July 2009 - Fractint - mailman.xmission.com

CompuServe Requiem
by Lee H. Skinner 04 Jul '09

04 Jul '09

The original CompuServe service, first offered in 1979, was shut down this past week by its current owner, AOL. The service, which provided its users with addresses such as 73402,3633 and was the first major online service, had seen the number of users dwindle in recent years. At its height, the service boasted about having over half a million users simultaneously on line. Many innovations we now take for granted, from online travel (Eaasy Sabre), online shopping, online stock quotations, and global weather forecasts, just to name a few, were standard fare on CompuServe in the 1980s. CompuServe users will be able to use their existing CompuServe Classic (as the service was renamed) addresses at no charge via a new e-mail system, but the software that the service was built on, along with all the features supported by that software, from forums for virtually every topic and profession known to man to members’ Ourworld Web pages, has been shut down. Indeed, the current version of the service’s client software, CompuServe for Windows NT 4.0.2, dates back to 1999.

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FOTD 04-07-09 (The Elephant [No Rating])
by Jim Muth 04 Jul '09

04 Jul '09

FOTD -- July 04, 2009 (No Rating) Fractal visionaries and enthusiasts: East Valley is sometimes called Elephant Valley. The reason is because, with just a little imagination, the fractal features there can be seen to resemble elephants. I have often mentioned elephants in the FOTD discussions, but until now I have only been talking about them, and not actually showing one in its full glory. Well, in today's image this oversight has been corrected. As the name "The Elephant" indicates, today's image shows an East Valley elephant standing guard over its bud, as all fractal elephants must do. This particular elephant is the period-30 one on the southern shore line of East Valley. The periodicity is determined by the number of filaments leading into the 'star' with the small red ring around it on the elephant's rump at the far end of the filament leading from the bud. The elephant's trunk is quite obvious, though material elephant trunks do not terminate in an endless spiral. One of the big floppy ears elephants are famous for is quite obvious also, as is its ponderous rump, which is marked by the 30-pointed star. Like all fractal elephants, this one has a large minibrot on its shoulder, with lesser minibrots around its mouth and belly. The poor pachyderm appears to have a problem with its front legs however. Its front legs, like those of a tyranosaur, are so small as to be virtually useless. I doubt that those tiny legs could ever reach its mouth to stuff in some tasty vegetation. Many other elephants are scattered about the scene. Every smaller bud has an elephant standing guard over it, though the individual elephants become less recognizable as the buds get smaller, until they blend into a general elephant haze over the tiny buds along the main shoreline. As we go deeper into East Valley, the elephants appear pretty much the same, but they move closer together as the fractal elements get pinched off, until their trunks rather inelegantly touch the rumps of the elephants in front of them. As we move out of the valley, the elephants' bodies gradually lose solidity and turn into mere fractal filaments. When we reach the very last elephant, the period-2 one, the only thing left is its trunk, which has become perfectly straight and is now the nega- tive stem. Elephants are four-dimensional creatures that exist in all six perpendicular planes of the Julibrot, as well as the oblique slices. But they have subtle differences in each of the planes as well as the in-between slices. In the next FOTD, I will check the appearance of elephants in the Julia orientation. After that, who knows. I could give today's image no rating. After all, East Valley elephants are things the tyro fractalist finds during his first hour with his first fractal program. But there is still much to be said about the endangered fractal creatures that are rumored to communicate with subsonic sounds, so stay tuned to this channel for the latest dope. With a calculation time of a sizzling 3 seconds, today's image is one of the all-time fastest, but it's still more fun to see the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Friday turned out fair enough here at Fractal Central, the only flaw being a brief shower in the afternoon. Otherwise it was partly cloudy with a temperature of 79F 26C, all of which was fully appreciated by the fractal cats. My day was unusually busy, which explains but does not excuse the lateness of this FOTD. The next FOTD, once again late, will be posted in 24 hours, maybe sooner. Until then, take care, and if you still think global warming is a threat that calls for prompt and panicky government legislation, notice this summer's weather, something the legislators are apparently not doing. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Elephant { ; time=0:00:03.40-SF5 on P4-2000 reset=2004 type=mandel center-mag=+0.2609036571578\ 1090/-0.00195958268028537/2610.432/1/18/0 params=0/0 float=y maxiter=27500 inside=0 logmap=29 symmetry=none periodicity=10 colors=000s9qr6rq3ro3rm5ok7mi9kgBidDgaFdZHbWJ`SLZP\ NXMPUJRSGTQDVOAXM2ZF5`I7bS9dUBeWDeVFeWKeXQeTWeS`dO\ bcKdbIcaJb_KaYL`WN_UOZSPYQQXORWMTVKSUISTGSSESRCSQA\ SQERPKRPPRPUROYRO`ROcQOfQNiQUlQZoQeoNhnPdnQZnRUnTP\ lUOkVOiXOgYOeZOc`ObaP`bPZdPXePVfPThQSiQQjQOlQMmQKn\ ULsQJoMHkIGgEEhACm74r6Bv6Hz6Oz6Uz6Yz5`z6az7az7Xv8S\ r9Nm9IhADcB8Z83UB4OD5QF6UI7YK7aM8eP9iRAmTBqVBuUDrT\ EoSGlRHjRJgQKdPLaON_NOXNQUMRRLTPKUMJVJJXGIYEH_BG`8\ Ga6I`9J_AKZFLYHMXKNWNOWPfeUadNLmXLgaLafLWkIX`GXRzX\ HzP8zI0zD5z9Az5EzqLzeczVvzTwSRxHPy6NyNNqcNitNalLgd\ JmXHsPGyQHjRIWSJHSK3QLEPMPNN_MOjWYldfmnoowxpsmmqb`\ pSzj8zXgz`Oz`hzYfzWezUdzqdzhcz_czFJzMUzltzakzprzcj\ zFvz1EzANzJWzrIzkOzdTzYZzv4z1WzuLzfEzaNzXWzh9zbKzX\ Uza0zXKzSPzUhzy1zFYzM`zHizLgzPezYizVfzt_zl`zeazZbz\ LgzNfzPezRdzdzz_rzWjzY8zMXzP`zsNzfAzr_zdazHKzo`zcb\ zlOz5FzBMzHSzNYz8yzFqzMjz } END PARAMETER FILE=========================================

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FOTD 03-07-09 (Fast and Slow [No Rating])
by Jim Muth 03 Jul '09

03 Jul '09

FOTD -- July 03, 2009 (No Rating) Fractal visionaries and enthusiasts: There are two versions of today's scene, calculated by two different formulas, one sliced in the Mandelbrot direction, the other sliced in the almost-Julia direction, give or take a fraction of one second of arc. The fast Mandelbrot version takes under 3 minutes to calculate, the slow Julia version takes 4-1/2 hours. Since the images are virtually identical, I advise running the fast version and taking my word that the slow version appears identical. The slow version is the topic of this discussion however. In three-dimensional space two planes must intersect in a line, and lie at a certain single unique angle to each other. In four- dimensional space two planes intersect in only a single point and lie at two independent angles to each other. When the two angles are equal, every point in one plane in a circle around the point of intersection is at the same distance from the other plane. It makes no sense to a 3-D programmed mind, which visualizes a conic section, but that's the way it is. Today's fast image intersects the Julia plane at a double angle of 90,90 degrees. The slow image intersects the Julia plane at a double angle of a tiny fraction (about 1/50th) of one second of arc from the actual Julia direction, yet the change from Mandelbrot to Julia features has not yet appeared. The change will appear in the next 0.000001 degree of double rotation however. Some pretty abstract thinking is needed to figure out what's happening here. (It's beyond me!) All this abstraction prevents me from rating the image, though the calculation time of the fast version of under 3 minutes makes it relatively simple to see the image. Masochists who want to assure themselves that both images are virtually identical may start the slow version and wait half a day or so. The best way to see and compare both versions is to view them on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Partly cloudy skies and a temperature of 82F 28C made Thursday near ideal here at Fractal Central. The fractal cats enjoyed things as much as they could, while my day was average. The next FOTD is due to be be posted in 24 hours, but we expect a big rush job on Friday, so don't be surprised if the FOTD is late. Until whenever, take care, and keep searching. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fast_Version { ; time=0:02:50.81-SF5 on P4-2000 reset=2004 type=mandel center-mag=+0.2500000999954\ 752/-0.00000000004996773/8.672315e+011/1/-165/0 params=0/0 float=y maxiter=500000 inside=0 symmetry=xaxis periodicity=0 mathtolerance=0.05/1 colors=000EpADq9Cs8d4ge5fe6ef8ef9dfAcgBbgCahEahF`h\ G_iHZiIYjKYjLXkMWkNVkOUlQUlRTmSSmTRjMLlQOmURoXUp`X\ rcZsgaujdvngzujxsiwqiuoitmhrkhqjhohhnfgldgkbgiagh_\ ffYfeWfcUfbSe`Re_PeYNeXLdVJdUIdSGdREcPCcOAcSeAPPPN\ 9cO8eP8fQ8gR8hS8iS8jT8kU8lV8nW8oW8pX8qY8rZ8s_8t2Mx\ JFv_8uo0xp1vp1tp1rp1pp1np1lp1jp1hp1fp2dp2bp2`p2Zp2\ Xp2Vp2Tp2Rp2Pp3Np3Lp3Jp3Hp3Fp3Dp3Bp39p37o13p35p47p\ 68p7Ap8BpADpBEpDGpEHpFJpHKpIMpJNpLPpMRpOSpPUpQVpSX\ pTYpV_pW`pXbpZcp_evXnsZjp`fnbbkdZifVjeUkeUldUldTmc\ TncTnbSobSpaSpaRq`Rr`RyXOuZQr`RnbSkcUheVdgWahYZjZV\ l_SmaOobLqcIreEtfBvg6zg8whAuhBriDpiEmjGkjIhkJfkLcl\ MalOZmQXmRUnTSnTPqUQnVQlWQjXQgYReZRc_R``RZaSXbSVcS\ SdSQeTOfTLgTJhTHmUIkTGiTFhTEfSDdSCcSBaRA_R9cU9`S8Z\ R8XQ8VO8TN8RM8PL8NJ7LI7JH7HG7FE7DD7BC78769979B79C8\ AE8AF8AH9BI9BKABLACNACOBCQBDRCDTCDUCEWDEXDEZEF_EFa\ EFbFGdFGeGGgGGhGGjEFlDEnC } Slow_Version { ; time=4:31:16.93-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=SliceJulibrot4 center-mag=-0.002030815\ 15044265/-0.0022062339955831/15067.5/1/-105/0 params=89.999999/0/89.999999/60/0.2500001/0/0/0/2/\ 0 float=y maxiter=500000 inside=0 symmetry=xaxis periodicity=0 mathtolerance=0.05/1 colors=000d4ge5fe6ef8ef9dfAcgBbgCahEahF`hG_iHZiIYj\ KYjLXkMWkNVkOUlQUlRTmSSmTRjMLlQOmURoXUp`XrcZsgaujd\ vngzujxsiwqiuoitmhrkhqjhohhnfgldgkbgiagh_ffYfeWfcU\ fbSe`Re_PeYNeXLdVJdUIdSGdREcPCcOAcSeAPPPN9cO8eP8fQ\ 8gR8hS8iS8jT8kU8lV8nW8oW8pX8qY8rZ8s_8t2MxJFv_8uo0x\ p1vp1tp1rp1pp1np1lp1jp1hp1fp2dp2bp2`p2Zp2Xp2Vp2Tp2\ Rp2Pp3Np3Lp3Jp3Hp3Fp3Dp3Bp39p37o13p35p47p68p7Ap8Bp\ ADpBEpDGpEHpFJpHKpIMpJNpLPpMRpOSpPUpQVpSXpTYpV_pW`\ pXbpZcp_evXnsZjp`fnbbkdZifVjeUkeUldUldTmcTncTnbSob\ SpaSpaRq`Rr`RyXOuZQr`RnbSkcUheVdgWahYZjZVl_SmaOobL\ qcIreEtfBvg6zg8whAuhBriDpiEmjGkjIhkJfkLclMalOZmQXm\ RUnTSnTPqUQnVQlWQjXQgYReZRc_R``RZaSXbSVcSSdSQeTOfT\ LgTJhTHmUIkTGiTFhTEfSDdSCcSBaRA_R9cU9`S8ZR8XQ8VO8T\ N8RM8PL8NJ7LI7JH7HG7FE7DD7BC78769979B79C8AE8AF8AH9\ BI9BKABLACNACOBCQBDRCDTCDUCEWDEXDEZEF_EFaEFbFGdFGe\ GGgGGhGGjEFlDEnCEpADq9Cs8 } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 02-07-09 (One Skinny Trunk [No Rating])
by Jim Muth 02 Jul '09

02 Jul '09

FOTD -- July 02, 2009 (No Rating) Fractal visionaries and enthusiasts: Today's image shows the grossly enlarged Mandelbrot aspect of a scene very deep in East Valley, framed by the Julia set of East Valley. The angle of the slice is one-millionth of one degree from the true Julia direction. This is the angle of one centi- meter as seen from a distance of over 570 kilometers. But as tomorrow's image will show, all the Mandelbrot features are still there, and undistorted as well. I named the image "One Skinny Trunk", even though the skinny thing running diagonally from lower left to upper right is not an elephant trunk, but the entire width of East Valley at the C point of 25.00001. Since the image trick is a virtual repeat of one I did with Seahorse Valley, I could give the image no rating. If you think the calculation time of 24 minutes is slow, wait until you see the calculation time of tomorrow's image. But don't fret. Both images will be available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Fairly warm but otherwise pleasant weather prevailed here at Fractal Central on Wednesday, with partly cloudy skies and a temperature of 84F 29C. A light thunder-shower moved in well after dark, which passed pretty much un-noticed by the fractal cats, who spent the day watching for stray cats. During a hurried lunch I asked FL why she spends so much time watching those silly latin TV novellas. She commented that people with common sense ignore the silly questions I sometimes ask. Then I told her that this shows the stupidity of people with common sense. When she asked if I think she has common sense, I took a long sip of coffee. The day was so busy that I was forced to post the FOTD 12 hours late. This means the next FOTD is due in 12 hours. It's a very slow one, so be prepared. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= One_Skinny_Trunk { ; time=0:24:23.10-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=SliceJulibrot4 passes=t periodicity=0 center-mag=0/0/1.147423/1/90/0 params=89.999999/0/\ 89.999999/60/0.2500001/0/0/0/2/0 float=y maxiter=60000 inside=0 logmap=-3 symmetry=xaxis colors=000UDcXFe_KgbPieUkmcmmmmEmmDmmCmmCmmBmmBmmA\ mm9mm9lW8nW8pWBnYEm_HlaKkbNidPhfSggVfiYdk`clbbneap\ h_qkZsnYupXvmWskVpiUnfTkdShbRf`QcYPaWOZUNWRMUPLRNK\ OLJMIIJ8C7GHHEGEBFB9E97D6QqwOnsNlpMimLgiJdfIbcH__G\ YXEVUDTRCQNBOK9LH8JD7GA6E7zgnudjqbgm`ciY`eWYaUUYSR\ TPOPNKLLHHIEDGA9E7At`9pY9mV8iT8fQ8bO7_L7WJ6TG6PE6M\ B5I95F6ym0yh5xcAxZFwXKwVPvTUvRZuPcuNctLctKcFGCBF98\ D6GMRFLPEKNDJLCIJBIIAHGAGE9FC8FB7E96D75C5UurRplPkg\ MgbKbYHZTFUOCPJALE7G9v27s36p46m46j56g56d66a65Z75W7\ 5T85Q95N95KA4HA4EB4BB48C4zXnnSdbOWSKMGGDRVXOTUMRRK\ POINLGLIDJFBHC9F97D6oFplEliEifEfcEc`E`YDYVDVSDSPDP\ MDMJCJGCGDCDACA7C7E5xC7lA8a8AQ6BF5Q25O35M35K35I45G\ 45E4vV0dO2NI3lEviDsgDpeDncDkaDh_DfYDcWDaUDZSDWPCUN\ CRLCOJCMHCJFCHDCEBCB9C97C6iCyfCtcCp`ClYChVCdSC`PCX\ MCSJCOGCKDCGACC7C8eQhaOcYN_ULWRKSNJOJHKGGGCEC8D8`6\ 0Z71Y71W71V81T81S82Q82P92 } frm:SliceJulibrot4 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 01-07-09 (Algae on a Pond [6])
by Jim Muth 01 Jul '09

01 Jul '09

FOTD -- July 01, 2009 (Rating 6) Fractal visionaries and enthusiasts: June was the month of seahorses; July will be the month of Elephants. This means that the theme of July will be East Valley -- not only the familiar East Valley of the Mandelbrot set, but any valley of any minibrot that I suspect has East Valley characteristics. We start the East-Valley adventure today with an attractive and blazingly fast minibrot deep in the East Valley of the large minibrot on the main spike of the M-set. It is very typical of the features found in East Valley areas. I named the image "Algae on a Pond" because the colors remind me of the algae on the surface of a pond, where many years ago I used to sit and watch the dragon flies, butterflies, occasional frogs and various and sundry other things. The pond has long since been filled in, but the memories remain. The rating was held to a 6 because such images are quite familiar to every explorer of the Mandelbrot set. The upcoming East valley images however will be far less familiar, and will include some downright bizarre scenes. As I said earlier, today's image is blazingly fast. It calcu- lates in only 12 seconds. Those who would rather avoid playing with fire may view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Variable clouds, showers and a temperature of 77F 25C marked Tuesday here at Fractal Central. The fractal cats marked time while they waited for their afternoon treats to be served. The next FOTD will be posted in 24 hours. Until then, take care, and keep in step with progress. (It sounds good but means nothing.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Algae_on_a_Pond { ; time=0:00:12.90-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.7499995409\ 75928/0/2e+012/1 params=0/0 float=y maxiter=60000 bailout=6 inside=0 symmetry=xaxis periodicity=10 mathtolerance=0.05/1 colors=000yhQzhOzhLzhIzhGwkPunYrpfpsonuwlqsknoiklh\ hhfdeeaacZZbWVaSR_POZMKXJHWFDUCAT96S63T57T5AU5DU5G\ U5JV4LV4NV4PW4SW4UX3XX3_X3bYKeYQhbUkiVllZlqcmqhmtk\ msndnlXijPdhH`fA_bE__GZYIZVKYTMYQOXOQXLSWJUWGWWEYU\ F_SGaQHbOHdMIeKJgIJhGKjELlCMmAMo8Np6Or4Os3Lc3IO3F9\ 5IA6LA7OB9QBATBBWCDYCE`DFcDGeDEaGDYJCUMBQPAMR90L80\ W70Y61_52a53c54e55g5Ai5FkAJmFOoKSqPXsUauZewcjzhnzm\ qzruzvxzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzQeWWfSafOggKzgGzgCzeBzcBzaB`_BWYASXANVAJTAER9AP\ 95N91M95LC8KFBKIEJLHJOKIRNHUQHXTG_WGbZFeaFh`Ic_L_u\ PwvJvwDux7tx1tnGldUeVhZMvSQpRUjQYePa_OeUNhPMHQANSF\ TTJ1Wz6VuAVpEVkIVfMUaQUXUUSOfhSa`VYUDumKkdRbWKDfMG\ cOI`QLYSNVUQSWSPEyiIrdMl_QeWU_RCs0Hm5LhAQcEUZJ90LG\ 8MMFMSNNf_YdYVbXT`WRZVP00KyystsmonhkibfcYaZSktbhnZ\ eiWbcT_ZQfTqdUjbUd`UZZUTizC1yS6uRAqQEmQIiPMeOQaOUU\ NzMNzZNz0NrFbkKXdPSSIsUMh } END PARAMETER FILE=========================================

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