March 2004 - Fractint - mailman.xmission.com

September That Never Ended On The Buglist
by SherLok Merfy 15 Mar '04

15 Mar '04

<a href="http://www.google.com/search?hl=en&as_qdr=all&q=VESA+video+card+driver&btnG…" >If you were searching for a driver, and you found FRACTINT, instead, then this link might help.</a> You might not need a Terminate and Stay Resident DOS program like HDILOAD to enjoy the higher resolution modes of your video card and monitor. VESA might be on the card, unless it's "Designed For Windows", and even in the extreme of those cases, it's possible to save images from FRACTINT at higher resolutions than any monitor known to be in production, as well as splice a lot of smaller parts of an image into one very large fractal poster. You'd think I was getting paid for this. In a way, I am. FRACTINT is the best way to disconnect from that mess we call English Spelling on the Internet without ignoring your computer or turning off your girlfriend. And it would be even if it didn't let you render formulas that hav absolutely no practical meaning in the real world, but to which your friends say: "That Looks Cool...What is it?". But, let me remind you that <a href="http://www.drivers.com/"> these people supply drivers.</a> We don't. Not unless we own the hardware, the documentation, a month of Sundays, and stock in the manufacturer.

1 0

FOTD 14-03-04 (The Great Mystery [not rated])
by Jim Muth 14 Mar '04

14 Mar '04

FOTD -- March 14, 2004 (Rating none) Fractal visionaries and enthusiasts: Anyone looking at today's image would recognize it at once. They would know that it is a picture of the Mandelbrot set. And they would be wrong. One might examine the image as carefully as possible, and they would find no evidence that it is not the Mandelbrot set. But it is still not the set. The Mandelbrot set is the slice that cuts a two-dimensional hole through the center of the Z^2+C Julibrot in the plane of the two C-axes. There is only one such slice, therefore there can be only one Mandelbrot set. But what then is today's image, in which the formula Z^2+C is iterated? It is a slice of the Julibrot cut in an oblique direction halfway between the Mandelbrot and Julia orientations. Since a double rotation is needed to turn from the Mandelbrot to the Julia orientation, there are many slices oriented in the half- way position. Today's slice is only one of them. It can be easily demonstrated that today's image is not the familiar M-set by changing the starting point of C. Instead of merely shifting the image around on the screen, changing initial C in today's image actually changes the shape of the fractal as the image shifts. Changing initial Z also shifts the image and changes the fractal's shape. Discovering this second Mandelbrot set, which I call the shadow set, was perhaps the greatest surprise of my entire fractal career. It has linear dimensions 1.4142 times that of the familiar M-set and an area double that of the familiar set. An entirely new set of coordinates is needed to find the familiar objects. In the shadow set, East Valley terminates at 0.35355 on the X-axis, while the largest midget is centered at -2.47485. This shadow set has the curious property that the C and Z coordinates of every point are of equal value. The set also is curious because of the fact that some points as far from the origin as 2.8284 are trapped. This means that the trapped points of the Julibrot are not contained within a hypersphere of radius 2. I think a radius of 2.8284 might do the job, but I am not sure. And yes, it is possible to get a marginally greater resolution of a Mandelbrot object by examining the shadow set, though the screen coordinates of the object being sought must be multiplied by a factor of 1.4142 before the search begins. I have never stopped to figure in how many ways a plane may be oriented halfway between the Julia and Mandelbrot directions. I could probably make quite a project of finding all of them. And I also have doubts that the present SliceJulibrot2 formula can draw them all. But it's something to think about. I did not rate today's image, since its interest is almost totally mathematical. The render time of under three seconds makes up for the lack of artistic merit. The name "The Great Mystery" fairly describes the very simple image of today's FOTD. As always, the completed GIF file is available for download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Saturday was sunny but breezy and chilly here at Fractal Central. With the sun now rising well above the holly trees during the middle of the day, the fractal cats did manage over 1/2 hour in the yard, but finally, the temperature of 43F 6C chilled their ears beyond endurance, and they came inside to enjoy their tuna. Today is starting with less wind and higher temperatures, but the clouds are moving in. The cats have yet to express their opinion of the conditions. As for me, I'm going to take it easy for the rest of the day. I might even get dragged to one of the countless local antique emporiums to look at the stuff that others have thrown away. One thing certain, (unless the world ends), is that the next FOTD will appear in 24 hours. Until then, take care, and believe it or not, here in Maryland they are talking of taxing our potato chips. They call it a 'snack tax'. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ The_Great_Mystery { ; time=0:00:02.97--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 center-mag=-0.7071/0/\ 0.612855 params=45/0/45/0/0/0/0/0 float=y maxiter=255 passes=b inside=255 logmap=yes symmetry=xaxis periodicity=10 colors=000JC0ME0PG0SI1VK2YM3`O4cQ5fS6iU7lWEgYL__SS\ aZKceCekJgnQiqXktbmwempgmijmblmWnmQnmQmmQmmRmmRmmR\ lmRlmRlmSkmSkmSkmTjmUjmVjmWimXimYimZim_hm`hmahmbhm\ cgmdgmegmffmgfmhfmiemjemkemldmmdmodmqcmscmucmwcmyb\ mzbmzbmzamzamzamz`mz`mz`mz_mz_mz_mzZmzZmzZmzZmzYmz\ YnzYozXpzXqzXrzWszWtzWuzVvzVwzVxz3yz6zz9zzBzzEzzGz\ zJzzLzzOzzQzzTzz_zzZzzZzzZzzZzzZzzZzzZzzZzzZzzZzzY\ zzYzzYzzYzzYzzYzzYzzYzzYzzYzzYzzXzzXzzXzzXzzXzzXzz\ XzzXzzXzzXzzXzzWzzWzzWzzWzzWzzWzzWzzWzzWzzWzzWzzVz\ zVzzVzzVzzVzzVzzVzzVzzVzzVzzEzzJzzNzzRzzbzzazzazza\ zzazzazzazzazzazz`zz`zz`zz`zz`zz`zz`zz`zz_zz_zz_zz\ _zz_zz_zz_zz_zzZzzZzzZzzZzzZzzZzzZzzZzzYzzYzzYzzYz\ zYzzYzzYzzYzzXzzXzzXzzXzzXzzXzzXzzXzzWzzWzzWzzWzzW\ zzWzzWzzWzzVzzVzzVzzVzzVzzVzzVzzVzzozznzznzznzzmzz\ mzzmzzlzzlzzlzzlzzkzzkzzkzzjzzjzzjzzjzzizzizzizzXz\ zYzzZzz_zz`zzazzbzzczz000 } 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 20.0 PAR-FORMULA FILE==================================

2 1

Re: Kathy
by JackOTradez 13 Mar '04

13 Mar '04

Kathy, It seems like you trying to run fractint from windows shell. This usually works, but sometimes (as you see) there can be problems. It is best to run in native DOS. As your system boots up, hit F8 key. This will give you a menu. Choose "command prompt only". This will boot you into Dos 7.0. Run fractint there. When you are done, just type "win" and hit ENTER key and you will be in windows. You should also know how to use DOS, like navigating to directories, using DOS commands, and the EDIT program. If you use fractint a lot (like I do) you can configure your win98se system to boot to DOS every time without need F8 key. I can tell you details how to do this if interested. Too much to spell out all here. JoTz ----- Original Message ----- From: <fractint-request(a)mailman.xmission.com> To: <fractint(a)mailman.xmission.com> Sent: Wednesday, February 11, 2004 10:06 AM Subject: Fractint Digest, Vol 12, Issue 6 > 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 > > When replying, please edit your Subject line so it is more specific > than "Re: Contents of Fractint digest..." > > > Today's Topics: > >    1. Problems running Fractint (Kathy Roth) >    2. Re: Problems running Fractint (Paul N. Lee) >    3. FOTD  08-02-04  (Jungle Lushness [6]) (Jim Muth) >    4. Fractint version 20.3 patch 1 (Jonathan Osuch) >    5. FOTD  09-02-04  (Apples and Oranges [7]) (Jim Muth) >    6. FOTD  10-02-04  (Order from Chaos [5]) (Jim Muth) >    7. FOTD  11-02-04  (Watchtower [8]) (Jim Muth) > > > ---------------------------------------------------------------------- > > Message: 1 > Date: Sat, 07 Feb 2004 21:31:29 -0800 > From: Kathy Roth <kroth(a)well.com> > Subject: [Fractint] Problems running Fractint > To: Fractint and General Fractals Discussion > <fractint(a)mailman.xmission.com> > Message-ID: <4025C9B1.8000109(a)well.com> > Content-Type: text/plain; charset=ISO-8859-1; format=flowed > > Hi > I recently had some work done > on my computer and am unable to run > Fractint now- I have a very knowledgeable > computer consultant but he is not particulary > familiar with Fractint so I was wondering > if i can get some input from the list. > here are the details- >     Since about 1999 I have  had a Pentium > 500 running Windows '98 which was > put together by the consultant.  It has > a Matrox something or other card that was > chosen for Fractint and I have been > very happy with this system.  I use Netscape > rather than Microsoft Explorer and it was > version 4 something, have recently been > unable to access  some web sites because > of the old version of Netscape.  I use a modem. > This did not bother me much because > we have a fast connection at work and > if I needed to find something I could do it at > work.  I did want to be able to > listen to streaming audio and download > MP3's which I was not able to do but > other than that was happy.  I would not > have changed anything except there > started to be a smell and I > thought the fan had broken- it > was intermittent, turned out to > be the power cord burning and it was > replaced.  Meanwhile, they upgraded > Netscape and installed some virus > software and other stuff and now > I cannot run Fractint.  I had version 18.6 > in a file with about 2000 formulas, gifs, > unrelated stuff.  It would draw the default > mandelbrot and then the computer > would freeze, Ctrl-alt- delete would not > work and it needed to be unplugged. > I downloaded the newest version of > Fractint into a separate file and it > worked once but could not access the > other files.  I backed up those files > onto a CD (and as i came back into > the room where the computer was > not in its usual place, tripped over > the open CD drawer and broke it.) > Then I decided to download the new > Fractint into the old file, thinking > the program was corrupted in some way. > It did not work and froze the computer. > Then I tried the other version in the new > file and it also does not work reliably > but sometimes works- it seems to > depend somewhat on what video > mode I choose but mostly freezes the > computer.  I suspect something in the > new software is interfering- is this likely?- > I'll list the new software below. > While the computer was being fixed I > had  decided  to get a new laptop > to take to work and to connect to > the T1 line and to do new > stuff on, and to keep this computer > to run Fractint and some older DOS > programs etc., so I would be happy > to go back to the old situation > if I knew what the problem was. > (BTW I selected a beautiful light > IBM think pad, their customer > service and technical support has > been superb, they answer the phone > in 90 sec and know who you are, > unfortunately the laptop died midway > through set-up and they are > replacing it no questions asked, > so you can imagine I'm > a little frustrated.) > > Here's a list of the new software: > Netscape 7.1 > real Player latest free version > WinAmp > Ad-aware6.0 > Norton antivirus 2003 > Live!ware > new Windows Media Player > > Anyone have any ideas??? > Thanks so much- > Kathy Roth > > > > >  > > > > > > > ------------------------------ > > Message: 2 > Date: Sat, 07 Feb 2004 23:55:53 -0600 > From: "Paul N. Lee" <Paul.N.Lee(a)Worldnet.att.net> > Subject: Re: [Fractint] Problems running Fractint > To: fractint(a)mailman.xmission.com > Message-ID: <4025CF69.5BC0(a)Worldnet.att.net> > Content-Type: text/plain; charset=us-ascii > > Kathy Roth wrote: > > > > I recently had some work done on my > > computer and am unable to run Fractint > > now-     ........ > > ....so you can imagine I'm a little > > frustrated. > > > > Anyone have any ideas??? > > Personally, I would say as soon as you get your laptop back, and it is > in good working condition, just back up the files you want to keep and > then reformat the whole drive and reload Win-98 as if it were a new > system. > > Sometimes starting from scratch is much better, and you only have to > install those few programs you actually will need.  This will leave you > with a much cleaner system than one that has had several programs and > applications installed and removed over the years. > > Sincerely, > P.N.L. > ------------------------------------------------- > http://home.att.net/~Paul.N.Lee/PNL_Fractals.html > http://www.Nahee.com/Fractals/ > > > ------------------------------ > > Message: 3 > Date: Sun, 08 Feb 2004 09:55:09 -0500 > From: Jim Muth <jamth(a)mindspring.com> > Subject: [Fractint] FOTD  08-02-04  (Jungle Lushness [6]) > To: fractint(a)mailman.xmission.com > Cc: philofractal(a)lists.fractalus.com > Message-ID: <1.5.4.16.20040208095739.0d6f4c84(a)pop.mindspring.com> > Content-Type: text/plain; charset="us-ascii" > > > FOTD -- February 08, 2004 (Rating 6) > > Fractal visionaries and enthusiasts: > > I named today's image "Jungle Lushness".  Perhaps I should have > named it something like "Too Lush".  The image has almost too > much richness.  No jungle on earth was ever as lush as the scene > in the image, not even in the deepest depths of the Amazon rain > forest. > > This over-abundance of detail and color has cost the image one > full rating point.  After careful consideration, I could give > the image a rating no higher than a 6, which is still somewhat > above average, but falls short of the 7 that I first considered. > > The parent fractal was created by combining 1 negative part of > Z^(-1.1) with 0.1 negative part of Z^(-11) and adding (1/C).  > This parent is several orders too large to fit on the default > screen, but a single outzoom reveals the most interesting parts. > The interesting part of the parent consists of an oversized > banana-shaped hole with a Mandelbrot set lying at its southwest > extremity.  The banana-shaped hole splits the East Valley of the > M-set as it joins with the set.  Today's scene is located on the > shoreline of the hole, near the point where it joins the M-set. > > The traditional equal-iteration-band method of rendering today's > scene produces a very interesting image -- almost good enough to > be a FOTD.  The evaporated version, which appears as today's > FOTD, is improved just enough to be the version I chose. > > As an 'evaporated' image, today's scene consists entirely of > trapped inside points made visible by the 'bof61' inside fill.  > This fill traces quite faithfully the foundation features of the > 'real' image that has been evaporated, but adds bells and > whistles that the real image never had. > > Sometimes a humdrum scene can be improved by evaporating it, > sometimes not.  The only way to find out is to go ahead and > evaporate an image and see what can be done with the ghostly > remains.  There are also 'half-evaporated' and 'extra-condensed' > versions of images created by negative exponents of Z, but I > have yet to do much investigating in these areas. > > The render time of today's image is 13-3/4 minutes.  Combined > with the rating of a 6, its overall value is 44 -- a value that > is not too bad.  The image may be seen quicker by downloading it > from Paul's web site at: > >        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > > Saturday turned into a quite pleasant day here at Fractal > Central, when sun and an unexpectedly warm temperature of 43F 6C > prevailed most of the afternoon.  The cats enjoyed the few spots > where the sun is now shining above the holly trees in the early > afternoon, and ignored the remaining ice.  But this morning > things are again frozen solid.  It once again feels like winter. > I doubt that the duo will have a second good day. > > My day will probably be average . . . most days are . . . that > is unless something unexpectedly good or bad happens.  Since > nothing like this is likely to occur, the day will probably pass > with nothing more notable taking place than the appearance of > the next FOTD fractal image.  When that happens, we will have > found tomorrow's FOTD.  Until then, take care, and does the > brain create the mind, or does the mind create the brain . . . > or is it all just one big fractal? > > > Jim Muth > jamth(a)mindspring.com > jimmuth(a)aol.com > > > START 20.0 PAR-FORMULA FILE================================ > > Jungle_Lushness    { ; time=0:13:47.67--SF5 on a P200 >   reset=2003 type=formula formulafile=allinone.frm >   formulaname=MandelbrotMix4 function=recip passes=1 >   center-mag=-1.38105363973058900/-5.353386666406572\ >   00/1.344518e+009/1/-137.5/0.000903528871152227409 >   params=-1/-1.1/-0.1/-11/0/1e+100 float=y >   maxiter=2000 inside=bof61 periodicity=10 >   colors=000ePadQ`dSZcTXcVVbWUbYSaZQa`O`aN`cL_dJ_eIm\ >   ulnqmnnnojnogopdop`pqYpqVqrRrrOrsLssHstEttBtmHfAMT\ >   EKSHIRKGQNEQQCPTAOW8NZ6Na4Md2Lg0LXHNMYPBmQEiTHeVKb\ >   XMZ_PWaSScUOfXLh_HjaEl_JnZNpYSrXWtW_vUdwThySlyRqyQ\ >   uyPyyOvyOtyOrwOptOnqOlnOjkNghNeeNcbNa_N_XNYUNWRNUO\ >   LSPJRPHPPGOQEMQCLQBKQ8KN6KKEEIM8GT3FS6HS8JRALRCMRE\ >   OQGQQIRPKTPMVPOWRLaSJfTHkVFpWDuXByY9yWAyUBySCyQDyO\ >   ExMFvKGuIGtGHrEIqCJoAKn8Lm6Mk4Nj2NivEfuHhuJjtLltNn\ >   tPpsRrsUtrWvrYxr_yqayqcyqeyr`ysXutSouOjvJdwF_xBVxH\ >   _xNdxThyZmydryjwypyimuVjpGgk1df8_eFVeMQdTLd_GcfBcG\ >   DyHLyITyI_yJgyJnyOosSokXod`oXeoQioImoBijJeeQb`XZWc\ >   WRjTQgQPeNOcLNaIM_FLYCKWAJU7IS4HQ2HOKRUa`Zrjcogfle\ >   hickfamc_p`YrYVuVTwSRyPPyMNyJLyOQyTVyZ_ycdyhiyV_jb\ >   bhZabflnkomekb_gSUdIQ`HMXHITGEPGDOKDONDNRDNUCMYCM`\ >   CMdCLgCLkBKnBKrBJuBJyBJyDLsEMkFNcGPWHQOIRGJUKaCTbE\ >   WcFYdG_eHafIcgJegKgfMeeNc } > > 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================================== > > > > ------------------------------ > > Message: 4 > Date: Sun, 8 Feb 2004 17:25:05 -0600 > From: Jonathan Osuch <osuchj(a)avalon.net> > Subject: [Fractint] Fractint version 20.3 patch 1 > To: Fractint and General Fractals Discussion > <fractint(a)mailman.xmission.com> > Message-ID: <200402081725.05278.osuchj(a)avalon.net> > Content-Type: text/plain;  charset="us-ascii" > > Fractint and Xfractint version 20.1 patch 1 is now available on the > developer's web site. > > What's new: > > Fixed the float bailout for the lambdafn fractal type when the EXP function > is used so the float and integer images match. >   > Jan Andres contributed Xfractint fixes that allow compiling with newer > versions of gcc because varargs.h is no longer supported.  Enabled the > use of the long double type on Solaris.  Moved the getwd() macro definition > in prompts1.c after the #include lines, to avoid the mess that happens when > the prototype for getwd() is included but it's already defined as a macro. > Added some Solaris-specific comments to the Makefile. > > Fixed the sound in Xfractint so the beep turns off now. > > Changed lsys.c to use inline1 instead of the reserved word inline. > > Jonathan > > > > ------------------------------ > > Message: 5 > Date: Mon, 09 Feb 2004 10:11:57 -0500 > From: Jim Muth <jamth(a)mindspring.com> > Subject: [Fractint] FOTD  09-02-04  (Apples and Oranges [7]) > To: fractint(a)mailman.xmission.com > Cc: philofractal(a)lists.fractalus.com > Message-ID: <1.5.4.16.20040209101426.0da7473e(a)pop.mindspring.com> > Content-Type: text/plain; charset="us-ascii" > > > FOTD -- February 09, 2004 (Rating 7) > > Fractal visionaries and enthusiasts: > > Today's image takes us once again to that ultimate fractal > reality, the Mandelbrot set, for a brief stay in one of the more > remote valleys.  I call the M-set the ultimate fractal reality > with some misgivings.  I am not certain that such a thing as > fractal reality exists.  As far as that goes, I am not even > certain that such a thing as physical reality exists.  (I am > reasonably certain that I exist however.)  But if anything like > ultimate fractal reality does exist, the Mandelbrot set comes as > close to filling that definition as we have yet come. > > The scene of today's action lies in a spiral deep in the outer > side of the right branch of the valley leading to the large > period-4 bud on the northeast shoreline of the main bay of the > Mandelbrot set.  The features that appear in the image are > familiar to those with experience exploring the M-set.  This > familiarity cost the image one full rating point.  But to make > up for the familiarity, the coloring is somewhat unexpected, and > this originality added one full point to the rating.  As a > result, we have an image with a rating of a 7 and, due to the > short render time, an overall value of 321. > > I named the image "Apples and Oranges".  The tiny orange spots > remind me of oranges.  The apples were added just to make a more > interesting name. > > There are two ways of viewing the image: first, by running the > included parameter file; second, by downloading the completed > GIF image from: > >        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > > It remained sunny but breezy and quite cold here at Fractal > Central on Sunday.  The temperature never rose above freezing, > which kept Tippy the tabby indoors.  Thomas, the rusty, ventured > out onto the remaining ice for a few minutes before deciding > that comfort was the better part of valor, and hastily retreat- > ing back inside.  They both ended the day with a treat of left- > over salmon.  Today is starting milder.  Hopefully, it will > be better for the duo. > > For me, it looks like today might be a bit on the busy side.  > But unless an avalanche of unexpected work arrives, I'll find > time to dredge up another fractal worthy of FOTD status.  Until > tomorrow, when that next fractal will appear, take care, and see > you then. > > > Jim Muth > jamth(a)mindspring.com > jimmuth(a)aol.com > > > START 20.0 PAR-FORMULA FILE================================ > > Apples_and_Oranges  { ; time=0:02:10.88--SF5 on a P200 >   reset=2003 type=mandel passes=1 center-mag=+0.25604\ >   36923746491/+0.4940656109920195/3.6466e+007/1/177.5\ >   /1.38515831929475475e-008 params=0/0 float=y >   maxiter=15000 inside=0 logmap=1560 periodicity=10 >   colors=000D7WD5YC3ZC2_B4ZB5YB6XB7XB8WA9VAAUABUACTA\ >   DSAER9FR9GQ9HP9IO9JO9KN8LM8ML8NL8OK8PJ8QI7SI7TH7UG\ >   7VF7WF7XE6YD6ZC6_C6`B6aA6b95c95d85e75f65g65h54i44j\ >   34k34l24m14n16m37l48l59k6Bk7Cj9DjAEiBGiCHhDIhFJgGL\ >   gHMfINeJOeLQdMRdNScOTcPVbRWbSXaTYaU_`V``Xa_YbZZdZ_\ >   eY`fYbgXciXdjWekWflVhnVioUjpUkqTlrTmqSjpRhpQfoPdnO\ >   bnN`mMZmLWlKUkJSkIQjIOjHMiGKhFIhEFgDDgCBfB9eA7e95d\ >   83d81eA3eB4fD6fE7fF8gHAgIBgJDhLEhMFiOHiPIiQKjSLjTM\ >   jUOkWPkXRlZSl_Tl`VmbWmcYmdZnf_ngaoibojdokepmfunhzo\ >   izqkzrlztmzuozvpyxrxyswztvyuuzvtzwszxszyszzszzszzs\ >   zzszzswwsvwsvwsvwsvwquupttossnsrmrplqokqnjpmiolhoj\ >   gnifmhelgdlfckdbjcajb`ia_h_ZhZYgYXfXWeWVeUUdTTcSSc\ >   RRbQQaOPaNO`MN_LM_KNZKOYKPYKQXKRWKSWKTVKTVKUUKVTKW\ >   TKXSKYSKZRK_QKaQKcPKeOKgOKiNKkNKlMKmLKnLKoKKpKKqMK\ >   rOKsQKtSKuUKvWLwYLx_MyaMzcMzcNzcNzcOzcOzcOzcPzcPzc\ >   QzcQzcQzcRzcRzcRzcSzcSzcT } > > END 20.0 PAR-FORMULA FILE================================== > > > > ------------------------------ > > Message: 6 > Date: Tue, 10 Feb 2004 10:41:00 -0500 > From: Jim Muth <jamth(a)mindspring.com> > Subject: [Fractint] FOTD  10-02-04  (Order from Chaos [5]) > To: fractint(a)mailman.xmission.com > Cc: philofractal(a)lists.fractalus.com > Message-ID: <1.5.4.16.20040210104331.2aa7fa40(a)pop.mindspring.com> > Content-Type: text/plain; charset="us-ascii" > > > FOTD -- February 10, 2004 (Rating 5) > > Fractal visionaries and enthusiasts: > > With today's image we tunnel quite deep into the Mandelbrot set. > At the end of our trip we find ourselves in a remote valley just > off the northwest shoreline of the main bud of the large midget > on the negative X-axis.  This area consists of areas of wild > chaos interspersed with relatively orderly and almost straight > filaments.  The nature of the general area, with its mixture of > order and chaos, is reflected quite well in today's image, which > I have named "Order from Chaos". > > The magnitude of the image is really in the range of arbitrary > precision math, but I have forced the program to use the conven- > tional math routine by including the 'mathtolerance=/1' entry in > the parameter file.  In such a chaotic image, the resulting > breakdown in resolution is barely noticeable, and the time saved > is a sizable part of a day. > > One result of forcing the use of conventional math is the > unwanted stretching and skewing, which is reported on the 'tab' > screen of the image.  This distortion is barely noticeable, but > those who wish to render the image marginally more accurately > may be re-enable arbitrary precision math by striking the 'g' > key and entering the command 'mathtolerance=/0'. > > The 'logmap' method of coloring does not work with today's > image.  The 'tdis' option runs very slowly.  The other outside > coloring options either create too much chaos or run far too > slowly.  The best method I found of coloring today's image is > also the simplest -- outside=iter logmap=0. > > When the time came to rate the image, I was undecided whether to > consider the overworked nature of the M-set.  Is today's image > really that unusual?  After almost 20 years of exploration, is > there anything truly new to be found in the M-set within the > range of conventional math?  One would think so.  At the magni- > tude of today's image, the entire M-set would be about as large > as the solar system.  And except for the X-axis symmetry, no two > spots of the M-set are identical.  But the differences are often > infinitesimal, and for all practical purposes, the major varia- > tions have long since been found.  Considering all this, I rated > today's image at an above-average 6, which, with the render time > of just under 5 minutes, gives an overall value of 125.  I must > get a machine fast enough to make arbitrary precision math prac- > tical.  Way down deep is where the undiscovered M-set goodies > lie. > > To see the image, run the included parameter file and sit back > to watch the fun, or go to Paul's FOTD web site at: > >        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > > and download the image from there. > > The clouds moved in quickly here at Fractal Central on Monday, > but the temperature reached 46F 8C, which was mild enough for > the fractal cats to enjoy a full 90 minutes in the yard.  They > must have enjoyed their outing.  When the day ended, they were > content to settle down without a special treat. > > Today brings both work and fractals for me.  The work I will > finish; the fractals will never be finished.  I shall return in > 24 hours with more goodies, some concrete, some abstract.  Until > then, take care, and the search for truth is all too often > hindered by the difficulty in recognizing and accepting it. > > > Jim Muth > jamth(a)mindspring.com > jimmuth(a)aol.com > > > START 20.0 PAR-FORMULA FILE================================ > > Order_from_Chaos   { ; time=0:04:50.28--SF5 on a P200 >   reset=2003 type=mandel passes=1 bailout=9 >   center-mag=-1.77551631029264878/0.0045532172225712\ >   74/3.305215e+013/1.0404/13.9106570650115682/-0.977\ >   835246052904727 params=0/0 float=y maxiter=80000 >   inside=0 periodicity=10 mathtolerance=/1 >   colors=000_hnaiocjpekqflrdiocgmcekccicagc_ecYccWcc\ >   UccSccQccOccMccKccIcdGcdEcdCceAce8ce6cf4cf2cf0cg6c\ >   gCcgIchKchKchKciKcjKckKclKcmKcnHcoCco7cpAcpDcqGcrI\ >   csLctOcuRcvQewPgxOiyNkzMmzNnzOpzPrzQryRovPosOmpMhm\ >   LckKZiIUgHPeFKcEFaDA_BAZAAY8AX7AW6AV4AU3AT2AS4AR6A\ >   Q7AP9AOBANCAMEALGAKHAJJAILAJMAKNALOAMPANQAORAPSAQT\ >   BRUCSVDTWEUXFVYGWZHX_IY`IZaJ_bK`cLadMbeNceOcgPchQc\ >   iRajS_kTYlTWmUUnUSmUQlUOjUMhUKgUNeSPcQRbQU`SWZUYYW\ >   `WZbU`dTbgRdiPfkOhhNgfNfcNeaNd_McXMbVMaSM`QL_OLZLL\ >   YJLXHLWJNVKOULPUMQTNRTOTSPUSRVRSWQTXQUZPV_PW`OXaOZ\ >   bN_dM`eMafLbgLchKdiKbgLaeL`cL_aLZ_LYYMXWMWUMVSMUQM\ >   SPNRNNQLNPJNOHNNFOMDOLBOK9OJ7OI6OK5MM5LO5KQ5IR5HT5\ >   GV5EX5DZ5C_5BXCEUJHRQJOXMLcOIjRGpTKlVNhXQdZT``XXb_\ >   TdbPfeLhhIjaMfWPbQTZJWWD_S7bO1eL7gMChNIiNNjOSkOYmP\ >   bnQhoQmpRrqRnmPjjNfgLbdJZaHWZFSVDOSBKP9GM7EYbGZcI_\ >   dK`eMafObhQciSdjUekWflYgm } > > END 20.0 PAR-FORMULA FILE================================== > > > > ------------------------------ > > Message: 7 > Date: Wed, 11 Feb 2004 10:06:23 -0500 > From: Jim Muth <jamth(a)mindspring.com> > Subject: [Fractint] FOTD  11-02-04  (Watchtower [8]) > To: fractint(a)mailman.xmission.com > Cc: philofractal(a)lists.fractalus.com > Message-ID: <1.5.4.16.20040211100854.0d77289a(a)pop.mindspring.com> > Content-Type: text/plain; charset="us-ascii" > > > FOTD -- February 11, 2004 (Rating 8) > > Fractal visionaries and enthusiasts: > > In yesterday's FOTD we tried to show what happens in filaments > along the shorelines of midgets that lie on the negative X-axis > of the Mandelbrot set.  This first attempt was only moderately > successful. > > Today we make the second attempt -- one that is somewhat more > successful.  We jump to a midget on the X-axis a short distance > beyond the largest midget, and examine the filaments near its > shoreline.  The filaments here are covered with tiny nodes which > remind me of long fences with watchtowers positioned every > kilometer or so.  These fractal watchtowers are islands of chaos > with smaller midgets at the center.  Today's image illustrates > one of these watchtowers -- an island of chaos sitting in a > prairie of order. > > I named the image "Watchtower" and rated it at an 8.  The rating > might be a bit excessive, but I do rather enjoy the image.  When > combined with the render time of 44 seconds, the image has an > overall value of 1067.  (I really must bring some consistency to > the way I determine the overall value.) > > The image may be seen by running the attached parameter file and > enjoying the lightning-fast rendering show, or by taking a trip > to Paul's FOTD web site at: > >        <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > > and downloading the completed GIF image from there. > > Tuesday turned out to be the best day in over a month here at > Fractal Central.  The temperature of 52F 11C, gentle breezes, > and warm sun, gave the cat duo all they could ask for.  They > explored the yard from noon until sunset, somehow managing to > stay out of trouble for over 5 hours.  Today is starting colder, > but not extremely so.  It remains to be seen what the cats will > make of the day. > > I'm going to make another work day of it.  About 4 hours of work > waits in the rack beside the desk, and the only way to move it > to the finished rack is to get started.  So until next FOTD, > take care, and how many fractals could fit on the head of a pin? > > > Jim Muth > jamth(a)mindspring.com > jimmuth(a)aol.com > > > START PARAMETER FILE======================================= > > Watchtower         { ; time=0:00:43.45--SF5 on a P200 >   reset=2003 type=mandel passes=1 mathtolerance=/1 >   center-mag=-1.86119088257009000/+0.000407298011668\ >   70/2.823726e+012/1/-7.27769909978726215/0.00000603\ >   84787128533 params=0/0 float=y maxiter=7500 >   bailout=9 inside=0 symmetry=none periodicity=10 >   colors=000NleRuhVzkTzlRxmQunOroMopLlpJiqIgrGdsEatD\ >   ZtBWu9Tv8Qw6Nx5LxJT_W_CUZGTZJRZMQZPOZSNYWLYZKYaIYd\ >   HYgFXdEXbDW_CWYBWVAVT9VQ8VO7UL6UJ5UH5UI5TJ5TJ7JY7J\ >   Y7JY7JY7KY7KY7KY7KY7KY6LX6LX6LX6LX6MX6MX6MX6MX6NX6\ >   NX6NX6NX6NXyHvwIuvItuIttIssIsrIrqIroIqnJqmJplJpkJo\ >   jJoiJngJnfJmeKldKlcKkbKkaKj_KjZKiYKiXLhWLhVLgULgSL\ >   fRLfQLePLeOMdNMcMMcKMbAEAAEAAEAAEAAEBAECAEDAEEAEFA\ >   EGAEHAEIAEJAEKAELCEMFENIEPLGROIURKWUM_WOcZNicMnhLr\ >   mOwrRywUzzWwwbrrgmmjhmmcmoZmqUmsUnuWowYqyZsz`uzawz\ >   buvbrqbmlchgcc`cZYcUVdPTeNRfRPgWNh_LicJjgHklFlpDmt\ >   Bnx9nvHdtPVsXMqdCpl3kk6fj9aiCYhFTgHOfKKeNFdQAcT6cV\ >   7bW7aX8`X8_Y9ZZ9YZAX_AX`BW`BVaCUbCTbDScDRdDRdFVgGY\ >   iHakIdmJhoKkqLgmMcjN_gOWdPSaQOZRKWSGTTCQU8NU5KSISR\ >   U_PfgOrnNsoNspNsqNsrMssMstMttMtuLtvLtwLtxLtyLtyNnv\ >   OitPdrQZpRUnSPkTJiUEgV9eW4c87mEEmKLmQSmWZmadmYajV_\ >   hRXfOVdLSaHQ_ENYBLWFV_Jcb } > > END PARAMETER FILE========================================= > > > > ------------------------------ > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > > > End of Fractint Digest, Vol 12, Issue 6 > ***************************************

3 3

how about a girl mascot for fractint?
by David Lowenstein 13 Mar '04

13 Mar '04

I like to call her "Julie Brot!" What do you think? -david

1 0

FOTD 13-03-04 (Merely a Scene [5])
by Jim Muth 13 Mar '04

13 Mar '04

FOTD -- March 13, 2004 (Rating 5) Fractal visionaries and enthusiasts: Today's image is an error. When setting the parameters, I inadvertently forgot to reset the formula function to 'floor'. The results of the mistake were not all bad however. Like the 'Tim's error' formula in Fractint, the mixed-up formula produced quite an interesting image. So that this mix-up does not happen again, I will rewrite the MandelbrotBC1 formula, rename it MandelbrotBC2, and change the variable parameter to a fixed one. But the image that was produced in error will keep its honored position as FOTD for March 13. The parent fractal consists of a large irregular bay with several tiny bays along its smooth eastern shore. The western shore of the bay consists of what I call wetland -- a large area of near total chaos. But as today's image, which is a scene in this wetland, shows, near total chaos does not equal uselessness. I have given the image the simple name "Merely a Scene". That's what it is. There is no sign of my ever-present midgets, though some rudimentary ones do exist is other parts of the parent fractal. The image consists of a single shaft jutting down from the top of the frame and meeting a fragment of a second shaft near the bottom of the frame. The distant background is filled with similar shafts. The main shaft has an unusually vivid three-dimensional appearance, an effect that is not always easy to achieve with colors alone. I gave the image a rating of a 5. The lack of a midget dropped the rating as much as two points. Another bad feature is the slowness of the image, which takes over one hour to render on my machine. When the rating and render time are combined, the over- all value comes in at a lowly 7.2. The hour wait for the image to render can be avoided by down- loading the completed GIF file from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The image is slow, so before visiting the site, give Paul a chance to render and post it. Too much wind and too low a temperature kept the fractal cats confined indoors on Friday, but today is starting with much less wind. Hopefully, the temperature will rise to a level that is acceptable to the cat duo. If not, it's back to the tuna. As for me, I've got a bit of work to finish, and then it's all fun and games. Until next time, take care, and if you don't take care, watch out. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Merely_a_Scene { ; time=1:09:15.00--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotBC1 function=recip passes=1 center-mag=+0.67813638334978250/+0.185081778774343\ 90/1.597705e+007/1/-40/1.216475693094354e-008 params=1.2/0/0/0 float=y maxiter=10000 inside=255 logmap=874 periodicity=10 colors=000aUY_TWYSUVRSSQQPOONNMKLKHJIEIGCGE9FC6DAA\ 494C97FB9HDBJEELGGNIIPJLRLNTMPVORXQUZRW`TYbV`dWbfY\ dhZfj`hlbjnclpenrgpthrvjtwkvxmwyoxzqyzszzuzzwzzyzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzfHFfIFeJGeKHdLHdMIcNJcOKbPKbQLaRM\ aSM`TN`UO`UOZVNYVNXWMVWMUXLTXLRXLQYKPYKNZJMZJLZJJ_\ II_IH`HF`HE`HDaGBaGAbF9bF6YJ7`H8bF9eDAgCBjACl8Fz9D\ n7Cc6CT2BT5AT89TA9TD8TG7TI7TL6TN5TQ5TT4TV3TY3T`2Tb\ 1Te1Tg9WaGZX_VQYURWTSUTTSSUQRVOQWMPXKPYIOZGM_EK`CI\ aAHb8Fc6Dd4Be18g29e3Ac3Cb4E`4G_5IY6JX6LV7NU7QS8TR8\ WP9YOAUMA_LBdJBiIClGCnFIeHNXJSOLXFNY4Fa6Pe8Yj9eiAf\ hBghCggDhgEifFi`GheHjdIkdJlcKlcLmbMmbNnaOo`Po`Qp_R\ p_SqZTrZUrYVsSYuVXtYWs`VubUweTyhSzkRzmQzpPzsOzuNzv\ RzvUzvUzwUzwUzwUzwUzxUzxUzxUzyUzxUzwUzvUzuUzuUztUz\ sUzrUzrUzqUzpVzoTznQznNzmLzlIzkFzj9zkDzkHzlLzlOzlS\ zmWzm_zsfzpdzmbzjazh_zeZz } 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|<a } END 20.0 PAR-FORMULA FILE==================================

1 0

sorry
by David Lowenstein 12 Mar '04

12 Mar '04

thank you, noel giffin.

1 0

FOTD 12-03-04 (The African Veldt [6])
by Jim Muth 12 Mar '04

12 Mar '04

FOTD -- March 12, 2004 (Rating 6) Fractal visionaries and enthusiasts: There once was a time when I wandered freely through Fractal Land, roaming wherever my day's journey took me to study the surroundings. I was not on a search for any particular quarry. I photographed whatever was surrounding me in the place where I stopped for the day. Then something happened. I became fasci- nated with the so-called 'midgets' that I occasionally stumbled upon. I began seeking midgets, ignoring the sometimes spectacu- lar scenery that I passed by in my search. Midgets in fractals are higher-dimensional analogs of the maxi- mum or minimum stationary points so often found when the graphs of functions are plotted. And just as all stationary points have a similar parabolic shape, so do all midgets have a similar shape. With only a few hard-to-find exceptions, this shape is that of the classic Mandelbrot set. The familiar shape is some- times distorted beyond recognition, but even when unrecognizable the shape is there, and could be undistorted back into the M-set. It is hard to say why I became so fascinated with midgets, but this kind of thing seems to happen with fractals. Many become fascinated with spirals. When I come upon spirals, which I do many times in my search for midgets, I usually pass them by. They all look the same to me. It is curious that the same bore- dom has never arisen as I discover ever more of the super infi- nity of similarly shaped midgets that are out there, waiting to be found. Maybe I should devote a month or two to fractals without mid- gets. The discontinuity patterns in low-order fractional-power fractals can be quite interesting, and certainly deserve more exploration. The odd slices of the Z^2+C Julibrot can also be interesting. It is really surprising what Seahorse Valley looks like when viewed from some of the unfamiliar angles and double angles of four-dimensional space. Yes, I think I'll soon take a break from the endless stream of midgets, and have some fun with the other things found in the world of fractals. But that break from midgets does not appear in today's image, which is another adventure into the parent fractal of the two most recent FOTD's. I named the image "The African Veldt". I can give no reason for the name other than I think it sounds ex- citing. I also might have been thinking of an old story by Ray Bradbury named "The Veldt", which as I recall is about a house with animated walls that depict an African grassland scene. I rated today's image at a 6. Combined with the render time of 4 minutes, this gives an overall value of 142. The render time can be changed to a faster download time by visiting Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished GIF image has been or soon will be posted. Thursday was quite a pleasant day here at Fractal Central. The warm sun, light winds and temperature of 56F 13C made conditions near ideal for an afternoon in the yard. The cats took advan- tage of the opportunity. This morning is starting sunny, but it is colder, and the wind is high. We'll see what the cats think of this. I'll think more of fractal things once I get the work behind me. Until the next FOTD appears, take care, and see you in the land of fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ The_African_Veldt { ; time=0:04:14.47--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.31518718326216360/+5.515004364619150\ 00/2.11448e+007/1/-17.5/3.45976670992897972e-008 params=0.55/-1.1/0.11/-3.1/0/0 float=y maxiter=600 inside=0 logmap=78 periodicity=10 colors=00000K00I01G05E08C0CA0F80J50M05T0FZ0Rc6ahDm\ mMxrTzx_zqTzjOueJsZDpR6lM1jF0gA0fH0gM6eT8bZAZeKXjU\ VmZVoXTqTTtRRvORxMJt_Cqm5mzzxczrqzozfRz53zACzDJrJQ\ eMXRQcDTJTX0hf1lq5oz6rzAvzCxz8mz6cz3Vz1Kx0At01r08q\ 0Fo1Mo3Tm5_l6fj8mj8rZMhMZ_AjQ0vH0oQ0jX0ee0_l0Vt0Qz\ 6JxVDvr8rz3qahc0zQ5zRDtRKfTTTT_HTROaJTjC_q3ez0lz0q\ z0lz0fq0ae0XV0RJ0M60H00D00Q00a00m10z80zD0zJFzTflcm\ aQtRCzH0rK8lMHeQQZR_RVhKXqJceHhTHoHFt5Fz06zfXhQvQ8\ z80cxrXxmOxhHxc8zX1zR0zM0zH0zC1z88z5Fz1Mz0Tz0_z0fz\ 0Mt03_D6OKe_TTeTJjV6oV0tX0xX0me0el5XrCOzHFzMQzR_zX\ hxarvfzrlzqHXe00T50HM05a0Dq0Mz0Vz0cz3az6azA_zD_xHZ\ tKZqMZmHTjDQf8Me5Ja0FZ0CX08j05v01z00z00h_05z03z01z\ 00z00t00o00h00c0ex5zzFozXJmm0Zz0Kz06t00o3DT6V80T00\ T00T0RxzMxzJytFzmAzf6z_3zVAzQFzMKzHQzDXzAaz5fz1lz0\ qz0vz0zz0zz0zz0zz0zz0zz0zz0zz6zzMzz_zzmzzjzzfzzecz\ FDz0Az06z03z00z30z6ozeezl } 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==================================

1 0

THANKS NOEL GIFFIN
by David Lowenstein 12 Mar '04

12 Mar '04

so the rudy set is a new fractal type. -david

3 2

FOTD 11-03-04 (Shark Teeth [9])
by Jim Muth 11 Mar '04

11 Mar '04

FOTD -- March 11, 2004 (Rating 9) Fractal visionaries and enthusiasts: The FOTD's that rate a 9 are few indeed, but today's image rises, perhaps with a little exaggeration, into that lofty range. The parent fractal that has been the source of the two most recent FOTD images is the source of today's image also. But instead of being located in the vicinity of the two large Mandeloids, today's image is located in a smaller area of chaos on a filament some distance south of them. The theme of filaments strung with areas of chaos prevails throughout the parent fractal, particularly so in the area where today's image is found. The decorated filaments make fine images when rendered in the traditional manner, but for today's image I wanted something different. I tried various outside rendering options, some of which worked fairly well, some of which were total failures. Then I evaporated the image by raising its escape radius to one-googol, and rendered the resulting blank screen of totally inside points with the 'bof61' option. The result was spectac- ular indeed. A little bit of color tweaking produced today's image, which, at least in my opinion, is the best in quite a while. I named it "Shark Teeth". The image does rather resemble strings of shark teeth, with a lovely pink flower at the center. The rating of 9 and the render time of 7 minutes combine for an overall value of 124. As always, the minor task of rendering the image from the included parameter file may be avoided by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A Wednesday morning snow shower here at Fractal Central failed to whiten the ground, but was enough to keep the fractal cats confined to the indoors for the day. The temperature reached a high of 45F 7C, which changed the snow to rain before it ended. Today is starting much improved. The cats will be happy. As is usually the case with me, I have official business to put behind me before settling down to search for the next fractal. The chance that my search will be successful is 100 percent. So until 24 hours from now, take care, and some but not all frac- tals deserve rave reviews. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Shark_Teeth { ; time=0:07:13.63--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-9.50479709963300900/-4.541802019973394\ 00/5.042148e+008/1/2.5/-0.0059717742853601305 params=0.55/-1.1/0.11/-3.1/0/1e+100 float=y maxiter=1000 inside=bof61 periodicity=10 colors=0000_73WD9SJFPPLLS9Ph0Sz0Wz0Uz0Uz0Uz0Uz0Sv1\ Sr3Sn5Sm7Qh9QeBQaDQYFPUHPQJPNLPLFWS9aY3hc0nh0tn0np\ 3hr7ctB_vFUxJPzPLzSFzW9z_5zc0zf0zj0zc0zW0zQ0zJ0zB0\ z50z70z90v90rB0nD0jD3fF9cHDaHHYJNULQQLUNN_JPcFPfDJ\ hBDj97m71n50p3j1Fh5Fh7Fh9FhBFfDFfFFfJFfLFeNFePFeQF\ eSFaQHYPHWNHSLHQJHNHJLFJHDJDBJB9J77L55L13L01L00L00\ N00N00N00N00N00P00P00P00P00L00P00Q00U00W00Y00a00c0\ 0f00h00j00n00p00t00v00x10v90tH5rPDrWLpaUnhamphmxpj\ zxhzzhzzhzzzzxzzvzzrzznzzmzzhwzerzcmz_hzWhyUhwQhvN\ huLhtHhsDhrBhq7hp3ho1hn0hm0hzFhzKfzPezUczZazc_zcYx\ cYvcWvcUtcSrcQpcPpZNnUNmPLjKJjFHhAFf0De0Be05e0BS3H\ HHN3SQ0eW0pa0re0tf0mf0ef0_f0Sf0Lh0Dh07h00h00h00r00\ h00a00U00P00L00H00D03F05H09J0BL0FN0HN0LP1NQ7QSDSUJ\ WWNYWPWYPW_QW_QWaSUcSUcUUeUUeWSfWShWShYSjYSj_Qm_Qn\ aQnaQpcPrcPrePtePtePvfNxfNxhNzhNzjLzjLzmLzmLzpHzmL\ zjPzhSzeWzc_zacz0a00a10_5 } 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==================================

1 0

Diffusion-Only -- or you'll miss it.
by SherLok Merfy 11 Mar '04

11 Mar '04

RainBrot { ; Make passes=1 or g to skip the last 256 iterations. ; Tesseral agrees with passes=d on where fractal ends. ; 16.75s on a 350Mhz PII @800x600. RainBoh.map ; My monitor doesn't click on mode changes at this res. reset=2003 type=mandel passes=d center-mag=-1.26297/0.0125867/1.258975/1.0274/-90/3.88578058618804789e\ -016 float=y maxiter=512 inside=0 invert=0.000546391309332721/-1.4/0 colors=000z50z70zB0<3>zJ0zL0zM0zN0zP0zR0<5>z_0z`0za0zb0zd0<14>zu0zv0zw\ 0zx0zy0<14>lz0kz0jz0<5>bz0az0`z0<4>Tz0Sz0Rz0Pz0Nz0Mz0Lz0Iz0Hz0Ez0Dz0Bz\ 0<2>0z00z30z70zB0zD0zH0zJ0zK0zL0zN<3>0zS0zT0zV0zX<4>0zc0zd0zf<14>0zu0z\ v0zw0zx0zy<8>0rz0qz0oz<4>0jz0iz0hz<8>0Xz0Vz0Tz<3>0Pz0Nz0Lz0Jz0Hz0Gz0Dz\ 0Bz<2>00z30z70zB0zD0zF0zG0z<4>P0zQ0zS0zT0zV0z<2>_0z`0za0zb0zc0z<3>h0zi\ 0zk0z<9>u0zv0zw0zx0zy0z<13>z0mz0lz0k<3>z0fz0dz0cz0az0`<4>z0Vz0Tz0S<3>z\ 0Lz0Jz0Hz0Gz0D<3>z04 }

1 1