- Fractint - mailman.xmission.com

FOTD 14-11-06 (Jewel in the Night [7])
by Jim Muth 16 Nov '06

16 Nov '06

FOTD -- November 14, 2006 (Rating 7) Fractal visionaries and enthusiasts: Today's image is a blow-up of a tiny hole that was hidden nearly invisibly in yesterday's image. In my opinion, the picture is good enough to deserve a rating, so after much consideration I decided to give it a rating of 7. I reused the color palette that worked so well in yesterday's image. After more consideration I named the image "Jewel in the Night". There is something somber yet jewel-like about it. And unlike the midget in yesterday's haphazard image, the midget in today's image is surrounded by its proper 2-4-8... series of fractal elements. Unfortunately, though the image is worthwhile, it is unusually slow, taking almost 1-1/4 hours to complete on my machine. This is a bit too much time to ask anyone to spend on a fractal, but there is a way out of the quardary. I have sent the GIF file of the finished image on ahead to Paul at the FOTD web site, where it will soon be posted, ready for quick and easy viewing. The FOTD web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The rain moved out but the clouds hung on here at New Fractal Central on Monday, while the temperature of 50F 10C gave an unpleasant clammy feeling to the air. The fractal cats did not worry about the weather however. They were still busy staking claims to the new arrangement of bookshelves in the hallway. My day was slow, but I am ready to start getting around with a walking stick instead of a walker, and this will make everyday things far easier to accomplish. The next FOTD fractal will be accomplished in around 24 hours. Until then, take care, and will artificial-intelligence computers ever be able to dream while they sleep? If they do dream, how will we verify it? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Jewel_in_the_Night { ; time=1:13:57.39--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.94573709735677560/+0.000665783710186\ 24/7.10689e+010/1/7.49708298677531548/0.0037126581\ 7762087696 params=1/3.1/-1/5.9/0/0 float=y maxiter=12000 inside=0 periodicity=10 colors=000TTQUQPUOOUMNVJLVHKVFJVDIYJG_PFbVEd`DffCe\ eEedGecIecKebMeaOeaQe`Se_UeZWeZYeY_eXaeXceWeeVgeUi\ eUkeTmeSoeSqeRseQueQvfPtgPrgPphOniOliOkeQmaRoZSqVT\ sSUuPWtMXtJZtH_sE`sBbs9cr6er3fr1gr1V79O9HHBPBCPCBP\ CBPCBPDAPDAPDAPDAh_ieYfbWc_U`YSYVQVSOTQMQNLNKJKIHH\ FFFCDCAB97964732616A2AE2EI2IM2MQ2QU2UY2Ya2XaFXaSXa\ dXapYemZij_mgaofcpeeqegrdjsdltdnucpvcrwctxevvhxqmy\ mrzjvzfzz`zzXzzQzwPwsOspNonMkkLgiKdfJ`dIXaHU_GQXFM\ VFJSHKPJLMLMKNNHPOERPBTQ9VR6XS3ZT1_T9VMGQFNL9VVHbc\ PjlXrucqq`pnZokXnhVmeTlbRl_PkXNjULiRIhOGgLEgICfFAe\ C8d96c64b32b00a13`15_18Z1AY1DX2FX2IW2KV2NU2PT3RS3U\ R3WR3ZQ3`P4cO4eN4hM4jM4lXHRgT5I21K55M78N9CPBFQEISG\ MTIPVKTWNWYPZZRb`TeaYeaVhaSkaPmaMpaJrZNfWRWVTMTVLR\ XKQZJO`JMbILdHJfG8eHIhGSkGanGnuHkpGhlGehFbdF``EYXE\ VTDSPDQLCNHCKDBH9BF5BG8DHBEHEFIHHIKIJNJJQLKTMKWNLZ\ PMaQMdRNgTNjUSaVS_UTXTTVS } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

7 9

FOTD 16-11-06 (The Lost Midget [No Rating])
by Jim Muth 16 Nov '06

16 Nov '06

FOTD -- November 16, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's image shows a scene deep in a valley of the parent fractal that results when Z^2.2 and Z^3.3 are combined and C is added. I named the image "The Lost Midget". Until I stumbled upon the midget, it had been worse than lost. It had been absolutely unknown. Perhaps the most outstanding thing in the image is the fractal star surrounding the midget. The pastel color palette could have been a little more intense, but it is still pleasing. With so much work to do and so little time for fractals, I gave the image no rating. To make matters worse, the render time of over 53 minutes is slower than the image is worth. But the wait may be avoided by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A nondescript day here at Fractal Central on Wednesday made no impression on the fractal cats, who spent most of the day watching a flock of birds that visited the yard, and the rest of the day chasing each other around the house. In my department the work was heavy. But it was accomplished. The next FOTD will appear in 24 hours. Until then, take care, and I see an interesting God vs. science article in the Nov. 13 issue of Time Magazine. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Lost_Midget { ; time=0:53:46.70--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident center-mag=-0.95326329276198000/+0.273943255335962\ 80/4.772799e+009/1/-102.499459344882908/-0.0005985\ 0968978859137 params=1/2.2/1/3.3/0/0 float=y maxiter=16000 inside=0 periodicity=10 colors=000UnYbpHjq1mr1or1qr1tr1vr1xr1zr1jmyhhyfdye\ _ycWybRy`Ny_JybOxdTwfYviavkfumktootfghZ_YQTNILCAE1\ Og_T`dYUibNngGslAwgHqbOkYVeTa_OhUcoPmwO9GT2HXD`ZOs\ `QkUSdNUYHWRAXK4PK6IK8AKA3KBBOEISHPWKX_NccQjfThdMg\ bGe`AdZ4hVIlRVpNhsKuOyXXzPezInzAwz3xv6yr9yoCzkFzhH\ fTUNEfPVul7YTCCXGE_KFcOGfSHiWJm_KpcLsfM1xc9thGpmNl\ rUivcUfmFSw0Dq9GkHJePM`XPXQLUKHQEDN89K26O1AS1EW1I_\ 1Mc1Qg1Uj1Yj8`jFbaNVMRuHVtCZs7as8fq9jp9noArnAvmCtl\ DrlFqlGolHnlFihDddB_`9VX7QT5LP3GM5a`7wn7EhIGYTHNcJ\ CnK2BYpAVlATh9Qe9Oa9MZ7NT6NN5NI4OC3O62O1DNFNNT8sDZ\ uUyvjuohqifmbdiXbeQ`aK_dSYgZXjfWmmVboOTqHJrACe66T2\ 5FQ41lD6gLBcUGZaLVjQQrUMnUTjU_wbkgUfSLaDDXOJSYPNiV\ 8gUJlLMeUU_aaUiiWoQXt6OjJFaVHTSJLPLCMN4JW4Tc4ak4ks\ 4tiBr`HpROnIUlAUn9_j8ef7kb0xV6pZChaIadNUhTNkZFnc8q\ YElTJgOObJTYEYTISRNMORGMVAJZ5H_HR_T``dj`otgjtmfttb\ tzZtt`snbrhdqbfpXhoRjnLln } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 15-11-06 (Into the Abyss [No Rating])
by Jim Muth 15 Nov '06

15 Nov '06

FOTD -- November 15, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's brief diversion takes us to the fractal that results when Z^5.9 is subtracted from Z^3.1 before C is added. This parent fractal is a distorted but quite recognizable Mandeloid rotated 180 degrees, with East Valley, which is now on the west side of the main bay, broadened into a wedge. Today's scene is located in a disconnected but intricate bit of chaos near the north edge of the wedge blade. I gave the image no rating, though it really is good enough to deserve one. I named the picture "Into the Abyss". "Which abyss?" one might ask. Why the bottomless fractal abyss of course. After all, the parent fractal is half-infinite. Like heaven, which has a beginning but no end, the parent fractal has a limit in only one direction. It has a top but no bottom. The render time of 20 minutes is slightly slow, but relief for impatience is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image is posted for quick and easy viewing. Clouds and drizzle hung tough over Fractal Central on Tuesday. The local fractal cats finally grew tired of the new arrangement of bookshelves, and spent most of the day just sitting on their shelf by the window, waiting for something interesting to happen outside. Not much ever did. They did not grow totally enthusi- astic until the time for their evening treats arrived. My department was moderately busy. Everything that needed to be done was done. Tomorrow looks to be much the same. The next FOTD will appear in 24 hours. Until then, take care, and if com- puters ever start to dream, what will they dream about? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Into_the_Abyss { ; time=0:20:03.80--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.38458880872176210/+0.018519891011102\ 90/2.202793e+007/1/35/1.46862571727413016e-006 params=1/3.1/-1/5.9/0/0 float=y maxiter=7500 inside=0 logmap=340 periodicity=10 colors=00028T4GQ6NU8VZ9oUB`WD_XEZZGY_IY`JXbLWcNVdO\ VfQUgSTcTSeVSfXRgYQi_PjsPkZCYYOkWNeVNcTNaSM`QM`PM`\ NL`ML`KL_JKZHKYGKYLIVQGSUEPZCLcAHg9EmICsRBxZAsWCoU\ DkSEfQFbOGZMIUKJQIKMGKIEKHDKHDKHDKGDKGDKGDKFDKFDMF\ DOEDQEDSEDTDDTDDUDDUCDVCDVCDWCDWZpLXkOVgRUcTSZWRVZ\ PR`ONcMIfLEhJAkI6mJ8jJAgJBeJDbJF`JGYJIWJKTJLRJNOJO\ MGUJDZHAdE7iC4o91t74s96sB8sDBrEDrGFrIIqKKqLMqNPqPR\ rRTsSmsUutWotXlvWbsS_pPXnMUkJRhFOgCLe9Ic6Fb3GZ9HWF\ HTKIPQIMVJJ`JFeKCkD6vH8sK9pNAmQCjTDgWEdZFbaH_dIXgJ\ UjLRmMOpNLsOJrRLqUNpUOoZQzrSncTm`RlZPkXzjVziTzhRzg\ PFfMEeKCdIAcG8bE6aC4`A2`81YC5WG9TJDRNHOQLMUOJYSH`W\ Ed_Cmz9kz7nz6mz6gh6dg6af6Ze5Wd5Tc5Qb5Na6Bn5Gg5K`4O\ U4SN4WH8VIBVJFUKIULMTMPTNSTOWUPZZQbcRehSimTlrUxvao\ zUgzM_zESz6Uz8Vz9XzAYzBZzC`zDzzEzzFzzHzzIzzJzzKzzL\ zzMzzNzzGzzKzzOzzTzzSzzSzzSzzSzzSzzRzzRzzRzzRzzRzz\ QzzQzzQzzQzzQzzPzzQzzRzzS } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

Re: FOTD
by jackoftradez＠comcast.net 14 Nov '06

14 Nov '06

. ZooM in2 Muth FOTD Oct 29 2006 iz posted: 640x480 WMV: http://www.fractal-animation.net/vid/mz4_wmv.zip 800x600 AVI: http://www.fractal-animation.net/special/mz4_avi.zip 74 sec runtime .

1 0

FOTD 13-11-06 (Something Missing [No Rating])
by Jim Muth 13 Nov '06

13 Nov '06

FOTD -- November 13, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's image is named "Something Missing". But what is it that the image lacks? A closer examination will reveal that the ex- pected 2-4-8... progression of elements leading to the midget is missing. Why the midget at the center must be so different is a mystery, but this kind of thing happens all the time in the world of fractals. This lack of orderly progression seems to happen only in fractals created by combining two or more powers of Z, and the area where it happens is usually quite critical to the value of the parameters. In addition to the main midget, the image is filled with smaller holes of all shapes and sizes. I will further investigate a few of these, and if any prove interesting, they might appear as a future FOTD. In keeping with the trend of late, I gave the image no rating. The render time of 20 minutes is a bit slow. Welcome relief is at hand however on the FOTD web site, which may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished image will be found posted and ready for viewing. A cold, raw, rainy day with a temperature of 43F 6C here at New Fractal Central on Sunday did not bother the fractal cats, who spent the day having fun with the new arrangement of bookshelves in the hallway. When treat time arrived, they were well pre- pared to be fished and cheesed. My day was as good as might be expected considering the circum- stances. The next FOTD will appear in 24 hours. Until then, take care, and see you soon. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Something_Missing { ; time=0:20:02.22-SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.94573749860878230/+0.000665961853232\ 53/556644.7/1/-102.5/3.28541888000577487e-008 params=1/3.1/-1/5.9/0/0 float=y maxiter=12000 inside=0 periodicity=10 colors=000aofcpeeqegrdjsdltdnucpvcrwctxevvhxqmymrz\ jvzfzz`zzXzzQzwPwsOspNonMkkLgiKdfJ`dIXaHU_GQXFMVFJ\ SHKPJLMLMKNNHPOERPBTQ9VR6XS3ZT1_T9VMGQFNL9VVHbcPjl\ Xrucqq`pnZokXnhVmeTlbRl_PkXNjULiRIhOGgLEgICfFAeC8d\ 96c64b32b00a13`15_18Z1AY1DX2FX2IW2KV2NU2PT3RS3UR3W\ R3ZQ3`P4cO4eN4hM4jM4lXHRgT5I21K55M78N9CPBFQEISGMTI\ PVKTWNWYPZZRb`TeaYeaVhaSkaPmaMpaJrZNfWRWVTMTVLRXKQ\ ZJO`JMbILdHJfG8eHIhGSkGanGnuHkpGhlGehFbdF``EYXEVTD\ SPDQLCNHCKDBH9BF5BG8DHBEHEFIHHIKIJNJJQLKTMKWNLZPMa\ QMdRNgTNjUOmVOpXPsYPvZNtXMsVKrTJqRIoQGnOFmMElKCjJB\ iHAhF8gD7eC6dA4c83b60`62a54a56b58b5Ac5Cc5Ec5Gd5Id5\ Ke5Me5Ne5Pf4Rf4Tg4Vg4Xh4Zh4`h4bi4di4fj4hj4in0ij4ig\ 7icBi`EiXHiULiQOjOPiNRhNTgMVfMXeLZdL`cLbbKdbKfaJh`\ Jj_JlZInYIpXHrWHtWHvXIuXJtYKtYLsYMrZNrZOq_Pq_Qp_Ro\ `So`TnaUnaVmaWlbXlbYkbYkaWl`Um_Sn_QnZOoYMpXKqWIrVK\ sUMtUQuVUuWYsXapYemZij_mg } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 12-11-06 (Beyond the Limits [No Rating])
by Jim Muth 12 Nov '06

12 Nov '06

FOTD -- November 12, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's image is named "Beyond the Limits". I gave it this name because with its magnitude of almost 4*10^13 it goes beyond the usual limits of conventional double-precision math. The parent fractal came about when I mixed Z^2.2 with Z^4.8 and added C. There is a midget at the center of the image, but it lies far beyond the limit of resolution. We can only imagine what it must look like. The mathtolerance entry in the parameter file was necessary to assure that the file calculates at the correct magnitude. The flat background came about when I raised the logmap to a value far greater than necessary. As for rating the image, I didn't bother. I doubt that I'll resume the FOTD image ratings until I'm back on my feet and feeling my old self again, which I suspect will be 2 or 3 weeks yet. With its render time of 25 minutes, running the included parame- ter file is not the most efficient way of viewing the image. The most efficient way is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the finished image posted there. Another near perfect day here at Fractal Central on Saturday (lots of sun and a temperature of 70F 21C) went un-noticed by the fractal cats, who continued to amuse themselves exploring the new row of bookshelves in the hallway. They had so much fun chasing each other over the shelves and behind the books that they had to be called twice for their evening treats. My day was frustrating. On most days I have a positive attitude about my incapacitation, but today I wanted to do so much and was able to do so little that the frustration got the better of me and I slipped into a funk. But the fractals were still there when I needed a diversion. They are going nowhere. The next FOTD will appear in 24 hours or so. Until then, take care, and there will be light for those who seek. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Beyond_the_Limits { ; time=0:25:06.94--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=t center-mag=+0.43622676158194220/+0.605949061492471\ 00/3.800472e+013/0.9998/-7.63657221548883847/0.181\ 713337643773454 params=1/2.2/1/4.8/0/0 float=y maxiter=5000 inside=0 logmap=1072 periodicity=10 mathtolerance=0.05/1 colors=000RPUcM8bHB`BE_6HZ1JEYLFWPGUSHSVIQYJOaKMdL\ KgMIjNGmKIoHKqMMrQOrUQsYSsbUtfWtjYunZunZunZunZunZu\ k`piakgcfedaceXagS_hNYjIWkDUl9YjHahPefXiddmblqatmK\ `j2Hi6RiA`iEjhFifGheHgdIfbJeaKd`LdZKcXKcVKbUKbSKaQ\ JaPJ`NJ`LJ`KJ_II_GIZFIZDIYBIYAIY8HU7GR6FN5EK3DH2CD\ 1BA0B7DC6QD5aD4nE3zE3pH8gKDYMIPPNFSS6UXHQSSMObIKcJ\ OdKSdLWeMZeNbfOfgPigQmhRqhRtiQujQukPvlPvmPvnOwoOwp\ OwqNxrNxsMytMyuMyvLzwLzxLzwNvvOsuPpuRmtSjsTfrVcrW`\ qXYpZVo_Ro`OnbLmcIldFleCmdFmcHmcJmbLmaOmaQn`Sn`Un_\ XnZZnZ`nYbnYdoXepVfqThrSisQjtOkuNlvWzwJtxIpyGqzErz\ DsqNkiWce`XadQZiJVmCSq5PiBNZGLVMJORHHWMKZQM`UPbYRe\ aUgmZtUUcdVjcVjrlcpkenjhlijjhmffreftggshhriirkiqlj\ qmkpnkpploqmnrnntnmuomvplwplqkilgfgbcbZ`YVYYU_ZUbZ\ TdZSf_Si_RkC7NOH`ZI5_LHUUUkTXkRUhUQfXMd_IbbF`eBZh7\ Xk4PgCHcJ9_Q2WXSMWpDWlCUiCSfBQcBP`ANYALVAKW9IW8HW7\ GW7FW6DW5CW5BW4AW38W37000 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 11-11-06 (Fractal Ghost [No Rating])
by Jim Muth 11 Nov '06

11 Nov '06

FOTD -- November 11, 2006 (No Rating) Fractal visionaries and enthusiasts: Do ghosts exist? The answer is most certainly yes. What then are they? This question is much more difficult to answer. But whatever they are, ghosts most certainly do exist in the world of fractals as well as the so-called objective world. And in the case of fractal ghosts, proof of their existence is at hand, for I have caught one in my fractal ghost net. Today's image is a scene in the fractal that results when Z^2.5 and Z^4.5 are combined and C is added. I'm not sure what the brilliant blue but partially obscured thing is. It certainly is not a quadratic midget. It looks something like a cubic midget, but if so, it is a very distorted one. The only thing that describes this background thing is a ghost, so I named the image "Fractal Ghost". I get the impression that the ghost would fully reveal itself if initial Z were set to a different value, but I have no idea how to determine that value. As it is, the image received no rating, but even un-rated, it is worth at least a brief look. This brief look may be found by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. Viewing the image on the web site will also avoid the 5-1/2 minute wait while the image renders. Another perfect day (blue skies and a temperature of 66F 19C) here at New Fractal Central on Friday went un-appreciated by the fractal cats, who were more interested in the modular book- shelves fractal lady is assembling in the long hallway. Empty shelves give cats nearly unlimited fun. My day was highlighted by a call from my sister, who is now living back at Old Fractal Central with the old fractal cats Thomas and Tippy. She told me all is well back there and the old cats are sleeping as soundly and enjoying as many tuna treats as they did when I was there. She also told me that it might be a month or two before my sprained ankle and torm calf muscle are fully repaired. Oh well, I'm kind of enjoying all the extra attention I'm getting while hobbling on my walker, but I still can't wait until I'm up and about again. The next FOTD will appear in 24 hours. Until then, take care, and who is Kenneth Spratling? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Ghost { ; time=0:05:26.26--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.65593790068438440/-0.012698613943719\ 61/353.756/1/47.5/-1.26836041669520228e-013 params=1/2.5/1/4.5/0/0 float=y maxiter=1800 inside=255 logmap=16 periodicity=10 colors=000z`7w`7ra6ma6hb6cb5ac5_c5Yc4Xd4Wd4Ve3Ue3T\ e3Sc6Ra8Q`APZCOYENWGMUINTKPRMQQOROQSMSTLVUJXVIZWG`\ YEbZDd_Bf`Aha8jb6lc5nd3pg1sf2re2re2rd2rc2rc2rb3rb3\ ra3r`3r`3r_3r_4rZ4rY4rY4rU4rK4tA4r20t42s53r74q86p9\ 7pB8oCAnDBmFClGDlIFkJGjKHiMJhNKhOLgQMfROeTPdUQdVSc\ XTbYUaYVbXWbYVaZVaZVa_Ua`Ua`UaaTabTabTacTadS`dS`eS\ `fR`fR`gR`hQ`hQ`iQ`kS_jR`iQ`hPagOafNaeMbdLbcKcbJca\ Ic`Hd_Gd_GeZFeYEeXDfWCfVBgUAgT9gS8hR7hQ6iP5iO4hP5i\ P6iQ7iQ8iR9jR9jSAjSBjSCjTDkTDkUEkUFkVGlVHlVHlWIlWJ\ lXKmXLmYMmYMmZNnZOnZPn_Qn_Qn`Ro`SoaToaUobVpaUoaUna\ TmaTlaTk`Sj`Si`Sh`Rg`Rf_Qe_Qd_Qc_Pb_Pa_PaZO`ZO_ZNZ\ ZNYZNXYMWYMVYMUYLTYLSXKRXKQXKPXJOXJNXIMXJNXJNXJNXK\ NXKNXKNXLNXLNXLNXLNXMNXMNXMNXNNXNNXNOXOOXOOXOOXOOX\ POXPOXPOXQOXQOXQOXROXROXROWTNXROYQPZPP_OQ`NQ`MRaLR\ bKScJSdITdHTeGUfFUgDVhCViBWiAWj9Xk8Xl7Ym6Ym5Zn4Zo3\ _bYA`Z9_Z9ZZ9Y_8W_8V`7fzz } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

Fractal animations have finally made it to YouTube.com
by Hal Lane 10 Nov '06

10 Nov '06

Fractal animations have finally made it to the infamous video site, YouTube.com. Jock Cooper has posted several of his animations. Here is one: http://www.youtube.com/watch?v=XAx4WmMlljY&mode=related&search= Unfortunately, the quality is not too good -- they are encoded as Flash animations. His main web site is: http://www.fractal-recursions.com/ where he has both great fractal images and much clearer versions of his animations in MPEG format -- many with music -- some with fractal music. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.409 / Virus Database: 268.14.1/527 - Release Date: 11/9/06

1 0

FOTD 10-11-06 (Hidden Mystery [No Rating])
by Jim Muth 10 Nov '06

10 Nov '06

FOTD -- November 10, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's mysterious and strangely ominous image came about when I decided to explore the fractal that results when portions of Z^3 and Z^5 are combined and C is added. Sensing a mystery, I named the image "Hidden Mystery". Most of the ominous effect is due to the unusually dark colors I gave the outer terraces, which were produced by rendering the scene with the outside set to 'tdis'. Once again, I gave the image no rating. I cannot rate something that was found virtually automatically. The calculation time of almost exactly 9 minutes is a bit on the slow side, but the wait may be avoided by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Brilliant sun and a surprisingly warm temperature of 66F 19C here at Fractal Central on Thursday went un-noticed by the fractal cats, who entertained themselves most of the day by exploring the intricacies behind the books on the hall book- shelves. When their adventures were over, they fully enjoyed their evening treats of tuna and cheddar. In my department, the current rush is nearly at an end, but my bum ankle still has a long way to go. The next FOTD will appear in 24 hours or so. Until then, take care, and fractals are here to stay. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hidden_Mystery { ; time=0:09:00.04--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.50289687545943580/-1.148662140404605\ 00/136824.3/1/-17.5/-1.96581140948781652e-009 params=0.8/3/0.5/5/0/0 float=y maxiter=2000 inside=0 outside=tdis periodicity=10 colors=000XMUWNTWNTWNSVORVOQVOQUPPUPOUPOUPNTQMTQLT\ QLSRKSRJSRISRIRSHRSGRSGQTFQTEQTDPUDPUCx`toWrfSqZNp\ QJoEBmIFnMJnQNnUQoXUo`Yod`phdplhprmsokplimihjffgde\ eacbZa_W`XTZUUaQRYSPVTNRVLOWJKYGHZED`CAaA6c71c83d9\ 4eA5fB7gC8hD9iEBjECjFDkGFlHGmIHnJJoKKpKLphwPgsQgoR\ fkSfgTedUe`VdXWdTWcPXcMYbIZbE_aA`a6aa3aZ4_W4ZT4YQ5\ XN5WK5VH5UE6TB6S86R24R56Q88QBAQECQHEQMPWQ_`ZriUjeP\ cbKW_GPXBHU6AR23O77TBAXFEaJHeNLiROnVSrZVvVPoRJiODc\ K7YI0TH1SG2RF2RE3QD4PC4PB5OA6N96N87M78L68L59K15H59\ K8CNCGQFJSJNVMQYQU`TXbX_e_chcfkfjmjmpmqsqtvvyztwxr\ vvqutotrmsplrnjqlhpjgohenfdmebeaaYZ`QW_ITZAQY2Nb5U\ g7`lAfqCmvFtzHzYqpZmn_il`fjabha_fbWdcSbdPaeL_eIYfE\ WgAUh7Si3Qi0Pf8OdGObNO_VNYbNWiNXDmXDmYDmYDmZDmUDmU\ DmVDmVDmWDmWEmXEmXEmaczbZzbUzcPzcKz_FzVEzQEzcFzcFz\ cFzcFzbGzbGzbGzaHzaHzaHzaHe`Ie`Id`Ic_Jb_Jb_JaZK`ZK\ `ZK_ZKZYLYYLYYLXXMWXMVXMV } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 09-11-06 (Into the Tunnel [No Rating])
by Jim Muth 09 Nov '06

09 Nov '06

FOTD -- November 09, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's curious image is of a midget in the Z^(1.1)+C Mandeloid as it appears 111 levels up the logarithmic ladder. Midgets are hard to find in Mandeloids of such a low order, but the 'fmod' outside option is a lot of help. I named today's image "Into the Tunnel". The tunnel might well be the one a fractalist enters as he leaves this world. Since there is supposed to be a bright light at the end of this type of tunnel, I colored the central midget a bright white. I gave the image no rating. I found too little time to give the coloring the attention it deserves. As a result, there is a kind of muddiness that detracts from the effect of light at the end of the tunnel. The render time of 6-1/2 minutes is within reason, but still a bit slow for the more casual fractalist. The fastest way to see the tunnel is to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the image there. Morning rain gave way to afternoon clouds here at Fractal Central on Wednesday, while the temperature hovered around 52F 11C. The fractal cats had nothing to say about the conditions. With me, the work was still quite heavy, but I managed to find time for today's image. And my bum leg is showing the first hints of improvement, so there may indeed be light at the end of the tunnel. The next FOTD will appear in 24 hours. Until then, take care, and walk serenely. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Into_the_Tunnel { ; time=0:06:30.24--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.08221084534881777/-2.303366298743350\ 00/6.603212e+007/1/-157.5/1.62107878681760909e-006 params=1.1/0/111/0 float=y maxiter=2500 inside=255 logmap=178 periodicity=10 colors=000ZT2XS3VQ4TP5SO6QM7OL8MJ9LI9JHAHFBFECEDDC\ BEAAF88G77H56I34J13K02K1BJ1JJXSIbbIilHpvHzlFqcDfVB\ WN9XF7c85iK3oc1iK4cA7Z0AT0CO0FI0ID0KHaFImPJXZKUhLS\ rLUuMUqNKmOchPFcPDZQEUQFPQFRQGTQGVQHXQHZRI`RIbRUcR\ JfRKhRKjRLlRLmMOzHFzCSg7be2Wc0Yb3SZ7MVBHRFBNJ5JN0F\ N0DN0CM0FL2IK3KJ5NJ7QI8SHAVGCYGCaGD_GEZGFXGGWGHUGI\ TGJRGKQGLOGLNGMLGNKSMDMHHGCLA7O42S00V30T71RB3QF4OJ\ 6MN8LR9JUBIYDGaEEeGDiIBmJ9qL8uN6xO5rFGm7Rh0`piukfm\ fdeabYY_QTYIOWAKU2NR1QP0TM0WK0ZH0`F0cD0fA0i80l50o3\ 0q10o30n50m70l90kB0iG1gL2eQ4dV5cT4cR4cQ4cR4cS4cT4c\ U4cV4cW4cX4cY4cZ4b_4b`4ba4bb4bc4bc4bK4bM4bO4bQ4bS4\ bU4cU5cU5cU6cU6cU7dW7dZ8da8dd8dg9zj9zmAzpAzpBzpBzp\ BzpAzp9zp9zp8zp7zp7zp6zp5zp5zp4zpAzpFzpKzpPzpUzpZz\ pczphzpmzprzpwzpzzpzzpzzpzzpzzpzzpzzpzzpzzpzzpzzpz\ zpzzpzzpzzpzzpzzpzzpzzpzzpzzpzzpzzpzzpzzpzzpzzpzzp\ zzpzzpzzpzzpzzpzzpzzpzzzz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

FOTD 08-11-06 (Random Randomness [No Rating])
by Jim Muth 08 Nov '06

08 Nov '06

FOTD -- November 08, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's image is a part of the same parent fractal that held yesterday's image, which itself is a near duplicate of an image that appeared back in April '06. I named it "Random Randomness" because of its apparently random mix of order and chaos. Having spent only 5 minutes finding the scene, I could not give it a rating, but the image is marginally worth the 12 or so minutes required to render it. As a last resort, the image may be viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted for fractal convenience. Morning clouds gave way to afternoon rain here at New Fractal Central on Tuesday, while the temperature of 50F 10C made things feel just a bit chilly. The fractal cats, who have yet to go outside, were not concerned with the weather. They spent the day chasing each other up and down the hallway. In my depart- ment, the heavy work kept me from fretting too much about my banged-up ankle. The next FOTD will appear in 24 hours, weather permitting. Until then, take care, and where is Godot? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Random_Randomness { ; time=0:12:14.14--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+1.76128351612239600/+0.054989312406758\ 63/295699.2/1/180 params=-1.4142/3.1416/1.618/2.71\ 83/0/0 float=y maxiter=2000 inside=0 periodicity=10 colors=000WkpJil6hi4fj3ej2cj1bj5de9faDgYGV`JJcac_s\ wXquZpt`nsbmrdlpfjohinjhmkelbbkU`jMYiDWh5agEggMmgU\ sgaygixhkxhmxhoxhpS1VYfvcdnhbfn`Zs_RrZVqYZpXaoWenW\ hdfVWpIZgI`ZIcRIeIIh9Ij1IZFONTTCeYPaV`YSlUPxRNsQSo\ PWkP_gOccOgfMbiLYlJToIPrGKuFFwEBtPOq__nikkahhVefOb\ cG_`9XZ2VX5_V7cU9gSBlQDpPFtTNsWUr_`qbgpabdaZT`UH`Q\ 6YJh`LPbM5ZQ5VT5SW5OZ5Ka5Hd5N_7SW8XRAbNBgIDlEEmAFe\ RQVW_JXj8WtEZrKbqQfpWjnanmfpliqkksjmtjpuirvitxhvxh\ qdmlLqg2ub8rZDoVJlROiMTfIZcEc`AhZRUSgFLw0Fd4XM7nMD\ hMJbMPXMVRM`LMeFObFQ`FizzTzzKxw9vqDqlHjiKbdOWcRHNV\ 8HY0BZ1CZ1C_1C_1C`2D`2Da2Da2DJtqKrmLqjMogNndOmaDme\ 3mi9Subu6P`UCGqGToKemOrlXi`e`PnSDwJ2iBRW3o_dvJfWPX\ QUOLZFGc6BbBEaFH`JK`NNglHWeJLZKaMHrAFLGzVXicmTLjI2\ g8DfJOeTZdbhclcY_ZTOUOCTPLPPhSPURQb42QGE`OvtQeo2JP\ 9LVFN_LPeNV9bwmXfkDgqpUBcSTNN1HuLLjUO_bWnvUerSYner\ v`hrWZnEcOLX_iCLqPAuowhms } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 06-11-06 (Flowery Fields [No Rating])
by Jim Muth 05 Nov '06

05 Nov '06

FOTD -- November 06, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's image lies in the fractal that results when portions of Z^(PI) and Z^(EPSILON) are combined and C is added. When I saw it, I was reminded of butterflies drifting above a flowery field. I named it "Flowery Fields". In keeping with the trend of late, I gave it no rating. The render time of 4-1/2 minutes is fast enough, but even more speed may be found by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. Things were reasonably peaceful here at Fractal Central on Sunday. The cats were quiet and my mood, though still sullen, was just the tiniest bit improved. The next FOTD will appear in 24 or so hours. Until then, take care, and look for the light in the darkness. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Flowery_Fields { ; time=0:04:30.45--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.61177175507422070/+0.000510316625769\ 40/1.666749e+008/1/155/1.6986109808991845e-007 params=-1.4142/3.1416/1.618/2.7183/0/0 float=y maxiter=2000 inside=255 periodicity=10 colors=000JDj96be0jPbRCJR`TjOJjC9`2Pj1Ij1Cj06ag3iX\ 2dM1_B0VdFjUBjK7jA3culRYTbGkdEoaCsZBwWFnhJejNXjeXj\ `cjXjjTpj6UjLbjEQj7D`6ej4Vj3Lj1AdsZjeQjSHjE8bU6jK4\ jA2`CgZ8TW4ETKhjDUj6F`fYeaajPPiCC_fwSLURIXg9GZPh0I\ X0CM06B0YG0U50F20XE01O0pA0mz0K_0wz06CUYz0Me0B10zm0\ cU0F4Xvf0TLbYijME_B7VhYjXL0ME0B7ejhjVUjFFc4nj3aj2P\ e1CYk0jO0j81_50X20UIVRDNR9FR47RBVj5FjyQjiJjVDjF6bV\ MjNjhBN_h8jM4gorfQRZxbgUJZhXjXojMYjBHeZmjNXdBGY5xj\ _DalnjWYjGHdw5jbojTbhJQb9DXgojMQ`mojPQjBUjQLTJFSDA\ S65RAPc7I_5CX26UwVjcKjKAddwdKUYKhXCQj9Jj6Dj36bXgjM\ TjBEiu2jT1e1Zj0Qj0Hg08Z77j33j`vUObTCJSZHXH8UwMjcEj\ K7gEsYsfj`SjIE`zYj7ij4Uj2FiafjSWjJLe9AYfqjWchLRbAD\ XTQT2sj1ej1Sj0Ee2Lj1Ajg2jM1jn`daR`PIYC9U_zjRjjIVc9\ FXtxjehjSUjEF`t1Va0TJ0SMDanUjaMjPFjC7bzNjT4jJ2j91`\ rKe_D`I6WuXjSNjZHjH8dL6W5Kj3Fi2Ac15XaBjJ5cJ4jsPjLX\ jEMj7BgrojdbjRQjDDaaRjSKj } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 05-11-06 (Casually Speaking [No Rating])
by Jim Muth 05 Nov '06

05 Nov '06

FOTD -- November 05, 2006 (No Rating) Fractal visionaries and enthusiasts: My leg may be colored with the browns, purples and blacks of a muddy piece of abstract art, but unlike today's image, there is no Mandelbrot set hidden in the center. Today's sinuous fractal lies in the parent fractal that results when a little Z^(-1.1) is subtracted from some Z^(1.1) and (1/C) is added. The sinuous effect was achieved by rendering the image with the outside set to 'real'. I named the image "Casually Speaking" for no apparent reason. I gave it far too little effort to be worth a rating. The brief render time of 3-1/2 minutes will try the patience of no one, especially when the finished image is viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Partly cloudy skies and a temperature of 39F 4C made things pleasant enough outdoors here at Fractal Central on Saturday. But indoors the air was filled with occasional 'thumps' as I hobbled from room to room on my walker. The fractal cats don't quite know what to make of the device, and usually stay well out of my way. But when I settle into my easy chair and put the walker aside for a while, they are soon there to check things out. I hear that such injuries take up to 8 weeks to heal in vigorous young people, and I have not been one of them for quite a while. Well, all I can do for now is keep nursing my bum foot and leg, and keep thumping around. Unless another bout of the blues comes on, and I start feeling sorry for myself, the next FOTD will appear in 24 hours. Until then, take care, and hop with the bunnies. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Casually_Speaking { ; time=0:03:27.23--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.27993151966180820/+10.54215200099042\ 000/6934.824/1/100/-4.69954908322023357e-011 params=-0.1/-1.1/1.1/1.1/0/0 float=y maxiter=1400 inside=0 outside=real periodicity=10 colors=000_w4Vp8RiCNcGJXJFRNBKR7EU2ty9ouFkrLgnRckY\ ZhcVdiRaoNZqKYrHYsEXtBXlHadMeXRiPWmH`q9euUormxplWT\ l46j34h33f32d31h70lA0pD0mWxhUhcTTAoJJgHR_FtuDlkDea\ DBY_NVO01h78`GFTQMLYUXZTQZSJbMh0YRGVK8cKusBukCrZCZ\ KDM23RB7`KAP0MJeJRZGjwTflNbaI2LVDOPOQJbHuaKi`NZ_QO\ UaOUc`XYP5QaKRPRoQRk6VaAZH0hUJcPGljwhobeiWccQ`YJkP\ 98I4HM7QPALwdadompUiiPecLaYHRltUeeXZRoHsiLdcPRrpzm\ imhcacYPpVlkUcgTVbSMQMPOYDUVDJq5Nj7Rd9VYB_ltZaZ16o\ kv2gn5df8aZB44UKGLLs7Pl9SeAWZCiQUfRPcRL`SHZuvZkfZa\ S4bJFZHPVFbkbafW`aQ_XJ0pAg7yMEpQIfTLXWPNMvlRk`VaPV\ zVkBEfHDbNDS6qUCfWHXYNNKNbOPWSQQWRJgSHdSFaSEJc0N`4\ RY7VVAlq3YQ8ZRB7YtNoL0KOHOIbag`XSdKhjgGIHqFPoBWm7c\ k4ji6c`7XS8RJ9KAAE29DF9DS9DdAIQANBCP9ER7GT5IV3JX2G\ V7DTBARG8PK5NO2LT0JX0I`nO7oREpTKqVQrYWs_atagqQ_nES\ l2Kl8RlEYlKclQjlVpiTpfRpdPpaNpZLpXKp`IqdGrhErlCsoA\ seDnXGjOIfFLa6OY0QUAaLNlC } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

3 2

[RE][Fractint] Hard times at Fractal Central
by Russell Walsmith 04 Nov '06

04 Nov '06

1 0

Hard times at Fractal Central
by Jim Muth 04 Nov '06

04 Nov '06

Fractal fans: I am sorry about not posting my usual FOTD's, but needing to get around on a walker and being unable to do the things I usually do, my spirits are very low. I guess I'm just not used to being laid up. In my present state of mind, it is impossible to write in my normal manner, and I don't want to make the FOTD a message of depression. I will be able to post only an occasional FOTD until my bum ankle starts to come back on-line. Everyone tells me that I will soon be on the mend, but I don't know how soon. When I notice definite improvement, my old self will soon return. Until then, take care, and be patient. I will not abandon the FOTD. P.S. The fractal cats are doing fine. In fact, with their displays of affection they almost seem to be trying to comfort me. Jim M.

2 3

FOTD 01-11-06 (All the Same [No Rating])
by Jim Muth 01 Nov '06

01 Nov '06

FOTD -- November 01, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's image shows a midget in the Z^(10.01)+C Mandeloid as it appears 100 levels up the logarithmic ladder. It shows why fractals in this range are virtually ignored. Basically, they all look the same, and the universal sameness is not particular- ly interesting. I did my best with the thing, but with so little to work with, there was not much I could do. I gave the image no rating and named it "All the Same". The render time of 2 minutes is surprisingly brief. And even this short time may be avoided by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. A beautiful sunny and warm fall day, with a temperature of 70F 21C here at New Fractal central on Monday went un-noticed by the fractal cats, who slept away most of the day. I passed most of the day in my easy chair or hopping around on my walker, waiting for the recovery of my sprained ankle to reach the point where I can kick the walker good-bye. On some days I get concerned and depressed at the slowness, and I lack the energy to write the FOTD, which explains why there was no FOTD for October 31. But badly sprained ankles don't heal overnight. Luckily, the regular graphic work is quite slow, and unless I fall into another bout of depression, the next FOTD will appear in 24 hours. Until then, take care, and look for the golden lining. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= All_the_Same { ; time=0:02:07.64--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.97597907569757680/+0.003611381692242\ 21/3.838319e+011 params=10.01/0/100/0 float=y maxiter=1250 inside=0 logmap=41 periodicity=10 mathtolerance=0.05/1 colors=000cN5bM5bM5aL4aK4`J4`J4_I3_H3ZG3ZG3`J6bL9d\ OCeQFgTIiVKkYNl_QnbTpdWqfYodZmbZl`_jZ_hX`gV`eT`cRa\ bPa`NbZLbYJb_MaaO`cR`eT_gW_iYZk`ZmbYoeYqgXsiXrfYrc\ Yr`ZrYZrV_rS_rP`rM`jOccQfXSiPUlIWoBYr4Zu8XpBWlEVhH\ UdKT`NSXRRTUQPXPL_OHbNDeM9hL5eM9cND`NHZOLWOPUPTSQX\ PQ`NRdKRhISlGSoEQjDOeBM`AKW8IR7GM5EH4CCD9EM6GV3Ic1\ KbGXaUh`gtXeqTcnQbkTZjWWjZTiaPidMifJhiGhlCho9gr6gt\ 3gTHf2Ue6Rf9UgCZhFciJhiMmjPrkSvlVzmZzmazndzogzpjzp\ lzmmzjozgpzdqzaszZtzWuzTwzQxzNyzLvzKszJpzJmzIjzIgz\ HdzHazG_zGYzLWzQUzVSzZQzcOzhMzlKzqIzvHzzLzsOzlSzeV\ zZZzSazLezEhz7kz1iz5hz8gzBfzEdzIczLbzOazR_zVZzYYz`\ XzcYzbZza_z`_z_`zZazYbzXbzWczVdzUezTezTfzRfzQjzWnz\ arzgvzmzzsvzrszqozplzohzneznbzmZzlWzkSzjPziMziHzYC\ zN7zC2z1AzBIzLQzUYzcezmmzvkzwizwgzwfzwdzwbzw`zw_zw\ YzwWzwUzwTzwSzuSzsSzqSzoSzmSzkSziSzgSzeSzcSzaSz_Tz\ `UzaVzbWzcXzdYzeZzedz6cz5 } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

Thanks for providing the link to your web site, Gilles
by Hal Lane 30 Oct '06

30 Oct '06

>> Gilles Nadeau wrote: >> > Here an image made with a formula >> > of Russell Walsmith. I thought >> > perhaps that that would interest >> > of people of this list. >> > http://www.mathsong.com/casaraku/pages/022/20051108.htm Thanks for providing the link to your web site. You have created many very pleasing fractals. Thanks for sharing them with us. Keep up the good work! - Hal Lane [Fractint] [Philofractal] ######################### # hallane(a)earthlink.net # ######################### -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.408 / Virus Database: 268.13.17/505 - Release Date: 10/27/06

1 0

FOTD 30-10-06 (FOTDette for Today [No Rating])
by Jim Muth 30 Oct '06

30 Oct '06

FOTD -- October 30, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's image takes us to the fractal that results when Z^(-6.67) is subtracted from Z^(-1.667) and (1/C) is added. To add to the interest I reduced the escape radius to 44, which makes the outside parts solid, and rendered the scene with the outside set to 'tdis'. The resulting image falls short of FOTD standards, so I gave it no rating. The name "FOTDette for Today" needs no explanation. The 5-minute render time will try the patience of very few. The completed image is posted for easy viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The cloudy, blustery and chilly weather continued here at Fractal Central on Sunday, with a high temperature of only 46F 8C. The fractal cats spent the day surprisingly peacefully. Maybe they feel guilt about my bum ankle. With me, it's still the bunny-hop, with the addition of a few upper-body sore muscles due to the unusual exertion of supporting my weight with my arms and hands, on the walker. If all goes well, and why should it not, the next FOTD will appear in 24 hours. Until then, take care, and watch for cats who don't put away their toys. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTDette_for_Today { ; time=0:05:14.67--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.99968161435129880/+0.786477887450229\ 40/21486.63/1/177.5/-2.37472548569872544e-010 params=1/-1.667/-1/-6.67/0/-56 float=y maxiter=900 inside=0 outside=tdis periodicity=10 colors=000kaslbtmcundvodwncunctnbsmbqmapmaol`ml`ll\ _kk_ikZhkZgjYejYdjXciXaiW`iW_e_VacRYgMUjIQnDMr9Iv4\ Fy0Fw6FuCFsHFqNFoTFnYDi_Be`9aa7Xb5Tc3Pd1Le2Nc3Ob4P\ a4Q_5RZ6SY6TW7UV8WU9XT9YRAZQB_PB`NCaMDbLDcKFeKHgKI\ iKKjKMlKNnKPoKQqKSsKUtKVvKXxKcyKduJeqJfnIgiIhcHi_H\ jWGkSGlOFmFFUBF6JP9QYDYfGdoJkxJguJdsJ`pJYnJUlJRiJN\ gJKeJGbJD`JAZLCYMDYNFYPGYQHYRJYSKYULXVNXWOXYPXZRX_\ SX`TXcSZeS`gSbiSdkSfmShoRjqRlsRnuRpwRryRtsSqnTohUl\ cVjYVhTWeNXcIY`CZZ7ZXAaZCc`FebHgdJifMkhOmjRolTqnVs\ pYur_wtayuZwtXvtVusTssRrrPqrNpqLnqJmpGlpEjoCioAhn8\ gn6em4dm2cl0blEe`RhPckDpm2nj3mh4lf4kd5jb5i`6gZ7fX7\ eV8dT8cR9bP9fLDjIGnEKrBNv8QuARtCStESsGTsHTrJUrLUqN\ VpPWpQWoSXoUXnWYnXYkY_iYafZbdZda_e__gX`hV`jSakQamO\ anPbmPblPblQbkQbjQbjRbiRbhRchRcgScfScfSceTcdTcdTcc\ TccSdbRebPfaOg`Nh`Mi_KjZJkZIlYKxbHlYF`TCQOAEJ83FB4\ EE5DG5CJ6BL7AO79Q88T97W96 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

Sorry to hear about your ankle, Jim.
by Hal Lane 29 Oct '06

29 Oct '06

Sorry to hear about your ankle, Jim. Please take care of it. I hope it gets better soon. Does your doctor recommend putting intermittent heat on your ankle to increase the blood flow to promote quicker healing? This can be done starting 48 hours after the injury. If you check the internet you can see how to do and the benefits of this. Be careful not to forego walking around a bit -- sitting in one position for long periods of time can generate problems also (as I found out the hard way). - Hal Lane ######################### # hallane(a)earthlink.net # ######################### -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.408 / Virus Database: 268.13.17/505 - Release Date: 10/27/06

1 0

Russell Waltsmith (Triternion)
by GillesNadeau 29 Oct '06

29 Oct '06

Hello all, Here an image made with a formula of Russell Walsmith. I thought perhaps that that would interest of people of this list. Gilles http://www.mathsong.com/casaraku/pages/022/20051108.htm

3 3

FOTD 29-10-06 (Deep in the North [No Rating])
by Jim Muth 29 Oct '06

29 Oct '06

FOTD -- October 29, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's image takes us to the tip of the filament at the northern extremity of the Mandelbrot set, where we examine a midget on a side-filament radiating from a larger filament. The normally humdrum image reached FOTD status when the unusually attractive color palette rotated into view. The image looks best when the screen brightness is turned down. I named the image "Deep in the North" because it lies near the northern extremity of the M-set. I gave it no rating. The render time of 15-1/2 minutes is quite reasonable for an image with a magnitude of 10^24. And the image may also be seen on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather has been pretty much cloudy and chilly here at New Fractal Central for the past few days. But the cats didn't seem to care. I asked both of them who left the toy where I would land on it and turn my ankle, but both claimed innocence. No problem. I have already forgiven whoever did it. It was really my fault. I should have looked before I leaped. Being laid up, hopping like a bunny, isn't much fun, but every now and then my mood cheers up enough for me to do an FOTD. If all goes well, the next fractal will appear in 24 hours. Until then, take care, and all bad times eventually pass. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deep_in_the_North { ; time=0:15:33.07--SF5 on a P200 reset=2004 type=mandel center-mag=-0.2281567739652\ 7565856763362572/1.1151424947129378120645616032/\ 1.485487e+024/1/105.026073473988632/-0.00084030429\ 7203296746 params=0/0 float=y maxiter=1800 inside=0 periodicity=10 colors=00004506A08F2AK5CP8DUAEZDEcGFhIGnLHsNHwMNwM\ SuMXtMapMfnMilMkkKlmJjlIhlHejGckE`kDZlCWlBUmARm9Pm\ CSlFUlIWlLZkO`kRbkUdjZgjcijhkimmirqivthzwhxzhuufsn\ etgcsfasf_reYoaWoZUnYSjVQhQOeKM_DKXCIWCGUBEOBCJBBR\ AAWA9aA8g97l96oA5rK4uU3wc2zi1yc1wU6uKAsFFqHJoKNmMS\ kPWjR_oKbuDfZmubgsebriXplSopMmsHlwBj_Y1bV5dT9fRDhO\ GkMKmKOoHSqFVtDZvAbx8fKblJfcIjV`tVWsXSrYNqZJp_Fo`G\ `SHNKI9CQFAXK8cP6jU4qZ2xc0jUAXLKJBU52cAGiFTnKfsPsx\ ZJb_MX_PS_RM`UH`WB`Z6``1Za5Ya9WaDVaHTaLSaPRaSRcQQe\ OQhMQjKPlIPnGPqEOsCOuAOw8Oy7Sr8Wk8Ze9bZ9fS9iMAmFAp\ 9AoEEnJHmOKlTOkYRjaUceXg_ZoIVjV`mQbqLdtGfwBheTuiPs\ lLqpHosDmw9krnqteovXmwOlyFjjRtmNrpKprGnuDlx9jZwZei\ alXdsJgMcDQ`GTYJXVM_SOcPRfNUiKXmHZpEatBdw8gDffNZgX\ ShfKhpDiV3CY4F`4Ib4Le4Oh5Rj5Tm5Wp5Zr6au6dx6gwOvxMt\ xKsxIryGpyFoyDnzBlz9kz7j9DiDCiGCiKBiNBiQAiUAiX9i_9\ ic9if8ij8im7i000010020030 } END PARAMETER FILE=========================================

2 1

Problems at Fractal Central
by Jim Muth 29 Oct '06

29 Oct '06

Fractal visionaries and enthusiasts: Things go from bad to worse here at N.F.C. Not only is the rush still on, but I am sporting a badly sprained ankle, which will have me hopping around with a walker for the indefinite future. I sprained the ankle by leaping off a chair without looking and landing on a toy one of the fractal cats had left there. The doctor says it is a bad sprain but will heal in time. But I wonder how much time. Trying to navigate with a walker and painful ankle isn't much fun. Meanwhile, not being able to do much else, I'll have plenty of time for fractals, but my mood will not be very cheerful for a while, so I may not write much in the way of discussions. Jim M.

3 2

FOTD 25-10-06 (FOTD-ette Number-3 [No Rating])
by Jim Muth 25 Oct '06

25 Oct '06

FOTD -- October 25, 2006 (No Rating) Fractal visionaries and enthusiasts: Well, here it is. One of my fractal goals over the past several months has been to find a midget in a Mandeloid of an order less than 1.1. On Tuesday I finally found one -- for all it is worth. It popped up by accident, almost without a search. My great? discovery appears as the FOTD image for today. I found the midget 800 levels up the logarithmic ladder of the Z^(1.09)+C Mandeloid. Not surprisingly, the midget is shaped pretty much the same as its parent. I named the image "FOTD-ette Number-3" but gave it no rating. How could I rate something as insignificant as an oval-shaped midget surrounded by a cloud of meaningless chaos? The image calculates in 4-1/2 minutes on my 10-year-old machine. It also may be viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The cloudy chilly and windy weather with a temperature of 43F 6C here at New Fractal Central on Tuesday did not worry the fractal cats, who do not worry about the outside weather. They passed the day in a frisky mood, chasing each other up and down the hallway. With me, the work continues quite heavy and the time for fractals continues quite light. The next fractal will appear in 24 or so hours. Until then, take care, and see the fractal light. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD-ette_Number-3 { ; time=0:04:37.32--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=+1.1984147098\ 8871700/+0.57729940263917580/233.807/1/142.52/8.27\ 331259056762747e-013 params=1.09/0/144/800 float=y maxiter=50000 inside=0 logmap=78 periodicity=10 colors=000KbFK`HJZJJYKIWMIVNHTPHRRGQSGOUFMWFLXEJZE\ I_FKaFMbGOcGQdHSeHUfIWgIYhJ_iJajKckKelLgmLhnQijVjg\ _kddl`imYnnVvrUroSolQliOifMfcLb`J_YHXWFUTDRQCNNAKK\ 8HH6EE4BC3EE5GG7II8KKAMMCOODQQFSSHUUIWWKYYM__NaaPc\ bQd`TeZVfXXgWZhU`hSciQejPgkNilLklJrlKmlLilMelNalNY\ lOUlPQlQMlRIpVDlREiOFfLGcIH_FIXCJU9KT0MR6KQCJPIINO\ GMUFL_EJeCIkBHqAVhQg_euQvtRttSrtTqsUosVnsWlsXkrXir\ Yhr0fr0eq0cq0bq0`qb_mcYidXedVaeUYfSVfRRgPNhOJhMFiL\ 9hJCiKFjLHkMKlMNmNPnOSoOVpPXqQ_rRbsRdtSguTkyQivThs\ VfpXemZcj`cnhbhbbcYcZShr9mUNrWOvYPz_QzaRzcSzeTzgUz\ iVzkWzmXzoYzqZzs_zu`zwazxazsczndziezdfz_gzVhzQizLj\ zGozHkzHgzIczI`zJXzJTzKQzKMzLIzLFzMBzM7zM4zQ8zUCzX\ Fz`JzcMzgQzkUznXzr`zucztazs`ztZzuYzwWzxVzyTzzSzzQz\ zPzz8zzNzzCzzBzzBzzAzzAzz9zz9zz8zz8zz7zz7zz6zz1zz6\ zzUzzWzzXzzZzz_zzUzz`zzbzzfzzjzznzzrzzuzzpzzkzzfzz\ azzYzzTzzOzzJzzEzzAzzCzzE } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

FOTD 24-10-06 (FOTD-ette Number-2 [No Rating])
by Jim Muth 24 Oct '06

24 Oct '06

FOTD -- October 24, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's quickie FOTD-ette takes us extremely deep into the negative X-axis of the Mandelbrot set, where we find -- what else but a midget. This area is the first part of the M-set explored by almost every newbie, so I could not give the image a rating. I named it simply "FOTD-ette Number-2". The unusual vividness of the colors is perhaps the only saving feature of the image. Though the magnitude of the image is well within the range of arbitrary precision math, the area is a very fast one, resulting in a parameter file that will finish in one minute or less on the SOTA units that do not panic when a DOS program is booted. Those with such panic-stricken machines may view the completed image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Cloudy and blustery weather, with a high temperature of only 46F 8C, kept the fractal cats confined to the indoors here at Fractal Central on Monday. Their confinement didn't bother them however, since they have yet to go outside. The continuing work kept me confined to the computer. I would rather have gone out. The next FOTD is due to appear in 24 hours, and it well might do just that. Until next time, take care, and be at one. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD-ette_Number-2 { ; time=0:02:32.75--SF5 on a P200 reset=2004 type=mandel center-mag=-1.999999999999999178190346247658417/0/\ 4.442313e+029 params=0/0 float=y maxiter=1250 inside=0 logmap=108 symmetry=xaxis periodicity=10 colors=000dfzNVtz0z`7rNzbJz`FtZB`X1hxbTzNNp0bh0T`p\ z5`zFLdN7NV0B0P1zJ7tFBlBFbX5HJDPVl0Nb1FTHz`00zz0zz\ 0rx0`hzzz0xp0jh1X`zLNrJPbJRNJTzz0zx0ZbFztzf`vzZ5dR\ J0pB0dJ0TP050zn0zj3zfPzdjjfjDhj0hj0tt0zz0zz5zz0`z0\ 0l00XB9HNJ1ZR0FDB00`00x00z03z0Bz0Hz0JzBLvRNndNf`JX\ ZFPXBHV99z1DJFL00z01x07n1DdH3zBBxphj0p0F0zD0zB3p9B\ d0PZ0NX0LVNlzFXxfPLzzBzxHjjLRXRFzHBfP0lD0XNzBnZ00P\ 03F3Hhf007z3Bz5Fj90z77vTj`HXX00z30t55f00z19l0Dz0Hl\ h0zP9rlhzB5`z00j00R5F0NZ0LXz00x00X9Fz0Xl0VR5Vzzzpz\ z`lpLXd00z00z07j0h70ZF0RNJ0zzz0llF5z07z07l17lH9lD7\ lNNpzFll0l30lB0lH1lPzvvzlnjbhRl`jzzzlzzlnzlnzlzzlz\ zljzlDzlJzlNzlRznpzp`zrZztXzvjzxbzzjzzhzz`zzzzzzzz\ jzzrzzjzzbzzfzzLzzPzzRzzTzzBzzJzzPzzpzzhzz`zzPzz0z\ z9zzhzzTzzVzzNzz0zz0zzDzzLzzPzzTzz5zzDzzJzzPzztzzl\ zzbzz9zzLzz3zz0zzDzz5zzJzzlzzbzzdzzZzzbzz`zzZzzXzz\ BzzHzzLzzRzz1zzBzzLzz0zzB } END PARAMETER FILE=========================================

1 0

FOTD 23-10-06 (FOTD-ette Number-1 [No Rating])
by Jim Muth 23 Oct '06

23 Oct '06

FOTD -- October 23, 2006 (No Rating) Fractal visionaries and enthusiasts: With a few minutes to spare on a Sunday evening, I have found a fractal. In my opinion, it is not a great fractal, but since greatness is in the mind of the beholder, it might be great in some alien mind. The image is a scene in the fractal that results when Z^(-0.5) is mixed with Z^(-5.5) and (1/C) is added. I named it "FOTD-ette Number-1", and gave it no rating. The 18 minutes spent calculating the image may be avoided by viewing the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather has been kind of cloudy and chilly here at New Fractal Central for the past few days. The fractal cats have been themselves. The next FOTD will appear whenever I get the opportunity, probably within a day or two. Until then, take care, and if we were automatons with no self-awareness, would we believe that unconscious matter could create consciousness? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD-ette_Number-1 { ; time=0:18:13.02--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=+3.57092434964353400/+0.006606919547551\ 14/5.890099e+007/1/-25/-4.8024984247926894e-005 params=3/-0.5/0.8/-5.5/-0.8/0 float=y maxiter=4500 inside=0 periodicity=10 colors=000NScMUaMW_LYYK`WKbUJdSJfQIhOHjMHlKGnIGpGI\ rEKtCMvAOx8Qz6Sz7Uz7Wz7Yz8_z8bz8ez9hz9kz9nzAqzAtzA\ wzBzzBzzBzzCvzCrzCmvDhrDcmDbhEacE`ZE_UFZPFYKFXFFWA\ IUCLSBFQAAOAALAAJAAHAAFAADAAAAA8AA6AA4AA2AA5AA7AA9\ AABAAD5AF02F23F44F55F76F87FA8FB9FDAFEBFGCFHDFJEFKF\ FMGFNHFPIFQJFSKFTLFVMFWNGUPHTQISSJRTKQUKPWLOXMNYNM\ _OL`PKaPJcQIdRHeSGgTFhUEiUDkVClWBmXAoY9pZ8qZ7s_6t`\ 5ua4wb3xb2y_3sX3nU3iR3dP3_M4VJ4QG4LD4GB4BKDASMA_VA\ hcAplAxuAwsCvqDuoFtnGslIrjJqiKpgMoeNncPmbQl`RkZTjY\ UiWWhUXgTYfR_eP`dNbcMcbKdaIf`Hg_FiZDjKrzKBlKrzKBlK\ rzKBlKrzKBmKrzKBmKrzKBnKrzKBnKrzKAnKrzKAoKrzKAoKrz\ NApOrzPApKrzRApKrzTBmKrzVBiKrzXCdZCbaC`cCZeCXgDUiD\ SkDQnDOpDMrEJtEHvEFxEDzEBtEAnE9hE8bE8XE7RE6LE5GE5I\ F7JG8KH9LIAMJBNKCPLDQMERNFSOGTPHUQIWRJXSKYTLZUM_VN\ `WOaXPcYQdZRe_Sf`TgaUhbVjcWkdXleYmfZng_og`pgangbmf\ blebkdcjbciach`cf_dOOgNQe } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

2 1

Re: Missing FOTD's
by Jim Muth 22 Oct '06

22 Oct '06

At 04:22 PM 10/21/06 +0000, jackoftradez wrote: <snipped> > . . . a tornado sweeping >through a junkyard can theoretically assemble a >skyscraper or a jumbo jet, if the events are >repeated a sufficient number of times. After all, we >all evolved from primal slime, given enough time and >chance. Does this mean that, given enough time, presumably a couple billion years, assuming junk yards still exist, a tornado actually might be expected to accidentally assemble a functional jumbo jet or space shuttle? Suggestion Jim: >Train your fractal cats to pound away on your keyboard, >. . . Maybe you will never have to work again to >produce the next FOTD!? Actually, they already have produced a few fractals by walking on the keyboard. Unfortunately, the images were not up to FOTD standards. >Just a thought. (I've been drinking too much). This is what happens when you drink too much. >Why are we here? What's it all about? That is the big question. Next FOTD in a few days. Jim (the very busy) M.

1 0

Re: Missing FOTD's
by jackoftradez＠comcast.net 21 Oct '06

21 Oct '06

It is hypothesized that a sufficiently large number of monkeys banging away randomly at keyboards, eventually the great works of literature will be produced. Random chance meets chaos, complexity, and the butterfly effect. Similarly, a tornado sweeping through a junkyard can theoretically assemble a skyscraper or a jumbo jet, if the events are repeated a sufficient number of times. After all, we all evolved from primal slime, given enough time and chance. Suggestion Jim: Train your fractal cats to pound away on your keyboard, maybe put little pictures of flys or cockroaches on the keys; maybe get one of those mouses that really look like a mouse. Train them to associate a beautiful fractal image on the screen rewarded with a can of fresh bumble-bee tuna! Open up fractint and the formula parser. Then cut them loose and let it happen. Maybe you will never have to work again to produce the next FOTD !? Just a thought. (I've been drinking too much). Why are we here? What's it all about? JoTz

1 0

[RE]Re: [Fractint] 3D pixel: to Lee abd Maryetta
by Russell Walsmith 21 Oct '06

21 Oct '06

1 0

[RE]Re: [RE]Re: [RE]Re: [Fractint] 3D pixel
by Russell Walsmith 21 Oct '06

21 Oct '06

3 2

Missing FOTD's
by Jim Muth 20 Oct '06

20 Oct '06

Fractal Fans: As foretold, things have become very busy and hectic here at New Fractal Central. As a result, there will be few if any FOTD's until the rush is cleared up around the end of next week. Jim Muth

1 0

FOTD 18-10-06 (Double Trouble [6])
by Jim Muth 18 Oct '06

18 Oct '06

FOTD -- October 18, 2006 (Rating 6) Fractal visionaries and enthusiasts: Today's fractal is kind of a mystery. I'm not sure if it is a real fractal or an artifact. The formula is simply a variation of the hypercomplex formula in fractint.frm, with a few more variable parameters added. The strangeness lies in the imag(p3) parameter, which is 10^(-012). It seems unlikely that such a small value could make such a big difference in the appearance of the parent fractal. I suspect that we may be dealing with some kind of mathematical imprecision here, but if so, I have no idea what it might be. Regardless, the fractals the formula creates appear as real as any other fractals. They may be zoomed into up to the limit of double-precision math, though the fact that the periodicity must be set to zero hints that the fractal-reality of this fractal might be questionable. It's a rather somber image, with a pronounced 3-D effect, which looks its best when the screen brightness is turned well down. I named the image "Double Trouble". It comes in two halves and there is always that troubling doubt about its validity. The rating of a 6 seems appropriate. The render time of just under one hour is necessary due to the large maxiter of 15000 and the necessity to turn off periodicity checking. But this time will be cut to 10 minutes or so on the fastest machines. If even this is too slow however, it would be best to wait until Paul posts the finished GIF image to the FOTD web site sometime later today. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A steady chilly rain fell all day here at New Fractal Central on Tuesday. The fractal cats spent a good part of the day watching the cars splashing by. In my department, the big rush job that is supposed to be soon coming in has so far failed to appear. It is still promised this weekend however, so we'll have to see how it goes. The next fractal will go as scheduled in 24 hours, I presume. Until then, take care, and the crazy schedule will soon be over. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Double_Trouble { ; time=0:59:28.63--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=HyperSquare passes=1 center-mag=-0.17649147506615800/0/2086.338/1/90/\ -1.23373533611470521e-014 params=0/0.5/10/0/0/\ 1e-012 float=y maxiter=15000 inside=0 logmap=443 periodicity=0 colors=000UFKUDJUBIUBIUAHUAHU9HU9HU8GU8GU8GU7GU7GU\ 6FU6FU5FU5FU5FU4EU4EU3EU3EU1FU2EU3EU4EU5EV6EV7EV8D\ V9DVADWBDWCDWDDWEDWFCXGCXHCXICXJCXKCXKBYKBYKBYKBYK\ BYKBYKBYKAYKAYKAYKAYKAYKAYL9YM9YM9YN9YO9YP9YQ7YR8`\ R8`S9`R9`RA_QA_QB_PB_PC_PCZPDZPDZPDZPEZPEYPFYPFYPG\ YPGYPHXPHXPIXPIXPJXPJWPJWPKWPKWPLWPLVPMVPMVPNVPNVP\ OUPOUPOUPPUPPUPQTPQTPRTPRTPSTPSSPTSPTSPUSPUSPURPVR\ PVRPWRPWRPWQPVQPVQPVQPVQPVSQVRPVQPVPOVPOVOTUNSTNSS\ MRQLRPKRNKQMJQKIQJIPIHPGGOFFODFOCENADN9CO7DN8EN8FN\ 8FN9GN9HM9HMAIMAJMAJMBKLBLLBLLCMLCNLCOKCOKDPKDQKDQ\ KERJESJESJFTJFUJFUIGVIGWIGWIHXIHYHHZHHZHI_HI`HI`GJ\ aGJbGJbGKcGKdFKdFLeFLfFLfFMgEMhEMiEMiENjENkDNkDOlD\ OmDOmDPnCPoCPoCQpCQqCRqCSpDTpDUpEVpEWpEXpFYpFZpG_p\ G`pGapHbpHcpIdpIepIfpJgpJhpKipKjpKkpLlpLmpMnpMopMp\ oNqoNroNsoOtoOuoPvoPwoPxoQyoQzoRzoRzoRzoSzoSzoTzoT\ zoTzoUzoUzoVzoVzoVzoWzoWz } frm:HyperSquare {; Jim Muth a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel b=p2*a*b+p3 a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

1 0

FOTD 06-10-06 (Pebble Beach [5])
by Jim Muth 17 Oct '06

17 Oct '06

FOTD -- October 06, 2006 (Rating 5) Fractal visionaries and enthusiasts: I see on the list that fractals are no longer good enough. We now have superfractals. I wonder why we need superfractals when plain old fractals are infinite in an infinity of ways. Isn't this super enough? After all, it already takes a super-man to visualize the entire four-dimensional Z^2+C Julibrot in a single moment of time. But who am I to criticize? I am so far behind the times that I consider the movies made in the 30's 40's and 50's to be better than most of the current day movies, which to me seem to be created for desensitized viewers with the intelligence of a flea and the attention span of a mosquito, and appear to be rated by the number of explosions and the computerized effects they con- tain. But on the other hand, I might be remembering only the good movies made in the past, and forgetting the many junkers of that past time. Today's image contains no exploding gasoline drums or speeding cars doing impossible stunts. It does nothing but light up the screen and appear puzzling. It is a scene in the Z^(1.009)+C Mandeloid at a level 10 floors up the logarithmic ladder. I drew the parent fractal in an effort to find some kind of midget in a Mandeloid of order 1.009. I have challenged myself to find one. I may never find an actual midget, but as today's image implies, I am likely to stumble upon a few interesting fractal scenes while searching. I named today's image "Pebble beach". No, I am not planning on going surfing. I gave the image this name because the curious mix of order and chaos reminds me of pebbles lying on a beach at low tide. The rating of an average 5 might be a bit conserva- tive, but despite the unexpectedly varied low-order patterns, I can find nothing in the image actually above average. I calculated the image with the passes set to 'b'. With this particular image, passes=b is the fastest, and it is always the most fun to watch in action. The render time of 7-3/4 minutes may be forgotten if the image is viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A sunny day here at New Fractal Central on Thursday, with a tem- perature of 63F 17C, was ignored by the fractal cats, who spent too much time searching for more mice. When they found no mice, they turned to their food dishes and satisfied themselves with regulation cat food. Their treat of tuna and cheese in the evening was greatly enjoyed. My day continued somewhat slow. If all goes as expected, the next FOTD will appear in 24 hours. Until then, take care, and one never knows what they will never know. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Pebble_Beach { ; time=0:07:45.55--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=b center-mag=-0.0\ 318935873/+0.6412001724/3328.226/1/35/1.2598880272\ 3853155e-012 params=1.009/0/10/10000 float=y maxiter=1000 inside=255 periodicity=10 sound=off colors=000KTaITZFUUHTXIT_JSaKSdLSfMRdNRcOQbOQ`PP_Q\ PZROXROWSNVTNTUMSUMRVLPWLOZURWLNTDKQ5HQ7FQ9EQBDQDB\ QEAQG9QI7QK6QM5QN4PO6OO7NP9MPALQCKQDJRFIRGHSIGSJFT\ LETMDUOCUPEVRGVTHVVJVXKVZMV`NVbPVdSWjQVfPUcOT`MSYL\ SVKRSJQPHPMGOJFOGDNDCMABL79M1AL4BK7CJADJCEIFFHIGGL\ GGNHFQIETJDWKDYLC`MBcMBePDeSFeVGeYIe`JecLefMeiOelP\ eoRepTjqSeqSarRYrRUsRQsQMtQIM6GtQEsVKrZQqcWqgaXRcD\ AeCFgBJiBNkARm9Vn9Zp8br7ft6oy7ju8eq9amAXiBSfCObDJZ\ EEVFASDCVBDY9F`8GbBEeDChGAjI8mL6pN4rP7oQ9mRBkSDiTF\ gUIeVKcXMaYO_ZQY_TW`VUaXSbZQghUc`O`UJYMDXB7VF8UJ9T\ NASRBRVCM`DQYCUWCYUBaRBePAiNAmLAlKBlJBlJBkICkHCkHC\ jGDjGDjFDiEEiEEiDEhCFhCFhBFhBFjEIkHKlKMnNOoQQpSSnT\ SmTSkUTjUThVTgVUeWUtSZdWULPONOPPOPQOQSOQUORVORXOSY\ OS_QV`SXaUZcVadXceZeg`hhajiclkeoliqmlsopvptxqwzmnz\ ogvr`ruNuw3yuPmtZclV8dR9YOAQKBJHCKJKLKRLLYMMdNNkZc\ zXZzVZzUUzSUzQPzPPzNPzLPz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

4 7

FOTD 16-10-06 (An Ordinary Fractal [4])
by Jim Muth 17 Oct '06

17 Oct '06

FOTD -- October 16, 2006 (Rating 4) Fractal visionaries and enthusiasts: On today's fractal journey, we venture to the fractal that results when portions of Z^8 and Z^(-1.1) are combined. Giving the fractal a brief examination, we notice a small and very twisted quadratic midget. Today's scene is located near this larger midget. Today's image is outstandingly ordinary, leading me to name it "An Ordinary Fractal". An ordinary fractal image deserves an ordinary rating, and there is nothing extraordinary about today's rating of a barely acceptable 4. There is not much to be said about today's fractal, which speaks for itself -- in the silent language of numbers of course. The calculation of 2-1/2 minutes will try the patience of no one. But for extra convenience, the finished image is available for viewing and download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A delightfully sunny and brisk day with a temperature of 54F 12C went unappreciated on Sunday by the cats here at New fractal Central on Sunday. They were more interested in the squirrels that were gathering nuts outside the window that serves as their television receiver. My day was busier than expected, which shows in the lack-luster fractal that masquerades as today's FOTD. Tomorrow will likely be similar. Hopefully, the fractal that appears 24 hours from now will be better. Until then, take care, and whatever hap- pened to the utopian world of the 21st century, which was 50 years in the future 50 years ago? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= An_OrdinaryFractal { ; time=0:02:39.62--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-6.16001351307816400/-2.748186530172869\ 00/7030.159/1/-122.5/-3.77209929958155499e-011 params=-0.4/8/0.8/-1.1/0/0 float=y maxiter=1500 inside=0 logmap=40 periodicity=10 colors=000lcNmcLmcKndNnePoeSofUpgXpgZph`qicqierjhr\ kjskmsloslqofml`jhVgeQcaK`ZEYW9VX8UX8UY7UY7TZ6TZ6T\ _5S_5S`4S`4SPENDOI1YE2WI3VL4UO4TR5SU6RX6Q_`X9W_8Rb\ 8Ne8Ih7Ek79n75p73aG1OO0AW48_86bB5fF3iJ1mM0pO6nQBmS\ GlTLkVRjXWiZ`g_efakecpdeucfzbhs_jlYkeWm_UoTSpMQrFO\ s9MpGOmNQjTSh_UeeWblY`rZWpYSnXNlWJjWEhVAfU5dT1cT4a\ W7_ZAYaDWdGUgISjLQmOOpRMsUKvWJyXIvYItZHq_Ho`GlaGjb\ FgcFedEbeE`fDYgDWgDUdHQaKMZNIWRETUAQX6N_2Pa5Rb8ScA\ UdDVeGXfIYgL_hNaiQbjTdkVelYgm`hnbjoekpgjd`iTUiHOCK\ PILOOMNUNM_OLePKfQtgQpgQlhQhhQehQaiQYiQVjQRjQN4ujF\ mcQeX`YQ8KnGMgONaWOWcPQ`fmbdicbfd`ceZ_fXXgVUhTQiRN\ WiFYgGZeG`cHaaHb_IdZIeXJfVJhTKiRKdfFfbGg_HhWIiTJiT\ bjS`jSZjSYjSWjRVjRTjRRjRQjQOjQNjQLMa4RZ8WXB`UEeSHo\ lHnhImdIl`JkXJjTK`NYbOWcOUdOTePRfPQgPOhQNiQLT`fV_d\ WZcXYaYY`ZXZ_WY`WWaVVcUUdUSeTRfSPgSOhRMiQLR0tW7j`D\ aeKTCmQJhOQcNXZMcULkdQldO } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 17-10-06 (Oblate Herringbone [7])
by Jim Muth 17 Oct '06

17 Oct '06

FOTD -- October 17, 2006 (Rating 7) Fractal visionaries and enthusiasts: Do the herringbone patterns so prominent in recent FOTD fractals exist in the odd planes of the Z^(2.0000001)+C Julibrot? As today's image shows, they most certainly do. Today's image skices the Julibrot in the Oblate direction, which is determined by the imag(c) and real(z) axes. In this direc- tion, the scene remains pretty much intact. The herringbones remain where they should be, while the tiny hole still lies near the center. The slices in other odd orientations are far less kind to the scene however, and distort things almost beyond recognition. I will show some of these other slices in upcoming images. I named today's image "Oblate Herringbone". The name is little more than a description of the scene. Considering the image a bit below the two previous herringbone images, I rated it at a 7. The render time of just under 11 minuted may be avoided by viewing the finished image from on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Increasing clouds and warmer temperatures here at New Fractal Central on Monday went un-noticed by the fractal cats, who still can not figure out why the carpets in the hallway no longer slip so easily. The big excitement of the day came when Nicholas tried to dislodge Cassie from her favorite warm radiator cover. He was rewarded for his effort by a swift hit on the top of the head. Luckily, all had been settled by the time evening snack time arrived. My day remained slow. The big job that was originally due in this morning has been delayed until Wednesday at the earliest. Undoubtedly, it will still be needed on the original date. The next FOTD will shine forth in glory 24 hours from now. The glory will be in the eye of the beholder. Until then, take care, and where are all the scientific breakthroughs that were supposed to be brought about by the space shuttle program? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Oblate_Herringbone { ; time=0:10:51.53--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip passes=b center-mag=+0.00000000035115616/+0.000000\ 00000068196/2.490884e+010/0.004515/-0.111270026331\ 318467/-89.827 params=0/90/2.0000001/0/-1.74994915\ 4546508/4.809332442e-007/-1.749949154546508/4.8093\ 32442e-007 float=y maxiter=2000 inside=255 logmap=750 periodicity=10 mathtolerance=0.05/1 colors=000mXbkZfi`jgbmedqdftbcqa`n_YkZVhXSeWPbUM`T\ JYRGVQDSOCPMAMK8JI6GG4DE2AC07A04800F0zFczPczZczYcz\ YJcXOWXTSXYOWbKWgGVlCVq8Vv5Uu6Tu7Su8Ru9QtAPtBOtCNt\ DMsELsFKsGJsHIrIHrJGrKFrLEkTDd_DZfCSmCMtFPuIRuLTuN\ VuQXuTZuV`uYbu`dubfuTcaJ`JAZ0NWG_TWlQkyOzvPysQypRx\ mSxjTxgUwdVwaVwZWvWXvTYuQZuN_uK`tHatFatoffjjXemOfl\ SgkWhk_n5Lo4Gp4Cq48o5Bm6Dl7Fj7Hh8Jg9LeANdAPaHTZNXW\ T`6Hl3HC7FBBEAED9IC8MB7PA6T95X84_74nF5lE7kE8jD9iCA\ gBCfADeAEd9Fb8Ha7I`6J_6KYATWEaVIjQEeLBaG8XB5TD9SEC\ SFFSHISILRJORLSRMVRNYQP`QQcQRfQSfPTePUeOVdOWdNXcMY\ cMZbL_bLcWOgQRkKToDWs7Zw1```tZZuXYuWWuUVvTTvRSvPQw\ _XnYZoWWnUUmSRlQPkONjPNge5XiN`oUYzcVzzSzzPzzMzzczz\ tzzszzrzzqzzqzzpqpopcopZnp`mobmoelngknikmkjmmimmiz\ zhhhheegcbg`ZfZWfXTfUQeSNePJdNGdKDcIAcG7cF9aEA_DCY\ CDXBEVAGT9HS8IQ7KO6LN5NL4OJ3PI2RG1SE1TD5WH8YKB_NPQ\ JbGFo7BsFGvMLtPPrRTpTWnV_ } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

1 0

[RE]Re: [RE]Re: [Fractint] 3D pixel
by Russell Walsmith 17 Oct '06

17 Oct '06

3 2

I would be willing to participate in the effort involved to implement...
by Hal Lane 17 Oct '06

17 Oct '06

################################################## Hal wrote: > > Does anyone know if arbitrary precision math works > > with formula type fractals in Fractint? > >Jonathan wrote: >The arbitrary precision math has been implemented for only four fractal >types. mandel, julia, manzpower, and julzpower. > =========================================== I have run up against the loss of precision of my Intel floating point processor on zooms in Fractint in several different images in the last week or two. Jim Muth has also mentioned reaching the limits of precision as well. This running up against the precision limitation of the current Intel floating point hardware seems to be happening more often -- most likely because the increased speed of computers allows users to more quickly zoom to the depths that get in trouble with precision limitations. In an effort to ease this problem somewhat I have the following proposal: Could the same type of logic that detects when to switch from integer to floating point math be used to switch from using doubles to long doubles as an alternative to (or possibly in addition to) switching to arbitrary precision math? <---<< In particular, I'm guessing that using long doubles would involve doing at least the following: - duplicating existing floating point code (implemented with doubles) and - replacing all the double variables and arrays with long doubles and - adding the logic to switch between the routines using the two data types. - adding reading and writing a 3rd parameter for MATHTOLERANCE similar to the existing ones supporting MATHTOLERANCE in parameter files and .gif 1989a images. - code to support the new data type throughout Fractint. Am I correct here? <---<< I would be willing to participate in the effort involved to implement something like this (assuming it is practical) -- for the fractal type formula (even as involved as I suspect it may be), since many of Fractint's built-in fractals can be implemented as formulas. To give you an idea of my experience in this area, I have used long integers in calculating large prime numbers using the MS Visual C 6.0 Visual Studio compiler. My current knowledge about Fractint's code is limited to what is described in Fractsrc.doc and Fractint.doc and a quick look at the formula type code in parser.c. Note that implementing long doubles for the fractal type 'formula' could remove some of the need to implement long doubles for each of the separate fractal types in Fractint since many of Fractint's built-in types can be calculated as formula files. Oops! I just read this in the 20.0 fractint.doc: Fractint Version 20.0 Page 154 -------------------------------- "Big as this zoom magnification is, your PC can do better using something called arbitrary precision math. Instead of using ***64 bit double*** precision to represent numbers, your computer software allocates as much memory as needed to create a data type supporting as many decimals of precision as you want." Does this mean that Fractint already uses long doubles in its implementation of fractal type 'formula?' <---<< However, I also note that FRACTSRC.DOC has: "parser.c uses the MathTypes: D_MATH: uses ***double precision*** routines, such as dStkMul, and FPUsincos This is used if we have a FPU. M_MATH . . . L_MATH . . ." This seems to conflict with the "64 bit double precision" in FRACTINT.DOC. I'm inclined to believe FRACTSRC.DOC... It looks like someone tried to make use of long doubles (but I don't know for what) but had to back off (I think I remember seeing somewhere that it was due to some compiler's libraries not correctly implementing some operations using long doubles): BIGPORT.H ----------------- /* long double isn't supported */ /* impliment LDBL as double */ typedef double LDBL; - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ################################################## -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.408 / Virus Database: 268.13.4/476 - Release Date: 10/14/06

3 2

FOTD 15-10-06 (Herringbone Julia [7.5])
by Jim Muth 15 Oct '06

15 Oct '06

FOTD -- October 15, 2006 (Rating 7.5) Fractal visionaries and enthusiasts: While studying yesterday's image this morning, I started wonder- ing what the Julia set of the scene might look like. To find out, I entered the parameters into the 'julzpower' formula and let the iterations fly. Just under 10 minutes later I had my answer. As expected, the Julia set of yesterday's scene closely resem- bles the scene itself. If anything, the herringbone pattern is even more pronounced, which is the reason I named the image "Herringbone Julia". I rated the image the same as yesterday's -- a 7.5. In my opinion, the image is worth it. The render time of over 10 minutes is a bit slow for today's busy fractalist. But at the FOTD web site, relief is at hand for those on the go. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A mostly sunny but chilly and blustery day here at Fractal Central on Saturday gave a real feeling of autumn to the air. The temperature of 54F 12C was near perfect for viewing the trees, which are near their peak autumn colors. The fractal cats did not concern themselves with leaves however. They were more concerned with finding the warmest spot around for their afternoon nap. My day was average, and tomorrow will likely be average also, which means the FOTD will appear on schedule at about this same time. Until then, take care, and maybe Noah's arc is part of a fractal! Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Herringbone_Julia { ; time=0:19:05.38--SF5 on a P200 reset=2004 type=julzpower passes=1 periodicity=10 center-mag=0/0/5308.251 params=-1.749949154546513/\ 4.809332403005305e-007/2.0000001/0 float=y maxiter=4000 inside=0 logmap=750 symmetry=origin colors=000000C4DC4DD4DD4DH6GK9JOCMQGOUJRXMU_SWcVZf\ Zahaclefohirlkuonxqqzqsxqtxntxkuwhsvequbpt_nsYl1Ab\ 6DcAGcEJdILdMOdQReUUeYWfaZfeafidgmfgqihulhynhumeqm\ bnl_jlXfkUckR_kOWjLTjIPiFLiCIi9Mg8Qe8Tc8Xa8__8cY7f\ W7jU7mS7qQ7tP7qS9nUBkXDhZFeaHbcJ_fLXhNUkPRmQWiT_fV\ dcYh`_mYbqVdoXbmY`kZZi`XgaVebTcdRaeP_fNYhLWiJUjHSl\ FQmDOnBMoAQrJUuTYxaayjdyggweivcltansZqqXspVvnTxmRv\ lQukPsjPriOphNogNmfMlfMjeLidKgcKfbJdaIc`Ia_H`_HZZG\ WXFTVEQTDORCLPBINAFL9DK9cO_aNX_NVYMSWMQTNRQNSONSLO\ TJOTGOUEPUBPV9PV8O_7Oc6Oh5Nl4Nq3Nu3NyHQuUTqgWmtYjs\ ZgrZeqZczT0mS0cZXnZUmZSlZQlZNkZLjZJiZGhZEhZCb_DY_E\ T`FO`GIaHDaI8bJ3bJ4`JuoJ5aJ5WJ6UJ6SJ7RJ7PJ8NJ8MJAN\ MBOOCOQDPSEJQFQWGRYHR_JSbKTdLTfMUhNVjOZpPWnQWp_DiZ\ HdYL_XPVWTQVXLU`GTdBTg6Wd6Ya6__6aX6cU6eS6hQ6jU6lZ6\ nc6ph6rm6orJmwWkzhiztfzodzkbzf`zbZzYXzUVzPTzLRzGPz\ CNz8RzCVzGZzJbzNHzDHzDHzD } END PARAMETER FILE=========================================

2 1

Anyone know if arbitrary precision math works w formula type fractals?
by Hal Lane 15 Oct '06

15 Oct '06

Does anyone know if arbitrary precision math works with formula type fractals in FractInt? The 20.0 docs say (pg 156): "Other known things that do not yet work with arbitrary precision are: biomorph, decomp, distance estimator, inversion, Julia-Mandel switch, history, orbit-in-window, and the browse feature." So the docs don't specifically say, "Arbitrary precision math works with formula type fractals." - Hal Lane ######################### # hallane(a)earthlink.net # ######################### -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.408 / Virus Database: 268.13.4/475 - Release Date: 10/13/06

5 7

Re: MAKEFCFG.EXE and Arbitrary Precision
by jackoftradez＠comcast.net 14 Oct '06

14 Oct '06

NOTE: the results you get from running makecfg.exe may differ if you run it from a Win9X shell or from the native boot-up DOS prompt. Make sure you run it in the environment you will be doing most of your fractint work from. Arbitrary precision - try zooming past about E+13 and see how ssllloooowwww it all becomes. Then try to get to E+89 or so. Yes, theoretically fractint can get you to about E+1600 but has anyone ever done it? .

1 0

[RE]Re: [Fractint] 3D pixel
by Russell Walsmith 14 Oct '06

14 Oct '06

3 2

3D pixel
by Russell Walsmith 14 Oct '06

14 Oct '06

2 1

FOTD 14-10-06 (The Inner Sanctum [7.5])
by Jim Muth 14 Oct '06

14 Oct '06

FOTD -- October 14, 2006 (Rating 7.5) Fractal visionaries and enthusiasts: Today's curious scene is located deep in the seahorse valley of the large midget on the negative X-axis of the Z^(2.0000001)+C Mandeloid. On the surface, this Mandeloid is identical to the classic Mandelbrot set. But in the depths of its negative X-axis, strange things exist. That tiny difference in the exponent makes an immense difference in this one small area. Today's image shows an example of the strangeness. Nothing like today's image exists in the M-set. A midget with a herringbone pattern such as today's is unheard of in this area of that classic fractal, which holds only the familiar goofy- eyed 'brain-like' patterns. Some of these familiar patterns are included in today's image, but are relegated to the fringes of the scene. I named today's image "The Inner Sanctum". Something about it reminds me of an old radio show I enjoyed as a youngster. The rating of a 7 seemed a bit conservative for such an unusual image, but an 8 seemed a bit liberal. As a compromise, I rated the image at a 7.5. I included the mathtolerance entry in the parameter file to assure that the image is calculated at the correct magnitude. The render time of over 22 minutes borders on the slow side. Luckily, the completed image is posted for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A freezing cold early morning was followed by a brisk but sunny afternoon here at Fractal Central. The temperature of 50F 10C did not bother the fractal cats, who spent the entire day indoors. My day was again busier than expected, but as today's image shows, I still found some spare time. The next FOTD will appear in 24 hours + or - an hour or two. Until then, take care, and stare a fractal in the face. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Inner_Sanctum { ; time=0:22:09.91--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=-1.749\ 94915454650800/+0.00000048093324421/4.597854e+011/\ 1/-172.501270447970057/0.00124377750788059321 params=2.0000001/0/0/0/0/0 float=y maxiter=5000 inside=0 periodicity=10 mathtolerance=0.05/1 colors=000DlaCkYBkUAkQ9jR8iS8iTccb`eaYg`Vh`Sj_PlZM\ nYJpYGrXDtWBuWBiVBYVBMUBBU9CV8DW7EX6FY4GY3HZ2I_1J`\ 0J`3Lb6Nc9PdCReFTfHVgKXhNZiQ`jTbkVdlXbhZae__aaZZbX\ VdWSfVOgTLiSHjQElPAmO7gU5a_4We3Qk2Lp1co3mn5zm6Fl8E\ kALCSIAUF7XC5Z93`71bG3YP4TY6Oe7KmDumEvmFvmGwmGwmHw\ mIxmIxmJymKymKynMwnOunQsnSqoUooVmoXkoZip`gpbepccpe\ aqg_qiYqkWqlVjfUc`TXVTRPSKJSDDR77RNUEap2`o9_oG_nNZ\ nTZm_YmfYmlZpnZspZur_ws_xt_zu_zxzzzmsziotgiqdbncXk\ dChd3ceTZfPUgLPgHKhDFi9Ai65f53d56a58_4BY4DV4GT3JQ3\ LO3OM2QJ2TH2WE1YC1`A1b73Y45U16Q49S6BU8DWBGYDI_FKaH\ NcGPcGRUEPKCKAAAABAACAADAAEAAFAAGAAHAAIAAJAAKAALAA\ MAANAAOBAPCAQDAREASFAUGAWHBYIE_JGaKIcGKeDMgGLhIKhK\ JiNJiPIjRHjVHkYGk`FldFlgEmjDmmDoqHpsLqwPswTtwXuw`w\ wdxwhywlzwoxwjvwftwaswYqwTowPm6Kl1Gv6jt9grCdqFaoHZ\ mKXlNUjPRhSOgVLeYJc_GbbD`eA_g8YhDWiIViMTjRRkVQk_Ol\ cMmhLmlJnqInuHmqGmmFliEle } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

1 0

[RE]Re: [Fractint] Neo T-set
by Russell Walsmith 13 Oct '06

13 Oct '06

2 1

FOTD 13-10-06 (The Unexpected [5])
by Jim Muth 13 Oct '06

13 Oct '06

FOTD -- October 13, 2006 (Rating 5) Fractal visionaries and enthusiasts: Today's image shows a scene very deep in the negative X-axis region of the Z^(6.003)+C Mandeloid. I named it "The Unexpec- ted" because such an unusual midget is unexpected in Mandeloids of such a high order. The railroad tracks actually are in the image, but they have shrunk beyond resolution. The entire image is near the limit of resolution, which is the reason I included the mathtolerance entry in the parameter file. The rating of a 5 is justified. Midgets of an order over 4 are rarely worth the effort. The render time of 19 minutes can be ignored by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. Light rain at daybreak gave way to a brisk afternoon with scudding clouds and a temperature of 57F 14C. The fractal cats had an uneventful day. My day was busier than expected, which explains the short discussion. Tomorrow is likely to be busy again, but not so busy that there will be no FOTD. So until then, take care, and seek answers. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Unexpected { ; time=0:19:15.97--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN center-mag=-1.132050020167\ 79500/+0.00000063732148473/1.061159e+012/1/-87.498\ 2749373913862/-0.0021199523262442066 params=6.003/\ 0/0/0/0/0 float=y maxiter=4500 inside=0 periodicity=10 mathtolerance=0.05/1 colors=000toAtr9tu8tw8umDvdHwWLxMPyDTz4Xz3Yz3Zz3Zz\ 3_z3_62`z2`z2az2bz2bz1cz1cz1dz1dz1ez1ez6czAbzF`zJ_\ zOYMSXPXVR`UUeSWiRLXdBLqFMpJNoMOnQPmUQlXQl`RkdSjgT\ ikUhnUhlTfkSdiSchRafR`eQZdQYfUWhXUj_SlbQmeOohMqkKs\ nIuqGvtEmCTjARg8Qd6Oa4NZ2M`8JaEHbKFcQDeWBfa9gg7hm5\ jm6kn7ln8mn9nnApnBqnCrnCsnDtnEvnFwnGViaWhbYhc_gd`f\ dbeecefedggchhbhjbilajm`ko_lp_lqYlrWlsUltSluQlpTgk\ VcgX_b_VZaRUcNPfILhEGjACl6InBOpGTqLZsQctViv_nwdtyi\ yzmxvnxrnxonxknxhoxdoxaoxYowUpwRpwNpwKpwGqwDqw9Yw6\ VvGPuGCpLAhG8`B6T75V9UXBq_9ib8be7Vh5OkmGnm9mmBmmDm\ mElmGlmHlmJkmKkmMkmNjhPjcQjZSjUTcPYYmbRmgLmkEmp8mu\ 2myImsXqmkxhdzlZzoSzsMzvGzyFzsEzmEzhDzbCzYCzSBzNAz\ HAzC8zE7zG6zI4zK3zMtzWuz_vtbvzepubku_euX`uUWuSUvQS\ vPRvNPvMOwLMwJLwIJwGIxFGxEFxCDxBCxAFuUIrcKpqJmrJms\ JmtJmuJmvJmwJmxJmyHmzGmzFmzOmDXmFdmHmmJumKtLJtOItR\ HtUGtWGtZFtaEtdDtgCtiBtlA } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

1 0

[RE][Fractint] Re: 4D stuff
by Russell Walsmith 12 Oct '06

12 Oct '06

1 0

FOTD 12-10-06 (Quintic Confusion [7])
by Jim Muth 12 Oct '06

12 Oct '06

FOTD -- October 12, 2006 (Rating 7) Fractal visionaries and enthusiasts: Today's image takes us to the vicinity of the negative X-axis of the Z^(5.003)+C Mandeloid, where we examine a quintic midget at the limit of resolution. I named the image "Quintic Confusion" because of its extremely busy appearance. I was ready to rate the image at an 8, but I could not bring myself to honestly give such a high rating. The fractal picture is simply too disorgan- ized and muddy. I finally decided on a rating of 7. The math- tolerance entry in the parameter file is necessary to insure that the image is calculated at the correct magnitude. To create the image, I used the MandelbrotN formula, which I wrote a number of years ago to generate images of Mandeloids of any power. With this formula, the image renders in 14-1/2 min- utes. Curiously, when I checked the time the manzpower formula would take to calculate the image, I found it would take almost 19 minutes. The cobweb-like appearance apparently holds true of all Mandel- oids of the order n.003, where n is an odd positive integer. When n is even, the railyard effect appears. In the next FOTD, I'll see how large I can raise the value of n and still find an acceptable image. Today's image may be calculated from the included parameter file, or it may be viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The fractal cats were annoyed not at all by the cloudy and cooler weather here at Fractal Central on Wednesday, with a temperature of 66F 19C and a few drops of rain. They were too busy checking and exploring the basement, which they got into for the first time. After deciding that all was well down there, the duo settled for a relaxing evening. My day was slow, but not as slow as the past several days have been. I expect tomorrow to be another slow day, which should mean another interesting fractal. That fractal will appear in 24 hours. Until then, take care, and be ready for the great revelation. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Quintic_Confusion { ; time=0:14:38.04--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=b center-mag=-0.53558959324674450/-0.001231684234550\ 91/5.008814e+012/1/25/0 params=5.003/0/0/0/0/0 float=y maxiter=4500 inside=255 periodicity=10 mathtolerance=0.05/1 colors=0000006Gz0Dz0Az06z0Gz1Pz8XyIeuQoqZyoJsB5m0E\ P1P4QSEJWQEXbAXbAXbAXc8Xe8Zi6Zk6Zm6Zm5Zm5Zm4Zm4Zk4\ Zi2GX2Mc2Xm4Xp4Xm4Xi5Xc5XZ6XW64ggPPsk8zeWz`uzWzzMz\ uEmX6XB1J0BS2L`BWiMesXqzgszzuzWvzzyzLzzzzzAzz5zz1v\ z4ov6gkAb`BWQEPGII6LD0M80Q50U10X00Z00b00e00i00k00q\ 10uA0yI0zS1zb2zk4zWbyIzio2zc4zU4zL4zB4z24z04v04s04\ o0Dg0M`0XU0eM0qG0zA1z4AzEIoPQcZZUkgJvqBz6kM4qL1vL0\ zL0zL0zL0zL0vP5cSDMWJ8XXQShcgzzhzcW6MPL5IJDIIJIIQI\ GXIEcIEkILiJSgLXeMccPkbQq`SyZUzZUuZSmZScZSXZSQZSIZ\ SBZS5ZSGWUSUWbSXoQZzP`zM`20Q80XD8bIMgDWkAbo5is2sv0\ zz0zz0zzzMzzsgzvXvyPmzEez6Xz0Qz0Jz0`z8sqZquWoySmzP\ kzLizIgzEezDkzJozPssWvk`zcgzXmzQuzJzzDzz6zz5zz5zz5\ zz5uA40DU0KP00K0BE0X2WQ2UL2UE1UK1UP1UP1UP4UP5UP8UP\ AUPDUPEUPIUPJUPMKQPANS0SU0VX0XZ0Zb0Zc0`Z0bW0cQ2eMA\ gJIgESiB`k8im4uo1zo0zi0ze0y`0qX0iU0bP0WL0PI0ID0BA0\ 5600B24GB6LMAPXDWQuMMv000 } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

1 0

FOTD 11-10-06 (No Quartic Contest [6])
by Jim Muth 11 Oct '06

11 Oct '06

FOTD -- October 11, 2006 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a scene on the negative X-axis of the Z^(4.003)+C Mandeloid. It is located in the East Valley area of the large midget, which is the analog of the large midget at -1.75 on the negative X-axis of the Z^(2.003)+C Mandeloid. Here again we have features that remind me of a rail yard. And there are quartic midgets -- lots of them -- so many midgets in fact that they come in clusters. Today's image picks out one midget in a long string of similar midgets. Part of an adjoining midget is visible at the right border of the frame. I named the image "No Quartic Contest" and rated it at a 6. I had no good reason for choosing the name; the rating seems appropriate. The calculation time of 12 minutes is true on my worn-out 10-year-old computer. SOTA machines will finish the task in a couple minutes or so. But the fastest and easiest way of all to see the image is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view it there. The sun was bright, the wind was light, and the temperature reached 75F 24C here at Fractal Central on Tuesday. But the weather went un-noticed by the fractal cats, who spent much of the day racing up and down the long hallway, sliding around on the carpets on the newly refinished floor. We have decided to let them have their fun until they grow tired of it. They we'll put rubber mats under the slippery carpets to hold them more firmly in place. The graphic work continued light. I expect Wednesday to be the same. The next FOTD fractal will appear in 24 hours. What it will look like nobody knows. Until then, take care, and be ready to see something never before seen by human eyes. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= No_Quartic_Contest { ; time=0:12:07.82--SF5 on a P200 reset=2004 type=manzpower center-mag=-1.22302423582265300/+0.003499866084603\ 55/1.487328e+011/1/5.00003794580166439/-0.00014829\ 5373074855408 params=0/0/4.003/0 float=y maxiter=4500 inside=0 periodicity=10 colors=000SddQccObcM`bK_aIYaGX`EW`CU_ATZ8RZ6QY4PY9\ OWDOUHOTLORPNQTNOXNM`NLdMJhMIlMGpMFmOMkQTiS_gTehVb\ iW`iZZj`XjaVkdTkeRlgOmiMmkKnlInoGopEorClqFjhIhgLef\ NceQadTZcWXbYV``S_cQZfOYhLXkJWnHVqFUsLYtQauWdv`hwe\ kwkqwqwwlushspcqm_oiWmfRhcNc`JZXEUUAPR6KODFLPAITFG\ WJDbEBh98n56o88oB9oEBpHCpKDpNFpQGqTHqWJqZKraLrdNrg\ OriPuaFwU5sS7pR8mQAjPBgODdNEaMGZLHVKJSJKPIMMFNJAKG\ AFDAAAAA0AA0AA0AA0AA0AA0AA0AA0AAKTNK`NKhOKpOKxOMuN\ OsNQqNSnNUlNWjNYhN_eMacMcaMe_MgXMiVMkTMmRMkQKjPJhP\ IgOGfNFdNEcMDbLB`LA_K9ZK8`MCbNFcOIeQMgRPhSSjTVlVZm\ WaoXdqYgr_kt`nvaqwbtvasu`st_ssZssYsrXrqWrpVsoUtoTu\ pSvqRwrQxsPyqRspSnoUhnVcmXYlYTkZOhYNfXNcWNaVNZUNXT\ NUSNSRNQRNOUOMWPLZQJ`RIcSGeTFhUDjVCmWAoX9qYAoZAn_B\ l`BkaCibChcDfdDeeDdfEbgEahF_iFZjGXkGWlGVmFXkFYiEZg\ E_eE`dDbbDc`CdZCeXCfWBhUBiSAjQAkOAlNEnMHoMLpMOqMSr\ MVsMZtLauLevLiwLmxLqyLuzM } END PARAMETER FILE=========================================

1 0

Kathie Lund - instructions for using a .par file to create a fractal
by Hal Lane 10 Oct '06

10 Oct '06

################################################ > > Kathie Lund wrote: > > > > I have been a lurker on this list for > > some time, & I can't seem to work out > > how to use the pars on the mailing > > list. Can someone help me please? Paul N. Lee wrote: > >You may also wish to create a copy of the full document that comes with >FractInt. Just use something similar as the following from a DOS >prompt: > > "C:\Program Files\FractInt\FRACTINT.EXE" makedoc > >It will produce a plain text file that can be viewed with even the >simplest of text editors, such as Notepad or Wordpad. --------------------------------------------------------------- I recommend that you follow Paul N. Lee's instructions and create the complete documentation for Fractint as he describes above. The file that Fractint creates is named: FRACTINT.DOC. If you leave the file extension as .doc Microsoft Word will try open the file (if you have Word installed) when you double click the file name. I renamed my FRACTINT.DOC to FRACTINT.DOC.txt so that when I double-click it a simple text editor will open the file instead of Microsoft Word. (On my machine when I open FRACTINT.DOC.txt it says "This file is too large for Notepad to open. Would you like to use WordPad to read this file?" When I click 'yes,' I am able to see the contents of the file.) The easiest way to find specific things in the documentation is to use the editor's 'Find' command. Make sure that your search term is not too general, like "fractal" or you will get too many hits. There is also a table of contents with page numbers given for various topics. To jump directly to a specific page number (without having to manually scroll down to the page) I just search for "page n" where "n" is the page number -- in fact I have found that I can get away with searching for just "e 83", for example, most of the time. To use Fractint to create the fractal specified by a parameter file and its formula: - Copy and paste the parameters and formula into a text file -- one that ends in .txt - Save and exit the file - I recommend a file name of eight letters or less since DOS programs can only show eight character filenames - Change the filename's extension from .txt to .par - Disregard the warning: "Are you sure you want to change it?" (Click: Yes) - This is your 'parameter file' - Run Fractint - Press the @ key to specify your parameter file and parameter set. This will initially show a list of names of *parameter sets* in Fractint's default *parameter file* named fractint.par. Pressing the @ key is called 'Run saved command set' on Fractint's Main Menu page. - Press the F6 key to choose the name of the *parameter file* you just created. - Use the cursor keys to select your parameter *file's name* - Press <Enter> - Use the cursor keys to select the parameter *set's name* within the file if it is not already selected. (There can be more than one parameter set in a single parameter file.) - Press <Enter> - The fractal will be generated - If you would like to change the resolution that the fractal is generated at, now is the time to press the <del> key, choose a different resolution and press <Enter> - When the fractal is complete don't forget to press the s key to save the fractal. The file name Fractint used will be shown to you. - Press <Enter> to remove the displayed file name - To view this fractal in Fractint at a later time press the r (reload) key, select its file name and press <Enter>. You will also have to choose a display resolution. Any image display program can display the files created by Fractint -- including the Microsoft Internet Explorer. Note that not all parameter files require a user-defined *formula*. Many parameter files use the formulas built into Fractint. In this case no formula is needed in the parameter file. As Paul indicated there are additional ways for Fractint to handle parameter files and formulas. There are many formulas and paramters for Fractint freely available on the internet. You should get a *full* version of Fractint from: http://spanky.triumf.ca/ Click: - 'Welcome to the Fractint Web Pages at Spanky.', then - 'Version 20.0 of Fractint Now available'. This full version comes complete with support files like fractint.par, fractint.l, sstools.ini, etc. Some parameter files posted to the email list serves [Fractint] and [Philofractal] use Fractint features not available in version 20.0. Version 20.0 of Fractint will not be able to create these fractals. These parameter files use features available in the 'Developer's version' (20.4.4) of Fractint available at: http://www.fractint.org/ The developer's version is usually very stable, but does not have all the support files packaged with it. The Developer's web page says, "If all you want is the executable package of the developer's version, download the file fradev.zip" which is available on that page. This is just the files: fractint.exe and fractint.cfg. This is what you want. Note that this version will be missing all the support files like fractint.par, fractint.l, sstools.ini, etc. so you need to have previously downloaded and installed a full copy of fractint 20.0 before copying: fractint.exe (20.4.4) to your Fractint directory. Note that copying fractint.exe (20.4.4) is intended to overwrite fractint.exe (20.0). Also copy the new fractint.cfg (20.4.4) to your fractint directory folder. An alternative to everwriting fractint.exe (20.0) would be to rename the original fractint.exe (20.0) to something like: fractint_old_20.0.exe before copying fractint.exe (20.4.4) to your Fractint directory. We are all happy to answer questions from newcomers to Fractint since we are proud of this aging beauty. Please do ask more questions -- you have found the correct place to ask them. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ################################################ -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.407 / Virus Database: 268.13.1/469 - Release Date: 10/9/06

2 1

Re: Cobweb Corner
by John W. 10 Oct '06

10 Oct '06

I found Jim Muth's "Cobweb Corner", (FOTD -- October 10, 2006 ), full of interesting stuff. How about this peacock fractal? It's in close proximity to the black hole which is swallowing the world's fractals. Better get yours while you still can! John W. Peacock { ; Fractint Version 2003 Patchlevel 2 reset=2003 type=manzpower passes=1 center-mag=-0.38585625707892660/-0.00183676628125796/1.855863e+009 params=0/0/3.003/0 float=y maxiter=9000 inside=0 logmap=373 periodicity=10 colors=050650<3>O50S50V80YC0`H0cL0dQ6aUD`YKTdSMiWFlT7lS0lP0nO0nK0oH0oG0o\ D0qA0q90r60r40t1<2>0u00u00w00w00w00t01r04q09o0Cl0Gk0Ji0Oh0Qf0Vd1_b3aa4f_\ 6iX7mV9pUAuTCxRDzRF<3>zROzUPyVPuXRoYRj_RdaS`bSVdSPfTLhTFiVAkV4lV0nW0oW0q\ WMz0Lz0Lz0Lz6LzAJrGJkKJdRJXVJQZMOZPNZSNZVLZYLZ`KZcIZfIZiHZlHZoFZpFZoQZo_\ ZzoZ<2>zzZzzfzzmzzmzzmgzhgzlgxpfrsfkwfeyghwgivgktgnsgorgqpgrogumgwlixjiz\ h<3>izcizaiz`izZizYjzVjzTjzSjzRjzO<4>jzFjzDjzCjzAjz7jz6jz4lszjz1sz6zl9z_\ CzNFzRAyV7r_3jd0cf0Xw0Po0It0Ax03z0Cr0Li0Sb0`U0gN0pE0x60uH0<2>lh0ir0fz0dz\ 0IQtJOtJOtJNtJNtLLtLLtLKtLKtMItMItMHtMHuOFvOFwOExOEyMCy<3>MCyNCyOCy<8>XC\ yYCyZCy<3>bCy<4>gRyhUyiXy<6>pYyqYyrYy<2>uYyvYyw_yxayyby<3>zhyziyzky<9>zl\ y }

1 0

FOTD 10-10-06 (Cobweb Corner [7])
by Jim Muth 10 Oct '06

10 Oct '06

FOTD -- October 10, 2006 (Rating 7) Fractal visionaries and enthusiasts: Surprising fractals sometimes lurk where least expected. In today's image for example, I used no fancy formula. The entire image was done with the type=manzpower formula built into Fractint, using the basic equal-iteration bands on the outside and a solid black on the inside. I was thinking of the curious rectangles on the negative X-axis of the Z^2.003 Mandeloid, when I wondered what might lie on the negative X-axis of the Z^3.003 figure. I found no rectangles there. What I found instead is a fractal filled with cobwebs. I named it "Cobweb Corner", though I could just as easily have given it a Halloween name. The image has an equally interesting Julia set, which will be calculated if the space bar is struck twice with today's image on the screen. The odd planes and oblique slices are most likely interesting also. I might check these slices tomorrow. If I find anything of interest, it will appear as tomorrow's FOTD. The rating of a 7 seems a bit overblown. I chose the rating when I first saw the image with its excessive detail. Since then the image has come to appear too busy, with no central theme and too much color. But the rating of a 7 was an honest one at the time, and it will remain. The calculation takes 28-1/2 minutes to complete on my old compu- ter. It will go far faster on the SOTA units that do not choke on DOS programs. The fastest way of all to see the image is to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and enjoy the image there. Another perfectly perfect day here at Fractal Central on Monday went un-appreciated by the fractal cats, who discovered the fun of zooming up and down the hallway, putting on the brakes on the hall carpets and sliding 6 feet. Their fun will come to an abrupt end tomorrow however, when we tack the carpets in place. My day was slower than expected, but it is looking more like that big job will be coming in at the start of next week. I guess I had best enjoy this week, which will be slow. Who knows what next week will bring. One thing near certain however is that the next FOTD will appear in 24 hours. Until that glorious moment arrives, take care, and fly like the eagles. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Cobweb_Corner { ; time=0:28:33.62--SF5 on a P200 reset=2004 type=manzpower passes=1 center-mag=-0.38585624673513200/-0.001836768333955\ 08/9.279313e+007 params=0/0/3.003/0 float=y maxiter=9000 inside=0 logmap=373 periodicity=10 colors=050650A50F50J50O50S50V80YC0`H0cL0dQ6aUD`YKT\ dSMiWFlT7lS0lP0nO0nK0oH0oG0oD0qA0q90r60r40t10t00t0\ 0u00u00w00w00w00t01r04q09o0Cl0Gk0Ji0Oh0Qf0Vd1_b3aa\ 4f_6iX7mV9pUAuTCxRDzRFzRHzRJzRMzROzUPyVPuXRoYRj_Rd\ aS`bSVdSPfTLhTFiVAkV4lV0nW0oW0qWMz0Lz0Lz0Lz6LzAJrG\ JkKJdRJXVJQZMOZPNZSNZVLZYLZ`KZcIZfIZiHZlHZoFZpFZoQ\ Zo_ZzoZzsZzwZzzZzzfzzmzzmzzmgzhgzlgxpfrsfkwfeyghwg\ ivgktgnsgorgqpgrogumgwlixjizhizgizfizdizcizaiz`izZ\ izYjzVjzTjzSjzRjzOjzMjzKjzJjzHjzFjzDjzCjzAjz7jz6jz\ 4lszjz1sz6zl9z_CzNFzRAyV7r_3jd0cf0Xw0Po0It0Ax03z0C\ r0Li0Sb0`U0gN0pE0x60uH0rQ0o_0lh0ir0fz0dz0IQtJOtJOt\ JNtJNtLLtLLtLKtLKtMItMItMHtMHuOFvOFwOExOEyMCyMCyMC\ yMCyMCyNCyOCyPCyQCyRCySCyTCyUCyVCyWCyXCyYCyZCy_Cy`\ CyaCybCycFydIyeLyfOygRyhUyiXyjYykYylYymYynYyoYypYy\ qYyrYysYytYyuYyvYyw_yxayybyzdyzeyzfyzhyziyzkyzlyzl\ yzlyzlyzlyzlyzlyzlyzlyzly } END PARAMETER FILE=========================================

1 0

FOTD 09-10-06 (A New Valley [5])
by Jim Muth 09 Oct '06

09 Oct '06

FOTD -- October 09, 2006 (Rating 5) Fractal visionaries and enthusiasts: Most elements of the cubic Mandeloid are extensions of similar elements in the classic Mandelbrot set. They bear a strong resemblance to their analogs. East Valley of the M-set is reflected in the prominent east and west valleys of the cubic set. Seahorse Valley is reflected in the valleys leading to the prominent north and south double-buds of the cubic set. But the cubic Mandeloid has one set of valleys that is entirely new, bearing no resemblance to anything in the classic M-set. These valleys are the ones that split the buds into two parts. Today's image is a scene deep in the valley centered on the Y-axis, which splits the north bud. This valley has no corre- sponding feature in the Mandelbrot set and holds elements that are entirely new. I named the image "A New Valley" for this very reason. The rating of an average 5 indicates that I am not fully satisfied with the results of the day's fractal efforts. The colors seem muddy, or it could be that my ancient monitor needs replacing. The render time of 25 minutes is borderline slow, though not nearly as slow as some recent images. But the task of rendering the scene may be escaped by going to the FOTD web site and viewing the image there. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> An absolutely perfect day here at New Fractal Central on Sunday was ignored by the fractal cats, who spent most of the day dashing up and down the hallway. The brilliant sun and tempera- ture of 72F 22C had no effect on the duo. My day was peaceful. With any luck, things will stay that way. The next FOTD, hopefully an improved one, will appear in 24 hours. Until then, take care, and be quiet as a mouse hiding from a cat. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_New_Valley { ; time=0:25:06.99--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotCube passes=1 inside=0 center-mag=+0.00000016885379887/+1.088680605744047\ 00/4.609962e+011/1/35/0.00418326666131869918 params=0/0/0/0 float=y maxiter=50000 periodicity=10 colors=000Vg3Vg2Vg1dfKnfatcombnd_jWWeNTaEQYGP_HPaJ\ ObKOdMNeNNgONiQMjRMlTLmULoVLpUPkUSgTVcTY_S`WScSSgO\ RjKRmGQpCQs8Qv4Ts5Wq5Yo6`m6ck7ei7hg7ke8mc8p`9sY9uW\ AuUArSAmQChNDcKEZHFUEGPBHK8IF5JA2K50K00K00K00L00L1\ 0L10L10M10M10M15M37P59R7AU8CWADZCF`EGcFIeHJhJLjKMl\ bZVujDpfFkcHg`IbYKZUMURNPOPLLRGHSCEU7BW38X49W49V49\ V49U49U4AT4AS5AS5AR5AR5BQ5BP5BP5BO5BO7EN9HNAKMCNMD\ QLFTLGVLHXMHYMH_MI`MIaMIcMJdMJeMJgMKhMKjMKkMLlMLnM\ LoMLpMWlXeifYgTReGlTFjQEiNEhLDgIDfFCdDCcABb7Ba5A`2\ A_0AZ88ZG6ZN5ZV3Za2Ub3Pb3R`4S_5UZ5VY6XX7YV7_U8`T9b\ S9cRAePBfOBhNCiMDjLDiNEhPFgRGfTHeVHdXIcZJc_KbaLacL\ `eM_gNZiOYkPYlPafQd`QhVRkQRlRQmSQmTQnTQnUQoVQoVQpW\ QqXPqXPrYPrZPsZPs_Pt`Pt`PnYViV`cSfZPlUNqVMqWMpXLpY\ LoZLoXMmVMlUMjSMiRNgPNfONdMNcLOaJO`IOZFPWGOYTLESMG\ RMHQMIPMJPMKOMLNNMMNNMNOLNPKNQJNRIOSIOTHOUGOVFOWDz\ RExSEwSEuSEtSErTVg7Vg6Vg5 } frm:MandelbrotCube {; Jim Muth real(c),imag(c) z=p1, c=pixel+p2: z=z*(sqr(z))+c, |z| <= 16 } END PARAMETER FILE=========================================

1 0

FOTD 08-10-06 (Cubic Revelation [7])
by Jim Muth 08 Oct '06

08 Oct '06

FOTD -- October 08, 2006 (Rating 7) Fractal visionaries and enthusiasts: Today's unusually slow image takes us deep into the southern shore of the west branch of the north valley of the cubic Mandelbrot set. This valley is the analog of Seahorse Valley of the classic quadratic Mandelbrot set, though the elements are arranged in powers of 3 rather than powers of 2. The image is very slow because of the unusually high maxiter of one-million. Such a value seems excessive, but it is necessary to fully resolve the cubic midget at the center. I named the image "Cubic Revelation" because I was surprised at the detail lurking in the valleys of the cubic M-set. The rating of a 7 seems appropriate for such a surprising fractal. The downside is the render time, which is almost 2 hours on my tired old warhorse computer. A SOTA machine will calculate the image in under 1 hour, but I still recommend saving time and energy by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Cloudy chilly weather here at Fractal Central on Saturday did not annoy the fractal cats, who have discovered that the task of a cat in a human world is chasing and catching mice. But mice are survivors, and in the mouse community word of dangerous cats gets around fast. No mice dared show themselves in Fractal Central. The cats ended the day by the radiator, washing their faces after their evening meal. The only mice they caught were in their dreams. (Cats do dream, but they never reveal what they dream about.) My day was uneventful. The work continues at a leisurely pace, but signs are on the horizon that a big job might be in the works in about 10 days. I'll keep this in mind as I wander through Fractal Land during the coming week. The next FOTD will appear in 24 hours or so. Until then, take care, and be some- times puzzled. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Cubic_Revelation { ; time=1:48:07.74--SF5 on a P200 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotCube center-mag=-0.002006882\ 31903590/+0.76980029432325660/7.063186e+009/1/85/\ -1.54392511738724036e-005 params=0/0/0/0 float=y maxiter=1000000 inside=0 periodicity=9 colors=000V_NX_R_ZWaZ_dZcfZhiZlj_okZpkZplZplZqmYqm\ YqnYrnYroXroXspXspXsqWtqWtrWtrWtsVusVutVutVvuUvuUv\ vUwvUwwTwwTxxTxxTxySyySyzSyzSyxRvwRtvQruQotPmsPkrO\ hqOfpNdoPfoRdoNbqKYsGStDNqHMoKMmNLkRLiUKgXKhbIf`Je\ _KcZLbYMaXM_WNZVOXUPWTPVSQTRRSQSQJORPSSUWTZ_UccVhg\ XllWmkWmjWmiVmkVmmVmoUmqVlsWkuXjwYixZhy_gz`fz_gzZi\ xZkwYmwXowXqxWswVuwPuzSvxVvyXuz_tyasxbrwcqvcpucotc\ nscmrclqckpcjocinchmcglcfkcejcdidcgebefacg`ah__j_Y\ k`WlaUmbSncQodOpeMqfMrgLshLtiLujKvkKwlKxmJxlKwkLvj\ LuiMthNsfNqeOpdOocPnbQm`Ql_RjZRiYShXTgVTfUUeTVcSVb\ RWaPW`OX_NYZMYXLZWJZVI_UH`TG`SFaREaPH`OK_MNZLPZJSY\ IVXGXXF_WDbVCdVAgU9jT4mR6lS8lTAlTClUElVGlVIlWKkWMk\ XOkYPkYRkZTk_Vk_Xj`Zj``jabjbcjbcjccjdcidchcbgbafa`\ e`_d_ZcZYbYXaXW`WVZVUYUTXSSVRRUQPTPOSONQNLNMKNLJLK\ HKJGJIFIIEIHFJHGKHHMHINHJPHKRHMSHNUHOVHPXHQZHR_HQ`\ HQaOP`KO_HNZDN_5N_AQ_ES_J } frm:MandelbrotCube {; Jim Muth real(c),imag(c) z=p1, c=pixel+p2: z=z*(sqr(z))+c, |z| <= 16 } END PARAMETER FILE=========================================

2 1

FOTD 07-10-06 (Triternion Travels [Not Rated])
by Jim Muth 08 Oct '06

08 Oct '06

FOTD -- October 07, 2006 (Not Rated) Fractal visionaries and enthusiasts: Today's image makes use of a formula revised by Gilles Nadeau and posted to the Fractint list on Friday. (I have changed the space between Neo and T-set in the formula name to an under- score. A space band in a formula name is not permitted.) The formula is designed to draw the three-dimensional triternion Mandelbrot set. It does this very well. But I notice that the images it draws are the same as those drawn by the type=quat formula in Fractint, which claims to draw slices of a four- dimensional quaternion M-set, but which I have always suspected actually draws slices of a circular three-dimensional object. It is apparent that the three-dimensional object being sliced by both formulas is the figure that is traced out when the M-set is rotated around its X-axis. The value I gave (p1) in today's image is +0.64952, which is the Y-value of the prominent valley of the large north bud of the M-set. And not surprisingly, the valley appears in distorted form in today's image. The large open areas at the top and bottom of the frame are oblique slices of the northern bud itself, or rather of the donut-shaped ring this bud traces out as it rotates around the X-axis. The chaos across the middle of the frame is the fringe of the detail on the main-bay side of the valley, grossly stretched as would be expected when slicing through the edge of a donut. What I would like to see is a way of rotating the slice 90 degrees, so that the circles of revolution are drawn, and also the fascinating ovals that must lie in between. I have no idea of how to do this however. The image is titled "Triternion Travels", which is a fair enough opinion of the scene. Since the image has mathematical value but little artistic worth, I gave it no rating. The render time of 7-1/2 minutes on my 10-year-old machine may be avoided by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image as it is posted there. A cloudy cool day here at Fractal Central on Friday went un- noticed by the dynamic duo of fractal cats, who still were more interested in playing with each other and waiting for another mouse to come out. They exhausted themselves playing, and showed little disappointment when no mouse appeared. The usual evening treat was fully enjoyed. My day was totally average. Tomorrow will probably be the same. Until then, when the next FOTD will shine forth, take care, and would the true number of dimensions that make up sub-atomic reality please stand up. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Triternion_Travels { ; time=0:07:26.44--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=Neo_T-set center-mag=-0.124889193/0/42.27946/3.2951 params=0.64952/0 float=y maxiter=5000 inside=0 logmap=186 symmetry=xaxis periodicity=10 colors=000kdff_g`ViWQjTJmSKlRLkRMkQNjQNjPOiOPhOQhN\ RgNRgMSfLTeLUeKVdBjCGbRKVdJKuMMsONrQOqSPpUQoXRnZSm\ `TlbVjdWigXhiYgkZfm_eo`dtddqaco_cmYckWciUcgSceQccO\ caMc_KcYIcWGcUEcSCcN5fQAcSFaVK_XPYZTWaYUcbSfgQhlOj\ pMhqPfrSdrVbsX`s_ZtbXueWugUvjSvmQwpOxrMxuKyxJyzHwy\ FuxDsxBqwAow8mv6kv4iu3hu7isBjrFkpJloNmmRnlVokZpibq\ hfrfjsentcrubvx`uuatsasqasoarmaqkapiaqfbpgapgaph`p\ h`pi_oi_ojZojZokYokYnlXnlXnmWnmWnnVqoUnnVknVhnWenW\ cnW`nXYnXVnXSnYQnYNnYKnZHnZ4bsCsWFnZIj`LfbOaeRYgUU\ iXPl_LnbHpeCsh8uk4wn0yh9lcI_ZRNRX4TY8UZBVZEW_IY`LZ\ `O_aS`aVbbYccadcdedghghfdjdbkc_laYm_WnZToXRqWOrUMs\ SKtRHuPFvODwUEjZFZcGNMAELEGKHIKKJJNLJQMITOHWPHZRGa\ SGdUFgVEjXEmYDp_AxfCucDs`EqZGnWHlUIjRJhPPeUVcZ_abe\ _gkYlpWprVsAao8Wg7Q`6KU5EN7LK9RIBYGDcEFjCGpAAsU5ul\ `FLRMJHTI8ZHQaVgdhyfuvXotOirFcp6YmHWkRVh`TfjSdtR`m\ SXfST_TPTTLMUIFUFP`CZfAgm } Neo_T-set { X=real(pixel), Y=imag(pixel), V=real(p1) x1 = y1 = v1 = 0: x2 = x1^2-y1^2-v1^2 + X y2 = 2*x1*y1 + Y v2 = 2*x1*v1 + V x1=x2, y1=y2, v1=v2 z = x1^2+y1^2+v1^2 z < 8 } END PARAMETER FILE=========================================

3 4

Parameter files
by Kathie Lund 08 Oct '06

08 Oct '06

G'day all, I have been a lurker on this list for some time, & I can't seem to work out how to use the pars on the mailing list. Can someone help me please? TIA Lundy

2 3

Re: Cubic Quat
by Jim Muth 07 Oct '06

07 Oct '06

At 05:01 AM 10/7/06 -0400, Gilles Nadeau wrote: >I would be grateful to you to say to me if this formula >cubic quat is readable by fractint. I use especially >software UF. Yes, the formula can be read by Fractint. >Here the formula. > >Gilles > >CubicQ_Msetb {;Quaternion Mandel formula >; Gilles Nadeau, April, 2005 >; > z=(0,0) > w=(0,0) > cz=pixel > cw=p1: > c=conj(z) > d=conj(w) > s=sqr(z) > t=sqr(w) > a=z*s-2*z*d*w-d*c*w > b=w*s-d*t+c*w*z+c^2*w > z=a+cz > w=b+cw > (|z|+|w|)<64 >} Jim Muth

2 1

Re: [Fractint] FOTD 07-10-06 (Triternion Travels [Corrected])
by Jim Muth 07 Oct '06

07 Oct '06

FOTD -- October 07, 2006 (Not Rated) Fractal visionaries and enthusiasts: The earlier version of today's FOTD will not run because I left out the 'frm:' brfore the formula name. This version works all right. Today's image makes use of a formula revised by Gilles Nadeau and posted to the Fractint list on Friday. (I have changed the space between Neo and T-set in the formula name to an under- score. A space band in a formula name is not permitted.) The formula is designed to draw the three-dimensional triternion Mandelbrot set. It does this very well. But I notice that the images it draws are the same as those drawn by the type=quat formula in Fractint, which claims to draw slices of a four- dimensional quaternion M-set, but which I have always suspected actually draws slices of a circular three-dimensional object. It is apparent that the three-dimensional object being sliced by both formulas is the figure that is traced out when the M-set is rotated around its X-axis. The value I gave (p1) in today's image is +0.64952, which is the Y-value of the prominent valley of the large north bud of the M-set. And not surprisingly, the valley appears in distorted form in today's image. The large open areas at the top and bottom of the frame are oblique slices of the northern bud itself, or rather of the donut-shaped ring this bud traces out as it rotates around the X-axis. The chaos across the middle of the frame is the fringe of the detail on the main-bay side of the valley, grossly stretched as would be expected when slicing through the edge of a donut. What I would like to see is a way of rotating the slice 90 degrees, so that the circles of revolution are drawn, and also the fascinating ovals that must lie in between. I have no idea of how to do this however. The image is titled "Triternion Travels", which is a fair enough opinion of the scene. Since the image has mathematical value but little artistic worth, I gave it no rating. The render time of 7-1/2 minutes on my 10-year-old machine may be avoided by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image as it is posted there. A cloudy cool day here at Fractal Central on Friday went un- noticed by the dynamic duo of fractal cats, who still were more interested in playing with each other and waiting for another mouse to come out. They exhausted themselves playing, and showed little disappointment when no mouse appeared. The usual evening treat was fully enjoyed. My day was totally average. Tomorrow will probably be the same. Until then, when the next FOTD will shine forth, take care, and would the true number of dimensions that make up sub-atomic reality please stand up. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Triternion_Travels { ; time=0:07:26.44--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=Neo_T-set center-mag=-0.124889193/0/42.27946/3.2951 params=0.64952/0 float=y maxiter=5000 inside=0 logmap=186 symmetry=xaxis periodicity=10 colors=000kdff_g`ViWQjTJmSKlRLkRMkQNjQNjPOiOPhOQhN\ RgNRgMSfLTeLUeKVdBjCGbRKVdJKuMMsONrQOqSPpUQoXRnZSm\ `TlbVjdWigXhiYgkZfm_eo`dtddqaco_cmYckWciUcgSceQccO\ caMc_KcYIcWGcUEcSCcN5fQAcSFaVK_XPYZTWaYUcbSfgQhlOj\ pMhqPfrSdrVbsX`s_ZtbXueWugUvjSvmQwpOxrMxuKyxJyzHwy\ FuxDsxBqwAow8mv6kv4iu3hu7isBjrFkpJloNmmRnlVokZpibq\ hfrfjsentcrubvx`uuatsasqasoarmaqkapiaqfbpgapgaph`p\ h`pi_oi_ojZojZokYokYnlXnlXnmWnmWnnVqoUnnVknVhnWenW\ cnW`nXYnXVnXSnYQnYNnYKnZHnZ4bsCsWFnZIj`LfbOaeRYgUU\ iXPl_LnbHpeCsh8uk4wn0yh9lcI_ZRNRX4TY8UZBVZEW_IY`LZ\ `O_aS`aVbbYccadcdedghghfdjdbkc_laYm_WnZToXRqWOrUMs\ SKtRHuPFvODwUEjZFZcGNMAELEGKHIKKJJNLJQMITOHWPHZRGa\ SGdUFgVEjXEmYDp_AxfCucDs`EqZGnWHlUIjRJhPPeUVcZ_abe\ _gkYlpWprVsAao8Wg7Q`6KU5EN7LK9RIBYGDcEFjCGpAAsU5ul\ `FLRMJHTI8ZHQaVgdhyfuvXotOirFcp6YmHWkRVh`TfjSdtR`m\ SXfST_TPTTLMUIFUFP`CZfAgm } frm:Neo_T-set { X=real(pixel), Y=imag(pixel), V=real(p1) x1 = y1 = v1 = 0: x2 = x1^2-y1^2-v1^2 + X y2 = 2*x1*y1 + Y v2 = 2*x1*v1 + V x1=x2, y1=y2, v1=v2 z = x1^2+y1^2+v1^2 z < 8 } END PARAMETER FILE=========================================

2 1

Re: 4D stuff
by jackoftradez＠comcast.net 06 Oct '06

06 Oct '06

""A bit rushed at the moment, I'll post some pars later. "" Hey Russ - post the complete pars for these things, like the revolution solid on your site. So I can render and tweak and maybe animate ....

2 1

Re: whatever
by jackoftradez＠comcast.net 06 Oct '06

06 Oct '06

""I am so far behind the times that I consider the movies made in the 30's 40's and 50's to be better than most of the current day movies, which to me seem to be created for desensitized viewers with the intelligence of a flea and the attention span of a mosquito, and appear to be rated by the number of explosions and the computerized effects they con- tain. "" You and me both! Most of my (huge) DVD collection is sci-fi / horror classics from 60's -> early 90's. I just ordered a bunch of classic "B" movies from amazon - they're on DVD now! I never knew that.....

1 0

Neo T-set
by Russell Walsmith 06 Oct '06

06 Oct '06

3 3

FOTD 05-10-06 (Evaporated Fractal [7])
by Jim Muth 05 Oct '06

05 Oct '06

FOTD -- October 05, 2006 (Rating 7) Fractal visionaries and enthusiasts: Today's image is titled "Evaporated Fractal". An evaporated fractal is just that -- evaporated. Fractals will evaporate when all the exponents of Z in their formula are negative and the escape radius is raised to an extreme value such as the 10^100 of today's image. When fractals evaporate, their 'outside' parts shrink and eventually disappear completely, leaving a blank screen composed totally of 'inside' stuff. But certain inside fills such as the 'bof61' that I used in today's image can bring out the ghost of the fractal that has evaporated. Today's image is such a ghost. To see the un-evaporated version of the image, change the imag(p3) parameter to zero. The result is not quite as interesting as the evaporated version, but it is still worth a look. None of the other inside fills do much with this particular image. I rated today's image at a 7. I like something about the coloring more than would seem apparent at first glance. The render time of 1-3/4 minutes will pass almost instantly. If this does not happen, go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the image there. Gray morning fog led to midday sun here at New Fractal Central on Wednesday. The temperature reached 79F 26C. A very strong thunder-storm moved in at 5pm, turning day to night, but the fractal cats were more interested in the mouse hole than the outside weather -- that is until I plugged the hole, when they turned to me with a look of disappointment on their faces and went on to other diversions. Of course, plugging one hole will never keep the mice out. I am counting on the mouse that barely escaped warning the others about the dangerous cat situation. My day went as good as could be expected. And the fractal was not all that bad either. The next fractal will appear in 24 hours. Until then, take care, and ponder the imponderable. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Evaporated_Fractal { ; time=0:01:48.64--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=+3.866706650767/+2.322479224495/12100.8\ 1/1/-20/3.62e-008 params=1/-1.5/0.333/-4.5/0/1e+100 float=y maxiter=2500 inside=bof61 periodicity=10 colors=000gVKiYMk_OmaQldRkgSjjSjlTioThrUhtUbsLYsD`\ mIcgNfaSiWXlQaoKfqFks9qu4wsAprFjpKdoQYmVSl_Mwmfxac\ yR`zFYz4WnYIbz5Wr6Pk6Ic6BX6GT8LP9F0AK0BUDD_9Ec5Fk1\ GjCKrMNjWQjeTjhWzm_zvzzzgzzzzzeOvdQpdOm_MjVKgQIeMG\ _JEUHCOEAIC8C9777E9IKBTRDcXFno7Rn6Vn5Ym4am3dk2aj2_\ h2Yg1Ve1Td1Rc1Pb3Vb5_a7ea9j`Bp`DudFrhGpkHnoJksKivL\ gtQerVcp_aod`jmVfuQfrPfpPfmPfkPfhPffPfdPjg_njjqlto\ mqmnoknliojgpgepecqbaq`elahhakdan_bqWbtSbwObrTemXg\ iaidek_inWnpRrrNvtel8bnC`oGZqJXrNVsRTuURvYPw`i4Il6\ Mn7Pp8Sr9VtAYvB`xCczDfrVZkkRnnOppMssKuuIcj_N`pMYmL\ VjKSgJPeIMbHJ_HGYBDMXMU5UC6QG6NJ6KM6HQ6ET6BW68ZG7_\ Q7__6`i6`r6`f5hV4pTGlSRiQafPlcOw`Pp_QjZRdZRZYSSXTM\ XUGWUAWWC`XEdYGiZIm_Kr`LveOpiQkmSfqV`uXWyZRu`OqbLm\ cIieFefCah9Yi6VgATeDRcGPaJM_NKYQIWTC6RGDYKJdNPkRVr\ U`y96WVWRotMimPdfR__TVTVPMXKFZF8`A1b92i83p73vC8sGD\ qLInPMlTRiYWga`dedbaf_000 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

Delicate lace pattern -- a zoom in Jim Muth's Oct 4, '06 FotD
by Hal Lane 05 Oct '06

05 Oct '06

########################################################## Here is a zoom and pan in Jim Muth's Oct 4,'06 FotD that creates a delicate lace pattern. Interestingly, one additional zoom is not supported by the floating point precision in my Intel chip. A muddy erratic image results. If you zoom out a few times from Jim's original image all you see is empty space. But I reached up to brush a speck of dust off my monitor and discovered that it was a lit pixel. When I zoomed on the pixel it went away. However, that was due to the solid guessing (g) method of rendering being used. (Solid guessing rendering appears to be the default value for the first entry on Fractint's 'X' page of modifiable parameters. I changed the 'g' to a '1' to get single pass rendering -- a method of rendering that won't drop pixels like solid guessing can.) When I changed to single pass rendering I was able to zoom and still see the pixel. That single pixel when zoomed in on expanded to this image. If the resolution you choose is too low, many points that make up the lace can be lost. 1024 x 768 works well. The lace pattern in my parameter file is not framed exactly the same way as my original .gif image is. No matter how many times I reload the original image and create its parameter file, the size of the parm file generated image seems to be about 10-15% smaller than my original .gif image. Anyone have any ideas about what's going on??? <---<< - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START PARAMETER FILE======================================= Lace_C { ; Hal Lane Oct 04,'06 5:06 P400 1024x768 ; Zoom and pan in Jim Muth's Oct 4,'06 ; FotD. If you zoom once more floating ; point precision is lost. Nice lace. ; If the resolution you choose is too ; low, many points that make up the lace ; can be lost. 1024 x 768 works well. reset=2004 type=formula formulafile=_pastarc.frm formulaname=mandelbrotmix4 function=recip passes=1 center-mag=+3.49473090804890900/+1.14324392815559900/2.\ 360511e+012/0.9997/130.041983675011238/-0.0172431643752\ 262304 params=1/-1.5/0.333/-4.5/0/0 float=y maxiter=1000 inside=0 logmap=79 periodicity=10 sound=off colors=0000A0<3>0C9<2>AEFDFHHHJ<3>UPRXRT`TVcVYfX_iZa<3>\ mhiojkpmmroprrsttvuuzwuzxuzzuzzuzzuzxqzvnwukrshm<3>p_Up\ YQoWN<3>lOClMAhLD<3>UIPRHSNGVKGXdUfygpp0mgQo_oq<3>JkmFj\ lIdn<3>UItceI<3>MBJI4JJ8I<8>MaHNeGNhG<3>OuG<8>knhmmkpln\ <3>zjz<4>jVegRadOY<3>TCIYqm<2>KEE1kE9O8d0xlK8<2>O53pRec\ ISS9FnW0_cBQK6grAgrxIQ1<2>G72tD`_7JxZb1Ik6CWB6HGUD<2>G8\ 4gRZYIOP9DQFz<2>I4H4f_EYy<2>G9H_GX<2>L49n0xtldfXSTHFk9c\ W5L5uR9bIDKAA4mf0P<2>M07wVh<2>R8C5cz9ReDEMCib21h71UC1Gg\ 9KBjV7oV3sVOSdh0n<2>cFR<3>KIXFJZAJ_5Ka1KbUVNvd8<3>Q5SI0\ XU0Ve2T<3>m4qo4wxTrP0`K1JkaU<2>OA9PoEMZAJI65OOBCD80mB0Y\ E0IjQIVDA_nZQQI9GQCBIE6AB_VDOLFCBM0TK0MR6OO7L000 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE======================================== ########################################################## -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.407 / Virus Database: 268.12.12/462 - Release Date: 10/3/06

2 1

FOTD 04-10-06 (Dark Shadows [Not Rated])
by Jim Muth 04 Oct '06

04 Oct '06

FOTD -- October 04, 2006 (Not Rated) Fractal visionaries and enthusiasts: Today's image is named "Dark Shadows". This is no tribute to the old TV series that ended over 30 years ago. It describes my dark mood. When bad things happen to good people, it gets me mad. I start wondering why. Like most people, I do not like meaninglessness. And like quite a few others, I am becoming ever more disappointed with a material-based science that is helpless in the face of the big questions of life. At the same time, I am not so naive as to wonder why a God who is all-good etc. permits the bad things to happen. But I do wonder how it was possible for the human mind to evolve such an instinctive need for meaning if behind all the physical glitter there is nothing but a meaningless random accident. In recognition of my dark mood I have created a fractal that is almost entirely darkness. It resembles little more than a dew- sprinkled spider web glistening in the pre-dawn gloom, illumined by the rays of a distant street light. The image was created by combining Z^(-1.5) with Z^(-4.5) and adding (1/C). The somber color palette is an intentional creation. Since I intentionally made the image so gloomy, I gave it no rating. One bit of good news is that the render time of 1-1/2 minutes will try the patience of no one. And the task of rendering may be avoided entirely by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A temperature of 79F 26C and partly cloudy skies went unappreci- ated by the fractal cats, who, because the mouse failed to reappear, joined me in sulking. The evening treat of cheese and tuna only partly eased their disappointment. Except for the bad news on the TV, my day was fairly routine. If all goes well and tomorrow is a repeat, the next FOTD will appear in 24 hours. Until then, take care, and don't be a gloomster. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Dark_Shadows { ; time=0:01:36.12--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=+3.494730910064264/+1.143243928066017/\ 7.666195e+011/1/120/0 params=1/-1.5/0.333/-4.5/0/0 float=y maxiter=1000 inside=0 logmap=79 periodicity=10 mathtolerance=0.05/1 colors=0000A00B20B40C70C93DB7DDAEFDFHHHJKJLNLNRNPU\ PRXRT`TVcVYfX_iZaj`ckcelegmhiojkpmmroprrsttvuuzwuz\ xuzzuzzuzzuzxqzvnwukrshmrehrccqaZp_UpYQoWNnUKnSImQ\ FlOClMAhLDdKGaJJYJMUIPRHSNGVKGXdUfygpp0mgQo_oqVnpR\ moNlnJkmFjlIdnLZpOTqRNsUItceIZYJVQJQJJMBJI4JJ8IJBI\ KFIKIIKLILPHLSHLVHMZHMaHNeGNhGNkGOoGOrGOuGRtKUsNWr\ QZrT`qWcpZfoahoeknhmmkplnslquktxjwzjzvfuscqp`mmYij\ VegRadOYaLUZIQWFMTCIYqmTcaPRQKEE1kE9O8d0xlK8cF6WA5\ O53pRecISS9FnW0_cBQK6grAgrxIQ1HJ2HD2G72tD`_7JxZb1I\ k6CWB6HGUDGMAGF7G84gRZYIOP9DQFzNBjL8WI4H4f_EYyFPjF\ HWG9H_GXVCPQ8HL49n0xtldfXSTHFk9cW5L5uR9bIDKAA4mf0P\ _0JT0DM07wVhlNYaGNR8C5cz9ReDEMCib21h71UC1Gg9KBjV7o\ V3sVOSdh0nf5fdAZcFRZGTUHUPHWKIXFJZAJ_5Ka1KbUVNvd8m\ WDeNIYENQ5SI0XU0Ve2Tg3_i3ek4km4qo4wxTrP0`K1JkaUcSN\ WJGOA9PoEMZAJI65OOBCD80mB0YE0IjQIVDA_nZQQI9GQCBIE6\ AB_VDOLFCBM0TK0MR6OO7L000 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

2 1

FOTD 03-10-06 (Minibrot in Bloom [5])
by Jim Muth 03 Oct '06

03 Oct '06

FOTD -- October 03, 2006 (Rating 5) Fractal visionaries and enthusiasts: Yes, I know that today's FOTD is late. As often happens in my convenience-type business, an unexpected job came in on Monday morning, which the customer needed the same evening. The job was small, and was indeed finished by evening, but this left little time for fractals. Despite the rush I did find one fractal with a bit of interest. It appears as today's FOTD. The image is a scene with a mini- brot, in the parent fractal that results when negative portions of Z^(-1.6) and Z^(-4.7) are combined and (1/C) is added. I often use reciprocal C with fractals that contain negative exponents of Z. Such negative fractals are often inside-out. Reciprocal C turns these fractals inside-out again, which makes them rightside-out and easier to examine. I enhanced today's image by calculating it with the 'outside' set to 'tdis', but it is impossible to make much of little, so with little to start with, I could rate the result no greater than an average 5. I named the image "Minibrot in Bloom" for no particular reason. It is only fair that a merely average image be a fast one, and with its render time of only 3 minutes, today's image is fast enough. The only faster way of viewing the less-than-glorious scene is to take a virtual trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and to download the completed image from there. A morning with drifting patches of fog gave way to a sunny warm afternoon with a temperature of 70F 21C here at New Fractal Central on Monday. The fractal cats glanced out the window a few times, but spent most of the day waiting by the hole for the mouse to come out and play. They must play too rough, for the mouse never appeared. Their disappointment was eased in the evening by a generous treat of tuna and cheese. My day was unusually busy, but it looks like things will now be normal for a week or two. Unless I am wrong, which I sometimes am, the next FOTD will appear in around 15 hours. Until then, take care, and walk in this world with puzzlement and enjoyment. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Minibrot_in_Bloom { ; time=0:03:05.92--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=-0.84928080821253190/-1.706583784520602\ 00/1.211013e+008/1/122.5/-5.73023364377339695e-005 params=-1/-1.6/-0.5/-4.7/0/0 float=y maxiter=1000 inside=0 outside=tdis periodicity=10 colors=000oVCoTBoQAoO9oM8oK7oI7jNCeRH`WMW_R7A8TkXN\ kWKiZIhaGgcDffBeh9ck6bn4ap2`s0_u2Zt4Zs6Zr7Zq9ZpBZo\ CZnEZmGZlIZkJZjLZiNZhOZhPajQclRenSgoTiqUksVmtWovXq\ xXsyYnwYjvYftYbsYZrYUpYQoYMnYIlYEkYAjXCkWDlVFmUGnT\ HnSJoRKpQMqPNqOOrNQsMRtMStKRrJRqIQoHQnGQmFPkEPjDPi\ COgBOfAOe9Nc8Nb7Na6J`6F_6BZ67Y63X60X72V84U86T98RAA\ QACPBEOCGMCILDKKEMJEOHFQGGSFGTEISDKRCMRBNQAPQ9RP8S\ P7VS8XV8ZY9``9cbAeeAghBikBkmBijAgg9fd9da8cZ8aW7_T6\ ZQ6XN5WK5UH4TF4ONBKVIFbPBiWBgYBfZBe`BcaBbbBadB_eBZ\ fBYhBWiBVkBUlBSmBRoBQpBPqMOnWNkfMhpMeqNcrNasN_sNYt\ NXuNVuNTvNRwNPxNOxNMyNKzNIzNHuQGqSKuUOhWEcYD__CVaC\ RcBMeAIgADi99k85m89kEDiJHgOLeTPcYTacX_h`YmdWrhUwX`\ qLgkAnfGrbAd9EcDIbGLaJP`MT`QW_T_ZWcYZfXajXenWhqVku\ UnxUqrRhlO`fMS`JKVGBQE3SF5UG7VG8XHAZIB_IDaJEcKGdKI\ fLJhMLiMMkNOlNPlLQlJRlHSlFSlETlCUlAUl8Vl6Wl5WPQQ1i\ KmjJngIneHncGnaFnZEnXDzWS } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

Vigilant cats
by Jim Muth 02 Oct '06

02 Oct '06

I wrote: >>The duo [of cats] watched the hole for over an hour, but the mouse never >>re-appeared. When they finally lost interest, I praised them >>for their vigilance and gave them an extra treat. Hal Lane replied: >Are you sure that they don't think that you rewarded them for >*stopping* their watch at the mouse hole? Behavior re-enforcement >using rewards can be tricky... If they got the wrong idea, they seem to have forgotten it. The duo was back at the hole a good part of today. Jim Muth

1 0

FOTD 02-10-06 (New Low Record [5])
by Jim Muth 02 Oct '06

02 Oct '06

FOTD -- October 02, 2006 (Rating 5) Fractal visionaries and enthusiasts: Today's image is more a curiosity than a work of art. The name "New Low Record" has nothing to do with the weather. It refers to the exponent of Z in today's fractal, 1.05, which is the new low record. I have never before found a midget in a Mandeloid of such a low order. And what do midgets in this range look like? As today's image shows, they look like little more than lopsided ovals centered in a splash of total but semi-orderly chaos. I chose a color palette with very narrow and sometimes clashing color bands to emphasize the confusion. The question might arise as to how I manage to find the midgets in such unpromising fractals as today's parent fractal. To see the difficulty, zoom out of today's image to a magnitude of 0.5 while keeping the same center coordinates, and see if any visible sign exists that a midget might lie at the center of the frame. Nothing is there but waves of chaos. But Fractint is very versatile, and has built into it a secret method of finding hard-to-find midgets. Take the hopeless outzoom with its waves of chaos, change the 'outside' option from 'iter' to 'fmod', with a proximity factor of 0.1, make sure the 'logmap' is off, and re-calculate the hopeless image. Surprise! The location of the hidden midget is now indicated by a bulls-eye. Simply continue zooming into the center of the bulls-eye until the midget is reached. The location of other hidden midgets lying nearby is also apparent. These 'fmod' bulls-eyes do not always lead to midgets, sometimes they lead to bottomless spirals, but they lead to midgets often enough to make the 'fmod' outside option one of the most useful. I must congratulate the one who thought of putting it into the program. The question arises of why I would want to find such chaotic midgets in such low-order Mandeloids. The reason is just for the fun of seeing how low I can go. My goal is to find a midget in a Mandeloid with an exponent of Z less than 1.01, but that might be impossible. I could rate today's image no higher than an average 5. It has no center of attraction and only a vague overall theme. The elements near the shoreline of the midget sub-divide so rapidly that they soon disintegrate into fractal sand. The render time of 13 minutes is a bit slow. But the image may be viewed in its completed form on the FOTD web site in almost no time. The FOTD web site may be found at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A partly cloudy and warmer day, with a temperature of 66F 19C, here at New Fractal Central on Sunday went un-noticed by the fractal cats, who spent most of the day staring and sniffing at the hole in the floor by the radiator pipe, waiting for the mouse to pop out again. Unfortunately for them, the mouse is now cat-wise, and is unlikely to show itself in such dangerous territory. When the evening treat time came, I wondered if the cat duo might have preferred mouseburgers. My day was as pleasant as things can be expected to be in this far from perfect world. The work is caught up, albeit temporar- ily, and the fractals are in no danger of running out. The next fractal will appear in 24 hours. Until then, take care, and the human eyes never see all that lies before us. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= New_Low_Record { ; time=0:13:06.91--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=-0.2055129638\ 737225/-5.1312228660223/6.741629e+007/1/-117.5/0 params=1.05/0/-37/10000 float=y maxiter=10000 inside=0 periodicity=10 colors=000Pr1Pp1Oo1Nm1Mk1Mj1Lh1Kg1Je1Jc1Ib1H`1GZ1G\ Y1FW1EV1DT0CR0CQ0BO0AM09L09J08H07G06E06D05B0490380\ 360240130010bwb_r_XmXUiURdRO_OLWLIRIFNFCIC9D969634\ 3bZnaYl`Xk_WjZViYUgXUfWTeVSdURcTQaSP`RP_QOZQNYPMWO\ LVNKUMKTLJRKIQJHPIGOHFNGFLFEKEDJDCIDBHCAFBAEA9D98C\ 87A769658557446334223112001zYNoSJeMFVHBLB7A53nSclR\ bkQajQ`iP_hOZgOYfNXeNXdMWbLVaLU`KT_KSZJRYIQXIQWHPV\ HOTGNSFMRFLQEKPEKODJNCIMCHLBGJAFIAEH9DG9DF8CE7BD7A\ C69B68957846746635534423312211100sdSqbRoaQm_PkZOiY\ NgWMeVLdUKbSJ`RIZPHXOGVNFTLESKEQJDOHCMGBKFAID9GC8E\ A7D96B85964753542321110B_Q9VM8RJ6MG5ID4D9296143uRR\ TDDoDgmCekCciBbgB`eAZcAYa9W_9UY8TW8RU7QS7OQ6MP6LN5\ JL5HJ4GH4EF3DD3BB29928716514303101g7I`6FV5CP4AI37C\ 25612i8Fg7Ef7Ed7Dc7Db6C`6C_6BZ6BX5BW5AKYeJYfIWdHUb\ GT`FRZEQXDOVCNTCLRBKPAIN9HL8FJ7DH6CF6AD59B47936724\ 5133100011IR4Ty2Sw1Ru1Qt1 } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

FOTD 01-10-06 (Rectangle Apparition [7])
by Jim Muth 01 Oct '06

01 Oct '06

FOTD -- October 01, 2006 (Rating 7) Fractal visionaries and enthusiasts: Nobody's prefect. Not even myself. I was surprised when someone actually caught the intentional mis-spelling in my recent note. Fractalists are sharp indeed. It's what happens to those who think about numbers too many times. Today is October 01, the day quadratic midgets are permitted to reappear. And I wasted no time. The image for the day shows a midget in the East Valley area of the large midget on the main- stem complex of the Z^(2.003)+C Mandeloid. This is the area of the Julibrot where the curious Julia rectangle is located. The train-tracks that criss-cross the area are obvious. And if you look carefully around the midget, you will find eight tiny copies of the great Julia rectangle itself. At first glance the Mandelbrot rectangles seem to be perfect copies of the Julia rectangles, but a bit of experimenting shows a significant dif- ference in their interior structure. The Julia rectangles stay almost fixed in position as the value of C is changed, while they fill in and their shape undergoes rapid transformation. The Mandelbrot rectangles zoom out of sight off the screen with the slightest change in the value of Z, but when they are finally found, it is seen that they are still open and their shape has remained largely unchanged. The reason for this lies in the peculiar four-dimensional geome- try of the rectangles. I will not try to describe this geometry until I can actually visualize an entire tesseract in a single moment of time. I do not expect to be able to do this for quite a while yet. The rating of a 7 for today's image seems about right. The name "Rectangle Apparition" has the slight hint of the mystical that is suggested by the entire world of fractals. The render time of 17-1/2 minutes borders on slowness, but the result is worth the wait, and no waiting at all will be needed if the finished image is viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A cool cloudy drizzly day with a temperature of 55F 13C here at New Fractal Central on Saturday kept the fractal cats confined indoors. But since they never go out anyway, they were uncon- cerned. They had one moment of excitement however, when a mouse popped out and scurried down the hallway. The would be mouse- catchers fell over each other in pursuit. The mouse got away through a hole by a radiator pipe, having learned its lesson. The duo watched the hole for over an hour, but the mouse never re-appeared. When they finally lost interest, I praised them for their vigilance and gave them an extra treat. My day was reasonably pleasant. The work is up-to-date, nothing big is in sight, and the fractals are going well enough. What else could a fractalist want, other than the answer to the ques- tion of the meaning of existence? The next FOTD will appear in 24 hours. Until then, take care, and does meaninglessness reign supreme? If it does, what is the meaning of it. Or is the very concept of meaning a creation of human thought processes? I wonder. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= RectangleAparition { ; time=0:17:35.23--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 center-mag=-0.000000312\ 87984841/-0.00000010697476267/5.35887e+011/1/20/\ 7.8241581935589721e-008 params=0/0/0/0/-1.7435/0/0\ /0/2.003/0 float=y maxiter=7600 inside=0 logmap=988 periodicity=10 mathtolerance=0.05/1 colors=000MBAODAQFASHAUJAWLAYNA_PAaRAcTAeVAgWAiXAk\ YAmZBm_AmaCmbEmdGmeInfKqhMtiOwkQznSzqUztWzwYzz_oYV\ mZXlZZkZ`jZbi_dh_fg_hf_je`ld`nc`pb`q`bnZclXdiWegUg\ eShbRi`PjZNlWzmUznRzoPzqNzrKzsIztGzsJzrMzqPzpSKoUM\ nXOm_PlbRkeSjgUijWhmXgpZfs_fuaetbetddtedtfdthctict\ kbtlbtmbtoatpatr`ts`tt`trdophkokgmoclr_jvWiySVXUO_\ WHbZAd`FeaJebNecRedVeeacigbmmaps`ty_wpbhhdU`fFdiLg\ lRjnXmqbpshsvnvxsoslioeck_YgTScMM_GLaBKb6Jc1NfLQid\ TkxXZ``NDZSCXWCV_CSYMPXWMVeJUo7lPFeUN_ZUUcXT`ZTZaT\ XcTUfTShTQjTO`0PxngfipPdxSUmUKcWAUU9RT9OS9LS9IV8FY\ 8C`89c51h86f0AzMAyAEqEIhFMdHQ_IUWJYSK`UJaWIbXHcZGd\ `FeaEfcDgk3ddDgYMiRVkKcmDlo3uy7uqAuiEubHuVLuOOuGRu\ 9_lGhcMqWSoUTmSUkQViOWgMXeKYnNagMWdOZbQa_SdYTfWUiT\ VlRWoDXrJYqPZqU_p_`peaojbopcnuenohjikgcncYq`StXMwU\ GzLHzOHzRIzdHzZHzUHzOBzLHzJNzITzHZzFdzEjzDpzCqz9qz\ 6qz4nz5kz6lzIlzLmzNmzQmzS } 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=========================================

2 1

Re: [Fractint] FOTD 30-09-06 (Super Surrealistic [Not Rated])
by Vortex Swirling 30 Sep '06

30 Sep '06

This reminds me of Ben Franklin's kite.

1 0

FOTD 30-09-06 (Super Surrealistic [Not Rated])
by Jim Muth 30 Sep '06

30 Sep '06

FOTD -- September 30, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's FOTD is really for the 30th of the month. Yesterday's FOTD was dated the 30th, but it actually was the FOTD for the 29th. I must have been groggy when I lost track of the actual date. There was no FOTD for the 28th. Oh, that poor Z^(2.003)+C rectangle. What a series of convolu- tions it was put through! In today's image we see it as a dis- torted, apparently melting picture frame that consists totally of 'inside' stuff and therefore doesn't really exist. But the rectangle that is not really there is filled with semi-random debris, made visible by the 'bof61' inside fill. Not all of the image is inside stuff however. Set the inside to 'numb' to see which is which. The orientation of the slice is within four degrees of the Julia direction. This Julia aspect may be seen by changing the first three parameters to 90. As expected, when this is done, the melting picture frame contracts into a near but not quite perfect rectangle. I have not followed the picture-frame very far from the Julia orientation, but I doubt that it continues to any of the other five perpendicular orientations. I named the picture "Super Surrealistic". Surreal means more real than real, so it is anybody's guess what super surreal might mean. I gave it this name because the melting frame reminds me of the famous melting watches. Since I'm not sure what I think of the scene, I gave it no rating. If I had, it would have probably rated about a 7. The calculation time of just under 4 minutes will make no one unhappy, unless, that is, they don't care very much about frac- tals. But even those whose interest in fractals is fleeting will enjoy the melting fractal picture frame when they can view it without effort on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Partly cloudy skies, chill breezes and a temperature of 59F 15C here at New Fractal Central on Friday bothered the fractal cats not at all. They spent most of the day being mad at each other for something that happened yesterday. But it is hard for cats to hold a grudge more than one day, so by the time their treats of cheese and tuna were served, the quarrel had been forgotten. My day went rather smoothly. The day's fractal turned out good enough, so I guess I have no cause for complaint. The next FOTD will appear in 24 hours. Until the time of celebration arrives, take care, and watch your iterations. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Super_Surrealistic { ; time=0:03:50.25--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 passes=b center-mag=+0.004540427751695/-0.00227139874739/116 params=91/86/91/0/-1.7435/0/0.00019/0.07388/2.003/\ 0 float=y maxiter=400 inside=bof61 periodicity=10 colors=000JZwL`tMaqzzrPdkQfhNPPTibUj_zlzXmUYoRzpO`\ rLasIbzzfuLivRlwXoxbryhuznAupSvbhvPyvBxtCwrDvpDuoE\ tmEtkFsiFrhGqfHpdHpbIoaIn_JmYJlWKlVKkSOjPRiMVhJYgG\ afDdeAhd7kc4ob1r_5nY9jVDfTHbQLZOPVMTRJXNH`JEdFChBA\ k8AgCAdFAaIAZLAVOASRAPUAMX3NdAJ_HFWNBRU7N_3JZ6MZ8O\ ZBRYDTYFVYIYXK_XNbXPdWRfWUiWWkXXpWYmWYjVZgVZdVZaU_\ ZU_WU_TT`QT`NT`LbeSliYtpbumcukduieugfudgvbhv`ivZiv\ WjvUkwSlwQmwNnwLowJpxDvwHpwKkvNevQ`uTVuWQtZKtaFsd9\ si3sg4se5sc5sa6s`6sZ7sX7sV8sU8sS9sQ9sOAsNAqLDoKFnJ\ HlIJjHLiGNgFPfERdEQbEO`ENZEMXELVEKTEJREIO5OPEHPNAP\ W3JNPDFiEIkELlEOnERoEUqEXrE_tEbuEewEgxFhuGhsHhqIho\ JhmKhkLhiMhgNheOhcPhaQh_RhYShWThUUhSVhQWhOXhMYhKZh\ I_hGdiC`hEXhGTgHPgJLfKHfMDeN9eP6eQ5gQ5hQ4jQ4kQ4lQ3\ nQ3oQ3pQ2rQ2sQ2tQ1vQ1wQ1xQIlIZ`A05SoQ2lR5jR7hR9eRC\ cREaRGZRJXRLVSNSSQQSSOSULSXJSZHS`FSbGRcHQcIQcJPcKP\ dKOdLNdMNdNMeOMeXjZfwDWkZ } 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=========================================

1 0

Re: FOTD 30-09-06 (Flying Saucer [Not Rated])
by Jim Muth 29 Sep '06

29 Sep '06

At 01:39 AM 9/29/06 -0500, you wrote: >On Thu, 28 Sep 2006 at 23:52:01, Jim Muth wrote: >> >> FOTD -- September 30, 2006 (No Rating) >> > >Is this FOTD really for more than one day into the >future?? Another words skipping both the 28th and >29th?? To set the record straight: There is no FOTD for the 28th. The work was too heavy. When I posted the 'Flying Saucer' FOTD, I was a bit confused on the date. I assumed it was the evening of the 29th when actually it was the 28th. To simplify things, I have changed the date of the 'Flying Saucer' image to the 29th. The true FOTD for September 30th will appear at the usual time in about 14 hours. Nobody's prefect. Jim Muth

2 1

FOTD 30-09-06 (Flying Saucer [Not Rated])
by Jim Muth 29 Sep '06

29 Sep '06

FOTD -- September 30, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's image keeps us in the vicinity of the 2.003 rectangle. This time we view it, or what is left of it, in the Parabolic direction. And what remains is very little. The brilliant blue background in the center is the leftovers of our once near-perfect rectangle. Such a total transformation is rarely seen. The entire image consists of normally invisible 'inside' stuff made visible by the bof61 inside fill. I put not enough effort into the work to give it a rating. The name "Flying Saucer" was inspired by the vaguely UFO shaped ring of red elements surrounding the saucer. The 6-3/4 minute wait for the image to calculate may be avoided by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Morning sun gave way to midday clouds and afternoon downpours here at New Fractal Central on Thursday. The accompanying thunder caught the attention of the fractal cats, but not for long. They somehow got into a boxing match, unarmed of course, and finished the day sulking at each other. My day started in a rush, but came under control by the time the rain moved in. Things look like they will be on the slow side well into next week, which can only mean better fractals. The next glorious fractal will appear in 24 hours. Until then, take care, and if 1 plus 1 equaled 3, what kind of change would it cause in the world of fractals? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Flying_Saucer { ; time=0:06:40.19--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 passes=1 center-mag=-0.00001840140143798/0/32447.2/0.01219/\ -90/-1.23373533611470521e-014 params=0/90/0/0/-1.7435/0/0.00019/0.07388/2.003/0 float=y maxiter=275 inside=bof61 periodicity=10 colors=000zhkzikzkOzkOzkOzkOzkOzkOzjQzkPzkOzkNKmzo\ lL68y87J97tA7rB7pC7nD7lE7jF6hG6fH6dI6bJ6`K6ZL6XM5V\ N5TO5RP5PQ5NR5LS5Ji5HW9IYDI`GIbKIeOIzRIjVIlZIoaIqe\ ItiIzzzmZRdM_X9gVAjTAmRzpQBrOBuMBxLBzIJxFRvCZt9fr6\ nqDkpKhoReoYbnd_nbamabl`cl_dkZekYfjXgjVhiUiiTjhSkh\ RlgQmgPnfOofRkcUhaWd_ZaYaYWcVUfRRhOPkKNnHLpDJsAHu7\ Ft9EtAEsBEsCErDErEDqFDqGDpHDpIDoJDoKCnLCnMCmNCmOCl\ PBlQBkRBkSBjTBjUBhUGfUKdUObUS`UBZU_XUdVUhTUlRUpPUt\ OUxRTvUTuXTt_TsaSqdSpgSojSnlSmkRnjQniQnhPngPnfOneO\ ndNncNnbMoaLo`Lo_KoZKoYJoXJoWIoVIoWJrYLsZNt`PtaQub\ SvdUveVwgXwhZxi_ykaylczmdzlcvkcsjcojclichhcegcagcZ\ fcVecSecPdaQc`RbZSaYT`XU_VVZUWZTXYRYXQZWO_VN`UKzTK\ bSJcSIdRGeQFfPAgOChNBiM9jL8kL7l6lh7fc8`Z9VUAPPBJKB\ EFCDGDDGDDHEDHEDIFDIGCIGCJHCJHCKICKICLJBLKBLKBMLBM\ LBNMBNMBNLCPKDQKERJFTIGUIHVHIXGJYGKZFK`FLaEMbDNdDO\ eCPfBQhBRiASjASk68k68r000 } 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=========================================

3 2

[Fractint] JoTz, Thanks for making the animation! Its really great.
by Hal Lane 27 Sep '06

27 Sep '06

################################################### >Date: Tue, 26 Sep 2006 02:08:26 +0000 >From: jackoftradez(a)comcast.net >Subject: [Fractint] Re: The Rectangle Julias >To: fractint(a)mailman.xmission.com > >Hal Lane's flaming comet from Hell (or is it a flying carpet?) >inversion thru the 4th dimension is posted: > >http://www.fractal-animation.net/vid/4d_twist.zip > >It is WMV format, 640x480, 6.9MB. As always, there is some >resolution hit due to the MPEG compression; the 800x600 AVI is 100 >freakin' MB! But if enuf people scream for it I'll consider posting it. > >Those "perfect rectangles" from the Z^2.003 Julia are not perfect >and not rectangles (strait line edges) although they look like it >from a distance zoomed out. Try zooming in. The edges are chaotic >and there is always one point (in this case on the right, East, >side, middle) which is like an opening or abberation, reminiscent >of the West end of the normal M_SET. Zooming into it it gets real >complex, but the images take long to render. > >Stay amazed >JoTz JoTz said: >> Now exactly who gets the credit? Muth? Lane? Skinner? ALL?? > Hal Lane said: >All, including you. Its just like a scientific paper with a long >laundry list of names at the top. Everyone did a little and a >lot got done. Kind of like stone soup... JoTz, Thanks for making the animation! Its really great. I don't have the facilities for making videos here or I would try making one. What programs do you use to make the animation from the series of .gif images? <---<< - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ###################################################### -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.405 / Virus Database: 268.12.9/456 - Release Date: 9/25/06

1 0

FOTD -- 27-09-06 (Lilac Icefall [Not rated])
by Jim Muth 26 Sep '06

26 Sep '06

FOTD -- September 27, 2006 (No Rating) Fractal visionaries and enthusiasts: In today's image we make a quick return to the MandelbrotBC2 formula to check a scene in the Z^(1.2)+C Mandeloid as it appears 12 levels up the infinite complex logarithmic spiral. I assume that a midget or a hole of some sort lies at the center of today's image. But even if it is a bottomless pit in the image, the scene is still attractive enough with its lilac and blue tones and its lightning-like filaments circling the depression. Since the image is another almost-automatic one, I did not give it a rating. The name I chose, "Lilac Icefall", came to me as a whim. I really see little in the picture to remind one of a mass of shattered blocks of ice. The passes=b option works best with today's image, and it is also the fastest. The 1-1/2 minute render time should try the patience of only those with handicapped computers. For conven- ience, the finished image is posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The partly cloudy weather on Tuesday with a temperature of 75F 24C made no impression on the fractal cats here at New Fractal Central. They were more interested in chasing invisible crit- ters up and down the hallway. (I would like to see them catch one of the things they chase, so we could see what it is.) When the cats failed to catch anything, they satisfied themselves with their faces in their food dishes. My day was very busy. The job is about half finished. From the rate things are moving, I cannot guarantee an FOTD for tomorrow (actually I never can) but I'll see what I can do. I'll give a 67-percent chance that an FOTD of some sort will actually appear. Until next time, in 24 or 48 hours, take care, and don't get frustrated if your fractal will not iterate. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Lilac_Icefall { ; time=0:01:39.12--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=b center-mag=-1.66780124201185200/+2.552517437489564\ 00/1.003565e+010 params=1.2/0/12/0 float=y maxiter=1050 inside=255 logmap=112 periodicity=10 colors=00002M02K01I00G00E41CA2FF2NK3RP3VT4`Z4fc5lf\ 5qhEriNskWtldtgaocZj_XeWU`SSWOPRKMMGKHCHC8F8AHECJJ\ ELPGMUIO_KQdMRjOToQVuRWzSVxTUvUTuVTsWSrXRpYQoZQm_P\ l`OjaNibNgcMfdLdeLcfNagP`gRZhTYiVXiXVjZUj`TkbRldQl\ fOmhNnjMnlKonJooI3Uo6Xn8ZnA`nCbmEdmGfmIhlKjlMllOnk\ QpkSrkVsjYti_thYqfWodVlbTj`SgZQeXPbVN`TLYRKWPXlPdo\ KcmLckMciNbhObfPbdQbbRaaSa_TaYUaWV`VW`TX`RY`QZWSVR\ TSMUPIVMDWJ8XG4YDFaBPeA_i9im8sp7oq8kq9hq9dqA`rAYrB\ UrBQrCNrCPqDQpDRoDSnDTmDUlDWkEXjEYiEZhE_gE`fEaeEbd\ HccJcbMdaOe`Re_TfZWfZYWXaMVeBTi1Sl6TnBUoGVpLVqQWsV\ Xt_YucYv`ZlY_cV_US`LQ`CPaDPbDPcDPdDPeDPfDPgDPgDOhD\ OiDOjDOkDOlDOmDOnDOnDTkIYiNbgSgeXlcapaen_flYgjWhhU\ hfSidQjbOk`MkZKlXImVGnTEnRCoPApN8qM6qO9pQCpSEpUHoW\ JoYMo_PnaRncUneWmgZmh`mfUpdNsbGu`9x_2zeBmjK`oTPtaC\ yj0nS5c99e8Bf7Dg7Fh6Hi6Jj5Lk5Ml4Om4Qn3So3Up2Wq2Xi3\ Wb4WW5WP6WI6WH5SH4PH4MG3I } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

2 1

Re: The Rectangle Julias
by jackoftradez＠comcast.net 26 Sep '06

26 Sep '06

Hal Lane's flaming comet from Hell (or is it a flying carpet?) inversion thru the 4th dimension is posted: http://www.fractal-animation.net/vid/4d_twist.zip It is WMV format, 640x480, 6.9MB. As always, there is some resolution hit due to the MPEG compression; the 800x600 AVI is 100 freakin' MB! But if enuf people scream for it I'll consider posting it. Those "perfect rectangles" from the Z^2.003 Julia are not perfect and not rectangles (strait line edges) although they look like it from a distance zoomed out. Try zooming in. The edges are chaotic and there is always one point (in this case on the right, East, side, middle) which is like an opening or abberation, reminiscent of the West end of the normal M_SET. Zooming into it it gets real complex, but the images take long to render. Stay amazed JoTz

2 1

Re: Now exactly who gets the credit?
by Hal Lane 26 Sep '06

26 Sep '06

> Date: Sun, 24 Sep 2006 02:30:52 +0000 > From: jackoftradez(a)comcast.net > Subject: [Fractint] Re: Fractint Digest, Vol 43, Issue 12 > I am making an animation from ... 6CARPT92 > > It's looking awesome - like a comet turning into a flying carpet. > Now exactly who gets the credit? Muth? Lane? Skinner? ALL?? All, including you. Its just like a scientific paper with a long laundry list of names at the top. Everyone did a little and a lot got done. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.405 / Virus Database: 268.12.8/455 - Release Date: 9/22/06

1 0

FOTD -- 26-09-06 (Momentary Diversion [Not rated])
by Jim Muth 25 Sep '06

25 Sep '06

FOTD -- September 26, 2006 (No Rating) Fractal visionaries and enthusiasts: The expected rush job has arrived, so I will need to keep today's discussion brief. Today's scene is a slice of the Z^(2.000001)+C Julibrot, cut at an oblique angle through the East Valley of the large Midget on the Mandelbrot main stem. The tiny hole at the center is broken into two parts. In the Mandelbrot plane, the hole appears as a quadratic midget, with part of a second midget nearby, exactly as is the case with the hole at the center of today's scene.. In this area of the parent mandeloid fractal, the negative spike is infinitely divided, though much enlargement is necessary before this division becomes visible. Today's scene lies at the edge of the nest of spikes. I did not give the image a rating but I did give it a name. I named it "Momentary Diversion" because I found it almost in a moment. There was no surprise involved. I knew from the begin- ning that I would find this scene. The render time of just over 5 minutes may be dispensed with by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the full image there. Things started slow but soon got busy here at New Fractal Central on Monday. With lots of sun and a temperature of 68F 20C, the weather was near perfect, but the fractal cats, who got too little attention to fill their needs, were too sulky to notice it. For me things were again hectic. I just managed to finish the FOTD. The next in the unending series of FOTD's is scheduled to appear in 24 hours or so. It might be a brief one, but I am reasonably sure that when the time comes it will be there. Until then, take care, and walk with the birds. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= MomentaryDiversion { ; time=0:05:00.17--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 passes=1 center-mag=0/0/1.086732e+009/0.1086/85.99025357631\ 41884/-82.3355502698509554 params=85/75/7/29/-1.74\ 94980382806/4.62062404e-006/-1.7494980382806/4.620\ 62404e-006/2.000001/0 float=y maxiter=1800 inside=0 logmap=188 periodicity=10 colors=000QCTSEXVG`XHd_JhaLlcMpdPoeSofVngYnh`micmj\ fmkjllnlmrknvknykjpcfbWbUPZLHVC9S82V39X4FMQMCaT2h_\ 7dZBaZFZZKVZOSZSPZXLY`IYdFYiBYm8Yq5Yp4Wo4Un4Tn4Rm4\ Pl4Ok4Mk4Kj4Ji4Hh4Fh4Ek6Km7Qo9WqA`sCfuDlwEqtCrrBro\ Arm9rk8rhAofCldDibFf`HcZI`XKYVMVTNSRPPPQNRRQSSSTTU\ UTWVUYWV_XVaYWcZXf_Xh`YjaZlbZnc_pd`re`td_rdZpcZncY\ lbYjbXhaWfaWd`Vb`VabS_dQZfOYhLXjJWkHViNSgSQeYNcbLb\ `Ka_KaYK`XK`VK_UK_SKZRKYQJYOJXNJXLJWKJWIJVHJVGJRHI\ NIHKJHGKGDLG9MF6MF8RKAVOCZTEcXGgaIkeKpjMtnOxrMwkKw\ dIwYGwREwKCwDBw7GsDKoJOlPThVXd``afYbgVbgTbhQbhObhM\ aiJ`kG`lD_mAZn7Yo5Yp6Xq6Wq6Wq7Vq7Vq7Uq7Uq8Tq8Tq8Sq\ 8SqAUnBWlCYjDZgF`eGbcHc`IeZKgXLhUMjSNlQPmNQoLRqJSr\ HVsJXtLZuN`vPZwRYxTWyUVzWUzYSzZzz`zzbzzczzezzfzzbz\ zZzzVzzSzzOzzKzzGzzDzz9zz5zz2zz3zz3zz3zz3zz4zz4zz4\ zz4zz4zz4zz4zz4zz4zz4zz4zzFzzPzzZzzhzzrzzgzzXzzMzz\ PzzSzzVzzYzz`zzDzzHzzLzzP } 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=========================================

1 0

FOTD 25-09-06 (Nobody's Perfect [Not Rated])
by Jim Muth 25 Sep '06

25 Sep '06

FOTD -- September 25, 2006 (Not Rated) Fractal visionaries and enthusiasts: Today's image is titled "Nobody's Perfect". The body I am referring to is myself. I recently wrote that the strange rectangle appears only in the Julia sets of the Z^(2.003)+C Julibrot. But today, just to be double sure, I carefully checked the Mandelbrot aspect of the area. Nobody could have been more surprised than me when I found the near-perfect rectangles scattered everywhere. To make things even worse, there are Mandelbrot midgets in the area, surrounded by empty rectangles. All this goes to show that, just because I have been writing the FOTD for over 9 years, makes me no expert in the field of fractals, which remain unpredictable. I doubt that anyone including Mandelbrot himself could claim to know any more than a tiny part of all there is to know about fractals. Today's image shows a most curious feature, which almost looks like a living figure. It has round holes and rectangles every- where. The quadratic midgets within it are not that difficult to find, but I will show none until the month ends. After all, this is supposed to be a month without a midget. The render time of 7-1/2 minutes may be ignored by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the GIF image of the scene there. Sometimes it was cloudy here at New Fractal Central on Sunday, and sometimes it was almost clear. There were even a few drops of rain in the morning. But the temperature reached a pleasant 75F 24C, and the fractal cats totally ignored it. A friendly cat tussle got a bit out of control at one point, but the duo quickly made up. My day was good enough. With any luck, tomorrow will be the same. But I think that a rather sizable job might come in by afternoon. If all goes well, the FOTD will appear before the job arrives. Until next time, take care, and be of good cheer even if your team lost the big game. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Nobody's_Perfect { ; time=0:07:32.86--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 center-mag=-0.00000032538104575/-0.000000103263196\ 45/2.43078e+008/1/-52.5/-1.14117049143658278e-013 params=0/0/0/0/-1.7435/0/0/0/2.003/0 float=y maxiter=4500 inside=0 periodicity=10 colors=000OZkLYmJXoGWqEVsBUu9Tw7Tx9SwBRvCQvEQuFPtH\ OtIOsKNrLMrNLqOLpQKpRJoTJnUInWHmXHmWFkWEiWDgWCeWBc\ WAaW9_V8YV7WV6UV5SV4QV3OV2NW1MX1MX1MY1LY1LZ1LZ1L_0\ K`0K`0Ka0Ja0Jb0Jb0J`4M_7PYBSXEVWIYUL`TPbSSeQWhPZkO\ bnMeqLitKlvJjtJhrIfqIdoIbmH`lHZjGXhGWgGUeFScFQbEO`\ EMZEKYDIWDGUDFTFJVHMXIPZKS`LVaNYcO`eQdgRgiTjjUmlWp\ nXspZvr_ys`xtawtbwtbvucuuduudtuesvfsvfrvgqvhqwipwi\ owjowknxkmxlmxmlxmkynkyojyojyjdwf_vaUuYPtTKrPEqK9p\ G4oJ5lL6jN7gP8eS9bUA`WAYYBW`CTbDRdEOfFMiGJkGHmHEoI\ CrJ9tK7vL4xM2zM0tN1oO2iO3dP4ZP5UQ6PQ7RO9TNBVMDXLEZ\ KG`JIbIKdHLfFNhEPjDRlCSnBUpAWr9Yt8ZoDXkIWgNVcSUZXS\ VaRRfQNkPJpOLlKNhGPeDRa9SZ6U_6Wa7Yb7_c7ae7cf7eh7gi\ 7ij7_d8QZ8GT86N89SCCWFF_JHdMKhQNlTPpWNoULnTJmSIlRG\ kQEkPCjNBiM9hL7gK5fJ4fI7eHAdHCcHFcHIbHKaHN`HQ`HS_H\ VZHXZHU_FS_DP_CN`AK`9I`7Fa5Da4Aa28a19c4Ad6Be8CfADh\ DEiFFjHGkJHmMYacV`eT_gQZi } 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=========================================

2 1

FOTD 24-09-06 (Forever Rectangular [Not Rated])
by Jim Muth 24 Sep '06

24 Sep '06

FOTD -- September 24, 2006 (Not Rated) Fractal visionaries and enthusiasts: There are six mutually perpendicular planes through every point of the four-dimensional Z^(2.003)+C Julibrot. The strange rectangle that has appeared in the recent FOTD's apparently exists only in the Julia plane, but I wondered how the rectan- gle, or the area in which it lies, would appears in the other five planes. Today's image is a slice through the vicinity of the rectangle in a direction rotated 10 degrees from the Oblate orientation toward the Rectangular orientation. Surprisingly, the rectangle still appears quite clearly at the center of the image. The rectangle is obvious, but its surroundings have undergone a dramatic change. Instead of the converging tree-like features, we have near total chaos -- an image that cannot be described and must be seen to be appreciated. I named today's image "Forever Rectangle". It appears that the rectangle will remain visible regardless of the direction from which it is viewed. I gave the picture no rating. If I had rated it, a score of 6 would have been appropriate. The render time of under 11 minutes is slightly slow. But when the image is viewed on the FOTD web site, rendering is not an issue. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Early morning rain gave way to a partly cloudy and warm after- noon, with a high temperature of 77F 25C. The fractal cats paid no notice. They were too busy chasing each other all around the place. They did not settle down until treat time arrived in the evening. My day was average; tomorrow looks to be a repeat. The next FOTD will appear in 24 hours, when I'll see what other havoc I can wreak on that Z^2.003 rectangle. Until then, take care, and be of sound mind and body, but don't be too strong on the sound. You would not want to disturb the neighborhood. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= ForeverRectangular { ; time=0:10:51.64--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 passes=1 center-mag=-0.00016211607850631/+0.000876409345622\ 04/1359.729/0.01759/-90/79.5200240071283986 params=10/90/0/90/-1.7435/0/0.00019/0.07388/2.003/\ 0 float=y maxiter=15000 inside=0 periodicity=10 colors=000O8tP1yM1vJ1sG1pD1mA1j71g41d11b83_E4XL5VR\ 6SY7Pc8Nj9KpAIlDGiFFfIEbKD_NCXPBTSAQU9NW7JZ6G`5Dc4\ 9e36h23j10l03j15h17g1Ae1Cd1Eb1G`1J_2LY2NX2PV2ST2US\ 2WQ2YP2ZS4ZV6_Y7_`9`cB`fCaiEalGboHbrJcuLcwMZpJVjHQ\ cFMYDISADL89F65948B8BCBDDEGFIIGLLHONISQKVSLYVMaXNd\ _PgaQkdRnfSqkUrpWstYts_rsaprcnrdlqfjqhhpjfpkdomboo\ `nqZnrXknUhjSfgQccO``MZXKWTHTQFRMDOJBLF9JC7HE9GGBF\ ICEJECLFBNHAOI9QK8SM6UN5VP4XQ3ZS2_T7aXBb_GdcKefPgj\ ThmYjqaktbjrbiqbhpbgnbfmbelbdkcdicchcbgcafc`dc_ccZ\ bcZaZH`U0`_EWeSRkeMpsIlqKioMfnNclP`jQYiSVgTSeVPdWM\ bYJaZOcVTdSYeObfLggIlhEqiBuj8tg7se6rc5ra4q_3pY2oW1\ oU0nT3mT5mT7lT9lSBkSDkSFjSHjRJiRLiRNhRPhRRlMSoHTpR\ GpAOrCUsDZtEduFivGowHtxIyuJyrKyoLylMyiNygOyfLteIpd\ FlcChc2cc9dcFecLfHjkNTe76oSC`gNGiKJkHMmFPoCSqAVk9U\ e8U`8UV7UP6TK6TE5T30P95TEAWJFZPKaUPd_VjZUgZTdYSaYR\ ZALnMOeDpMFhSHaYJUcKNhMFn } 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=========================================

1 0

Re: Fractint Digest, Vol 43, Issue 12
by jackoftradez＠comcast.net 24 Sep '06

24 Sep '06

I am making an animation from these: 6CARPT92 { ; ; t= 0:04:00.90 on a P4 2Gh at ; 1600x1200 Image Copyright 2006 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=1960 type=formula formulafile=fractint.frm formulaname=multi20031 function=flip/ident/ident/flip passes=1 center-mag=-0.00329066420895892/-0.00013311712830545/\ 277.0445/1/25.0000000000000426/-5.05012698326368081e-\ 014 params=92/92/0.00022/0.0755/-1.74308/0 float=y maxiter=1800 bailout=25 inside=253 logmap=yes symmetry=none periodicity=10 colors=0000Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\ 3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>\ 8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW\ `BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_\ <3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2\ >I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8x\ u7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5\ _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq\ 0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>\ F9LAAG7FO4KW } frm:multi20031 {; Jim Muth, best=ifif, fiif, fifi, iffi a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p2, c=cos(b)*fn3(real(pixel))+cos(a)*fn4(imag(pixel))+p3: z=z2.003+c, |z| <= 100 } It's looking awesome - like a comet turning into a flying carpet. Now exactly who gets the credit? Muth? Lane? Skinner? ALL?? JoTz

2 1

FOTD 23-09-06 (Sandstorm Pyramid [Not Rated])
by Jim Muth 23 Sep '06

23 Sep '06

FOTD -- September 23, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's scene is a zoom into the 'bof61' chaos that fills the distorted rectangle in yesterday's image. I was curious to see whether the chaos is as complete as it appears. Surprisingly, I found that some order is hidden in the apparent depths of the chaos. True, most of the chaos inside the rectangle simply goes on forever with no signs of order, but mixed in with the total chaos are tiny areas of order, such as those that prevent today's image from being just another screen full of sandy debris. The pyramid on the left side of the frame is mostly obscured by the chaotic haze, but enough of its triangular shape shows through to make the image worth being declared FOTD for Septem- ber 23. The string of sparkling yellow-orange things curving up the right side adds to the interest. Most of the other apparent order in the chaos is an artifact of limited resolution. To add some width to the pyramid and to straighten it, I stretched the image by a factor of 13.7 in the horizontal direction and skewed it slightly to the right. The resulting shape reminds me of the bent pyramid in Egypt, as it might appear in a sandstorm. (The pyramid had to be bent to prevent it from collapsing.) I named the image accordingly. Since the scene lies inside the workhorse Z^(2.003)+C rectangle, and this is about the 20th FOTD trip to the rectangle, I did not give the picture a rating. If I had rated it, a rating of about 7 would have been appropriate. With a render time of 34 minutes, the image is a rather slow one. But those pangs of impatience may be eliminated by going to the FOTD web site and viewing the finished image there. The web site may be found at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Some sun, some clouds and warmer temperatures in the low 70's, around 22C, made conditions quite pleasant here at New Fractal Central on Friday. The fractal cats paid little attention to the weather however. They found enough excitement indoors to keep them fully occupied. My day was busier than yesterday but still slower than usual. All this means that the next FOTD will appear on schedule in 24 hours. Until then, take care, and what additional surprises could lurk in an innocent rectangle. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Sandstorm_Pyramid { ; time=0:34:01.75--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 passes=1 center-mag=+0.00363659192954869/+0.001741560509220\ 49/22401.94/13.698/87.5/0.446164143791587364 params=90/0/89/0/-1.7435/0/0.00019/0.07388/2.0031/\ 0 float=y maxiter=1500 inside=bof61 periodicity=0 colors=0000K70L80M90NA0OB0OC0PD0QE0RF0SG0SH0aQ0kZ0\ cP0WG0wz0RJ0PL0NM0KO0IP0GR0ES0BU09V07X05Y08_2B`5Da\ 8GcAJdXefXfhXgi`daRcgLZdPSXAP_4KX0FV0AS05Q04P03O03\ N00BNTc0LU0LU0LT0WF0VF0VE0VE0VE0VE0VE0VD0VD0VD0VD0\ UC0UC0UC0UC0UC0UB0UB0UB0UBzh00aR0YM0OG0QB0M60J00G0\ 0D00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E\ 00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00E00\ E00E00E00E00E00E00E00E10E10E10E20E20E20E20F30F30F3\ 0G40G40G40H40H50H50I50I50I60J60J60J70J70J70J70J80J\ 80J80J90J90J90J90JA0JA0JA0JB0JB0JB0JB0KC0KC0KC0KC0\ KD0KD0KD0KE0KE0KE0KE0KF0KF0KF0KG0KG0KG0KG0KH0KH0KH\ 0KI0KI0KI0KI0KJ0KJ0KJ0KJ0KK0KK0KK0KL0KL0KL0KL0KL0K\ M0KM0KN0KN0KN0KN0KO0KO0KO0KP0KP0KP0KP0KQ0KQ0KQ0KQ0\ KR0KR0KR0KS0KS0KS0KS0KT0KT0KT0KU0KU0KU0KU0KV0KV0KV\ 0KW0KW0KW0KW0KX0KX0KX0JY0KX0KX0KX0KX0KW0KW0KW0KW0K\ W0KV0KV0KV0KV0KV0LU0LU0LU } 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=========================================

1 0

Parm file to calculate near-rectangular shape w embedded fractal tree
by Hal Lane 23 Sep '06

23 Sep '06

############################################################## Below is the parm file for calculating the near-rectangular shape that has the embedded fractal tree I referred to in my Sept 19, '06 post. It is a zoom into Jim Muth's Oct 7, '03 FotD (Original date Jan 6th, 1998, often erroneously given as Jan 1st, 1998.) Here is a description of the fractal from my Sept 19, '06 post: >In addition to the object's clearly being a gently-curving >rectangle of a single color, it has another really astounding >feature. It has an embedded fractal pattern, like a pattern >on a rug. The pattern is of a fractal tree composed of >narrow triangles branching at right angles to one another. > > >A version of this tree-like shape is included in Mandelbrot's >"The Fractal Geometry of Nature." I'm not able to locate my >copy right now as I have just moved also, but if memory serves, >Mandelbrot's version was created by a substitution process >similar to the ones used to create Hilbert curves and Koch >snowflakes. Does anyone else think that it is unusual that a particular fractal formed by a simple substitution process could also be created by a complex formula 'finding' it hidden at a very specific location and rotation in the four-dimensional Julibrot? <---<< You can calculate it at a lower resolution than 1600 x 1200 to keep it from taking 52 minutes -- as it did on my P400. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START PARAMETER-FORMULA FILE================================ Projective_PlaneC { ; Hal Lane Sep22,06 51:31 P400 1.6Kx1.2K ; Zoom into Jim Muth's Oct 7, '03 FotD, ; the 'rectangle'. Shows a tree-like ; branching pattern a la substitution ; fractals like Koch snowflake. ; reset=1960 type=formula formulafile=pastengo.par formulaname=multi20031 function=flip/ident/ident/flip passes=1 center-mag=-0.00020758063848563/-0.00003926828671266/90\ 6.3389 params=88/88/0.00022/0.0755/-1.74308/0 float=y maxiter=1800 bailout=25 inside=253 logmap=yes symmetry=none periodicity=10 sound=off colors=000QVZ<2>PXZPYZP_Z<3>PfZPgZPiZPjZPlZPnZRt_<3>PnZ\ PmZPkZ<3>NaZN_ZNYZMVZMTZ<9>KGZJEZJDZ<2>I9ZI8ZJ6a<14>I8S\ I8RI8Q<2>I8OI8NH9KH9IH9HH9IH9IH9HH9FH9FH9H<6>HACHACHAB<\ 2>HA9HA9JCB<2>OIGQJHRMJ<3>YXP__RabSbdUdgVejW<3>lmbnncoo\ eqnf<3>wshxuixwjyylyzm<3>zxjzwizvhzug<3>zshzshyrg<4>uod\ tocsnb<3>ol_mkZkjY<3>chVagV_gUYfTWfS<3>S`PRZOQXNPYN<3>L\ WKKVJJVIIUHHTGGUG<3>I_IJ`IJ`I<32>ZpQ_qR_qR<3>asSXrT<14>\ mtQntQptQ<2>stPttPvvJvuM<3>oqWmpZmqZ<3>moZnoZopZskZwzZz\ wZzwZ } frm:multi20031 {; Jim Muth, best=ifif, fiif, fifi, iffi a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p2, c=cos(b)*fn3(real(pixel))+cos(a)*fn4(imag(pixel))+p3: z=z^2.003+c, |z| <= 100 } END PARAMETER-FORMULA FILE=============================== ######################################################### -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.405 / Virus Database: 268.12.7/454 - Release Date: 9/21/06

1 0

Re: Fractint Digest, Vol 43, Issue 9
by Vortex Swirling 22 Sep '06

22 Sep '06

>Someone named Vortex Swirling (what is this guy a freakin' tornado >or something?) Think of me as a fractal spiral. A wisp in the wind. No... less.

2 1

Re: Fractint Digest, Vol 43, Issue 11
by Vortex Swirling 22 Sep '06

22 Sep '06

At 10:27 AM 9/21/2006, you wrote: >When you say "page" I assume you mean a webpage on the hosting site for >Jim Muth's FOTDs ?? If so, try the following URL: > > http://home.att.net/~Fractals_1/FotD_98-04-01.html > > >Later, >P.N.L. Thanks, Paul. I was on that page before but the entry for the 1st wasn't there. Hm... I noticed a lot of entries are missing. For instance there are none for Feb 98, but in the collections they exist. If you are providing these on an as needed basis, do not consider this a request. Observation only. Roger

2 1

FOTD 22-09-06 (Virtually Virtual [Not Rated])
by Jim Muth 22 Sep '06

22 Sep '06

FOTD -- September 22, 2006 (Not Rated) Fractal visionaries and enthusiasts: The day started normally enough on Thursday here at F.C. When I checked my e-mail, I found that I had won three lotteries that I did not buy tickets for, and I also needed to verify my identi- ty for three internet banking accounts that I do not have. One would doubt that anyone would actually fall for these scams, but from the way they keep proliferating, it is hard to believe that they totally fail to catch a few suckers. Maybe I should start selling certified authentic Mandelbrot sets. Today's striking image consists almost entirely of 'inside' stuff made visible by the 'bof61' fill. It is another variation of the strange rectangle in one of the Julia sets of the Z^(2.003)+C Mandeloid. The orientation is rotated only one degree toward the Elliptic plane, but the result is a very unusual variation. The rectangle is not really there. When the inside is set to the normal flat black, there is no sign of the rectangle. It has become a virtual rectangle. But the rectangle was virtual from the start, so now it has become virtually virtual, which is what I named it. The 'bof61' inside fill is not the only one that works with today's image. The 'fmod' fill also works quite well, and the 'zmag' fill works reasonably well also. The other inside fills simply color the inside areas a flat color. I did not rate the image, but if I had, it would probably have earned a rating of 8 or 9. The passes=b option not only works fastest with the image, it is by far the most interesting one to watch in action. The render time of 9-1/2 minutes will be irrel- evant if the image is viewed on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Partly cloudy skies and a brisk high temperature of 68F 20C made things reasonably pleasant for the fractal cats, who spent the day indoors, unconcerned with the outside conditions. The light work load made my day pleasant also. The next FOTD will appear in 24 hours. Until then, take care, and if someone offends a fractal, expect no violent protest. Fractals are very peaceful. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Virtually_Virtual { ; time=0:09:24.40--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 passes=b center-mag=-0.00368788/0/42.12754 params=90/0/89/0\ /-1.7435/0/0.00019/0.07388/2.0031/0 float=y maxiter=1500 inside=bof61 periodicity=0 colors=000wwwzzzzzzzzzpvxfnsjdrP_kHTf8Lc1FZ09X08V4\ 7U88S00CE7PH5PL4OP4NV4N00Bf4Mk5Nf5Nc6N`6O60BU7NR7N\ M7MK7OJ9O3A`FBPDCPBBR7BR5CR1C`0CS0CS0BV0BX0BY0Ae0A\ b0Ac0Af09h09i08m09n18p18x17u28w26r37z38x27r27u27s1\ 7n27p28p18k17m18k17i17h18h07b07e08cM8b07`07`77R55S\ 74OU2V91GB0DD0AG08J05`0MP01R02M12S23U54g5GV85V95SA\ 5XC5YE5hM5ZH7`J7YK6bN7bO7hS8cS8eV9bW8fY9fZ9kXAhbAi\ cAidCkfCkgCmaDiiDikDimFinFipFpeFisHiuHhwIhxIizJvbH\ frKemLeiNdfNcbOicQcZRcXTcWUcWWbXYg__ZXYYYYYYYZYZ`_\ bkZc`_e`ah_`i_`mZanY`rWasVbwUbxUbzGae7hP0iB0n00c44\ VAAMFo`ILDPT6Ya0ej0mf2heccbG_`OYYXXXXWZeUZnRYxOYzN\ YzOZsQYmRYeTWZTUUUVUVVOUXJWXDXY8ZY3`xpzunzrlxpkumi\ rjgnigkedhccebbbZZZXXXUUURRROOOOOOMMMJLJGLHFJGCIDA\ IA8H85G54G33H42I51J61L71M80M90OA0PB0RC0SD0UE0UG0VG\ 0XI0YJ0ZK0ZL3nZDzm4rZ0eL0`N0YO0VQ0SQ0PU1NV2KY3JZ3G\ b5Ec7Df7BhBGkFJmJNnOSrQVs } 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=========================================

1 0

Rough Explorations of rectangle parameters
by Lee H. Skinner 21 Sep '06

21 Sep '06

I zoomed out a bit from Jim Muth's Projective Plane image of Jan. 1, 1998, and did a sequence of 7 images (parameters from 80/80/ to 92/92), with different colors: 6CARPT80 { ; ; t= 0:19:07.43 on a P4 2Gh at ; 1600x1200 Image Copyright 2006 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=1960 type=formula formulafile=fractint.frm formulaname=multi20031 function=flip/ident/ident/flip passes=1 center-mag=-0.00329066420895892/-0.00013311712830545/\ 277.0445/1/25.0000000000000426/-5.05012698326368081e-\ 014 params=80/80/0.00022/0.0755/-1.74308/0 float=y maxiter=1800 bailout=25 inside=253 logmap=yes symmetry=none periodicity=10 colors=0000Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\ 3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>\ 8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW\ `BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_\ <3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2\ >I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8x\ u7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5\ _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq\ 0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>\ F9LAAG7FO4KW } 6CARPT82 { ; ; t= 0:15:05.34 on a P4 2Gh at ; 1600x1200 Image Copyright 2006 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=1960 type=formula formulafile=fractint.frm formulaname=multi20031 function=flip/ident/ident/flip passes=1 center-mag=-0.00329066420895892/-0.00013311712830545/\ 277.0445/1/25.0000000000000426/-5.05012698326368081e-\ 014 params=82/82/0.00022/0.0755/-1.74308/0 float=y maxiter=1800 bailout=25 inside=253 logmap=yes symmetry=none periodicity=10 colors=0000Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\ 3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>\ 8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW\ `BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_\ <3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2\ >I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8x\ u7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5\ _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq\ 0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>\ F9LAAG7FO4KW } 6CARPT84 { ; ; t= 0:13:34.87 on a P4 2Gh at ; 1600x1200 Image Copyright 2006 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=1960 type=formula formulafile=fractint.frm formulaname=multi20031 function=flip/ident/ident/flip passes=1 center-mag=-0.00329066420895892/-0.00013311712830545/\ 277.0445/1/25.0000000000000426/-5.05012698326368081e-\ 014 params=84/84/0.00022/0.0755/-1.74308/0 float=y maxiter=1800 bailout=25 inside=253 logmap=yes symmetry=none periodicity=10 colors=0000Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\ 3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>\ 8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW\ `BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_\ <3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2\ >I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8x\ u7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5\ _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq\ 0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>\ F9LAAG7FO4KW } 6CARPT86 { ; Flying Carpet ; t= 0:06:36.07 on a P4 2Gh at ; 1600x1200 Image Copyright 2006 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=1960 type=formula formulafile=fractint.frm formulaname=multi20031 function=flip/ident/ident/flip passes=1 center-mag=-0.00329066420895892/-0.00013311712830545/\ 277.0445/1/25.0000000000000426/-5.05012698326368081e-\ 014 params=86/86/0.00022/0.0755/-1.74308/0 float=y maxiter=1800 bailout=25 inside=253 logmap=yes symmetry=none periodicity=10 colors=0000Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\ 3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>\ 8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW\ `BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_\ <3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2\ >I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8x\ u7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5\ _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq\ 0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>\ F9LAAG7FO4KW } 6CARPT88 { ; ; t= 0:04:38.97 on a P4 2Gh at ; 1600x1200 Image Copyright 2006 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=1960 type=formula formulafile=fractint.frm formulaname=multi20031 function=flip/ident/ident/flip passes=1 center-mag=-0.00329066420895892/-0.00013311712830545/\ 277.0445/1/25.0000000000000426/-5.05012698326368081e-\ 014 params=88/88/0.00022/0.0755/-1.74308/0 float=y maxiter=1800 bailout=25 inside=253 logmap=yes symmetry=none periodicity=10 colors=0000Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\ 3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>\ 8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW\ `BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_\ <3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2\ >I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8x\ u7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5\ _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq\ 0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>\ F9LAAG7FO4KW } 6CARPT90 { ; ; t= 0:06:21.23 on a P4 2Gh at ; 1600x1200 Image Copyright 2006 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=1960 type=formula formulafile=fractint.frm formulaname=multi20031 function=flip/ident/ident/flip passes=1 center-mag=-0.00329066420895892/-0.00013311712830545/\ 277.0445/1/25.0000000000000426/-5.05012698326368081e-\ 014 params=90/90/0.00022/0.0755/-1.74308/0 float=y maxiter=1800 bailout=25 inside=253 logmap=yes symmetry=none periodicity=10 colors=0000Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\ 3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>\ 8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW\ `BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_\ <3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2\ >I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8x\ u7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5\ _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq\ 0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>\ F9LAAG7FO4KW } 6CARPT92 { ; ; t= 0:04:00.90 on a P4 2Gh at ; 1600x1200 Image Copyright 2006 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=1960 type=formula formulafile=fractint.frm formulaname=multi20031 function=flip/ident/ident/flip passes=1 center-mag=-0.00329066420895892/-0.00013311712830545/\ 277.0445/1/25.0000000000000426/-5.05012698326368081e-\ 014 params=92/92/0.00022/0.0755/-1.74308/0 float=y maxiter=1800 bailout=25 inside=253 logmap=yes symmetry=none periodicity=10 colors=0000Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\ 3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>\ 8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW\ `BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_\ <3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2\ >I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8x\ u7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5\ _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq\ 0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>\ F9LAAG7FO4KW } frm:multi20031 {; Jim Muth, best=ifif, fiif, fifi, iffi a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p2, c=cos(b)*fn3(real(pixel))+cos(a)*fn4(imag(pixel))+p3: z=z2.003+c, |z| <= 100 }

1 0

Re: 4th dimension rotations
by jackoftradez＠comcast.net 21 Sep '06

21 Sep '06

Along with a currently ongoing discussion here, a bunch of PARS were recently posted of this type: 6CARPT80 { ; ; t= 0:19:07.43 on a P4 2Gh at ; 1600x1200 Image Copyright 2006 ; by Lee H. Skinner ver=2004 ; Fractint Version 2004 Patchlevel 4 reset=1960 type=formula formulafile=fractint.frm formulaname=multi20031 function=flip/ident/ident/flip passes=1 center-mag=-0.00329066420895892/-0.00013311712830545/\ 277.0445/1/25.0000000000000426/-5.05012698326368081e-\ 014 params=80/80/0.00022/0.0755/-1.74308/0 float=y maxiter=1800 bailout=25 inside=253 logmap=yes symmetry=none periodicity=10 colors=0000Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<\ 3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>\ 8JP8FL8CI<4>XCAaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW\ `BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_\ <3>zb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2\ >I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8x\ u7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE6tD6<10>w8Px8Rx7S<3>z5\ _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq\ 0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>\ F9LAAG7FO4KW } with variations of the 80/80 parameters. The problem is this: formulaname=multi20031 It isn't there (or maybe I just missed it), and I need it to checkout these images. Can someone post (repost) it please? Thanx JoTz

4 3

FOTD 21-09-06 (Starring a Rectangle [NO])
by Jim Muth 21 Sep '06

21 Sep '06

FOTD -- September 21, 2006 (Not Rated) Fractal visionaries and enthusiasts: Since September is a month with no minibrots, I have decided to spend a few days manipulating the mysterious rectangle in the Z^(2.003)+C Julia set. To see the rectangle in its pure form, bring up the julzpower formula, set the value of C to -1.7435,0 and the exponent of Z to 2.003. Then go to the F6 screen and set the center point to 0.00019,0.07388, set the magnitude to 125 and strike the 'enter' key twice. A few minutes later a most unusual fractal will fill the screen. This empty rectangle and its incredible variations will be the subject of the next few FOTD's. Don't be deceived by the emptiness inside the rectangle. The empty area is paper thin and lies exactly in the Julia orienta- tion. Even the slightest variation of the imaginary part of C totally destroys the perfect rectangular shape and fills the empty area with detail. In today's image I have added a tiny imaginary part to the exponent of Z rather than to initial C. This tiny change has not only broken up the rectangle and filled it with intricate detail, it has rotated the rectangle. I named today's image "Starring a Rectangle", and why not? The rectangle certainly is the star of the show. I have featured this same fractal object so many times that I could not give today's version a rating, but the image certainly is worth the 2-1/2 minutes required to render the scene from the included parameter file. Rendering can be a nuisance on over-qualified machines. Those with such units may view the rendered and dismembered rectangle on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Mostly cloudy skies, gusty northwest winds, and a temperature of 66F 19C here at New Fractal Central on Wednesday made conditions a bit brisk for the fractal cats -- not that it worried them. They spent the afternoon inside, getting into trouble. The mischief peaked when Cassie tried to climb the living room curtains to catch a fly on the ceiling and ended up on the floor with the drapes on top of her. Oh well, it's a cat's duty to get into trouble. In my department, the work remained on the slow side, which means the fractals were on the fast side. More of the same is expected tomorrow, so I can see no reason the FOTD will not appear on schedule. Until then, take care, and who knows what might come next? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Starring_Rectangle { ; time=0:02:29.46--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 passes=1 center-mag=+0.00020125342561368/-0.000100679231968\ 01/92.98646 params=90/90/90/90/-1.7435/0/0.00019/\ 0.07388/2.003/3e-005 float=y maxiter=1500 inside=0 logmap=51 periodicity=10 colors=0002Qk2Qj2Qi2Qh2Qg2Pf2Oe2Nd2Mc2Lb2Ka2J`2I_2\ HZ2GY2GX2GX2FW2FW2FV2EV2EU2DU2DT2DT2CS1CS1BR1BR1BQ\ 1AQ1AP1AP1AO1AO1AN1AN1AM1AM1AL1AL1AK1AK1AJ1AJ1AI1A\ I1AH1AH1AG1AG1AF1AF1AE1AE0AD0AD0AC09C09B08B08A08A0\ 79079078068067057056056045045034034033023022012000\ 000000000000000000000000000000000000000000c`Ab_9cZ\ 9cZ9cY9cY9cX9cX9cW8cW8cV8cV8cU8cU8cT8cT7cS7cS7rR7r\ R7rQ7rQ7rP6rP6rO6rO6rN6rN6rM6rM6rL5rL5rK5wK5zJ5zJ5\ zI5zc4zc4zc4zc4zc4zc4zc4zc3zc3zc3zc3zc3zc3zc3zc3zc\ 2zc2zc2zc2zc2zc2zc2zc1zc1zc1zc1zc1zc1z41z30z30z20z\ 20z10z10z00zF4zE3zE3zE3zE3zE3zE3zD3zD3HmzHmzGmzGmz\ GmzGmzGmzFmzFmzFmzFmzFmzEmzEmzEmzEmzEmzDmzDmzDmzDm\ zDmzCmzCzzCzzCzzCzzCzzBzzBzzBzzBzzBzzAzzAzzAzzAzzA\ zz9zz9zz9zz9zz9zz8zz8zz8zz8zz8zz7zz7zz7zz7zz7zz7zz\ 6zz6zz6zz6zz6zz5zz5zz5zz5zz5zz4zz4zz4zz4zz4zz3zz3z\ z3zz3zz3zz3zz2zz2zz2zz2zz } 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=========================================

1 0

I rendered the "Farting Monkey equation" as...
by Hal Lane 20 Sep '06

20 Sep '06

Paul, Re: Your "...somebody else might like playing with [the equation]." I rendered the "Farting Monkey equation:" > f[x,c]=c*x*(x^2 - 2*x + 1)/(x^3 - x^2 - 2*x + 1) > Domain:{x,y}={{-2,3},{-2.5,2.5}} as... FartMonk { ; Roger Bagula via Paul N. Lee z2=z*z zt2=z*2 z3=z2*z c=pixel z=pixel: a=c*z*(z2-zt2+1) b=z3-z2-zt2+1 z=a/b |z|<4 } ...and get a humdrum circle with a few minor non-circular areas. Have I missed something? Anyone have any ideas? <---<< >-----Original Message----- >Date: Mon, 18 Sep 2006 12:38:27 -0500 >From: "Paul N. Lee" <Paul.N.Lee(a)Worldnet.att.net> >Subject: [Fractint] [Fwd: I get a strange nearly linear cut off] >On Mon, 18 Sep 2006 at 10:13:40, Roger Bagula wrote: >> I call it the "Farting Monkey equation" after >> a birthday greeting card: >> >> f[x,c]=c*x*(x^2 - 2*x + 1)/(x^3 - x^2 - 2*x + 1) >> Doman:{x,y}={{-2,3},{-2.5,2.5}} >> >> http://www.bullseyesgames.com/cards/birthday/birthday_card_1.shtml - Hal Lane ######################### # hallane(a)earthlink.net # ######################### -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.405 / Virus Database: 268.12.5/450 - Release Date: 9/18/06

2 1

Empty Rectangle
by Vortex Swirling 20 Sep '06

20 Sep '06

Empty_Rectangle { ; Fractal of the day, 01-04-98 ; 12min on a 486-100, 640x480 reset=1821 type=julzpower passes=t center-mag=+0.00019\ 925630486376/+0.07428965755353106/98.87676 params=-1.7434/0/2.003/0 float=y maxiter=800 bailout=25 inside=0 logmap=53 symmetry=none periodicity=10 colors=000N24K34N54N74N94NA4<2>JG5IJ5GK5<3>9S58U56V54W\ 52W5AV9HVDOUH<3>vSXzS_yS`wSasSb<2>kSdhSegSf<10>SSn<7>Y\ ZcY_bZa`Za_<3>bgVciUdiS<3>llNnlMpmLqmJrmI<2>unEvoDwpBx\ qAyr9zr8<47>zu5zz6<12>lzHkzIkzI<2>wz6<22>RzI<19>czacza\ dz`<17>ozW<17>HzT<10>ez4<15>ZzCZz4 } I found this in the archived pars for April 1, 1998. There doesn't seem to be a corresponding page for it, however. Altering the parm 1.7434 even by a little obliterates the rectangle.

2 1

FOTD 20-09-06 (Ghost of a Julia Set [7])
by Jim Muth 20 Sep '06

20 Sep '06

FOTD -- September 20, 2005 (Rating 7) Fractal visionaries and enthusiasts: Today's image, which was created with the julzpower formula of Fractint, takes us very close to the strange rectangle in one of the Julia sets of the Z^2.003+C Mandeloid. It takes us so close in fact, that the ghostly shadow of the rectangle itself appears at the center of the frame, rotated and distorted, and surroun- ded by apparent fractal ice floes. The distortion is caused by the inexact exponent of Z, which is set to 2.00312 rather than 2.003, and also by the value of C, which has an imaginary part of 0.0003 added to the real part of -1.7435. These tiny changes make a major change in the appear- ance of the Julia rectangle, which is rapidly fading from sight, and will soon vanish into the ether. To add to the interest, I calculated the scene with the inside set to 'fmod' and the outside set to 'summ'. The 'fmod' fill gives the inside parts of the image the effect if ice floes floating on a body of water, while the 'summ' merely livens the coloring of the outside parts. I named the image "Ghost of a Julia Set" and rated it at a 7. The render time of over 11 minutes is a bit slow, but the task of rendering may be avoided by viewing the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A shower in the morning led to a pleasant sunny afternoon here at New Fractal Central on Tuesday, with a comfortable tempera- ture of 77F 25C. The fractal cats were more eager to explore a just-opened closet than to enjoy the sun coming in their window. My day was a bit slow, but that was no problem, since it gave me more time to work on the fractal agenda. The next FOTD will appear in 24 hours. Until then, take care, and where is the real truth hiding? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Ghost_of_a_Jul-Set { ; time=0:11:34.37--SF5 on a P200 reset=2004 type=julzpower passes=1 center-mag=-0.00171559/0.0729636/43.51179 params=-1.7435/0.0003/2.00312/0 float=y maxiter=1500 inside=fmod outside=summ periodicity=10 proximity=0.01 colors=000LqFIqDFqADq8Aq57q35q1Bl8HhEMdLS`RYXYbTch\ PjoMomLplLqkLqjLrA0SWKphLseNfaLl`HsZIrYJqgLsfLteLu\ gHxdLuaOsZSqWVnTZlQajXegchegmeekccgaac___ZYWXWSVUO\ USKSQFTOHRMJQKKPIMOGONEPMCRLATK8UJ7WI5YH2_F4`G6aG8\ bHAcHCcIEcIHcJKcJNcKQcKScLUcLVcMWcMXcNYcNccQhcSocV\ tdXze_zfZzgZzhZzhZzhZzhZzfZzdZwbZt`ZqZZnYXkXZhW_eV\ abUb_UcXUeUUfRUlOUiMUgPUeSUcWUaYU_`UXbUVeUTgURjUPp\ UPnUOlUNkUMiULgZKfeJdkIcqHdnIdlJNgbOjaPmaQnaQoaQpa\ Ol_NhZLdXKaWIYUHUTGQSENQDJPBFNABM98LFCOKGRPJUUNX_R\ _dUbiYerbin`hjZgfXgbVfZTfVReRPeNNdJLdFJcEJ`DIbCHcB\ GdAFeAFf9Eg8Dh7Ci7Cj6Bk5Al49m12p49n6Fl9LkBSiEYhGcf\ JjeLpcKzfNvbQrZSnVVkRYgN_cJb_Fa_A`_5dXCgVIjSOmQUpN\ _yEgsLemRchXabb_XhYNsYSnXXiX`eWe`WjWVsVPnSVjQ`diKd\ gLdeMdbNcmzdYPdWQhYEfWKdUQbSW`QaZOgXMmXNsVLrUKqSJp\ RIpPHoOFnMEmLDmKClIBkH9jF8jE7iC6hB5gA4gB8fCBfDEeEH\ eFKeGNdHQdITdJWcKZcLabMdb } END PARAMETER FILE=========================================

1 0

Jim Muth's "...most surprising discovery of all [his] fractal explorations."
by Hal Lane 19 Sep '06

19 Sep '06

############################################################## In Jim Muth's FotD for September 19th, 2006, named "Rectangle variation" he says: >One day quite a few years ago, I stumbled upon this rectangle, >which still remains the most surprising discovery of all my >fractal explorations. The rectangle is impressive even in its >pure form... I agree with Jim. This is a really extraordinary pattern to find -- even in the often strange fractal world. This fractal really struck me when I first saw it in 1998 and I have remembered it ever since. I was very pleased to be reminded of it again by Jim and to be able to recalculate it at much higher resolution on my more recent computer, as well as zoom into the rectangle's pattern. In addition to the object's clearly being a gently-curving rectangle of a single color, it has another really astounding feature. It has an embedded fractal pattern, like a pattern on a rug. The pattern is of a fractal tree composed of narrow triangles branching at right angles to one another. A version of this tree-like shape is included in Mandelbrot's "The Fractal Geometry of Nature." I'm not able to locate my copy right now as I have just moved also, but if memory serves, Mandelbrot's version was created by a substitution process similar to the ones used to create Hilbert curves and Koch snowflakes. I remember being struck at the time by the fact that a particular fractal formed by a simple substitution process could also be created by a complex formula's 'finding' it hidden at a very specific location in the four-dimensional Julibrot. This tree-like shape appears to be one of the 'self avoiding' branching fractal patterns that, no matter how often limbs branch off, always seem to 'know' where other branches are and carefully avoid them. Perhaps someone who has a copy of the book near at hand can locate the image and confirm the reference and give the page number for me. The rectangle in this image also seems to be suspended in space by a delicate 'railroad switching yard' pattern prominent in Jim's September 17th, 2006 FotD. Zooming into the rectangle reveals that each of the narrow triangles that form the tree-like pattern is covered with the 'switching yard' pattern. At the resolution of Jim's original rectangle image this 'railroad track' pattern on the narrow triangles only appears as a dusting of a few random pixels. If you remove both of Jim's two degree rotations by changing params=88/88/ to params=90/90/ the rectangle loses its slight curve and becomes very rectangle-like. However, the rectangle's tree-like pattern disappears and zooming cannot locate it. If you increment both of Jim's two degree rotations by by two more degrees by changing params=88/88/ to params=86/86/ the rectangle becomes a comet complete with tail. The rectangle's/comet's tree-like pattern remains in this version. Below my signature is Jim's October 7th, 2003 FOTD, which is a repeat of the January 1st, 1998 "Classic F.O.T.D." - Hal Lane ######################### # hallane(a)earthlink.net # ######################### -------------------------------------------------------------- Date: Tue, 07 Oct 2003 08:18:17 -0400 From: Jim Muth <jamth(a)mindspring.com> Subject: [Fractint] Classic FOTD 01-01-98 (Projective Plane) To: fractint(a)mailman.xmission.com Cc: philofractal(a)lists.fractalus.com Message-ID: <1.5.4.16.20031007081910.0d5759b0(a)pop.mindspring.com> Content-Type: text/plain; charset="us-ascii" Classic F.O.T.D., January 01, 1998 (Projective Plane) Fractal visionaries: The world of higher dimensions is filled with objects which are impossible in our three-space, and can be represented here in only a distorted way. The Klein Bottle is one such object. In three dimensions it appears as a closed figure which intersects itself and joins itself in such a manner that despite having no breaks it has only one side. The inside is also the outside. But this is a distortion of the true object, which can exist only in spaces of four or more dimensions. In four dimensions, the Klein Bottle is constructed by taking a rubber sheet, curling it and connecting one pair of edges so that a tube results, then bending the tube and joining the open ends into a doughnut shaped object. But before joining the edges, and with no cutting, the tube is given a half-twist and turned inside- out, so that without self-intersection, the resulting doughnut- shaped object has only one side. Its inside is also its outside. The Klein Bottle is difficult enough to visualize, but the Projective Plane is even more difficult. In fact it is difficult to even describe. In this case, the sheet of rubber is given a half-twist into a kind of Moebius Strip tube before being curled and given a second twist before the open ends are joined to each other, forming the Projective Plane. In this case, even a distorted model is nearly impossible in three-space. Well, if an accurate model of a Projective Plane is impossible in three dimensions, one could never hope to illustrate the monster on a two-dimensional screen. I named today's fractal "Projective Plane" only because that's what I thought of when I saw the image. Actually, it is a picture of a curious feature that appears at Z=0.00019,0.07388 C=-1.7435,0.0 in the Z^2.003 Julibrot figure. This object is extremely thin and exists only very near the Julia orientation, where it appears as a near- perfect rectangle. To create today's image, I gave the object a 2-degree double rotation from the Julia orientation, which distorted the rectangle into the curved shape in the picture. A little playing with the colors produced the effect of a flying sheet of rubber. The flying plane has landed at Paul's web site at: http://home.att.net/~Paul.N.Lee/FotD/FotD.html Tomorrow, I'll have another interesting FOTD. At this time I have no idea what it will be, but something will turn up -- as it always does. Until then, take care, and keep finding those fractal gems. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER-FORMULA FILE================================ Projective_Plane { ; 3-1/2 min on a P200 at SF5 reset=1960 type=formula formulafile=multirot.frm formulaname=multi20031 function=flip/ident/ident\ /flip passes=1 center-mag=-0.00037327503160875/\ +0.00003799627771399/514.8005/1/25 params=88/88/0.00022/0.0755/-1.74308/0 float=y maxiter=1800 bailout=25 inside=253 logmap=yes symmetry=none periodicity=10 colors=000QVZ<2>PXZ\ PYZP_Z<7>PlZPnZRt_<4>PmZPkZOhZ<6>MTZMRZMQZ<12>I9\ ZI8ZJ6a<19>I8OI8NH9KH9IH9HH9IH9IH9HH9FH9FH9H<11>\ HA9HA9JCB<2>OIGQJHRMJ<7>dgVejWgkY<3>nncooeqnf<3>\ wshxuixwjyylyzm<4>zwizvhzugzugztgzthzshzsh<10>pl\ `ol_mkZ<7>YfTWfSVdR<3>RZOQXNPYN<6>IUHHTGGUG<3>I_\ IJ`IJ`I<38>asSXrT<19>stPttPvvJvuM<3>oqWmpZmqZ<3>\ moZnoZopZskZwzZzwZzwZ } frm:multi20031 {; Jim Muth, best=ifif, fiif, fifi, iffi a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p2, c=cos(b)*fn3(real(pixel))+cos(a)*fn4(imag(pixel))+p3: z=z^2.003+c, |z| <= 100 } END PARAMETER-FORMULA FILE================================== ############################################################## -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.405 / Virus Database: 268.12.5/450 - Release Date: 9/18/06

2 2

Correction to the date used for Jim Muth's (Projective Plane) fractal
by Hal Lane 19 Sep '06

19 Sep '06

Jim Muth in a 7th of Oct. 2003 correction says, "The 'Projective Plane' fractal appeared on Jan. 6, 1998." (not Jan. 1, 1998 as I quoted from the "[Fractint] Classic FOTD 01-01-98 (Projective Plane)" post also from 7th of Oct. 2003.) If I had read down a little further in the list of postings I would have found this exchange: On 7 Oct 03, at 15:29, Jim Muth wrote: > At 11:23 AM 10/7/03 -0500, you wrote: > > Paul Lee wrote: > > >> Classic F.O.T.D., January 01, 1998 (Projective Plane) > > > >Actually, The above date and fractal name did not > >originally get used together many years ago on the > >"Fractal-Art" List. > > > >Though I am sure this was an accidental mistake by Jim, I > >would hate to see this List end up like a couple of > >others I know of, where the participants try to alter > >history whenever they wish. ;-} > > Lee is right; history is safe. I made a mistake -- most > likely the first of many. The 'Projective Plane' fractal > appeared on Jan. 6, 1998. The fractal of 01-01-98 was > named "Snub-Nosed Midget", an image that I considered but > did not use. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.405 / Virus Database: 268.12.5/450 - Release Date: 9/18/06

1 0

Re: Fractint Digest, Vol 43, Issue 9
by jackoftradez＠comcast.net 19 Sep '06

19 Sep '06

Someone named Vortex Swirling (what is this guy a freakin' tornado or something?) wrote: ""Question is, you stayed in the spirals long enough to discover this. Fortunately you did. But what led you to do that? "" I think I mentioned in my post that this was a Muth FOTD recenty posted, it looked cool so I did a zoom-in and made the discovery. Damien - Thanx for the explanation / info. I didn't know that! I always thought all the spirals were infinite. You can spend a lifetime exploring this little Z^2+C thing. Stay Amazed JoTz

1 0

FOTD 19-09-06 (Rectangle Variation [6])
by Jim Muth 19 Sep '06

19 Sep '06

FOTD -- September 19, 2006 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a variation of the curious rectangle in a Julia set of East Valley of the large midget on the infinitely-split negative X-axis of the Z^(2.003)+C Mandeloid. One day quite a few years ago, I stumbled upon this rectangle, which still remains the most surprising discovery of all my fractal explorations. The rectangle is impressive even in its pure form, but to add interest I have given it a slight transla- tion and rotation, reducing it to the shapeless yet interesting mass featured in today's image. I named the image "Rectangle variation", which is what it is. I rated it at a 6, which is what I feel it is worth. The render time of 2 minutes on my tired old machine should try the patience of no one. For convenience the finished image is posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> An absolutely perfect day here at New Fractal Central, with full sun and a temperature of 81F 27C, went unappreciated by the fractal cats, who passed the afternoon sleeping and playing. With not too much work to do, I enjoyed the day a bit more than the cats. I hope to enjoy tomorrow as much as today. The next FOTD will appear in 24 hours. Until then, take care, and be careful. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= RectangleVariation { ; time=0:02:06.72--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 passes=1 center-mag=0.00876166/0.00777778/26.82512 params=91.81/90.94/91.93/89.48/-1.7435/3e-005/0.00\ 019/0.07388/2.003/0 float=y maxiter=1000 inside=bof61 logmap=51 periodicity=10 colors=000000000000000000100900H00P00Y04g19p6Ex9Kz\ EPzKUzP_zUez_jzbpzjK_r00x01z01z04z14zH6zU6zg9zx9zz\ CzzCzzzj040zP0zg0zz0xz0rz0mz0ez0_z4Uezzbzzbzz_zz_z\ zYzzYzzUzzUzzSzzSzzSzzPzzPzzMzzMxzKuzKrzHrzHpzEmzE\ mzEjzCgzCez9ez9bz6_z6_z4Yz4Uz4Uzxrzzzzzzzzzzzzzzzz\ zzzzzzzzxzxrzupxujrremp_gpUbmSYjMSjHMgCHe9Ce46b01_\ 00_00Y00U00U00S00P00P00M00K00K00M00P00P00S00U00U00\ Y01Y06_0Eb0Kb1Se4Yg9egEjjKpjMxpHzrEzu9zx6zz1zz0zz0\ zz0zx0eu0Hr00p00m00g00b10Y60SC0MH0HM0CS06Y01b00j00\ p00u00z00z00z00z00z00z00zz00z00z00z00z60zK0zY0zj0z\ x0zu0zr0zr0zp0zm0zm0zj0zg0zg0ze0zb0zb0z_0zY0zY0zU0\ zS1zS4zP6zM9zMCzKEzKEzHCzC9z96z44z14z09z0Cz0Eu0Hp0\ Kj0Pe0S_0UU0YP0_K0bE0g90j40m00p00r00u00r10r90rE0pK\ 1pS9pYHmbPmjUmpbmujjzrjzxjzzgzzgzzgzzgzzjzzmzzpzzr\ zzrzzuzzxzzzxzzrzzpxzmxzguzerz_pzYmzSjzPgzMezHbzE_\ z9Yz6Uzz6zz9zzCzzCzzEzzEz } 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=========================================

1 0

re: FOTD 06_07_31
by Vortex Swirling 18 Sep '06

18 Sep '06

>I have not explored much East ("elephant") valley, thinking it would >be generally lame, as some earlier work suggested a long time ago. >Not true! Among other things, it seems to be the only area of the >MSET where the "infinite" spirals are NOT! They actually eventually >arrive at something, usually a minibrot. And some interesting unique >patterns too. I need to check more into this. This is very cool. I saw both a two way and four way division occur. Question is, you stayed in the spirals long enough to discover this. Fortunately you did. But what led you to do that?

2 1

FOTD 18-09-06 (The Depths of Despair [7])
by Jim Muth 18 Sep '06

18 Sep '06

FOTD -- September 18, 2006 (Rating 7) Fractal visionaries and enthusiasts: I promised that September would be a month without a quadratic Mandelbrot midget. And my promise remains unbroken. Yes, I realize that a hole of sorts must lie at the center of today's image, but it is totally invisible, lying far beyond the range of conventional math, and even if we could reach it, the midget would look nothing like a miniature Mandelbrot set. The scene is located in a twisting and spiraling, cut-off fila- ment of the Z^(1.15)+C Mandeloid as it appears 115 levels up the logarithmic ladder. Midgets are quite difficult to find in Mandeloids of such a low order, and were it not for the 'fmod' inside fill, I would likely have never found the one that lies invisibly at the center of today's image. I named the image "The Depths of Despair". After all, I know of no law that says fractals must always be cheerful. The image is really not all that gloomy however. True, it holds a lot of blue, but the brilliant white highlights add a kind of sparkling vivacity that chases away the blues and brings a ray of hope. The rating of 7 reflects how I feel about the image. The extra effort I put into the coloring raises the otherwise average scene to an above-average one. The render time of 4-3/4 minutes may be eliminated by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the image there. A damp and foggy morning gave way to a brilliantly sunny after- noon here at New Fractal Central on Sunday. The temperature reached 77F 25C, but the fractal cats were more interested in finding mischief than watching the weather. Cassie managed to overturn a waste basket and spread the contents across the floor. And I'm not so sure Nicholas was as innocent as he pretended. My day was pleasantly quiet. Hopefully, more of the same will follow. The next FOTD is near certain to follow in 24 hours. Until then, take care, and be at one with the object of your choice. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TheDepthsOfDespair { ; time=0:04:45.83--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.78107692488533510/-2.839509333090241\ 00/4.341345e+011/1/7.49828937455790534/0.001459075\ 1429640683 params=1.15/0/115/0 float=y maxiter=1200 inside=0 periodicity=10 mathtolerance=0.05/1 colors=00083i82e92`91X91SA0OzzJuatnWngRh`LbUGXNARG\ 5LCozBdpBVfAKYAAO_fFYcFXaFVZFUXFSVFRSFPQFONFNLFLJF\ KGFIEFHBFF9FE7FC4FB2Fjh3he4fc5d`5bZ6`X7ZU7XS8VQ9TN\ 9RLAPIANGBLECJBCH9DF7ED4EB2F5Iw6Ht6Gr6Fp6En7Dl7Dj7\ Ch7Bf8Ad89b89`88Z87X96V95T94R94PA3NA2LA1JaNDdRGfUI\ hYLk`NmcPogSqjUtmWvqZxt`zwbtwcowdiwddwe_wfUwfPwgKw\ hEwh9wi4wi5qeA1F6kb6e_7_X7UU8OR9IO9CLA6IOE2ND3MC4L\ B5LB5KA6J97I87I88H79G69F5AF5BE4BD3CC2DC2DB1EA0F3ot\ 4io5dk6_g6Vc7Q_8KV8FR9ANA5JUDBQACN8DK6DG4ED2FBDjAB\ fAMhRQvA7YA6NA5RA3OA2LA1IE9cD8_D7WC6SC5PC4NB3MB2MA\ 1KA0Hzzzvwhildcg_YVWSNSMFNG7JOB4NA5M96L87K78J78I69\ H5AG4BF3CE3CD2DC1EB0FmzUPzQmzMFFIupYqkWmgVicTf_SbW\ QZSPWONSKMOGKLzJH8HD4GolQieOcZMYSLSLJMzIG7GcFuaEr`\ DpzznzzlWBjVzhUAfzzdR8bP7`O7ZzzXL5VK5TzzRH3PF2NE2L\ C1JB0HoKxfGnZCeQ8XI4OvwWooTihRc`PYUNSMLMFJG7HeuobJ\ iYGdUD`QAWM8SI5NE2J74s83n } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

2 1

FOTD 17-09-06 (Fractal of Tomorrow [8])
by Jim Muth 17 Sep '06

17 Sep '06

FOTD -- September 17, 2006 (Rating 8) Fractal visionaries and enthusiasts: Today's image takes us to the East Valley area of the large midget on the complex negative X-axis of the Z^2.003 Mandeloid. This is the area that looks like a railroad switching yard and holds the curious Julia rectangle that I have featured so many variations of as the FOTD. We examine one of the holes found there. But today's image is not a Julia set, nor is it a Mandelbrot midget. It is an oblique view of a random hole, seen in one of the countless double rotations half way between the Parabolic and Rectangular directions. Double rotation is necessary to turn from one of these orientations to the other, since, like the Julia and Mandelbrot orientations, their planes intersect in only a single point. I named the image "Fractal of Tomorrow". This does not mean it will appear a second time tomorrow; it means I rather consider such images to be ahead of their time. Then again I have heard it claimed that, since I am still using a DOS fractal program, my fractals are behind the times. Regardless, I admire today's image, and have rated it at an 8 accordingly. The render time of just under two minutes on my 10-year-old computer will be cut to under one minute on the latest DOS-able fireballs. But some current fireballs that choke on DOS will take all eternity to finish the calculation. Those with such uptight machines can still view the image by going to the FOTD web site, where it is posted. They will also find this discus- sion posted there in annotated form. The FOTD web site can be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Slowly clearing skies and a temperature of 75F 24C made condi- tions quite pleasant here at New Fractal Central on Saturday. The new fractal cats were not concerned with the weather. They cornered some invisible critter in the kitchen pantry and kept watch over it for most of the afternoon. The thing that was annoying them must have escaped, for they had totally forgotten it by treat time. My day featured back-to-normal conditions, which I hope will continue indefinitely. The next FOTD image will appear in 24 hours. Until then, take care, and try to help a fractal in need. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FractalOf_Tomorrow { ; time=0:01:56.11--SF5 on a P200 ; Fractint Version 2004 Patchlevel 1 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=+0.00000000107316850/-0.000000002948506\ 23/1.033237e+007/0.4572/70/3.88578058618804789e-016 params=45/45/2.003/0/-1.74031254055/0.00286902201/\ -1.74031254055/0.00286902201 float=y maxiter=750 inside=0 logmap=73 periodicity=10 colors=000E02H05K18N3BQ5ET7HW9KZBNaEQdHTgKWkNYoQ`s\ TcwWhxZmyarzevzizAAA49D8BHBDLEFOHGSLIWOKZRMbUNfYPi\ `RmcTqfUtcpr`rqZtpWqoUonRlmPilMkkKnjHpiFrhCtgAvfHt\ gNnhTgi_aj`VkaPlWKiWQg`Ved_bie`ijZwnWzqUzqSzpPzpNl\ pLgpJboNZnRUnVQmZLhbHbfDYjKZhRZfYZdddbki`qn_0uR4pT\ 8kUCfWGaXKXYOS_SN`VJaUIbUIcUHdUHeUHfUGgUGhUGiTFjTF\ kTElTEmTEnTDoTDpTDpYEkaFgfGbjGZoHUsIQwIMpJLiJLcJKX\ KKRKJKKJEKJDIICGICEHBCHBAHHCIMEJSGKXILbKMgMNmOOrPP\ sLUtH_uDev9kw5px9nyDlzHjzLizKgzJezJczIazH_zHYzGWzG\ zzLzzMzzMzzNzzNzzNzzKzzHzzFzzCzzAzz9zz8Pz7Lz6HzA8z\ FDzKPzPNzULzZJzcHzhFzmDzrBzv3zz5zz6zz8zz9zzXzzPzzH\ zzqzzvzzezzQzzEzzDzzDzzCzzCzzBzzBzzAzzJzzHzzGzUEzM\ DzDBzM4zJ5zG6zD7zA8z79zTfzHQzEPzCMzBKzAIz8GzzEzzCz\ zizDSzfbz_YzUTzOOzHJzBEzmqzgkzafzX`zRWzLQzGLzAFzON\ zzKzzHzzFzzCzzozzdzzVzzKzzvzNizHYzBMzb2zY3zU4zQ5zM\ 6zH7zD8z99zDNz9GzmUz_WuWW } frm:multirot-XZ-YW-new {; 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)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

1 0

FOTD 16-09-06 (Circle With Horns [5])
by Jim Muth 16 Sep '06

16 Sep '06

FOTD -- September 16, 2006 (Rating 5) Fractal visionaries and enthusiasts: OK. So today's FOTD is 8 hours late. What of it? If I needed an excuse, I would point to the small but urgent job that came in unexpectedly yesterday morning. The missing FOTD discussion is probably for the best, since I had a long statement about reality planned for the Philofractal list, which would likely have spoiled my already tarnished reputation. (After all, nothing upsets rational-thinkers more than the suggestion that the foundation of their world view, the real physical world of nature, might not be as real as advertised.) As it is, we will have no philosophy today. (It might come later.) We must settle for a brief description of today's image, which is a view in the Oblate direction of a Seahorse Valley. But it is not the familiar valley. To find today's valley we must go to the large midget at -1.75 of the Mandelbrot set and then find that midget's largest sub-midget, which is located around -1.785 of the M-set. Today's image shows a side view of the Seahorse Valley of this sub-midget. The scene was stretched in the vertical direction by a factor of 30 to bring it to its state of viewability. (Actually, this is measured by a compression factor of 0.033 in the horizontal direction.) If the image were not manipulated, we would see nothing more than a series of featureless horizontal stripes. I gave the result a rather surreal name -- "Circle with Horns". That's what I see when I look at it. I rated the image at a 5. It had far too little effort put into it to rate anything higher. Rendering the image will demand very little valuable time. The included parameter file finishes in 27 seconds. The unlucky ones with over-qualified computers can find the image on the fotd web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Things got unexpectedly very busy here at New Fractal Central on Friday, with a job that had to be delivered by the week-end. The fractal cats became sulky when they got too little atten- tion. They didn't concern themselves with the mostly cloudy day and the occasional light showers. Toward sunset a perfect rain- bow formed in the east, which went completely un-noticed by the duo, who were chasing each other madly up and down the long hall- way at the time. In my department, the job was finally finished and delivered. And nothing more is in sight, at least at the moment. It looks like the next FOTD will appear in around 16 hours. Until then, take care, and be glad you are real. (Or are you?) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Circle_With_Horns { ; time=0:00:27.19--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip passes=1 center-mag=0/0/1840.308/0.033 params=0/90\ /2/0/0/0/-1.78575/0 float=y maxiter=50000 inside=0 logmap=23 symmetry=xyaxis periodicity=10 colors=000QmbYnddpflrhscjlahe`gZYfTXdMXcFYe9_aFaXL\ cSMeNKcKD`EEYCERBEM9EG8EB6E65HD6JJ7MQ7OW8Qb9Th9VoA\ XuAYmDZfFZZI_SK_KN`DP`6RfDSkJTpQUuWVzaVteSnhQhkObo\ MXrKRuILxGInVFeiJfbNgXRhRViLZjFaj9blCbmEcoGcpIdrKd\ sMeuOevQ`wVWwZRwcMwgHwkCwp7wt2wx8srDplIlfNi`SeVXbP\ a_JgaLldNqfPpdRobTo`UnZWmXYmVZlU`lSakQcjOejMfiKhiJ\ ijKhjLgkLfkMfkMelNdlNdmOcmObmPbnPanQ`nQ`lRZkSXjTVh\ TTgURfVPdVNcWLbXJ`XH_YFZZDYZBZ_DZ`EZaFZbHZbI_cJ_dK\ _eM_fN_fO`gP`hR`iS`jT`jUbQSQVUDZWPTP_OJ`dV`ufKfLQw\ NCGuSPdgXOwd7wOQw8gp9Zj9Qd9HeGOfMUgT_hZekYamYYoYUq\ YQlWZgUgcTpS`hGg`4nTXR`y3gf2ZO2Q62HK8FXEEjKCwPBS_2\ EP91FGcN9R_BFkD3wE2pO2iX2bf2XoqZXRQtLpDMm_WsKTpXQm\ i__GJsWKpbLniMlpuG8iRPY`eC1_IOkzjGfja0qs6otCmuIkvp\ H0fRKX`cBdiEfmHgpKisSf4QhNOidCFvGQvK`v5nGBlVHkh`s3\ 3tCApSHmgaKNUYdALQT0DRGTPWgrFEbV`JJFLTUMahuP6c_Xex\ 5hDj`PnU_rdcl_eoWgqBiZJk` } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

1 0

FOTD 15-09-06 (A Whatsit Midget [6])
by Jim Muth 15 Sep '06

15 Sep '06

FOTD -- September 15, 2006 (Rating 6) Fractal visionaries and enthusiasts: Today's image shows a most curious fractal hole. But it most certainly is not a Mandelbrot midget. And it certainly is not a Julia set, though it does have some Julia characteristics. Nor is it an Elliptic set, a Rectangular set, a Parabolic set, or an Oblate set. It is actually a set in a slice oriented about half way between the Parabolic and Elliptic directions. As the value of the center point of today's image indicates, the scene is located in the vicinity of the large midget located at -1.75 of the Mandelbrot set. Since we are exploring 4-D space when we examine the Julibrot, it is impossible to describe the exact direction from the -1.75 midget in which today's scene lies. The thin straight yellow line at the edge of the solid inner area is actually one of the Mandelbrot valleys of the large -1.75 midget sliced from the side. It seems counter-intuitive that, from the side, a Mandelbrot valley should appear as a straight line, but the Mandelbrot aspect of the Julibrot is actually shaped like a nest of 4-D hypercylinders, which, like 3-D cylinders, appear straight when sliced parallel to their length. I named today's image "A Whatsit Midget" because I have no idea what else I might name it. The rating of a 6 seems about right for an image that is more a mathematical curiosity than an artistic triumph. The render time of a little over 1/2 minute should make the task of rendering almost enjoyable. And the job of rendering may be eliminated entirely by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds, fog on the hills, occasional rain, and a tempera- ture of only 63F 17C made conditions far less than ideal here at New Fractal Central on Thursday. But the fractal cats, who can look outside but are not permitted to go there, do not concern themselves with mundane things like weather. They spent the day searching for trouble. Luckily, they failed to find much of it. My day was near normal, and it looks as though the next week or so will remain uneventful. One of these days I'm going to give up graphic design work and start earning my living by selling fractals. Oh well, we can dream, can't we? The next FOTD will appear in 24 hours. Until then, take care, and the secrets of the universe may be hidden in these fractals -- if only we had the key to unlock the secret door. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Whatsit_Midget { ; time=0:00:38.56--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-xz-yw-new passes=t center-mag=-0.16772097072767390/-1.749397401235292\ 00/514.2573/1.444/-120.75/33.166619765944354 params=0/49.68/2/0/0/0/0/0.0001 float=y maxiter=5000 inside=0 logmap=5 periodicity=10 colors=00000H00M01S02X03V04U05T06S17K28L39M4AN5BO6\ CP7DQ8ERAFSCGTEHUGIVIJWJKXLMYNOZPR_RU`TXaV_`WbaUdb\ SgbQhbPibNjbLlcKncIocGpcFqcDodBndAnd8md6kd5ic4g`3f\ Y3eV2dS2cP1bO1aO0aM0aE7aFEaJKaNN_RQYSTWQWUOZSM`QKb\ OGaME_KCYHAW38U86S78Q6AO50M40K45I6AG8FEAKCBP0ESCHV\ CKYCN`CQcCTfEUfGUfIVfLWfNXfPYgRYgTZgV_gY`m_bradvcg\ zejzgmzjozloznpzpqzrrzrrzpoznlzojzphzqdzrbzrZzrWzq\ UzpWzoYznbzmgzmfzmizmlzmozmrzmszmuzlsykoxjkwigvhcu\ g_tfWseSrdOqeKpeGoeDnfCmfAlg8kg6kg5kh3lh1lh0lg3mg5\ ng8ngAofDofFpfHqfKqeMrePreRseTtdWtdYud`udbvddvectf\ csgcrgcqhcoicnicmjclkcjkcilchmcgncencdoccpbbpbaqb_\ rbZrbYsbXtbVubUubTvbSwbQwbPxbOybNybMwcNvdOtdPseQrf\ RpfSogTngUlhVkiWjiXhjYgjZfk_dl`clabmb`mc`nd_oeZofY\ pgYphZqe_qb`r`arYasWbsTbtRbtOcuLcuJdvGfvEhwBjw9lx6\ nx4py5ry5ty6vy6xy7zy7zy8zy8zy8zy9zy9zyAzyAzyBzyBzy\ CzyCzyCzyDzyDzyEzzEzEBzDB } frm:multirot-XZ-YW-new {; 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)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

1 0

FOTD 14-09-06 (Fractal Potentia [8])
by Jim Muth 14 Sep '06

14 Sep '06

FOTD -- September 14, 2006 (Rating 8) Fractal visionaries and enthusiasts: Today's image shows a new view of the large midget at -1.75 on the X-axis of the Mandelbrot set. As far as I know, today's image is the first time this midget has been seen in such an unusual apparition. The image shows the midget as it appears when viewed in the Elliptic orientation. But the question of which part of the image is the actual midget immediately arises. Is the midget the well-defined triangular hole at the center, or is it the broad dark band with bright edges partly visible in the background? Actually, the triangu- lar hole at the center is the midget. The background band shows some of the potential perturbed versions of the midget that become visible when imag(z) is varied. These potential per- turbed midgets are what inspired the name "Fractal Potentia". The rating of an 8 would have been a 5 or 6 if I had not stumbled upon the color palette that works so well with the image. The extremely brief render time of only 11 seconds is one of the best fractal bargains of all time. Those who do not do their own rendering but still enjoy fractals may see the -1.75 midget with its array of potential perturbed midgets by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Wednesday started with light rain here at New Fractal Central. The rain ended by 11am, but the clouds persisted for the rest of the day, holding the temperature to 64F 18C. The fractal cats didn't mind the less-than-ideal conditions. They were too busy chasing a ball of aluminum foil all around the first floor. My day was slower, but still a bit busier than I prefer. The next FOTD will appear in 24 hours. Until then, take care, and things may not be as they seem. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Potentia { ; time=0:00:11.48--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip passes=1 center-mag=-1.76526/0/2.684939/5.9269 params=90/0/2/0/0/0/0/0.0001 float=y maxiter=1000 inside=0 logmap=18 symmetry=xaxis periodicity=10 colors=000AAF7LV5Qe8RfASfCTfEUfGUfIVfLWfNXfPYgRYgT\ ZgV_gY`m_bradvcgzejzgmzjozloznpzpqzrrztrzpnznlzojz\ phzqdzrbzrZzrWzqUzpWzoYzn_zmgzmfzmizmlzmozmrzmszmt\ zBj6JdGQ_PXUZcPgcOgcMgdKhdJheHieFieDifCjfAjg8kg6kg\ 5kh3lh1lh0lg3mg5ng8ngAofDofFpfHqfKqeMrePreRseTtdWt\ dYud`udbvddvectfcsgcrgcqhcoicnicmjclkcjkcilchmcgnc\ encdoccpbbpbaqb_rbZrbYsbXtbVubUubTvbSwbQwbPxbOybNy\ bMwcNvdOtdPseQrfRpfSogTngUlhVkiWjiXhjYgjZfk_dl`cla\ bmb`mc_ndZoeXofWpgVphWqeWqbXr`XrYXsWYsTYtRYtOZuLZu\ J_vG_vE_wB`w9`x6`x4ay5by5by6cy6dy7dy7ey8ey8fy8gy9g\ y9hyAhyAiyBjyBjyCkyCkyClyDmyDmyEnzEnzFozFpzGpzGqzG\ qzHrzHszIszItzJtzJuzKvzKvzKwzLwzLxzMyzMyzNzzNzzNhx\ YRwhAvs9sq9pp8mo8kn7hm7el7bj6`i6Yh5Vg5Sf5Qe8RbAS`C\ TZFUXHVVJWTMXQOYOQZMT_KV`IX`GYZKZXO_VS`TVaRZaPbbNf\ cLidJmeHqfFuqiEk_DdPCZFCYEEYDGYCHYBJYAKY9MY9NY8PY7\ QY6SY5TY4VY4WS6PN8JIADDB7 } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

1 0

FOTD 13-09-06 (Side Attraction [6])
by Jim Muth 13 Sep '06

13 Sep '06

FOTD -- September 13, 2006 (Rating 6) Fractal visionaries and enthusiasts: The continuing rush on Tuesday meant anther hurried FOTD image. Today's rather unusual scene is a feature of the Julibrot. It is located some distance to the viewer side of the large midget at -1.75,0 of the Mandelbrot set. It is sliced in he Oblate direction, which is the orientation determined by the real(z) and imag(c) axes of the Julibrot. I named the image "Side Attraction" because it is located to the side of the Mandelbrot set. I rated it at a 6 because it is just interesting enough and colored well enough to deserve that rating. The render time of under 1 minute means that those who rendered the image themselves and are disappointed by it, will not have wasted much computer time. Those who don't render may find the image already rendered on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The cloudy, chilly weather here at New Fractal Central on Tuesday, with a temperature of only 63F 17C, worried the fractal cats not the least. They are showing all signs of being permanent indoor cats, which is the healthiest, but perhaps not the happiest life for a cat to lead. In the evening, they romped and enjoyed their treats of tuna and cheese. For me, the current rush is rapidly coming to a close. The current one went well enought, but I hope these rushes don't come too often. I fear I'm getting too old for this kind of stuff. The next FOTD is quite likely to appear as scheduled in 24 hours. Until that glorious moment, take care, and philoso- phize mightily. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Side_Attraction { ; time=0:00:57.27--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip center-mag=-1.04707416/+0.005111185/225.2066/0.4584 params=0/90/2/0/0/0/-1.7475/0 float=y maxiter=10000 passes=1 inside=0 logmap=yes periodicity=10 colors=000AVKAYFA_AAb5Ad1Aa4A_7AY9AVCATEARHAOJAMMA\ KOAENAFPAERAASACTAETAGTAIUAKUAMUAOVAQVASV9UX8WX7YX\ 6_XBa`FcbJeeNghSikWkm_mqaoscqzeszguziwzkxzmyzhzzcS\ ZZGQU5IP6HK6HF7HJ7HN7GR8GU8GY9Ga9Fe9FiAFmAFt6CpAFl\ EIiIKeMNaQPZUSVYURaXOeZMdaKccIbfGahF`jD_mBZo9Yr7Xt\ 6XvAWtDVrGUqKToNSnQRlTQkXPi_OhbNfhOdeNecNeaMe_MeYM\ eWLeULeSKcSLeSMfSNhSNiSOjSPlSPmSQnSRpSSqSSrSTtSUuU\ WxSUvRStQQrPOqNMoMKmLIlKGjJEhHCfGAeF8cE6aE5JD5`43n\ C5qL7vJ6tI6rG5pF5nE4mC4kB3i93g82e72dOIacYZsmWaqbLu\ hLuhLvhLvgLvgLvfLvfLveLveLveKtdKwcJxbUyaUz`Uz_UzZc\ zYczXcz0czWmzVmzUmzTmzSwzSwzRwzQwzPzzOzzNzzMzzLzzK\ zzJzzIzzHzzGzzFzzEzzEzzDzzCzzBzzAzz9zz8zz7zz6zz5zz\ 4zz3zz2zz1zz0zzgzzfzzezzezzdzzczzczzbzzazzazz`zz_z\ z_zzZzzYzzYzzXzzWzzWzzVzzUzzUzzTzzSzzSzzRzzQzzQzzP\ zzOzzOzzNzzMzzMzzLzzLzzKzzJzzJzzIzzHzzHzzGzzFzzFzz\ EzzDzzDzzCzzBzzczzZzzUzzP } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

1 0

FOTD -- 12-09-06 (Elliptic Elephant [4])
by JimMuth＠aol.com 11 Sep '06

11 Sep '06

FOTD -- September 12, 2006 (Rating 4) Fractal visionaries and enthusiasts: I draw attention to today's fractal, which returns us to East Valley, where we check a Mandelbrot midget that lies deep in the trunk-spiral of an elephant. This elephant itself lies fairly deep in the valley. To be a little different, I have calculated the Elliptic view of this midget. Since it is not a Mandelbrot view, I have not violated my promise to have no Mandelbrot midgets during the month of September. At this orientation, the midget appears as little more than a shapeless hole. But the pattern around it remains intact, fairly shouting to the world that this is a scene in East Valley. I named the image "Elliptic Elephant", though no elephants are visible in the frame. I rated it at a meager 4. After all, haven't I already done this kind of thing numerous times? The 6-minute calculation time may be avoided by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Clouds and cool temperatures here at New Fractal Central on Monday bothered the new fractal cats not at all. They spent the day chasing each other up and down the long hallway and occasion- ally checking the window to see if any squirrels or birds were in sight. By 4pm they were ready for their treats -- tuna for Cassie, cheese for Nico. My day was quite busy, which explains the almost-automatically found fractal. The rush will peak tomorrow, which might or might not produce a FOTD for the 13th. But by Wednesday the job will be delivered and the FOTD for the 14th is almost a sure thing. Until next time, which will be in either 24 or 48 hours, take care, and remain fractally correct. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Elliptic_Elephant { ; time=0:06:15.34--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip center-mag=0/0/8.073738e+009/0.01316/-89.804935684\ 2955717/89.7960595356130682 params=90/0/2/0/0.2525\ 320556995364/0.0002050585540034/0.2525320556995364\ /0.0002050585540034 float=y maxiter=7500 inside=0 logmap=1032 periodicity=10 colors=000KZEJYFJXFIWGIVGHUHGTIGSIFRJFQJEPKDOLDNLC\ MMCMMELPFLRGKTHKWIKYJJ_KJbLIdMIfNIiOHkPHmQGpRGrSGt\ VIoYKj`MebOaeQXhSSkUNmWJpYEs_9u`5sa8qaAobCmbFkbHic\ JgcLecOcdQadS_dVYeXWeZUe`bZQjSFrM4qO8qPBpQEpRHpTLo\ UOoVRoWUnYYnZ`m_cm`fmbjlcmldplesmbtn`toZtpXtqVtrTt\ sQutOuuMuvKuwIuxGuxEup9si5qb1pd2ke3gg3bh4Zj5Uk5Qm6\ Ln7Ho7DfGFYOGQWIHdJ8lL0tM3qN6nN8lNBiNEfNGdNJaOMZOO\ XORUOUROWPOTQQQQRNRSLRTISUFSVCTWATXj2Ah8CgDEeIGdNI\ bSKaXM`aObcRcdTdfVegXgiZhj`ilcjmelogmpinrkosmnrjnq\ gmpdmoamoZlnWlmTklQkkNkkLhhMeeNbbP__QXXRUUTSRUPOVM\ LXJIYGFZDC`A9a86bB7_E7XH7UK7RN7OQ7MT8JW8GZ8Da8Ad87\ g85dC9bGC`KGZNJXRNUVQSYUQaXOe`MhcNedOcdOadPZdQXdQV\ dRSeSQeSOeTLeUJeUHeSGcRGbPG`OG_MFZLFXKFWIFVHFTFESE\ ERCEPBEOAENEqPHoQJmRMlROjSQhSTgTVeTYdU_bUa`Vd_VfYW\ h_WdbZaeaZgdVjgSnjPqmLtpIwsFzvCzxEztGzpIzmKziMzeOz\ bQzZSzWUzSWzOYzL_zH`zE_zV } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

1 0

Re: FOTD 06_07_31
by jackoftradez＠comcast.net 11 Sep '06

11 Sep '06

I have not explored much East ("elephant") valley, thinking it would be generally lame, as some earlier work suggested a long time ago. Not true! Among other things, it seems to be the only area of the MSET where the "infinite" spirals are NOT! They actually eventually arrive at something, usually a minibrot. And some interesting unique patterns too. I need to check more into this. I dispute the rating of 5 for Jim Muth's FOTD 06_07_31 ; I would give it more. The colors could be better however IMHO. I did a zoom-in to the target image, only thing changed is the color and I used logmap=2 (as always). Loox much better. Posted: http://www.fractal-animation.net/vid/evz320.zip 6.0 MEG http://www.fractal-animation.net/vid/evz640.zip 18.5 MEG Stay Amazed JoTz

1 0

FOTD -- September 11, 2006 (Elephant Trickery [6])
by JimMuth＠aol.com 10 Sep '06

10 Sep '06

FOTD -- September 11, 2006 (Rating 6) Fractal visionaries and enthusiasts: A bit of four-dimensional trickery is displayed in today's image, which tries desperately to be a Julia set of East Valley but never quite makes it. If the imaginary p1 parameter had been 90, we would have had a Julia set. As it is, we have a slice rotated a mere 0.2 degree toward the Elliptic direction, but that tiny rotation makes a world of difference. The basic outer shape of an East Valley Julia set is obvious, and the goofy eyes and noses are well represented, but don't search for elephants. None are there. They have been stretched out of existence, with only their infinitely stretched remains being visible as the vertical stripes inside the outer shell. It is curious how a rotation of only 0.2 degree can make such a large difference in the appearance of Julia sets, while such a rotation makes no difference at all in most Mandelbrot images. It would seem to indicate that the Mandelbrot-shaped parts of the Julibrot are in the form of a nest of four-dimensional hyper- cylinders, with the Julia direction lying parallel to the length of the hypercylinders. As to what such a nest of 4-D hyper- cylinders might look like, I have not the slightest idea. I have seen the Fractint evolver feature mentioned recently on the list. Yes, I do use it. It is one of the most useful features of the program. About one image in three is found with the evolver. But I usually round the evolver's parameters to one or two places before calculating the final image, thereby avoiding such awkward things as an angle of 37.7394877345823114 degrees, which I would enter as 37.74 degrees. BTW, today's image was not found with the evolver. If it had been, I might have let the evolver's (p1) parameters, which determine the angle, remain unrounded. The values are quite critical. Today's image deserves its rating of a 6. In fact a rating of 6-1/2 might have been a better choice. It's a relatively inter- esting if not particularly artistic picture. The name "Elephant Trickery" refers to the tricks the image plays with the Julia set of the central point. Changing the imag(p1) parameter to 90 will reveal the true Julia set, which really is a rather interes- ting one. The calculation time of 12 minutes is true on my tired, worn-out old clunker of a computer. But as long as it boots up DOS when I turn it on, that old warhorse will continue to be my fractal machine. More modern computers are far better on the internet, but some of them go into a panic when a DOS program is loaded. Those fractalists with such sensitive machines may download the finished GIF image of today's fractal from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A few more clouds and lower temperatures made Sunday less than perfect here at New Fractal Central, but the fractal cats don't mind the outside weather, since all they are permitted to do is watch it from their window. In my department, I am barely managing to keep the rush under control. So far it's going according to plan. I'll put the odds at 67 percent that the next FOTD will appear on schedule in 24 or so hours. Until that glorious time arrives, take care and check your world view for hidden errors. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Elephant_Trickery { ; time=0:12:05.35--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip passes=1 center-mag=0/0/0.9026217 params=90/89.8/2\ /0/0/0/0.27/0.00593 float=y maxiter=150000 inside=0 symmetry=none periodicity=10 colors=000AMX9NX8OW7PW6QV6RVBSYFS_JSaNScRSeVSgZTib\ UkfXmj_okf_lnKms5on6ph7qb7rY8sV9tS9qSEoQImQMkSQhTU\ fUYdWabXe`YiZXgYWfXWeWVdVVcTUbSTaRT`QS_PSZQR_RR_SR\ _SR`RfZdmarscqtdqtdqtdptepteouemuflufkufiughuggvgy\ vgxvhwvhuvhtwiswiqwipwjjwjhwjbxkaxkVxkUxkMxlIylGyl\ FymDymCymByn9zn8zn7zo5zo4zo3zo5xk7wh9udBtaDrZFqVGo\ SInPKlLMkIOiFQhBSf8Te5kMdUd7Vd8Vc9WcAWcBXbCYbDYaEZ\ aFZaG_`H_`I`_Ja_Ka_LbZMbZNcYOcYPdYReXSeXTfWUfWVgWW\ hVXhVYiUZiU_jU`jTakTblSclSdmSemRfnRgVtLTTgUShUShVS\ hVShWShWShXShXShYShYShZShZSh_Sh_Sh`Sh`ShaShaShbShb\ ShcShcShdRhdRheRheRhfRhfRhgRhgRhhRhhRhiRhiRhjRhjRh\ kRhkRhlRklRnmRqmRtnRwDLzFMzGMzIMzJMzLNzMNzNNzPNzQN\ zSOzTOzUOzWOzXPzZPz_Pz`PzbPzcQzzmzzmzzmzzmzzmzzmzz\ mzzmzzmzzmzzmzzmzYmz_mzamzcmzfmzhmzjmzlmzTmzUmzVmz\ WmzXmzXmzYmzZmz_mz`mz`mzamzbmzcmzcmzdmzemzfmzgmzgm\ zVmzRmzMmzImzEmzDmzCmzBmz } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

1 0

RE: [Fractint] FOTD 10-09-06 (Elephant Run [5])
by Jim Muth 10 Sep '06

10 Sep '06

FOTD -- September 11, 2006 (Rating 6) Fractal visionaries and enthusiasts: A bit of four-dimensional trickery is displayed in today's image, which tries desperately to be a Julia set of East Valley but never quite makes it. If the imaginary p1 parameter had been 90, we would have had a Julia set. As it is, we have a slice rotated a mere 0.2 degree toward the Elliptic direction, but that tiny rotation makes a world of difference. The basic outer shape of an East Valley Julia set is obvious, and the goofy eyes and noses are well represented, but don't search for elephants. None are there. They have been stretched out of existence, with only their infinitely stretched remains being visible as the vertical stripes inside the outer shell. It is curious how a rotation of only 0.2 degree can make such a large difference in the appearance of Julia sets, while such a rotation makes no difference at all in most Mandelbrot images. It would seem to indicate that the Mandelbrot-shaped parts of the Julibrot are in the form of a nest of four-dimensional hyper- cylinders, with the Julia direction lying parallel to the length of the hypercylinders. As to what such a nest of 4-D hyper- cylinders might look like, I have not the slightest idea. I have seen the Fractint evolver feature mentioned recently on the list. Yes, I do use it. It is one of the most useful features of the program. About one image in three is found with the evolver. But I usually round the evolver's parameters to one or two places before calculating the final image, thereby avoiding such awkward things as an angle of 37.7394877345823114 degrees, which I would enter as 37.74 degrees. BTW, today's image was not found with the evolver. If it had been, I might have let the evolver's (p1) parameters, which determine the angle, remain unrounded. The values are quite critical. Today's image deserves its rating of a 6. In fact a rating of 6-1/2 might have been a better choice. It's a relatively inter- esting if not particularly artistic picture. The name "Elephant Trickery" refers to the tricks the image plays with the Julia set of the central point. Changing the imag(p1) parameter to 90 will reveal the true Julia set, which really is a rather interes- ting one. The calculation time of 12 minutes is true on my tired, worn-out old clunker of a computer. But as long as it boots up DOS when I turn it on, that old warhorse will continue to be my fractal machine. More modern computers are far better on the internet, but some of them go into a panic when a DOS program is loaded. Those fractalists with such sensitive machines may download the finished GIF image of today's fractal from the FOTD web site at: http://home.att.net/~Paul.N.Lee/FotD/FotD.html A few more clouds and lower temperatures made Sunday less than perfect here at New Fractal Central, but the fractal cats don't mind the outside weather, since all they are permitted to do is watch it from their window. In my department, I am barely managing to keep the rush under control. So far it's going according to plan. I'll put the odds at 67 percent that the next FOTD will appear on schedule in 24 or so hours. Until that glorious time arrives, take care and check your world view for hidden errors. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Elephant_Trickery { ; time=0:12:05.35--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip passes=1 center-mag=0/0/0.9026217 params=90/89.8/2\ /0/0/0/0.27/0.00593 float=y maxiter=150000 inside=0 symmetry=none periodicity=10 colors=000AMX9NX8OW7PW6QV6RVBSYFS_JSaNScRSeVSgZTib\ UkfXmj_okf_lnKms5on6ph7qb7rY8sV9tS9qSEoQImQMkSQhTU\ fUYdWabXe`YiZXgYWfXWeWVdVVcTUbSTaRT`QS_PSZQR_RR_SR\ _SR`RfZdmarscqtdqtdqtdptepteouemuflufkufiughuggvgy\ vgxvhwvhuvhtwiswiqwipwjjwjhwjbxkaxkVxkUxkMxlIylGyl\ FymDymCymByn9zn8zn7zo5zo4zo3zo5xk7wh9udBtaDrZFqVGo\ SInPKlLMkIOiFQhBSf8Te5kMdUd7Vd8Vc9WcAWcBXbCYbDYaEZ\ aFZaG_`H_`I`_Ja_Ka_LbZMbZNcYOcYPdYReXSeXTfWUfWVgWW\ hVXhVYiUZiU_jU`jTakTblSclSdmSemRfnRgVtLTTgUShUShVS\ hVShWShWShXShXShYShYShZShZSh_Sh_Sh`Sh`ShaShaShbShb\ ShcShcShdRhdRheRheRhfRhfRhgRhgRhhRhhRhiRhiRhjRhjRh\ kRhkRhlRklRnmRqmRtnRwDLzFMzGMzIMzJMzLNzMNzNNzPNzQN\ zSOzTOzUOzWOzXPzZPz_Pz`PzbPzcQzzmzzmzzmzzmzzmzzmzz\ mzzmzzmzzmzzmzzmzYmz_mzamzcmzfmzhmzjmzlmzTmzUmzVmz\ WmzXmzXmzYmzZmz_mz`mz`mzamzbmzcmzcmzdmzemzfmzgmzgm\ zVmzRmzMmzImzEmzDmzCmzBmz } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| = 36 } END PARAMETER FILE=========================================

1 0

FOTD 10-09-06 (Elephant Run [5])
by JimMuth＠aol.com 09 Sep '06

09 Sep '06

FOTD -- September 10, 2006 (Rating 5) Fractal Visionaries and Enthusiasts: The big rush is in full swing, but I still found a few minutes for a trip to East Valley to see the elephants as they have never been seen before. We are actually viewing the pachyderms from the Oblate direction, which is the plane determined by the imag(c) and real(z) axes of the Julibrot. I named this orienta- tion Oblate because when the Jilibrot is sliced through its origin in this direction, an oblate open area appears. In this particular orientation, the elephants are not just sitting there, guarding their buds. They are running as though fleeing a brush fire. As they near the right edge of the image, they scrunch themselves up and dive down out of sight, eventual- ly losing all resemblance to elephants and curving around to become part of the goofy eyes of the Julia sets of East Valley. The straight line across the image around the elephants' feet is what I call a bridge. These straight-edged features never appear in Mandelbrot or Julia sets, but they are quite common in the sets of the four odd planes of the Julibrot. I have no time right now to explain why they are so straight, but I will do so when the rush subsides. Inamed the image "Elephant Run" because I imagined I saw running elephants in it. I rated it at a 5 because I put so little effort into it. As for the fractal cats, they are doing fine, though wondering why they are getting so little attention. If the work keeps moving, the next FOTD will appear in 24 hours. If not, look for it on the following day. Until whenever, take care, and even thinking about the fourth dimension can be hazardous to your health. Jim Muth START PARAMETER FILE==================================== Elephant_Run { ; time=0:06:22.01--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=ident/flip passes=t center-mag=+0.37097269855928490/-0.003112\ 53640045051/584.8368/0.01431 params=0/90/2/0/0/0\ /0.2615/0 float=y maxiter=50000 bailout=10 inside=0 logmap=yes periodicity=10 colors=000P`KObKNeJMgJLjIKlIJnIIqHHsHGuHFqLEmPEiSD\ eWCaZCAbBAfABiACm9Dp8Et8FwAGsBJpDMmEPjGSgHWdJZaKaZ\ MdVNgSPkPQnMSqJTtGVwDWzAUw9St9Rr9Po8Nl8Mj8Kg7Id7Hb\ 7F_6DX6CV6AS58P57N55K43H42F47J9CNDGRHLVLQZPUbTZfYc\ jagnelriqvmuzqeriQkaBdUZ1tY4uX7uWAuWCvVFvUIvTLvTNw\ SQwRTwRVwQUtQTrQSoQRmQQjQQhQPfQOcPNaPMZPLXPLVPKSPJ\ QPINPHLOGIOGGOFEOEBOD9OC6OB4OB2aVUaVWbWYbWZbW`cWbc\ WdcWedXgdXidXjeXleXneXoZUiSScLQYFOTHPUJQVKRWMSXOTY\ PUYRVZTW_UX`WYaYZbZ_b``cbadcbeecffcfeage`he_heZidX\ idWjdVkdUkcSlcRlcQmcPnbNnbMobLobKpbJpZzzVzzRzzNzzK\ zzGzzCzz8zz4zz1zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zzFzz\ CzzPzzRzzTzzUzzPzzLzzHzzDzzXzz`zzdzzhzzlzzpzztzzqz\ znzzkzzhzzezzczz`zzYzzVzzSzzQzzNzhKziHzjEzkCzlFzkI\ zjLziOziQzhTzgWzgZzfazeczdfzdizclzbnzbjz_fzXbzU_zR\ WzOSzLPzISzGVzFYzE_zDbzCezBgzAdzCczEZzGXzIUzKRzMPz\ NMzPJzRHzTEzVBzX9zYpzNfzT } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE======================================

1 0

RE: [Fractint] I used Fractint's evolver to vary both real & imag partsof p1 of FotD 060905.
by Jim Muth 09 Sep '06

09 Sep '06

----- Original Message ----- From: Hal Lane To: Fractint_msg ;Muth, Jim ;Philofractal Sent: 9/8/06 3:43:29 PM Subject: [Fractint] I used Fractint's evolver to vary both real imag partsof p1 of FotD 060905. Jim, what do "O", "E", "R" "P" stand for? O = Oblate E = Elliptic R = Rectangular P = Parabolic and of course M = Mandelbrot and J = Julia These are names I invented for the four unfamiliar perpendicular 2-D planes through the origin of the four-dimensional Julibrot figure. In 4-D space, there are 6 perpendicular 2-spaces through every point. Unfortunately, the big work rush has arrived, and I have no time for further discussion now. There is no FOTD for Sep. 9. I will try to post a FOTD for Sep. 10, but there is no guarantee. Things will be back to good-old normal by this Wednesday, Sep. 13. Jim M.

1 0

I used Fractint's evolver to vary both real & imag parts of p1 of FotD 060905.
by Hal Lane 09 Sep '06

09 Sep '06

################################################ Jim, I used Fractint's evolver ( <ctrl>E ) to vary both the real and imaginary parts of p1 from 0 to 90 of your Sept 5th, '06 FotD ("Is this Seahorse Valley?") and discovered where your p1 = (77, 90) fits into the pseudo 4D space presented by Fractint in evolver mode. You appear to have used the evolver yourself and picked the best image right out the fourth dimension! Jim, did you use Fractint's evolver to find the FotD for Sept 5th, '06? <---<< There appear to be lots of potentially fruitful areas to zoom in on, in the vast 4D volume between p1 = (0, 0) and p1 = (90, 90). In your formula you have: ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J I understand that "M" stands for Mandelbrot Set and "J" stands for Julia Set. Jim, what do "O", "E", "R" & "P" stand for? <---<< For reference here is the complete function: frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 I note that in the evolver-calculated four-space when p1 = (90, 90) the image is a Julia Set and when it was (0, 0) the image is a Mandelbrot set. I don't see how one can create a parameter file that will let others easily calculate this 4D space. However, if anyone is interested I will create a "cheat sheet" containing a list of instructions that you can use to tell Fractint to create this 4D space for you. Please email me. If I do this for someone who asks me I will put the result on the [Fractint] and [Philofractal] email lists. Currently, it seems that all one can do is save and reload the image of the 4D space. But I believe the extra info stored in the .gif file contains the parameters that the evolver used. So when you <r>eload the image you automatically come up in evolver mode with the ability to continue exploring and evolving! Maybe I will get around to putting a copy of the 4D space on my web site... - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ################################################ -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.405 / Virus Database: 268.12.2/441 - Release Date: 9/7/06

2 1

Nuclear tri-grams in the I Ching and Base 64 encoding in Fractint.
by Hal Lane 08 Sep '06

08 Sep '06

######################################################## >Date: Sun, 3 Sep 2006 22:07:56 -0300 >From: "David Fisher" <sunfish(a)intercom.net> >Subject: [Fractint] Binary system >To: "Fractint and General Fractals Discussion" > <fractint(a)mailman.xmission.com> >Cc: philofractal(a)lists.fractalus.com > >If anyone is interested check out the nuclear tri-gram >designations in the I Ching. Some are also used on the S Korean >flag. They are a base 2 system to 64 places...from 0 to 63. Zero >being - - used as a placeholder and --- used to designate value. >Count from the bottom up with the bottom place being 1, next 2, >next 4, next 8, next 16, and top 32. >These markings are ancient, but they could very well be used to >program gates for a base 64 system since gates are either on or >off, 0 or 1. Comments??? > >David M Fisher sunfish(a)intercom.net --------------------------------------------------- Comment: Fractint already uses a base 64 encoding for the color map that it saves in parameter files. It uses both upper and lower case letters, digits, and "`" and "_". Here is an example from one of Jim Muth's FoTD postings: colors=000OxzOxzKxzGxzDwz9vz5uz2tz4sz5rz7qz8pzAozB\ nzDmzElzGkzHjzKizMhzPgzRfzTezWcyYax`_wbYvdWugVtiUs\ lTtnSspRrRUZTWXVYWX_VZ`U`bTbdSdfRegQgdRibSk_TlYUnW\ VpTWrRXsPYuMZwK_xI`pLYiNVbQSVSPOVMHXJSg6ak3vSRpUNj\ WJeXFB87LJ78mO5ZG2K8BsxiyxUfcFOKurzfejTUVEIF6FC4C8\ 294ckzKRVhoaU_PFLCDX3jmnNSPvzM2YE1RA1K70D3ykoi`bVR\ QFGDzkvj`gVRTFGEp78Q64jBW7VhKqFDaA6M5Etk7VO4zD3o92\ `61L3MAeG9VB8L57A6xh3XMVoGteaaUPJICa`SPQICG927z16V\ vZiTKN5Wp3NZ1EHNp2WJoLEYAAH6zd3ZKqzJ883672471260uP\ OaIGJC8DEI6A99S3ef2VX1LO1AF06wcVz6Ki4AQ22e7U`sMTeF\ LS7DEg9lX8_M7OB6CZI3QF2HC189058s27S8iEXeXGOGkNzOEV\ ggYTVMEIBf`mLLPvV_gORTIIEC9eJ6SE4EA2WWLwCjCtt9ge6V\ S3IEI`CCQ86G4nq6PU32v91W4uEB_y7ozUbpMQ`FDL7`SFRMBI\ H79B3MlBEY77K3hU8UM5FE2AVO5ICBYs7O`3FInj5PQ2_9GB8O\ 87I57C266kztWgaGPJzzrjmdVZRFKDzzijkYVYNFKBLh0yYTS9\ jI8V97FEpFAdB7T73H3ZVBNM7 } My spell checker doesn't like base 64 encoding! ;-) ---------------------------------------------------- >These markings are ancient, but they could very well be used to >program gates for a base 64 system since gates are either on or >off, 0 or 1. It seems to me that binary encoding is the most direct way to map numerical digits onto a two- valued electronic gate system. How one conveniently *views* these binary digits is quite another matter. For a long time (in the DEC PDP-11 world at least) binary numbers were printed in octal to (save space? and paper?) and enhance understanding over printing the binary number. Mainframe systems seemed to like to encode binary numbers in hex, which took a little getting used to, but many people are comfortable using this now. We even have a new phrase in the language now -- "hex dump." Its very convenient that two hex digits exactly encode one byte, the smallest addressable memory unit on most machines. But I would think that having to remember the significance of 22 or 54 letters (case would be important) for base 32 or 64 (instead of just A-F for hex) would be an almost insurmountable challenge. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ###################################################### -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.405 / Virus Database: 268.12.2/441 - Release Date: 9/7/06

1 0

FOTD 08-09-06 (A Stab in the Back [7])
by Jim Muth 08 Sep '06

08 Sep '06

FOTD -- September 08, 2006 (Rating 7) Fractal visionaries and enthusiasts: I goofed. In yesterday's FOTD I stated that it would take 10^64 transfers to solve the Tower of Hanoi puzzle. Actually, it would take only 2^64 transfers. This means that time is running out faster than we thought. Today's image might be the cover of a cheap horror novel about a homicidal maniac, but it is actually an almost-Julia set of East Valley. The outer shape of the Julia set is there sure enough, and the symmetrically placed bubbles in the interior are as expected, but the intruding dagger certainly does not belong in such an otherwise serene image. That dagger inspired the name "A Stab in the Back". The rating of a 7 seems about right for the picture. Actually, the dagger is East Valley itself, hugely enlarged and rotated out of position. How can it be this way? For a hint, consider the hugely increased length of your shadow when the sun is setting. The shadow is stretched in one dimension by the oblique projection. But in four-dimensional space, an object's shadow may be stretched equally in two dimensions by projection, which amounts to enlargement. The formula is a new one with a variable escape radius, written specially for today's image. The bubbly effect was achieved by rendering the image with the inside set to 'bof61'. The outside consists of the usual equal-iteration bands. The extreme bail- out of 25100 was necessary to give a few spare bands for the highlights on the bubbles. The slight horizontal stretching is just for effect. The render time of under 5 minutes will try no one's patience, unless they have more important things to do. But what could be more important than calculating a fractal never before seen? The unfortunate fans with SOTA units that crash when they hear the word 'Fractint' will find the finished image posted in GIF format on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Thursday started foggy here at New Fractal Central, but by 11am the fog burned off, leading to a perfect sunny afternoon with a temperature of 81F 27C. The New Fractal Cats were too busy romping with each other to notice the sun. They stopped misbe- having only when it was time to enjoy their evening treats. My day was busier than average, and the work will only get worse over the next few days. I'll try to keep the FOTD going during the rush, but there are no promises. The next FOTD might appear in 24 hours. (I'll give 50-50 odds of it appearing.) If it fails to show up, check for it the following day. Until next time, take care, and dimensions may be all in the mind, but in which dimension is the mind? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Stab_in_the_Back { ; time=0:04:49.68--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JulibrotZ-New passes=1 center-mag=0/0/\ 0.8935863/1.0347 params=2/0/0.2501/0/0.0003/\ -0.0004/25000/0 float=y maxiter=10000 inside=bof60 logmap=yes periodicity=10 colors=000isvfoqclg`iZYfWVcSS`PPYMMVJJSGGPDGMEEKAC\ J6FJ1II3LJ5OK7RL9UMBWODYQF_SHaUJbWLcYNd_PcaRbbTacR\ `dU_dX`e_afbbfechgchicikcimcjocjqcksckuckwckxckzN4\ OWCPdLQmTRv`SuZQtYOsXNrWLqVJpUIoTGnREmQDlPBkO9jN8i\ M6hL5eN7bP9_RAXTCUVESXFPZHM`JJbKGdMEeND`PDXRDSSCOU\ CJVCFXBBZB6_B2aA0bA0dA0eO3`aHWnVRoTPoROoQNoOMoMLpL\ JpJIpHHpGGpEFpDEnGFmIGkKHjMHhOIgQJeSJdUKbWLaYM__MZ\ aNXcOWeORSRMETH0VK2UM3TO4SR5RT6QV7PY9O_ANaBMdCLfDK\ hEJjFIkINlLRmOVnS_oWcp_gqclrgpskttoxupwwqvxswytxzu\ yzvzzwzzxzzyzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:JulibrotZ-New {; Jim Muth ; Draws oblique slices of order n Julibrot Figure ; P1 defines power of Z, P2 determines center of slice ; P3 determines angle of slice z=pixel, c=p2+(pixel*p3): z=z^p1+c, |z| < p4+100 } END PARAMETER FILE=========================================

1 0

Re: FOTD 07-09-06 (Towers of Hanoi [6])
by Jim Muth 07 Sep '06

07 Sep '06

At 12:49 PM 9/7/06 +0100, you wrote: >Sorry Jim, but I have the shortcut, it's actually (2^64) -1 transfers, making a total of only 590 >billion years. Must run, time is short...... Now you've got me worried.

1 0

Re: [philofractal] FOTD 07-09-06 (Towers of Hanoi [6])
by padski＠padski.com 07 Sep '06

07 Sep '06

Sorry Jim, but I have the shortcut, it's actually (2^64) -1 transfers, making a total of only 590 billion years. Must run, time is short...... ----- Original Message ----- From: Jim Muth To: fractint(a)mailman.xmission.com Cc: philofractal(a)lists.fractalus.com Sent: Thu, 07 Sep 2006 00:28:44 -0400 Subject: [philofractal] FOTD 07-09-06 (Towers of Hanoi [6]) FOTD -- September 07, 2006 (Rating 6) Fractal visionaries and enthusiasts: Today's FOTD image takes us to East Valley, aka Elephant Valley, where we check the elephants, the goofy-looking eyes and noses, and the typical East Valley brain-like patterns. What's this, you see none of this stuff? That's because we're looking at the valley from an entirely new direction, roughly from above the screen. The generous stretching (1380 times) in the vertical direction was necessary to bring out the detail. Without stretching, the image would consist of little more than a few horizontal lines. As it is, the scene looks like two oriental towers. I named the image "Towers of Hanoi" after a mathematical puzzle I saw in the 'Believe it or Not' comic strip many years ago. The goal of the puzzle is to take a peg with 64 discs stacked on it, which increase in size toward the bottom of the pile, and transfer the stack of disks to another peg, with the largest disk again on the bottom. At no time may a larger disk be placed on top of a smaller disk. There is a third peg to make the transfer possible. Priests in the temple of Hanoi have been working on the puzzle for thousands of years, and when the transfer is completed, the world will vanish in a thunderclap. But there is no cause to worry, for 10^64 transfers are needed to do the job. Making one transfer per second, the priests would need something like 3*10^53 years to finish their task. But I only hope no one finds a short cut. The rating of a 6 was given without much thought. The speedy render time of 34 seconds is true on my fractal machine. The completed GIF image has been posted for convenience on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A picture of the new fractal cats is posted there also. A brief shower in the early afternoon did not spoil an otherwise fine day here at New Fractal Central. Generous sun and a temper- ature of 75F 24C kept the new fractal cats happy. Actually, I think the toy bird we picked up this morning at the Pet Mart kept them happier than the weather, which they usually ignore. The standard treat of tuna for Cassie and cheese for Nico fin- ished a near perfect day for them. My day was busier than yesterday but still under control. Unfor- tunately, I can not say the same for Friday and the week-end. I expect a big job to arrive late tomorrow, which will be due next Wednesday. It might force me to miss a few FOTD's. But never fear, the daily FOTD is in no danger of vanishing forever. (Of course, that's what the crocodile hunter said . . .) Anyway, until the next FOTD appears in 24 hours, take care, and try to keep your technology under control. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Towers_of_Hanoi { ; time=0:00:34.28--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new center-mag=0/-0.027\ 83359565155030/1380.708/0.0009649 params=0/45/2/0/\ 0/0/0.28/0.0001 float=y maxiter=10000 inside=0 logmap=58 symmetry=yaxis periodicity=10 colors=000OxzOxzKxzGxzDwz9vz5uz2tz4sz5rz7qz8pzAozB\ nzDmzElzGkzHjzKizMhzPgzRfzTezWcyYax`_wbYvdWugVtiUs\ lTtnSspRrRUZTWXVYWX_VZ`U`bTbdSdfRegQgdRibSk_TlYUnW\ VpTWrRXsPYuMZwK_xI`pLYiNVbQSVSPOVMHXJSg6ak3vSRpUNj\ WJeXFB87LJ78mO5ZG2K8BsxiyxUfcFOKurzfejTUVEIF6FC4C8\ 294ckzKRVhoaU_PFLCDX3jmnNSPvzM2YE1RA1K70D3ykoi`bVR\ QFGDzkvj`gVRTFGEp78Q64jBW7VhKqFDaA6M5Etk7VO4zD3o92\ `61L3MAeG9VB8L57A6xh3XMVoGteaaUPJICa`SPQICG927z16V\ vZiTKN5Wp3NZ1EHNp2WJoLEYAAH6zd3ZKqzJ883672471260uP\ OaIGJC8DEI6A99S3ef2VX1LO1AF06wcVz6Ki4AQ22e7U`sMTeF\ LS7DEg9lX8_M7OB6CZI3QF2HC189058s27S8iEXeXGOGkNzOEV\ ggYTVMEIBf`mLLPvV_gORTIIEC9eJ6SE4EA2WWLwCjCtt9ge6V\ S3IEI`CCQ86G4nq6PU32v91W4uEB_y7ozUbpMQ`FDL7`SFRMBI\ H79B3MlBEY77K3hU8UM5FE2AVO5ICBYs7O`3FInj5PQ2_9GB8O\ 87I57C266kztWgaGPJzzrjmdVZRFKDzzijkYVYNFKBLh0yYTS9\ jI8V97FEpFAdB7T73H3ZVBNM7 } frm:multirot-XZ-YW-new {; 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)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE========================================= --------------------------------------------------------------------- To unsubscribe, e-mail: philofractal-unsubscribe(a)lists.fractalus.com For additional commands, e-mail: philofractal-help(a)lists.fractalus.com

1 0

FOTD 07-09-06 (Towers of Hanoi [6])
by Jim Muth 07 Sep '06

07 Sep '06

FOTD -- September 07, 2006 (Rating 6) Fractal visionaries and enthusiasts: Today's FOTD image takes us to East Valley, aka Elephant Valley, where we check the elephants, the goofy-looking eyes and noses, and the typical East Valley brain-like patterns. What's this, you see none of this stuff? That's because we're looking at the valley from an entirely new direction, roughly from above the screen. The generous stretching (1380 times) in the vertical direction was necessary to bring out the detail. Without stretching, the image would consist of little more than a few horizontal lines. As it is, the scene looks like two oriental towers. I named the image "Towers of Hanoi" after a mathematical puzzle I saw in the 'Believe it or Not' comic strip many years ago. The goal of the puzzle is to take a peg with 64 discs stacked on it, which increase in size toward the bottom of the pile, and transfer the stack of disks to another peg, with the largest disk again on the bottom. At no time may a larger disk be placed on top of a smaller disk. There is a third peg to make the transfer possible. Priests in the temple of Hanoi have been working on the puzzle for thousands of years, and when the transfer is completed, the world will vanish in a thunderclap. But there is no cause to worry, for 10^64 transfers are needed to do the job. Making one transfer per second, the priests would need something like 3*10^53 years to finish their task. But I only hope no one finds a short cut. The rating of a 6 was given without much thought. The speedy render time of 34 seconds is true on my fractal machine. The completed GIF image has been posted for convenience on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A picture of the new fractal cats is posted there also. A brief shower in the early afternoon did not spoil an otherwise fine day here at New Fractal Central. Generous sun and a temper- ature of 75F 24C kept the new fractal cats happy. Actually, I think the toy bird we picked up this morning at the Pet Mart kept them happier than the weather, which they usually ignore. The standard treat of tuna for Cassie and cheese for Nico fin- ished a near perfect day for them. My day was busier than yesterday but still under control. Unfor- tunately, I can not say the same for Friday and the week-end. I expect a big job to arrive late tomorrow, which will be due next Wednesday. It might force me to miss a few FOTD's. But never fear, the daily FOTD is in no danger of vanishing forever. (Of course, that's what the crocodile hunter said . . .) Anyway, until the next FOTD appears in 24 hours, take care, and try to keep your technology under control. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Towers_of_Hanoi { ; time=0:00:34.28--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new center-mag=0/-0.027\ 83359565155030/1380.708/0.0009649 params=0/45/2/0/\ 0/0/0.28/0.0001 float=y maxiter=10000 inside=0 logmap=58 symmetry=yaxis periodicity=10 colors=000OxzOxzKxzGxzDwz9vz5uz2tz4sz5rz7qz8pzAozB\ nzDmzElzGkzHjzKizMhzPgzRfzTezWcyYax`_wbYvdWugVtiUs\ lTtnSspRrRUZTWXVYWX_VZ`U`bTbdSdfRegQgdRibSk_TlYUnW\ VpTWrRXsPYuMZwK_xI`pLYiNVbQSVSPOVMHXJSg6ak3vSRpUNj\ WJeXFB87LJ78mO5ZG2K8BsxiyxUfcFOKurzfejTUVEIF6FC4C8\ 294ckzKRVhoaU_PFLCDX3jmnNSPvzM2YE1RA1K70D3ykoi`bVR\ QFGDzkvj`gVRTFGEp78Q64jBW7VhKqFDaA6M5Etk7VO4zD3o92\ `61L3MAeG9VB8L57A6xh3XMVoGteaaUPJICa`SPQICG927z16V\ vZiTKN5Wp3NZ1EHNp2WJoLEYAAH6zd3ZKqzJ883672471260uP\ OaIGJC8DEI6A99S3ef2VX1LO1AF06wcVz6Ki4AQ22e7U`sMTeF\ LS7DEg9lX8_M7OB6CZI3QF2HC189058s27S8iEXeXGOGkNzOEV\ ggYTVMEIBf`mLLPvV_gORTIIEC9eJ6SE4EA2WWLwCjCtt9ge6V\ S3IEI`CCQ86G4nq6PU32v91W4uEB_y7ozUbpMQ`FDL7`SFRMBI\ H79B3MlBEY77K3hU8UM5FE2AVO5ICBYs7O`3FInj5PQ2_9GB8O\ 87I57C266kztWgaGPJzzrjmdVZRFKDzzijkYVYNFKBLh0yYTS9\ jI8V97FEpFAdB7T73H3ZVBNM7 } frm:multirot-XZ-YW-new {; 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)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

1 0

FOTD 06-09-06 (Julibrot View [8])
by Jim Muth 06 Sep '06

06 Sep '06

FOTD -- September 06, 2006 (Rating 8) Fractal visionaries and enthusiasts: Today's final visit to Seahorse Valley is a bit overwhelming, showing both the familiar Julia set and Seahorse Valley itself in the same image. The outer shell of the fractal is the Julia set of Seahorse Valley, while the interior stuff is the valley itself, grossly enlarged and seen from an angle which is double- rotated less than 1 degree from the Julia direction. The two branches of Seahorse Valley can be plainly seen converging on the center of the image. Don't try to visualize how it can be this way. It's the path to mental congestion. Even a four-dimensional student studying four-dimensional geometry would have trouble with it. The enlarged and distorted view of the valley involves hyperangles with two independent arc measurements between planes that inter- sect in a single point. It's hard enough to visualize a hyper- sphere, much less the whole convoluted Julibrot. I rated the image at an 8. In my opinion, it's worth it. The colors were pretty much a happy accident, but being the creating fractalist, I can take any credit. (As well as some occasional blame.) The name "Julibrot View" is a simple description. The render time of 28 minutes with passes=t may be cut in half by calculat- ing the parameter file with passes=g, but the price is the loss of some detail. The passes=b option finishes in 1 second, but misses the entire image. The passes=1 option captures every last speck of detail, but takes over an hour to do it. The passes=t version has been posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may be conveniently downloaded. Heavy clouds and occasional light rain did not concern the new fractal cats, who glanced out the window once or twice between bouts of play. When they finished their evening treats of tuna and cheese, I told them that they will soon be world famous with their pictures posted on the FOTD web site. They continued to wash their faces. With the work still up to date, I was not concerned either. But the potential still exists for a rush job to come in around Thursday. The next FOTD will appear in 24 hours, and will take us to East Valley to check the elephants that live there. Until then, take care, and be fondly optimistic. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julibrot_View { ; time=0:27:58.47--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 center-mag=0/0/0.85918 params=90.642/90.608/90.945/90.346/-0.75/0/0/0 float=y maxiter=100000 inside=0 passes=t logmap=yes periodicity=10 colors=00057h67f77d87b97`A7ZB7YC7XDCWFHXGMYGRaGWeG\ _hGdlGhoIgpJfqKeqLerLdrLcsMcsMbtMauNauN`vN_vO_wOZw\ OYxOYxR_vTauVbsXdrZfqagocinejmglkinjlohnqgpsfrtdtv\ cvwbrrdnnfjjhffibbk_YmWUoSQpOMrKItHEuYFenGQ_OVLV_O\ T`RR`UP`XOa_MabKaeJahHbkFbnDbqCctAcw8cx7cvBfsFipIk\ mMnjQqgTshRphPnhOlhMjiLgiJeiIciGajFZjDXjCVjATj9RhA\ PfAOdBMcBLaCK_CIZCHXDGVDETEDSECQFAOF9NF8PJCRMGTPKV\ SOXVSZYW``_bccdfgfikhlojoslrwnuzowzqvzruzstztrzupz\ vozwmztkzrhypdxn`vlXtiUsgQqeMocJnaFl_CkaIibNhcSfdX\ efbcggbhl`iq_jvZcqXYlUSgSUcTV`UWYVYVWZSX_PX`MYbJZc\ G_dD`eA`USjJhsNgmRfhVebZdYbcTfbNjaInaDYcLIeTLhRNjP\ QjNSjLVjKXjI_lGapEctD_rJWqPTpVPo`LnfImkKkiMihOgfQe\ eSccUabW_`YY__WYmLOaUXcSVeQUgOSiMRkKPkzqlznlwllsjl\ phllflidlfbmb_m_YmWWmTUmPSmMQxb_xYXwTUrORdHxfIrgIm\ hIhjJbkJYlJT9ofUmX`lUbhZcecebhfZmhWriTwkPzlMzqzzpx\ zoqzojzncznXzmQzSmzIezH`z } frm:SliceJulibrot2 {; draws most slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=9 } END PARAMETER FILE=========================================

1 0

FOTD 05-09-06 (Is This Seahorse Valley? [7])
by Jim Muth 05 Sep '06

05 Sep '06

FOTD -- September 05, 2006 (Rating 7) Fractal visionaries and enthusiasts: Seahorse Valley never looked like this before. The unexpected shape inspired the name "Is This Seahorse valley?" But the image most certainly is one of Seahorse valley. The scene is an oblique view of the valley, rotated 13 degrees from the Julia orientation toward the Rectangular orientation. If anyone doubts this, change real(p1) to 90 and watch the Seahorse Valley Julia set appear. And while you're at it, change poth parts of (p1) to zero and watch Seahorse Valley itself appear at the center of the screen, awkwardly rotated 90 degrees. With all these unfamiliar aspects, what shape then is the entire Seahorse Valley area of the Julibrot? It is a tapering four- dimensional wedge that terminates in a sharp plane. A sharp plane would describe the razor edge that a 4-D man would use to shave his chin, just as a 3-D man uses a blade with a sharp line as the cutting edge. Yes, I know it's silly to think that a plane could be sharp, but the fourth dimension makes many imposs- ible things possible. A sharp plane could extend indefinitely in all directions, yet a 4-D man could cut himself seriously if he carelessly touched it. Thank goodness we can see our fractals only two dimensions at a time. The included parameter file of today's image runs in a little over 1-1/2 minutes. The image is also conveniently available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I'll probably post a few more unexpected aspects of Seahorse Valley before moving on to East Valley, which, if anything, is even more varied than Seahorse Valley. The weather turned quite pleasant here at New Fractal Central on Monday, with warm sun and a temperature of 73F 23C. The fractal cats enjoyed the fine weather as they sat on their scratching posts, soaking up the sun. My day was reasonably quiet, but that big job is still looming for later this week. The job will not arrive tomorrow however, so expect the next FOTD to be posted on schedule in 24 hours. Until then, take care, and a four dimensional man would probably cut himself in half if he stepped on one of our sidewalks. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= IsThisSeahrsValley { ; time=0:01:39.03--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=flip/ident passes=1 center-mag=0/0/1.127829/1/-90/-1.2337e-014 params=77/90/2/0/0/0/-0.75/0 float=y maxiter=50000 inside=255 logmap=yes periodicity=10 colors=000E2hC2iA2p82o62n40m50l60k70j70i80h90gA0fA\ 0eB0cC0aD0_D0XE0UF0RF5OCAKAEH7HL5KQ2LV0MZ4PZ8SZCUZ\ GXZJ_ZMYZOWZQU_SS_UQ_WO`YM`_K`aIacGaeEagCbiAbk8cm6\ co4bq4aq4`p4_p4Yp4Xp4Wp4Vo4Uo4To4Ro4Qn4Pn4On4Nn4Mn\ 4Km4Jm4Im4Hm4Go2Em4Fl6Fj7Gi9GgAGfCHdDHcFHaGI`IIZJI\ YLJWMJVOJTPKSRKQTKPULNWLMXLKZMJ_MHaMGbNEdNDeNBgOAh\ O8jO7kP5mP2qR4nP5kO7hM8eL9bJB`ICYGDVFFSDGPCINAJNFK\ NKMNPNNUPNUONUOOUPOZROcTOhVOmTOgROaPOWNOQLSJJWDH_7\ Eb0Gc1Ic2Jc2Ld3Md3Od4Pd5Re5Se6Ue6Vf7Xf8Yf8_f9`g9bg\ AcgBehBfhChhCihDkiEliEniFoiFnjEnkEnkEmlDmlDmmDmnDl\ nCloCloCkpBkqBkqBkrBjrAjsAjtAit9iu9ju9kv9kw8mx8oy8\ rz7sz8uz8uz8sz8qz9nz9lz9jy9ix9hwAfvAfuAftAftBftBft\ BesBesBesCerCerCdrCdqDdqDdqDdpDcpDcpEcoEcoEeoEgoFi\ oEkoEmoEooDqoDsoDuoCwoCxoCzoCzoBzoBzoBzoAzoAzoAzo9\ zo9zo9zo9zo8zo8zo8zo7zo7zo7zz7zz8zz9zzAzzBzzCzzDzz\ EzzFzzGzzHzzzzzzzzzzzzzzz } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

1 0

RE: How can you find a particular image if its not named?
by Hal Lane 04 Sep '06

04 Sep '06

>From: merren [mailto:merrenp@ihug.co.nz] > ...but with no other form of sorting, I can't > think how you could find a particular image... merren, I use an image viewing program that creates 'thumbnail'- sized images of each image in the Fractint directory. The size of the 'thumbnail' image is controllable so one can adjust them to be able to tell what is in the original-sized image. The viewing program I use is CompuPic. There are 'standard', 'express' and 'pro' versions with varying features and costs (from $20US to $50US). To find a particular image -- even if I *don't* know its name -- I simply visually scan the small versions of the images. One can additionally organize images into folders to keep the numbers of images one needs to visually scan at one time to find a particular image to a reasonable number. I also like the ability to browse the thumbnails of my images. I often find an image that I have forgotten about. The reason for keeping the length of the file names of Jim Muth's images at or below 8 characters is that Fractint is a DOS program and cannot display a meaningful version of a longer file name. The 8 character DOS file name restriction is a very unfortunate limitation in specifying the contents of a file. The users of Fractint all hope for the day when Fractint will easily run on modern computers and use modern operating system and programming language features. - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # ######################### >-----Original Message----- >From: merren [mailto:merrenp@ihug.co.nz] >Sent: Sunday, September 03, 2006 11:53 PM >To: philofractal(a)lists.fractalus.com >Subject: Re: [philofractal] Re: FOTD 02-09-06 (New View of >SeahorseValley [6]) > > >Nothing wrong with DDMMYY. At least half the world uses that. Quite >rational, I think. There's a big world out here, beyond ther borders of >the US. > >I give my fractals names, sorted under subject. It works for me. I think >numbering is probably ok, but with no other form of sorting, I can't >think how you could find a particular image...a picture in your >mind...when you don't remember when you made it. > >merren > >Paul N. Lee wrote: >> David wrote: >> >>>>John W., >>>> >>>>I file the fractals by date and what you >>>>call FOTD 02-09-06, I file as 090206.par. >>>>I occasionally forget that America writes >>>>the date backwards >>> >>>The only rational way to write the date is >>>YYYY.M.D (2006.9.2) or YYYYMMDD (20060902). >>>Either one lets you append the time (HH.MM.SS >>>or HHMMSS), and both produce a very sensible >>>and easily sorted date/time. ;-) >>> >> >> >> So very true!! And definitely the best way when using computers to >> store such values. >> >> The thing America has failed to do right is use the Metric system. >> >> >> Later, >> P.N.L. >> ------------------------------------------------- >> http://home.att.net/~Paul.N.Lee/PNL_Fractals.html >> http://www.Nahee.com/Fractals/ >> >> --------------------------------------------------------------------- >> To unsubscribe, e-mail: philofractal-unsubscribe(a)lists.fractalus.com >> For additional commands, e-mail: philofractal-help(a)lists.fractalus.com >> >> >> > >--------------------------------------------------------------------- >To unsubscribe, e-mail: philofractal-unsubscribe(a)lists.fractalus.com >For additional commands, e-mail: philofractal-help(a)lists.fractalus.com > >-- >No virus found in this incoming message. >Checked by AVG Free Edition. >Version: 7.1.405 / Virus Database: 268.11.7/436 - Release Date: 9/1/06 > -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.405 / Virus Database: 268.11.7/436 - Release Date: 9/1/06

2 1

Re: FOTD 02-09-06 (New View of SeahorseValley [6])
by Jim Muth 04 Sep '06

04 Sep '06

At 09:09 AM 9/2/06 -0700, John Wilson wrote: >O.K., Jim. You have me all confused again! >I thought that your previous FOTD was entitled >"The very last midget". So why am I presented >with a midget with my breakfast this morning? "The very last Midget" image will be the last one with a midget at the center until October. You must be viewing the wrong image. There are no Mandelbrot midgets in the 'New View' image. They would be impossible. I said nothing about just plain open holes however. Jim M.

8 18

How I name Jim Muth's images on my computer.
by Hal Lane 04 Sep '06

04 Sep '06

This seems as good an opportunity as any to pass along how I name Jim Muth's images in my Fractint folder on my computer where they are currently mixed in with other .GIF fractal image files. When I calculate one of Jim Muth's Fractal of the Day images I name it: FYYMMDD[n].GIF The 'F' identifies it as a FotD image and groups all the FotD images together. The 'YYMMDD' automatically sorts the FotD images into correct ascending date order. And I can create 36 or so variations or zooms of Jim's image by optionally appending: '[n]' -- a single letter or number to identify a new image as my own -- but still show that the base source image was from a particular image of Jim's. The resulting file name is either seven or eight characters long, allowing Fractint to show the full name and not an eight character name created by Windows -- e.g. where: MyFractal.gif becomes: MYFRAC~1.GIF as displayed by DOS programs such as Fractint. A downside of this scheme is that it gives different 'date numbers' than Jim uses ( "FOTD 02-09-06" for Sept. 2nd, '06 ). Paul N. Lee who puts copies of Jim's images on the web at: http://home.att.net/~Paul.N.Lee/FotD/FotD.html uses YY-MM-DD format to name his web pages -- e.g.: FotD_06-09-02.html - Hal Lane ######################### # hallane(a)earthlink.net <mailto:hallane@earthlink.net> # ######################### >-----Original Message----- >From: Paul N. Lee [mailto:Paul.N.Lee@Worldnet.att.net] >Sent: Sunday, September 03, 2006 1:02 AM >To: fractint(a)mailman.xmission.com >Cc: philofractal(a)lists.fractalus.com >Subject: [philofractal] Re: FOTD 02-09-06 (New View of SeahorseValley [6]) > >David wrote: >> >> > John W., >> > >> > I file the fractals by date and what you >> > call FOTD 02-09-06, I file as 090206.par. >> > I occasionally forget that America writes >> > the date backwards >> >> >> The only rational way to write the date is >> YYYY.M.D (2006.9.2) or YYYYMMDD (20060902). >> Either one lets you append the time (HH.MM.SS >> or HHMMSS), and both produce a very sensible >> and easily sorted date/time. ;-) >> > >So very true!! And definitely the best way when using computers to >store such values. > >The thing America has failed to do right is use the Metric system. > >Later, >P.N.L. -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.405 / Virus Database: 268.11.7/436 - Release Date: 9/1/06

2 1

FOTD 04-09-06 (Seahorse Landscape [8])
by Jim Muth 04 Sep '06

04 Sep '06

FOTD -- September 04, 2006 (Rating 8) Fractal visionaries and enthusiasts: Today's image is a scene in Seahorse Valley. It has been in no way altered by stretching or skewing; the color bands were crea- ted with the traditional 'outside=iter' method. Yes, I realize that the scene has no resemblance to the Seahorse Valley we know so well, or to its Julia sets, but we must not forget that the valley is a four-dimensional thing with aspects that the limited human mind will never conceive. But could a mind greater than human conceive the fourth dimension? Perhaps. I named the picture "Seahorse Landscape". With a little stretch of the imagination it does somewhat resemble one of those fantas- tic landscapes created by surrealist artists and then filled with their dream objects. I gave myself a pat on the back when I rated the image at an 8. And why not? I spent nearly an hour smoothing and fine-tuning the colors. The render time of 9.5 minutes is good on my ancient U.S.Logic P200 computer, which has long since passed the expected time of its assignment to the trash heap. But as long as it keeps run- ning Fractint, it will be my fractal machine. Some over-educated S.O.T.A. machines may panic when they see a DOS program like Fractint. Those with such skittish units will do better to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the GIF image file of today's scene from there. The weather here at New Fractal Central on Sunday was marginal as we dried out from the 4 inches (10CM) of rain that fell on Saturday, when over-hyped Ernesto blew through. The cloudy skies and temperature of 64F 18C were disappointing for those hoping for a last fling of outdoor summer recreation. The fractal cats were not bothered however. They spent the day alternating between sleeping and chasing each other up and down the long hallway. An evening treat of tuna for Cassie and sharp cheddar cheese for Nico kept them happy. And BTW, I have a good picture of the two new fractal cats. I'll send it to be posted on the FOTD web site in a day or so. My day was just busy enough to prevent boredom. In the after- noon I got word that another big job might be on the way for later this week. If it is as large as boasted, it might cause me to miss a few FOTD's, but right now that is pure speculation. The next fractal trip to Seahorse Valley will appear in 24 hours. Until then, take care, and how many seahorses could fit into Seahorse Valley? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seahorse_Landscape { ; time=0:09:38.09--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=-0.515363/0.00758601/19.26413 params=90/18/2/0/0/0/-0.75/0 float=y maxiter=50000 inside=255 logmap=22 periodicity=10 colors=000AAEEEEJEGOFITGKYGLbFNgFPlFRpBGpFSpIbpLmo\ MlnNlnNlmOkmOklPkeMqdLqcKrbIsaHt`Gu_FuZEvYDwXCxX8z\ WBxWDvWGuWIsWKqWNpVPnVSmVUkVWiVZhV`fVbeZcdaccddbgd\ alfZjd`hcafabe`ccZdaYf`WgZVhXTiWSjUQkSPmQNnPMoNKpL\ JqKHrIGtGEuFDvDBwBAxA9y98z87z76z65z63y64w65u66s66q\ 67o68m69k69i6Ag6Ae6Ac6Aa6A_6AY6AW6AU6AU6AU6AP6AQ6A\ R6AS6AT6AU6AV6AW6AX6AY6AZ6A_6A`6Ba6Cb6Dc6Ed6Ge7Ie8\ Ke8Md9NdAOdAPdBQdCReCSgDTiEUkEVmFWoGXqGYsHZuI_wK`x\ IayHbyGcyFdyEeyDfxCgxBhw9iw8jv7kv6lu5mu4ot3qt1qw2q\ t3pr4op5mn6ll7ji8ig8ge9ecAdaBb_CaXD_VEZTFXRFVPGUNH\ SKIRIJPGKOELMCLLANMBOMBQMCRMCTMDUMDWNEXNEZNF_NFaNG\ bNGdNGeOHgOHhOIjOIkOJmOJnPKpPKqPLsPLtPMvPMwPMuRNsS\ OrUOpVPoWQmYQlZRj`ShaSgbTedUdeUbgVahV_iWZkXXlXVnYU\ oZSpZRr_Ps`Ou`MvaKxcLwaMw`Nw_NwZOwYPwXPwWQwVRvURvT\ SvSTvRTvPUvOVvNVvMWuLXuKXuJYuIZuHZuG_uF`uE`uD_tC_s\ CZrBZqBYpAcmAhmAzzzzzzzzz } frm:multirot-XZ-YW-new {; 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)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

1 0

Binary system
by David Fisher 04 Sep '06

04 Sep '06

If anyone is interested check out the nuclear tri-gram designations in the I Ching. Some are also used on the S Korean flag. They are a base 2 system to 64 places...from 0 to 63. Zero being - - used as a placeholder and --- used to designate value. Count from the bottom up with the bottom place being 1, next 2, next 4, next 8, next 16, and top 32. These markings are ancient, but they could very well be used to program gates for a base 64 system since gates are either on or off, 0 or 1. Comments??? David M Fisher sunfish(a)intercom.net

1 0

FOTD 03-09-06 (Seahorse Valley-02 [6])
by Jim Muth 03 Sep '06

03 Sep '06

FOTD -- September 03, 2006 (Rating 6) Fractal visionaries and enthusiasts: Today's colorful image is another unfamiliar view of Seahorse Valley, which appears as the straight-edged bluish horizontal band extending nearly the full width of the frame. If the Mandelbrot set were expanded to include the part of the Julibrot extending behind and in front of the screen along the real-Z axis, today's view would be looking down from above. (Yester- day's view was looking from the left.) Being a four-dimensional object, Seahorse Valley has more different views than can be imagined. And even when all the views have been studied, the viewer will have no better idea of the actual overall shape of the valley than he did at the start. Four-dimensional objects are not mere everyday three-dimensional objects with extra complex shapes. They are totally and absolutely different. The most basic feature of 4-D things is that their surfaces are three-dimensional, with 3-D volume. When looking at the surface of an opaque 4-D object, a 4-D man would see a 3-D volume projected onto his 3-D retinas. When observing a 4-D hypersphere, he would see what we would consider every point on the inside of a normal 3-D sphere. Rotation in four dimensions is about a plane as axis, and a 4-D object may be subject to two totally independent rotations simultaneously, with the gyroscopic effect of one rotation having no effect on the other rotation. All this is entirely unimaginable, but may easily be confirmed with mathematics. I named today's image "Seahorse Valley-02". I rated it at a 6. The render time of 1-1/2 minutes is brief enough to cause no one impatience. But the image has been posted anyway to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy rain fell all day here at New Fractal Central on Saturday. The fractal cats watched with some interest for a few minutes, then got about their normal cat business. My day was accept- able. The next FOTD will appear in 24 hours. Until then, take care, and step likely. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Seahorse_Valley-02 { ; time=0:01:36.83--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=flip/ident center-mag=-0.0375587/0/13.33333/0.06756/90/6.3997\ 41848e-014 params=90/0/2/0/0/0/-0.75/0.1 float=y maxiter=16000 inside=0 logmap=yes periodicity=10 colors=000qcUoXVmQWkJXiCYh6YlAeoDlrGsuJzpLtlNogPic\ QdZSZVUUQWOMXJHZDD`89a3Cc6Fe8HgAKiCNkEPmGSoIUqKXsM\ _uOawQdySfzUhuVjqWkmXmiYneYpaZqX_sT`tP`vLawHbyDcz9\ cyHcyOcyWcybcyjcyqcyxcsu`msYgqVanSWlPQjMKgJEeG8cD2\ aAhANkPancolbmkakj`jh_hgZgfYeeXdcWbbVaaU_`UZZVYYVX\ XVWWWWUWVTWUSXTRXTPXSOYRNYQMYQRVWWT``QfeOkjMpfPobR\ o_ToWWoSYnP_nLbnIdnEfmAim7km3mm0om8hkGbjOWiWQgcJmk\ DrbHvVKzNNz`NzOAzkdziezhezffzefzdfzbgzagz`gzZhzYhz\ XhzXgzYgzYfzYfzZezZezZdz_dz_cz_cz`bz`bz`az`azWYzSU\ zOQzKNzGJzCFz8Bz48z7AzABzDCzGDzJEzLFzOGzRHzUIzXJzZ\ KzaSzd_zggzklzoqzsuzrvzUwz6xzPyzgzzizzjzzkzzlzznzz\ ozzpzzqzzrzzdzzfzzgzzizzjzzlzzmzzizzfzzbzz_zzZzzZz\ zZzzYzzYzzYzzYzzXzzXzzXjzXkzWlzWzzWzzWzzXzzYzzZzz_\ zz`zzazzbzzczzdzzezzfzzgzzhzzizzizzjzzkzzlzzmzzzzz\ lzzVzzDzzHzzKzzNzzQzzTzzVzzXzzZzz`zzbzzgzzlzzqzzvz\ zszzqzzozzmzzkzzizzgzzdzz } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

1 0

FOTD 02-09-06 (New View of Seahorse Valley [6])
by Jim Muth 02 Sep '06

02 Sep '06

FOTD -- September 02, 2006 (Rating 6) Fractal visionaries and enthusiasts: Today we come face to face with the monster that has been lurking in the background of nearly every fractal image I have posted -- the abstract but strangely real four-dimensional fractal object known as the Julibrot. The Julibrot must be four-dimensional. It is created by reiterating two complex numbers, and complex numbers have two parts. 2+2=4. But what is the fourth dimension? In the theory of relativity, time is the fourth dimension, but in the Julibrot a fourth spatial dimension exists, meaning that for the Julibrot, time is the fifth dimension. So what is the fourth spatial dimension? In sci-fi stories we sometimes hear of creatures visiting earth from the fourth or fifth or whatever dimension. These fantasy higher dimensions are not true higher dimensions. They are merely alternate parallel universes of three dimensions, like our own universe. The true fourth spatial dimension is a line simultaneously perpendicular to every line we could draw in our 3-space. Such a direction is absolutely unimaginable, almost like there were some kind of impenetrable mental wall blocking our visualizing ability. Yet we can explore 4-space with mathematics as easily as we explore the familiar three-dimensional space of everyday experience. I will have much to say in the next month about the wonders and seemingly impossible features of 4-D objects and 4-D space. But for now it's time to get to today's image. Today's image is an Oblate view of that warhorse of all fractal objects -- Seahorse Valley of the Mandelbrot set. Yes, I realize that the image has no resemblance to Seahorse Valley or its Julia sets, but the thing in the image, which somewhat resembles a party mask, truly is Seahorse Valley, and a lot more of it than we normally see, at that. I will show another totally new view of Seahorse Valley in tomorrow's FOTD, and explain how the images were produced. I rated today's image at a 6, which is slightly above average. The scene has appeared before, but the coloring of today's version is about as good as I have ever seen, justifying the rating. The image renders in 14 seconds, one of the all-time fastest, and fast enough for the most impatient. Those with Fractint deprived computers may see the image by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A cloudy and unseasonably chilly morning here at Fractal Central on Friday gave way to a rainy afternoon. The fractal cats were not bothered by the bad weather. They spent the day indoors, by the window, watching the wet birds and squirrels outside, and wishing they could go out to get wet. My day was average, whatever that means. I expect tomorrow to be another average day. Hopefully, the FOTD, which will appear in 24 hours, will be above average. Until then, take care, and don't doubt the new fractal cats. I have a good picture of them sitting on their window sill, and I will soon send it to be posted on the FOTD web site. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= New_View_Seahorse { ; time=0:00:14.66--SF5 on a P200 reset=2004 type=formula formulafile=oldslice.frm formulaname=OldOblate center-mag=-2.22045e-016/4.4\ 4089e-016/0.85918 params=0/-0.75 float=y maxiter=50000 inside=255 logmap=yes symmetry=xyaxis periodicity=10 colors=000E2UC2WA2X82Y62Z40_50`60a70b70c80d90eA0fA\ 0eB0cC0aD0_D0XE0UF0RF5OCAKAEH7HL5KQ2LV0MZ4PZ8SZCUZ\ GXZJ_ZNaZRdZVgZYiZSeaNbcHZeCWgEYhG_hH`iJbiLdiMejOg\ jPhjNbeMYaLTYKOTJJPIELH9HYje`nacrYfvUizQeoNbdK_VHX\ KEUABQNNM_ZIljExuGwpIwkKwfLwaNvXPvSRvNSvJVtKXsKZrK\ `qKcoLenLgmLilLkkLihPheTgbXf_`eYcdVgcSkbPoaNrN6qLC\ oJInHOmFUlD_kBej9ki7qh6vgEkkMaoTSr`Ivg8yiAxjCwkDwm\ FvnGvoIupKurLtsNttOsuQswSrxTryVqzWqwVouUnrUmpTlmTk\ kSihShfRgcRfaQe_QdZUeYYfXagWehViiUmjhdYvXLrVKoTKkR\ KhPKeOJaMJZKJWIJSGJPFIMDIIBIF9IC8IJBJPEKVHL`JMdFKh\ CJk9IeJF_TDUbAOk8NoNMraLupLpqLkrLfrLasLXsMatNeuOiu\ RepTalWZhYVd_S`bOXdLTgHPiELkAHn7Dp39r05X_3WX5VV6UT\ 8TR9SPARNCRLDQJEPHGOFHNDIMBKL9LL7MN9KOBJQDIRFGTHFU\ IEUJFUKFULFUMFUNGUOGUPGUQGTSHTTHTUHTVHTWITXITYITZI\ T_JT`JTaJTbJTcJSdKSdLRdMReNReOQePQeQPfQPfRPfSOfTOg\ UNgVNgWNgWMhXMhYLhZLi_ji_ } frm:OldOblate {; Jim Muth real(z),imag(c) z=real(pixel)+flip(real(p1)), c=flip(imag(pixel))+imag(p1): z=sqr(z)+c, |z| <= 16 } END PARAMETER FILE=========================================

2 1

Re: [Who's out there? - Keith]
by Hal Lane 01 Sep '06

01 Sep '06

> Hi list, > > Damien put this one on the UF list so I thought I would join. Who's out there? > or is that a bad question? > > Keith Keith, I'm not too sure, but I have a vague impression that some of the members of the Philofractal list serve are from the DOS era when the free Fractint fractal image drawing program was a real technological advance for the slow machines and integer only CPUs available back then. I believe that we have a number of 'active' members and quite a few 'lurkers'. The program Fractint is a DOS program and is still under development. The Windows version of Fractint is farther behind in capability. A good place to get info about Fractint and a copy of the program is from: http://spanky.triumf.ca/www/fractint/fractint.html There is a developer's site: http://www.fractint.org/ where you can get betas of new versions of Fractint. The latest is: fract20.04p04.zip which I believe most people are using and seems to be quite stable. Jim Muth posts a new fractal just about every day in his 'Fractal of the Day' series. I will send this email to you, the [Philofractal] list serve and the [Fractint] list serve to see if anyone cares to agree or disagree with me or add any comments. Oh, btw, there is also a Fractint list serve that stays on the topic of the Fractint program a little more often than [Philofractal]. Send Fractint mailing list submissions to fractint(a)mailman.xmission.com To subscribe or unsubscribe via the World Wide Web, visit http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint or, via email, send a message with subject or body 'help' to fractint-request(a)mailman.xmission.com You can reach the person managing the list at fractint-owner(a)mailman.xmission.com - Hal Lane ######################### # hallane(a)earthlink.net # ######################### -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.405 / Virus Database: 268.11.7/435 - Release Date: 8/31/06

1 0

FOTD 01-09-06 (The very last Midget [No Rating])
by Jim Muth 01 Sep '06

01 Sep '06

FOTD -- September 01, 2006 (Not Rated) Fractal visionaries and enthusiasts: Today's image is named "The Very Last Midget". No, it is not the last midget I will ever find, but it is the last midget that will appear in a FOTD for the rest of September. In fact, today's image with its midget was originally scheduled to be posted on August 31, but a heavy load of work prevented me from posting it on schedule. Tomorrow's FOTD, and those for the rest of the month, will hold no midget. Today's scene is located in the oversized fractal that results when Z^(1.7) is subtracted from 1/10 part of Z^(-1.7) and (1/C) is added. Since I do not think too much of the image, I did not bother giving it a rating. But it is still worth a quick look, especially if that look is on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image can be found, ready for easy download. Crop circles and fractals -- an interesting combination. My opinion is that most crop circles are created by clever human pranksters, but like with UFO's there is a small but puzzling residue of unexplained circles. Are the unexplained circles caused by visitors from space? Most likely not. Are they caused by supernatural forces? Probably not. Are they caused by as yet undiscovered natural forces of earth? Probably so. But whether crop circles are real or fake, in my opinion, there are far more interesting and mysterious things that exist in the ultra-large realms of the cosmos and the ultra-small world of the atoms. A cloudy somewhat chilly day here at New Fractal Central on Thursday went un-noticed by the new fractal cats, who spent the day looking for and finding trouble. Nico somehow got himself shut up in the coat closet this evening, where he spent about two hours. When we noticed him missing and checked the closet, he strolled out, looking at us as if to ask, "what took you so long?" Cassie watched with interest, wondering what all the excitement was about. My day was quite busy, but the work is nearly caught up, which means the next FOTD should appear on schedule in 24 hours. Until then, take care, and could crop circles actually be the physical manifestation of fractals? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TheVeryLastMidget { ; time=0:07:48.13--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+4.51597914219008500/-18.05143327549904\ 000/2692.853/1/170/1.00111906334299228e-008 params=0.1/-1.7/-1/1.7/0/0 float=y maxiter=2500 inside=0 logmap=115 periodicity=10 colors=00029G4BH7DJAFKDHLFJNILOMOQQRRTUTXYU`bVdgXg\ kbknnpqyrsztqvupsvnowmlxkhxjexjaxiZyiVyhSyiOyjLxiN\ xhOxgPxfQxdRxbSxaTx_UxYVxXWxVXxTZxR_xQ`xOaxMbxLcxJ\ dxHexGfxEgxChxBiuFgrXfoTelTciUbfYac```dZYhYVlXSoVP\ sUMwTJzSJzSJvRJrQJmQJhPJcOJ_OJYNJWMJUMJSLJQKJOKJMJ\ JKIJIIJGHJEGJCGJAFJAEJAEJADJACJACJABJAAJAAJA9JC9LE\ CNGEPIGRKISMKUOMWQOYSQZUS`WUbYWd_Yea_gcaieckgelign\ kipmkromsqousqwusywuzxwtqsokpjemd_j_TfVNcPH`KBYF5V\ H7XI8YK9ZLB_NC`ODaQFbRGcTHdUJeWKfXLgZNh_Oi`PjaOkaO\ kaOkaOkaOkaOkaOlaOlbOlbOlbOlbOlbOlbOmbOmbOmbOmcOmc\ OmcOncOncOncOncOncOncOnaQl`Rj_TiZUgYVeXXdWYbVZ`U`_\ TaYSbWRdVQeTPfROhQNiOMjNNkONkPNkQOkQOkROkSOkSMjRLj\ QKjPJjOIjNHjMGiLFiKEiJCiIBiHAiG9hF8hE7hD6hC5hB4hA3\ h92UN2G`22m55i78fABcCE`FHYHKVKNSMQPPTMRWJUZGWaDYcA\ ZdBZdCZdDZdEZdFZdG_eH_eI_eJ_eK_eK_eL`fM`fN`fO`fP`f\ Q`fRagSagTagTagUagVSKaUMb } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 30-08-06 (Off on a Tangent [5])
by Jim Muth 30 Aug '06

30 Aug '06

FOTD -- August 30, 2006 (Rating 5) Fractal visionaries and enthusiasts: In today's image we check another midget of a very low order. The parent fractal is the Mandeloid that results when the expression Z^(1.1892)+C is calculated 49 turns down the logarithmic ladder. The central midget might be the last one for quite some time. I have a theme planned for the September FOTD's and midgets are not included. The rating of a 5 is all I could do for today's image, which mostly repeats things we have seen many times before. But one thing that has not been seen so many times is the huge discon- tinuity in the pattern surrounding the midget, one of the greatest I have yet seen. I named the image "Off on a Tangent". There is no logical reason for such a name. I simply felt like giving the image that name. The render time of 7 minutes is true on my 10-year-old fractal- dedicated P200 unit. On the current SOTA (State Of The Art) machines, the image will calculate in about 2 minutes. But some SOTA machines are over-qualified to run Fractint, which is still the world's best fractal generator. To avoid fractal frustra- tion, the owners of these handicapped units will need to down- load the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A warm, muggy, lazy afternoon with a temperature of 86F 30C was interrupted by a heavy thunder-shower at 4pm. The new fractal cats went to the window long enough to see what all the outside commotion was about. Then they returned to their job of getting into trouble. My sister called from Old Fractal Central this morning to let me know that the old fractal cats, Thomas and Tippy, are in good health, and are doing the same things they did when we were there My day was slow, but in the evening we heard from a customer who informed us that he will send in a big job tomorrow morning. The rush might put tomorrow's FOTD in doubt, so be sure to check back here in 24 hours to see how it goes. Until tomorrow, or maybe the next day, take care, and life is the world's greatest mystery. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Off_on_a_Tangent { ; time=0:07:05.95--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 periodicity=10 center-mag=-2.75444535467781000/-0.095428023111382\ 43/3.412037e+009/1/-40/2.57163975737953465e-005 params=1.1892/0/-49/0 float=y maxiter=7500 inside=0 colors=000udJzdczfUvgKrm6qj8qhAqfCqdEqbFq`HqYJqWLq\ UNqSOqQQqOSqMUqJWqHXqFZqD`qBbq9dq7ep9goBhnDinEjmGk\ lImkKnkLojNpiPqyPuiQrURoDTpFRmHQjIPgKOdLMbNL_PKXQJ\ USIRTGPVFMWEJYDG_CD`ABb98c85e72f60h91iB1kD2lF2mH3o\ K3pM4qO4sQ5tS5uU6wX6xZ7z`7zb8zd8zg9zi9zkAzmAzoBzr6\ zq9zqBzqDzqGzqIzqKzqMzqPzqRyqTwqWvqYuq_sqarqdpqfoq\ hnqklqmkqopzymuujqqhmneijbef`acYY_WUXTQTQMPOIMLEIK\ 9DJAFJBGJCHJDIJEJJFKJFLJGMJHNJIOIJPIKQILRILSIMTINU\ IOVIPWIQXJMNIOTIQYISbIUgIWlIYqG`yI_vKZtMZrNYpPYnRX\ lSXjUWhWVeXVcZUa`U_aTYcTWeSUfSShUZjWdkYjvfXzoHznJz\ mLzlNzkOykQwjSuiTthVrhXpgYof_meakdbiddhcffbgdaibak\ a`l__nYZpXZqWIpWHoVCnVHnUFmUPlTOlTMkSLjSJjRIiRGhTG\ lSFjRFhREgQEeQDcPDbPC`OC_NCYNBWMBVMATLARL9YK9XK9dJ\ D_JGgIJeIMkF_zIUzKRzMNwOMkRKhTJfVIdXHb_F_aEYcDWWCU\ hARj9Pl8Nn7Lq5Is4GuYEvZDw2Ct2Dj2Ee2Fn2HpKFoLEoLDnM\ CmMBlNAlN9nQBoTDqWErZGtaH } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

FOTD 29-08-06 (They All Look the Same [NA])
by Jim Muth 29 Aug '06

29 Aug '06

FOTD -- August 29, 2006 (Not Rated) Fractal visionaries and enthusiasts: Today's harmless little scene appears in the Z^sqrt(sqrt(2))+C Mandeloid as it appears 59 levels up the complex logarithmic ladder. (The logarithmic ladder is explained below.) The scene is so harmless in fact that I did not bother giving it a rating. I did give it a name however. After not too much thought, I named it "They All Look the Same", which sounds a bit biased, but really is not. A quick glance at the image will reveal why I gave it that name. Indeed, all midgets in the Mandeloids with an exponent of Z between 1 and 2 do seem to look pretty much the same. They all resemble splashes, or starbursts as they are sometimes called. I spend countless hours searching, hoping that I will find a midget in this range that is truly different. So far I have had minimal success. The calculation time of today's parameter file is under 19 minutes on my machine. This is a bit slow for an image of such questionable worth. For relief, I recommend downloading the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The 'complex logarithmic ladder' is a phrase I invented. I sometimes refer to the same thing by the name 'logarithmic hyperspiral'. Neither phrase will be found on the internet. I invented the phrases because the complex logarithmic function is multi-valued, and can have an infinity of solutions. Each solution gives a unique four-dimensional julibrot fractal, complete with both Mandelbrot and Julia slices. In my mind, I simply stacked these four-dimensional fractals onto one another until they formed a single many-layered hyper-object of 5 or so dimensions. It is the stack of all the julibrot fractals possible to create with a single exponent of Z that I call the logarithmic ladder. Today's parent fractal for example exists on the 59th level of this ladder. The ladder could perhaps be more conveniently thought of as the 59th floor of an infinitely tall skyscraper. In the MandelbrotBC2 formula, the p1 parameter determines the exponent of Z, while the p2 parameter determines the level of the ladder we wish to explore. Cloudy and muggy but dry weather prevailed here at New Fractal Central on Monday. The fractal cats seemed not to notice. They were too busy chasing each other up and down the hallway. The big event of their day came when I opened a bottle of soda. When Nico heard the hiss of the escaping gas, he hissed back at it. Cassie watched Nico make a fool of himself. The next FOTD is due in 24 hours. If all goes well, it will appear on schedule. Until then, take care, and mysteries just happen. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= TheyAllLookTheSame { ; time=0:18:51.96--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.13962249185463330/-0.000766113336763\ 77/5.149203e+007 params=1.1892/0/59/0 float=y maxiter=25000 inside=0 outside=tdis periodicity=10 colors=0000Gz0Gz0Gz0Gz0Hz0Hz0Hz0Hz0Jz0Jz0Jz0Jz0Jz0\ Lz0Lz0Lz0Lz0Nz0Nz0Nz0Nz0Pz0Pz0Pz0Pz0Nz0Pz4RzARzETz\ JVzNVzTXzXXxbVxeVxkVxoTxuTxxTxzRxuRsmRmeRg`PbTNXLN\ TEJN8HH0HC0J60L00L00N00U00V00W00X00Y00Z02_06`08a0C\ b0Ec0Hd2Ji2Nm2Pq2Tu2Vv2JuAAqH0oN0bV0Td0R`0RZ0PX0PV\ 0NR0NP0LN0LL0JH0JG0HE0HC0H80G60G40E20E00C02C04A04A\ 0680880A608806A04C04C02E00G00G00H00J00J20L40N60N80\ PA0RE0zG0TH0VJ0XL0XN0ZP0`T0`V0bX0dZ0d`0eb0gd0ge8uJ\ ez0gz2iz6kxAmvEmuGosJqoNsmRskVuiXvg`xedxbgz`kzZmzX\ qzVuzTxzPzfNzzLzzkzzHzzGzzkzzgzzEzzEzzEzzEzzEzxEzv\ EzuCzqCzoCzkCxiCueCsdCq`CoZAmzAkTAgRAezAdLAbHA`GAZ\ EAXzC`LEbPGeRGgTEeTEdzEdTEbTEbTE`TE`TEZTEXTEXTEVTE\ VTETTETTERTEPTEPTENTENTELTELTEJL0LTEJVdC`gHdkNgoRm\ sXqvbuzexzkzzqzzuzzzzzzzzvzzqzzizxdzsXzoRziJzeEudX\ kbo``zR`zTbzTdzVezVezXzzXizXizZkzZmz`ox`ovbqubsqbs\ odumdziexgexe0Ez0Ez0Ez0Ez } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

I am not familiar with the term 'logarithmic ladder'...
by Hal Lane 28 Aug '06

28 Aug '06

Jim, In your FOTD -- August 28, 2006, Anatomy of a Midget you say "I calculated the Z^sqrt(2)+C Mandeloid as it appears 414 levels down the logarithmic ladder..." I am not familiar with the term 'logarithmic ladder' and would like to understand what it means and how it applies in the context of calculating fractal images. If you have previously explained or given a reference to this, would you please point me to it? Google was not helpful to me in this instance. Thanks! - Hal Lane ######################### # hallane(a)earthlink.net # ######################### -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.405 / Virus Database: 268.11.6/428 - Release Date: 8/25/06

1 0

FOTD 28-08-06 (Anatomy of a Midget [8])
by Jim Muth 28 Aug '06

28 Aug '06

FOTD -- August 28, 2006 (Rating 8) Fractal visionaries and enthusiasts: I have always wondered what a midget in the Z^sqrt(2)+C fractal looks like up close and personal. Today I decided to find out. I calculated the Z^sqrt(2)+C Mandeloid as it appears 414 levels down the logarithmic ladder, and found the smallest midget I could that was within range of resolution. I set the maxiter at a very high 50000 and let the image rip. The unusually high maxiter is necessary to show all the detail in the more chaotic areas surrounding the main bay. Surprisingly, or perhaps not so surprisingly, the midget mirrors the appearance of its parent fractal. The sharp, jagged elements radiating from the midget have divided and sub-divided until they have lost definition. I would like to more closely examine the chaotic areas of the image, but sadly, these lie beyond resolution. I named the image "Anatomy of a Midget". After all, the picture is basically a study of a midget. I rated it at an 8, perhaps a bit high but not beyond reason. The render time of 27-1/2 minutes is true when the parameter file is run on my fastest machine, a P4-2300, with the passes set to 1. On my usual P200 unit, the image takes about 1/1-2 hours, not nearly the 11-1/2 times as long as might be expected. All this concern about render times may be avoided by download- ing the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy rain fell all day Sunday here at New Fractal Central on the banks of the Susquehanna River in Central Pennsylvania. By the time the day ended, near 4 inches, that is 10cm, of rain had fallen, causing some flooding of small streams and streets. The fractal cats stopped chasing each other long enough to glance out the window once or twice to watch the rain. But they are not outside cats, and they don't worry about wet weather. My day started slow and finished slow. The next FOTD will appear in 24 hours. Until then, take care, and what is more unreal, a dream or a fractal? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= AnatomyOf_A_Midget { ; time=0:27:30.35-SF5 on P4-2300 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 inside=0 center-mag=-0.35216497790502230/+0.096774058667879\ 18/2.68731e+011/1/117.5/-0.000214201607454139742 params=1.4142/0/-414/0 float=y maxiter=50000 logmap=650 periodicity=10 mathtolerance=0.05/1 colors=000kwUlvSmuQnsNorLpqJqoGrnEsmCokDljDhhDegDb\ eDZdDWbDSaDP_DMZDIXDFWDBUD8TD5SDFWGOZIYbLfeNohPmeN\ kcMiaKh_JfYIdWGbUFaSE_PCYNBWL9VJ8TH7RF5PD4OB3SDDVF\ NZGXaIfdJpZZeTmVSnXRnZRn_QoaPobPodOoeNpgNpiMpjLqlL\ qmKqoKqpOmlRiiUffXbb`__cWXfTTiPQlMNjLPiKRgJTfJVdIX\ cHZaG``GbZFdYEfWDhVDjTClSBnQApPArREoTHlULiWOfYScZV\ ``ZYbaVceSehPglMhoJjsGkvEnoOqhXtafwVozPxlYp_fiddbh\ cXlaRq`LuZFyY9`XBsbCpeDngEkjFhlGfnHclGakFksFYiEVhE\ TgDRTCPXCMXBKbBIaAG`AKbEOdHReKVgNZiQajUelXin_lobpq\ esrhpofnmdkjbih`ffZdcXaaV__TXXRVVPSSNQQLNOJLLHIJFG\ HEEPCCXABc99k78r6AnCCkHDhMFdRGaWIZ`JVeLSjMPoi0gfJi\ dakbtm`tYZtIYt3_kA`cHaWObOV_QSYRQWSOUTMSUJQVHOWFMX\ DKYBJXFJXIJWMIWPIVTIVWIU_HUbHTfHTiHSmGSpGRtGRwGRzG\ UyGWxGYxG_wGawGcvGewGgxGiyGkzGmzGozGqzGszPnzXizedz\ m_zuVzW0zX2zX4zX6zX8zYAzYCzYEzYGzYIz_LzaOzcQzdTzfV\ zhYzi_zkbzmezngzpjzrlzjyz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

FOTD 27-08-06 (Imperfect Perfection [7])
by Jim Muth 27 Aug '06

27 Aug '06

FOTD -- August 27, 2006 (Rating 7) Fractal visionaries and enthusiasts: Today's FOTD image takes us to the Z^1.95+C Mandeloid as it appears at ground level of the logarithmic ladder. At this level the parent fractal resembles a chopped-up Mandelbrot set. Today's scene is located in the East Valley area of its parent. It's an unusually attractive image for a fractal with an exponent of Z less than 2. The 'passes=b' option works quite well with today's image, and it is by far the fastest. I named the image "Imperfect Perfection" and rated it at a 7. The rating could have been a 7 or an 8. Being in a conservative mood, I decided on the rating of 7. The 6-1/2 minute render time may be avoided by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds and a temperature of 73F 23C kept the sun worship- pers indoors here at New Fractal Central on Saturday. It stayed dry however, making conditions perfect for checking one of the local antique emporiums, which, with a little coaxing from fractal lady, is what I spent the afternoon doing. The fractal cats spent the day looking for trouble. Nico worried himself silly trying to get into the basement, but the basement still needs to be cleaned before he will be permitted to explore it. The work is still slow, which means there should be no trouble finding and preparing the next FOTD, due to appear in 24 hours. Until then, take care, look for the bright side and be enlight- ened. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= ImperfectPerfecton { ; time=0:06:25.24--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=b center-mag=+0.26576286572368590/+0.007295698873062\ 91/5.409258e+009/1/-77.5/7.83611996738736716e-006 params=1.95/0/0/0 float=y maxiter=2000 inside=001 logmap=264 periodicity=10 colors=000000XRKQKKJEKGGKDHKAIK7JL9NMAQNCTODWQE_TG\ bVHeYIh_HcWG_TFVPERMDMJCIFBDCB99GGGLMMPTSUZYZddbkj\ gqpkwvgrqcmm`iiXdeT_`QWXMRTJNPKIQKERKARK6SK2SKJ7XF\ LiBYu8jsDlrHnpMpoQqiNadLN_J8HPmFNmDLmCJmAHm9FmBKkC\ OiDTgEXeFacGghcu_crZHlWGdTFXQERNEMKJLVNKdME_L9WL4S\ Q5NV6J_7Ed8Ah86kDBmKGoQKqWPsYVuZ_w`dxbiycnzcs`_YTZ\ WKXTCWQ4VOLYN``NRMLI8JDSN8jQ7gP6eP5cP4`O3ZO2XO1VOA\ QLJMISHF_DDh8Aq47y05u27q38m5Ai6Be8Da9EbECcJBdOAeT9\ fY7gb6hg5xk4w0AjBGZMLNXRBfWe2nd8gcE`bJUaPNaUHYXNU_\ TRbZNdcKgiGjoDltXPap1JY7HGDGmE59_kGZfNYaUXX`WTgVOn\ UJuTFnUJhUNaVRWVVQVZUXWYZUa`SebQidOmfMptKleKiUKfNK\ bFK_8KX1KT3NP5PM7RI8UFAWBCY8D_g2he7fcBdbFb`J`ZOZYS\ XWWVV_USdPPhKMmEJr9Gv4HnHHgTH`dHUpGZoFbnEfmDklCokB\ sjFknIhrLmuYmhimW1nX3qW4tV5wU6zT7zS8zR9zQAzQPzYcze\ rzmlzffz`mzVrzOvzIzzCzzDzzEzzFzzGzzHzzWzzizzwzzqzz\ lzzgzzbzzYzzTzzOzzJzzQzzf } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

FOTD 26-08-06 (Total Reality [7])
by Jim Muth 26 Aug '06

26 Aug '06

FOTD -- August 26, 2006 (Rating 7) Fractal visionaries and enthusiasts: I see in the news that the planet Pluto has been demoted to the ignominious status of a dwarf. This means that what I learned in school is no longer valid. There are no longer nine planets in the solar system, but only eight. I should not be too upset about learning the wrong thing however. I also recall being taught that Piltdown Man was the missing link, and the solar system is a unique thing which formed when the gravity of a passing star pulled blobs of material from the body of the sun. I'm not sure what the astrologers, who need Pluto to make their charts work, will do now that they have lost one of their planets. Maybe I'll check the internet to see what they make of it. My own view is that we might have lost a planet, but we have gained the world of fractals. Today's image would have remained forever undiscovered if I had not calculated the fractal that results when Z^(1.1) is subtrac- ted from Z^(-1.1) and (C) is added. The odds of this particular scene ever seeing the light of day are infinitesimal, yet here it is -- today's FOTD. How could such an unlikely thing possibly have come to pass? The answer of course is that there are an infinity of almost- impossible things that can happen in the world of fractals. And unless I am mistaken, which I often am, infinity multiplied by an infinitesimal equals unity. Today's image rates a 7, and it is worth it. The scene was rendered in the traditional manner, with outside=iter and inside=0. The unusually decorative effect is a natural part of the scene, not a result of program trickery. I named the image "Total Reality" because it is totally real. The render time of the included parameter file is just over 4 minutes, but the wait may be avoided by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the completed GIF image from there. The temperature on Friday reached only 82F 28C, but the day was a bit too humid for perfection. The fractal cats didn't mind however. Their big excitement came when Nico leaped onto the table and knocked over a lamp. We forgave him. After all, it's a cat's duty to get into trouble. The day ended peacefully with tuna and cheese in the cats' food dishes. My day was reasonably relaxing. The work was finished before noon, leaving me with nothing to do in the afternoon but search for fractals. With only a few exceptions, nothing in the world is more interesting than searching for fractals. The next FOTD will appear in 24 hours. Until then, take care, and for your answers, look beneath the surface. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Total_Reality { ; time=0:04:11.42--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-1.72855285500812400/-1.644842873009020\ 00/1039023/1/152.5/-1.05321999605001437e-006 params=1/-1.1/-1/1.1/0/0 float=y maxiter=750 inside=0 logmap=73 periodicity=10 colors=00058d35R12DM4BA27513lVM_NGOFBC75fa1yA6V53h\ OKMCAOX`GMOe`CAVBmcW29GMmUBMF8w`wQmzjAi0fY0AH05X7f\ O5WG3L81AGrpCdb8RQYTSKe`7riBkkFelJZmMTn_oaRbSIQJ9D\ 9vHgbBTJ5EvGvbAbJ5Jn5VP2FsfS`SIIE9ju0Va0FJ0uIyhJh5\ wR2UDuXopBvsdNeUHSKBEA5DDc0ekq93_62I31qh0cX0RM0DB0\ XNCMF8B74zZXVHGJs7Ee59S34E1YxdHUKQ0FDSf8IS49EaxF81\ cElb9WQ4GDA1_50I0Cm08X04GxAZh7QU5HF28CkuUhEKU9AF4c\ 2GLc3EQ27D1EsFAeB7S73E3d79K34Dw7VzjFVNsEB3PH4kj3_Z\ 2ON1CBPY5IP3CH2681BS`l`n_RaOIPC9Ct2De19S16E03deGKL\ 8U9WP06gWFOE0PF3GA28511eY0LHdO3RG2D816v_4bO2JCcMFU\ GBKB7A532_P1RI1IC096xjEhZAUN7FB3ZiUHUFrUu_UaIUJ3Ui\ 1UNkw_OTIdUXUUOKUGAU8ccbUUTKUJAU9jbFNU7xt2ca1KU0Ia\ ZDUQ9UH4U8DrQ8_H4U8gUBTU7EU38WZ6YQ4_H2a8HcPBeG5h8T\ koOn9Cq4RtwIwc9zK9zh6zX4zM2zBzzdzzUzzKzzAzz4zzjzzr\ zzRzzuzzzzz7zz5zz3zz1zzozzdzzUzzKzzAzz0zz0zz0zzjzz\ VzzFzz0zz0Ez07z0izrNzRnz6 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 25-08-06 (Sub-Atomic Mystery [7])
by Jim Muth 25 Aug '06

25 Aug '06

FOTD -- August 25, 2006 (Rating 7) Fractal visionaries and enthusiasts: I checked the electron spin web page earlier today and found a reasonable explanation of what is known about the topic, which apparently is not too much. One thing for certain is that electron spin is far different than the spin of a toy top or the earth on its axis. All we really know is that electrons, what- ever they are, are involved in some kind of abstract action, which we have arbitrarily named spin. I saw mentioned somewhere that this mysterious spin might in- volve higher dimensions. I wonder about this myself. In a higher dimension as near as the fourth, there is an entirely new kind of motion known as double rotation. An object subject to double rotation must undergo any number of 360-degree turns before it returns to its starting position. The points of an object under double rotation generally trace the surface of a four-dimensional donut. But if both rotations are equal, all points except the point at the center trace circles. In dimen- sions higher than the fourth, even stranger motions are possible. In the last book I read, space, down at the level of superstrings and supermembranes, is supposed to have 11 or so dimensions, allowing for a mind-boggling variety of motions. Maybe this has something to do with electron spin. But deep inside, I feel we are missing something of immense profundity, which is staring us in the face. We are like deep sea fish who don't recognize the existence of water. The quantum world is just too strange, too alien to be a part of the intuitive reality we observe and assume exists around us. The realities conflict. I feel that something is not as real as we take it to be. What all this means is open to debate. Today's fractal however is undebatable. It is an evaporated scene in the parent fractal that results when various negative portions of Z^(-1.7) and Z^(-7.1) are combined and (1/C) is added. Being evaporated, the fractal consists entirely of trapped 'inside' points made visible by the 'bof61' inside fill. The magnitude of the scene is beyond the point where breakdown begins, making the mathtolerance entry in the parameter file necessary to assure the image is rendered at the correct magnitude. I named the image "Sub-atomic Mystery". The magnitude of 3x10^12 is great enough to enlarge atoms to everyday size. The rating of a 7 might be a bit inflated, but the 9-1/4 minutes spent running the parameter file will not be wasted. The easiest way to view the scene is to download it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it has been posted for convenience. The weather was less than perfect here at New Fractal Central on Thursday. The temperature of 79F 26C was ideal, but the sky was filled with too many clouds to call the day perfect. Since the new fractal cats, Cassie and Nico, do not go outside, they do not concern themselves with weather. But this does not mean their day was without problems. For some reason they spent most of the afternoon sulking at each other. An evening treat of tuna for Cassie and cheddar cheese for Nico took their minds off their quarrel. The work is still caught up, which made my day better than average. I expect today to be the same. The next FOTD will apepar in 24 hours or so. Until then, take care, and where does it all come from? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Sub-Atomic_Mystery { ; time=0:09:15.58--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.7456499103062/-2.77869068561652/3.04\ 4087e+012/1/17.5/0.1010712207165 params=-1/-1.7/-0\ .25/-7.1/0/1e+100 float=y maxiter=5000 inside=bof61 outside=tdis periodicity=10 mathtolerance=0.05/1 colors=0009CI9C99C0MQ6ZcBjpGbbzhWvnPstJpRniRlZRjPR\ hERf4Vd4Zb4a`4eZ4iX4lV4pT4sS4mMBhHHcBOZ6U`8Wb9XdBY\ fCZhE_eGRZEUSDXMC_OLcPTgQ`kRioSqsTyvuX5qVNmUdiTvga\ ZfiC2SBCUHLVNVWTcXZP_`AbbMJdJKbHLaFKYDJUBIQ9HM7GI5\ FE3EA1D64E77E79F7CF8EG8HG8JG8MECODGQBKTAOV8SX7WZ6_\ h5dq4hz3lt5fn7ah9XbBRXDMSEHXCFaADe8Cj6An49s27w06s5\ 7oA8kF8bLEURJLXPCbU4gZJXXXMVjBUeJX`QZWX`RccMjeHqgM\ ijQbmUWpZOsbHvfAxbGt_MqWSnTYkPcgMidIoaFuZOsYWqXcoW\ knWhhUebSbXQ`ROYLMVFKTAJP9KL8KH7LE6L15F64O34N58U6B\ W7Fa8Ic9MhAPlBTpCWsgzjizdwzZmuTguRauPXiNRkLMcJGaH4\ gHBVGIXGOUGVRGum8zmCzmGzNKLPSGQOCQK8_G4_CkJf`KcQLa\ 5FVBJSGMQMQTRTQXXTa_RYNDfbPwzTruXnq`imheil`epXasSY\ wOUzPXxQ_wRauSdtTfrUiqTnzUlqUkkUjeUhZUgTZzJjRIhQHg\ OHeNGdMGhPIlRKpTMtVOxXQmYUcZXT_`J`c9`fP_aL`WHaREaM\ AbG7bB3c60c12VK4Ma6Ds7Jk7Pd7VY8`R8fK8lD8q6DnFIkOMh\ XReeGRhBKq7Dz8Cq8Ch8C_9CR } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 24-08-06 (Atomic Nucleus [6])
by Jim Muth 24 Aug '06

24 Aug '06

FOTD -- August 24, 2006 (Rating 6) Fractal visionaries and enthusiasts: Back in my naive teen-age years, when I was just becoming familiar with the scientific world of astronomy, weather, and atoms in particular, I often wondered what an atom looks like. I soon formed a picture of the atom as a miniature solar system, with electrons orbiting the nucleus like planets orbit their stars. The nucleus seemed to me to be a boiling mass of protons and neutrons somewhat resembling a pot of boiling liquid. It all made a kind of sense. When a radioactive atom decayed, it was because a proton had escaped the surface of the boiling nuclear liquid. I felt that if I could shrink myself small enough, I could actually observe these atomic things taking place. I wondered whether atoms actually might be miniature solar systems with galaxies, stars and planets, like in the story about a shrinking man which I read about that time. Then I started reading more serious books about the sub-atomic world and the quantum. I came to realize that whatever is actually down there is so far removed from our everyday experi- ence that it can be best described only approximately by math- ematical expressions. To attempt to picture a physical reality corresponding to the quantum math is a futile endeavor. I now know that protons and electrons are not 'things' in the sense that tables and chairs are things. They are ideas, mental models that happen to work reasonably well. In a sense, we create them along with their attributes when we describe them. This is well illustrated in the case of an electron, which is said to be both a potential wave and a potential particle with a spin of 1/2. Such a spin means it would need to undergo two complete 360-degree rotations before it would present the same face to a hypothetical observer. Unless an electron is some kind of single-sided Mobius object, which must be turned 720 degrees before it returns to its original position, the elec- tron's attributes would appear to be impossible. Electrons may appear impossible, but it would be interesting to see what a person would observe if an electron were enlarged to the size of a basketball. Of course, if electrons are mere points, enlargement is meaningless. By contrast, fractals most certainly are not only possible, but have actually been observed in full graphic representation. Unfortunately, so far at least, fractals such as the Mandelbrot set have been seen only as computer-generated photographs. Today's photographic image of a fractal has been named "Atomic Nucleus". The central midget reminds me of a nucleus, while the surrounding elements could be seen as electrons. The image is a scene in the parent fractal that results when Z^(-1.75) is subtracted from Z^(1.75) and (1/C) is added. In this case the parent fractal could more accurately be called the parent debris field. It is little more than a scattering of fractal debris. But that debris is filled with countless midgets, one of which lies peacefully at the center of today's frame. The rating of a 6 seems appropriate. Rendered as it is with the outside set to 'iter', the image does look a bit under-detailed, but in this case the under-detailed version is the best. The other outside options give so much detail that the result is more chaos than fractal semi-order. The image is a fast one, which renders in 2-1/2 minutes on my P200 machine. Equally brief if not briefer is the time spent downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> What a waste! We had another absolutely perfect day here at New Fractal Central on Wednesday and the new fractal cats didn't even care. They spent the day chasing each other up and down the hall and getting into other various and sundry trouble. My day was spent doing various odd jobs between the times I was doing fractals. If all goes well, and why should it not, the next FOTD will appear in 24 hours. Until then, take care, and don't be nucular, be nuclear. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Atomic_Nucleus { ; time=0:02:30.66--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.39532679744866780/+0.594877164365430\ 40/3.945085e+007/1/40/-1.05442878494538261e-006 params=1/1.75/-1/-1.75/0/0 float=y maxiter=500 inside=0 periodicity=10 colors=000sh2th2th2rg3qf3pe3od3mc3lb3ka3j`3h_3gZ3f\ Y3eY3eY3dX3bW3aV3`U3_T3YS3XR3WQ3VP3TO3SN3RN3QM3PL3\ NK3MJ3LI3KH3IG3HF3GE3FD3djKbhJagI`eH_dHZbGYaFX`FWZ\ EUYDPAmPAjPAgPAdKAaHAZDAWBAQAAMBAICBEDCAED5FE3k7tf\ 8mb9fZA_VAUQBNMCGID9GzzFxxFvvFutFsrFqpFpnFnlFljFkh\ FifFgdFfbFd`FbZFaXE_VEYTEXREVPETNESLEQJEOHENFELDEJ\ BEI9EG7EE5q`jmZfjXcgV_dTXaRUZPQWONTMJQKGNIDKG9HE6s\ rVrqUqpTpoTonSnmRmlRlkQkjQjiPihOhgOhgNgfNfeMedLdcL\ cbKbaKa`J`_I_ZIZYHZYHYXGXWFWVFVUEUTDTSDSRCRQCQPBPO\ AONAON9NM9ML8LK7KJ7JI6IH6HG5GF4FE4ED3zjYvgVrdTnbQj\ _OgXMcVJ_SHWQETNCPKALI7HF5s`7r_6q_6pZ6oZ6oY6nY6mX6\ lX6lX6kW6jW6iV6iV6hU5gU5fU5fT5eT5dS5cS5bR5bR5aQ5`Q\ 5_Q5_P5ZP5YO4XO4XN4WN4VN4UM4UM4TL4SL4RK4QK4QJ4PJ4O\ J4NI3NI3MH3LH3KG3KG3JG3IF3HF3HE3GE3FD3ED3YK7XJ6XJ6\ WJ6WJ6VJ6VJ6UI6UI6TI6TI6SI5SI5RH5RH5RH5QH5QH5PH5PG\ 5OG5OG5NG4NG4MG4MF4LF4LF4 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 23-08-06 (Garden of Rings [6])
by Jim Muth 23 Aug '06

23 Aug '06

FOTD -- August 23, 2006 (Rating 6) Fractal visionaries and enthusiasts: The big job went out on schedule this morning, and the customer is happy. The most recent rush has ended and the FOTD has returned. I would like to guarantee that this interruption will be the last in the FOTD series of images and discussions, but I have not yet learned to see the future. To celebrate the re-appearance of the FOTD we have gone to the fractal that results when Z^(-1.5) is subtracted from Z^(1.5) before (1/C) is added. This fractal is little more than a single small Mandeloid surrounded by scattered bits and pieces of fractal debris. Today's image is located in a rudimentary valley of one of these tiny bits. I rated the image at a 6, though I could easily have chosen a rating of 7. I settled on the 6 because much of the image's effect was achieved by rendering the scene with the outside set to 'fmod'. The basic scene is really quite bland. I named the image "Garden of Rings". The rings were created by the 'fmod' option, which draws a series of overlapping bands and rings, usually centered on points of interest. This option is also the simplest way to find hidden midgets, especially in the Mandeloids with exponents of Z between 1 and 2. IMO, the render time of 6-1/2 minutes is reasonable enough, but individual opinions of what is reasonable may vary, so in addi- tion to rendering the image from the included parameter file, the image may be seen by downloading it from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> My philosophical ideas are taking shape, but are not quite ready to be made public. After all, radical ideas demand radical thought and preparation. Very pleasant but very dry weather continued all day Tuesday here at New Fractal Central. Conditions are approaching drought status, but the new fractal cats did not even notice. They spent the day playing under an old afghan which I spread on the living room floor for them. My day was pretty much occupied with cleaning up after the big rush of the past week or so. Hopefully, such rush jobs will not arrive too often, though I certainly do not want them to totally vanish. The next FOTD will arrive in 24 hours. That is almost but not quite guaranteed. Until then, take care, and how would it be possible to prove that the universe is not real? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Garden_of_Rings { ; time=0:06:27.12--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.18116619808723830/+0.390853245407780\ 80/1.034841e+007/1/162.5/3.31205395526223967e-007 params=-1/-1.5/1/1.5/0/0 float=y maxiter=1200 inside=0 proximity=0.8 outside=fmod logmap=yes periodicity=10 colors=000zzzwyvtvrqwmnvhkuhkshjqhjoijmjikjiikigli\ flhemhgmhhngjogkogmpfnqfpqfqressetsevtfwsgxshyrizq\ jzqkyvjwtivrhupgtnfsleqjdohcmfbkdajc`ha_g_ZeYYcWXa\ UW_SVYQUWOTUNSTLRSJPRHNQFLPDJOBHN9FM7FL3FK6GJ5HI6I\ H7JG7IF8GE8FD9EC9CBABAA99B88B87C76C75D64D63E72B61C\ 62D64E66F88GAAHCCIEEIGGJIGKJHLLIMMJNNJOOKOPLPPLQPM\ RPNSPNTPOUOPUOQVOQWORXOSYOSZOT_OU_OU`OVaOWbNXcNXdN\ YeNZeNZfN_gN`hN`iNajNbkMcmNblNbkNbjNbiNbhNbgNbgNbf\ NbeObdObcObbObbObaOb`Ob_ObZObYObYPbXPbWPcVPcUPcTPc\ SPcSPcRPcQQcPQcOQcNQcNQcMQcLQcKQcJQcIQcIRcHRcGRcFR\ cERcDRcCRcCRcBRcASc9Sc8Sc7Tc7Tc6Uc5Uc4Vc3Vc2Xc1Wc2\ Xc3Xc3Xc4Xc5Xc5Xc6Xc6Wc7Wd8We8Wf9Wg9YhAZiBbjBhkCol\ DumDznEzoESRFSRGSRGSQHSQHSPISPJSOJSOKSNLSNLSMMSMMS\ LNSLOSKOSKPSJPSJQSIRSIRSHSSHTSGTSGUSFUSFVSEWSEWSDX\ c3l`5hZ7eX9bVB_SDXQFUOHRK9JLCLLEMLGNMIOMKPMNQMPRNR\ SNTTNVUNXVO_XOaYmGbmHcmJc } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

The FOTD is coming
by JimMuth＠aol.com 20 Aug '06

20 Aug '06

Frantic Fractal and Philosophy Fans: Do not lose faith. I have not burned out; I have merely been very busy. But the job that is causing the rush will be delivered the morning of Tuesday the 22nd, giving me ample time to settle down and prepare the FOTD for August 23. So praises be to the powers that be. The FOTD will resume in only three days, on Wednesday. As for the consciousness thread currently threading its way around the philofractal list, I will have much to say. I find the topic of self-awareness one of the most interesting topics facing man. Not only do we have no idea where it comes from, we don't even know what it is, and we can't even agree on how to define it. Maybe self-awareness is a great illusion -- nothing that comes from nowhere. And if this is so, we may define it any way we wish. Jim (the probably conscious) Muth

1 0

Re: [Fractint] Re: Mark and WinDoZe 98
by RENRAD1＠aol.com 16 Aug '06

16 Aug '06

In a message dated 7/13/06 6:46:25 PM Pacific Daylight Time, Paul.N.Lee(a)Worldnet.att.net writes: if you can find it somewhere, this might be a solution for a while. At least until you can finally upgrade. Thanks very much, Paul, I'll go 'mining for legacies' and see if the version is around. Cheers! peter S.

8 12

FOTD 14-08-06 (No Rating)
by JimMuth＠aol.com 14 Aug '06

14 Aug '06

FOTD -- August 14, 2006 (No Rating) Fractal Visionaries and Enthusiasts: The work is still quite heavy, and is likely to remain so until Friday. I would like to add a few comments to the self- awareness thread on the philofractal list, but I simply have no time for it. Today's super-quickie FOTD is a scene in the Mandelbrot set. It is neither named nor rated. How could I name or rate an image that took less than 2 minutes to find and only 44 seconds to render, on a 133mhz machine at that. With an image that calculates in only seconds, it will hardly be necessary to download the completed image from the FOTD web site. The next FOTD will probably appear in 24 hours. If not, it will appear in 48 hours. Until then, take care, and would the thing that is really me please stand up. jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE==================================== FOTD_for_14-08-06 { ; time=0:00:44.76--SF5 on a P133 reset=2003 type=mandel passes=1 center-mag=-0.83813606165334340/+0.205104606479810\ 50/1.054919e+010 params=0/0 float=y maxiter=2500 inside=0 logmap=497 periodicity=10 colors=0006VN6UL6TI6SG5RD5QA5P85O55N3vABsACpADmAEj\ AFhAGeAHbAI_AJYAKVALSAMPANNAOKAPHAQEARCAS9AT6AU3AV\ 1AW4CV6DU8FUAGTCITFJSHLSJMRLORNPQPRQSSPUUPWVOYXO_Y\ Na_Nd`MfbMhcLjeLlfKngKoeNpdQqcSrbVs`Yt__uZbvYewXgo\ abhfZajUVoQOsMNpUNmaMjiMhpOjnQklSljTmiVngXoeZpd_qb\ ar`cs_etYfuWhvVjwTlxRmyQodxncumbslaqk`oj_miZkhYigX\ gfWdeVbdU`cTZbSXaRV`QT_PR_HC_LJ_PP_TV_X`__f`Ye`Xe`\ We`Ue`Te`SeaRdaPdaOdaNdaMdaKdbJcbIcbHcbFcbEcbDc_7j\ aAfbCccE`dGXeIUfKRhMNiOKjQHkSDlUAyS1sU4mW7gYAa_DWa\ GQcJKeMEgP7eR8gS8hS8iT8jT8kT9mU9nU9oU9pV9qV9rVAtWA\ uWAvWAwXAxXAyXBvVBtUBqTBoRBmQCjPChOCfMCcLCaKC_JDXH\ DVGDTFDQEDOCDMBEJAEH9EF7EC6EA5B72E84H95J97MA8PAARB\ BUCDXCEZDGaDHdEJfFKiFMlGNnGPqHQtAKsEOsHRrKVrNYqQ`q\ TdpWgpZjoanodqogtbecPePQcOQbORaOR`OS_OSZOS_OTaOTcN\ UeNUhNUkNVnNVqNWtNWwNXzMXzMXzMYzMYzMZzMZzM_zJZzMZz\ PZzSZzUZzXYz_7zY7zV7zT6zQ } END PARAMETER FILE======================================

1 0

FOTD 13-08-06 (FOTD for 13-08-06 [4])
by JimMuth＠aol.com 13 Aug '06

13 Aug '06

FOTD -- August 13, 2006 (Rating 4) Fractal Visionaries and Enthusiasts: The super rush continues here at Fractal Central. This is the kind of stuff that tempts me to retire from the over-manned and under-appreciated world of graphic design to a leisurely life of philosophizing and fractalizing. Unfortunately, finding frac- tals does not pay nearly as well as designing and laying out pages for printing, so I guess the retirement will have to wait a while. Today's image is another one I found almost with no effort. As such it rates a rating of a humble 4. The parent fractal was created by combining Z^(-1.5) with 0.3 part of Z^(-6.5) before adding (1/C). The only thing unusual with the image is that it was calculated with the outside set to 'tdis' rather than the more routine 'iter'. Seeing nothing in it worthy of a name, I gave the image no name. The render time of 5-1/4 minutes is true on the venerable 11-year-old P133 machine that was the business work-horse all those years ago, when the previous 80486 unit was just learning its fractals. Those who do not render fractals may see the image by visiting the FOTD web site, where it is posted. The weather has been near perfect here at Fractal Central the past two days. Only a bit too much chill for mid August kept it from being absolutely perfect. The fractal cats delighted in their indoor play and their food. Not being permitted outside, they remain unconcerned about the weather. If the present trend continues, the next FOTD, another mediocre one, will appear in 2 days. Until then, take care, and if we have bodies, souls and spirits, what are these mysterious "we's" that possess all these things? jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE==================================== FOTD_for_13-08-06 { ; time=0:05:16.26--SF5 on a P133 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.49678595089231100/+0.770556891343006\ 90/23723.23 params=1/-1.5/0.3/-6.5/0/0 float=y maxiter=400 inside=0 outside=tdis periodicity=10 colors=000ekOfkMhkKikIjkGmp7kkEigKgbRfZXdVcbQi`Mpv\ p3_IvaGnbEfcC_dASd7Je8Lf8Ng8Pg8Rh8Si8Uj8Wj9Yk9_l9`\ m9bm9dn9fo9ho9iiFfcKcYQ`SVYM`VHeTLhWOjYSl_VnaUo_To\ YSoWSoURoSQoQQpOPpMOpKOpINpGMpEPEYMpCNoBNoAOo9Oo8P\ o8Pn7Qn6Qn5Rn4Rn4Si7Te9TaCUYEVUGVQJWMLXINXEQYASb4W\ Y6UU7SP9QLAOHCMCDK8FI2BF4GH5KJ7OK8SMAWOB_PDcREgTFk\ UHjZJicHfmLhgPibTjXXkS`lMdmHhnBlo6op1gf6_XATNFLDJD\ 1LE3NE4OE5QE7RE8TE9UEBWECXFDZFF_FGaFHbFJdFKeFLg9On\ FMhLLbQKXOIZNG_MEaKCbJAdI8eM9dP9dT9dWAd_AdbAdfBdiB\ dlBdiAcfAbc9aa9`Z9_W8ZT8YR8Ysrgqqeopdnpbloajn_inYg\ mXelVdlTbkS`jQ_jP`hO`gN`fNaeMadMabLbaLb`Kb_JcZJcXI\ cWIdVHdUHdTGdSGeQIfPKgOMhMOiLQjKSkITlHVmGXnEZoD`pC\ bpBcpA`p9Yp8Vp8Tq9LrAEsB7gJDXRJMZPBfV0n`7bZDRYKFXQ\ 4WULPYaIarB`oG`lL`iP`fU_cZ_`b_Yg_VkaaqbhwSW_IJCMIA\ PI9SI8VI7ZI6aI5dI4gI3jI2gK3eM4cO4aQ5_S6YU6WW7TY8R_\ 8Pa9NcALeAJgB`kXakVbkTdkQ } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE======================================

2 1

Re: FOTD
by jackoftradez＠comcast.net 13 Aug '06

13 Aug '06

It's cool Jim is back at it with FOTD, I thought his cats had him for breakfast. It's even more cool he's going deep again. Deep is where it's at! E+27 is beyond the Universe so it's cool enough. The image FotD_06-07-31 is very good, the journey into it is very interesting also, so I am doing a ZooM in +color cycling. Looking way awesome sofar; I will post it when done. Stay Cool Didn't I tell you 2006 was gonna get hot!? Real hot. Ain't it? Check out the heat wave here and in the Mid East. Violence! Gottaluvit!

4 3

FOTD -- 11-08-06 (FOTD for 11-08-06 [4])
by JimMuth＠aol.com 10 Aug '06

10 Aug '06

FOTD -- August 10, 2006 (Rating 4) Fractal Visionaries and Enthusiasts: Today's FOTD could be dated either the 10th or the 11th. If it is the 10th, it is very late; if it is the 11th, it is quite early. Due to a huge load of work, which will keep us busy until Tuesday, this irregular FOTD schedule will prevail for about 5 more days. Until then, expect only very simple and fast images, and few words, if anything at all. Today's image for example, is an 'evaporated' scene in the fractal that results when various negative portions of Z^(-1.4) and Z^(-7) are combined, and (1/C) is added. I gave the image a rating of 4, and no name. It deserves no name. Its likes have been seen too many times in past FOTD images. The render time of 4-3/4 minutes is true on the oldest machine in my possession, a P133. The P200 is busy on a long- term fractal. The weather today here at Fractal Central is cloudy and humid, with rain threatening. The fractal cats are in a sulky mood. Apparently we have been giving them far too little attention this morning. The next FOTD will appear soon. But with things so hectic, I am not ready to make any promises when. Until the next time, take care, and do it right with a fractal. START PARAMETER FILE==================================== FOTD_for_11-08-06 { ; time=0:04:41.44--SF5 on a P133 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.4032923124018/-2.2060486979327/267\ 618.7 params=-0.5/-1.4/-0.05/-7/0/1e+100 float=y maxiter=1000 inside=bof61 periodicity=10 colors=000bWLeZQhaV1ACDIIPQO`YUI96QHEXPLdXTSsmakfN\ dpEfp6gpHO6DWNAcb7jrD`dJSSPIEU91lqX_cPORICDB004idd\ OLKE7YQJZ`U_5JEk6FkIMkUTAF3E9pPeDLgLSfPZeTedX`2mTi\ BbfOrP9oVIm_RATM1_PPbVEzBNtIVoOciUKVYUZZba_LFp4_EF\ aKQbP`cVXpM`mQdjThgXnH64HJJPPYXVzjorgg487VechT0jZI\ _7e4D_JN_YW_Zcocdigdd`rtfki5PBGTIRXOa`U9CT2WEIZMXa\ To2TmMX4QXBNyLSrUWlb`eiR6jYLHMaPR`XW`d`_GRURWWa`YE\ `hNaeVbccca1cGPTVXXXd`ZTYNLbQZcVoux6aVKbXYcZO2sUY1\ Ovm_mfc01gLJZoxeikQ4NYHSdTWEcZVd_RHOaTUBhgOfd_eaX0\ C`BIdLOhVUz`5rbL3je3sCQkOi_wHOB1oePibMCQTKTZRVeYYL\ kgZgca1VeTegXci`a`b6fcLxlxsioofgBHLUTT3TQIXUX`XRYd\ X_baaafc`KMdt0`qB_oL_mV_povnlpmijlfdeDvgNniWfD8qPJ\ k`Ue4eaQd`7BPv4CsEIpNOmWUI6nQFjXOfdXbSY3aaKLB1SJAZ\ QJeYSi70jG9jOIkXR0qiGleWhbxEmsNhoWcBmyUhlCN0LS9UWI\ b`RT6cbOaivjjqgjmdkhaOjBWhKcfS66rROhGwLRpQajVntodq\ EhjPZLASGCaTO9jgMhdZfaZSG } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE======================================

1 0

FOTD 09-08-06 (In a Remote Valley [7])
by Jim Muth 09 Aug '06

09 Aug '06

FOTD -- August 08, 2006 (Rating 7) Fractal visionaries and enthusiasts: Today's FOTD image takes us to the fractal that is created when various negative portions of Z^(-1.7) and Z^(-5.7) are combined and (1/C) is added. This parent fractal consists of a sprawling area of filamentary threads and loops, with two large open Man- deloid bays. Today's image lies in a valley of the smaller and westernmost Mandeloid. Judging by the pattern around the midget, the valley appears to have a mixture of Seahorse and East Valley nature, with maybe a slightly stronger East Valley nature. But the brain-like features usually associated with East Valley are anything but brain like. They look more like a carnival booth surrounded by energetic lightning, or perhaps the brain of a super-genius. The rating of a 7 seems about right for today's fractal. The name "In a Remote Valley" describes the location of the fractal in its parent. The render time of 7-1/3 minutes is brief enough to avoid total boredom, but still long enough for hints of impatience to arise. These twinges of impatience may be avoided by downloading the completed image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The absolutely perfect weather here at Fractal Central on Tues- day raised hopes in the fractal cats of going outdoors. Unfortu- nately, those hopes were dashed and the duo had to settle for an afternoon of playing with and finally wrecking the daily news- paper. In the evening, Nicholas enjoyed his treat of New York sharp cheddar cheese, which he prefers to tuna, while Cassie satisfied herself with a simple dish of tuna. Tuesday was uneventful in my department, though I expect the next week or so to be quite busy. So do not be surprised if the FOTD for tomorrow fails to appear when it should. In fact, we might miss a couple FOTD's between now and August 16. Until the next time, take care, and the answer to the riddle of the uni- verse might be encoded in the depths of these fractals, if only we had the eyes to see and recognize it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= In_a_Remote_Valley { ; time=0:07:20.17--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=-4.18830987486114400/+0.000416188078869\ 31/1.018562e+008/1/-130/0.00156198395227589298 params=-1/-1.7/-0.2/-5.7/0/0 float=y maxiter=2400 inside=0 logmap=277 periodicity=10 colors=00088SCBTGDULHXQLZUP`ZTbcXdg`fldhphjslmvppw\ tsyxvzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzhNWjR`lVdiXcfYbdZaa_`_`\ _XbZVcYSdYQeXNfWLhVIiUGjTDkSBlSMZU`vHr4nQM1SMCUMMU\ IwrYvlVofSh`PaZf_2XGHNO62WJCWqffi_bbTZP4WTDWNYzQVr\ SSjUPbWupWiiWYbY0PXBTTHAegQ`XTuVWhQWShMTbPUXRVRU_R\ MYPQXNTdUV9TnLPdSwuUdh3d1B_9IVHPQPJdnQVd_z`YeYaA_Z\ GYkjBkTQcPTv4CmAJdGQ6XgDUdJRaQOZmXhgTcaP_F2kL9eRG`\ ChIMdP8EWKIWVDHfIPpmXjfWe_W`TWXQkzzczzzzzczzczzcKg\ HO`MSTRShX2IZAJYHKXPLW`9GSXHTULURPVOTepX``Wmgbha`d\ XZ_RX6TWF0n_YDYSNZVhYSdXQaWOZ69oJGeVqHWhMWXRhyyaej\ jcLkLYgMXcMX_MWd3Ma8P_DRYIUsQsmPmgOgaNaJZYWX4WTEWP\ N`3jZ8fYDbXIZ5cQJVTYWrqrmiggbXaZV1KHVUzWUzWUzWUzBU\ zoUzZYzIaz1ezkizlmzmqzeuzYxzQzzYzzSzzUzzyzzjzzSzzU\ zzVzzczz_zzTzzVzzhzzczz_zzwzzizzhzzdzzazzZzzqzz9zz\ pzzizzbzzZzzYzzXzz2zzAzzH } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD for 08-08-06 (Up the Ladder [8])
by JimMuth＠aol.com 08 Aug '06

08 Aug '06

FOTD -- August 08, 2006 (Rating 8) Fractal visionaries and enthusiasts: Today's rather unusual image takes us 414 levels up the logarith- mic ladder to see what the Z^sqrt(2)+C fractal looks like at that lofty height. Actually the fractal doesn't look like much. It is little more than a cut-off blob. But on the southwest edge of the blob, a distorted pseudo-Mandelbrot midget lies. Today's scene is located in what passes for the north branch of Seahorse Valley of this midget. I named the image "Up the Ladder". And why not? We had to climb 414 levels to reach the parent fractal. In my opinion, the image is unusual enough to be worth a rating of an 8. Others may rate it differently. Most of the coloring effect was achieved by rendering the image with the 'outside' set to 'atan'. This option usually creates images with far too much chaos. With today's image however, it works better than any other. The render time of a little under 13 minutes is rather slow. It will be more convenient to download the finished product from the FOTD web site, which may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a temperature of 88F 31C and high humidity, Monday turned out too sultry for human comfort, though the fractal cats, being inhuman, did not mind. They spent the day chasing each other up and down the hall. The hall is carpeted; the dining room is not. Nicholas has not yet grasped that there is less traction on a polished floor than on a carpet, and after zooming down the hall, he slid several times head first into the wall at the back of the dining room. His thick head suffered no damage. The work is still under control, which means the next FOTD will likely appear on schedule in 24 hours. Until then, take care, and walk with fractals in your eyes. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Up_the_Ladder { ; time=0:12:48.85--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.3\ 2349009137520020/-0.48489650785797940/284807.2/1/\ -20/-3.289834655e-010 params=1.4142/0/414/0 float=y maxiter=12000 inside=0 outside=atan periodicity=10 colors=000TePScORbNQaMO_LMYJLWIJTGHQFFNDEKCCJAAH98\ F77D65B4383151PAoN9kM9hK9eJ9bH9_G9XE9UD9RB8OA8L88I\ 78F58C489286183zf6vc5ra5n_4kY4gW4cU3`S3XQ3TO2PM2MK\ 2IH0EE0BB07803501Ye0Wb0V`0UZ0SX0RV0QT0OR0NP0MN0LL0\ JI0IG0HE0FC0D90B6083060040pPzjNsdLlZJeTHZNFSHDLBBE\ 597YFbSDWMCQHBJBAD5961kw0it0gr0fo0dm0ck0ah0_f0Zc0X\ a0W_0UX0SV0RS0PQ0OO0ML0KJ0IG0FE0DC0A9077054022rwAo\ uAlsAiqAfoAcmAakA_iAYgAWeAUcATaAS_ARYAQWAPUAOSANQ9\ MO9LM8KK7JI6IG6HD5GA4E83C638426214104De3Cc3Cb3Ca3C\ _3CZ3CY3BW3BV2BU2BS2BR2BQ2AO2AN2AM2AL1AJ1AI1AH19F1\ 9E19D19B19A089067056045033022011zwtwsqronmkkhgiccf\ _acY_aVYZTWWQUTOSRLQOJOLHMJEKGCID9GA7E84C52A29Nw8M\ r7Ln7Ki6Je6Ia5HX5GU4FR3EN3DK2CG2AD18A166043eV0cU0a\ T0`S0ZR0YQ0WP0VP0TO0SN0QM0OL0NK0LJ0KJ0II0HH0FG0EF0\ CE0AD09D07C06B04A03901801DOHcDF_DEVDCRDBNDlzejychw\ bfu`es_cqYaoX_mVZkUXiSVgR } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

FOTD for 07-08-06 (Squarely Chaotic [6])
by JimMuth＠aol.com 07 Aug '06

07 Aug '06

FOTD -- August 07, 2006 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a scene in the Z^sqrt(2)+C fractal as it appears 41 levels up the logarithmic ladder. (The ladder is infinite. Regardless of how far one climbs up or down it, they can come no closer to the top or bottom, for there is no top or bottom.) I named the image "Squarely Chaotic" because the exponent of Z is the square root of 2. I rated the image a 6 because I could find nothing in it that might earn a higher rating. The parent fractal consists of a large double-lobed bay vaguely resembling a termite and surrounded by considerable chaos. Since termites are bad news if they get into the house, I left the word out of the name. Today's scene is located at the inland edge of the chaos on the north-northeast shoreline of the bay. The image is not the best of all time, but the brief render time of 1-1/2 minutes means that not much effort will have been wasted if the image fails to please its viewer. And as always, the finished GIF image will soon be posted to the venerable FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another very pleasant day prevailed Sunday here at New Fractal Central on Sunday. The all-new fractal cats made the most of things by watching birds and squirrels, and stretching in the sun that comes in the front window during the afternoon. In the evening I gave them their treat of tuna, but Nicholas seems to prefer cheese (sharp cheddar only) to tuna. Maybe he was a cow in a past life. Cassie is satisfied with her tuna treat. My day was peaceful enough, but Mindspring still does not have its dial-up access under control in this area. I guess it's about time to think of a switch. The next FOTD is due in 15 hours. Until then, take care, and walk on the enlightened side of the fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Squarely_Chaotic { ; time=0:01:26.12--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=+0.2624741533\ 9993670/+1.0374591869810080/159400.7 periodicity=10 params=1.4142/0/41/0 float=y maxiter=30000 inside=0 colors=000900F00L0898`E5VI4RM1MzR0oH0b891i`EMRC`Iz\ _YCl0HV5LFCy`5lO9`BEbz0Ys0V`5SICs00j05c09X0E_0YV0S\ S0MHziusbeRSl8ef5_`4TV1O0zF9VHp0vb0b005BXxr8uc4`e0\ m0f0s0Sm0Xg0`b0eX0gb9MgT1EEEEEMMEX4HO09UL2Qz0xv0ro\ 0mg0ib0eCRP0p9HcoCXi8Rc4LY0FSFLPTPMgTJzYIf40bEClOR\ vYezfsLHOuVijL`_9RO8SrxXcTPz0Yp0Tg0PY0LyYmlMb`BSLJ\ BMCEO5Hx00l00`04rJ8c9E0SSPJsPEiP9`P4R0Bs9V0EM0IF0M\ 69i9v_4bJS0ME6cue_f_XSTSEOzb0xS0lI2`8Buz4ii9_MEOvg\ Pf`PSVPEOg`0`O4VBB`zXVYPOvpPfgPS_PERzzv000060540C2\ 0J19z40x20l10`09Xx0Tg0ST0RE9E1vJ0bl64zgjoS`bERbz2V\ XBbb0YS0VI0S880vPBSLz20x10l14`0BYrOO0I4R09J0FC0L58\ zz2Mz0Om0OX1PF98zjEpxJPb909zzrH0xL0bL`FMOHOBIT0858\ xeH0_B0T56v`BmREeIFX8H_zxXslT`bRISxzTolRfXOYFLe1``\ 0VX0RS0M0`16R5CI9J8EzP6lCCRI0PC5P89P4EBz0Fo0IY0MH9\ Cy0Hc0LJ6`08zz0mX8zzMxrLl_J`HI0Y00P08H4H8BbX0YL0T9\ 56lVC_RHOOLBL000200E08400 } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

FOTD for 06-08-06 {By Lantern Light [7])
by JimMuth＠aol.com 06 Aug '06

06 Aug '06

FOTD -- August 06, 2006 (Rating 7) Fractal visionaries and enthusiasts: As promised, today's image is a scene in the same parent fractal that held yesterday's image. This fractal has a large chaotic area located to the south and west of the main figure 8. The midget at the center of today's image lies rather deep in the East Valley of a larger midget which lies in the southwest chaos of the parent fractal. The East Valley nature of the scene is immediately apparent, even though it is partly obscured by the intricacies of the chaos in which it lies. Much of the decoration is a result of a bit of extra effort I put into the coloring. This extra effort paid off when I rated the image at a 7, a full point higher than the scene itself deserves. I can give no rational reason for the name I bestowed on the image -- "By Lantern Light". I guess I just happened to be thinking of an old-time lamp-lighter when I thought of the name. Nor can I give a rational reason why the image is so slow. The 1-1/4 hour calculation time is far out of proportion to the difficulty of the scene. An image with a magnitude of a mere 3e+007 and a maxiter of only 7200 should render in around 10 minutes, not 75 minutes. But fret not, for I have sent the completed image on ahead to Paul at the FOTD web site, where it will shortly be posted, ready for a minute or two download. The FOTD web site may ne accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Well, the suggestion of Jim McKenzie has had an effect. The drop of oil delivered through a straw to the bearings of the balky exhaust fan in the fractal computer has worked a temporary fix. The fan has been running for 4-1/2 hours without stalling once. It isn't exactly as quiet as when it was new, but it is doing its job of cooling the CPU. When the first drop wears off, I'll add a second drop. The tired old fractal computer may have a few years of life left in it after all. The absolutely perfect weather here at Fractal Central on Satur- day was appreciated from the window by the new fractal cats, who spent most of the day gazing out at the sun, trees and birds, as well as at an occasional squirrel, all the while wishing they were strong enough to go out and chase things like the other cats that they occasionally see pass by. Unfortunately, we have not yet decided to let them become inside-outside cats. Maybe we never will. If not, the duo will never know what they have missed. My day was not quite as busy as expected, which left time for today's rather slow fractal. The next FOTD will appear in 24 hours. Until then, take it easy and don't be caught without a spare fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= By_Lantern_Light { ; time=1:15:42.57--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-26.24463313208923000/-26.6363059426846\ 1000/3.186853e+007/1/97.5/5.83925919239725033e-006 params=0.7/-1.4142/-0.7/1.4142/0/0 float=y maxiter=7200 inside=0 logmap=1534 periodicity=10 colors=000E9EG9GI9IK9KN9MP9NS9PV9RX9T_9Vd4_a9WZDSW\ HPTLLQPHNTEKXAFd5I`7KX8NTAPPBRMCQH9PC6OB3NF0KG6IJB\ FNHDQMCSJBUREWSHYTK_UNaVQcWTeXWgYZiZak_dm`gnajpbmr\ coscljfibhfVjcNldOjeOhePgfPefPcgQbgQ`hR_hRYiRWiSVj\ STkTRjSSiSSiSThRThRUgRUfQVfQVeQWeQWeQWlLOsGGoFFlFE\ iEEfEDcDD`DCYCCVCBSBBPBAMAAJA9H84GA9FCDFDHEFMDHQDI\ UCKYBMbBNfAPjAQnDPoFPpHPqKPrMPrOPsQPtTOuVOvXOv_Owa\ OxcOyeOydNxcMxcLwbKwaJvaIv`Hu_Gu_FtZEtXCuZEt_FsaGr\ bIqcJpeKofMnhNniKmjKlzUkzUjzUizUhzUhzcgzmfzmdzmezm\ ezAejCegFfeIfbKf`NfYQgWSgTVgRYgP_gPXfPUePRdPOdPLcP\ JbPGaPDaPA`P7_P4ZP2ZQ6XRAVREUSISSLQTPPTTNUXLV`KVcI\ WgGWkFXoDXrCWnHWjMVfRVcWU_`UWeTTjTPoS_tSezQUzPCzN5\ mM1cL9ULHPLPRLXTKdYLcVMbTNaQO`OP_LP_JQZHRYESXCTW9U\ V7TX0UV5VT9VRDWPIWNMXMQYKVYIZZGb_Eg`CkaBmbFmcKsdPz\ eUvfZrgcnghjhmfhrbivZizVizQjzMjzIfzKczM`zNYzPVzQSz\ SPzTRzXTz_UzcWzfYziZzm`zp } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD 05-08-06 (Negative Thinking [6])
by Jim Muth 05 Aug '06

05 Aug '06

FOTD -- August 05, 2006 (Rating 6) Fractal visionaries and enthusiasts: The lateness of today's FOTD is due to a problem with Mind- spring, my ISP. When the regular posting time arrived between 11pm and midnight last evening, I could not get connected. Oh well, as they say, nobody's perfect, expecially internet service providers. Things are better this morning. (I hope.) Today's image shows one of the things that happens when 0.7 part of the negative square rot of 2 is subtracted from 0.7 part of the positive square root of 2. Actually, an infinity of things happen, but with limited time I can cover only one of them. To show that more than one thing happens, I will use the parent fractal of today's image as the source of tomorrow's image. The parent fractal resembles a grossly inflated and skewed figure 8. Today's scene is located in the vicinity of the east branch of the valley that separates the north and south lobes of the 8. This area resembles an eroded shoreline filled with Mandelbrot bays -- I think they are called radicals. The tiny midget at the center of today's image is located far out on a filament extending from the center of one of these bays. I have found that the overall nature of today's scene is quite common in fractals which combine more than one power of Z, so I could rate the image no higher than a 6. Yes, in the world of fractals, originality does count. I named the image "Negative Thinking" because it deserves a name. I can give no good reason for the exact name, other than a reaction to all the benefits of positive thinking we keep hearing about. Life is a mixture of good and bad events. Positive thinking is getting as much enjoyment as possible from the good things while minimizing the anger etc. from the bad things. Positive thinking sounds good in theory but it doesn't seem to work very well in practice. I suppose negative thinking would be the opposite. (Maybe negative thinking is what there is too much of in the middle east.) There is no problem with the render time of the included para- meter file, which is under 6 minutes, and this is on my ancient fractal-dedicated computer with the exhaust fan that needs a slice of tissue attached to blow in the wind so that I can tell when the fan stops running and must be goosed to life again. And running the included parameter file may be avoided entirely by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The perfect weather here at Fractal Central on Friday went un- appreciated by the new fractal cats, who spent the day indoors, chasing each other up and down the hallway, and getting into various other mischief. In my department, the work appears to be getting heavy. Hopefully, we will be able to keep it under control. The next FOTD is due to appear in 15 hours. If it fails to appear, you will know that the work was not kept under control. Until next time, take care, and when you need some positive thinking, think of fractals. I am positive they will ease your distress, or at least make you think your distress has been eased. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Negative_Thinking { ; time=0:05:49.33--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.17954814796951500/-0.092458505525142\ 48/2.914394e+010/1/112.5/-0.0150162000124490908 params=0.7/-1.4142/-0.7/1.4142/0/0 float=y maxiter=1800 inside=0 periodicity=10 colors=0001hMBfJLdGVcDdaAn_7xZ4feLQkaOfeMbhKZkJUnH\ QqFMtEIwIGsLEpOClRAiU8eX6b_4Zb2WW3YQ3ZJ3`D3a63c03d\ 46e88fCAgGCgKEhOGiSIiTHhTHhTGgUGgUFfUFfUEeVEeVDdVD\ dWCcWCcWBbWBbY7d_4ea1fgQjmmmlljlkglkekjbki_kiYkhVj\ gSjgQjfNieKieIidFidDffHchL`jPZkSWmWTo_QqcOrfLtjIvn\ GwqJurMtrPssSrsVqtXpt_oubnuelvhkvjjwmiwphxsgxvfyxe\ ysgvoitkkqgmocol_qjWsgSueOwcLlZIaVFRRCBNADJDFKFHLI\ JMKLNNNOPPPSRQUTRXVSZXT`ZWa`Ybb_cdadfcfhegjghliink\ jomhnmgkmehmdembbma`m_YmZVmYSmWPmVNmTKmSHmQEmPBmO9\ mIHfCO_7VTFZWNbZVf`bicjmerqhytjxsixshwrhwrgvrfvqfu\ qeuqetpdtpcsocsobroarnaqn`qn`poZppXpqWpqUorSosRotP\ ouOnvMnwKnxJnyHmzFmzEmzCmzBjzAgxAevAbtA_sAYrAVp9So\ 9Qn9Nl9Kk9Ij9HiBHhCHhEHgFHfGGfIGeJGdLGdMGcNFbPFbQF\ aSF`TF`ULZXRY_XWbbVdhTgnSjtQmyPowOpuNqtMqrLrqKroJs\ nIslGrkFqiDphCofBne9mc8lb6k`5j_4ja9hbDgcHf_ysWwoTu\ lQtiNrfKqcGo`DnYAlV7kS4iP } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

2 1

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

04 Aug '06

FOTD -- August 04, 2006 (Rating 6) Fractal visionaries and enthusiasts: Today's 6-rated image is a scene in a remote valley of the Z^sqrt(2)+C as it appears 38 levels up the logarithmic ladder. I named the image "Well-Rooted Fractal" for no good reason. The Z^sqrt(2) fractal is interesting because its midgets are unusually easy to find. They first appear much like the midgets of the Mandelbrot set, hiding between two symmetrically placed elements. Unfortunately, the patterns around the midgets in the square-root-of-two fractals have a tendency to all look the same. The pattern around the barely-visible midget at the center of today's image lacks some of this 'sameness', but it is still similar to many other images. The render time of 8 minutes is just the slightest bit on the slow side. This slight bit of slowness may be avoided however by downloading the already-rendered image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another very hot day here at Fractal Central kept all thoughts of going outside from the heads of the fractal cats. They spent the day watching birds and squirrels. For me the day was about average. If all remains average, the next FOTD will appear in 24 hours. Until then, take care, and I hear that fractal soup is delicious. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Well-RootedFractal { ; time=0:08:00.55--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 center-mag=-0.6174173528\ 2187680/-0.20187002932680840/1.964483e+009/1/2.5/\ 3.90137333446116674e-007 params=1.414213562373/0/\ 38/0 float=y maxiter=5000 inside=0 periodicity=10 colors=000fZmyN9wU7u`5tf3rm1qs0kf4fU8aHCX4GV88UC1W\ M3YW4_e5`n6TaAMQEFDI81MIGJSVGaiDjwAlvGnuMpuSqtYstc\ usivsnrlonepjZpfSqcMqKbb0sP8tNFuLMvJUwH`xFgyEetMcp\ Ubka`gi_cq`gh`j``mS`pKZaVYNeX9o926FAAKHEQOIVVL_bPe\ iTjpXow_YtPHrF0p54j98dCCZGGTJKNNOHQSCTY9Ub7Vh4Wm2X\ r0Yq2ep4mp6uk6og6ib6cZ6YU6SQ6MM6HK9FJBDIECGGA0A00F\ 0X6CRMELaUUdcafmiiumkzmnzmqzmszmuzmwzmzzmzzPHUPGUP\ GURIUTKUUMWUOTUQQUSNUUKXTI_THbTFeTEhTCkTBwT9zT8oax\ g`p`_hUZ`NYTGXL9WD2W65jwGZnROf`DZeV`jlahh_feZdbXc_\ WaWV_TTYQSXNRZRN`UJbXGd`Cmc8zf5taAmYFcUKUPPKLUDHYJ\ TdOckTnrYyxk_wxAvnCpdEkVGeLI`MKWNLRNMNONIOOEWRHcUK\ jXNiaOhfPhkQgpRfuSfzSgrUhkWicYjX_kPalIcgJ`cJYZKVVK\ TQLQMLNILLNNMRONVQNZRObTOfUPjVPhURgTSeSTdRUbQVaPW`\ OXwPbsRXpTRlVLiWFXURKSb8RnJ_aUgQdoEow2YyRHzoNxkTvg\ Ztcdr`jpXpnTulQvgNvcKw_HwVExRBxN8xJ5efraboYZmVWkRS\ iOPgRNhULhWJhZHhaFhZMWbTd } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

FOTD for 03-08-06 (A Square deal [6])
by JimMuth＠aol.com 03 Aug '06

03 Aug '06

FOTD -- August 03, 2006 (Rating 6) Fractal visionaries and enthusiasts: The parent fractal of today's image subtracts 0.1 part of Z^5 from one full part of Z^3, resulting in a small but interesting Mandelbrot set lying just beyond the left border of the opening screen. Today's image lies in the East Valley of this M-set, which is rotated 180 degrees, making East Valley actually a west valley. To add life to the image I rendered it with outside=tdis in effect. The unusually obvious square feature surrounding the central midget inspired the name "A Square Deal". When the time to rate the image arrived, I looked at it and decided it was just unusual enough to rate a slightly-above-average 6. A 6-rated fractal is nothing to get excited about, but the calcu- lation time of just over 1 minute is so short that little effort will have been wasted if the result fails to please. And the calculation may be escaped entirely by downloading the already rendered image in GIF format from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> More 99F 37C stifling heat here at Fractal Central on Wednesday kept the fractal cats glad that they did not have to go outside. It is far more pleasant chasing each other about in air-condi- tioned comfort. But when Cassie finally cornered Nico, she grabbed him and started kicking him in the head. Luckily, Nico has a thick head. In my department, the work was slow but my energy was low. The two canceled each other out. Unless the unexpected happens, as it sometimes does, the next FOTD will appear in 24 hours. Until then, take care, and walk and talk with fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Square_Deal { ; time=0:01:16.35--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-3.475760009066282/0/3.414284e+007/1/180 params=1/3/-0.1/5/0/0 float=y maxiter=3000 inside=0 outside=tdis symmetry=xaxis periodicity=10 colors=000Z6le7nfDlgJjhPiiVgj`fkfdkkcinYgpTfrNdtIb\ vCax7`x8_x9_x9ZxAYxBYxBXxCXxCWsDWnDViEVeEV`FUWFURG\ UNGTSHTXIT`JLDNSPVZ`beljlFIiyxlxrnwlqvgsuaADrYZgut\ X1Bu4Cl6Dd8EXAFPCFH0Ev6nh9ijCdlE_nHVpKQrMLtPGv72rH\ 7uRCxfwlisjkohmlfphdrebta`zbcvZZsWVpSRmPMjLIuC6gIE\ UNMGSU2X`6Sc9NeCIgNSTJb4X`FoUIlXMjZQhaUfcXdf`bhdbt\ f`jg_ahYTiXKiQUjJckDlkKfiQagXXeaUhbTfbSdbRcbQabQ``\ SY_TWZUTYVRXWOWXMC87EH8FP9GYAIeBJnCKy7KwAKvCKtEKsH\ KqJKpLGuLKoNOjPRdRV_TYUVaPXdKZjGToDNtAHkCLcEPVGTNI\ XDJaFK`GL`IM`JN_LO_MP_NQ_4IZ3Hb3Ge3Gh3Fk3Fn8LjDQfI\ WbN`ZVhXSeVQbTO_RLXPJUNHRLFPKHTPIWUJZYKabLdgMgkIrh\ JkJMfQPbWRYaUUgWPmZLs`HySQhRiaJYS4BF8HHCNJGTLJZMNd\ ORjQ_eOUpRLh8NqJPzTWEl_NbcVTgbJrh0jjAbkKY2RWlUUhXS\ eZQb`O_bMXdKUfJRhITbIUXHWSHXMGZGG_BF`GF`LE`QE`UL_U\ RZUXYUcYUiXUoWUuWUq_SncQjgPgkNcoL`rKXpNToPQnRMmTIl\ VFkXGcZHX`IQbJIdKBfL4gS5j } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

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

02 Aug '06

FOTD -- August 02, 2006 (Rating 5) Fractal visionaries and enthusiasts: Today's FOTD is 12 hours late. My excuse: the usual one about too much work. Today's little diversion takes us to the fractal that results when various portions of Z^(-2.5) and Z^(-10.7) are combined and (1/C) is added. There is little to be said about the image, which must be seen to be appreciated. Unsatisfied with the colors, I could rate the image no higher than an average 5. But its fireball speed of under two minutes on my tired old machine means that little effort is required to calculate it. I named the picture "Bits and Pieces" for no good reason. Of course, all fractals created with negative powers of Z come in bits and pieces, so the name might not be so inappropriate after all. The image is a very fast one, but for those whose computers have forgotten the good old days of DOS and Fractint, the completed GIF image has been posted in its full quasi-glory to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Extremely hot weather, with a high of 99F 37C here at Fractal Central on Tuesday kept everything subdued. The fractal cats spent the day stretched on the coolest spots they could find. I spent the day busy working. Today promises to be a repeat. The next FOTD is due in 12 hours. Check to see if it makes it. Until then, take care, and be reasonably rational. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Bits_and_Pieces { ; time=0:01:53.77--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip center-mag=-0.80009036223935020/+0.949468244886301\ 40/24082.96/1/90/3.88578058618804789e-016 params=-8.5/-2.5/2.7/-10.7/0/0 float=y maxiter=350 inside=0 outside=tdis periodicity=10 colors=000mNz5PP5QQ4SR4TT3VU3WV3YX2ZY2`Z1a`1ca1dbD\ YVOSO_LHjFAu93tD8tGCsKHsNLrRQrUUqYZq`bpdgpgkokpont\ oqxklxhhxecxb_xZVxWRxTMxQIxMDxJ9xG4xD0xC2vC3tB5sB6\ qA8oA9n9Bl9Ck89f76a64Y7GG77U79T7AR8CP8DO8FM8GK8HJB\ FHDDFGBEIACL8BN69Q57S36V14X03W32V52U72TA2TC2SE2RG2\ QJ2PL2PN2OQ2NS2MU2MV2IS6EN9IJCMGEPFHTEJWDL_COcBQfA\ Tj9Vm9XnCWnFWnIWnLWnOVnRVnUVnXVo_UiLUoYUohUokTonTo\ qTotTbsYQraDqf0pjwlSsmRpmRmnRjnRgnRdoQaoQZoQWpQTpQ\ QpQYnMemJdnLdoMdpOdqPdqQcrScsTctVcuWcuXer_fpagnchl\ fijhjhjlemmconaqo_tpYvqWxrUz1isSUdqFRmKUjOXfT_cXb_\ aeXehTjkQnnMsqJwtUlqdaooRmzHkvMhrQfnUcjYafa_ceX_iV\ WmTSqQOuOLyMNtPPoRRkTTfVVaYWY_YTa_OcaKfcFheAjf6li8\ ikAgnCepEcrG`uIZwKXyLVsOUmQUgTUbVUXXUR_TMaTGdTAfT5\ hT6gR6fP6eN7dL7cJ7bH7bF8aD8`B8_99Z79Y59X39X2CV8EUD\ GTIISNLRSNQXPPaROfVQdYSc`UbcWafY`i__laZocYreXufWqc\ Ym`_jYafWc9ZS8WR7UQ7RP6PO } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

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

01 Aug '06

FOTD -- August 01, 2006 (Rating 7) Fractal visionaries and enthusiasts: Today's image resembles a . . . well, I just don't know. I named it "Iterative Blues" on a whim, and rated it at a 7 because it's a bit on the unusual side. The image is a brief excursion into the fractal world that is created when portions of Z^(-1.4) and Z^(-7.4) are combined, and (1/C) is added. Like so many interesting fractal images, today's image is found deep in a valley of its parent. (The parent has countless valleys.) Apparently, the valley has some of an East Valley nature to it. Many of the characteristics associated with East Valleys are present in the image. The render time of 9 minutes is true on my 10-year-old P200 machine, which is basically useless on today's internet, but which loads DOS 6.22 and, as long as it continues to run at all, (which might not be too long), will run Fractint perfectly. I am a bit puzzled (and rather amused) by the ongoing fuss about S.O.T.A. Windows-XP computers and video cards that have not been told how to run DOS programs. If your present machine is over- qualified, go out and pick up an older unit that is inadequate for the internet, and dedicate it to Fractint. They are practi- cally being given away. BTW, is Fractint the last DOS program still being actively used? (Maybe not. I write my FOTD discus- sions using WordPerfect 5.1) As I said earlier, today's image renders in 9 minutes. That time may be saved by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the completed GIF image from there. With a high temperature of 91F 33F, things were a bit sultry here at New Fractal Central on Monday. The new fractal cats must have agreed. Except for Nicholas scratching around his ears, they kept their activity to a minimum. And I must keep an eye on the scratching. Nicholas could have picked up fleas. The evening treat of tuna went peacefully, with no one trying to steal the other's food. For me the day was un-notable. The next FOTD will appear in 24 hours. Until then, take care, and everything that exists is a paradox. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Iterative_Blues { ; time=0:09:03.38--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+3.90926221344914200/-0.000896083401516\ 61/203745.3/1/-45/1.64728598817109884e-009 params=1/-1.4/0.14/-7.4/0/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=10 colors=000MRcOOfPLhRIjSFmUCoV9qW7sMZpDymIscNmUSgLX\ aB`W2XhsLsMJhNHYNGVLFRJDNGCJE1nA2jB3gB4cB5`B6XB7UC\ 8QC9NCAJCEk6Dh7Df7Dc8Da8CZ9CX9CUACSABPBBNBBKCBICDh\ dUfBRbCP_CMWCKTCIQCFMCDJCYJYTITOHPKHKFGG1Vx5Qg8LSD\ slCoiClfCicCf`CcYC`VBYTBVQBSNBPKBMHBJECzXBuUBpSBkQ\ BgOBbMBYKBUIBPGBKEzv3jSigRfdQcaP`ZOYWNVTMTQLQNKNKJ\ KHIHEHEIPaHNYGMVFLSEKPDJLCIIBHFI2iH3fH4dG5aG6_F7XF\ 8VE9TEAQDBODCLCDJCEGBFE2SKUZ0SX1RW2QV3PU3OT4MR5LQ6\ KP6JO7IN8GL9FK9EJADIBiHCi`JmaFrcBvd7xp1qo6koAenF_n\ JTmNNmSHlWBl_QYUcJOq4Jn9GkEDiJBfO8dT6aY3_a1PREEGR3\ 6bCCcLIdUNebTfkZgscgiz0kx5mvAotFqrKspPuoUtgQt`MtUI\ sMFsFBs87s14UpIVqHWqGWqFXqEYrDYrCZrBZrBblBefBh`BkV\ BnPBqKBpJBoICoHCnGCmFDmEDlDDkCEkBEjAFi9Fi8Fh7Gg6Gg\ 5Gd6Fa7F_8FBJCX9EVAESBEQBDNCDLDDIECGFCDGCATtBSqBRn\ BQkBPhBOeBNbBL_BKXBJUBIRBHOmbJi`If_IcYH`XHZVGHVDLW\ CPWCTWBXWBVVGTULRTQPSVNR_ } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

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

01 Aug '06

FOTD -- August 01, 2006 (Rating 7) Fractal visionaries and enthusiasts: Today's image resembles a . . . well, I just don't know. I named it "Iterative Blues" on a whim, and rated it at a 7 because it's a bit on the unusual side. The image is a brief excursion into the fractal world that is created when portions of Z^(-1.4) and Z^(-7.4) are combined, and (1/C) is added. Like so many interesting fractal images, today's image is found deep in a valley of its parent. (The parent has countless valleys.) Apparently, the valley has some of an East Valley nature to it. Many of the characteristics associated with East Valleys are present in the image. The render time of 9 minutes is true on my 10-year-old P200 machine, which is basically useless on today's internet, but which loads DOS 6.22 and, as long as it continues to run at all, (which might not be too long), will run Fractint perfectly. I am a bit puzzled (and rather amused) by the ongoing fuss about S.O.T.A. Windows-XP computers and video cards that have not been told how to run DOS programs. If your present machine is over- qualified, go out and pick up an older unit that is inadequate for the internet, and dedicate it to Fractint. They are practi- cally being given away. BTW, is Fractint the last DOS program still being actively used? (Maybe not. I write my FOTD discus- sions using WordPerfect 5.1) As I said earlier, today's image renders in 9 minutes. That time may be saved by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and downloading the completed GIF image from there. With a high temperature of 91F 33F, things were a bit sultry here at New Fractal Central on Monday. The new fractal cats must have agreed. Except for Nicholas scratching around his ears, they kept their activity to a minimum. And I must keep an eye on the scratching. Nicholas could have picked up fleas. The evening treat of tuna went peacefully, with no one trying to steal the other's food. For me the day was un-notable. The next FOTD will appear in 24 hours. Until then, take care, and everything that exists is a paradox. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Iterative_Blues { ; time=0:09:03.38--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+3.90926221344914200/-0.000896083401516\ 61/203745.3/1/-45/1.64728598817109884e-009 params=1/-1.4/0.14/-7.4/0/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=10 colors=000MRcOOfPLhRIjSFmUCoV9qW7sMZpDymIscNmUSgLX\ aB`W2XhsLsMJhNHYNGVLFRJDNGCJE1nA2jB3gB4cB5`B6XB7UC\ 8QC9NCAJCEk6Dh7Df7Dc8Da8CZ9CX9CUACSABPBBNBBKCBICDh\ dUfBRbCP_CMWCKTCIQCFMCDJCYJYTITOHPKHKFGG1Vx5Qg8LSD\ slCoiClfCicCf`CcYC`VBYTBVQBSNBPKBMHBJECzXBuUBpSBkQ\ BgOBbMBYKBUIBPGBKEzv3jSigRfdQcaP`ZOYWNVTMTQLQNKNKJ\ KHIHEHEIPaHNYGMVFLSEKPDJLCIIBHFI2iH3fH4dG5aG6_F7XF\ 8VE9TEAQDBODCLCDJCEGBFE2SKUZ0SX1RW2QV3PU3OT4MR5LQ6\ KP6JO7IN8GL9FK9EJADIBiHCi`JmaFrcBvd7xp1qo6koAenF_n\ JTmNNmSHlWBl_QYUcJOq4Jn9GkEDiJBfO8dT6aY3_a1PREEGR3\ 6bCCcLIdUNebTfkZgscgiz0kx5mvAotFqrKspPuoUtgQt`MtUI\ sMFsFBs87s14UpIVqHWqGWqFXqEYrDYrCZrBZrBblBefBh`BkV\ BnPBqKBpJBoICoHCnGCmFDmEDlDDkCEkBEjAFi9Fi8Fh7Gg6Gg\ 5Gd6Fa7F_8FBJCX9EVAESBEQBDNCDLDDIECGFCDGCATtBSqBRn\ BQkBPhBOeBNbBL_BKXBJUBIRBHOmbJi`If_IcYH`XHZVGHVDLW\ CPWCTWBXWBVVGTULRTQPSVNR_ } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD for July 31, 2006
by JimMuth＠aol.com 31 Jul '06

31 Jul '06

FOTD -- July 31, 2006 (Rating 5) Fractal visionaries and enthusiasts: I have seen comments about the graininess of the pictures of the old fractal cats that have been posted on the FOTD web site. I realize that the pictures are rough. They are not supposed to be works of art; they are merely to show that the fractal cats I have been writing about for almost 10 years are in fact real. Part of the grain problem may be due to the graininess of the cats themselves. Being fractal in nature, they have a limited resolution that can be overcome only by a digital camera with accurate focusing and graphic computer control. This I do not yet have. The next task will be to post some grainy pictures of the new fractal cats, to show that they are real also. Then I must purchase a S.O.T.A. digital camera, and take some real pictures of the dynamic quartet. (I actually am, or was, a pretty good photographer.) There is little to be said about today's fractal image, which is a scene very deep in an elephant trunk of East Valley of the Mandelbrot set. Being well beyond the range of standard math, the image is a very slow one. It is so slow that I have sent it on ahead to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> from where it may be downloaded in a minute or so. Since scenes deep in elephant trunks are fairly common, I have rated the image at a modest 5. I gave it no name, though with tomorrow's FOTD I will resume naming the images. With a high temperature of 88F 31C, the weather was warm here at New Fractal Central today. But the humidity was not too bad. Compared to the weather back at Old Fractal Central, it was actually quite pleasant. The new fractal cats passed the day alternating between resting and chasing each other up and down the hallway. Like the old fractal cats, they appreciate their treat of tuna in the evening, but unlike the old cats, they do not settle to sleep as soon as the tuna is gone. The next FOTD will appear in 24 hours. It will likely be an improvement over today's image. Until then, take care, and don't let yourself get too grainy. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_31-07-06 { ; time=6:03:20.21--SF5 on a P200 reset=2004 type=mandel passes=1 center-mag=0.25601\ 552587723991790838021806166/-7.5399439644467108074\ 355153621e-4/4.184694e+027 params=0/0 float=y maxiter=35000 inside=0 periodicity=10 colors=000YKNVKOTKPQKQOKRLKSJKTGKUEKVBKW9KX7KY8JX9\ JWAJWBJVBJVCJUDJUEJTEJTFJSGJSKJRPJPUKRZKScKThKRmJU\ rIXsHZsGasFcsEfsDisCksBnsAps9su6zs8urAqqCmoEinGeoI\ `mHalGajFaiEbgDbfCbeBbcAcb9c`8c_7dY6dX5dU0eW4dY7cZ\ Bb`EbaIacM`dQ`fT_hXZi_ZkcYleXniXomWqpVupUrqVppVnoW\ lnWjmXhlXfkYdjYaiY_hZYgZWf_Ue_Sd`Qc`Mc_Ob`Qa`Sa`U`\ aW_aY_a_ZbaZbcYbeXcgXciWckVdmVdoUdoUdnSdjQhhKlcLmd\ AmeCmfEmgGmhImiKmjMmiOmhQmgSmfUmeWmdYmc_lc_mc_nh_n\ k`ioaeob`pcXpdTpeOqfKqeOmdShcWcb_ZacU`gXab_bYacTdd\ OfeJifEkg9jg6mh5oi4qk3tl3vn2xo1zp1sq7mqCgqHaqNWqSQ\ qXJqcKqaKn_KkZKhXKeVKbUL_SLXRLUPLRNLOMLMKLLJOLHQOG\ TQFVTEXVD_YBa`Aa`Ba_B`ZC_YCZXD_WD`XCaYCbZBc_Bd`Aea\ Afb9gcAhdCicEjaGk_IlYKmWMnUOoSQmULnRMoONpLOqIPrFQs\ 0Rr3Qq6Pp9NpCMoFLnIJmLImOGlRFkUEjXCj_Bib9he8cjKZlX\ UoVPnTKnRKmPMlNPlLRkKUjIXjGZiEXiCViATi8RiVPiaNi_Li\ YJeWKbVNZTRVRURPXNNbLL_KM } END PARAMETER FILE=========================================

1 0

Re: Fractint Digest, Vol 41, Issue 16
by jackoftradez＠comcast.net 31 Jul '06

31 Jul '06

C:\DOS C:\DOS\RUN RUN\DOS\RUN ! Sheesh! Why don't people (if you're serious about using Fractint) just get a second hand computer and install real DOS or Win9X ? All this about virtual PC and video card problems is getting old already. A little time and $100 can get you running fractint just like the good old days! Whatever.

3 2

FOTD 30-07-06 (FOTD for 30-07-06 [7])
by Jim Muth 30 Jul '06

30 Jul '06

FOTD -- July 30, 2006 (Rating 7) Fractal visionaries and enthusiasts: Oh ye of little faith, ye who did not believe in the old fractal cats, ye who need to see with their eyes before they believe, the time has come for enlightenment. I have taken pictures of the old fractal cats, Thomas and Tippy, and sent them to Paul, who has posted them to the FOTD web site. The pictures are not the best ever taken, but they are good enough to show that the old fractal cats are real and not mere entertaining fantasies. Thomas, the orange, is shown cooling himself on the walkway by the holly patch. Tippy, the tabby, is seen curled in his porch chair, totally out of this world. This is about as active as they ever get now that they are over 16 years old. The new fractal cats, Nicholas the large black shorthair and Cassie the tiny cream chartreuse, have not yet had their pictures taken. This oversight will soon be remedied. Today's image is an evaporated one, a scene in the fractal that results when portions of Z^(-0.5) and Z^(-5.5) are combined and (1/C) is added. The image consists entirely of 'inside' stuff made visible by the 'bof61' fill. This fill is the only one that works with today's particular image. With its unexpected detail, the image is unusual enough to rate a 7. I did not name it, though I did have several ideas for a name. The render time of 5-3/4 minutes is fast enough to make the calculation time worth the effort, though those with a keen sense of true value may prefer to download the image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it has been posted, along with the very-long-awaited pictures of the old fractal cats. Thomas may be found at: <http://home.att.net/~Paul.N.Lee/FotD/_THOMAS.GIF> Tippy is at: <http://home.att.net/~Paul.N.Lee/FotD/_TIPPY.GIF> The weather here at New Fractal Central in central Pennsylvania has been warm and muggy for a while, with frequent thunder-show- ers in the late afternoon. The same is expected to continue for most of next week. But still, it's not as hot as it was back at the Old Fractal Central 155 miles south of here in Baltimore. For me, things are slowly returning to normal. The new fractal cats are sitting at the front window, anxious to be let out. But the decision to let them become indoor-outdoor cats has not yet been made, so they will have to be patient. The next FOTD will appear in 24 hours. Until then, take care, and keep the faith. There might be more to it than meets the eye. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_30-07-06 { ; time=0:05:46.53--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+46.67800906092363/+32.51216039765313/\ 3.543279e+007/1/-37.5/0.100161428564064209 params=0.7/-0.5/0.1/-5.5/0/1e+100 float=y maxiter=1500 inside=bof61 periodicity=10 colors=000UZgXMnSIfNF_ICTE9L52196E437p`RjXOeTL`PIV\ MGQIDLEAFB8A75532AMb9K_8IX7HU7FR6EP5CM5BJ49G37D26B\ 248135012ixbes_boX_jUWfRTbPQYMNUJJQGGLDDHB9D868534\ 2ZAI1Kj0Gb0DV0AN06F037kN0hL0eK0bI0_H0XF0UE0RC0OB0L\ A0I80F70C50940620310tD7zzrzwoztlzqiwnftkcqh`neYkbV\ h_ScWP_SMVPJRLHMIEIEBDA89754321q40f30W20L10A0_P`WM\ XTKUQIQMFNJDKGBGD9D96A646323XmzSgzO`zKVzGOzCGz8Bz4\ 5zQEzD7zh7vd6q`5lX5gU4bQ4YM3TI2OF2JB1E719304HaJFZH\ EXGDUFCSEBQDANB9LA8J97G86E75B5494373242121ieHrlNmh\ LidJe`HaXFXUETQCPMALI8GF7CB5873431s6Ue4MS3FE17_iWX\ fUVcST`QRYOOVMMSKKPIINGFKEDHCBEA9B8686454222GelDZc\ ASW8LO5EG278h6hU4UF2FkXeaLh0Wl0Qc0LW0GO0AG0583uH2k\ E2aB1T81J5092dtZbfBY`9TW8OQ6JL5EG49A2451RIXPGUNFSL\ EPJCNHBLFAID9GB7E96B759537324112TNhQKcNI_KGVHDREBM\ B9I86D549224qj8n9sP4SQoEOkDMgCKcBI`AGX9ET8DQ7BM69I\ 57E45B3372131PriOvgPpcQk_ } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

5 5

environment space for Fractint under XP
by Tim Wegner 29 Jul '06

29 Jul '06

I received this plea for help. Does anyone have a good answer? <quote> I have been unable to get fractint to run on my XP Pro SP2 computer in a Command Prompt session. I keep getting the error R6009 not enough space for environment. I have tried several things like setting CommandEnvSize=2424 environment variable, to no avail. </quote> Tim

3 2

Things went well
by Jim Muth 26 Jul '06

26 Jul '06

Fractal fans: We're back at New Fractal Central. The vacation went well. We're still not sure exactly where we went, but it was fun not knowing what lies around the next corner. All good things must come to an end however, and the time has come to get back into the familiar old daily routine. Give me a day or two to recover my senses before resuming the FOTD, when new and greater fractals will appear. I took a few snapshots of the old fractal cats, which will be posted to the FOTD web site within a day or so just to prove they really do exist. Much better pictures of both the old and new fractal cats will be posted in the near future. Until the FOTD resumes in a couple days, take care, and wait with bated but not abated breath. Jim Muth

1 0

Re: [Fractint] Running Fractint in Microsoft Virtual PC
by nick.grasso＠nasrecruitment.com 25 Jul '06

25 Jul '06

Hi John, LOL! That's exactly how I felt when I first typed FORMAT C: I don't have anything against stiff drinks, but you probably already know that Windows XP would NEVER allow you to format your real C: drive, assuming that is the drive that XP boots from. Keep your courage up - you're almost there. Nick ----------------- Original message: Thanks Nick, I'm installing Virtual PC from a FreeDos ISO and all works just as you describe. I have a virtual C: drive and a virtual A: drive, HOWEVER. When faced with : "Format C:\" my fist froze. Tried to hit "Enter" and my paralysed finger quivered, but wouldn't do it. No matter how I told my fingers that this wasn't the *real* C-drive they just went on strike. I am therefore very encouraged by your success. Perhaps I'll try again after a few stiff drinks. :-) John W.

1 0

Running Fractint in Microsoft Virtual PC
by nick.grasso＠nasrecruitment.com 25 Jul '06

25 Jul '06

Dear Fractinters, Here is my mini-tutorial on installing Virtual PC on Windows XP to run Fractint. This really isn't very difficult to set up. The only hard part is remembering how to install DOS after all these years. Once you have it set up, running Fractint is easy. However, there is one big caveat: Fractint will run much slower than on native DOS. Nick Using Microsoft Virtual PC 2004 to run Fractint ----------------------------------------------------------- 1. First of all, you will need a bootable floppy or CD with some version of DOS. Or an ISO image of same. Virtual PC officially supports DOS 6.22 but most any version of DOS should work. 2. Download Virtual PC from http://www.microsoft.com/windows/virtualpc/default.mspx 3. Unzip the download and run setup.exe to install. 4. Setup a Virtual Machine. When you first run VM, it will bring up the New Virtual Machine Wizard. Answer the questions in the wizard as follows: > select 'Create a virtual machine' > specify the directory\name, e.g., DOS622.vmc > select 'MS-DOS' as the operating system > allocate 32Mb of RAM (this is the default) > in Virtual Hard Disk Options, select 'A new virtual hard disk' > specify the directory\name of the virtual hard disk, e.g., DOS Hard Disk.vhd (this virtual disk seems to be 2Gb - note that it is not partitioned or formatted - see Install DOS below) You should now have an icon in Virtual PC Console saying 'DOS622-not running' 5. Install DOS on your virtual hard drive. (This is how I installed DOS 6.22 from a bootable floppy, see Notes below for other methods) > put your DOS diskette in drive A: > start Virtual PC Console, highlight your vm, then hit the Start button > this will 'boot' your floppy to an A> prompt, inside the vm window of course > at this point you will install DOS as if you were installing it on a new PC with an empty hard drive; this is what I did: > run FDISK to create a partition on the virtual hard disk > FORMAT C: to format the virtual hard disk > SYS C: to make the virtual hard disk 'bootable' > copy files from A:\ to C:\DOS Remove the floppy and select Action -> Ctrl-Alt-Del. This should 'boot' your vm from your virtual C: drive to a C> prompt. 6. Install Virtual Machine Additions for MS-DOS. This makes your DOS vm much more useful. For example, it allows the vm to share folders on your real hard drive, integrates the mouse pointer, etc. It says it supports MS-DOS 6.22 but I'm sure it will work with other versions. > start your DOS vm if it isn't already running > go back to your Windows desktop, run Windows Explorer, and find the file 'DOS Virtual Machine Additions.iso' which will be in a directory called \Virtual Machine Additions under the dir you installed Virtual PC > drag this file to the floppy disk icon on the status bar at the bottom of the vm window - this will open an A> prompt > enter DOSADD at the A> prompt to install the additions > right click on the floppy disk icon and select 'Release...' > select Action -> Reset to 'reboot' your vm 7. Configure VM Additions After you install the additions, there will be more options under 'Settings'. Some of the settings you can only get to when the vm is running and others only when the vm is not running. To set up a shared folder: > start up the vm > be sure you have a line 'LASTDRIVE=Z' in config.sys although I think the additions may automatically put it there > select Edit -> Settings > highlight the Shared Folders setting then click the Shared Folder... button > for example, you could share C:\Fractals as F: > if you are using an sstools.ini file for fractint, be sure to change any references, e.g. from C:\Fractals\Fractint to F:\Fractint 8. Run fractint! Open your vm and run fractint as you would under DOS, e.g: C>F: F>CD\Fractals\Fractint F>Fractint Of course you can put the above in your autoexec.bat. NOTES ----- > Getting help. The chm help file that comes with Virtual PC is good. Also, the Virtual PC web site has an active forum. One of those two should answer most questions, but you can contact me if you have any questions. > Performance. Your DOS vm will be able run fractint and most all of its functions, including color cycling. You will also be able to run many (but not all) DOS games that otherwise wouldn't run on Windows. However, it will be quite a bit slower than running from native DOS. The vm will also eat up a lot of CPU cycles on your 'real' PC. > Installing operating systems from CD or ISO. I haven't tried this, but I think to install from an ISO, just drag the ISO file to the CD or Floppy icon at the bottom of the Virtual PC Console. To create an ISO, WinImage (http://www.winimage.com) is a good program. > Configuring DOS. While I was setting this up, all those long-forgotten issues with setting up DOS came back to me like a bad dream. I once again had to deal with upper memory managers, extended/expanded memory, config.sys, autoexec.bat, etc. Actually, Fractint doesn't need a lot of tweaking but if you want to squeeze out every bit of memory for running DOS games, etc., here are some tips: - Installing the VM Additions for DOS puts a bunch of stuff in Autoexec.bat and Config.sys and doesn't load them into upper memory, so you will have to do this - I don't think QEMM (the old 3rd party memory manager) works in Virtual PC, but there is a free one called UMBPCI that works fine: (http://www.uwe-sieber.de/umbpci_e.html) - If anyone has trouble with this, I could send them my configuration > Changing video modes. Virtual PC emulates the S3 Trio 32/64 PCI video card. Therefore, Fractint thinks it is using that card. I suppose you could run MAKEFCFG.EXE but that isn't necessary. All the 256 color VESA Autodetect modes work (SF6, SF7, SF9, etc.) If you are running Virtual PC in a window, it doesn't acually switch your real video card into that mode. For example, if you are running your Windows desktop at 1024x768 and run fractint at 640x480 in vm, you get a 640x480 window on your 1024x768 desktop. If you tell fractint to switch to 800x600, the vm will just resize the window. If you change fractint to 1280x1024, which is bigger than your desktop, it will create a scrolling window. You can switch Virtual PC into full-screen mode where it does seem to switch your video mode, for example, to 1280x1024. I haven't yet found the right register settings for 1600x1200 however.

2 1

Things are going well
by Jim Muth 23 Jul '06

23 Jul '06

Fractal fans: We are thoroughly enjoying our vacation, and will be a few days later than planned getting back to business. We have gone no place in particular, but have been wandering aimlessly around north central Pennsylvania, taking it easy in the enjoyable places we stumble upon. The big news is that I have finally taken pictures of the old fractal cats, Thomas the orange and Tippy the tabby, who some believed are not real. The first two pictures are not that great, but they will soon be posted to the FOTD web site. Much better pictures of the old dynamic duo, as well as the new dynamic duo, will soon follow. As things look now, the next FOTD will appear late this week. Until then, take care, and keep your fractals dry. Jim Muth

1 0

Re: [Fractint] A request to ATI Radeon VE display adapterusers reFractint.
by nick.grasso＠nasrecruitment.com 21 Jul '06

21 Jul '06

Kim Hagar wrote: >>>Hi, Nick! I've been working trying to get higher resolutions with my computer, too, and I have not had any luck. Mr. Paul Lee and several others have been VERY generous with their time, but I am afraid I may have worn out my welcome! Just wondering if you can tell me more about how to run Virtual PC- I already downloaded it, but what do I do with it, to set it up so that it will run Fractint?! I hate being such a dummy! I actually work Helpdesk for a large corporation, but I don't do ANYthing like this! I just love my fractals, and would like to be able to print them in a larger format.<<< Kim, I will try to download and install Virtual PC this week and report back to the fractint list with a mini-tutorial on how to set it up and run fractint. It's been so long since I installed the old Connectix version that I really don't remember what was involved. I don't remember it being very difficult but I'm sure there are a few sticky points. >>>Oh! ONE more thing- do you think, if i run Virtual PC, the best environment would be Win98? Already worrying about where I'd find a copy, before you even answer!<<< If you mean the guest system, then NO! Fractint was written for DOS, therefore you want to run it in DOS, not WinAnything. I think that Virtual PC still comes with a pre-installed DOS guest. Nick

3 3

Re: [Fractint] A request to ATI Radeon VE display adapter users reFractint.
by nick.grasso＠nasrecruitment.com 20 Jul '06

20 Jul '06

Regarding the issue of running Fractint on Windows XP, Microsoft recently annouced that Virtual PC is now free. If you cannot get Fractint to run directly on XP, it WILL work on Virtual PC. You can download it here: http://www.microsoft.com/windows/virtualpc/default.mspx It is really quite a slick program. Once you have it set up you, you just click on an icon on your desktop and it opens up a DOS window (and automatically runs Fractint if you put it in the Autoexec.bat). The only problem is that it is much slower than running from native DOS. But slow is better than nothing. Actually, I am still running the older version by Connectix before Microsoft bought them. I think the latest version is a bit faster. Now that it is free, I will download the latest version and let you all know how it goes. Nick

4 3

Re: [Fractint] A request to ATI Radeon VE display adapter users reFractint.
by nick.grasso＠nasrecruitment.com 19 Jul '06

19 Jul '06

Paul N. Lee wrote, regarding Microsoft Virtual PC: >Of course, this is for those that do not have the Home Edition of >Windows-XP. The Microsoft Virtual PC 2004 Service Pack 1 basically only >runs on the following systems: > ? Windows 2000 Professional SP4 > ? Windows XP Professional or later > ? Windows XP Tablet PC Edition or later. Yes, I noticed this also. However, somebody on their newsgroup says that it works fine on XP Home, it just isn't officially supported. By the way, there is lots of useful info on the Virtual PC Newsgroup. Just click the link on Microsoft's Virtual PC home page. Nick

1 0

Re: [Fractint] A request to ATI Radeon VE display adapterusersreFractint.
by nick.grasso＠nasrecruitment.com 19 Jul '06

19 Jul '06

Hi John, OK, I just downloaded Virtual PC and took a quick look at the docs. First of all, the old Connectix and Microsoft Virtual PC came with a pre-installed DOS virtual machine. I see that Microsoft has yanked that from the latest version. As somebody else said, you can make a bootable DOS CD - it doesn't have to be a floppy. Also, you don't need to boot your PC with it, you just 'boot' the virtual machine with the floppy or CD in the drive. 'Booting' the vm just means clicking an icon. However, there is another complication. Virtual PC does still include what is called 'Virtual Machine Additions for MS-DOS'. You install this after you create your DOS virtual machine. It allows you to do lots of useful things, such as share the disk drive on the host PC, etc. Your virtual DOS will be much less useful without it. But note the 'MS-'. These might not work with non-MS versions of DOS. I don't understand why they yanked the pre-installed DOS. Do they expect you to buy a copy of MS-DOS 6.22? Is it still for sale?? Why does it seem that everything Microsoft touches, they make worse? Anyway, I'll sort this all out and let you know. Regarding your second question, yes, DOS runs in a sort-of virtual machine in XP. However, Virtual PC goes much farther. Virtual PC's vm is much more isolated from the guest PC. For example, if you are running a DOS program in XP and it tries to directly access the video card, XP will display an error and shut down the DOS program. VPC however will intercept the call and handle it gracefully. I've heard that many versions of Linux run in Virtual PC, although Microsoft doesn't officially support them. Nick Original message: --------------------- Excuse me butting in! I have downloaded and installed Virtual PC, but have a major problem. You see my computer does not have a floppy drive. Therefore I can't load a boot-up DOS into the Virtual disk which I created. I'm reluctant to change the boot order in my BIOS, to get a CD or the Virtual PC to boot the computer. (And that presumes I could get a bootable DOS onto a CD... it's on floppies.), I've been thinking, too, that "isn't that what happens in XP, DOS runs in a virtual machine"? If so, where's the advantage into trying to get DOS and Fractint into Virtual PC? Linux? Maybe, but so far I have not found sufficient information regarding Virtual PC to allow me to install and run it. Could be that the thing is obvious to more computer-savvy people than I. Let us know if you suceed. I'm holding my breath. :-)

1 0

Re: Paul N. Lee PARZ
by jackoftradez＠comcast.net 19 Jul '06

19 Jul '06

Why render a static image when you can see a viddie: http://www.fractal-animation.net/vid/st.zip . Does the Middle East SUCK or what !?

1 0

Re: Paul N. Lee PARZ
by jackoftradez＠comcast.net 18 Jul '06

18 Jul '06

Interesting pics Paul, those really are holes - they don't resolve into anything when you zoom in or up the iter count. Except #2, if you zoom into the center those barely visible spots off center resolve into intricate filaments, almost like a Cantor Set. And you can zoom further in to see more holes and things. I may do a zoom animation with this ...

2 1

Insight into visualizing extra spatial dimensions
by Hal Lane 16 Jul '06

16 Jul '06

#################################################### The NOVA TV program, The Elegant Universe, has a web page that attempts to give insight into visualizing extra spatial dimensions: http://www.pbs.org/wgbh/nova/elegant/dimensions.html The TV program airs on PBS July 11th, 18th and 25th. They also have a Flash demo about the math of higher dimensions: http://www.pbs.org/wgbh/nova/elegant/math-flash.html - Hal Lane ######################### # hallane(a)earthlink.net # ######################### #################################################### -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.394 / Virus Database: 268.10.1/389 - Release Date: 7/14/06

1 0

Re: [Fractint] A request to ATI Radeon VE display adapterusers reFractint.
by nick.grasso＠nasrecruitment.com 14 Jul '06

14 Jul '06

John Wilson wrote: >Looks interesting... I'm also checking it out. Couple of possible >problems, though. a) all my legacy software is on floppies, and I >don't presently have a floppy drive! Before I got my latest PC, I knew it wouldn't have a 5.25 inch floppy. So I went through all my 5.25 floppies that I wanted to keep and made images of them using WinImage before I trashed the old PC and hooked up the new. I am currently doing the same thing with my 3.5 floppies because the days of the floppy drive are obviously numbered. I'm sure you can find a friend that still has a 3.5 and do something similar. > b) The Evaluation Guide tells me ; >"Virtual machines also don't see the PC's hardware video card as a native >device, so users can't install their own video card drivers. Nor are SCSI >devices supported in a virtual machine". This video card business might >deny the operation of Fractint? (In a native virtual DOS installation)? >But you have tried this in the Connectix version? This is exactly why is DOES work! The DOS program THINKS it has direct access to an S3 card because that is what Virtual PC emulates. It doesn't matter whether you have an ATI card, an nVidia card, or anything else. Any software running in Virtual PC will think you have an S3 card. What they are saying above is that you cannot try to install drivers for your ATI or nVidia within your Virtual machine. Also, it does work with SCSI hard drives. However, there is a lot of hardware that it doesn't recognize, e.g., SCSI scanners, certain USB devices, etc. Yes, I have tried all of this on my Connectix version. The only thing I haven't figured out yet is how to get 1600x1200 in Fractint. All modes up to 1280x1024 work using SF5, SF6, etc. Nick

1 0

Re: [John] ZoneAlarm does not use a threat list.
by John Wilson 14 Jul '06

14 Jul '06

> ----- Original Message ----- > From: "Hal Lane" <hallane(a)earthlink.net> > To: "Philofractal" <philofractal(a)lists.fractalus.com>; "Fractint_msg" > <fractint(a)mailman.xmission.com>; <juanw(a)telus.net> > Sent: Friday, July 14, 2006 1:57 AM > Subject: [John] ZoneAlarm does not use a threat list. > > >> Hi John, >> Your statement: > >> indicates that you have made an incorrect assumption >> about how ZoneAlarm works. You are completely incorrect. However, we are off-topic discussing this in this group, so I've e-mailed you directly. I don't want to add to your list of illegalities. John W.

1 0

[John] ZoneAlarm does not use a threat list.
by Hal Lane 14 Jul '06

14 Jul '06

Hi John, Your statement: >...placing any faith in out-of-date firewalls is >quite a dangerous trick. >You would rely on threat data weeks, or >even months, old indicates that you have made an incorrect assumption about how ZoneAlarm works. ZoneAlarm does *not* use a threat list. It disallows *all* programs access to the internet unless you tell ZoneAlarm it is OK for a particular program to do so. You build this list of programs that are allowed to access the internet *once* (in a very convenient way -- by inserting a check in a box when it first tries to access the internet) and add to the list only when you install a new program on your machine. You can edit the list of allowed and disallowed programs at any time. Please also see my recent post to [Peter] on [Fractint] and [Philofractal] for further details about how ZoneAlarm works. I hope this helps your understanding of ZoneAlarm. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### --------------------------------------------------- >Message: 9 >Date: Thu, 13 Jul 2006 20:26:07 -0700 >From: "John Wilson" <juanw(a)telus.net> >Subject: Re: [Fractint] Re: Mark and WinDoZe 98 >To: "Fractint and General Fractals Discussion" > <fractint(a)mailman.xmission.com> >Message-ID: <011b01c6a6f5$43129f10$dc44facd@JohnW> >Content-Type: text/plain; charset="iso-8859-1" > >Seems to me that placing any faith in out-of-date firewalls is >quite a dangerous trick. You would rely on threat data weeks, or >even months, old? You could lose friends that way! You can at >least discover if you are in trouble by freqquently using an >on-line scan of your machine such as ... > >www.auditmypc.com/ > >https://grc.com/x/ne.dll?bh0bkyd2 > >www.dslreports.com/scan > >John W. > ----- Original Message ----- > From: RENRAD1(a)aol.com > To: fractint(a)mailman.xmission.com > Sent: Thursday, July 13, 2006 7:16 PM > Subject: Re: [Fractint] Re: Mark and WinDoZe 98 > > > In a message dated 7/13/06 6:46:25 PM Pacific Daylight Time, >Paul.N.Lee(a)Worldnet.att.net writes: > if you can find it somewhere, this might be a solution for a > while. At least until you can finally upgrade. > Thanks very much, Paul, I'll go 'mining for legacies' and see if >the version is around. > > Cheers! > peter S. >

1 0

[Peter] I have a copy of ZoneAlarm 6.1.744.001 that I am running on Win98SE.
by Hal Lane 14 Jul '06

14 Jul '06

######################################################### >> Can anyone recommend a way to see IF >> a win98 se machine is sending out junk >> at the behest of someone else? ...... (See previous email at the bottom of this email.) Peter, If you are not able to locate and stop the offending program directly, ZoneAlarm is a good way to stop offending programs from accessing the internet. It will also list each program in a pop-up message window at the time it first tries to access the internet after ZoneAlarm's installation. The first time after you install ZoneAlarm that each program on your machine tries to access the internet it asks you if it is OK for that program to do so. Each time you answer Yes or No and "Remember this Answer" ZoneAlarm builds a table of programs that are allowed to access the internet and which programs are not allowed to access the internet. You can edit this table at any time. Under ZoneAlarm's "Program Control" > "Program" tab, a single left click on the red "X" next to a program in ZoneAlarm's list of programs allows you to change the program's internet access from "Block" to "Allow" (or vice versa). So, you say Yes for your browser, email and similar obvious programs. It is pretty clear when *you* run a program (for the first time after ZoneAlarm was installed) and you immediately get a pop up message from ZoneAlarm asking if this program can access the internet, that *you* were the person who ran the program, so it is OK to say Yes in this situation. You can also usually identify the program by the name of the executable that ZoneAlarm lists. I would recommend saying No to any programs that you do not recognize or that just ran at a random time. You can always enable them later if you goof and, say, prevent Outlook Express from getting your email. If ZoneAlarm does identify a program that is sending out junk, you can do a search for instructions on how to remove the offending program using Google or another search engine. >The last updated version of ZoneAlarm that supported >the Windows-98 system will still work. I believe >that version is 6.1.744.001. I have a copy of ZoneAlarm 6.1.744.001 that I am running on Win98SE if anyone needs a copy. It is just over 10MB -- which prevents my ISP (Earthlink) from being willing to let me email it. My free web site only allows a total size of 10MB so I can't upload it to there... Hmmm. Does anyone have any ideas how I can get a copy of ZoneAlarm to Peter? <---<< - Hal Lane ######################### # hallane(a)earthlink.net # ######################### >------------------------------------------------- >Message: 3 >Date: Thu, 13 Jul 2006 20:39:39 -0500 >From: "Paul N. Lee" <Paul.N.Lee(a)Worldnet.att.net> >Subject: Re: [Fractint] Re: Mark and WinDoZe 98 >To: fractint(a)mailman.xmission.com >Message-ID: <44B6F5DB.48E7(a)Worldnet.att.net> >Content-Type: text/plain; charset=us-ascii > >RENRAD1(a)aol.com wrote: >> >> Can anyone recommend a way to see IF >> a win98 se machine is sending out junk >> at the behest of someone else? ...... >> I'm using avg's free antivirus, and >> it's filter, trojan hunter and it's >> 'guard'... and spybot, and run Advanced >> System optimizer.... >> > >Definitely download a firewall, such as ZoneAlarm or Kerio. I have been >using ZoneAlram for many years now with much success. > >Besides the programs you list above, you can also get Lavasoft's >Ad-Aware for free to do some checking. You can never have enough >protection for your system. There is no one product that is capable of >finding and trapping everything, so best to have several and use them >regularly. > > >Sincerely, >P.N.L. >------------------------------------------------- >http://home.att.net/~Paul.N.Lee/PNL_Fractals.html >http://www.Nahee.com/Fractals/ > >------------------------------ > >Message: 4 >Date: Thu, 13 Jul 2006 20:45:45 -0500 >From: "Paul N. Lee" <Paul.N.Lee(a)Worldnet.att.net> >Subject: Re: [Fractint] Re: Mark and WinDoZe 98 >To: fractint(a)mailman.xmission.com >Message-ID: <44B6F749.6F9B(a)Worldnet.att.net> >Content-Type: text/plain; charset=us-ascii > >Lee H. Skinner wrote: >> >> Unfortunately, neither the Zone Alarm >> or Kerio firewalls will support >> Windows98 anymore. >> > >The last updated version of ZoneAlarm that supported the Windows-98 >system will still work. I believe that version is 6.1.744.001. > >So, Peter, if you can find it somewhere, this might be a solution for a >while. At least until you can finally upgrade. > > >Sincerely, >P.N.L. ######################################################### -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.394 / Virus Database: 268.10.0/388 - Release Date: 7/13/06

1 0

Re: Fractint Digest, Vol 41, Issue 9
by Vortex Swirling 14 Jul '06

14 Jul '06

At 02:57 PM 7/13/2006, you wrote: >For those that wish to acquire all of the various PARs and FRMs from Jim >Muth's postings over the years, Les StClair's website already has the >majority available in collections Hi Paul, Have you been compiling any shared PARS and FRMS from the mail list which are not Jim's? I was doing this for a time and then lapsed some time back in 2004. So I'd have quite a back log if I were to do them. If not, then is there anyone else on the list who has been saving them? Roger

2 1

FOTD 14-07-06 (FOTD for 14-07-06 [NO RATING])
by Jim Muth 14 Jul '06

14 Jul '06

FOTD -- July 14, 2006 (No Rating) Fractal visionaries and enthusiasts: I recently wrote that all midgets in the Z^1.5+C Mandeloid look the same. After finding today's image, I am no longer certain that this is true. The pattern around the midget is fractured, as would be expected, but the theme of converging spiral arms clearly shows through the breaks and almost totally onliterates the radiating discontinuities. I gave the image no name or rating. Names and ratings add little to the impact of a fractal image. If the image doesn't have impact, a lot of fancy words and bloated ratings are not going to create it. The render time of over 19 minutes is true on my antique but still working fractal-dedicated P200 machine. All the more modern units, if they run Fractint at all, will calculate today's image in far less time. The parameter file has been posted, along with the completed image, to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Near perfect weather here at New Fractal Central on Thursday went unappreciated by the fractal cats, who spent the day alternating between sleeping and getting into trouble. Nico somehow managed to knock an entire row of books from the shelf, while Cassie watched with amusement. My day was spent preparing to do as little as possible for the next week or so. (The best way I know to spoil a vacation is to plan to have a lot of fun.) The next FOTD will appear in about one week. The exact date is uncertain, but one thing is certain -- I shall return. Until I do, take care, and don't work too hard trying to relax. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_14-07-06 { ; time=0:19:20.80--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.7\ 7076375739672540/+0.17285705091042080/1.781267e+008 params=1.5/0/-1.5/0 float=y maxiter=10000 inside=0 logmap=562 periodicity=10 colors=000qGUqJXpL_pNbpPeoRhoTkoVmkWlgXldYl`ZlY_lU\ `lRalNblKclGdlDel9fl6gl9ZeCQZEISH9LJ1FK3GL4HL5IM6I\ N7JN9KOALPBLPCMQDNRFORGOSHPTIQTJQRLRQNROPRNRRLTRKV\ RJXRLTSNQSPNSRKSSHTUETWBTY8TZ5TY5WX5ZX5`W5cV5fV5hU\ 5kT5nT5pS5sS5uR7tQ9sPArPCqODpNFoMHnMImLKlKLkJNjJOj\ ONdSN_XNU`NPVVUPbYJjbDqfGjhJcjMXkPQmSJnVCpY6q`AlbE\ gdIbfMYhQTjTPcSTYSWSSZMRaGRdARg4Rj9VfDZbIaZMeVRhSV\ lO_pKcsGhwClz9mxBnvDotFprHppJqnLrlNsjPthRtfTpdUmbV\ i`WfZXbXY_VZWU_TS`PQaMObIMcFKdCJdLSgU_iahkjpmrxoqs\ npnnojnnenmammXmlSmkOmjJliFlhAlh9leAkbBk`CjYDjVEiT\ FiQGhNHhLIgIJgGKgILdJMbLN_MOYNPWPQTQRRSSOTTMUUKWVH\ XWFZXC__A`b8YeCWhFUkISnMQqPOtSLwWJzZHzaFzeDzhBzkSz\ Ohz1bz5Yz9SzCNzGHzJCzN7zQCzOGzNLzMPzLTzJYzIazHezGd\ zKdzNdzQczUczXcz_bzcbzfbzibzlfzgjzbnzYrzTvzOyzKtzN\ pzPkzRgzTczWZzYVz_QzaMzdIzfDzh9zj5zl8zjAziCzgEzfGz\ eJzcLzbNzaPz_RzZTzYYzXbzW } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

Re: [Fractint] Re: Mark and WinDoZe 98
by RENRAD1＠aol.com 14 Jul '06

14 Jul '06

In a message dated 7/13/06 2:39:19 PM Pacific Daylight Time, dmj(a)fractalus.com writes: garbage onto the net for everyone else to deal with. And there won't be any more patches, as Microsoft has officially ended support for it. Keep it disconnected from the net entirely or make sure it's behind a thick firewall Hi listfolk, um. I don't really have much choice. Can anyone recommend a way to see IF a win98 se machine is sending out junk at the behest of someone else? If I can find something that alerts me to 'zombie' use, maybe I can keep things to a minimum? I'm using avg's free antivirus, and it's filter, trojan hunter and it's 'guard' (the guard, i'm told, isn't very good, though) and spybot, and run Advanced System optimizer with those when things start to drag or hang. Thanks for any assistance, peter S.

4 4

FOTD 11-07-06 (Hidden Zebras [6])
by Jim Muth 14 Jul '06

14 Jul '06

FOTD -- July 11, 2006 (Rating 6) Fractal visionaries and enthusiasts: Today's image consists of a lot of black and white stripes. Zebras have black and white stripes, therefore zebras must be in the image. But a careful search reveals no zebras, leading to the conclusion that the zebras are hidden. This is why I named today's image "Hidden Zebras". Actually, the image is a scene in the (-Z)^(1.5)+C Mandeloid, which not by coincidence is the same figure as the Z^(1.5)+C Mandeloid as it appears minus-PI levels down the log ladder. These Z^(1.5) fractals are frustrating. The midgets in them have a 'they-all-look-the-same-to-me' quality that is hard to escape. Discontinuities converge on the midgets in a boringly similar manner. But hope springs eternal, and I never give up hope that one day I will find a midget in the range around Z^1.5 that is a true prize winner. I added a bit of action to today's image by rendering it with the outside set to 'tdis'. The 'tdis' was worth the effort because when I used it, the rating of the image jumped from a 5 to a 6. The render time of 6-1/2 minutes is not so easily improved. A S.O.T.A. fireball computer is needed to speed up things, and many such new-fangled machines have a nasty habit of being un- able to run Fractint, the best fractal generating program of all time. (IMO of course) Another way to view the hidden zebra is to download the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather was a bit too warm and muggy for absolute comfort here at New Fractal Central on Monday. But the fractal cats seemed not to mind. They were more interested in lying on their scratching posts by the front windows, watching the birds scrounge for food. My day was somewhat busy. Unless something unexpected happens, which is always possinle, the next FOTD will appear right here in 24 hours. Until next time, take care, and see you then. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Hidden_Zebras { ; time=0:06:37.71--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multimin-XY-ZW-new function=ident/flip passes=1 center-mag=-0.44079778487187830/+0.825637\ 02539274850/3.832606e+010 params=0/0/1.5/0/0/0/0/0 float=y maxiter=1600 inside=0 outside=tdis periodicity=10 colors=000554333111tnIoiGjeFeaDaYCXTASP9NL7JH6EC49\ 83441qhrmdniajeZfaWbYSZUPVRMRNJNJGJFCFB9B767333`4U\ `3S_3P_2NZ2LZ1IY1GY1Ez3raKg0f61L5104aJqUFfMBWF7L73\ AhZgeXecVcaUa_S_YRYWPWUNUSMSQKQOJOMHMKFKIEIGCGEBEC\ 9CA7A868646434212x4mm3fc2VU2MJ1D906t47p36m36j35g35\ d25a24Y24V23S23P13M12J12F11C01901600300tv3ST1NooLk\ kKhhIeeHbbFZZEWWCTTBQQAMM8JJ7GG5DD4992661337mm5mm4\ PK3JF2CA165Aq68X46P34G2281m2Ig1Ga1EX1CR1AM08G06B04\ 5025MF4KD4IC3GB3FA3D92B82A6185164153032011IvECb96J\ 4Im_EcSAUL7KE3A7zmMzfLedKcbJa`I_ZHYXGWVFUTESRDQPCO\ NBMLAKJ9IH8GF7ED6CB5A94873652431210szpovllriinfekc\ bg`_cYW`VTXSQTONPLJMIGIFDEC9B9676333mOmXGXG8Gr_bmW\ ZhTVcQSZMOUJLPGHKDEF9AA67533YlhWifVgdTebSc`QaZP_XN\ YVMVTKTRJRPHPNGNLELJDJHBHFAED8CB7A9587465243121zrm\ slhmgcgaZ`XUVRPPMKIGFCBA655XXUVVSTTQRRPQQNOOMMMKKK\ IJJHHHFFFEDDCCCBAA9887666 } multimin-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=(-z)^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

4 4

A request to ATI Radeon VE display adapter users re Fractint.
by John Wilson 14 Jul '06

14 Jul '06

I left the Fractint list back in 2004... couldn't run the software under XP. I wasn't about to mess with dual-booting or other work-arounds, and I didn't have space for a dedicated DOS computer. So I quit. Recently I came across a message from Jim Muth, in which he remarked that he had absolutely no problem running Fractint in his XP Pro machine. Aha, I said to myself, I wonder if I can run Fractint in my new computer? I can, SF1 (1280 x 1024) is usable, so I am re-joining the list Now I do not have XP Pro... I have XP Media Center Edition installed. This is apparently a subset of XP Pro, not the Home edition. So, I am wondering if your problem resides not in your graphics adapter, but in your XP version? I can't be sure, as *my* adapter is a RADEON X300 SE (0x5B60), ATI Technologies Inc. I must say that it's fun to be back, and playing with sstools again! John W. Author: Hal Lane Date: 2006-07-06 07:162006-07-06 14:16 -700UTC To: Philofractal, Fractint_msg, Lee, Paul N. Subject: [Fractint] A request to ATI Radeon VE display adapter users re Fractint. Kim Hagar says: >I'm still puzzled [by not being able to >display higher DOS resolutions even after >running makefcfg.exe] and not sure >what else to try. I'm running WinXP with SP2- >patched to the hilt, and running McAffee >antivirus, in case that might have any issue... >I have a Radeon VE display adapter (ATI >Technologies) version 6.13.10.6006 My machine >is a still-under-warranty Dell system. > >I ran [makefcfg.exe]...as: >makefcfg.exe 16 true overwrite >and that added some VESA drives/modes, but I was >unable to use any of them! If anyone has an ATI Radeon VE display adapter and has tried to use Fractint with it, please send your experiences -- both good and bad (and op sys version) to the Fractint list serve. Thank you. - Hal Lane

6 8

Re: [Fractint] Re: Mark and WinDoZe 98
by RENRAD1＠aol.com 14 Jul '06

14 Jul '06

Thank you, very much, 'skinner' and 'jimmckenzie'. I guess it's more of a dinosaur OS than I'd hoped. I'll look to see if there is an older version of zonealarm or kerio that might help until I can snag an xp capable hand-me-down. Thanks again, peter S.

1 0

Re: Mark and WinDoZe 98
by jackoftradez＠comcast.net 13 Jul '06

13 Jul '06

Mark, KEEP win98SE - it works the best, I have been using it forever for all my animations. You can run fractint from windows in a full screen shell, or you can boot up and stop at the command line without loading windows. No problems at all. WinXP ? you see all the problems people here are having .... FAT32 is what I have, again no problems, and Win98 actually will work better. FAT16 is not necessary, I did a lot of experimenting years ago to find the optimum fractint conditions.

2 1

FOTD 13-07-06 (Fractal Kind of Thing [NO RATING])
by Jim Muth 13 Jul '06

13 Jul '06

FOTD -- July 13, 2006 (No Rating) Fractal visionaries and enthusiasts: Today's image takes us to a minor valley of the Z^(1.5)+C Mandeloid as it appears 1.5 levels down the complex log ladder. I named it "Fractal Kind of Thing" for the reason that that's what it is. Unable to decide on a rating, I let the image go un-rated. The image is a departure from my usual style of fractal. Instead of a midget and its hectic surrounding pattern, we have a serene infinite blue background with a fractal something floating by in the foreground. The effect of infinitely deep space was achieved by rendering the image with the outside set to 'fmod'. Those who find the 5-minute render time too slow may download the finished image almost instantly from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A warm muggy Wednesday here at New Fractal Central was spoiled at 7pm by a lively thunder-shower. The fractal cats were startled by some of the louder thunder claps, but did not go into hiding. Though my day was busier than average, the work was finished promptly. The next FOTD will appear in 24 hours. It is looking more likely that after tomorrow there will be a week or so hiatus in the FOTD while fractal lady and I refresh ourselves at some out-of-the-way place yet to be determined. It will be a time to actually do nothing. Such vacations are not only the most relaxing, they are the least expensive. Until tomorrow, take more care than seems humanly possible. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FractalKindOfThing { ; time=0:04:58.30--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=-0.6\ 5371716909482990/+0.45824484611091370/16437.02 params=1.5/0/-1.5/0 float=y maxiter=1000 inside=255 outside=fmod periodicity=10 colors=000hQTeKRcFO`9MZ4KY5MX6NX6PW7QW7RV8TV8UU9WU\ 9XTAYTA_SB`SBbRCcODaRCdTBfVBiXAk_9ma9pc8rh6se8tcAt\ `BuZDuWEvUGvRIvPJwMLwKMxHOxCOzFPxIPvLPuNQsQQqTQpWQ\ nYRl`RkcRieRh__iVhjRqmQpkQpiQogPoePocPnaPn_OnYOmWO\ mUOmSPiQQfORbMS_LTWJTTHUQFVMEWJCXFAYC8Y97`88c79e6A\ h5Ak4Bm3Cp2Dr1Dde3``6XW8USAQNCNJEJEGGAIC5K91MA2OB3\ QC4SD5UE6WF7YE6`F8_GA_HC_IE_JGZJIZKKZLMZMOYNQYOSYL\ WXOUYQSYTRZVPZXN__M_aK`eLXcJ`rM`bIcNFf8CiHElPGnYIq\ eKsnMvvOxrQrnRmjThfUcbWYZXTVZOS_JUXMWVPXTSZRU`PXaN\ _cLaeIdfGghEjjClkAom8rn6tj8pg9ldAhaBdZC`WDXTETQGPN\ HLKIHHJDEK9BL58M1IWISeZcjsanocwp_rlWniTifPebL`_IXX\ ESUIKeLJbOH_RGXUEUXDRZBNaAKd8Hg7Ej5Bm48o35n48n5Bn5\ Dn6Gm7Jm7Lm8Om8Ql9TlAWlAYlB`mC`lBblBdlBflBhlBilAkl\ AmlAolAqo9wlAriAmgBhdBcaBZ_CVXCQUCLSDGPDBND7RHBULE\ XPH_TKbXNe_QhcTkgWnkZqoatsdwvgtpdrkboe_m`YjVWVN_TM\ `SMaQMaFLcFLcFLcFLcFLcFLc } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

FOTD 12-07-06 (FOTD for 12-07-06 [6])
by Jim Muth 12 Jul '06

12 Jul '06

FOTD -- July 12, 2006 (Rating 6) Fractal visionaries and enthusiasts: I was rather busy on Tuesday, which explains the lateness and briefness of today's image. I'm trying to get things wrapped up so we can take a short vacation in a few days. I deserve some time off. I think it has been 4 years since the last vacation. Today's image takes the fractal that results when 33 parts of Z^(-1.6) are subtracted from 33 parts of Z^(-1.5), and finds a promising scene with a quadratic midget in it. It then evapo- rates the scene and renders the resulting blank screen with the outside set to 'bof61'. The resulting image rates a 6, (in my at opinion at least). I do not think the image deserves a name. The render time of 8 minutes is well within reason for an image with a maxiter of 1000 that consists entirely of trapped points. But to make things even more convenient, the completed GIF image will soon be available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Hazy, warm and muggy weather continued here at Fractal Central on Tuesday. The fractal cats, who continued acting like kittens, were notably unconcerned with the weather. They were more concerned with chasing the large fly that got into the house. Cassie, the more agile one, finally caught the fly and ate it. Only one lamp was knocked over in the chase. The next FOTD will be posted in 24 hours. After that, things become uncertain. Fractal lady and I are thinking of shutting things down for a week or so and taking a long-overdue vacation to places yet to be determined. BTW, I have purchased a camera to take on any vacation that might happen, so look for pictures of both the old and new fractal cats in the near future. I'll keep the lists updated as things develop. Until tomorrow, take care, and expect only good things to happen. (Note that there is no guarantee of this however.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_12-07-06 { ; time=0:08:08.73--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-2.04543695952101400/+6.081215273327160\ 00/1.465198e+010/1/-170.037777445871626/0.12171155\ 712177445 params=33/-1.5/-33/-1.6/0/1e+100 float=y maxiter=1000 inside=bof61 periodicity=10 colors=000sS`sUVrWPrZJr`Drb7nW5kP3gI1dB0bF2aI4_L6Z\ O8eJBkFDqBGw7Ih5BU44iUUxssutosulpvinwfkxciy`ftddph\ bkl`gpZcsOiuDnv3swAoiGlWMiISf5Xb6`_7dX7iT8mQ9qN9tK\ SqJVnIYlH_iGbfFedEgVOYLXPBeF1n65bJ9RVDFfG3rqT8Znsa\ pqcrpesohunjwmlxlntfoq`qnWrkQshLtgMtfNteOteOtdPtcQ\ tbRtbR57aKNSZbJmrA9X`RehhnpzvxtuqotjjscdrX_qQVqKRm\ MNjNJfOFcQB_R7XS4UTBVPHWLNXITYE_ZAe_7k`3q`0OYRTVVX\ TY`R`KGdhNgEAaGDdIGgKJjMKkKPgHNaELWBIQ8GK5EE2C87IB\ KODPUFU_HZeKckMhqOmwQhpcckfaeh_a`RZTIVL9SDrOcjO_bO\ WWOTOOPGOL9OILTKWYMgbOrfPmePiePedPadPXdPTcPPcPLcPW\ 84Y95ZA6_A6aB7bB7cC8dC8cG9bKAaOB`SBUaNOkZItiOskUrl\ _rmeqokqpqpqwprSEXNG_JIaFJcALe6Ng2Oi9LdGI_MGVTDR_A\ Me8Hl5Cr38H`dGdkFgrEjx0KKGUOVbR__NdXKhVHmSErPBvN8u\ SHtXQtaZsfgsjoqlqpmrnnsmotkqvjrwhsxgtyknroilsdfmXi\ gPlaHoW9rPCkJEdDGY7IR1KKBGMKDOTAPWETYIWYBJY56ZJEZW\ M_hU_u`mlUloUp_ftKrsNlsPf } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

Re: [Fractint] Increasing Resolution?
by Paul N. Lee 11 Jul '06

11 Jul '06

Kim Hagar wrote: > > .... here it is. It is smaller than > my original, which was 14k. The one > I created is only 6k . . . When one runs the MAKEFCFG.EXE program, it should only create a FRACTINT.CFG file with the entries necessary for the video adapter that is used with that computer. The FRACTINT.CFG file that comes with the older FractInt download (on the Spanky website) has several additional entries that cover various adapter/monitor environments, and therefore is a larger file size. > > Oh, and this is in the OLDER version- > that I could do the makefcfg.exe . . . > Does the newer program not have that? To my knowledge, the MAKEFCFG.EXE program has not changed in many years, so there probably is no newer version available. > > ---------------------------------------------------------------------- > ; FRACTINT.CFG File > ;key adapter/mode | AX | BX| CX| DX|mode| x | y |clr| comments > ;===================================================================== > F2 ,VESA Color Pal ,4f02, 6A, 0, 0, 28,1024, 768, 16, ATI RADEON VE > F3 ,VESA Color Pal ,4f02,102, 0, 0, 28,1024, 768, 16, ATI RADEON VE > F4 ,VESA Color Pal ,4f02,104, 0, 0, 28,1024, 768, 16, ATI RADEON VE > F5 ,VESA Color Pal ,4f02,182, 0, 0, 28,1024, 768, 16, ATI RADEON VE > F6 ,VESA Color Pal ,4f02,10D, 0, 0, 28,1024, 768, 16, ATI RADEON VE > F7 ,VESA Color Pal ,4f02,10E, 0, 0, 28,1024, 768, 16, ATI RADEON VE > F8 ,VESA Color Pal ,4f02,10F, 0, 0, 28,1024, 768, 16, ATI RADEON VE > F9 ,VESA Color Pal ,4f02,120, 0, 0, 28,1024, 768, 16, ATI RADEON VE > F10,VESA Color Pal ,4f02,192, 0, 0, 28,1024, 768, 16, ATI RADEON VE > SF1,VESA Color Pal ,4f02,193, 0, 0, 28,1024, 768, 16, ATI RADEON VE > SF2,VESA Color Pal ,4f02,194, 0, 0, 28,1024, 768, 16, ATI RADEON VE > SF3,VESA Color Pal ,4f02,195, 0, 0, 28,1024, 768, 16, ATI RADEON VE > SF4,VESA Color Pal ,4f02,196, 0, 0, 28,1024, 768, 16, ATI RADEON VE > SF5,VESA Color Pal ,4f02,1A2, 0, 0, 28,1024, 768, 16, ATI RADEON VE > SF6,VESA Color Pal ,4f02,1A3, 0, 0, 28,1024, 768, 16, ATI RADEON VE > SF7,VESA Color Pal ,4f02,1A4, 0, 0, 28,1024, 768, 16, ATI RADEON VE > SF8,VESA Color Pal ,4f02,1A5, 0, 0, 28,1024, 768, 16, ATI RADEON VE > SF9,VESA Color Pal ,4f02,1A6, 0, 0, 28,1024, 768, 16, ATI RADEON VE > ..........etc............ > It is quite interesting to see that there is only one resolution and color mode specified. No matter which entry is created, it is basically the same for each. The only difference is within the AX and BX values. I can now see why FractInt may not be displaying things correctly, or giving error messages, when you choose another listed mode. You really only have one that can work properly. I did some reading on the web at these sites: http://www.digit-life.com/articles/radeonve/index.html http://www.ati.com/products/radeon7000/radeonve/specs.html https://support.ati.com/ics/support/default.asp?deptID=894&task=knowledge&f… But was unable to come up with anything, other than the Radeon VE graphics controller/processor should have display support that is register compatible with VGA, is BIOS compatible with VESA for super VGA and has VESA Display Power Management Support. And I did not find any reference to the version 6.13.10.6006 drivers that you have loaded. What might help, is to know which Series your Radeon VE adapter is, such as 7000, 9250, 9200, X850, etc.... Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

2 1

FOTD 10-07-06 (Window Droplets [6])
by Jim Muth 10 Jul '06

10 Jul '06

FOTD -- July 10, 2006 (Rating 6) Fractal visionaries and enthusiasts: The Z^1.5+C Mandeloid always has been one of my favorites. (The Mandelbrot set holds top spot.) The Z^1.5+C is the most change- able of the Mandeloids with an exponent of Z between 1 and 2. Today we examine this fractal as it appears at ground level of the complex-logarithmic ladder. In my opinion, at this level the Z^1.5+C Mandeloid resembles a midget racing car. At other levels it appears totally differ- ent. Today's scene is located in the driver's shoulder, on the northeast side of the fractal. When rendered in the normal manner, with the inside set to 0 and the outside set to 'iter', today's image is rather lifeless. To add a bit of excitement, I rendered it with the outside set to 'fmod', which produces the star-like effect. The curves and cusps that fill the image remind me of the pat- tern that is seen around street lights when one looks through a rain droplet on a window at night. This pattern inspired the name "Window Droplet". The rating of a 6 seems appropriate for today's image. Far better images will be needed before we can reach the ratings of 8 or 9. With a render time of just under 16 minutes, today's image is a bit slow. But relief for impatience is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The near perfect weather went unappreciated here at New Fractal Central on Sunday. The new fractal cats were more concerned with chasing each other up and down the long hallway and explor- ing the nooks and crannies of the basement. From what I hear from Old Fractal Central, the ex-fractal cats are spending their days sleeping, hanging out in the holly patch, and receiving treats of tuna as they always did when their home was known as Fractal Central. My day was slightly busy -- just the way I like it. The next FOTD will appear in 24 hours. Until then, take care, and watch for the strange and unexplained events. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Window_Droplets { ; time=0:15:52.47--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 center-mag=+0.66433854815324980/+0.662251585236201\ 20/178817.2/1/12.5/-1.06402237715075287e-009 params=1.5/0/0/0 float=y maxiter=16000 inside=0 outside=fmod periodicity=10 colors=000797989B7BD6DF5FI4HL9FPEDUIBZNAaR8dW6g`5j\ d3mi1om0glA`lKTlTMlbIriFlkCgl9an6Xo3Rq0Kr1Mr1Or2Qr\ 2Rr2Tr3Vr3Wr4Yr4_r4`r5br5dr6fr6gr6ir7kr7lr8nr8pr9s\ s8qr8oq8mq8kp8ip8go8eo8cn8an8_m7Ym7Wl7Ul7Sk7Qk7Oj7\ Mj7Ki7Ii7Gh7EhADgCDgEDfGDfJDfLDeNDePDeSCdUCdWCdYCc\ `CcbCcdCbfCbiAchCbgEbfGaeIadKacM`bO`aQ`aS_`U__W_ZY\ ZY_ZXaZWcYVeYVgYP`TNaSMaSKaSJaSIaRGaRFaREbRCbRBbQA\ bQ8bQ7bQ5aP6bQ6cQ6dQ6eQ6eQ6fR6gR6hR6hR6iR6jS6kS6kS\ 6lS6mS6nT6nT6oT6pT6qT6qT9oSCnRFmQIlPLjOOiNQhMTgLWe\ KZdJacIdbHo`8faGZaORbWJbcBck0et3cs5bs7`r9_rBZqDXqF\ WpHVpJTpLSoNQoPPnROnTMmVLmWHoXKmYMlZOk_Rj`ThaVgbYf\ c_ecadddbefafh`gk_hmYioXjrWktVmxTkvUjuVitWgsXfqYep\ Zdo_bn`ala`kbZjcYidXgeWffUegTdhSbkQajP`kO_lNZlMXmM\ WhMVeLUaKT_JSXIRVHQSGOQFNNEMLDLICKGCJDCIBCH8DH5CG6\ CG6CF6CF7CE7BE7BD8BD8BC8BC9BB9AB9AA9AAAA9AA9AA8B98\ B97B97C96C96C96C2D14B35A5 } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

FOTD 09-07-06 (Surprised Cyclops [5])
by Jim Muth 09 Jul '06

09 Jul '06

FOTD -- July 09, 2006 (Rating 5) Fractal visionaries and enthusiasts: Due to a late night out, we're a bit late with today's image, but it's better late than never. Today's image rates a 5 and has been names "Surprised Cyclops". Well, it's what I saw when I studied the image. It is a view of a midget in East Valley of the Mandelbrot set. But it looks nothing like a Mandelbrot midget. Nor does it resemble a Julia set of East Valley. True, there is a vague feeling of East Valley-ness in the image, but the so-called midget is nothing more than a shapeless hole that might have been bitten out of the background by an alien zombie (or cyclops). The bifurcating 4-8-16 pattern of elements that surrounds every Mandelbrot Midget and Julia midget has been so distorted that it is barely recognizable. The stretched and twisted elements are a sure sign that we are viewing a remote oblique slice of the Julibrot, the four-dimensional object of which the Mandelbrot set and all Julia sets are but differently-oriented two-dimen- sional sections. Everyone with any interest at all in math wonders what the fourth dimension is. It is totally impossible to visualize, yet we can work with it quite well and know as much about it as we do about the third dimension. 4-D objects are in no way merely unusually-complex 3-D objects. They are entirely different animals, hypersolid monstrosities with outer surfaces that are fully three-dimensional. It is immediately apparent that we have no chance of seeing an entire 4-D object at a single moment of time with our physical eyes. Our retinas have two-dimensional surfaces and could never receive all the information in a 4-D cone of light. The most we could do would be to scan the 4-D object one 3-D slice at a time, making time the fourth dimension. We would see a 3-D object changing shape over time -- a feeble impression of 4-D space. But though we could never see a 4-D object with our physical eyes, could we visualize it with our inner eyes, which have a greater range than our physical eyes? Once again the answer is a resounding no. Some mysterious limit blocks even our imagination. I suspect that this limit is deeply involved with our stage of consciousness. We are at the 3-D stage of con- sciousness, and to visualize the fourth dimension, we would need to expand our consciousness. Can mystics, who expand their awareness, visualize the fourth dimension in their expanded imagination? If they could, how could we determine it? Even if they did, they could do nothing but relate to us the things they had experienced. But we already know about 4-D space and the things they would describe. Mystics might claim that they had actually visualized the fourth dimension, but they would have no way to prove it. As for today's tiny slice of a 4-D monstrosity, it renders in 4-1/2 minutes. Due to the lateness of this message, there might be a delay before the completed image is posted to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Partly cloudy skies, dry air, and a temperature of 81F 27C made things quite pleasant here at New Fractal Central on Saturday. But the new fractal cats were more interested in wrecking today's newspaper than in the weather. If they can find so much enjoyment in a small Saturday paper, they will really go bonkers over tomorrow's larger Sunday paper. The local fireworks display went off only four blocks away Saturday evening, making quite a bit of noise. Cassie ducked under the bed for a few minutes, but soon realized that there was no threat. Nico actually went to the window to see what all the excitement was about. For me, things are settling down here at N.F.C. We are not yet at the point where we can find any object almost without thinking of where it is stored, but we are making good progress toward that goal. The next FOTD will appear in 15 hours. Until then, take care, and keep your feet on the earth and your head in the clouds. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Surprised_Cyclops { ; time=0:04:29.18--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=+0.00000037451060175/-0.000000006544927\ 92/5.378279e+007/0.01533/180/-89.1953663839249487 params=51.7/38/2/0/0.265084671264/0.002993829528/0\ .265084671264/0.002993829528 float=y maxiter=10000 inside=0 logmap=228 periodicity=10 colors=000DRJGVOJYUMaZPdcXcXdcRlcLtcFjXCaQASK7360J\ D5962UmEkpCdhAYa8RU7KM5DF3671KnoFabAPQ5CDKjkG`aCSS\ 8IJ499Bo95Q4qUQ_KHIA8B`B9U97O75I53C31618bY7YT6TP5O\ L4JH3EC298144v7ag5ST3JE196R64L43G32A2151L1WH0QE0LA\ 0G70A305G2kA1W50GpyoZdYHKHiTVYLNNEFB77ATI8NE6HA4B7\ 253jr0dk0Zd0TY0NR0HK0BD0560gW3ZP2QJ1HC1860vuamlWed\ RXXLPOGGGA885Zb0TW0NQ0HJ0BD05608Jg6EX49M24BGpXDhSB\ `N9UI6ME4F9274sH5iE4`B3S82I51920ut3ml2fe2_Z1TS1LL1\ EE0770RRjCVF6F7_VCUPAOK8IF6CA4652ql`jeWc_RXUNROIKI\ DDC9664sRbkNXcJRWFMOBGG7B835slwe_hSOUECFiPYbLTWHOQ\ EJJAED79634GBOD9KB7H96D64A436213s56l45e34Z33S23L12\ E11700M4vI3lE2bB2T71J309e23V12L11A00zsiVSNq5Ec3AR2\ 7D136Ox8Iz6Kz5Mz4Oz2Qz1SzuUzfWzTYzE_z8az4czzezVgzE\ izekzomzgoz`qzTtzMwzEzz7zzBzz8zz6zz4zz2zzIzzDzz9zz\ 4zzYzzTzzPzzLzzHzzCzz8zz4zzezzVzzLzzAzzrzz_zzIzziz\ zczzYzzSzzNzzHzzBzz5zzRzz } frm:multirot-XZ-YW-new {; 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)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END PARAMETER FILE=========================================

1 0

Re: [Fractint] View a 4 dimensional object; Warning - large file;
by billjemison＠cableone.net 08 Jul '06

08 Jul '06

2 1

FOTD 08-07-06 (FOTD for 08-07-06 [5])
by Jim Muth 08 Jul '06

08 Jul '06

FOTD -- July 08, 2006 (Rating 5) Fractal visionaries and enthusiasts: With a new and unexpected customer to please, things were quite busy here at New Fractal Central on Friday. But they were not so busy that I failed to find an average quality fractal. (How many fractalists are willing to spend over 9 minutes running a parameter file, when I readily admit that the final result will be nothing out of the ordinary?) The image is part of the fractal that results when 0.65 part of Z^5 is subtracted from 0.65 part of Z^3 and C is added. It consists, as do most of my fractals, of a quadratic midget at the center, surrounded by the typical decorations. The entire scene is filled with more holes than a swiss cheese. Such holes must mean something, though I have never seen them discussed. The rating of a 5 is perfectly average. In a day or so I will resume naming the FOTD images, but today is not that day. I leave it to the individual fractalist to decide whether the render time of over 9 minutes is excessive for an admittedly average image. This decision may be escaped by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Near perfect weather prevailed here at New Fractal Central on Friday. Not yet being permitted to go out, the new fractal cats paid no attention to the outside conditions. They paid a lot of attention to their food dishes however. My day was unusually busy, which accounts for the brief discussion. The next FOTD is due to appear in 24 hours. Until then, take care, and make an effort to separate the real from the unreal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_07-08-06 { ; time=0:09:20.95--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-1.42886486466581900/+0.000075408831869\ 92/6.125172e+010/1/172.5/0.028192606271079 inside=0 params=0.65/3/-0.65/5/0/0 float=y maxiter=650 logmap=143 periodicity=10 mathtolerance=0.05/1 colors=000Eo5Bf49Y37Q24H1280YWOTSLPOILKFHGCCC98864\ 43PEuOjkJ`aESS9IJ4991I580v5nUwm`ofWh`R`VNUPIMIDFC9\ 764yfRdSIKE99BD79B6895684563442231116qe4fX3WP2LG1A\ 8TDBL98E65732dwWWkPO_JGOC8C6NjrJbhFV_BNR7FI379`Y6V\ T5QO4LJ3FE2A91540s7FzAKqHRiNX`TcTZiKdpCjvBhoAghAfa\ 9eV8cO8bH7aA7`4OWNcRdsMvlTleZbZeTTkJPeGL_EIUBEO9AI\ 7D877C4362Gw5Ac35K1npPceKUVFKLAAA5v5Nl4Jb3FT2BJ179\ 036OA4J83E6294142NzMKrJHjGEbDBVB8N85F5272lpM_bGOQB\ CD5YPhTLbPIXLFSHCMC9G86B435tdJkZGcTDWNAOH8GB5852p0\ xe0kV0_L0OA0Ch2ib1cX1YS1SM1NG0HB0B5050TH0E86MYK6PF\ 4IA3C516J3wF2kB1_71O30CiGmcEfYC`SAVN8PH6IB4C526dMW\ YIQRELKBGD7A635G9kC7a95S63J319XUQRPLMKHGFDBA8554VV\ oFFQRVvIKb9AJ9d95op4fg3YZ2QQ1HH088rV8_K5IA2mO7Xz4G\ z2zz4Vz2lzfbzYTzPJzH9z8cz2Qz1Dz0nzHfzE_zCTz9Lz7Ez4\ 7z2fzkWz_LzOAzCozUYzKHzA6zl5ze4z_3zU3zO2zI1zU0zcCz\ cZzgQzXHzM8zBIz_HzH8z8Wzv } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

2 1

FOTD 07-07-06 (FOTD for 07-07-06 [6])
by Jim Muth 07 Jul '06

07 Jul '06

FOTD -- July 07, 2006 (Rating 6) Fractal visionaries and enthusiasts: Today's image is from the same parent fractal that gave us yesterday's image. But whereas yesterday's scene was located in the East Valley area of the most prominent Mandeloid of the parent, today's scene lies near the tip of its main stem. The scene is not on the stem, but very near it. This variety of image has been seen many times before, which kept me from rating it above a 6, but it really is a rather pleasant and harmless image, well worth the 10-1/2 minutes required to render it. Of course, 10 minutes is 1/144 of a day, and some fractalists may need every moment of their busy days. These busy ones may save time by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Before the move, I did not realize that finding good fractals, like being a star athlete, requires constant practice. I still seem unable to settle smoothly back into the fractal groove I was in before the move. I am out of fractal shape, that much is certain, but things are slowly starting to improve. The weather here at New Fractal Central on Thursday was much improved. A high temperature of 79F 26C, sunny skies with puffy white clouds, and low humidity made conditions ideal for the fractal cats both old and new. In a week or so, we might let the new duo venture onto the enclosed porch at the back of the second floor of New Fractal Central. Right now, all they are allowed to do is gaze wistfully from the windows. The next FOTD will appear in 24 hours. Until then, take care, and fractals are the best cure-all ever invented. (Or were they discovered?) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_07-07-06 { ; time=0:10:36.15--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+21.45969376914734000/-0.08822920426796\ 151/1.102407e+007/1/165/1.42485353031573947e-005 params=-3/-1.15/-0.3/-11.5/0/0 float=y maxiter=1600 inside=0 logmap=215 periodicity=10 colors=000lAmlAmmDmmGmnKmnNmoRmoUmpYmp`mqdmqgmrkmr\ nrrqwnmwkimgfcdbU`_KYWBVT5ZOAbKFeGJ938C97EE6GJ5IP5\ KU4NZ3Pd3Ri2Tg1Vs1Xk2Yo3Zk3_k4ai4bh5cf5dd6fb7g`7h_\ 8iY8kW9lU9mSAnRAlPCjOEiNGgMIeLKdKMbJOaIQ_GSYFUXEWV\ DYTC_SBaQAcP9dSEfUIhWMjZRl`hzbZpdWneTlfQkhNiiKgjHf\ lEdmBbn8ap5_q2Yr0Xn3Vj5Ug7Sc9R_BPXDOTFMPHLMJKPMXSP\ hVStUQqUOnUMlTLiTJgTHdSFaSE_SCXRAVR8SR7PQ5NQ3KQ2IR\ 4MS5QT6TU8XV9`VAcWBgXDkYEnZFrZGu`JtbLtdOsfQshSsjVr\ lXrn_qpaqqcqsgtvkwxnzykuyipyfkydfyaaz_XzXSzVNzSIzQ\ DzO9jY8Vf8Fp80y8grifeefTafHYgHZhH_iH`iHajHbkHckHdl\ HemHfmHgnHhoHioHimFekEbiCZgBWeATc8Pa7M_5IY4FW3CS7H\ OBMKFRGIVCM_8Qd4Ui0Xm2Zl4`l6bk8dk9ejBgjDiiFkiGliHm\ jImjJmkKmlLmmLmnMmoNmpOmqPmrQmsQmtWmuamvgmwmmxsmyy\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmz } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

View a 4 dimensional object; Warning - large file; Comments requested
by Hal Lane 06 Jul '06

06 Jul '06

############################################ About three years ago someone put a link to the fractal program Quat (that can create three dimensional fractals) on the Fractint list serve. At that time I found some interesting 3D fractals on the web and created some of my own. Quat is available at: http://www.physcip.uni-stuttgart.de/phy11733/quat_e.html Quat uses the quaternions (an extension of complex numbers) to calculate its 3D fractals. Note that Quat's 3D fractals are calculated as three dimensional objects but only displayed as shadowed, depth-cued 2D images of the 3D fractal. This method of display, however, does give quite a bit of feeling for the third dimension without requiring everyone who wants to view the three dimensional fractal to buy a stereoscope or cross their eyes. (Note that Quat does allow you to calculate a pair of 2D images from a 3D fractal -- with the viewpoints slightly rotated from one another. These can be viewed as a true stereoscopic 3D image with a stereoscope or by crossing your eyes. There is a link: 'Stereo 3D Fractal' at the top of my web page (see below) to view one of these.) However, I have always been interested in even higher spatial dimensions that fractals can inhabit. I wanted to calculate and view four dimensional fractals -- but the real problem is how to display them, not how to calculate them. Calculating them just takes time. After thinking about the problem of how to display a four dimensional fractal for quite a while, I finally hit upon a solution. I would use Quat's 2D, shadowed, depth-cued images to show three dimensions of the 4D fractal and use time to show the fourth dimension. I would create an animation where each *time slice* would be a different *spatial slice* of the four dimensional fractal. Each slice would be a 3D object (seen as a 2D, shadowed, depth-cued image). I would assemble all of these 3D slices into an animation. Viewing the animation would then show the fourth dimension of the fractal object over the duration of the animation. I set up a batch file to invoke Quat to calculate the different 3D slices of the four dimensional fractal and then put the 2D versions of these slices together into a .gif animation. This works and makes a very crisp and clean animation, but creates a large file. I realize that other animation encodings (e.g. .wmv, .avi, etc.) are smaller but I do not have access to these encoders. I just put my animation of a 4D fractal on the web for others to view: http://home.earthlink.net/~hallane/hals_fractals_n_photos/ !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Warning! Clicking on the still image on my web page to view the animation will download a 600 MB file. I do *not* recommend using dial-up internet access to view this large a file. If you have dial-up access you should view the image on a friend's computer that has broad-band access. Just email them the link and schedule a visit. (If you really want to try to download the file with dial-up internet access you could use a 'download manager' program that can restart the download from where it left off because of a dropped phone line. This will still take a very long time. The largest file that I ever downloaded successfully using this method was a 90 MB file.) !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I'm sorry that the animation is so large. I originally intended it to only be viewed on my own computer. With broad-band access being more widely available now I felt encouraged to put it on the web. Sorry... /hals_fractals_n_photos/ has underscores in it that don't show up obviously in the link above, although you should be able to just click on the link to get the web page to appear in your default web browser. If that fails, the easiest thing to do is copy and paste the link into the address window of your web browser. I have successfully viewed the animation with these web browsers: - IE 6.0, - Firefox 1.5.0.4 - Netscape 6.2 The smoothest rendering of the animation (after the entire file is downloaded) seems to be provided by Firefox and Netscape. The animation loops continuously. If you only get a jerky rendering of the animation in your web browser you can right click the fully downloaded animated image and choose "Save image as..." and save the animated .gif image to your hard drive and try viewing it with a different image viewing program. I have discovered that the version of Microsoft Paint that ships with my Windows 98 does not display the animation. Also, probably because the image is a non-standard resolution and for other reasons I have not been able to view it successfully with Fractint. The best I have been able to do using Fractint is to use F3 - 320 x 200 x 256 to display the animated .gif file. It shows a distorted version of the animation once -- too quickly -- and then stops. I would be interested in any comments you may have about how successful I have been in trying to view the fourth spatial dimension. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ############################################ -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.394 / Virus Database: 268.9.9/382 - Release Date: 7/4/06

4 4

Re: link for new E+89 zooms
by jackoftradez＠comcast.net 06 Jul '06

06 Jul '06

This will take you right to it: http://www.fractal-animation.net/ufvp.html#u3x 3 sizes to choose from .

2 1

Re: Fractint Digest, Vol 41, Issue 5
by jackoftradez＠comcast.net 06 Jul '06

06 Jul '06

Nick ask: ""what is the difference between WMV-640x480-47 MEG and AVI-640x480-205 MEG, "" AVI is higher resolution, WMV is a MPEG4 compression. Actually, the difference is not worth the extra file size download if you are just viewing on computer, but if projected on a big screen it matters.

1 0

Re: [Fractint] Re: link for new E+89 zooms
by nick.grasso＠nasrecruitment.com 06 Jul '06

06 Jul '06

jackoftradez(a)comcast.net wrote: >This will take you right to it: > >http://www.fractal-animation.net/ufvp.html#u3x > >3 sizes to choose from Thanks, JackOfTrades. But what is the difference between WMV-640x480-47 MEG and AVI-640x480-205 MEG, other than the file format? Nick

1 0

A request to ATI Radeon VE display adapter users re Fractint.
by Hal Lane 06 Jul '06

06 Jul '06

Kim Hagar says: >I'm still puzzled [by not being able to >display higher DOS resolutions even after >running makefcfg.exe] and not sure >what else to try. I'm running WinXP with SP2- >patched to the hilt, and running McAffee >antivirus, in case that might have any issue... >I have a Radeon VE display adapter (ATI >Technologies) version 6.13.10.6006 My machine >is a still-under-warranty Dell system. > >I ran [makefcfg.exe]...as: >makefcfg.exe 16 true overwrite >and that added some VESA drives/modes, but I was >unable to use any of them! If anyone has an ATI Radeon VE display adapter and has tried to use Fractint with it, please send your experiences -- both good and bad (and op sys version) to the Fractint list serve. Thank you. - Hal Lane ######################### # hallane(a)earthlink.net # ######################### -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.394 / Virus Database: 268.9.9/382 - Release Date: 7/4/06

1 0

Re: [Fractint] Increasing Resolution?
by Paul N. Lee 06 Jul '06

06 Jul '06

Kim Hagar wrote: > > I did some reading and found that > many NICE monitors, etc., just do > not allow the changes, even though > they are quite capable . . . Most problems people have running FractInt under Windows-XP are due to the graphics card, and rarely has anything to do with the monitor used (unless that monitor is so old that it truely is incapable of higher resolutions). > > I am loading them back from a .gif The file you sent me does have the special trailer information within the GIF file, where the FractInt related information is stored. I was able to load the image, then turn-around and save it as a PAR file. (See instructions at the bottom of this email.) > > I am running WinXP SP2 patched to the hilt. > Video Adapter: Radeon VE Version 6.13.10.6006 > I was using VGA/MCGA 320 X 200 @ 256 colors. > Have not tried running the MAKEFCFG.EXE program; > mainly because I really didn't understand what > that would do . . . It should rebuild the FRACTINT.CFG file with the particualr settings unique for your system. This is where the video resolutions are kept as options when you choose within FractInt. > > I have kind of just gone down the list. > Most of them say what I am doing requires > 256 colors, which I would want, anyway, > but the ones that ARE 256 colors are higher, > but those are the ones that error out. > > Mostly it gives an error: "That video mode > is not available with your adapter. Any Key > to Continue." Here is what I did to get around your situation: 1. Use the <r> key to "load image from file". 2. Once it has been displayed, use the <b> key to "save current parameters" to a PAR file with a image name matching the loaded GIF file. 3. Once the parameters have been saved to disc, use the <@> key to "run saved command set". You will need to navigate to the PAR file and choose your named image. 4. Now, use the <DEL> key to make choice of the SFn SuperVGA video modes, such as SF5 or SF6. 5. If this works, then try some of the other higher resolutions available. I was able to easily get 1024 x 768 @ 256. But this machine I used would not go further without resorting to Disk Video Mode. Sincerely, P.N.L. ------------------------------------------------- http://home.att.net/~Paul.N.Lee/PNL_Fractals.html http://www.Nahee.com/Fractals/

2 4

Re: color maps
by jackoftradez＠comcast.net 06 Jul '06

06 Jul '06

NY1 who can? Is it possible to get a fractint map that shows gold-silver-copper colors, so the fractal would look metallic? I have tried, failed and given up. I don't mean grey and brown - I mean metallic. Is it possible? Also, I have upgraded and posted the E+89 mandelbrot zoom. It is extended, runs longer, and is 2 long slow sequences instead of 7 short fast ones like before. Also much better colors. A much better viddie I think, I have replaced the original. JoTz

4 3

Re: Metal Maps
by jackoftradez＠comcast.net 06 Jul '06

06 Jul '06

Dave, thanx 4 the offer, but I really cant go thru 450 map files! I already have HUNDREDS and I go thru MANY MANY before I ever find a good one, which is why I make my own, even if they arent so good always. If you can select out the metal ones you have, zip and email to me. If I use one in an animation I will sure give you credit. JoTz

1 0

FOTD 06-07-06 (FOTD for 06-07-06 [6])
by Jim Muth 06 Jul '06

06 Jul '06

FOTD -- July 06, 2006 (Rating 6) Fractal visionaries and enthusiasts: Due to some unexpected work, today's discussion will be brief. Today's image is a scene in the oversized fractal that results when various negative portions of Z^(-1.15) and Z^(-11.5) are combined and (1/C) is added. After consideration, I rated it at a 6. I gave it no name other than its date of appearance. The render time of over 38 minutes on my 11-year-old fractal machine is admittedly slow. Relief is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completed GIF image has been posted ready for download. The weather continued summer-like here at New Fractal Central on Wednesday, while the new fractal cats played like kittens. The next FOTD is scheduled to appear in 24 hours. If all goes well, it actually will. Until then, take care, and fractals just might last forever. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_06-07-06 { ; time=0:38:34.89--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+10.83916438223038000/+1.69995367344332\ 000/6552735/1/-135/1.2953864312298391e-005 params=-3/-1.15/-0.3/-11.5/0/0 float=y maxiter=4000 inside=0 logmap=677 periodicity=10 colors=000auncuheubguYiuSktMmtHotBqt5st0fU3V36YAB_\ GGaMKcTPeZTgdYikakqfmwjhqddl__fVWaQRXLNRGIMBEH6IKA\ MNDPPGOQLNRPMRTLSXLSaKTeJTiIUmIUqISkIQeIO_INUILOIJ\ IIICHECGACG7CF3CF0CE8JEFQDMXDTcC_jCfqCmxAjy9gy8dy7\ ay6Zy7`q8bi9ca9eUAfMBhEBi6CgACeDCcGCaJD_MDYPDWSDUV\ ESYEQ`EOcEMfEKiJI`OGSPGFTFKWFOZFTbFXeF`hEelEioEnrE\ rxBxuEvrHuoJsmMrjOpgRoeUmbWl_ZjVdoY`i`XdbT_ePVgLPj\ HKlDFo9Aq65n86lA7jC8hE9fGAdIBdGDbJB`LA_O9YQ7XT6VV5\ UY3S_2Ra1Q_8QYFQWMQUTEVfQSZaQRlOJdKPXGVQC_I8eA4k31\ p8BrCLsHVuLdvQnxUxyQfuNPrH4nK8oNCpQGpTJqWNqZRraXsd\ `sgctjfwmiwpkurmutmtvntxotyotxnqtmnpkimifjgbgf_ddW\ acTZaPW`MTZIQYFNWBKV8MW9OW9QXASXAUYBWYBYZCZZC`ZCb_\ Db`zd_Df`Eh`EjaFlaFHx2Kv3Mt4Ps5Rq6To7Wn8Yl9_jAbiBd\ gCfeDidEkbFAJ2KO6UT9cYC3Ol7QiBRfESdITaMUZPVXTWUWXS\ __PcbMfeKjhHMkAPnBRqBTtCWwCYzD_zDbzDdzEfzEizFkzFTz\ oWzjZze`laczXfzShzOkzJczp } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

FOTD for 05-07-06 Rating [7])
by Jim Muth 05 Jul '06

05 Jul '06

FOTD -- July 05, 2006 (Rating 7) Fractal visionaries and enthusiasts: Today's image rates a 7 -- not bad for only the third fractal after the resumption of the daily FOTD schedule. I have not yet decided to resume naming the FOTD fractals, so fractal fans will have to be make do with the date as a name. Their dis-satisfac- tion should not be too great. One picture is said to be worth a thousand words, which means that one evaporated fractal should be worth at least ten words. Today's fractal is indeed an evaporated one, which means that all the escaping 'outside' parts have vanished, leaving only trapped 'inside' stuff. But as today's image shows, trapped 'inside' stuff can be made quite interesting. Today's all-inside scene was brought to life by rendering it with the inside option set to 'bof61', by far the best inside option to use with evaporated fractals. The parent fractal was created by combining various portions of Z^(-1.5) and Z^(-11.5) before adding (1/C). The render time of just under 8 minutes is marginally slow, but the wait may be avoided by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Cloudy, warm and muggy weather, with a temperature of 84F 29C, accompanied by intermittent showers made conditions less than ideal for the big Independence Day fireworks displays here at New Fractal Central. The noise of the illegal firecrackers kept the fractal cats hiding under the bed for most of the day. They were reluctant to come out even when they heard the can of tuna open, but hunger eventually won out, and they cautiously reappeared to ask for their treats. But despite the minor annoyances, my day was enjoyably relax- ing. I actually found a couple hours with nothing to do but watch the shuttle launch on the NASA TV channel. Too bad I'll never have the chance to go into space, but neither will 99.99999..... percent of the other people on earth. Seeing so much energy expended for such a small result makes me glad that fractals consume almost no energy. The next FOTD will likely appear in 24 hours, until then, take care, and let's send fractals into space instead of people. Fractals weigh nothing; think of the energy It would save. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_05-07-06 { ; time=0:07:53.18--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.94455032376392700/+0.986511361200300\ 10/2.119103e+008/1/52.5/0.000212990910537419476 params=2.5/-1.5/0.25/-11.5/0/1e+100 float=y maxiter=1000 inside=bof61 periodicity=10 colors=000HarBgv0007nv8nr9nnAnkCogDocEo_FoXIbcLRiO\ EoR2uNCtKMsGWrDeqAnpCjjDgeEd`G`VHYQIVLJSGOXJTaMYfO\ bjRgoTltWpxY0QsASnKTiUUdcV_mWWgaYafZXk_Rp`MuaPrXSo\ SVlNYiI000bd8`YD_SHZMLXGPWATV4XpxQqqSqjUqcVqXXqQYq\ J_qC`lBahBadAb`AbX9cT9cUGbVN`WU_X`YF2LJ9NMGPPNRSUT\ V`VZTmYVjYXhYZfY`dYbbYd`YfZiTPgWReYSc`TabV_eWVj_00\ 0WiZXhYXhYYgXYgXuKSiWVgfEegHdgKbgNagP_gSZgVF54PPJq\ OimSfiWce_aacZIjzKivMirOhnQhkShgUgcWg_6q3Bo8GmDKlI\ PjNUhS58q9DnDHkGMiKQfOVcG4GA2IE3RH9RJESMJTOOURUUTZ\ VWcWN586JN000hzZBg6FoBJoFNrKRgOVgTr3CkHJdVQ5EWKTXt\ M3nSBhXIbbQUzOzzRzzTXzVQA8PFCPJFUNIURLTWOT_RTcUl`X\ XG9YCoYSefandcjbdf`ecZf_p1Wh9XdGX`NXWUXS`Xzs0XmzXl\ zXxzYzzYhXzm0fcXddXceXamz`fXZgXF9RIESckfjfxYXgLNSM\ MSMMSNLSNLSNLSSMUXNVaOXePYjQ_oR`sSarUfqWkqXppZup_z\ lauicqfdlcfh`hcYi_d8A000`QMZZSIC7KGBKEZ61lLL__dNmx\ AljGlYMkLSk8YdEbZKfTQjNWn } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

Re: ZooM into Muth FOTD 06-04-05
by jackoftradez＠comcast.net 05 Jul '06

05 Jul '06

Lee Skinner, Hal Lane, P.N.L. are complaining noone does any work here. Well, I rendered it and it is posted: http://www.fractal-animation.net/special/new.zip and it is AWESOME! Loox like some Alien Manta-Ray, or primitive sea-creature from the late Silurian. Cool map too! JoTz.

2 1

Re: codecs
by jackoftradez＠comcast.net 04 Jul '06

04 Jul '06

jimmckenzie complains: ""Jack I can't play the bigger one. Real Player sez it's not encoded with a supported codec. Can I D/L this Codec somewhere?"" WHY anyone uses real player for anything is a question for a better philosopher than I. Try RIGHT click the file, you should see a menu with "play with" or "open with" etc. Choose windows media player. If it opens a file, and it needs a codec, and you are online at the time, it will automatically download it (usually from microsoft) and install. Unless you have disabled this feature, in which case you should un-disable it. It was hard encoding this viddie, it is "too complex" and the codec used was the only one that worked, the same one used for the universe viddies.

1 0

Zoom into Jim Muth's FOD 06-04-05 - Fractal Amoeba
by Hal Lane 04 Jul '06

04 Jul '06

########################################################## Yes, I know, I should have calculated and posted this image while Jim Muth was moving. The image reminds me of a fractal amoeba I once knew... If anyone calculates this image please email me, or post a quick message to the Fractint group or the Philofractal group. If no one ever calculates any of the images that I post I may consider not posting further images. Also, is there anyone who would like me to post a short 'cheat sheet' for how to use a parameter file with Fractint to automatically create the parameter file's image? - Hal Lane ######################### # hallane(a)earthlink.net # ######################### START PARAMETER FILE======================================= FOD060405zoomC_hhl { ; Hal Lane 5Apr06 20:16 P400 1024x768 ; Zoom into Jim Muth's FOD 06-04-05 ; Damiscena Korwin's leather gem ; color map, rotated & modified. reset=2004 type=formula formulafile=_pastarc.frm formulaname=mandelbrotmix4 function=ident passes=1 center-mag=-0.31443808942709240/+0.00015068177499027/44\ 22733/1/45.0000000027556197/-5.18644107522225895e-009 params=1.4142/3.1416/-1.618/2.7183/0/0 float=y maxiter=2000 inside=0 logmap=180 periodicity=10 sound=off colors=YD0fM5<3>ZG4XE3WC3000<4>000<3>000LA0<3>dU0jZ0oc0\ uh0zm0<3>zb0z_0zX0zU0<3>`F0UC0O80H40<2>A4773A73C<3>56K4\ 7M48O39Q2AS<8>9QaASbATc<3>E`hFbiGdi<3>JklKmmJkj<7>CURBS\ OAQM<3>6GB5E86G9<9>EWHFYIGZJ<2>JdMKfNLhM<5>bmDenBhoA<3>\ ts3wt1sr2<5>Zf8Vd9SbA<3>DVF<4>CPCCNBCMA<2>BI9BH8BH8<3>A\ E79D6DE6<3>UI9YJAaLBeMCgODjQF<3>nXFoZGp`G<2>seG<15>dL4c\ K3bI2aH1`F0`F0<5>UA0T90S80R80Q70P60<3>L30K30J20I10I10<1\ 6>UB2UB2VC2<3>YE3<3>Q82O61M41<3>Q71R81S91fM5<4>jP5kQ6jP\ 6hN6 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE========================================= ########################################################## -- No virus found in this outgoing message. Checked by AVG Free Edition. Version: 7.1.394 / Virus Database: 268.9.8/381 - Release Date: 7/3/06

3 2

Re: FOTD 6-9-06
by jackoftradez＠comcast.net 04 Jul '06

04 Jul '06

IMHO Jim Muth FOTD 6/9/06 is underated, in fact, unrated. I would give it a solid 8. In fact I like it so much I did a ZooM + Color Cycle animation. And you can fetch it here: http://www.fractal-animation.net/vid/afb320.zip 4.8 meg http://www.fractal-animation.net/vid/afb640.zip 14.6 meg Happy 4th ! (try to remember what it REALLY is about!) To Hell with the U.N. !!! Whatever. JoTz

3 2

FOTD 04-07-06 (FOTD for 04-07-06 -- Rating [4])
by Jim Muth 04 Jul '06

04 Jul '06

FOTD -- July 04, 2006 (Rating 4) Fractal visionaries and enthusiasts: With today's image I have resumed rating the FOTD images. The rating of a 4 is not a very impressive start, but it is better than no rating at all. In a few days, if all goes well, I will resume naming the images. I actually seem to have gotten a bit rusty during the several months we were occupied with moving Fractal Central. The images seem to be fighting me. No longer do they come almost automati- cally. But I am sure it will be only a short time before I am back in top fractal-finding form and writing philofractal discus- sions worthy of an avatar. Today is not that day however. The notably unimpressive image pictures a midget in the Z^(sqrt(2))+C Mandeloid as it appears 16 levels up the unending logarithmic ladder. If I had named the image, I would likely have named it "Splat". The overall impression is one of a paint-ball splatter. I used only the most basic rendering method. Any fancy stuff would have been wasted on an image with this degree of chaos. The 7-minute render time might seem slow to those whose time is important. If so, save time by downloading the finished GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Typical summer weather prevailed again here at New Fractal Cen- tral on Monday, with partly cloudy, hazy skies, opressive humidity, and a temperature of 88F 31C. The new fractal cats were unconcerned with weather however, since they do not yet go out. They were more concerned with the occasional fire- cracker that went off in the neighborhood. When the going got too loud, Cassie ducked under the bed; Nico ran to the window to see what all the noise was about. The next FOTD fractal will appear right here in 24 hours. We will try to produce one that rates at least a 5. Until then, take care, and the best way I know to find enlightenment is to start a low-calorie diet. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_04-07-06 { ; time=0:06:54.41--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 periodicity=10 center-mag=-0.56705025697611/+0.08051017688019/7.9\ 29609e+008/1/-162.5/-5.889938137216e-008 logmap=168 params=1.4142/0/16/0 float=y maxiter=5000 inside=0 colors=000JU_sANhEPYHRNPT_V4OTIdTfVsGQjKLbOGVS6niK\ 1DH9JEGPpLrWMffgJZaMRXPJSSkvzUdjzC8mFEUIKWBcO5ZWSO\ mzDanI`cNZWSYRWQMYJKZUB6rmUkdK_ZOOTSqa8XUKkwx_jnOZ\ dLdYIZXFTWzfMZUR98cBGZGxnErgDfkkBAbEGUHLLKQf0YRCWz\ U0VE8PHGIKOEPIy3l`DcUF3PHALJHGLOzWemTb`R_OPX7U29SA\ AQHzZzdXRdobXg`Q`ZJUX8lQ9eSA_TBTU5RW8_nATduCyILuGM\ lENcDWHssbfm9R_KV9y2gT7XUrftc_kQTbQjwMdoJZhFTawezk\ `z_WjORbrk6uaVZUV3oE6gJ8`NAURReJN`MJWzFRS6yz8lzA_z\ 3_z6Wz8TzAQzOLzdBzXEzQHzJKzg6zSFzzeziZzTTaMwVHdVZK\ 7TLDNMJHNPWD_RGzMIzHLzM1zJ7zHCzEIzYazNUIqELrJQs_ct\ W`uZZvcXwgUxh8ymKzq4ztDzwMzz2zzOzzRzzTzzazzzzzjzzB\ zzGzzLzzQzzIzzNzzRzzozzdzzwzztzzgzzkzzbzzqzzKzzOzz\ Szz2zzCzzMzz7zzozzhzzazzVzzVzzdzzazz_zzXzzrzzlzzfz\ z`zzLzzPzzSzz6zzJzzTzzUzzUzzVzzuzznzzgzz`zzrzzlzzf\ zz`zzWzzVzzHzzOzz9zzKzz5zzCzzIzzPzz7zzJzzGzzKzzOzz\ SzzbzzHzzLzzOzzSzzozzizzd } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*floor(p/(2*PI)) r=real(p2)-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

Fractal web site
by David Dollevoet 03 Jul '06

03 Jul '06

My fractal web page is updated for 2006-07. http://www.djd-fractal.com David Dollevoet

1 0

FOTD 03-07-06 (FOTD for 03-07-06 [No Rating])
by Jim Muth 03 Jul '06

03 Jul '06

FOTD -- July 03, 2006 (Not Rated) Fractal visionaries and enthusiasts: Great news! The FOTD is back, and almost on schedule. For several weeks, the world's fractal fans have been wondering what happened to the FOTD. Speculation runs rampant. Some have said I suffered a terrible accident; they are wrong. Some have said I have exhausted my interest in fractals; they are wrong. Others have said that after 16 years I have finally given up on an antique program known as Fractint; they are also wrong. Still others have said that the four fractal cats are a fantasy and I have been trying to avoid being exposed as a fraud; they are very wrong. And BTW, the cats do not appreciate those who doubt that they exist. The truth is that the confusion of the big move has left me with no time for fractals and limited internet access. But the move is now virtually completed. The stuff that was inadvertently left behind at OFC has been found and brought along to NFC. The FOTD is ready to pick up where it left off several months ago. So take heart fractal fans, today's image may be nothing excep- tional, but it is only the first of many to come. And also take heart fans of philosophy. I have been very busy these past several weeks, trying to locate the missing stuff, but not too busy to think some new and rather strange thoughts. And take note -- my ideas are not all total kookiness. Some of them might hold the answer to the riddle of the multiverse. As for today's image, it is nothing exceptional, only a semi- evaporated scene in the fractal that results when various nega- tive portions of Z^(-1.15) and Z^(-11.5) are combined and (1/C) is added. To add a bit of interest, the 'inside' parts of the image have been rendered with the 'bof61' option. The render time of today's image is in the 9-minute range, which makes it only slightly slow. I assume that as always, the image has been posted in completed GIF form on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather here at New Fractal Central is typical summer stuff. All four fractal cats are doing fine. The two old guys are taking it easy back at Old Fractal Central; the two young guys here at New Fractal Central are getting into the trouble only cats can get themselves into. Nicholas, (Nico for short), the oversized black British shorthair, loves to leap on shoulders, which is quite endearing except when the person moves and he digs in with very sharp claws to keep from falling off. Cassie, (short for Cassandra), the small grey lady who keeps Nico well under control, has a habit of dragging her food out of the food dish, usually onto the dining room carpet, before eating it. But like the old fractal cats, the new guys enjoy their tuna treats. Nico and Cassie have still not been permitted to go outside. That will wait until we become more familiar with their ways and with whatever hazards for cats the new neighborhood might hold. The next FOTD will appear in 24 hours. The fractal quality will pick up as I settle back into the old daily routine over the next few weeks, and my fractal muse returns to life. Until tomorrow's (hopefully) glorious image appears, take care, and reiterate. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_03-07-06 { ; time=0:09:33.81--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.21353586849605940/-4.204590235416123\ 00/5687258/1/-25/-7.82608807758933267e-008 params=-1/-1.15/-0.1/-11.5/0/5000000000000 float=y maxiter=1500 inside=bof61 periodicity=10 colors=000Xa`Vb`Uc_Te_Sf_Qg_PiZOjZNkZ5Sr6Tq6Tq6Tq6\ Up7Up7Up7Up7VoKLTKMXKOaKQfKRjKToKUsHRrFOrDLqBJqAQp\ 9Wo9an8hm8nl7tk7zjFtfMnbTiZPZRMPJJUIGYHDaGBfF8jE5n\ D3rCN`AfJ9z28x1Dv1IuTnZShkRcgQZbPTYOOUNJ`SGgXDnaAu\ f7wb5xZ3uT8rNDpIImCNj6Sh1XRQHAm29l79kC9jH8iM8hR8gW\ 8f`7hT6jM5lE5m79lDClJFlOJlUMl_PldTf_X`V`VQdPMhJHlD\ Co78l6Di6If6Nc6S`6XY6aX8cX9eXAgXBiXCkXDmXEn`ImcLmg\ OljRlnUkqXkt_koVhjRfeNd`JbXF`hBit7rq8rn8rk9rh9re9r\ bAr_ArXArXMWXXARa8Ke7Ej58n32r24s15s17s18t1At1Bt1Ct\ 1Eu0Fu0Hu0Iv0Kv0Lv0Mv0Pt5Rs9TqEVpIXnMZmRakVcj_ehcg\ ggielkdpmctk_riXpgUneRlcOjbLi`IgZFeXCcV9aU6`RBTPFL\ MJDKN5LP6MQ7NR8OS8PU9QVARWBSXBTZCU_DV`EWUEXcFY`GZe\ H_lH_fH_oIZfIZfJZfJYgJYgKYgKXgLXgLXgMWhMWhMWhNVhNV\ hOVhOUhOUiPUiPUiPozQmzQzzRSzRfzRSzSRqSRpTRgTQjUQhU\ QgUPeVPcVPcWOcWOdXObXNlXNlYNlYMlZMlZlKdjMciNchOcgQ\ beRbdSbcUbbVa`Wa_YaZZaY_` } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

1 0

The light is in sight
by JimMuth＠aol.com 30 Jun '06

30 Jun '06

Fractal fans: The problems connected with the move are in the process of being resolved. The fractal drought will end within a few days. All four fractal cats are doing well. Take care, and see you in about three days with a glorious fractal to start things off. Jim Muth

3 2