<= BR>

Get Your Private, Free E-mail from MSN Hotmail at = http://www.hotmail.com.

- ------=_NextPart_001_0000_01C0E4A8.104A0920-- - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 25 May 2001 12:28:58 -0000 From: "Andrew Coppin" Subject: Re: (fractint) C-FOTD 22-05-01 (Shadows [6]) >From: Jim Muth >Reply-To: fractint@lists.xmission.com >To: fractint@lists.xmission.com >CC: philofractal@lists.fractalus.com >Subject: (fractint) C-FOTD 22-05-01 (Shadows [6]) >Date: Tue, 22 May 2001 10:20:08 -0400 (EDT) > > >Classic FOTD -- May 22, 2001 (Rating 6) > >Fractal visionaries and enthusiasts: I'm sorry, I have to reply this time:- That image is trriiiiippppyyy! I like it! I don't know how you calibrate *your* scale of fractal worth (apparently to give a uniform distrobution!), but on *my* scale that rates an 8! Thanks. Andrew. _________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com. - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 25 May 2001 12:33:27 -0000 From: "Andrew Coppin" Subject: Re: (fractint) C-FOTD 23-05-01 (Simply Wonderful [9]) >From: Jim Muth >Reply-To: fractint@lists.xmission.com >To: fractint@lists.xmission.com >CC: philofractal@lists.fractalus.com >Subject: (fractint) C-FOTD 23-05-01 (Simply Wonderful [9]) >Date: Tue, 22 May 2001 23:50:28 -0400 (EDT) > > >Classic FOTD -- May 23, 2001 (Rating 9) > >Fractal visionaries and enthusiasts: [snip] >frm:MandelbrotBC1 { ; by several Fractint users [snip] ...and then I read the next message in my inbox and find this, an image rated at 9, *desirving* a 9, and made with the formula I help to create. I know exactly what *I* like about this image... it's the colours. Very nice. And the shapes remind me of leopard skin... Thanks. Andrew. _________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com. - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 25 May 2001 10:27:49 EDT From: JimMuth@aol.com Subject: (fractint) C-FOTD 25-05-01 (Chaotic Toyland [6]) Classic FOTD -- May 25, 2001 (Rating 6) Fractal visionaries and enthusiasts: With today's image we return to the most prolific of all formulae - -- the MandelbrotMix4. This formula automatically initializes Z to a critical value and plots the corresponding Mandelbrot plane, an action which produces images filled with Mandeloid midgets of almost limitless variety. The formula 2(Z^(-0.875))+0.02(Z^(-18))+(1/C) drew the image, which was rendered with the outside set to . The parent fractal appears as a crescent island with a large Mandel-bay on the west shore and mini bays stretching along the shore from southwest to southeast. Today's midget is located a short distance inland of the southeast coast. I named the image "Chaotic Toyland", a name with a slightly sinister sound, which matches the vaguely unpleasant image. I rated it a somewhat conservative 6. The attached parameter file renders in under 5 minutes, while the GIF file downloads in less than half that time. In an hour or so, the GIF file will be posted to: and to: Rating the FOTD images brings up a curious point of statistics. When I rate my FOTD's, I compare them with only my previous FOTD's. How then, can my average image be above average? If my average image gets better, the average itself gets better. In Lake Wobegon it is possible for every child to be above average, but such politically correct thinking will not work with fractals, because fractals exist in Fractal Land, which is far more dependent on accurate math. Of course, if I compared my images to all the images created by all the fractalists of the world, every FOTD could be above average. However, that would not be politically correct. My humility prevents me from admitting that I am the world's best fractalist. ;-) The fractal weather was once again ideal for the pair of intrepid cats, who spent the afternoon enjoying the sunny skies and temperature of 77F (25C). When they finally came indoors I treated them to a dish of tuna fish. It's now time to open up the fractal shoppe and begin the day's work. Until next time, take care, and think critically about your fractals. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Chaotic_Toyland { ; time=0:04:40.44--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.39890905931845/-1.978045199630535/1.\ 065885e+009/1/-60 params=2/-0.875/0.02/-18/0/800 float=y maxiter=750 inside=0 outside=tdis logmap=yes periodicity=10 colors=000Y5zb5z`5z`5z_5v_5rY5nY5iW5fW5bW5PW5CWF0b\ 5RDP`ARW9ST7SP6UK4WH2WD0Y90Y60_20`00`00b00d00d00e0\ 0e04_0KU0bP0nK7pIAmHCiFFfFHbEK`CMYBNVBRR9TN7WK5YI5\ _H5bH5fF5gF5kD5mD5pC5tC5vA5yA5z95z95z75z75z75zC5zF\ 5zK5yN5vT5pW5k`5fd5bi5Ym5Tp5Pr5Mr5KrBItHFtNDtSCv_A\ ve7vk6xr4xx2xx0yx0yx0yx0xx0vx0vx2tx4ts6rn9riApbCpY\ FnSHnNIiSFfWDb_CYbAVe9Rk7Mn6Ir2Fu0Ax07x04x00x00x00\ x09x7NxMbxTmxUywNwrMumKshKqcIoZImVHmSHmNFmHFmBDm5D\ m5Co5Cq5As5Au5Iw5RxB_xIgxSpxbyxkzzqzzvzzxzyxzxuztr\ zrnxpktmgnkdki`fgYbbWbYUbTSbNR`IP`DN`9M`4K`0I`0HW0\ FT0FP0EM0CI0CF0BA0970040000000000000040590AD0BI0CN\ 0ET0EY0Fb0Fg0Hm0HrNSzTRzWPz_NxbMpfKkiIdmHYpFRtEMxC\ FzB9z92z90vI0iR2_`4Ni6Cr92xA0xC0xD0xI0xM0xP0sT0nW4\ g_7`bAWfFPiIKmMEpP9tNCtNExNFtNHzMKzMMzMNzMPzKSzKUz\ KWzKYzI`zIbzIdzIezPYzVPz`HzfBz`EzYFzVIzPKzMMzIPzDR\ zAUz7Wz2Yz0`z0bz0dz`bzb`z } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Sat, 26 May 2001 09:49:15 EDT From: JimMuth@aol.com Subject: (fractint) C-FOTD 26-05-01 (4th root of Two [6]) Classic FOTD -- May 26, 2001 (Rating 6) Fractal visionaries and enthusiasts: When I discovered the Mandelbrot set some 16 years ago, the most fascinating thing about it was the existence of countless midget sets, no two midgets exactly the same, (except for the mirror- image symmetry around the X-axis). I have never really recovered from my fascination with these midgets. Probably nine of ten of my FOTD's feature a midget at the center, usually a midget of the quadratic variety. But midgets come in many varieties other than quadratic. Today's midget for example exists in a remote part of the fractal created by the formula Z^(sqrt(sqrt(2)))+C. Down in this low range there is no standard shape for the midgets, which come in all shapes. In this case, the colorful pattern surrounding the midget resembles a butterfly or moth. The midget itself, where its border is not defined by one of the discontinuities, has an ill-defined shoreline, with several tiny bays, which closer examination reveals to be totally chaotic. These chaotic shorelines exist in most midgets of a low order between 1 and 2, and are not fully revealed until the maxiter reaches a very high value. The maxiter of today's image is 75,000, and even this could be raised. I tried the image at a maxiter of 150,000, which sharpened the shoreline slightly, but it also made the render time inordinately long and buried too much of the color range right along the shoreline. I named the picture "4th root of Two" and rated it a 6. With a render time of almost 20 minutes, the parameter file is a slow one, making a download of the GIF image file by far the better choice. The image file will soon be posted to: and: The fractal weather today was cloudy and 74F (23C). The atmosphere was very unsettled all afternoon, with heavy thunder- storms and a tornado in the area. Fractal Central escaped the worst of it, though the heavy rain kept the cats well under cover. I now hear Tippy calling for his morning snack, so I guess it's time to turn my attention to more pressing matters and get some food into him. When Thomas sees Tippy eating, he'll turn hungry also, and rush to the dish to keep Tippy from getting all the food. The philosophy is simmering and could erupt at any moment, so stay tuned. But for now, and until next time, take care, and having a second cat is the best way of getting the first cat to eat his food. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ 4th_root_of_2 { ; time=0:19:56.88--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=t center-mag=-1.311059032031873/+10.1354130773853/50\ 793.51/1/114.999 params=1.189207115/0/240/3500 float=y maxiter=75000 inside=0 logmap=67 periodicity=10 colors=000A0AA0AA0AA1AA2AA3AA4AB5AE6AH7AJ8AM99PA8R\ B8UC7XC6_D5ZC6YC7XC8WC9VC9UCATBBSBCSBCRBCQBBPBAOA9\ NA8KA7GA6AA0070AA0PDAYFKdINkLPrKRqNQpPQoRPnTPnVOmX\ Ol_OkaNjcNjeMigMhiLglLfnLfpKerKdtJcvJcxJfoPigVl_`o\ RerJkuBqz1xx3vw4uv6tt7ss8rrApqBooDnnEmmFlkHjjIiiJh\ hLgfMfeOddPcbQbaSa`T`_U_YSYXRXWQVVOUUNTTMRSKQRJPQI\ NPGMOFKNEJMCILBGKAFJ9EMCGPEHSGIVJKXLL_NMbPNeSPhUQj\ WRmZTp`UsbVudWrfUohSljQilOfnMcpK`rIYtGVvETwDRvCQuC\ PtCOsCNsCMrCKqCJpCIoCHoCGnCFmCDlCCkCBkCAjC9iC8hC5n\ A7hC9cDAYECUFDUGFUHGUIIUJJUKIUQHUVGU_GUdFUjEUoDUtD\ UyBUvAUs9Up7Vm6Wj5Xh6Yg7Zf8_f9`eAadBbdBccCdbDebEfa\ Fg`Gh`Hi_HjZIkZJlYKmXLnXMoWNpVLqUNrVOsVQtWRuWTvXUw\ XVxYXyYYzZ_zZ`z_az_cz`dz`fzagzahzabzE`zG_zHYzJXzKW\ zMUzNTzPRzQQzSPzTNzVMzWKzYJzZIz`GzaFzcDzdCzfBzg9zi\ 8zj7zkDzlIzmNznSzoXzpbzqgzrlzsqztvzuuzrtzotzlszj5z\ b6z`6zZ6zY7zW7zU8zS8zQ9zO } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(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| Subject: (fractint) From a real meddler This is a multi-part message in MIME format. - ------=_NextPart_000_002B_01C0E639.F00A38E0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable The colors=3D command in a par file is documented with the words 'This = form of the=20 COLORS=3D command is not intended for manual use....'. In other words = 'keep your=20 prying nose out Chris'. I would quite like to generate a colors=3D = section from a=20 colour editor I'm struggling with; the compact form appeals to my = old-fashioned=20 sense of saving space (about 750 bytes vs 3 - 4Kb .map files). So, = being a born=20 meddler, I've been trying to 'suss out' the syntax. 0-9, A-Z, _ , `, and a-z I've got. I assume that ABC<14>XYZ is a 16 = entry linear ramp=20 between ABC and XYZ but how to explain HHH<9>HHH<4>HHH, why not = HHH<14>HHH ? Is this an area of arcane knowledge and deep secrets or can someone = enlighten me? :-D Chris Curnow - ------=_NextPart_000_002B_01C0E639.F00A38E0 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable

The colors=3D command in a = par file is=20 documented with the words 'This form of the

COLORS=3D command is not = intended for=20 manual use....'. In other words 'keep your

prying nose out Chris'. = I would=20 quite like to generate a colors=3D section from a

colour editor I'm struggling = with; the=20 compact form appeals to my old-fashioned

sense of saving space (about = 750 bytes vs=20 3 - 4Kb .map files). So, being a born

meddler, I've been trying to = 'suss out' the syntax.

0-9, A-Z, _ , `, and a-z I've = got. =20 I assume that ABC<14>XYZ is a 16 entry linear ramp

between ABC and XYZ but how = to explain=20 HHH<9>HHH<4>HHH, why not HHH<14>HHH ?

Is this an area of arcane = knowledge and=20 deep secrets or can someone enlighten me? :-D

Chris = Curnow

Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com.

- ------=_NextPart_001_0000_01C0E67D.FF2FD840 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable

I reverse-engineered the format ages ago. If the Fractint colo= r editor generates HHH<5>HHH<4>HHH, it's gonna do the same th= ing read back in as HHH<10>HHH -- as for why the editor writes out = the less-efficient form, it most likely thought there was a "bend" at the= middle HHH that isn't really there. A likely cause is that it store= s the color components internally as 8 bit values, whereas only the six m= ost significant bits produce a different actual color or colors=3D symbol= . The extra low precision bits that are discarded are causing these oddit= ies.

A more insidious effect is that these b= its *do* alter the colors you see in a subtle way. If you use the color e= ditor to interpolate a gradient, the extra bits in the representations of= the end-points affect exactly where the components change over along the= gradient -- that is they affect significant bits of the interpolated val= ues. When the gradient is written out to a par file, the extra bits are d= iscarded from the endpoints, and when the gradient is read back in, the c= olors are slightly different. This, in turn, led to the recent introducti= on in a developer patch of the option to not compress colors in par files= (which option is obsolete anyways, with typical modern disk capacities).= This writes out the colors completely without the <nn> shortcuts, = producing (for a 256 color mode) a 768-byte palette data sequence; colors= =3DXYZWAB... with 256 triplets.

This probabl= y also contributes to some of the strange color changes observed sometime= s importing into UF. Other such changes seem to result from losing artifa= cts of integer math or other algorithm artifacts.

Get Your Private, Free E-mail from MSN Hotmail a= t http://www.hotmail.com.

<= /DIV> - ------=_NextPart_001_0000_01C0E67D.FF2FD840-- - -------------------------------------------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Sun, 27 May 2001 10:11:33 EDT From: JimMuth@aol.com Subject: (fractint) C-FOTD 27-05-01 (Arachnid [5]) Classic FOTD -- May 27, 2001 (Rating 5) Fractal visionaries and enthusiasts: While studying today's image, I had the impression of an alien spider crawling across the screen. I immediately named the image "Arachnid". Then the time came to rate the image. I first decided to settle on a 6, but then I left the screen for a few minutes. When I returned, I noticed how closely the colors resemble the terrible Fractint default palette, and settled for an average 5. The scene of today's FOTD is located in a valley in remote part of the infinite Z^sqrt(2)+C fractal, about 29 turns down the logarithmic spiral. The parameter file takes about 1/4 hour to finish -- long enough to make the trip to Paul's web site at: or Scott's site at: to download the GIF image worth the effort. The fractal weather featured heavy rain all day, which led to a flood in the fractal basement. All this was climaxed by some noisy thunder-storms that passed over after nightfall. The fractal cats disapproved most strongly, not only of the rain and noise, but also of the temperature, which never rose above 63F (17C). Such a temperature is simply too chilly for two intrepid fractal cats. And until tomorrow at this same time, I'm out of here. Take care, and watch out for that computer -- it may be observing you while you observe it. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Arachnid { ; time=0:15:34.17--SF5 on a P200 reset=2001 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=floor passes=1 center-mag=-1.193364087424675/+0.4048602099941181/\ 1.235979e+007/1/-35 params=1.414213562373/0/-29.3/0 float=y maxiter=4000 inside=0 logmap=460 periodicity=10 colors=000F0ZF0ZF0aF4eF8hFCkFGnFIqDIt7Iv1Iy0Kz0Kz0\ Kz0Ky0Kx1Kv4Kv7KuAKsCKrFKpIKpLKoOKmQGlTCjV7j`AfdDc\ jF`oIYuLVyMSzPPzQMzOLzMLzLLzJLxILvGLuDJrCJpAJm9Jl7\ Jj9JgAIdCG_DFXCDTACQ9AO79L67I46I34L13O04Q06T16X47_\ 79aAAdCAgFCjIDmLFpOFsQGvTIyVIvYLu_Os`PpaSocTmdXjfY\ ig`giaid_iaYj_VjXTjSSlPPlMOlJMdVOYfOVgQSiTPjVOlYLm\ `IoaFpdDrfAsi7ul4vm5xpAysFzuKzxPzyUxxZsxcoxcivcgvc\ evccucauc_ucYrcWpcUocSmcQjcOicLgcIfcFcc0a`0`Z0_U0Y\ 40S44O4AJ4FF3L93P43V03_03c0Aa0G`0M_0SY3YX6dV9jTCpS\ FvQIzPJxTMuXOr_PmcQjfSgiTdlV`pXYsYVv_Sy`OzaLzcIzdF\ zfDzlCzpAzv9zz9yzCszDovFjrIfmJaiLXdOS`POXQJSSFPM9I\ G3CC06600100600A00F00J30O70SC0XG0_L0cP0gT0lY0pa0uf\ 0yj0zo0zr0zl0zg0zc3z_6zT9zPCzLFzGIzCLzGOzLQzPTzTXz\ Y`zaczffzjizolzspzxszzvzzyzzzzzuyzmxzfvz_uzTszMrzF\ pz7oz0mz0VzGDz`IzaMzaQzaVzc_zcczcgzdlzdpzdrzXszOuz\ Fvz6vz0zzAzzMzzYzzizzspzf } frm:MandelbrotBC1 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(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|