From: owner-fractint-digest@lists.xmission.com (fractint-digest) To: fractint-digest@lists.xmission.com Subject: fractint-digest V1 #88 Reply-To: fractint-digest Sender: owner-fractint-digest@lists.xmission.com Errors-To: owner-fractint-digest@lists.xmission.com Precedence: bulk fractint-digest Friday, January 23 1998 Volume 01 : Number 088 ---------------------------------------------------------------------- Date: Thu, 22 Jan 1998 22:38:12 -0800 From: "Jay Hill" Subject: (fractint) FotN web pages and FotN 22 Jan 1998 (Manta) F.O.T.N. (Fractal of the Night) 22 Jan 1998 (Manta) Having played with his starfish about as much as one can, (Starfish) http://home.san.rr.com/jayrhill/FotN/FotN21.html Dr. J, the mad scientist, decided he should put it back where he found it. Not a problem, since he had noted its coordinates at the edge of fractal land the night before. As he approached the beach, things just didn't look right. Before he could figure out what the matter was, he found himself neck deep in the sea. "Something awful is down here!" he told himself. On these matters he was usually correct. Only the fact that the Manta was not hungry saved him from becoming munchies for the giant Manta (see tonight's picture). Finally back at the lab he discovered his nearly fatal error. He had left the lab with the wrong formula loaded into his Fractomap(tm). What you expect to find with one formula most certainly will surprise you with another. Yes, set your Fractomap to the formula by Michael G. Wareman. Sometimes, you compute a Julia set, and find it is mostly solid (the point in the corresponding MSet is slightly inside a component). Some of these are pretty boring, a bunch of ripples around the edge. This happened with tonight's fractal. But when I tried inverting it, I got something more to my liking. Here are the Fractint parameter files. Enjoy Jay A web page is here. http://home.san.rr.com/jayrhill/FotN/FotN22.html An index into the FotN so far. http://home.san.rr.com/jayrhill/FotN/FotNindx.html frm:FGZ-Julia { ; (c) Jay Hill, 1998 ; generalization of formula by Michael G. Wareman ; p3 is focus of Julia set z=pixel, c=p3: z1=z*z + c; z = p1*z1*z1/(z1 + p2) + c; |z| <= 16 } Manta { ; (c) Jay Hill, 1998 ; generalization of formula by Michael G. Wareman ; p1 is focus of Julia set ; FGZ-J55i reset=1960 type=formula formulafile=fgz.frm formulaname=fgz-julia center-mag=-0.535207/3.55271e-015/0.4681297/1/90 params=3/0/3/0/-0.552/0 float=y maxiter=255 inside=bof60 outside=atan invert=1/-0.551/0 colors=cw0UfU0MU<27>0Lb0Kc0Lc<6>0U`<7>\ UcY<131>UYaUYaUYaUXaUXaUXa<7>UUcUU\ cUTb<58>U0A1AF1AF savename=Manta } - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 23 Jan 1998 01:25:56 -0800 From: "Jay Hill" Subject: (fractint) 3D glasses for Fractint viewing...so many to view Hi gang, Did you know Fractint can make 3D images which you view with those funky Red and Blue glasses? Ever wonder where you could get them for cheap? I can get you as many as you want for just $4 per pair, er make that per two pair (4 eyes worth). Now that is only $1 per eye!! And as a bonus you can have 27 dazzling images of great astronomical prints! Does this sound like another SPAM from Jay? Well OK, I really don't want to have to go through a sales pitch any more than you. Least of all, make deliveries. So I won't!! :-) Just point your transportation device toward the nearest magazine sales rack and get the March 1998 issue of Astronomy, $3.95. BTW, we are getting some really great posts about advanced formula writing. I'm still hoping for lesson 101 showing the basic MSet plot with these methods. I'm considering posting my Fractal of the Night to the Fractal-Art list only. That should cut down on the traffic some. I assume all you all subscribe to both. In any case you can visit my web page for catch-up view. It looks like my web page at home technique first introduced in the contest is catching on. It could well become the future for this list. The only problem is there are a few folk who are only on email. Frankly, I don't think a token par posted makes up for an off topic post. I made the off-hand remark earlier that we would soon have our hard disks filled with off topic posts just for the image pars. The good posts being long lost. This is indeed coming to pass. We spend all evening snipping and pasting. I am rapidly developing a real mess. Sometimes I think it would be better for off-topic posts not have a par. Then I can just delete it! and be done. Before the contest we had about 500 posts in half a year. The Fractal-Art folk threw us out just in time. The contest developed a thousand posts in two months (give or take). Now it looks like a thousand so far in January. I will still try to create the iFAQ, because out of a projected 10,000 posts by the end of this year, there will be about 200 pages of really top quality material. Are we are seeing what I forecasted? Will you soon have to beg folk to look at your images, compute your pars or try your formula? Will we replace (c) which means don't copy with (p) which means please look? There are literally thousands of each, pars and formula. Jim Muth has explored more than a thousand formula. Not images, formula. From just one formula, I posted pars for about 20,000 MSet midgets earlier (to make this very point). Don't forget, there is at least one screen saver which automates viewing. The problem is, live viewing is too slow. But when I run it with the 20,000 midget files, I find I'm noting down the numbers of about 20% because they are so cool. The MSet has unlimited surprises. But these must be called just average, by definition. Even when you take into account the works of the really good artists, the quantity is overwhelming. There is a series of Bob Margolis' images running on alt.binaries.pictures.fractals which alone is near a thousand. I think archives and collections will soon require too much labor to view. Perhaps some automatic version of my contest web pages would help. One should be able to get a segment, unzip it, and run a batch construction file over night. Then in a few minutes over coffee view the several hundred images followed by blowing away the lot. How else could you ever keep up??!! Perhaps you can't. Pleaaaase don't let this post dampen any spirits, I'm really enjoying the flood. I actually view every par posted. I'm just trying to invent another device to help us, like I did with the contest. So if anyone has a GOOD idea what to do with all these fractals, let us know. Then we will all know where to stick this one.... AlienShip { ; (p) Jay Hill, 1998 ; uses invert to get nice ship lines ; fgz-m-551i reset=1960 type=formula formulafile=fgz.frm formulaname=fgz-mand center-mag=-2.91055/5.32907e-015/0.1909855/1/90 params=3/0/3/0/0/0 float=y maxiter=256 inside=bof60 invert=1/-0.551/0 decomp=256 colors=wK0<6>AAA<22>111000001\ <45>0Tu0Uw0Uw<171>022111000000 } frm:FGZ-Mand { ; (p) Jay Hill, 1998 IF( |p3| == 0) p3 = 16 ENDIF c=pixel, z=sqrt(-c), bailout = real(p3): z1=z*z + c; z = p1*z1*z1/(z1 + p2) + c; |z| <= bailout } Jay PS. The Astronomy magazine is a really good one! - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Sat, 17 Jan 1998 22:52:35 From: "Lavondyss" Subject: Re: (fractint) hello Jean-Pierre I do not know the creators of the fractals that I posted. I gave credit where I knew the creator. Like the Frosty. As for the background, I tried to leave it untouched as best as possible. Thanx for visiting and sending some comments! - -Lavondyss - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Sat, 17 Jan 1998 22:56:15 From: "Lavondyss" Subject: Re: (fractint) hello Thanx for visiting Angela. I'm starting on my next batch of fractals. But I don't know when I'll be done and post them. I have lots of papers due for my college courses, so it might take some time. But anyways, you're welcomed to link to my page as you see fit. Everything there is FREE, and I mean free with no strings attatched..^_^. will be fractaling! - -Lavondyss - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 23 Jan 1998 09:35:48 -0500 From: Gedeon Peteri Subject: (fractint) Duplicate messages These past couple of days I received approximately 20 messages which were duplicates of postings I already received once several days ago. And they keep coming; two just this morning. The duplicates do not bear current dates, but those of the original posting. Is anyone else experiencing this phenomenon? Gedeon - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 23 Jan 1998 06:58:59 -0800 From: "Mike or Linda Allison" Subject: (fractint) [fractint] this is a "can I post yet?" test Hi, all! Well, our computer is more or less up and running again. We're on our 3rd hard drive in the last 12 months :(( I think I have all the messages posted while I was gone (downloaded archives), but if anyone sent me any personal messages Saturday or Sunday, I think they were lost. This is a test posting to see if I can post to the mailing list yet. The test post I made on Tuesday bounced back to me. If this post makes it to ANYONE, please let me know! Thanks! Linda Allison (gumbycat@ix.netcom.com) http://www.geocities.com/~gumbycat http://www.fortunecity.com//tattooine/stephenson/5/abpf.html - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 23 Jan 1998 10:57:55 -0500 From: "Brian E. Jones" Subject: Re: (fractint) Fractal music? Don Archer wrote: >>I listen to all the fractal music I can, and there's none better than Brian's. (And his fractals are terrific too!)<< Thanks for the super-kind words, Don!!! I forgot to add that Netscape users won't be able to hear the opening midi sequence (which I think is one of my better pieces.) But, if you add: /seahorse.mid to the end of my URL, you should be able to retrieve it. Brian http://ourworld.compuserve.com/homepages/Brian_E_Jones - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 23 Jan 1998 11:15:23 -0500 From: Lee Skinner Subject: (fractint) Duplicate mes Gedeon, >>These past couple of days I received approximately 20 messages which we= re duplicates of postings I already received once several days ago. And they= keep coming; two just this morning. The duplicates do not bear current dates, but those of the original posting. Is anyone else experiencing thi= s phenomenon?<< Yes! Tons of them. Very annoying! Lee - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 23 Jan 1998 17:38:00 +1 From: "J.P. Louvet" Subject: Re: (fractint) [fractint] this is a "can I post yet?" test le 23 Jan 98 a 6:58, Mike or Linda Allison ecrivait (Mike or Linda Allison wrote) : > If this post makes it to ANYONE, please let me know! Thanks! Hi Linda, I read it. Kind regards. Jean-Pierre - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 23 Jan 1998 10:09:04 -0800 From: Mark Christenson Subject: Re: (fractint) Colour-map loading problem Paul Carlson wrote: > 4) Loading a colormap messes up the current image. > ... > I press > the 'E' key and then the 'L' key and select a different colormap. > All works well except that a short line (looks like a minus sign) > ... I am having a similar problem with v19.6. In SF5 mode, an array of thin vertical slices about 80 pixels tall are removed. I am not *currently* having this problem with v19.3, but seem to have a vague memory (or perhaps a stray dream fragment) of having this problem early on. Is it possible that this is a known problem, with a solution posted somewhere in the mass of Fractint documentation? Also, thanks to all those who have posted comments on my Netscape 3.x vs 4.x question. Further input is always welcome. Later, Bud - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 23 Jan 1998 16:01:49 -0600 (CST) From: 4wg7kolodzie@vms.csd.mu.edu Subject: (fractint) **TEST** -- E-mail seems broken Hi. Netscape won't connect to my server, so I'm checking to see if the basic method (telneting into the school's user accounts and using Pine) works. I haven't received anything lately either. PARs are forthcoming... ;-) Justin A. Kolodziej - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 23 Jan 1998 17:13:46 EST From: Nature102 Subject: Re: (fractint) Duplicate messages In a message dated 98-01-23 09:38:00 EST, gedeon@InfoAve.Net writes: << These past couple of days I received approximately 20 messages which were duplicates of postings I already received once several days ago. And they keep coming; two just this morning. The duplicates do not bear current dates, but those of the original posting. Is anyone else experiencing this phenomenon? >> Yah, I saw them too. If I didn't know better I'd say that AOL somehow took over the mailing list or something. :-P - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 23 Jan 1998 15:11:38 -0800 From: "Jim sellers" Subject: Re: (fractint) Duplicate messages Yes, I don't pay real close attention but it seems as tho a lot of them are the same. Jim - ---------- > From: Gedeon Peteri > To: Fractint > Subject: (fractint) Duplicate messages > Date: Friday, January 23, 1998 6:35 AM > > These past couple of days I received approximately 20 messages which > were duplicates of postings I already received once several days ago. > And they keep coming; two just this morning. The duplicates do not bear > current dates, but those of the original posting. Is anyone else > experiencing this phenomenon? > Gedeon > > > - > ------------------------------------------------------------ > Thanks for using Fractint, The Fractals and Fractint Discussion List > Post Message: fractint@xmission.com > Get Commands: majordomo@xmission.com "help" > Administrator: twegner@phoenix.net > Unsubscribe: majordomo@xmission.com "unsubscribe fractint" - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 23 Jan 1998 19:22:12 -0500 From: Jack Valero Subject: Re: (fractint) Duplicate mes At 11:15 AM 23/01/98 -0500, you wrote: >Gedeon, > >>>These past couple of days I received approximately 20 messages which were >duplicates of postings I already received once several days ago. And they >keep coming; two just this morning. The duplicates do not bear current >dates, but those of the original posting. Is anyone else experiencing this >phenomenon?<< > Yes, I also am receiving duplicate (multicate?) messages. Yes, I also am receiving duplicate (multicate?) messages. Yes, I also am receiving duplicate (multicate?) messages... Regards - Jack visit our fractal gallery: http://www.globalserve.net/~jval/phractal.html - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 23 Jan 1998 19:35:04 -0600 (CST) From: 4wg7kolodzie@vms.csd.mu.edu Subject: Re: (fractint) Duplicate mes Duplicate messages may be caused by someone setting Netscape (now FREE!!!) to "Send messages as both text and HTML format." This sends TWO messages every time a message is sent. The fix... set Netscape to "Send messages as text only." ;-) P.S. Receiving mail now works, but I still can't send mail from Netscape either in Windows or Linux. Thus the lack of quoting as I got the message 1st. Justin Kolodziej :~( - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 23 Jan 1998 19:04:25 -0700 From: owner-fractint@lists.xmission.com Subject: [none] News from the fractint list administrator. Hi! Sender: owner-fractint@lists.xmission.com Precedence: bulk Reply-To: fractint First, thanks for the efforts to keep on topic. This pays off. Because the list traffic is so high, this continues to be important. I am sure everyone has trouble digesting so many messages, so lets keep our messages focussed on fractal-related content that we are confident will interest most of the several hundred list subscribers. Second, I hereby declare that messages about list administration issues are off topic, except for my messages (I intentionally restrain myself from posting many messages like this one, but by definition everything I post is on topic :-)) As much as you might want to answer my messages with essays about how true it is that people should stay on topic etc. etc., such messages are *also* off topic! Similarly, when there are list problems such as the mysterious posting of old list messages, please don't discuss this on the list - email me if you think it is necessary. Speaking of which, I don't know the cause of the recent reposting of old messages. As long as it happens only rarely, I won't worry, but if we see it again any time soon I will investigate with xmission. The xmission majordomo administrators are investigating why one of our subscribers (the Carlsons) from netcom.com can't post. (Thanks to the folks who are relaying his their messages to the list so he can post, albeit indirectly.) His messages bounce with headers that say his address is "forbidden by the administrator" or some such. If you ever see such a bounced message (bounced by xmission itself, not bounced by majordomo) let me know, and DON'T take it personally. NOBODY is trying to screen you out, least of all me. If I ever have to ban someone I'll let them know why! I do sometimes have to delete subscribers who can't receive list messages, which then all bounce to me. Necessarily I can't explain to such folks what I did - they can't get mail. If that happens to you (you'll know because you'll stop getting list messages), just resubscribe. Recently the findmail folks subscribed their system to our list (without advance permission), and mirrored it on a web page. They informed me after the fact. I requested they discontinue it, and shortly thereafter they stopped (I also unsubscribed their email address that was mirroring the list to make sure!) The reason I did this is I don't want to expose your email addresses to the anonymous public any more than necessary. The request-confirmation subscription method to the list helps prevent spammers from subscribing, but the digest is visible on the WWW so people can see your addresses, so this list isn't really private, though it exposes you a lot less to spammers than usenet. Even though the findmail web interface was intriguing and would give the list good exposure, I didn't think I could in good conscience allow it without making that clear to you, the list members, in advance. Some of you might not want our discussions made more public than they are already. As far as I am concerned that is the end of it. I'll keep an eye out for other "subscribers" that are really automatic list mirrors. Finally, in my opinion xmission is a capable list host despite occasional problems. Everybody should know that xmission is providing this list for free, and it does cost them effort and resources. I am not even an xmission user, so they don't owe me anything. W all owe them thanks! If you have responses to anything I've written here, PLEASE don't post it to the list. If you think there are non-fractal issues we should discuss here, propose it to me privately and I'll entertain the proposal. But once again, since there's so much list traffic, let's keep list administration discussion off the list except for these occasional messages from me to let know know what is happening. Thanks, and happy fractal discussions! Tim Wegner - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 23 Jan 1998 19:48:24 -0700 (MST) From: Kerry Mitchell Subject: (fractint) Explanation, parameters, & formulas--range (long) comment { ; narrative copyright Kerry Mitchell Range In the range coloring schemes, the pixels of the Julia set images are only colored when the iterate (of a component of it) falls within a specified range. This is similar to the bubble method, which only treats orbits that pass close to the origin. With an appropriate choice of parameters, the range schemes can be forced to generate bubbles-type images. However, the intent of the range method was to render Julia sets through thin rings of color, using a relatively small range of magnitudes in which to trap the orbit. The simplest case is shown in the range-r formulas. Here, the orbit is monitored until the magnitude of the iterate falls within a specified range. When this occurs, that iterate is saved. Upon bailout (either escape or maximum iterations), the last iterate falling within the range is recalled, and its polar angle shown via decomposition coloring. Depending on the range chosen, the results can be circular rings, pinched loops (figure "8"), or open loops. The shapes are definitely non-fractal, but are assembled in such a way to recover the underlying fractal structure. Choosing the range is very important, as a greatly impacts the image. The most direct route is to simply specify the upper and lower bounds of the range. This is the method used in range-r, and can require a great deal of thought, to coordinate a range with the Julia parameter. The other formulas using this method adust the ranges depending on the Julia parameter c. The range parameters are set by the user, the center and the width. For example, choosing a center of 1.0 and a width of 0.1 means that the range will extend from 0.95 to 1.05, half the width either side of the center. The value of the center depends on the the formula chosen. In range-r-1, the basis for the range is |c|, so the above choices would result in a range from 95% |c| to 105% |c|. This basis was chosen since c is the first iterate of 0 (0^2 + c = c), and zero is the critical point of z^2 + c. Another way of looking at it is that, by choosing a range centered around c, the orbit of 0 will fall into the range on the first iteration. The formulas range-r-2 and -3 use the second and third iterations, respectively, so their bases are |sqr(c)+c| and |sqr(sqr(c)+c)+c|. This method opens itself up to many variations. For example, instead of monitoring the magnitude of the iterate, the real or imaginary components can be tracked. The formulas range-x and range-y perform this. In range-x, the real part of the iterate is watched. When it falls into the target range, the imaginary part of the iterate is scaled and used as the decomposition angle. Range-y does the same thing, switching the roles of the real and imaginary parts. Each is offered with the 4 above range setting options: explicit, c, sqr(c)+c, sqr(sqr(c)+c)+c (the formulas are named similar to the range-r entries, substituting -x or -y as appropriate). Each of the above formulas uses the last occurance of an iterate inside the target range to color the pixel. If the orbit is such that the range is hit many times, that prior information is lost. One manner to recover part of that information is with the rangecount formulas. The basic setup is the same as the range formulas, but now the decomposition angle is the count of how many times the orbit landed in the range. A scale factor is available to convert the count into a useable angle. This method seems to work especially well when the range width is increased, to increase the hit count and make more colors available. } range-r-1-sample { ; copyright Kerry Mitchell ; ; sample parameter file for range-r-1_jul ; reset=1960 type=formula formulafile=fractint.frm formulaname=range-r-1_jul passes=1 center-mag=0/0/0.85 params=-0.778/0.201/4/0/1/0.05 float=y maxiter=256 inside=0 colors=000<11>z00<3>zA0<6>zi0zo0xq2vt4tw6qz9<11>0zz<10>0Uz0\ Rz0Px0Nu0Ls0Ip<3>0BW<3>100<9>p00v00z00<2>z80zB0zG0<4>ze0zk0\ zo0<2>sw7pzAlzE<10>0zz<11>0Rz<2>0Kr0Io0Gj0Fe0D_0BU08M05E036\ 200<9>r00w00z10z30z60z80zC0<5>zg0zl0yp1ws3uu5sx7ozB<9>7zs3z\ w0yz<10>0Tz0Qy0Ow0Mt0Kr0In0Gi0Ec0CZ<3>024300<10>x00z10z40z6\ 0z90zD0<5>zh0zm0yq1ws3tv6ry8<10>6zt2zx0xz<11>0Qy0Ov0Lt0Jq0H\ m0Fg0Eb0CY<3>012 cyclerange=0/255 decomp=256 periodicity=0 } range-r-2-sample { ; copyright Kerry Mitchell ; ; sample parameter file for range-r-2_jul ; reset=1960 type=formula formulafile=fractint.frm formulaname=range-r-2_jul passes=1 center-mag=0/0/0.85 params=-0.778/0.201/4/0/1/0.125 float=y maxiter=256 inside=0 colors=000<11>z00<3>zA0<6>zi0zo0xq2vt4tw6qz9<11>0zz<10>0Uz0R\ z0Px0Nu0Ls0Ip<3>0BW<3>100<9>p00v00z00<2>z80zB0zG0<4>ze0zk0zo\ 0<2>sw7pzAlzE<10>0zz<11>0Rz<2>0Kr0Io0Gj0Fe0D_0BU08M05E036200\ <9>r00w00z10z30z60z80zC0<5>zg0zl0yp1ws3uu5sx7ozB<9>7zs3zw0yz\ <10>0Tz0Qy0Ow0Mt0Kr0In0Gi0Ec0CZ<3>024300<10>x00z10z40z60z90z\ D0<5>zh0zm0yq1ws3tv6ry8<10>6zt2zx0xz<11>0Qy0Ov0Lt0Jq0Hm0Fg0E\ b0CY<3>012 cyclerange=0/255 decomp=256 periodicity=0 } range-x-1-sample { ; copyright Kerry Mitchell ; ; sample parameter file for range-x-1_jul ; reset=1960 type=formula formulafile=fractint.frm formulaname=range-x-1_jul passes=1 center-mag=0/0/1.2/1/90 params=0.28/0.005/4/64/2/0.02 float=y maxiter=256 inside=0 decomp=256 periodicity=0 colors=000<35>x00z00z10<34>zx0zz0zz1<36>zzz<51>zz2zz0zy0<5\ 1>y20x00w00<30>200000000000000 cyclerange=0/255 } range-y-2-sample { ; copyright Kerry Mitchell ; ; sample parameter file for range-y-2_jul ; reset=1960 type=formula formulafile=fractint.frm formulaname=range-y-2_jul passes=1 center-mag=0/0/1.2/1/90 params=0.28/0.005/4/64/3/0.3 float=y maxiter=2000 inside=0 decomp=256 periodicity=0 colors=000<40>x00z00z00<40>zy0zz0zz1<39>zzxzzzzzz<40>1zz0z\ z0yz<39>02z00z00z<41>000 cyclerange=0/255 } third-time's... { ; copyright Kerry Mitchell ; ; sample parameter file for range-r-3_jul ; reset=1960 type=formula formulafile=fractint.frm formulaname=range-r-3_jul passes=1 center-mag=0/0/0.9/1/-10 params=-0.0573720519293145/0.6691939992424446/4/0/3/0.333333 float=y maxiter=3000 inside=0 decomp=256 periodicity=0 colors=000<22>00w00z01z<4>07z08z0Az0Cz<13>0lz0oz1py<5>7xs9zq\ Bzo<21>wz3zz0zy0<21>zT0zR0yQ0xP0<4>rK0pI0nI0<5>ZC0WB0SA0<6>0\ 01<20>00s00v00x00z<4>06z08z09z0Bz0Dz<11>0hz0kz0mz0oz<6>8yrAz\ pCzn<21>xz2zz0zx0<22>zR0yQ0wP0<2>tL0rK0qJ0oI0mH0<4>_D0YC0UB0\ <6>210 cyclerange=0/255 } threex { ; copyright Kerry Mitchell ; ; sample parameter file for range-x-3_jul ; reset=1960 type=formula formulafile=fractint.frm formulaname=range-x-3_jul passes=1 center-mag=0/0/0.8 params=-0.1/1/1000/1/1/1 float=y maxiter=256 inside=0 decomp=256 periodicity=0 cyclerange=0/255 colors=00610A20C30F<2>61K71M81N91O<10>K6_L7`M8`<4>RCdSCeTDfUE\ fVFgWGh<9>eSnfTogUphWpiXqjZq<7>rjvslvtnwupwvqx<2>ywyzyzzyz<8>\ qiupguoetndtmbslar<7>dQncPmbOlaNl`Mk<7>TDfSCeRCd<4>M8`L7`K6_J\ 6ZI5YH5X<7>91O81N71M61K50I40H30F20C10A00610820B30E<4>81M91OA2\ PB2Q<3>F3UG4WH4W<4>M7`N8aO9bPAbQAc<11>`MlaNlbPmcQmdRn<6>k`rla\ smcsnet<8>wtyxvyyxzzzzyxzxvy<11>lask`rjZriYqhXp<2>eSodRncQmbP\ maNl<15>N8aM7`L7_K6ZJ6YI5XH4WG4W<6>91O81M71L61J50I40G<2>108000 } threey { ; copyright Kerry Mitchell ; ; sample parameter file for range-y-3_jul ; reset=1960 type=formula formulafile=fractint.frm passes=1 center-mag=-0.339487/0.595596/11.21076 params=-0.1/1/64/1/0.5/1 float=y maxiter=256 inside=0 decomp=256 periodicity=0 colors=N`p<10>RftSftSgtTgtThu<3>VjvVjvWkvXkw<14>dsyesyftygtyhuz\ <3>kwzlwznxzoxz<2>tzzzzztzzryz<4>kwzjvzivzhuzhuzgty<8>`px`ox_ox\ _nxZnx<5>WkvVjvVjvViv<12>PcrObqObqOapNap<20>GSfFRfFReFQd<13>AJX\ AJWAIVAIU9HU<33>001000001<31>9GS9HT9HUAIUAIVAJW<25>IVjJWkJWkKXl\ KXl<6>M`o cyclerange=0/255 formulaname=range-y-3_jul } frm:range-r_jul { ; Kerry Mitchell ; ; colors Julia set only when magnitude of iterate ; falls in certain range; range explicity specified ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = unused ; real(p3) = lower bound of range (try 0.05) ; imag(p3) = upper bound of range (try 0.06) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), iter=1, z=1 lo=real(p3), hi=imag(p3): ; ; iteration ; if magnitude of iterate falls into range, save iterate ; iter=iter+1, zc=sqr(zc)+c, r=|zc| if ((r>lo)&&(rmaxr)||(iter==maxit)) iter=-1 end if iter>0 } frm:range-r-1_jul { ; Kerry Mitchell ; ; colors Julia set only when magnitude of iterate ; falls in certain range; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = unused ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by |c| ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), iter=1 z=1, fac=|c| lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac: ; ; iteration ; if magnitude of iterate falls into range, save iterate ; iter=iter+1, zc=sqr(zc)+c, r=|zc| if ((r>lo)&&(rmaxr)||(iter==maxit)) iter=-1 end if iter>0 } frm:range-r-2_jul { ; Kerry Mitchell ; ; colors Julia set only when magnitude of iterate ; falls in certain range; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = unused ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by |sqr(c)+c| ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), iter=1 z=1, fac=|sqr(c)+c| lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac: ; ; iteration ; if magnitude of iterate falls into range, save iterate ; iter=iter+1, zc=sqr(zc)+c, r=|zc| if ((r>lo)&&(rmaxr)||(iter==maxit)) iter=-1 end if iter>0 } frm:range-r-3_jul { ; Kerry Mitchell ; ; colors Julia set only when magnitude of iterate ; falls in certain range; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = unused ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by |sqr(sqr(c)+c)+c| ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), iter=1 z=1, fac=|sqr(sqr(c)+c)+c| lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac: ; ; iteration ; if magnitude of iterate falls into range, save iterate ; iter=iter+1, zc=sqr(zc)+c, r=|zc| if ((r>lo)&&(rmaxr)||(iter==maxit)) iter=-1 end if iter>0 } frm:range-x_jul { ; Kerry Mitchell ; ; colors Julia set by imaginary part of iterate, only ; when real part of iterate falls in certain range; ; range specified explicitly ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 16) ; real(p3) = lower end of range (try 0.05) ; imag(p3) = upper end of range (try 0.06) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2) iter=1, angle=0, lo=real(p3), hi=imag(p3): ; ; iteration ; if real part of iterate falls into range, ; scale imaginary part into decomp angle ; iter=iter+1, zc=sqr(zc)+c, r=real(zc) if ((r>lo)&&(rmaxr)||(iter==maxit)) iter=-1 z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:range-x-1_jul { ; Kerry Mitchell ; ; colors Julia set by imaginary part of iterate, only ; when real part of iterate falls in certain range; ; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 16) ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by real(c) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2), iter=1 angle=0, fac=real(c) lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac if (hilo)&&(rmaxr)||(iter==maxit)) iter=-1 z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:range-x-2_jul { ; Kerry Mitchell ; ; colors Julia set by imaginary part of iterate, only ; when real part of iterate falls in certain range; ; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 16) ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by real(sqr(c)+c) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2), iter=1 angle=0, fac=real(sqr(c)+c) lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac if (hilo)&&(rmaxr)||(iter==maxit)) iter=-1 z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:range-x-3_jul { ; Kerry Mitchell ; ; colors Julia set by imaginary part of iterate, only ; when real part of iterate falls in certain range; ; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 16) ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by real(sqr(sqr(c)+c)+c) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2), iter=1 angle=0, fac=real(sqr(sqr(c)+c)+c) lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac if (hilo)&&(rmaxr)||(iter==maxit)) iter=-1 z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:range-y_jul { ; Kerry Mitchell ; ; colors Julia set by real part of iterate, only ; when imaginary part of iterate falls in certain range; ; range specified explicitly ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 16) ; real(p3) = lower end of range (try 0.05) ; imag(p3) = upper end of range (try 0.06) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2) iter=1, angle=0, lo=real(p3), hi=imag(p3): ; ; iteration ; if imaginary part of iterate falls into range, ; scale real part into decomp angle ; iter=iter+1, zc=sqr(zc)+c, r=imag(zc) if ((r>lo)&&(rmaxr)||(iter==maxit)) iter=-1 z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:range-y-1_jul { ; Kerry Mitchell ; ; colors Julia set by real part of iterate, only when ; imaginary part of iterate falls in certain range; ; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 16) ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by imag(c) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2), iter=1 angle=0, fac=imag(c) lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac if (hilo)&&(rmaxr)||(iter==maxit)) iter=-1 z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:range-y-2_jul { ; Kerry Mitchell ; ; colors Julia set by real part of iterate, only when ; imaginary part of iterate falls in certain range; ; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 16) ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by imag(sqr(c)+c) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2), iter=1 angle=0, fac=imag(sqr(c)+c) lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac if (hilo)&&(rmaxr)||(iter==maxit)) iter=-1 z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:range-y-3_jul { ; Kerry Mitchell ; ; colors Julia set by real part of iterate, only when ; imaginary part of iterate falls in certain range; ; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 16) ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by imag(sqr(sqr(c)+c)+c) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2), iter=1 angle=0, fac=imag(sqr(sqr(c)+c)+c) lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac if (hilo)&&(rmaxr)||(iter==maxit)) iter=-1 z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:rangecount-r_jul { ; Kerry Mitchell ; ; colors Julia set only when magnitude of iterate ; falls in certain range; range explicity specified ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 1) ; real(p3) = lower bound of range (try 0.05) ; imag(p3) = upper bound of range (try 0.06) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2) iter=1, count=0, lo=real(p3), hi=imag(p3): ; ; iteration ; if magnitude of iterate falls into range, ; increment counter ; iter=iter+1, zc=sqr(zc)+c, r=|zc| if ((r>lo)&&(rmaxr)||(iter==maxit)) iter=-1 angle=scale*count z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:rangecount-r-1_jul { ; Kerry Mitchell ; ; colors Julia set only when magnitude of iterate ; falls in certain range; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 1) ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by |c| ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2) iter=1, count=0, fac=|c| lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac: ; ; iteration ; if magnitude of iterate falls into range, ; increment counter ; iter=iter+1, zc=sqr(zc)+c, r=|zc| if ((r>lo)&&(rmaxr)||(iter==maxit)) iter=-1 angle=scale*count z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:rangecount-r-2_jul { ; Kerry Mitchell ; ; colors Julia set only when magnitude of iterate ; falls in certain range; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 1) ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by |sqr(c)+c| ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2) iter=1, count=0, fac=|sqr(c)+c| lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac: ; ; iteration ; if magnitude of iterate falls into range, ; increment counter ; iter=iter+1, zc=sqr(zc)+c, r=|zc| if ((r>lo)&&(rmaxr)||(iter==maxit)) iter=-1 angle=scale*count z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:rangecount-r-3_jul { ; Kerry Mitchell ; ; colors Julia set only when magnitude of iterate ; falls in certain range; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 1) ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by |sqr(sqr(c)+c)+c| ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2) iter=1, count=0, fac=|sqr(sqr(c)+c)+c| lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac: ; ; iteration ; if magnitude of iterate falls into range, ; increment counter ; iter=iter+1, zc=sqr(zc)+c, r=|zc| if ((r>lo)&&(rmaxr)||(iter==maxit)) iter=-1 angle=scale*count z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:rangecount-x_jul { ; Kerry Mitchell ; ; colors Julia set according to how many times real ; part of iterate falls in certain range; ; range specified explicitly ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 1) ; real(p3) = lower end of range (try 0.05) ; imag(p3) = upper end of range (try 0.06) ; center of range is multiplied by real(c) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2) iter=1, count=0, lo=real(p3), hi=imag(p3): ; ; iteration ; if real part of iterate falls into range, ; increment counter ; iter=iter+1, zc=sqr(zc)+c, r=real(zc) if ((r>lo)&&(rmaxr)||(iter==maxit)) iter=-1 angle=scale*count z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:rangecount-x-1_jul { ; Kerry Mitchell ; ; colors Julia set according to how many times real ; part of iterate falls in certain range; ; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 1) ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by real(c) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2), iter=1 count=0, fac=real(c) lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac if (hilo)&&(rmaxr)||(iter==maxit)) iter=-1 angle=scale*count z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:rangecount-x-2_jul { ; Kerry Mitchell ; ; colors Julia set according to how many times real ; part of iterate falls in certain range; ; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 1) ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by real(sqr(c)+c) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2), iter=1 count=0, fac=real(sqr(c)+c) lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac if (hilo)&&(rmaxr)||(iter==maxit)) iter=-1 angle=scale*count z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:rangecount-x-3_jul { ; Kerry Mitchell ; ; colors Julia set according to how many times real ; part of iterate falls in certain range; ; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 1) ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by real(sqr(sqr(c)+c)+c) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2), iter=1 count=0, fac=real(sqr(sqr(c)+c)+c) lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac if (hilo)&&(rmaxr)||(iter==maxit)) iter=-1 angle=scale*count z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:rangecount-y_jul { ; Kerry Mitchell ; ; colors Julia set according to how many times imaginary ; part of iterate falls in certain range; ; range specified explicitly ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 1) ; real(p3) = lower end of range (try 0.05) ; imag(p3) = upper end of range (try 0.1) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2) iter=1, count=0, lo=real(p3), hi=imag(p3): ; ; iteration ; if imaginary part of iterate falls into range, ; increment counter ; iter=iter+1, zc=sqr(zc)+c, r=imag(zc) if ((r>lo)&&(rmaxr)||(iter==maxit)) iter=-1 angle=scale*count z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:rangecount-y-1_jul { ; Kerry Mitchell ; ; colors Julia set according to how many times imaginary ; part of iterate falls in certain range; ; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 1) ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by imag(c) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2), iter=1 count=0, fac=imag(c) lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac if (hilo)&&(rmaxr)||(iter==maxit)) iter=-1 angle=scale*count z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:rangecount-y-2_jul { ; Kerry Mitchell ; ; colors Julia set according to how many times imaginary ; part of iterate falls in certain range; ; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 1) ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by imag(sqr(c)+c) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2), iter=1 count=0, fac=imag(sqr(c)+c) lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac if (hilo)&&(rmaxr)||(iter==maxit)) iter=-1 angle=scale*count z=cos(angle)+flip(sin(angle)) end if iter>0 } frm:rangecount-y-3_jul { ; Kerry Mitchell ; ; colors Julia set according to how many times imaginary ; part of iterate falls in certain range; ; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 1) ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by imag(sqr(sqr(c)+c)+c) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2), iter=1 count=0, fac=imag(sqr(sqr(c)+c)+c) lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac if (hilo)&&(rmaxr)||(iter==maxit)) iter=-1 angle=scale*count z=cos(angle)+flip(sin(angle)) end if iter>0 } - ------------------------------------------------------------------------------- Kerry Mitchell lkmitch@primenet.com - ------------------------------------------------------------------------------- - - - ------------------------------------------------------------ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@xmission.com Get Commands: majordomo@xmission.com "help" Administrator: twegner@phoenix.net Unsubscribe: majordomo@xmission.com "unsubscribe fractint" ------------------------------ End of fractint-digest V1 #88 *****************************