October 2005 - Fractint - mailman.xmission.com

Fractint version 20.04 patch 2
by Jonathan Osuch 08 Oct '05

08 Oct '05

The executable file for Fractint version 20.04 patch 2 is now available on the developer's web site www.fractint.org. The Xfractint source is also available. What's new: Fixed the display coordinates so they won't change, after an image had been zoomed, when the maintain screen coordinates parameter is set to yes. Fixed the corner parameter screen and image parameter screen so that rotating and/or skewing now doesn't get reset when changes are made. There are no diff's available yet. I'm working on it. The just around the corner version 20.5 is intended to be an official release. If you see problems with the current zip/tar files, please let me know so that I can fix them. Jonathan

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Re: FOTD 06-10-05 (Harmageddon [7])
by Jim Muth 07 Oct '05

07 Oct '05

At 12:05 PM 10/6/05 -0500, Paul Lee wrote: >Do you have enough of these [old, unused] formulae >so that this month's theme could continue on till >the end of the year (or longer)?? :-) I have virtually an endless supply of old forgotten formulas that I have never used as a source of FOTD images. The problem is finding those that were discarded prematurely. Many of these old formulas merely duplicate things that later formulas such as MandelbrotMix4 do better. Others are steps on the way to the final formulas that explore the oblique slices of the 4-dimensional Julibrot. But the remainder are actually useful formulas that have never been given a fair chance. I don't know how many of these potentially useful formulas I have in cold storage. The only way to find them is to try them out one at a time, and see what happens. This takes time. But I suspect, that I will find enough to last to the end of this month at least. For now, it looks like the theme of old resurrected formulas will continue indefinitely. Jim M.

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FOTD 07-10-05 (Almost an M-set [5])
by Jim Muth 07 Oct '05

07 Oct '05

FOTD -- October 07, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's resurrected formula was never quite as dead as some of the other formulas in the jim.frm file, which is where I store the formulas that I have almost but not quite forgotten. I have already used it a number of times to create FOTD images. But like most of the other half-forgotten formulas, I have no idea what I was trying to accomplish when I wrote it. Actually, this particular formula holds quite a bit of potential. It could be the most under-appreciated in my vast collection of near-forgettable efforts, and certainly deserves a place in my active allinone.frm file. With the inside set to number zero, the formula draws nothing but empty circles, regardless of how the parameters and function are tweaked. But when the inside is set to an active fill, such as the 'bof61' of today's image, the empty circles are filled with strange and often totally unpredictable fractal patterns unlike anything seen in normal inside-outside images. The bof61 fill colors the pixels according to the number of the iteration that takes that point closest to the origin. Today's image, which consists entirely of 'inside' material, is named "Almost an M-set". While studying it, I noticed a shape in the center that looks like it is trying to be a midget Mandel- brot set, but is not quite making it. It comes close enough however to be the source of the name for the entire image. Trying to rate the image proved more difficult than expected. When I first saw it, I thought, wow this is great -- it rates an 8! Then I looked again and thought, now what's so unusual about it -- it's just another fractal like I've seen hundreds of times before, and it rates only a 3. I finally decided on a rating of an average 5. That way I could not be too far off. The render time of 4 minutes is acceptably fast for an average image. Simply copy this letter into your Fractint directory (folder) with a .par extension, and run it as you would any other parameter file. If something goes wrong, do not panic. Simply go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the completed image from there. The clouds hung heavy all day Thursday here at Fractal Central, with short light showers at frequent intervals and a high temperature of 77F 25C. Though only 0.04 inch (1mm) of rain fell all day, the grass stayed wet, making it just another rainy day from the cats point of view. They passed the day on their shelf by the window, wishing it were a better day. Today is starting with flood warnings in effect. This does not bode well for the cat duo. For me things look quite average. The next FOTD will appear in 24 hours. Until then, take care, and where was today's fractal hiding when the (theoretical) big bang happened? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Almost_an_M-set { ; time=0:04:12.66--SF5 on a P200 reset=2004 type=formula function=cotan passes=1 formulafile=jim.frm formulaname=Mystic2 center-mag=0.0482742/5.55112e-016/11.46736 params=-1/3.2/-2.4/-1.6/4.5/0.0025 float=y maxiter=95 inside=bof61 periodicity=0 colors=000ebLaTHOHmQIZ1kYOKdSNiVVUD4FK9EREEddQaXMz\ _IjcWl55h98dCA`GCj3Qe9MaEIe7ZaRB`PC_NDZLELOZRaLYVm\ YRaYNQs82_cmZXaYQQsiT3tpcVMaRJ_NG4N7dbgDZuzqWk_Ntj\ 1aVl`Sc_PVZMMijBe3Rc7NaBK_FHzPfIYcMUXQQRUMKKc6PX9U\ QC9MwGLkMK`SJPSFBUHCWIDLknQaaUSQ7AmGDaPGQGA61T1IO8\ nmkeYV1vSR7cUBVWFMPJRSJMVJI_sJZfHYVF84eF8ZLCSSGL3k\ Hayi_jZZXOfdxcZlaU`_OP35qEAcOFRwZ9nTBeODRXjTTaVQUX\ MMm5JIm`MeVQYPUQJdfAb`B`VCZPDjh9TJPc7y`DaqwNjiKcWH\ puqZX6_26Z78ZBAYFCjeJcUGuuOmhKeWHerWbfQ_VKZSIYPGYM\ FMVQOrGSfFVVEQGHWy_BZcKkPTxBSpQRhdRareYVsV7fPBVJFJ\ DJQFRWHZaJe_JWcILZJNk`1dS8b9jOCwREkTG`WIPwdvpZjjU_\ cOPYL6tsL`Mx_LlZK`YJPLJUPJQSJMVJIJYwNUkRQ`VMP8PMQV\ wSSkUP`WMPm0Zi5TeAOaFJ9KA5CcKGR6GtKIZuoTofPiZLcRH3\ 5ZGanMVaSPQz0ir5akAUdFMFyxPc`HMTKUbROQrf`l`VgVPbPJ\ ckfacZ`XSZQLjgAcVCQFMTHJWIGOfCSZDVREaQN`OK_MIZKGQ`\ ETVEWPEZeBPlISbGVTFmvSilO } frm:Mystic2 {; Jim Muth a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), k=real(p3), f=imag(p3), g=pixel, z=(pixel)^a+(b*(pixel))^c: z=(fn1(z)+(d*(g)))^k+(f*(cos(g))) g=sqr(g), LastSqr <= 100 } END PARAMETER FILE=========================================

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

06 Oct '05

FOTD -- October 06, 2005 (Rating 7) Fractal visionaries and enthusiasts: The old discarded formula I found for today is named 'cascade'. I have no idea where the formula came from or what it is supposed to do, but with no changeable parameters, it could not be expected to do much. I rendered today's image with the inside set to 'fmod' and the proximity set to the excessive value of 1000. The result was rotated 90 degrees and stretched slightly in the horizontal direction to produce the final result. The name "Harmageddon" is a play on the word 'armageddon', which refers to the final decisive battle that some religions expect to soon take place between the forces of good and evil. While yesterday's image was held back by its coloring, today's image is raised a full point. There is really nothing in the image worth a rating of 7, other than the coloring. The render time of 2 minutes is fast enough, but the download of the image is even faster. That download may be found at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The cloudy skies that started the day on Wednesday here at F.C. turned sunny by afternoon, letting the temperature rise to 79F 26C and giving the fractal cats ample time in the yard. Today is again starting cloudy, and I doubt that we'll see any sun this afternoon, but the cats are cautiously optimistic. It takes little optimism however to believe that the next FOTD will appear in 24 hours. Until then, take care, and see galaxies. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Harmageddon { ; time=0:02:12.97--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=cascade passes=1 center-mag=3.40153/0/0.1820513/1.5625/90/3.886e-016 float=y maxiter=101 inside=fmod proximity=1000 symmetry=none periodicity=0 sound=off colors=000rhSkdWd``XXdQTiJPmCLqHKpLJpPJp2Nj4Qm6Sp7\ Ur9XuBZxC`z9fx6kv3pt1usCklNbeYUZhLSdJWaI_YGcVFgSEk\ OCoLBsIAwKUZMmBJZGHKKF5OH4UJ3ZL3cM2iO2nQ1sR1xV7uYC\ r`IocNmgSjjYgmbdpgbo`ZnUWnOSmHPmBMdIXWOfOUpU_k_dge\ ibkoZqtUvyQmwSeuTXsUPqWGoX8nYWXhsFsIi_OhUTgOYfIbeC\ edJhcQkbXnacq`js_q3Zv2fq1nm1viEtmRsqcquopyqnxrmxsk\ wtjwvhvwgvxeuyduW6LZHIaSFcaCfl9hv6guAgtEfsIfrLeqPe\ pTepWFeAFfGFfMFgSFgXHhSIhOJiKKiGMiCNj8Oj4Pj0Uc6ZXB\ cRGhKMmERr7Wv1`r6ZoAXlEViITfMRcQP`UN`UOaUPoCUs4UkB\ MdHFYN8ZP7_R7_T7`U7`W7aY7aZ7RRDGJIIKGKLFMMEONDQOBS\ PAUQ9WR8VNCUJFTFISBLS8OColImnOlpUkr_itehvjgwmcmo`c\ rXUtULoXIj_GebEpVSzNdvSbrW`n`_jdYfiWbmVZrTWvSSpPOj\ MKdJHZGDTD9NA6I8CMEIQKOUPUYV_a_eeekijmhhnhfogdpgcq\ farf_sfZl`_eV`ZPaSJbLDcE7d81dB5`D9YFDUIHRKLNMPKLTJ\ KWIJZIIaHHdHOgKViM`kPgnRnpUtrWbgMLYD3O4DE8MHBWEFdB\ In8Mw5Pr6Nm7Mi7Ld8J_9IW9H } frm:cascade { ; z=c=pixel: a=sqr(z)+(c-1)*z-c b=3*sqr(z)+c-1 z=z-2*a/b, .000000000000000000000000000001 <= |a| } END PARAMETER FILE=========================================

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FOTD 05-10-05 (The Same Root [5])
by Jim Muth 05 Oct '05

05 Oct '05

FOTD -- October 05, 2005 (Rating 5) Fractal visionaries and enthusiasts: For today's flashback I chose the 'FrankJim04' formula, a formula I wrote quite a while ago, played with a few days, then promptly filed away and forgot about. Unlike nearly all of my formulas, it has no changeable parameters. When a real number is raised to a power and the same root is extracted, common sense tells that the result is a return to the original number. But complex numbers are strange. Some complex functions, such as the logarithm function, are multi-valued. This means that the calculation might take a wrong turn, and we might not always get back to the exact place where we started. The iterated expression in today's formula is ((z^z)^(1/z))^2, which takes Z, raises it to the power of Z, then to the power of 1/Z, and finally squares the result before adding C. One would expect that this would be just a more complicated way of calcula- ting the Z^2+C Mandelbrot set, but those multi-values do strange things. The parent fractal of today's image bears some resemblance to the Mandelbrot set, but it most certainly is not the M-set we know so well. Some parts of the original set are missing, and a good bit of extra stuff has been added, while the iteration bands have broken apart into total chaos. Today's scene is located in the extra stuff found in the East Valley of the parent almost-M-set. I named the picture "The Same Root" and rated it at a 5. If I had put more effort into the coloring, I might have produced a 6 or even 7-rated image. But the work has been a bit on the heavy side lately, and I did not want to fall behind, which would mean another of those much-hated FOTD hiatuses. The render time of 9 minutes is a bit slow, but the finished image is available for perusal and downloading on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The clouds hung tough all day Tuesday here at Fractal Central, even dropping a few small drops of rain from time to time. But the temperature remained around 75F 24C most of the day, which is right in the comfort zone of the cats. Despite the dampness they spent several hours in the yard, and needed little tuna to end the day happily. Today is starting about the same. The next FOTD will appear in 24 hours. Until then, take care, and open your eyes to what lies before them. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Same_Root { ; time=0:09:04.26--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=FrankJim04 passes=1 float=y maxiter=950 center-mag=+0.25597317684299750/-0.000200259583298\ 25/5.400547e+007/1/-162.5/-1.00481606299385184e-008 inside=0 outside=tdis periodicity=10 colors=000CpkArl8tl6ulsNirLfqKdpJapI_oHXnGVmFSmEQl\ DNkCLjBIh9EjAGkAIlAJmBLnBNoBOpCQrCSsCTtDVuDXvDYwE_\ xEayEbvGasIapKamMajNagPadRaaT`ZV`WW`TY`Q_`Na`Kb`J`\ YI_WHYUGXRFWPEUNETKDRICQGBPDANB9M95N49L7hKAcJDZHGW\ GJSFMWEP_CScBVfAYj8`n7cr6fy2lu5iq7fnAdjCagE_hHaiKc\ jNdjQfkThlWimZkmalndnogppjqpmsqpursvsvxsxymtthppcl\ lYhhTddO``I_WJXXKVXLTYMRYNPZOMZPK_QI_RG`X1eRE`LQXG\ bSAnO5zK7xN8wQ9vSAuVBtYCs_DrbEqeFpgGoj9umHnlOhkWaj\ bWijPhqJgxDftHcpKalNZhQXdUV`XSY_QUbOQeLMiJIlHEoEAr\ C7uACvIGvQLvYPweUwmYwtYfqYRnb7pYBkUEgPHbLKZHNVLJ`O\ FeJ9jRCjZFjfIjpJlmLjkNhhPffRdcTbaV`ZW_XYYU_WSaUPcS\ NeQKgOGiLIhNKhPMgROgTQgVSfXUfZUtcWf_XTWYFSpaSZ1Pa3\ Nc5Me7Lh9KjBJlDIoFHqHGsJFuLErKHoKKlKNiJQfJTcJW`JZY\ IaVIdSIgPHjMHmJHpGHsJJpMKmPLkSMhVNeYOc`P`cQZfRWiST\ lTRoUOrVLuWJxXGzYEwZFuZGrZHpZImZJk_Kh_Lf_Mc_Na_OZ`\ PX`QU`RS`SP`TN`UIkjGmkEok } frm:FrankJim04 {; by Frank and Jim z=c=pixel: z=((z^z)^(1/z))^2+c, |z| <= 100 } END PARAMETER FILE=========================================

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FOTD 03-10-05 (Brainbow [7])
by Vortex Swirling 04 Oct '05

04 Oct '05

The formula for 03-10-05 seems to have gotten cutoff on the FOTD web page. If you use it as it is, it creates a different image. It reminds me of what astronomers call pillars of venus. http://rogerkaufman.mystarband.net/FRACT001.GIF Just in case it gets corrected soon, this is what it looks like to produce this fractal. I added the last bracket. Brainbow { ; time=0:07:26.60--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=TestZero function=cotanh passes=1 center-mag=-7.88766/0/0.07092536/1/-90/0 params=2/0/3600/0 float=y maxiter=750 inside=atan periodicity=10 colors=0000AM0AM0BN0BN0CO1CO1DP1DP1EQ1ER1FR1FS1GS1\ GT1GU1HU1HV1IW1IW1JX1IY1KY1JZ1KZ1J_1K`1J`1Ka1Jb1Kb\ 1Jc1Kc1Kd1Me1Le1Of2Mg2Qg2Nh2Qh2Oi2Qj2Pj2Qk2Pl2Ql2P\ m2Pn2Pn2Po2Po2Pp2Pq2Pq2Pr2Ps2Ps2Ot2Ot2Ou2Ov2Ov2Ov2\ Ox2Ov2Oy3Nw3Nz3Nx3Nz3Nx3Nz3Nx3Nz3Ny3Nz3Nz3Nz3Mx3Mz\ 3My3Mz3My3Mz3Mz3Mz4My4My4My4My4Ly4Ly4Ly4Ly4Ly4Ly4L\ y4Ly4Ly4Ly4Ly4Ly4Ky4Ky4Ky5Kx5Kx5Kx5Kx5Kx5Kx5Kx5Kx5\ Kx5Jx5Jx5Jx5Jx5Jx5Jx5Jx5Jx5Jx5Jx6Jw6Jw6Iw6Iw6Iw6Iw\ 6Iw6Iw6Iw6Iw6Iw6Iw6Iw6Iw6Hw6Hw6Hw6Hw6Hw7Hv7Hv7Hv7H\ v7Hv7Hv7Hv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv8Fv8\ Fv8Fv8Gv8Gv8Hv8Hv9Iv9Iv9Jv9Jv9Kv9KvALvAMvAMuANuANu\ AOuBOuBPuBPuBQuBQuBRuCRuCRvCSvCSvCTvCTvCUvDUvDVvDV\ vDWvDWvDXvEXvEYvEYvEYvEZvEZvF_vF_vF`vF`vFavFavGbvG\ bvGbxGcuGcvGdvHdvHevHewHfwHfwHgwIgwJhwKhwLiwMjuNjw\ OkwPlwQmwRmwSnwTowUpwVqwWrwXswYtwZuw_vw`wwawwbwwcw\ wcwwcwwcwxcwwcwwcwwcwvcwv } frm:TestZero { ; Jim Muth z=p1, c=pixel: z=z*c^fn1(z), |z| } -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.344 / Virus Database: 267.11.9/118 - Release Date: 10/3/2005 -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.344 / Virus Database: 267.11.9/118 - Release Date: 10/3/2005

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FOTD 04-10-05 (In a Spin [6])
by Jim Muth 04 Oct '05

04 Oct '05

FOTD -- October 04, 2005 (Rating 6) Fractal visionaries and enthusiasts: When I brought up an old formula named 'Crazy Midgets', I thought it looked strangely familiar. I was searching for a formula I have hidden somewhere that draws small Mandelbrot sets arranged in circles, but today's formula is not the one I was after. The 'Crazy Midgets' formula is actually an early version of the MandelbrotMix4 workhorse formula, and today's image could just as easily have been created with that formula. To produce the parent fractal, 0.2 part of Z^(3) was combined with Z^(-2) and C was added. This parent consists of a somewhat distorted central Mandelbrot set surrounded by a scattering of debris. Today's scene is located on the negative X-axis, in a small cut-off pile of debris. Little more need be said about the image, which speaks for itself. (It's a talking fractal!) The name "In a Spin" has little relation to the image, which holds nothing in the shape of a spiral. It is simply a phrase that came to mind as I was studying the fractal in search of a name. The rating of a 6 is just enough above average to make the effort of running the very fast parameter file worthwhile. The image is also available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted in completed form. Genuinely perfect weather prevailed all day Monday here at Fractal Central, which kept the cats on their best behavior. The cats are happy, but except for the grape growers, the local farmers are starting to complain about the dryness. Today is opening with a low overcast and fog, but it is still dry. We shall see how the day goes for the cats. But regardless of how it goes for them, the next FOTD will appear in 24 hours. Until then, take care, and search for the real thing. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= In_a_Spin { ; time=0:00:36.80--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=CrazyMidgets logmap=34 center-mag=-1.685045559356637/0/1.140448e+008 params=1/-2/0.2/3 float=y maxiter=290 symmetry=xaxis periodicity=10 inside=0 colors=000G8GA5Q52_BETHQMNaFTm8my2Zn4Zd5ZV7PL8TBAZ\ 1BX3EW5HV7KU9MTBPSDSREUXGYaHagJelKirMmwNplS_aWJR_3\ McXHfzRar_YjiTbrPWlUSgZObcKXgHSlDNq9Iu6Qt6Xt6dt6kt\ 6st6zt6qmShflfdjdbhc`faZd`XbWZcS_cNadJbdEdeAee8ah7\ Zk6Wn4Tq3Qt2Nw1Ky9GxGCwO9vV5ua2tOKkBabLOQUBEaKGiSH\ p_IjXOdVUZS_TQdXMd`JddGdgDdk_inumcmgUmaKmWAmQCmVEm\ ZGmbImfKmjMmnOrrQwvSzkUz`WzQYzFZz4VzBSzIOzPLzVIzTG\ zSDzRBzQ8zP6zO4zN5zM6zL6zK7zJ7zJNzGTzLZzQdzUfzXhz_\ izbbzlfzgjzcnz_rzWoz_mzckzgizkgzodzgaz`ZzUWzNTzGQz\ 9Oz2LzBJzJHzRFzZDzfKziQzlWzoazrgzumzxkzrizlgzfezac\ zWazQ`zLWzRRzWMz`HzeDzjFzfHzbJz_NzYQzXTzWWzVZzTazS\ dzRgzQdzSazUZzWXzYPzfHzn9zvEzcIzMMz4Tz6_z8fzAmzCsz\ EozIlzLhzOezRgzVhzZizbkzelzimzmnzplzokzojzoiznhzng\ znfznazgXzaTzWOzPJzJFzDRzHbzKnzNyzQkzTZzWMzZNzTNzO\ NzINzDJzHGzLDzPAzS9zO9zK8zG8zCAzICzODzTFzZHzdIziKz\ oLztIznFzhCzb9zX7zRCzNGzK } frm:CrazyMidgets {; Jim Muth c=pixel, 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: z=(a*(z^b))+(d*(z^f))+c, |z| <= 100 } END PARAMETER FILE=========================================

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Re: [Fractint] Re: Warren, fractal movie
by Russell Walsmith 04 Oct '05

04 Oct '05

Hey, he made a nice, rather extensive animation by saving 244 frames one at a time. http://www.blucowtech.com/mydoc/Pics/fract/fract-mov/ With this kind of devotion, he is worthy to be your disciple or protege. http://www.blucowtech.com/mydoc/Vids/fract/ ----- Original Message ----- From: JackOfTradeZ <JackOfTradeZ(a)comcast.net> To: fractint(a)mailman.xmission.com Subject: [Fractint] Re: Warren, fractal movie Date: Sat, 1 Oct 2005 09:16:05 -0600 > > "good job warren" ? > > What'd he do? There was nothing in my fractint list server email, I think > the file was "scrubbed". > > Sounds like he did an exponent animation. I got that beat - check out > > http://www.sonic.net/~jot/n2p.zip > > > And, as he asked - how do this without rendering the frames individually > manually? > > Use my animation program! > > Stay Cool. It's gonna get hot soon. Really hot. > > JoTz > > . > > > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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Fractal web site
by David Dollevoet 04 Oct '05

04 Oct '05

My fractal web page is updated for 2005-10. http://www.djd-fractal.com David Dollevoet

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FOTD 03-10-05 (Brainbow [7])
by Jim Muth 03 Oct '05

03 Oct '05

FOTD -- October 03, 2005 (Rating 7) Fractal visionaries and enthusiasts: For today's FOTD we break out another long ago and far away formula, this one with the rather uninspiring name, TestZero. As is the case with most of these old formulas, I have forgotten what I was trying to accomplish when I wrote it. But in many cases there is no loss, for there never was a goal in mind. The iterated expression, z=z*c^fn1(z), is simple enough, and the fractals it creates are mostly unimpressive, but once in a while, with the aid of an intelligent human, a notable image appears. Today's image, which shows the entire fractal rotated -90 degrees, is one of those rare cases. The image consists of a blue rainbow arching over a cold land- scape on an alien planet somewhere on the other side of the galaxy. I named it "Brainbow" in recognition of the part a human played in its creation. It is different enough to earn a non-inflated rating of 7. The render time of the included parameter file is 7-1/2 minutes on my cranky old machine. This time will be cut to a minute or two on the newest units that can actually run the file. In any case, the finished GIF image may be downloaded from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With total sun and a high temperature of 79F 26C, the Sunday weather was totally perfect here at Fractal Central, keeping the cats perfect also. My day was uneventful. Today is starting as near perfect as a day could be, leading me to expect another perfect day in all respects. The next FOTD will appear in 24 hours, but take note -- absolute fractal perfection is unlikely. Until then, take care, and don't get over-iterated. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Brainbow { ; time=0:07:26.60--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=TestZero function=cotanh passes=1 center-mag=-7.88766/0/0.07092536/1/-90/0 params=2/0/3600/0 float=y maxiter=750 inside=atan periodicity=10 colors=0000AM0AM0BN0BN0CO1CO1DP1DP1EQ1ER1FR1FS1GS1\ GT1GU1HU1HV1IW1IW1JX1IY1KY1JZ1KZ1J_1K`1J`1Ka1Jb1Kb\ 1Jc1Kc1Kd1Me1Le1Of2Mg2Qg2Nh2Qh2Oi2Qj2Pj2Qk2Pl2Ql2P\ m2Pn2Pn2Po2Po2Pp2Pq2Pq2Pr2Ps2Ps2Ot2Ot2Ou2Ov2Ov2Ov2\ Ox2Ov2Oy3Nw3Nz3Nx3Nz3Nx3Nz3Nx3Nz3Ny3Nz3Nz3Nz3Mx3Mz\ 3My3Mz3My3Mz3Mz3Mz4My4My4My4My4Ly4Ly4Ly4Ly4Ly4Ly4L\ y4Ly4Ly4Ly4Ly4Ly4Ky4Ky4Ky5Kx5Kx5Kx5Kx5Kx5Kx5Kx5Kx5\ Kx5Jx5Jx5Jx5Jx5Jx5Jx5Jx5Jx5Jx5Jx6Jw6Jw6Iw6Iw6Iw6Iw\ 6Iw6Iw6Iw6Iw6Iw6Iw6Iw6Iw6Hw6Hw6Hw6Hw6Hw7Hv7Hv7Hv7H\ v7Hv7Hv7Hv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv7Gv8Fv8\ Fv8Fv8Gv8Gv8Hv8Hv9Iv9Iv9Jv9Jv9Kv9KvALvAMvAMuANuANu\ AOuBOuBPuBPuBQuBQuBRuCRuCRvCSvCSvCTvCTvCUvDUvDVvDV\ vDWvDWvDXvEXvEYvEYvEYvEZvEZvF_vF_vF`vF`vFavFavGbvG\ bvGbxGcuGcvGdvHdvHevHewHfwHfwHgwIgwJhwKhwLiwMjuNjw\ OkwPlwQmwRmwSnwTowUpwVqwWrwXswYtwZuw_vw`wwawwbwwcw\ wcwwcwwcwxcwwcwwcwwcwvcwv } frm:TestZero { ; Jim Muth z=p1, c=pixel: z=z*c^fn1(z), |z| <p2 } END PARAMETER FILE=========================================

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