a P200 reset=2001 type=formula formulafile=branchct.frm formulaname=MandelbrotBC passes=1 center-mag=+0.37032548119277480/+1.35149200434768100\ /526420/1/67.499 params=2.71828182845905/0/13.4/0 float=y maxiter=3000 inside=0 logmap=81 periodicity=10 colors=000A8F<3>ABIACJADKAEJ9HH8LF<3>4f93k72q51v4<3>\ ETFHMHKFKN8M<3>FNBDR8BV69Z37a1<3>DQSENZGKeHHlKFrUMtd\ SurZvwdwucvpbuibubat<4>QZrNYqKXq<3>AVo<9>Zkf`lecnd<3\ >lta<9>KqZHqZEqZ<3>3pY<3>abgj_jrXl<3>bR_ZQXVPURORPMU\ NKXKI_HHbDGeCFj<3>R9`V7YY6W<3>VBQUCPUDOTEMSFLSGK<8>P\ dGPgGPjF<3>OtE<3>cg_gdekajoZpsWuhYmZ_fUadOcbSe`WgZ_i\ 4<2>kpUoraukZwdW<2>vLO<3>g`EddCYcBSeAMdAIc9Kb8Ma8<3>\ UiZWkdYme_oOaqe<2>gweiyz<3>qzirz5szOtz2<2>wzWxzC<2>z\ zZzz4<3>zzZzz2<3>zzTzz_zzz<3>zzlzzhzz4zzNzzOzzDzzNzz\ XzzA<3>zzTzzXzzazz7zzJzzVzzMzzTzz_zzWzz`zz2zzdzzP<3>\ zzbzzxzzqzzkzzpzzlzzS<2>zzQ } frm:MandelbrotBC = { ; Z = Z^E + C e=p1 p=real(p2)+PI q=2*PI*trunc(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|<100 } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) FOTD 11-10-00 (A Zexpe Minibrot [7]) Date: 11 Oct 2000 01:16:34 -0500 Jim Muth wrote: > > Today's unusual midget takes us deep into > the Zexpe fractal, a fractal that was named > and explored by Lee Skinner. And for those wishing to see a couple more images Jim generated using the Zexpe formula: http://home.att.net/~Paul.N.Lee/FotD/FotD_00-01-09.html http://home.att.net/~Paul.N.Lee/FotD/FotD_00-09-17.html Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Multiple Bogeys" Subject: Re: (fractint) FOTD 11-10-00 (A Zexpe Minibrot [7]) Date: 11 Oct 2000 11:25:16 EDT > http://home.att.net/~Paul.N.Lee/FotD/FotD_00-09-17.html 404 _________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com. Share information about yourself, create your own public profile at http://profiles.msn.com. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: DeBow Freed II PhD Subject: Re: (fractint) FOTD 11-10-00 (A Zexpe Minibrot [7]) Date: 11 Oct 2000 13:41:42 -0500 MY system also sez this is a nonexistent or out-of-date link. I knew I liked Zex, but Zexpe's even better. Multiple Bogeys wrote: > > http://home.att.net/~Paul.N.Lee/FotD/FotD_00-09-17.html > > 404 > _________________________________________________________________________ > Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com. > > Share information about yourself, create your own public profile at > http://profiles.msn.com. > > -------------------------------------------------------------- > Thanks for using Fractint, The Fractals and Fractint Discussion List > Post Message: fractint@lists.xmission.com > Get Commands: majordomo@lists.xmission.com "help" > Administrator: twegner@fractint.org > Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: DeBow Freed II PhD Subject: Re: (fractint) FOTD 11-10-00 (A Zexpe Minibrot [7]) Date: 11 Oct 2000 13:41:42 -0500 MY system also sez this is a nonexistent or out-of-date link. I knew I liked Zex, but Zexpe's even better. Multiple Bogeys wrote: > > http://home.att.net/~Paul.N.Lee/FotD/FotD_00-09-17.html > > 404 > _________________________________________________________________________ > Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com. > > Share information about yourself, create your own public profile at > http://profiles.msn.com. > > -------------------------------------------------------------- > Thanks for using Fractint, The Fractals and Fractint Discussion List > Post Message: fractint@lists.xmission.com > Get Commands: majordomo@lists.xmission.com "help" > Administrator: twegner@fractint.org > Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) FOTD 11-10-00 (A Zexpe Minibrot [7]) Date: 11 Oct 2000 21:50:43 -0500 DeBow Freed II PhD wrote: > > MY system also sez this is a nonexistent or out-of-date link. > > Multiple Bogeys wrote: > > > > > http://home.att.net/~Paul.N.Lee/FotD/FotD_00-09-17.html > > > > 404 > > My mistake, it should have been the prior year's page: http://home.att.net/~Paul.N.Lee/FotD/FotD_99-09-17.html Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 12-10-00 (It's the Pits [7]) Date: 12 Oct 2000 00:43:09 -0400 (EDT) FOTD -- October 12, 2000 (Rating 7) Fractal visionaries and enthusiasts: While studying today's fractal, I had the impression of staring down into a pit. This is why I named the picture "It's the Pits" -- I did not choose the name because the image is unusually bad. In addition to rating a 7, the image is a reasonably fast one, taking only 2-1/2 minutes to render on one of those old-fashioned 200mhz Pentium machines. The scene is that of a tortured midget that exists in the Z^(1.195)+C fractal, at a location well out on the infinite logarithmic spiral. The parent fractal itself is also tortured looking, and well worth a look. Midgets in Mandeloids of such a low order are exceedingly hard to find. I stumbled upon today's midget purely by accident while randomly zooming into unlikely corners of the parent fractal. Though the parameter file is fast, the download of the GIF image file is even faster. That download may be found at: alt.binaries.pictures.fractals and at: The all-important? fractal weather today here at fractal central was perfect. Sunny skies and a temperature of 69F (20.5C) were ideal for the cats, and a slow day gave me time not only to let them outdoors all afternoon, but also to hunt and find those elusive fractals. The armchair philosophy continues on hiatus until I have some- thing worth the effort it takes to write it. But the philosophy will inevitably return. Until that time, the fractals will prosper as I devote my full energies to fractaling. I'll shut down the fractal shoppe at this time, but I'll return in 24 hours with another outstanding fractal and a few words about it. Until then, take care, and fractals are like spirits. We can see pictures of them while awake, but the originals appear only in our dreams. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Its_The_Pits { ; time=0:02:28.74 -- SF5 on a P200 reset=2001 type=formula formulafile=branchct.frm formulaname=MandelbrotBC passes=1 center-mag=-1.43935876863394000/+1.17860135751928400\ /101.2729/1/-99.999 params=1.195/0/53/0 float=y maxiter=10000 inside=0 logmap=39 periodicity=10 colors=0005ie5if4fh2dk4ah4_e5Xb5T_5PX7MU7IS7GO8CL8AI\ 87GBAEEBEGCEIEELGEMICPKCSLCTMCVOCYQB_SBaTBdUBeVBhYAj\ _Ak`AnaAobAk_8iX8fU8dS7`P7YM7VK5TH5PE5<2>H54L58<3>V5\ LY5O`5Qb5Te5Xh5_j5am5do5h<2>w5otBjsHfrMbpQYoVUn`QnbP\ mdMiXSePVaH`Y8dU0iQ0mU0jX0h_1fa4dd5ah8`jBYmEVoHUrISv\ LPxOOzQLzTIzUHzSLzPOzMSzLUyIXxG`wCbvAft7it5kpAm<3>aP\ nYTnUVnQ_n<3>Amo5po1soHiiO_bTPXVEQX8M_CL`HKaLIdPHeTG\ fXEi`BjdAmh8nk7oo5rs4sw2tz1sx7swB<2>srOspSsoVsn_skds\ jhsikshosessdwsbzsazodykfviirekmbmi_oeVr`TtXPwTMxPTy\ TYyVbyYhy`mzdrzfwzizzkxzh<3>izTfzPXzMOzLCzK2zI8zOCzS\ IzVMz_SzbVzf`zj<3>rzyvzzzzz<5>zzz<3>yzzyzzzzxzztzzr<\ 3>zzezzazz_yzXxzTwzQvzOxzQzzTzzUzzXzz_zz`zzbzzezzf<2\ >zzm<3>zzCzz2zz0zzTzzwzzszzozzkzzh<3>zzUzzQzzOzzKzz_\ <3>zzbzzbzzdzze } frm:MandelbrotBC = { ; Z = Z^E + C e=p1 p=real(p2)+PI q=2*PI*trunc(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|<100 } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 13-10-00 (Much to my Chagrin [4]) Date: 12 Oct 2000 21:40:27 -0400 (EDT) FOTD -- October 13, 2000 (Rating 4) Fractal visionaries and enthusiasts: Today's fractal is a disappointment. When I found the location where the midget lay buried, I thought that I was on the way to a great fractal. But something happened on the way down. The closer I came to the midget, the less promising the scene became. Maybe I went too deep, maybe I bungled the coloring, maybe there's simply no great image to be had at this location. Whatever the reason, I felt a letdown at the final result. The expression that was calculated to draw the image is 11Z^(-1.15)-Z^(-11.5)+(1/C), which was calculated by the MandelbrotMix4 formula, resulting in today's image. The 8 or 9 rating I had originally expected was trimmed to a modest below- average 4. Then I named the picture "Much to my Chagrin". It's an image with a deep blue color palette, with feathery fronds poking in from the edges and graceful arcs curving at the corners. The description sounds good enough -- too bad the image doesn't come up to its description. With a render time of 8-1/2 minutes on a 200mhz Pentium, the parameter file is not really worth the effort of formatting and running it. I recommend downloading the finished GIF image from: alt.binaries.pictures.fractals or from: The fractal weather today was absolutely perfect, with cloudless deep blue skies and a temperature of 72F (22C). The conditions brought out the wanderlust in the cats, who kept me busy all day letting them in and out. And now it's time to once again shut down the fractal shoppe and call it a night. But I'll return on schedule tomorrow with a better fractal and some words about higher dimensions. Until then, take care, and a great fractal makes an otherwise lousy day seem not so bad. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Much_to_my_Chagrin { ; time=0:08:30.26 -- SF5 on a P200 reset=2001 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+89.198597213673/+301.3121194212447/3.363\ 376e+007/1/90 params=11/-1.15/-1/-11.5/0/1000 float=y maxiter=3200 inside=0 logmap=182 periodicity=10 colors=000fnzfjzdkzajzZfzWjzTZzQXzNPzMEx39n65395UB5U\ <2>J5pJXjmzzirzejzabzXUxTMxPDwznMzeUqXafNiWEpNm8np0j\ i9fcHbYP_TW<2>NBpR_iT3zR5z<3>M5zK5zR00Q00P08P0HN1QM3\ YM3fK5nzaavUflPjN5Bm00fH5_XEUlPNzXHzeEzPDv6zMbfXPEhB\ GbJHXQHRXJMcKDzzGzK9zP90N89N8JM6RM6_K5hK5pn01lzJfxR<\ 2>QJpRtEQlN<3>KEpvzUnz_ipcbeiXTmQHr_0lR0qJzt5zi8ql9i\ mDapEUqHMtJjvKjz<4>KjzKjx6jT<3>GjmJjrzjlvjpbxtDxzExz\ GxzHxzHxzJxzKxxlxzaxp0x00xD1xP8xaExlJxhJx5<3>KxaKxiK\ xpzxQhxfhxzaxzWxzQxxJxvKxwKxwMxelxnfxq<2>Qxvzxjzxmvx\ nlxqbxrTxvzx0zx0wxBnxMhxW_xeRxnfxzWxzmx3ixBexJbxQYxX\ <2>NxqzxXvxbnxffxj_xnRxrzxq0zc<2>0zl5zm9zpDzrHzvXzTT\ zaQzhNzpzzErzQhzaWzljzB5zz8zz9zzBzzDzzGzzHzzJzxxzKzz\ zvzznzzfzz_zzRzzzzXtzfbznczmUzrzzMnzY_zjBz0Dz9<3>Jzm\ 5z08z99zJDzREz_HzhJzpzz3qzNazexz0qz3jzGczR } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 14-10-00 (Interim [5]) Date: 13 Oct 2000 22:34:45 -0400 (EDT) FOTD -- October 14, 2000 (Rating 5) Fractal visionaries and enthusiasts: The day turned out to be unexpectedly busy here at Fractal Central today. Faced with the choice of completing a job that pays or finding an exceptional fractal, I chose to complete the job that pays. Thus I had to delve into the fractal archives to find a fractal worthy of being crowned 'Fractal of the Day'. Within 5 minutes of delving, I found today's image, which mixes portions of Z^(-11) and Z^(-1.1). The image is actually a very lucky one. Having failed once to qualify, it was given a second chance, and like an olympic athlete, rose admirably to the occasion. Eight months ago I named the picture "Interim". I have no idea why I gave it such a name -- perhaps the name was intended to be a temporary one until I thought of a permanent one. Regardless, it's an acceptable image -- a bit too gaudy, but still fun to look at. The rating of a perfectly average 5 seems about right for this image. If I had had more time, I would have tried Fractint's other outside coloring options on this picture. Maybe I'll try them when I get this FOTD posted. More likely I'll settle down to watch a junky old sci-fi movie from the 50's -- the kind they don't make nowadays. The 8-1/2 minute render time makes the download the better choice. That download may be found at: alt.binaries.pictures.fractals and at: The crystal-clear fractal weather today here at Fractal Central was a repeat of yesterday's perfection, but it was even more perfect. The temperature of 75F (24C) couldn't have been more perfect for fractal cats who demand comfort. That's it for today. I'll return tomorrow with a fractal and idle chatter. Until then, take care, and fractals exist only because we want them to. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Interim { ; time=0:08:36.41 -- SF5 on a P200 reset=2001 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.879446711164544/+2.216489222310698/5.9\ 90554e+009/1/104.999 params=1/-11/-1/-1.1/0.2/10000 float=y maxiter=1500 inside=0 logmap=165 periodicity=9 colors=0000C00C00E00G00I01K2BM8KOE<3>un_<3>ZZRTVPNRN\ HNLCKJFAM<3>Wia_qdajc<3>fL`gF`h8_i2_<3>XKn<3>HDqDBr9\ 9sBh7Ck7Dn7<2>KSICZ7<3>ppDlZQhIad0l<3>MHLHMFDWE8`84e\ 2<2>7q5<3>FfNHcSJaWLZ`MXd<3>5Dy<3>F_UIdMKjEMo6<3>BY4\ UT4`P3fP3mN3z`CuV9pP7kK5<3>Mh9GnAAtBWjWp`o<2>nza<3>Q\ hkKdnE`p8Xr<3>lmMvqESmj<3>efQidLlcGpaBs`6<3>XreRvnMz\ v<3>eUojMncRh<3>FgN9kH3oC<3>atbcuh<3>svqwvszvuzvwzvy\ wut<2>irg<2>qoW<3>gcie`mcYpaVs<3>cBeRFUFIJVFI0cH0cHW\ JF3SDzyj<3>zm2wlA<2>iiW<2>ifp<3>ssgBweJwfRwfYmfWmbUm\ _SwWQwTPwQKwmNwo<3>QwYQwTRwPRwLVwNZzP<3>mzXpzYizU<3>\ IzICzF_zXwzm<3>QznIznEzaBzP8zD<3>AzVkz`jza2zS<2>Tzc } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD's 15-10-00 (Before and After [4+5]) Date: 14 Oct 2000 21:54:54 -0400 (EDT) FOTD -- October 15, 2000 (Rating 4+5) Fractal visionaries and enthusiasts: Today's fractal is in two parts. The first part rates a 4; the second, a 5. I bunched the two images together and named them "Before and After". The two images show the result of a rotation in four dimensions. The "Before" image shows a very typical midget in the Mandelbrot set, with some Julia-like decorations surrounding it. This midget is situated deep in the East Valley area of the most prominent midget on the west filament of the North Radical. The "Before" picture is a pleasant enough scene, colored with a rather Halloween-like palette. But it's nothing outstanding -- we've seen dozens of similar images. Because such images have become hackneyed, I have been able to rate it at only a somewhat below average 4. The Mandelbrot set however is only one slice of a four- dimensional object known as the Julibrot, and Mandel midgets are actually four-dimensional holes scattered through the Julibrot like holes in a hyperswiss cheese. If we slice this hypercheese in an absolutely perpendicular direction, we get the various Julia sets, but what do we get when we slice through a midget in some remote oblique direction? We get what I call oblique midgets, which can take any shape whatever. The "After" image is centered at exactly the same C-coordinates as the "Before" image. The only difference is that the direction of the slice has been double-rotated 60 degrees through the fourth dimension. The color scheme is exactly the same, so that the same parts of the fractal appear in the same colors in both images. Instead of a nice neat Mandel midget, we now have an object that resembles the sun about 1/4 risen above the horizon. And the nice nearly circular array of Julia-like features is still there, but it has been transformed into a vaguely triangular mass of misplaced elements. Closer in toward the central hole, the features become distorted beyond recognition. This distortion is mild compared to the distortion that appears when the midget is sliced at some other angles. I might show some of these even more distorted scenes in the near future, but for now I feel we've given this little midget a hard-enough time for one day. After all, no one enjoys having their very worst aspects made public. The two fractals in the parameter file each render in less than one minute. With such a fast render time, running the parameter file might be more efficient than downloading the two separate images. But for those who would prefer to download, the images may be found at: alt.binaries.pictures.fractals and at: The fractal weather today was absolutely perfect, with a blue sky decorated with angel-hair cirrus, and a temperature of 80F (26.5C) that brought out the best in the fractal cats. The cats spent several hours outdoors, enjoying the sunshine in their middle years. The philosophy still sleeps, but eventually it will awaken. And before long, I'll awaken and return with more wonders from the world of fractals. Until then, take care, and don't go into the fourth dimension -- you may never get back out. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ 1-Before { ; time=0:00:48.22 -- SF5 on a p200 ; Version 2000 Patchlevel 14 reset=2000 type=formula formulafile=slices.frm formulaname=Mandelbrot passes=1 center-mag=-0.00000004627230047/-0.00000004133611691\ /1082251 params=0/0/-0.153481762634/1.03017708079 float=y maxiter=900 inside=0 logmap=88 periodicity=10 colors=00060Q60Q<3>60Y61_85a<3>CLiDPkETk<3>JhmKlmLpn\ MtnNxn<4>MffMbdMZb<3>MLXPHVUEUbASfMRmCUuJPxOMzQKxN8q\ L6<2>I33E74NA5<3>fM8kP9oS9<3>cm6`r5Yw5<8>SkOSiQRhS<3\ >Pc_<2>c1TdMOdmKduGevF<3>eiCefBecB<5>qWKrVLtUMvTOxRP\ zQQ<3>yMW<3>bI`XHaSGc<2>BEf<2>8U`<3>FYJHZEI_AK`5La1<\ 4>JR5JO5JM6<3>IE8<3>FUUFYZEac<3>Cpx<3>Wpf_padpY<3>wp\ G<3>aqJWrKRrLLrMGrM<3>LpdMoiNonOnsPnwcjoqggzd_zb`<4>\ bVbYTcTSc<3>AMe<3>WCPa9Lf7H<2>v05<5>XIVSLZOOb<3>7Zs<\ 3>b8Jj2Al3G<3>t4`v4ex4kz4pz4u<2>z9fzIhxRjw_l<3>xeUyg\ PzhL<2>zl7<5>zmQzmUzmX<3>zmhzmhzmhzmfzmL<3>zmN } 2-After { ; time=0:00:47.29 -- SF5 on a p200 ; Version 2000 Patchlevel 14 reset=2000 type=formula formulafile=multirot.frm formulaname=multirot-XZ-YW passes=1 center-mag=-0.00000080034637373/-0.00000045133115239\ /485574.3/0.5971/179.913/62.877 params=-60/60/-0.153481762634/1.03017708079/-0.15348\ 1762634/1.03017708079 float=y maxiter=900 inside=0 logmap=88 periodicity=10 colors=00060Q60Q<3>60Y61_85a<3>CLiDPkETk<3>JhmKlmLpn\ MtnNxn<4>MffMbdMZb<3>MLXPHVUEUbASfMRmCUuJPxOMzQKxN8q\ L6<2>I33E74NA5<3>fM8kP9oS9<3>cm6`r5Yw5<8>SkOSiQRhS<3\ >Pc_<2>c1TdMOdmKduGevF<3>eiCefBecB<5>qWKrVLtUMvTOxRP\ zQQ<3>yMW<3>bI`XHaSGc<2>BEf<2>8U`<3>FYJHZEI_AK`5La1<\ 4>JR5JO5JM6<3>IE8<3>FUUFYZEac<3>Cpx<3>Wpf_padpY<3>wp\ G<3>aqJWrKRrLLrMGrM<3>LpdMoiNonOnsPnwcjoqggzd_zb`<4>\ bVbYTcTSc<3>AMe<3>WCPa9Lf7H<2>v05<5>XIVSLZOOb<3>7Zs<\ 3>b8Jj2Al3G<3>t4`v4ex4kz4pz4u<2>z9fzIhxRjw_l<3>xeUyg\ PzhL<2>zl7<5>zmQzmUzmX<3>zmhzmhzmhzmfzmL<3>zmN } frm:Mandelbrot {; Jim Muth real(c),imag(c) z=p1, c=pixel+p2: z=sqr(z)+c, |z| <= 16 } frm:multirot-XZ-YW {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p2, c=e*imag(pixel)+p3: z=sqr(z)+c, |z| <= 36 } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Bob Margolis Subject: (fractint) Fractal greeting cards Date: 15 Oct 2000 07:05:33 -0500 Looking for a greeting postcard with a fractal picture? You can choose from several fractal pictures and many sentiments, and add your own message to the postcard. You can even pick a song to go with it. Best of all--it's free! Just in time for Sweetests Day, Oct. 21 in the States. http://www.herenthere.com/fractals.html Bob Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Bob Margolis Subject: (fractint) Another fractal greeting card URL Date: 15 Oct 2000 07:40:00 -0500 Free animated fractal greeting cards: Forever Moments http://www.forevermoments.net/fractalpostcards.html Bob Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: DeBow Freed II PhD Subject: Re: (fractint) Another fractal greeting card URL Date: 15 Oct 2000 12:52:03 -0500 Dear Bob,

Thanks for the heads up on fractal greeting cards - both your own and the site listed below. What a thoughtful and well-timed contribution!

I have a question/comment and am posting it rather than sending it to you personally because I wonder how others feel - or observe the same response among their acquaintances that I did this morning.

First, the qualifiers: I feel particularly foolish making this comment at all as I have nothing of my own in the way of images to offer, and what you have done is so nice. But you guys and the Ultrafrac people haves bundles of additional images.
And I hope that my comment is not taken as sexist (or UltraFract-ist), because it's not meant to be - just an observation of human behavior (albeit lubricated by ethanol).

Finally, a quick poll of my friends at aol, yahoo and other free Greeting Card services confirms the unsurprising fact that images with softer colors and less angular composition are more popular because they are perceived to be consistent with the content of the sentiment, which is usually positive, friendly, or more than friendly. Apparently, it's neurophysiologically confusing to most people to receive an image that looks like "somebody's decapitated head in the middle of a futuristic four-bladed guillotine" (a description of your "Picture" #8, in the middle of the third row).

My question is whether images of a somewhat softer, more "inviting" nature - both with respect to coloration and composition - might be included among the choices at the herenthere site. For example, Bob, the image positioned at the lower left-hand corner of your set (#10 of 12) uses a softer palette than all the others, and is - to me, at least - much more likely to provoke a positive response from a (let's say) hospitalized recipient than are the others. Same comment for the images offered at the forevermoments site.

Think rainbow colors and rounder shapes. Think boring - which I know is difficult for you - and what you'll offer in addition to the present images will be, I think, much more popular with the recipients, less potentially frightening, terrifying oor confusing to the uninitiated, and I think overall, much more useful.

I did a little market survey at a Brunch this morning here in Dallas, and what a hit your Greeting Cards were! However, the reponse was almost universally what I have described: non-fractaliers were consistently more comfortable with the softer-colors and less angular shapes, and often misinterpreted the combination of most of the sentiments and images as "sarcastic" or "insulting" (!!). Weird but true.

A revelatory example: one group at this morning's Brunch was delighting in matching sentiments like "thinking of you", and "get well soon" with some of the more techno-spectacular cards, and signing them "Jeffrey Dahmer", "Dracula", and "Your Worst Nightmare". I'll let you guess the sex of that group.

Across the room at the other laptop, the girls were desperately trying to generate a Javascript plug-in to automatically attach an add-on to the available Sentiments to create an APOLOGY to the recipient to conveyed that "it wasn't meant to be sarcastic."

Lots of people - the vast majority, in fact, don't have a clue what a fractal is anyway. They're looking for a "pretty picture". You and I can appreciate what an incredible tour-de-force most of you proffered images are from a technical standpoint, but the harsh angularities and metallic palette of most are a turn-off.

At any rate, this is in no way intended as anything other than a gratuitous comment and report to you of this morning's interesting (I thought) but statistically-insignificant marketing survey. Maybe all it represents is the effect of too many Mimosa's and Bloody Mary's on a crowd with diverse backgrounds and little familiarity with cutting-edge fractals imagery.

It is certainly not a suggestion that you "dumb-down" the images you make available for Cards. God knows there are enough stupid cartoons and Hallmark-y email cards out there wasting the World's bandwidth. Just wondering if you could toss in some of your more colorful (i.e., primary colors), less angular images.

Thanks again for making such an outstanding contribution and for sharing it with the rest of us.

DeBow Freed
<bmc1@airmail.net>
 
 

Bob Margolis wrote:

Free animated fractal greeting cards:

Forever Moments   http://www.forevermoments.net/fractalpostcards.html

Bob

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Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Harry Bissell Subject: Re: (fractint) Another fractal greeting card URL Date: 15 Oct 2000 14:34:57 -0400 Nah... there is enough "My Little Pony" images in the world now... and I really have had enough of "Silly Love Songs".... There is no problem with angular shapes, hard metallic colors... its just that WOMEN shop in the Hallmark store, not men (no market there...) so production favors kitch! Give me the ultra hard razor sharp fractal greeting cards !!! Death Metal Forever !!! H^) (as) Idi Amin, Uganda. DeBow Freed II PhD wrote: > Dear Bob, > > Thanks for the heads up on fractal greeting cards - both your own and > the site listed below. What a thoughtful and well-timed contribution! > > I have a question/comment and am posting it rather than sending it to > you personally because I wonder how others feel - or observe the same > response among their acquaintances that I did this morning. > > First, the qualifiers: I feel particularly foolish making this comment > at all as I have nothing of my own in the way of images to offer, and > what you have done is so nice. But you guys and the Ultrafrac people > haves bundles of additional images. > And I hope that my comment is not taken as sexist (or UltraFract-ist), > because it's not meant to be - just an observation of human behavior > (albeit lubricated by ethanol). > > Finally, a quick poll of my friends at aol, yahoo and other free > Greeting Card services confirms the unsurprising fact that images with > softer colors and less angular composition are more popular because > they are perceived to be consistent with the content of the sentiment, > which is usually positive, friendly, or more than friendly. > Apparently, it's neurophysiologically confusing to most people to > receive an image that looks like "somebody's decapitated head in the > middle of a futuristic four-bladed guillotine" (a description of your > "Picture" #8, in the middle of the third row). > > My question is whether images of a somewhat softer, more "inviting" > nature - both with respect to coloration and composition - might be > included among the choices at the herenthere site. For example, Bob, > the image positioned at the lower left-hand corner of your set (#10 of > 12) uses a softer palette than all the others, and is - to me, at > least - much more likely to provoke a positive response from a (let's > say) hospitalized recipient than are the others. Same comment for the > images offered at the forevermoments site. > > Think rainbow colors and rounder shapes. Think boring - which I know > is difficult for you - and what you'll offer in addition to the > present images will be, I think, much more popular with the > recipients, less potentially frightening, terrifying oor confusing to > the uninitiated, and I think overall, much more useful. > > I did a little market survey at a Brunch this morning here in Dallas, > and what a hit your Greeting Cards were! However, the reponse was > almost universally what I have described: non-fractaliers were > consistently more comfortable with the softer-colors and less angular > shapes, and often misinterpreted the combination of most of the > sentiments and images as "sarcastic" or "insulting" (!!). Weird but > true. > > A revelatory example: one group at this morning's Brunch was > delighting in matching sentiments like "thinking of you", and "get > well soon" with some of the more techno-spectacular cards, and signing > them "Jeffrey Dahmer", "Dracula", and "Your Worst Nightmare". I'll let > you guess the sex of that group. > > Across the room at the other laptop, the girls were desperately trying > to generate a Javascript plug-in to automatically attach an add-on to > the available Sentiments to create an APOLOGY to the recipient to > conveyed that "it wasn't meant to be sarcastic." > > Lots of people - the vast majority, in fact, don't have a clue what a > fractal is anyway. They're looking for a "pretty picture". You and I > can appreciate what an incredible tour-de-force most of you proffered > images are from a technical standpoint, but the harsh angularities and > metallic palette of most are a turn-off. > > At any rate, this is in no way intended as anything other than a > gratuitous comment and report to you of this morning's interesting (I > thought) but statistically-insignificant marketing survey. Maybe all > it represents is the effect of too many Mimosa's and Bloody Mary's on > a crowd with diverse backgrounds and little familiarity with > cutting-edge fractals imagery. > > It is certainly not a suggestion that you "dumb-down" the images you > make available for Cards. God knows there are enough stupid cartoons > and Hallmark-y email cards out there wasting the World's bandwidth. > Just wondering if you could toss in some of your more colorful (i.e., > primary colors), less angular images. > > Thanks again for making such an outstanding contribution and for > sharing it with the rest of us. > > DeBow Freed > > > > > Bob Margolis wrote: > >> Free animated fractal greeting cards: >> >> Forever Moments >> http://www.forevermoments.net/fractalpostcards.html >> >> Bob >> >> -------------------------------------------------------------- >> Thanks for using Fractint, The Fractals and Fractint Discussion List >> >> Post Message: fractint@lists.xmission.com >> Get Commands: majordomo@lists.xmission.com "help" >> Administrator: twegner@fractint.org >> Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" > > -------------------------------------------------------------- Thanks > for using Fractint, The Fractals and Fractint Discussion List Post > Message: fractint@lists.xmission.com Get Commands: > majordomo@lists.xmission.com "help" Administrator: > twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com > "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: DeBow Freed II PhD Subject: Re: Re: (fractint) Another fractal greeting card URL Date: 15 Oct 2000 17:34:48 -0500 Harry-

I agree.

Give ME the angular shapes and great palettes, too.

But please ALSO give me some of the ones the ladies (or whoever has different taste than ours - not my sexist reference) seem to find less threatening. It's not an all-or-none phenomenon (check out Bob's Galleries), merely a comment & question about an observed sexually and otherwise (e.g., also a function of exposure to fractals/PC's) dimorphic response pattern, intended to ask about others' personal marketing- or neuro-physiologic response.

I can see where this is heading - let's not go there - please re-read Para's 3-4 of my original message.

DBF
 
 

Harry Bissell wrote:

Nah... there is enough "My Little Pony" images in the world now... and I
really have
had enough of "Silly Love Songs"....

There is no problem with angular shapes, hard metallic colors... its
just that WOMEN
shop in the Hallmark store, not men (no market there...) so production
favors kitch!

Give me the ultra hard razor sharp fractal greeting cards !!!  Death
Metal Forever !!!

H^)  (as)  Idi Amin, Uganda.

DeBow Freed II PhD wrote:

> Dear Bob,
>
> Thanks for the heads up on fractal greeting cards - both your own and
> the site listed below. What a thoughtful and well-timed contribution!
>
> I have a question/comment and am posting it rather than sending it to
> you personally because I wonder how others feel - or observe the same
> response among their acquaintances that I did this morning.
>
> First, the qualifiers: I feel particularly foolish making this comment
> at all as I have nothing of my own in the way of images to offer, and
> what you have done is so nice. But you guys and the Ultrafrac people
> haves bundles of additional images.
> And I hope that my comment is not taken as sexist (or UltraFract-ist),
> because it's not meant to be - just an observation of human behavior
> (albeit lubricated by ethanol).
>
> Finally, a quick poll of my friends at aol, yahoo and other free
> Greeting Card services confirms the unsurprising fact that images with
> softer colors and less angular composition are more popular because
> they are perceived to be consistent with the content of the sentiment,
> which is usually positive, friendly, or more than friendly.
> Apparently, it's neurophysiologically confusing to most people to
> receive an image that looks like "somebody's decapitated head in the
> middle of a futuristic four-bladed guillotine" (a description of your
> "Picture" #8, in the middle of the third row).
>
> My question is whether images of a somewhat softer, more "inviting"
> nature - both with respect to coloration and composition - might be
> included among the choices at the herenthere site. For example, Bob,
> the image positioned at the lower left-hand corner of your set (#10 of
> 12) uses a softer palette than all the others, and is - to me, at
> least - much more likely to provoke a positive response from a (let's
> say) hospitalized recipient than are the others. Same comment for the
> images offered at the forevermoments site.
>
> Think rainbow colors and rounder shapes. Think boring - which I know
> is difficult for you - and what you'll offer in addition to the
> present images will be, I think, much more popular with the
> recipients, less potentially frightening, terrifying oor confusing to
> the uninitiated, and I think overall, much more useful.
>
> I did a little market survey at a Brunch this morning here in Dallas,
> and what a hit your Greeting Cards were! However, the reponse was
> almost universally what I have described: non-fractaliers were
> consistently more comfortable with the softer-colors and less angular
> shapes, and often misinterpreted the combination of most of the
> sentiments and images as "sarcastic" or "insulting" (!!). Weird but
> true.
>
> A revelatory example: one group at this morning's Brunch was
> delighting in matching sentiments like "thinking of you", and "get
> well soon" with some of the more techno-spectacular cards, and signing
> them "Jeffrey Dahmer", "Dracula", and "Your Worst Nightmare". I'll let
> you guess the sex of that group.
>
> Across the room at the other laptop, the girls were desperately trying
> to generate a Javascript plug-in to automatically attach an add-on to
> the available Sentiments to create an APOLOGY to the recipient to
> conveyed that "it wasn't meant to be sarcastic."
>
> Lots of people - the vast majority, in fact, don't have a clue what a
> fractal is anyway. They're looking for a "pretty picture". You and I
> can appreciate what an incredible tour-de-force most of you proffered
> images are from a technical standpoint, but the harsh angularities and
> metallic palette of most are a turn-off.
>
> At any rate, this is in no way intended as anything other than a
> gratuitous comment and report to you of this morning's interesting (I
> thought) but statistically-insignificant marketing survey. Maybe all
> it represents is the effect of too many Mimosa's and Bloody Mary's on
> a crowd with diverse backgrounds and little familiarity with
> cutting-edge fractals imagery.
>
> It is certainly not a suggestion that you "dumb-down" the images you
> make available for Cards. God knows there are enough stupid cartoons
> and Hallmark-y email cards out there wasting the World's bandwidth.
> Just wondering if you could toss in some of your more colorful (i.e.,
> primary colors), less angular images.
>
> Thanks again for making such an outstanding contribution and for
> sharing it with the rest of us.
>
> DeBow Freed
> <bmc1@airmail.net>
>
>
>
> Bob Margolis wrote:
>
>> Free animated fractal greeting cards:
>>
>> Forever Moments
>> http://www.forevermoments.net/fractalpostcards.html
>>
>> Bob
>>
>> --------------------------------------------------------------
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Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Harry Bissell Subject: Re: (fractint) Another fractal greeting card URL Date: 15 Oct 2000 19:13:07 -0400 Ha Ha... I usually lurk, seldom post. So people probably don't know my sarcastic sense of humor (if that...). Don't take my reply too seriously. OTOH: Watch that sexist reference "whoever has different taste than ours..." because if we let out sexism (male / female), then we get into "Whatever" and not whoever. Once we cross 'species' lines there is no telling where this will go.... ;^) H^) harry DeBow Freed II PhD wrote: > Harry- > > I agree. > > Give ME the angular shapes and great palettes, too. > > But please ALSO give me some of the ones the ladies (or whoever has > different taste than ours - not my sexist reference) seem to find less > threatening. It's not an all-or-none phenomenon (check out Bob's > Galleries), merely a comment & question about an observed sexually and > otherwise (e.g., also a function of exposure to fractals/PC's) > dimorphic response pattern, intended to ask about others' personal > marketing- or neuro-physiologic response. > > I can see where this is heading - let's not go there - please re-read > Para's 3-4 of my original message. > > DBF > > > > Harry Bissell wrote: > >> Nah... there is enough "My Little Pony" images in the world now... >> and I >> really have >> had enough of "Silly Love Songs".... >> >> There is no problem with angular shapes, hard metallic colors... its >> >> just that WOMEN >> shop in the Hallmark store, not men (no market there...) so >> production >> favors kitch! >> >> Give me the ultra hard razor sharp fractal greeting cards !!! Death >> >> Metal Forever !!! >> >> H^) (as) Idi Amin, Uganda. >> >> DeBow Freed II PhD wrote: >> >> > Dear Bob, >> > >> > Thanks for the heads up on fractal greeting cards - both your own >> and >> > the site listed below. What a thoughtful and well-timed >> contribution! >> > >> > I have a question/comment and am posting it rather than sending it >> to >> > you personally because I wonder how others feel - or observe the >> same >> > response among their acquaintances that I did this morning. >> > >> > First, the qualifiers: I feel particularly foolish making this >> comment >> > at all as I have nothing of my own in the way of images to offer, >> and >> > what you have done is so nice. But you guys and the Ultrafrac >> people >> > haves bundles of additional images. >> > And I hope that my comment is not taken as sexist (or >> UltraFract-ist), >> > because it's not meant to be - just an observation of human >> behavior >> > (albeit lubricated by ethanol). >> > >> > Finally, a quick poll of my friends at aol, yahoo and other free >> > Greeting Card services confirms the unsurprising fact that images >> with >> > softer colors and less angular composition are more popular >> because >> > they are perceived to be consistent with the content of the >> sentiment, >> > which is usually positive, friendly, or more than friendly. >> > Apparently, it's neurophysiologically confusing to most people to >> > receive an image that looks like "somebody's decapitated head in >> the >> > middle of a futuristic four-bladed guillotine" (a description of >> your >> > "Picture" #8, in the middle of the third row). >> > >> > My question is whether images of a somewhat softer, more >> "inviting" >> > nature - both with respect to coloration and composition - might >> be >> > included among the choices at the herenthere site. For example, >> Bob, >> > the image positioned at the lower left-hand corner of your set >> (#10 of >> > 12) uses a softer palette than all the others, and is - to me, at >> > least - much more likely to provoke a positive response from a >> (let's >> > say) hospitalized recipient than are the others. Same comment for >> the >> > images offered at the forevermoments site. >> > >> > Think rainbow colors and rounder shapes. Think boring - which I >> know >> > is difficult for you - and what you'll offer in addition to the >> > present images will be, I think, much more popular with the >> > recipients, less potentially frightening, terrifying oor confusing >> to >> > the uninitiated, and I think overall, much more useful. >> > >> > I did a little market survey at a Brunch this morning here in >> Dallas, >> > and what a hit your Greeting Cards were! However, the reponse was >> > almost universally what I have described: non-fractaliers were >> > consistently more comfortable with the softer-colors and less >> angular >> > shapes, and often misinterpreted the combination of most of the >> > sentiments and images as "sarcastic" or "insulting" (!!). Weird >> but >> > true. >> > >> > A revelatory example: one group at this morning's Brunch was >> > delighting in matching sentiments like "thinking of you", and "get >> >> > well soon" with some of the more techno-spectacular cards, and >> signing >> > them "Jeffrey Dahmer", "Dracula", and "Your Worst Nightmare". I'll >> let >> > you guess the sex of that group. >> > >> > Across the room at the other laptop, the girls were desperately >> trying >> > to generate a Javascript plug-in to automatically attach an add-on >> to >> > the available Sentiments to create an APOLOGY to the recipient to >> > conveyed that "it wasn't meant to be sarcastic." >> > >> > Lots of people - the vast majority, in fact, don't have a clue >> what a >> > fractal is anyway. They're looking for a "pretty picture". You and >> I >> > can appreciate what an incredible tour-de-force most of you >> proffered >> > images are from a technical standpoint, but the harsh angularities >> and >> > metallic palette of most are a turn-off. >> > >> > At any rate, this is in no way intended as anything other than a >> > gratuitous comment and report to you of this morning's interesting >> (I >> > thought) but statistically-insignificant marketing survey. Maybe >> all >> > it represents is the effect of too many Mimosa's and Bloody Mary's >> on >> > a crowd with diverse backgrounds and little familiarity with >> > cutting-edge fractals imagery. >> > >> > It is certainly not a suggestion that you "dumb-down" the images >> you >> > make available for Cards. God knows there are enough stupid >> cartoons >> > and Hallmark-y email cards out there wasting the World's >> bandwidth. >> > Just wondering if you could toss in some of your more colorful >> (i.e., >> > primary colors), less angular images. >> > >> > Thanks again for making such an outstanding contribution and for >> > sharing it with the rest of us. >> > >> > DeBow Freed >> > >> > >> > >> > >> > Bob Margolis wrote: >> > >> >> Free animated fractal greeting cards: >> >> >> >> Forever Moments >> >> http://www.forevermoments.net/fractalpostcards.html >> >> >> >> Bob >> >> >> >> -------------------------------------------------------------- >> >> Thanks for using Fractint, The Fractals and Fractint Discussion >> List >> >> >> >> Post Message: fractint@lists.xmission.com >> >> Get Commands: majordomo@lists.xmission.com "help" >> >> Administrator: twegner@fractint.org >> >> Unsubscribe: majordomo@lists.xmission.com "unsubscribe >> fractint" >> > >> > -------------------------------------------------------------- >> Thanks >> > for using Fractint, The Fractals and Fractint Discussion List Post >> >> > Message: fractint@lists.xmission.com Get Commands: >> > majordomo@lists.xmission.com "help" Administrator: >> > twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com >> > "unsubscribe fractint" >> >> -------------------------------------------------------------- >> Thanks for using Fractint, The Fractals and Fractint Discussion List >> >> Post Message: fractint@lists.xmission.com >> Get Commands: majordomo@lists.xmission.com "help" >> Administrator: twegner@fractint.org >> Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" > > -------------------------------------------------------------- Thanks > for using Fractint, The Fractals and Fractint Discussion List Post > Message: fractint@lists.xmission.com Get Commands: > majordomo@lists.xmission.com "help" Administrator: > twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com > "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Subject: Re: (fractint) Fractal greeting cards Date: 16 Oct 2000 16:31:07 +1300 > Sweetests Day, Oct. 21 > in the States. > Never head of it, myself. Morgan L. Owens "Me and 5.8 billion other people, I'd guess" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 16-10-00 (Fractal Foliage [6]) Date: 16 Oct 2000 00:22:21 -0400 (EDT) FOTD -- October 16, 2000 (Rating 6) Fractal visionaries and enthusiasts: The midget in today's FOTD appears to be peeking through a forest of foliage. What better name than "Fractal Foliage" could be given to such a scene? The parent fractal of today's image consists of three circles, the whole thing surrounded on the west side by a series of concentric arcs. Today's scene lies deep in the outermost arc on the southwest side. The expression that created the parent fractal is so whimsical that I'll not bother repeating it here, but for those who are interested, the parameters are given in the parameter file that appears at the end of this discussion. The render time of just under 7 minutes makes a download of the GIF image file the wiser choice. That download may be found on the Usenet group: and on the W.W.Web at: If the FOTD web site is not working as it should, contact Paul Lee, who maintains the site. I only find the fractals and write the discussions. And speaking of things to discuss, we have the fractal weather in particular. It was another perfect day here in Fractal Land. The sunny skies and temperature of 81F (27C) were ideal for cats and their pet humans alike. The philosophy is still brewing, though an eruption is still a number of days in the future. But keep in touch; you wouldn't want to miss the excitement when the eruption inevitably happens. A glance at the wall clock shows that the time has come to shut down the fractal shoppe and call it a night. Until 24 hours from now, take care, and perhaps the best thing of all about fractals is that they're absolutely free. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Fractal_Foliage { ; time=0:06:50.51 -- SF5 on a P200 reset=2001 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-8.938876274351706/-9.976549500589202/452\ .3876/1/-79.999 params=-11/-1.1/-1.11/-2.222/-0.9/200 float=y maxiter=1800 inside=0 logmap=98 periodicity=9 colors=000S0SvAuo7rg3o`0mS0jL0gD0d60cC0dI6fMGgSQiX`j\ aYlS`piSilPfo9cp0al0di0gf3jc6m`Fo_FfYT_XTQV_JT`CSg3Q\ g0Qv0IzC9zY0zF0z00v0<3>0T00M00G0DFMTFgiFzcDv_CoVCgQA\ `L9TG9MC7F777<2>FGfIJrJLz9Lc0LF0L00O30QD0TO0XY0_i0as\ 0dz0gz3da6a09f6AjCDoIFsOGvSP0iQQXQzLMrJ<3>AGD77CFYFM\ vGJpTGlfDgso07j71<2>as0<3>mg1pd6sc9mQPgFcc3rY6rT9sOC\ sIFuCIu7LuDOvIPxMQxTSy`TzgVzoYzz_zz`zzazvczzdzyizylz\ xoxxruxurvxpvzmvzluzjszj<2>oximxilvgjvgiuggsffsfdrfc\ pdapd`od`odapccpccpadradr`fr`<2>gs_dma<3>YVmXQpTLrSG\ uQCxO6zM1zL0zJ0zL0vM7lOFaPLSQSIS_7Sd0OV7LMGGDPD3_90g\ 60p70r71s99u9Iv9PxAXyAczAlzCszCzzCzz<3>PzzTzyXzx_zva\ zufzs<3>szmvzlyzjzziszgjzgczfVzfMzfFzd6zd0zd<3>0zj0z\ l0zl<2>0zp0zr0zr<2>0zv0zx0zx0zs4zo9zjDzfIzcMz_QzVVzQ\ YzOPzGGzA7z40z00z00z01z46zACzGIzMMzSSzY } 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 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: DeBow Freed II PhD Subject: Re: Re: Re: Re: [Fwd: (fractint) Another fractal greeting card URL] Date: 16 Oct 2000 03:08:45 -0500 Dear Bob,

Again, my post was nothing more than a gratuitous comment, offered in the hope that some of your more conventionally "accessible" images would be offered as Cards. I LIKE your images.

I had hoped the statistically insignificant - "anecdotal" if you wish - report of one small "patient group" would be accepted in the spirit it was offered: gratitude to you, and a sense of humor (boy do we need to invent something better than smiley faces to render e-mail more expressive than it is).{;-(|) - whatever that means].

I am - thank you very much - fully aware of the other discussion groups, Damien- and non-Damien-associated, and intentionally steer a wide course around them - although I enjoy Jim Muth's contributions. My intent was to ask YOU to consider the implications of thei ssues which you elect to classify as "philofractal", based on the reaction of a small - and probably un-focused - "focus group".

How's about accepting the compliment and providing a simple response to a simple question?: Can/will you provide some of your more conventionally "accessible" fractal images as cards, or not? That's all. Lets's not glorify it into some tangential "philofractal" issue, make it sexist, or otherwise evade the issue. Guess I should have sent it via back channels.

D. Freed
 
 

Bob Margolis wrote:

Dear Dr. Freed;

I am forwarding to you this message sent nine hours ago to the FractInt
mail list. I did not see it come up on the mail list since I sent it,
hence this repeat. New information is added at the end of this message.

Bob Margolis

===================

Bob Margolis wrote:
>
> Dear Dr. Freed;
>
> Before I respond I want to say that I do not have a Web site, and,
> therefore, I in no way made any of the fractal designs exhibited at both
> fractal postcard Web sites.
>
> With that out of the way, I found you're e-mail very interesting and
> thought provoking. I would suggest that you subscribe to an e-mail
> discussion group that deals with the philosophical aspect of fractals
> and repost your e-mail addressed to me there.
>
> I do not subscribe to that forum so I don't have available the
> subscription address for you. I'm hoping someone with this (FractInt)
> mail server will read this message and tell you how to subscribe to that
> forum. I'm leaving the house now and won't be back until later this
> evening. If I see that no one has provided you with the philosophical
> forum e-mail address, I will get it for you from one of several people
> who I know are list members.
>
> I think you will be well rewarded in discussing the effects of fractal
> colors and shapes upon the non-fractal public in that forum.
>
> Best regards,
>
> Bob Margolis

Since that message was written, I asked someone for the e-mail address
of that fractal philosophy discussion group I mentioned. Here is his
response:

Bob,

 - What is the e-mail subscription address for the fractals philosphy
 - group?

philofractal@lists.fractalus.com

So if you want to subscribe, send mail to this address:

philofractal-subscribe@lists.fractalus.com

...and follow the instructions you're sent.

Damien M. Jones   \\
dmj@fractalus.com  \\  Fractalus Galleries & Info:
                    \\  http://www.fractalus.com/

Please do not post my e-mail address on a web site or
in a newsgroup.  Thank you.

Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Damien M. Jones" Subject: Re: (fractint) Fractal greeting cards Date: 16 Oct 2000 21:09:25 -0400 Morgan, - > Sweetests Day, Oct. 21 - > in the States. - > - Never head of it, myself. It's a new "holiday" cooked up by various commercial interests to be a fall Valentine's Day. It's so commercialized right from the start it makes me gag, but I had one woman tell me flat-out that she didn't care, an excuse for her man to be thinking of her was what mattered. *sigh* Damien M. Jones \\ dmj@fractalus.com \\ Fractalus Galleries & Info: \\ http://www.fractalus.com/ Please do not post my e-mail address on a web site or in a newsgroup. Thank you. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Damien M. Jones" Subject: Re: Re: Re: Re: [Fwd: (fractint) Another fractal greeting Date: 16 Oct 2000 21:09:29 -0400 D. Freed, - I am - thank you very much - fully aware of the other - discussion groups, Damien- and non-Damien-associated, and - intentionally steer a wide course around them - although I - enjoy Jim Muth's contributions. Then you need not fear the philofractal list. Although it runs through my server, I don't personally run it. In fact I'm not even a subscriber. Damien M. Jones \\ dmj@fractalus.com \\ Fractalus Galleries & Info: \\ http://www.fractalus.com/ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD 17-10-00 (A Nice Fractal Midget [8]) Date: 16 Oct 2000 21:07:16 -0400 (EDT) FOTD -- October 17, 2000 (Rating 8) Fractal visionaries and enthusiasts: In the world of science, things that are long assumed to be true sometimes prove to be untrue. Why should fractals be any different? Take for example the often stated assumption that there are many Julia sets but only one Mandelbrot set. Even when the perturbed Mandelbrot sets are ignored, this assumption is untrue. It is untrue because there are at least two 'true' Mandelbrot sets, with all their parts intact. The familiar M-set cuts through the four-dimensional Julibrot along the plane where Z equals zero. But there is a second slice that cuts through the Julibrot in a perfect M-set -- the plane where the values of Z and C are equal. This second M-set, which I call the shadow set, is oriented exactly halfway through the double rotation between the Mandelbrot orientation and the Julia orientation. It lies at an absolute angle of 45 degrees to the classic M-set, every line in the shadow set lying at an angle of 45 degrees to every line in the classic set. This shadow set appears exactly like the classic set, though its linear dimensions are 1.4 times those of the classic set and its associated perturbed sets are strangely different. And yes, it is possible to enlarge its features to 1.4 times the size of the identical features in the classic set before reaching the limit of math precision. Is this second M-set the only oblique Julibrot slice that gives a spurious Mandelbrot set? I think so, but I'm not sure. One of these days I'll do some serious investigating, perhaps along the surface where Z equals the square root of C, but for the present I've got a rather exceptional FOTD to talk about. The math expression that drew the image is a totally whimsical journey into the land of fractional negative exponents. A quick check of the parameters will show the exact values. Try as I might, even after spending 1/2 hour coloring the picture, I could think of no suitable name for it, so I settled on the generic description "A Nice Fractal Midget". A second look convinced me that the rating of an exceptional 8 is fully justified. The parent fractal is the latest in my series of 'parent' images, which are characterized by a prominent 'fan' and lots of rings. The scene of today's image is located at the edge of the fan. The parameter file takes 9-1/2 minutes to render, making a download of the GIF image file the wise choice. The image file has been posted to the Usenet binary group: alt.binaries.pictures.fractals and to Paul Lee's web site at: The fractal weather today was less perfect than yesterday, but still perfect enough to keep the cats happy. The partly cloudy skies and temperature of