From: "Gerald K. Dobiasovsky" Subject: Re: (fractint) Fractint Development: The Ljapunow Type Date: 02 Apr 2001 00:11:27 +0200 Guy Marson wrote: > Hi fractinters, > > Does somebody know the Lyapunow-formula written for the Parser similar to > the build-in type, or a place (url or so) to find this formula? > > Cheers, > > Guy Hi, Since I have never seen such a beast (although the parser can be coaxed to do astounding things, as all the formulas by Sylvie Gallet, Damien Jones, Paul Carlson etc. are proof of), I feel obliged to post my construct. A word of caution is in order here. This thing is not exactly user friendly for a couple of reasons (some are: the original was written when there existed no if- statements, the parser supported only much smaller formulas, and *I* know what all those variables are supposed to achieve - or at least I think I do ;-)). Some explanations: (Parameter names in the formula comments are written in the form: p# ... real part / imaginary part) The ab-String is input the same way as in Fractint's Lyapunov type, converting a's to 1's and b's to 0's, but *without* dropping the leading a and the trailing b!!! In fact there's no need to rotate the string at all, it may have leading b's; the length of the string is input in a separate variable (abMax). Scaling Exponent and Scaling Factor are used to bring the output into the appropriate color range (a bit of fiddling around is necessary here). Filter Cycles does the same as Fractint's Lyapunov parameter. Bailout is used to catch possible overflows of the iteration function. Fractint is very good at catching those itself (at first my formula ended in the statement "n == n", letting all pixels iterate maxiter times and leaving it to Fractint what happened to those values that grew too big), only it insisted on painting those pixels with a different color than those with non-overflowing, but still positive Lyapunov exponents. Zero Level: Normally all pixels with a positive result are painted as one color value, those with negative values are mapped onto the whole color map. Due to small calculation errors, pixels with results near zero end up "on the wrong side of the dividing line" (using lyapunov.map and assigning black as background one sometimes gets black spots in otherwise yellow areas or yellow "junk" in areas that should be background). This parameter moves the "dividing line", by setting it to e.g. -10 all values (-10 < value < 0) will be painted as background. (Note: This test is done *before* the value is divided by the number of iterations!) Divergence Result: This is the value (*not* the color number!) of background pixels returned to Fractint to map it onto the loaded color map. Quite a bit of fiddling is needed here, too, because every change of the number of iterations needs a recalibration of this parametrer for getting the same color output as before (did I point out this formulas not being user friendly? ;-)) Further notes: One doesn't need to set logmap=1 (as is done in the accompanying pars), but if one does, maxiter has to be set to at least 256 or not all colors of the color map can be reached (=displayed). Fractint iterates its Lyapunov type differently from these formula implementations (if one has a string of "aab" then Fractint iterates its Lyapunov three times for each iteration set as maxiter - two time because of the two a's, one time for the lone b; in the formula parser each iteration is *one* loop using *one* string token, of course). Well, I hope you will have fun with formulas nevertheless and I better stop now before this posting grows bigger still. Regards, Gerald ---------------- cut here, save as .par file ------------------ Lyapunov {;Parser version of Fractint's Lyapunov formula ; reset=2001 type=formula formulaname=Lyapunov corners=0/6/0/4.5 params=0.66/3/1/0.5/0.35/100/10/1.4/1000000 float=y maxiter=1000 inside=zmag outside=255 logmap=yes periodicity=0 colors=@lyapunov.map } LyapSqrSinR {;Lyapunov-Fractal of "Do-It-Yourself"-Formula ; reset=2001 type=formula formulaname=LyapSqrSinR corners=0.006343064/3.837554/-0.09798406/3.733226 params=2.5/1.5/3/1/0.5/0.55/10/100/1000000/1.4 float=y maxiter=1000 inside=zmag outside=255 logmap=yes periodicity=0 colors=@lyapunov.map } frm:Lyapunov {;"standard" Lambda-Formula ; ;abMax = Length of ab-string in the form of: 2^LENGTH - 1 ;periodicity=no, inside=zmag, outside=ColorNumber ; ;p1 ... Starting Value / abMax ;p2 ... ab-String / Scaling Exponent ;p3 ... Scaling Faktor / Filter Cycles ;p4 ... Zero Level / Divergence Result ;p5 ... Bailout ; x = real(p1), max = imag(p1), ab = real(p2) se = imag(p2), sk = real(p3) n = imag(p3), z = imag(p4) mxi = n + 1 - maxit sum = 0: n = n - 1 ab = 2*ab IF (ab > max) ab = ab - max c = imag(pixel) ELSE c = real(pixel) ENDIF IF (n < 0) sum = sum + log(abs(c*(1-2*x))) IF (n <= mxi && sum < p4) z = (sum/n)^se*sk ENDIF ENDIF x = c*x*(1-x) p5 >= abs(x) } frm:LyapSqrSinR {;Function a*(sin(x+r))^2 ; ;ab-String: Swapping of r between two values ;abMax = Length of ab-string in the form of: 2^LENGTH - 1 ;periodicity=no, inside=zmag, outside=ColorNumber ; ;p1 ... Factor a / Starting Value ;p2 ... abMax / ab-String ;p3 ... Scaling Exponent / Scaling Faktor ;p4 ... Zero Level / Filter Cycles ;p5 ... Bailout / Divergence Result ; a = real(p1), x = imag(p1) max = real(p2), ab = imag(p2) se = real(p3), sk = imag(p3) n = imag(p4), z = imag(p5) mxi = n + 1 - maxit a2 = 2*a, sum = 0: n = n - 1 ab = 2*ab IF (ab > max) ab = ab - max r = imag(pixel) ELSE r = real(pixel) ENDIF xpr = x + r, sxpr = sin(xpr) IF (n < 0) sum = sum + log(abs(a2*sxpr*cos(xpr))) IF (n <= mxi && sum < p4) z = (sum/n)^se*sk ENDIF ENDIF x = a*sqr(sxpr) p5 >= abs(x) } ----------------------- end of .par --------------------------- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Andrew Coppin" Subject: Re: (fractint) Fractint Development Date: 02 Apr 2001 15:02:06 -0000 >From: "Jonathan Osuch" >Reply-To: fractint@lists.xmission.com >To: >Subject: Re: (fractint) Fractint Development >Date: Thu, 29 Mar 2001 19:33:11 -0600 > >I am currently working on the true color support for the DOS version. >There >seems to be a problem with the routines that Bert Tyler added. At any >rate, >I'm having difficulty getting the images to appear correctly colored on the >screen. I'll let you know when it is fixed. Hmm... I know those routines were there (there's some debug option that makes type=test do some truecolour stuff). I always wondered what the deal was with that... >The memory limitations stem from two sources. One is that Fractint is >compiled in the medium memory model. This means that memory usable for >near >data is limited to 64KB unless some form of swapping is done. This memory >includes the stack space, and we are banging up against this limit >constantly. And, no it isn't a simple matter to just change the memory >model. So, you mean that FractInt can as such only use 64KB of memory? Are you saying that if you *did* change the memory model this would magically make everything better? (I must confess to not knowing what a "memory model" is. I presume it's something to do with the size of the memory address references or something...) What's involved in such a change? Is it just a case of going through the program and changing half a million lines of code on a find-and-replace basis, or does it require an actaul redesign of the code? I'd really prefer FractInt to remain a DOS program, or perhaps to have a DOS *and* a Windows version. (...and a Linux/UNIX version, like they do with POV-Ray. Hey... isn't that a Stone Soup project too?) >The other problem is that we do indeed use extended and/or expanded >memory for options other than just disk video. Saving the on screen image >when switching to a menu comes to mind. If you had more memory to play with, could this be avoided? (I understand that disk video can use insane quantities of RAM, but keeping a copy of the video buffer for a normal screen shouldn't be too bad...) >I'll let all the other developer's respond to your question themselves. Hmm... they seem rather quiet so far... An the basis that quiet implies busy, this may well be a good sign 8-) >Jonathan Thanks for the information! Andrew. _________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD 03-04-01 (Many Happy Returns [5]) Date: 02 Apr 2001 21:47:12 EDT Classic FOTD -- April 03, 2001 (Rating 5) Fractal visionaries and enthusiasts: Today, the FOTD returns after its 1-1/2 week hiatus, with the first fractal I've calculated in that time. Of course, this is the reason I have named it "Many Happy Returns. The average rating of 5 reflects my opinion of my first fractal effort in 11 days. The conditions here at the new Fractal Central auxiliary are still a bit hectic, but they are becoming more organized every day. In fact, the organization is such that I almost know where everything is located. Unfortunately, I still lack the time for the long philosophical discussions that have made the FOTD what it is :-/ but as things gradually return to normal in the near future, the FOTD discussions will become longer and more complex, until hopefully we finally solve the mystery of the universe. :-\ Today's image however is no mystery. It was created by combining small negative portions of Z^(-1.2) and Z^(-12). It's one of those moth-eaten images so full of holes that the holes are more interesting than the midget at the center. Since my DSL internet connection is not yet established, the GIF images are not yet being posted to Usenet, but hopefully Paul and Scott have posted today's image to their web sites at: and at: The fractal weather today was mostly cloudy and a chilly 50F (10C) -- conditions that combined with a brisk wind to keep the fractal cats indoors sulking most of the afternoon. I eased their distress with a treat of tuna. I see it's time to do a little more organizing, but I'll return in another 24 hours with another fractal. Until then, take care, and the fractals will keep getting better. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Many_Happy_Returns { ; time=0:29:18.22--SF5 on a p200 reset=2001 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.02268278481078340/-0.001079531652657\ 37/1.821185e+009/1/-127.5 params=12/-1.2/1/-12/-1.15/800 float=y maxiter=2500 inside=0 logmap=380 periodicity=10 colors=000bmiblhbkgajgaifaieahdagc`fc`eb`da`d``c__\ b__aZ_`Y__X__XYZWWZVVZUTYTRYSQYROXQMXPLXPKZQJ_QI`Q\ HaRGbRFcREeSDfSCgSChSBiTAjT9kT8mU7nU6oU5pV4qV3rV3s\ V5nR7iO8dLA_IBVFDQCEM9DOADQADRACTBCUBCWBBXCBZCB_CB\ aCAcDAdDAfD9gE9iE9jE8lF8mF8oF8pF9oGAnGBnHCmHDlHElI\ FkIGkJHjJIiJJiKKhKLgKMgLNfLOfMPeMQdMRdNScNScNRdMQe\ MPeMOfMOfMNgMMhMLhLKiLKiLJjLIkLHkLGlLGlLHkKHkKkr9h\ oCflFdiIafL_cOY`RVYUTVXRR_OObMLeKIhHFkFCnD9qA6t83w\ 60yDGqKVjQicTafVViYOl_Hoa8taAqaCoaEmaGjaIhaKfaMcaO\ aaP_aRXaTVaVTaXQaZOa`MabJadHSt_aeFfhLjjRnmXpt`qqar\ obsmbskcticugduedvbew`fxZfxXgyVgzThzRhxRewRbvR`uRY\ tRWsRTqRRpROoRMnRJmRHlREjO8kQAkRClSElUGmVImWKnXMnZ\ On_Qo`SoaUpcWpdYqe_qfaqhcrierjgskismktnmtootpqpoom\ nnjmlglkdljakhZjgVieShdPhcMgaJf`GeaDdbAdcBcdBceBcf\ BcgCchCciCcjCckDclDcmDcnDcoEcpEcqEcrEcsCctEcuGcvIc\ wKcxMcyOczQczSczUczWczYcz } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Michael Weitzel Subject: Re: (fractint) Fractint Development: The Ljapunow Type Date: 01 Apr 2001 13:27:19 +0200 Am Sonntag, den 01. April 2001, um 00:44h schrieb Guy Marson: > Does somebody know the Lyapunow-formula written for the Parser similar to > the build-in type, or a place (url or so) to find this formula? I'm not an expert ... but ... Ljapunow diagrams are based on simple population models (for yeast for example) or other oscillating systems. In the beginning (time t=0) of the experiment you start with x[t] = x[0] individuals. The number x[t+1] of individuals in generation t+1 is proportional to the number x[t] in generation t (the generation before) and the food which is given by the environment (and/or was left over by former generations) and other environmental parameters - all together expressed through r: x[t+1] ~ x[t] x[t+1] ~ r Fractint uses the "logistic equation" to determine this number: x[t+1] = r * x[t] * (1 - x[t]) For the calculation of Ljapunow diagrams the parameter r ist changed periodically in a predefined way - to A or to B. The sequence of A's and B's defines the rules of the game: For example ABB results in ...BABBABBABBABBABBA... . The screen shows an A-B-plane. If the sequence says, that r=B - you have to set r to the B-coordinate of your current pixel... if it says r=A the A-coordinate is used. The formula is iterated a few hundred times ... so that the influence of the starting value x[0] decreases more and more. Then the calculation continues another few hundred/thousand times and while iterating the Ljapunow exponent lambda is calculated (see literature, characterizes the averange error-growth in the neighborhood of x[0]) using the simplification that ln(a*b*c) = ln(a)+ln(b)+ln(c) (which protects the floating point numbers from overflow): 1 | En | lambda(x[0]) = --- ln|----| n | E0 | | En | | En | | En-1 | | E1 | with total error amplification : |----| = |------|*|------|*...*|----| | E0 | | En-1 | | En-2 | | E0 | | Ea | d f(x[a-1]) |------| can be expressed as ----------- | Ea-1 | d x[a-1] n n 1 --- |d (r*x[i]*(1-x[i]))| 1 --- lambda(x[0]) = --- \ ln|-------------------| = --- \ ln|r*(1-2*x[i])| n / | d x[i] | n / --- --- i=0 i=0 If you use your "natural" screen coordinates (for ex.: x=0...1023, y=0..767) you probably won't see anything on your screen. You can see Fractint's corner parameters if you press [Tab]. -- Michael LDKnet / LDK/LUG / Unix-AG *Weitzel* /LinuX --- email: michael(at)ldknet.org Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Michael Weitzel Subject: Re: (fractint) Fractint Development: The Ljapunow Type Date: 03 Apr 2001 12:47:55 +0200 Am Montag, den 02. April 2001, um 00:11h schrieb Gerald K. Dobiasovsky: > > Does somebody know the Lyapunow-formula written for the Parser similar to > > the build-in type, or a place (url or so) to find this formula? [your frm + par files] sorry ... probably a misunderstanding on my side. I thought he was asking for the algorithm of Fractint's Ljapunows. ;-) ...but together with the description one probably better understands, what's going on in the formula-file ... sorry again ;*) -- Michael LDKnet / LDK/LUG / Unix-AG *Weitzel* /LinuX --- email: michael(at)ldknet.org Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Gerald K. Dobiasovsky" Subject: Re: (fractint) Fractint Development: The Ljapunow Type Date: 03 Apr 2001 22:29:41 +0200 Michael Weitzel wrote: > sorry ... probably a misunderstanding on my side. I thought he was > asking for the algorithm of Fractint's Ljapunows. ;-) > > ...but together with the description one probably better understands, what's > going on in the formula-file ... sorry again ;*) No reasons to apologize... 1) Your explanation is a detailed and illuminating one. 2) Maybe I am wrong and he *was* asking for the algorithm?! Greetings, Gerald Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) Fractint Development: The Ljapunow Type Date: 03 Apr 2001 16:28:25 -0500 Michael Weitzel wrote: > > sorry ... probably a misunderstanding on my side. > I thought he was asking for the algorithm of > Fractint's Ljapunows. ;-) > I personally found your postings on the topic quite interesting, whether or not the original questions was for FRMs/PARs. It is always nice to have an understanding of the details. Thanks for sharing with all of us on the List. Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: (fractint) A Fractal Project Completed !! Date: 03 Apr 2001 16:55:14 -0500 Greetings, Philip Northover, the fractal artist known for his "Fractal Alhambra" website at: http://pnorthov.future.easyspace.com/ has recently completed a very lengthy project. Though Philip has five online galleries containing over a hundred images, he has also been working on his private project for approximately two years: "A Fractal Interpretation of the King James Version of the Bible" He kept to a classical fractal style throughout, employing the primary colours, which he fealt conveyed the biblical simplicity which often hints at great depths. Philip wanted an overall feeling of consistency, unity, order, and purpose to the work, while still reflecting the essence of each book within the Bible. I hope everyone has an opportunity to visit his web site to view what definitely has been a considerable personal project for Philip. Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Guy Marson Subject: Re: (fractint) Fractint Development: The Ljapunow Type Date: 04 Apr 2001 01:21:44 +0200 Hi, At 12:47 03/04/01 +0200, you wrote: >Am Montag, den 02. April 2001, um 00:11h schrieb Gerald K. Dobiasovsky: > >> > Does somebody know the Lyapunow-formula written for the Parser similar to >> > the build-in type, or a place (url or so) to find this formula? >[your frm + par files] > >sorry ... probably a misunderstanding on my side. I thought he was >asking for the algorithm of Fractint's Ljapunows. ;-) > It's ok, not being a math, now I understand the Lyapunow-type mutch better! Having both, the formula and more explanations Thanks to both of you! >...but together with the description one probably better understands, what's >going on in the formula-file ... sorry again ;*) nix zu entschuldigen, das ist voll in Ordnung so! >-- > Michael LDKnet / LDK/LUG / Unix-AG > *Weitzel* /LinuX --- email: michael(at)ldknet.org > cheers, Guy Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) C-FOTD 04-04-01 (A New Midget [6]) Date: 03 Apr 2001 22:49:09 EDT Classic FOTD -- April 04, 2001 (Rating 6) Fractal visionaries and enthusiasts: I named today's not quite overwhelming fractal "A New Midget". And it's true -- this particular midget has never before been seen by the eyes of man, nor by the eyes of woman, who sometimes can see more than man. Of course, we always suspected that the midget existed. We know that an infinity of midgets exist, of which exactly zero percent, or more precisely an infinitesimal percent, will ever be seen. That's one of the curious things about midgets -- an infinity of them exist -- and regardless of how many we discover, the number of undiscovered midgets is never reduced. Take for example the parent fractal of today's midget. The default appearance is a drab set of concentric circles, with a twisted midget near the right edge of the screen. A couple out-zooms will reveal that the entire fractal appears as a roughly diamond-shaped island in the middle of an infinite ocean. The default midget is seen to be a lake on an island. This midget has some unusual things happening in its East Valley area, and today's scene lies deep in this East Valley area. Undecided how to rate today's effort, I finally decided on a slightly above average 6, making the image worth the effort of downloading it from paul's web site at: Unfortunately, Scott's FOTD site will be down for a few days. The fractal weather today was unexpectedly sunny and warm. Until the middle of the afternoon, the weather experts were forecasting that chilly clouds and rain would prevail all day. This caused them to appear a little less than expert, though the fractal cats had no complaints as they enjoyed the temperature of 61F (16C). And after another busy and confusing day, I will now enjoy an hour or so of relaxation. I'll return tomorrow around this same time with another moderately glorious fractal and a few words about the image. Until then, take care, and wait with bated, but not abated, breath. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ A_New_Midget { ; time=0:25:51.10--SF5 on a P200 reset=2001 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.57276058003352300/+0.186020729751933\ 60/9.061857e+012/1.0002/-154.909/-0.094 params=-1/-1.5/100/5/-0.93/0 float=y maxiter=3000 inside=0 periodicity=10 colors=000td_sfbrheqjhplkonnnpqmrtjprhopenocmmallZ\ kjXjiUigShfQgdNfcLeaId`GcZEbYFcUGcRHcNHcKIdHJdDKdA\ Kd7LcAMbDNaGN`IO_LPZOQYRQYT_cbihlsmupipnfllchj`dgX\ _eUWcRSaOOZKJXHFVEBTB7R83TA5VC7XE8ZGA`ICbKDdMFfNGh\ PIjRKlTLnVNpXPrZQt`SuaTt_TtYTtWTtUTtSTsRTsPTsNTsLT\ sJTsIToDWk8Zh3akHdmLfpOirOkqQjqVjpVipVioUhoUhnUgnU\ gmTfmTflTelTeeXg__hUciOfjIjkCml6qm0tn3uk5uh8ufAucC\ uaFrZHoXJlUMiSOfQQcSS`UUYWWVYXS_VPaTMcRJeTJ`VKWXKR\ YKM_ONaSNcWOd_OfcPhgPikPZnUOqZEtcJjdOaeTSeYJfaAf`B\ g`Bg`Bg`Ch`Ch`Ch`Di_Di_Di_Ej_Ej_Ej_Fk_Fk_FkZJgYMcX\ P`XSXWVUVYQUaMUdJTgFSjCRm8Rp5Xf7aY9fOBkFDlEGmDInCL\ oBNpBQqASr9Vr8Xs7_t7au6dv5fw4ix3kx3ms8nnCnjHneLoaP\ oXUoTYpObpKfpFjqBoq6sq2wqAniIebQXWYOPeFIcLKbQMaVO`\ _QZeSYjUXoWWtYI`I5H35E37H68J99MCAOFBQICTLDVOEXRG_U\ HaXId_JfbKheLkhMmkNonPloQjpSgqTeqVcrW`sYZsZWt`UuaS\ ucPvdNweLwaMvrZPwYQv`UubX } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Spatzy2325@aol.com Subject: Re: (fractint) A Fractal Project Completed !! Date: 03 Apr 2001 23:42:13 EDT Good Evening, I am quite confused about the project... are these fractals represent the books of the Bible, or are the words themselves used in some way or form to create the fractals? Please respond as soon as possible, thanks, God Bless Ryan Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "David Jones" Subject: (fractint) [fractal-art] Some links to fractal sites Date: 03 Apr 2001 18:07:08 -1000 Found these at Netscape's Open Directory Project: http://dmoz.org/Science/Math/Chaos_and_Fractals/ http://www.3dfractals.com/tetrapics/imageframe.htm David gnome@hawaii.rr.com _______ ______ _____ ____ ___ __ _ post: send message to fractal-art@lists.fractalus.com unsub: send message to fractal-art-unsubscribe@lists.fractalus.com help: send message to fractal-art-help@lists.fractalus.com admin: send message to fractal-art-owner@lists.fractalus.com Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "David Jones" Subject: (fractint) Some links to fractal sites Date: 03 Apr 2001 18:07:08 -1000 Found these at Netscape's Open Directory Project: http://dmoz.org/Science/Math/Chaos_and_Fractals/ http://www.3dfractals.com/tetrapics/imageframe.htm David gnome@hawaii.rr.com Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Programmer Dude Subject: Re: (fractint) Fractint Development Date: 04 Apr 2001 10:58:32 -0500 No one has responded to this in a couple days, so I thought I'd take a shot at it... Andrew Coppin wrote: >> The memory limitations stem from two sources. One is that Fractint is >> compiled in the medium memory model. This means that memory usable for >> near data is limited to 64KB unless some form of swapping is done. > > So, you mean that FractInt can as such only use 64KB of memory? Sort of. FractInt was born as an MS-DOS program, and MS-DOS ran on Intel chips. Intel chips see memory as "segmented" rather than "flat" (as the Motorola chips (used in Apple machines) do). Flat memory looks like one huge "address space". For any memory location from 0000000 to umpteenzillion, the memory location just refers to the appropriate point, like milage along a road. In segmented memory, a memory location consists of two numbers: a segment and an offset. The segment is like a rolling window that jumps in, IIRC, 256-byte jumps: segment 0 starts at 0, segment 1 starts at 256, and so on. And a segment is a 64-k "window". The offset refers to any location within that 64-k window. The Intel chips ran programs in an architecture that had four segments: a "Code" segment, a "Data" segment, a "Stack" segment and an "Extra" segment sometimes used as a second, extended Data segment). Due to the nature of the C language (a primary development language of the day), the Stack and Data segments usually had to be identical. You ended up with a 64-K window with your data growing from the bottom upwards and your stack growing from the top downwards. The space in the middle was the "heap" and is where you got dynamically allocated memory from. The "Memory Model" is what various configurations of the segments is called. Remember the old .COM programs? By definition, they always use the "Tiny" memory model. All segments are identical, and your entire program--data and code--must fit in a single 64-K window. The "Medium" memory model, IIRC, has the stack and data sharing one 64-K segment, while the code lives in its own 64-K segment. This doesn't mean the program can't access data outside these segments. It can, but outside memory is "far" in the language of Intel memory models (opposed to the "near" memory in the data/stack segment). Because the data/stack segment is "framed" by the segment pointers of the Intel architecture, you only need 16 bits (64-K) to address it. But since "far" memory is 'somewhere in address space' you need a full address which was, at the time, 24 bits usually expressed as two 16-bit values with 8 bits of overlap. Added together, they form a 24-bit address. The bottom line is that, in your program, you have a mix of "near" data and "far" data, and they require different variable types to refer to. > What's involved in such a change? Is it just a case of going through the > program and changing half a million lines of code on a find-and-replace > basis, or does it require an actaul redesign of the code? I can't speak for the FractInt developers, and I'm not familiar with the code. I can guess it lies between those two ideas. It's not a simple matter of S&R; I'd guess you want to examine every place you need to change to see if the change breaks anything. But it probably does NOT require a complete redesign. Ideally you'd like a compiler that let you treat memory as flat and make all your pointers be the same type. I have no idea if such exists for the Intel platforms. But then *I* think what you *really* want is to get away from MS-DOS. > I'd really prefer FractInt to remain a DOS program, or perhaps to have > a DOS *and* a Windows version. (...and a Linux/UNIX version, like they > do with POV-Ray. Hey... isn't that a Stone Soup project too?) Don't *think* POV-Ray (great program, BTW) is Stone Soup. There's actually a great concept there. POV-Ray renders to a disk file normally. The Windows version just happens to have the extra treat of showing you the image as it's rendered. But the heart of POV-Ray is a command line tool for rendering 3D scenes into an image file of some type. >> The other problem is that we do indeed use extended and/or expanded >> memory for options other than just disk video. Saving the on screen >> image when switching to a menu comes to mind. > > If you had more memory to play with, could this be avoided? (I understand > that disk video can use insane quantities of RAM, but keeping a copy of > the video buffer for a normal screen shouldn't be too bad...) But what I imagine they have to save is the fractal image while the menu screens are displayed. That could be considerable. Anyway, hope this little data dump helped rather than confused... -- |_ CJSonnack _____________| How's my programming? | |_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL | |_____________________________________________|_______________________| Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Zorba the Hutt" Subject: Re: (fractint) Fractint Development Date: 04 Apr 2001 17:41:53 -0400 > > Ideally you'd like a compiler that let you treat memory as flat and make > all your pointers be the same type. I have no idea if such exists for > the Intel platforms. > > But then *I* think what you *really* want is to get away from MS-DOS. > Any 32-bit compiler does this - basically, anything that compiles native Win95 programs or higher. There *is* a way to use flat memory on MS-DOS, as I remember - the DOS4GW extension, that everyone who's played games in the late DOS era will recognize. It was basically a protected-mode flat memory manager, and you needed a 32-bit compiler to use it, and by golly, it was worth it. At least, I think that's what it did. Correct me if I'm wrong ^^;; -Zorba Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Multiple Bogeys" Subject: Re: (fractint) FOTD 03-04-01 (Many Happy Returns [5]) Date: 05 Apr 2001 01:24:33 -0400 ------=_NextPart_001_0000_01C0BD6F.2B90BFE0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable > Today, the FOTD returns after its 1-1/2 week hiatus, with the > first fractal I've calculated in that time. Of course, this is > the reason I have named it "Many Happy Returns. The average > rating of 5 reflects my opinion of my first fractal effort in > 11 days. ^ Error: Unterminated string constant. :-) > Unfortunately, I still lack the time for the long philosophical > discussions that have made the FOTD what it is :-/ but as > things gradually return to normal in the near future, the FOTD > discussions will become longer and more complex, until hopefully > we finally solve the mystery of the universe. :-\ Hate to tell you this, but it's already been done. http://www.hep.upenn.edu/~max/toe.html
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------=_NextPart_001_0000_01C0BD6F.2B90BFE0 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable
> Today, th= e FOTD returns after its 1-1/2 week hiatus, with the
> first fracta= l I've calculated in that time.  Of course, this is
> the reas= on I have named it "Many Happy Returns.  The average
> rating = of 5 reflects my opinion of my first fractal effort in
> 11 days.            = ;  ^
Error: Unterminated string constant. :-)
=
> Unfortunately, I still lack the time for the long philosophical<= BR>> discussions that have made the FOTD what it is  :-/  bu= t as
> things gradually return to normal in the near future, the FO= TD
> discussions will become longer and more complex, until hopeful= ly
> we finally solve the mystery of the universe.  :-\
Hate to tell you this, but it's already been done.
http://www.hep.upenn.edu= /~max/toe.html

 


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------=_NextPart_001_0000_01C0BD6F.2B90BFE0-- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Multiple Bogeys" Subject: Re: (fractint) Fractint Development Date: 05 Apr 2001 01:37:30 -0400 ------=_NextPart_001_0001_01C0BD70.FB2274A0 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable You can also use djgpp and cwsdpmi to get 32-bit flat memory programs for= MS-DOS. If you use Allegro as an API to mouse/low-level keyboard/graphic= s/etc. stuff, as an added bonus it is easily ported to Windows and Linux,= since Allegro has been ported to these and gcc (of which djgpp is a port= ) exists for Linux and has at least 2 Windows ports.
G= et Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com.

------=_NextPart_001_0001_01C0BD70.FB2274A0 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable
You can also u= se djgpp and cwsdpmi to get 32-bit flat memory programs for MS-DOS. If yo= u use Allegro as an API to mouse/low-level keyboard/graphics/etc. stuff, = as an added bonus it is easily ported to Windows and Linux, since Allegro= has been ported to these and gcc (of which djgpp is a port) exists for L= inux and has at least 2 Windows ports.


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------=_NextPart_001_0001_01C0BD70.FB2274A0-- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) Re: FOTD 03-04-01 (Many Happy Returns [5]) Date: 05 Apr 2001 07:25:18 EDT I wrote: >> .....the FOTD discussions will become >>longer and more complex, until hopefully we finally solve the >>mystery of the universe. :-\ Multiple Bogeys replied: >Hate to tell you this, but it's already been done. Aw shucks, I missed it! ;-( FOTD in one hour. Jim M. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) C-FOTD 05-04-01 (Specular Reflection [6]) Date: 05 Apr 2001 08:31:11 -0400 (EDT) Classic FOTD -- April 05, 2001 (Rating 6) Fractal visionaries and enthusiasts: Once again, due to unavoidable things that had to be done, the FOTD is late. This will continue to happen occasionally until things are totally back into the familiar routine here at the new Fractal Central auxiliary. Despite the rush, I managed to find a fractal midget worthy of a rating of 6. I named the picture "Specular Reflection" when I had the impression of a brilliant light reflecting from a metallic surface around the edges of the midget. The formula behind the image is another of my whimsical ones -- -(Z^(-1.25))+Z^(1.25)+(1/C). The 6-1/2 minute render time of the parameter file is just slow enough to make a download of the GIF image worth the effort. That image will soon be available on Paul's web site at: Scott once again has his site up and running. The GIF image will also soon be available there at: The fractal weather today was sunny and mild, with a temperature of 59F (15C), which the fractal cats found ideal. They spent nearly the entire afternoon sunning themselves in the yard and thinking of what trouble to get into. I lack the time today to reveal the one true mystery of the universe, but I must warn about all those false mysteries of the universe out there. Don't be deceived by these imitations, wait for the real thing to be revealed. ;-) Until the real thing is revealed, and even after the revelation, I'll continue with the 4-year-old FOTD, which has no end in sight. The next one will appear in about 15 hours. I'll see you then. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ SpecularReflection { ; time=0:06:30.52--SF5 on a P200 reset=2001 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.466396676467665/+1.55164254988776/1.\ 393514e+012/1/-50.009/0.012 params=-1/-1.25/1/1.25\ /0/0 float=y maxiter=1400 inside=0 logmap=125 periodicity=10 colors=000B8ZB7`C6cD5fE3iF3lG2oH1pE0oC2mB3jA5f87c7\ 8_6AW5BT9DUCHXHKYKN`RRaYYdddfiiinnnssswwwzzzzzzzzz\ tttlllddiYYhRRdKKcEE`98ZE3XK1WR5TY9QdDPlIMtNKzTIzY\ HzZGz`Ez`EzaDzaCzcCzcBzdAzdAzf9zf9zhAyiAtiAokAnlAk\ lAhnAdoBaoB`qBYsBWsBTtBQuBPuBToDWiEYcG`YHcTIfPJiJM\ lENoAPs6Qu2Ry0T1d03`17X39U5CQ7EM9IJBMGEPCHTAJW7MZ3\ Pa2RotPosNnqMnoKnoJlnIllH1oR0oR0oQ0oQ0oP0oP0oN0oN0\ oN0nM0nK0lK0lJ1lI2lI3kI3kH5iH6iG8iE9hEAhDBfDCfCEfB\ GdBHdAIcAKc9Mc8Na8Pa7Q`7T`6U`5WZ5XZ3YY3`Y3aY2cX2dX\ 10U60U50U51U52U53U53U55U56U57U38U38U39U3AU3BU3CU3D\ U3EU3GU3HU3IU3IU3JU3KU3MU3NU2PU2QU2RU2TU2UU2UU2WU2\ XU1YU1ZU1`U1aU1cU1dW1fX1j`NqZInYDhYUhZck`miawiczid\ sifnihihidhk`hlXhnThoPhqKfsHftDfuAfw7fy39z0Gz0Mz0T\ z0Zz0RzPTzNTzNTzMTzMUzKUzKUzJUzJWzIWzIWzHWzHXzHXzG\ XzGXzEYzEYzDYzDYzCZzCZzBZzBZzBZzA`zA`z9`z9`z8az8az\ 7az7az6cz6cz6cz5cz5dz3dz3 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) C-FOTD 06-04-01 (Rainy Evening [6]) Date: 05 Apr 2001 20:29:11 -0400 (EDT) Classic FOTD -- April 06, 2001 (Rating 6) Fractal visionaries and enthusiasts: Things were really hopping today here at Fractal Central II. My efficiency was at its maximum however, and I finished the day's jobs in near record time. This burst of efficiency gave me more time than expected to search the world of numbers for a fractal worthy of being christened FOTD for April 6. The world I chose to search is the one created by the whimsical formula 0.3(Z^2)-7.5(Z^(-0.1))+(1/C). I was not disappointed with what I found there. Today's fractal is named "Rainy Evening", a name that was inspired by the cusps surrounding the midget, which remind me of the pattern seen around street lights when viewed in the evening through water droplets on one's eyeglasses. After some indecision, I rated the picture, which is just slightly above average, at a 6. A year or two ago I might have rated it a 7 or 8, but my opinion of what constitutes an 'average' FOTD image seems to be growing ever more strict, and if the present trend continues, I'll have a hard time producing even an average FOTD. The parent fractal of today's image is a grossly mis-shapen Mandeloid, so twisted and torn that it is barely recognizable. At the southwest corner of the figure lies a Mandel-bud with a filament that extends in a disjointed manner into the Seahorse Valley area of a satellite midget. Since filaments usually join midgets in the East Valley area, this unusual junction appeared a likely place to start the day's search. The result speaks for itself, figuratively speaking of course. The result of all this effort may be seen by running the attached parameter file and waiting 5 minutes, or by giving Paul and Scott a chance to post the GIF file of the image to their web sites, and downloading it from there. The URL of Paul's web site is: And Scott's is: The weather today turned out to be the finest of the young Spring season, with bright sun, light winds, and a temperature of 64F (18C), which kept the fractal cats outdoors for several happy hours. The fine weather also stirred my philosophical muse, once again raising unanswerable questions about the nature of reality. Every time I discuss this tired, worn-out, but ever-fascinating topic I seem to get into trouble. So stay in touch. I might be in more trouble in a few days' time. But for now it's time to shutter down the fractal shoppe and call it an evening. . . . OK, so it's an evening! Until next time, take care, and the more one wonders about what's real, the less one knows for sure. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Rainy_Evening { ; time=0:05:15.04--SF5 on a P200 reset=2001 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.12191239695861750/-0.037765464265300\ 23/3.704671e+008/1/30 params=1/2/-25/-0.1/-0.7/0 float=y maxiter=1200 inside=0 logmap=91 periodicity=10 colors=000000G1AJ1JQ1SV3a`3je3ql3zxIpzXdvYllYr`_xQ\ _zF`z4`z6Vz7Pz9JxADrA9mDAoFApICrJCsMDuODvQFxSFyQDv\ QCsQApPAoP9lP7iO6fO6dO4aM3_M1XM1VL9YLF_LL`LScLYdJc\ fJjiJpjJvlJzm0Tz0Pz3Mz9IzGFzOAxT7v`4sg0pm0ou0lz0iz\ 0g0zT0zI9z77v66s66o64l44g43d41a31Y30V30Q10O10L10L0\ 0J00J0P66P9CQCGQFMQIQSLXSO`SQdTTjTXoT_uVayVdzVgzVj\ z_lzamzdmvgopjpjmpdpr_ssTvsOyuIzvCzv6zx0zy0zy0zz0x\ z0pz4iz9`zFTzJMzOFzS7zX6z`4yd4si3lm1fr1_v0Tz0Mz0Gz\ FYpVmYizFfzGczG`zGYzGVzGSzGPzIMzIJzIGzIDzICzIFzGIv\ GLsGOoGQlGTgGXdG_`GaYGdTGgQGjMGmJGpFGrCGoAJm9Mj7Pi\ 6Sf4Td3Xa1_`0aY0dX0fV1cT4aS7`SA_QDYPGVOJTOLSMOQLQP\ JTMJXLI_JGaIFdGFfF4pP0z_0zi0zg0zf4zdAzcFzcLzaQz`Xz\ _azYfzYczX`zXYzXVzXSzXPzVMzVJzVGzVDzVAzVDzSGzQJzOM\ zMPzJSzIVzFYzD`zCcz9fz7iz4lz3oz0rz0uz0czXfzOizGlz7\ oz0lz0jz0iz0gz0fz0dz0cz0az0`z0_z0Yz0Xz0zz0yz0vz0sz\ 0pz0mz0iz0dz0az0Yz0GzADz4 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Multiple Bogeys" Subject: (fractint) Oh no! Something is *very* wrong with the FOTD! Date: 05 Apr 2001 22:43:55 -0400 ------=_NextPart_001_0001_01C0BE21.E5AD1E20 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable ...the last four have all been grossly underrated. ;-) Keep up the good w= ork!
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------=_NextPart_001_0001_01C0BE21.E5AD1E20 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable
...the last fo= ur have all been grossly underrated. ;-) Keep up the good work!


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------=_NextPart_001_0001_01C0BE21.E5AD1E20-- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Lee Skinner Subject: (fractint) C-FOTD 06-04-01 (Rainy Evening [6]) Date: 06 Apr 2001 10:07:07 -0500 Jim Muth wrote: >> At the southwest corner of the figure lies a Mandel-bud with a filamen= t that extends in a disjointed manner into the Seahorse Valley area of a satellite midget. Since filaments usually join midgets in the East Valle= y area, this unusual junction ... << Very unusual indeed!!! I don't think I've ever seen such a junction! Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) C-FOTD 07-04-01 {Fractal Dimples [6]) Date: 06 Apr 2001 22:49:09 EDT Classic FOTD -- April 07, 2001 (Rating 6) Fractal visionaries and enthusiasts: Another unexpectedly busy day kept the fractals at bay, but I still managed to scrounge up today's slightly striking image. I first found it, then went off to do other things while the image rendered. When I returned and saw the screen, I thought of dimples. The name "Fractal Dimples" came naturally. The image is yet another 6-rated one found in haste. Unfortunately, the haste vanishes when the parameter file starts running, since this one takes over 1-1/2 hours to render. The formula that drew the image, 0.5(Z^2)+Z^(-2)+(1/C), is once again one that I pecked out at random. Since the parameter file is quite slow, my advice is to give Paul and Scott an hour or so to render and post the GIF image to their Web sites, and download it from there. The URL of Paul's site is: Scott's site is at: The fractal weather today was mostly cloudy with light rain and a temperature of 55F (13C). The cats disapproved vigorously by staying indoors and sulking most of the afternoon. There was no time for philosophy today. Perhaps it will appear tomorrow. But even if the philosophy is absent, a new and unique fractal will appear in the next FOTD. Until then, take care, and wait until you see that fractal! Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Fractal_Dimples { ; time=1:33:02.89--SF5 on a P200 reset=2001 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-13.91207242091377000/+18.4986369015475\ 7000/11315.38/1/165 params=0.5/2/1/-2/0/0 float=y maxiter=25000 inside=0 logmap=420 periodicity=0 colors=000e8me7me7mf7nf7nf6nf6of6of6og4nf5of6of7of\ 8of9ofAofBofCoeDpeEpeFpeGpeHpeIpeJpeKpdLqdMqdNqdOq\ dPqdQqdRqdSqcTrcUrcVrcWrcXrcYrcZrc_rb`sbasbbsbcsbd\ sbesbfsbgsahtaitajtaktaltamtantaou`pv`qv`rv`sv`tw`\ uw`vw`wxayy`xz`wz`wz_vz_uy_uxZtwZsuZssYrqYqoYqlXpk\ XpjXoiWniWnhWmgVlfVleVkdUjcUjcUibThaTh`Tg_TgZSfYSe\ XSeXRdWRcVRcUQbTQaSQaRP`RP_QP_POZOOZNOYMNXLNXKNWKM\ VJMVIMUHLTGLTFLSELSEKUFJVFIXFHYFGZFF`FFaFEbFDdFCeF\ BfGAhG9iG9jG8lG7mG6nG5pG4qG3sF4rG5qG6pG7oG7nG8mG9l\ GAkGAjGBiGChGDgGDfGEeGFdGGcGHbGHaGI`GJ_GKZGKYGLXGM\ WGNUGNSGQQGSOGUNGUMGULGUKJUHIUDIU6IU3HU3HU3HU3HU3G\ U3GU3GU3GU3FU3FU3FU3FU3EU3EU3EU3EV3DW3DX3DY3DZ3C_3\ C`3Ca3Cb3Bc3Bd3Be3Bf3Ag3Ah3Ai3Aj59k59l59m37n48o59p\ 5Aq6Br5Cs5Ct6Du6Ev7Fw8Gx8Hy9HzDIzEJzFKzFLzGMzGMzHN\ zIOzJPzKQzKRzLRzMSzMTzNUzNVzOWzPWzPXzQYzQZzR_zT`zV\ azXbzZcz`ezbfzdgzfhzhizjj } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: jerome schatten Subject: Re: (fractint) C-FOTD 07-04-01 {Fractal Dimples [6]) Date: 07 Apr 2001 23:20:01 -0700 JimMuth@aol.com wrote: [...] . When I returned and saw the screen, I thought > of dimples. The name "Fractal Dimples" came naturally. > A beauty... but perhaps "Fractal Pimples" ? jerome Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) C-FOTD 08-04-01 (A Midget Eruption [6]) Date: 08 Apr 2001 07:55:48 EDT Classic FOTD -- April 08, 2001 (Rating 6) Fractal visionaries and enthusiasts: Yes, yes, I realize that the FOTD is once again late. It's late because I spent most of my spare time today organizing the new Fractal Central auxiliary HQ, leaving me little time for fun with fractals. But by entering values at random and searching aimlessly, I managed to find a fractal worthy of being declared today's FOTD. I named the fractal image "A Midget Eruption". The reason is most likely that I was impressed by the eruption of unusual features in the elements surrounding the ever-present midget at the center. The overall pattern resembles the typical Julia pattern that characterizes midgets found in the East Valley area of larger midgets, but today's midget has far more intricate detail than most. I have rated the picture a 6, the fourth or fifth 6 rating in a row. It's really quite an interesting scene. Maybe if I had more time to appreciate it, I would have rated it higher. The parameter file renders in under 9 minutes, slow enough to make a download of the GIF image worth the effort. That image will be available in an hour or so at: and at: The fractal weather today was unpleasant -- cloudy and chilly, with just enough light rain to keep the fractal cats confined to the indoors. Afternoon temperatures in the 50's F (lower teens Celsius) did not help. And now it's late, or more accurately, early, and I've got a lot of organizing to do. So until the next FOTD, take care, and all rushes eventually come to an end. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ A_Midget_Eruption { ; time=0:08:46.12--SF5 on a P200 reset=2001 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.127297927751329/-0.054242224379125/1\ .173881e+007/1/167.499 params=1/1.9/-25/-0.1/-0.7/0 float=y maxiter=1500 inside=0 logmap=156 periodicity=10 colors=000VM_XL_ZN`aQ`cU`eY`h``jcalfaojaqnasramiYh\ aVcUSYLOTDLO5INFOMPTLPZLPWJPTHSIGQJGOKGMLFLMFJNFHO\ EGPEEQECRDBSD9TD7UC6VC4WC2XC1YH3VL5SP6PT8MXAJ`BGdD\ DhFAlG7pI4tJ1qU3nc4lm5`oJPpWDri1sv1mq1gm1bi1Xe1SaG\ NTUIKhDBv82105EAEQJMbSVn`bzijsVfmHbg3Ze9ZdFZbKZaQZ\ _VZZ`ZXeZWkZVpZYiX_cVaYUcRSeLQgFPeGOdHNcIMbJLaKK`L\ J_MIZNHYOGXPFWQEVRDUSCTTCRUIQUNPUSNUYMUbLUgJUmIUrH\ UwMSsRRpVQm_PidOfhNcPbBScCUcDXdDZdE`eFceFefGgfGjfH\ lgIogIqhJshKviKxiLziLxyTtvUqsUnpVknVhkWehWbeX_cXW`\ YTYYQVZNTZKQ_HN_EK`BI`AH_9HZ8HZ8HY7HY6HX5HW5HW4HV3\ HV2HU2HU5GS8GQBGPEGNHGLKFKNFIQFHTFFWFDZECaEAdE8gE7\ jE5mE4jF6gG8eG9bHB`ICYIEWJFTKHRKIQMJQOJPPJPRJOTKOU\ KOWKNYKNZLM`LMbLMcLJZNHVPFQRDMTBIVAOZ9Ta9YdBZbC_aD\ ``E`_FaZGbYHbXKcYMcZOcZRd_Td_Vd`Yea_eaaebdfbfgchhd\ kidmjeokeplaqmZrmWsmStmPumMvmIwmFwmCwm8wm5wm2wm6wm\ AwmEwmIwmMwmPwmTwmXwm`wmd } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) C-FOTD 09-04-01 (Mandelbrot Mayhem [5]) Date: 09 Apr 2001 00:42:15 -0400 (EDT) Classic FOTD -- April 09, 2001 (Rating 5) Fractal visionaries and enthusiasts: With today's 5-rated fractal image we break away from the string of FOTD's that have been rated a 6. Unfortunately, the break is in the less desirable direction, but then one can't have everything. We also break away from the world of the MandelbrotMix4 formula into the world of the MandelbrotBC formula to explore the more remote parts of the fractal created by the very simple formula, Z^(sqrt2)+C. The scene I found is one of the most disorderly of all time, with bits and pieces of fractal stuff scattered around the midget in total disarray, showing no signs at all of an orderly arrangement. The unusually chaotic image is well worth the name I gave it -- "Mandelbrot Mayhem". At just under 13 minutes, the parameter file tries one's patience. Relief for the impatient is available on the Web at: and at: where the GIF file of the image will soon be posted. The fractal weather today started cloudy and chilly, but turned sunny and milder at midday. The bright sun and afternoon temperature of 63F (17C) then lured the fractal cats into the yard, where they sampled the new grass. It's now time to shut down the shoppe and call it a night. Until tomorrow around this same time, take care, and one of these days someone will find the ultimate fractal -- but will they recognize it?. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Mandelbrot_Mayhem { ; time=0:12:54.45--SF5 on a P200 reset=2001 type=formula formulafile=critical.frm formulaname=MandelbrotBC passes=1 center-mag=+0.45672737879421720/+0.492387056367433\ 40/1550.388/1/92.5 params=1.414213562373/0/11/0 float=y maxiter=6000 inside=0 logmap=128 symmetry=none periodicity=10 colors=000W`eYei`jmbnqidizMauMUpNQlNMgOJcOF_OCZNDY\ MDXLDWKDWJDVIDUHETGETFESEERDEQCEQBERAIR9LS9OS8RS8U\ T7XT7_T6bU6eU5hU5kS9lRCmPFnOIoMMpLPpJSqIVrGZsFatDd\ uCguQaacXJpS0mQ3jP6gO9dNBaMEZLHXKJUJMRIPOHRLGUIFXG\ EZKG`NIbQJdULfXNh_OjbQlfSniTplVroWtnXomXklYgkYcjY_\ iZWiZShZOg_Kf_Ge_Cd`8c`4c`0fbAhdKjfTfKsiNlkQfnS_pV\ UrYNu_HwbAyd4w_5uV5sR5qM5oI5mK9kLDiMHgNKbLIZKGVJEQ\ ICMGAIF8DE69D45C26D56E86EA7FD7GF7GI7HK8IN8IP8JS8JU\ 9KV9KVALVALVAMVBMWBNWCNWCOWCOWHTZLY`PbbTfdRegPdjNc\ mLcpJbsHavFaxHgoJmfKsYGj_Db`AVd7Mg4Ei16k28l2Am2Cn2\ Eo2Gp2Iq2Kr2Ms2Ot2Qu3Sv4Uw5Ww5Yw6_w7aw8cw8ew9gwAiw\ BkwBmwCovDpuDqtErsErrFpqFnoFmoGknGjoGipHiqHirHirIi\ qIiqIiqIiqIiqIiqIiqNjqIiqIiqJiqJiqJiqJiqJiqJipJipJ\ ipJipKipKipKipKipKipKipKipKipKipKipLjoLjoLjoLjoLjo\ LjoLjoLjoLjoMjoMjoMjoMjoMjoMjnMjnMjnMjnNjnNjnNjnNj\ nNjnNjnNjnNjnNjnCilDjmDjm } frm:MandelbrotBC = { ; Z = Z^E + C e=p1 p=real(p2)+PI q=2*PI*trunc(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|<100 } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Programmer Dude Subject: Re: (fractint) C-FOTD 09-04-01 (Mandelbrot Mayhem [5]) Date: 09 Apr 2001 10:38:14 -0500 Jim Muth wrote: > ...and one of these days someone will find the ultimate fractal -- but > will they recognize it?. Why should there *be* an ultimate fractal? Seems kind of limiting... -- |_ CJSonnack _____________| How's my programming? | |_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL | |_____________________________________________|_______________________| Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) C-FOTD 10-04-01 (A Naming Problem [4]) Date: 10 Apr 2001 07:58:03 EDT Classic FOTD -- April 10, 2001 (Rating 4) Fractal visionaries and enthusiasts: Another very busy day at Fractal Central left insufficient time for a proper fractal search, so I turned to a strange image I found a week or so ago. Being only a backup, the image comes down another notch on my scale of fractal worth, rating only a 4 on the scale. I named the picture "A Naming Problem" because of the complexity of the Mandeloid that fills the frame. It's hard enough to identify the various features of the classic Mandelbrot set by colloquial names. Imagine the problem if such a naming system were applied to the many parts of the Mandel- thing in today's image. To make matters even more difficult, the image has a strange kind of symmetry. The Y-axis symmetry of the Mandel-shaped feature is obvious, but there are bits of foreground debris scattered throughout the picture, which have no symmetry whatsoever. I suspect that this unusual symmetrical- unsymmetrical character is caused by the two different exponents of the formula, one of which is positive, the other negative. But I'm not positive. Regardless, the parameter file renders in about 9 minutes, and the GIF file of the image will soon be available on the Web at: and at: The fractal weather today here at Fractal Central started with a light thunder-shower, turned unusually sunny and warm, then ended with a heavy thunder-storm. The fractal cats approved of the 90F (32C) temperature by basking all afternoon in the shade of the holly trees, but they disapproved of the noise of the evening storm. As for me -- I worked all day. And tomorrow will likely be just as busy, but I'll still manage to find at least one fractal. Until then, take care, and see you in 16 hours. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ A_Naming_Problem { ; time=0:08:53.78--SF5 on a P200 reset=2001 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=0.0881747/0.0124835/0.4235847/1/-90 params=-0.075/2/10/-2.25/-0.88/1000000000 float=y maxiter=3000 inside=0 logmap=7 periodicity=10 colors=000fQLeQLeQLeQMePMePMePMePMdPMdONdONdONdONd\ ONdNOcNOcNOcNOcMOcMOcMPcMPbMPbLPbLPbLPbLQbLQbKQaKQ\ aKQaKRaKRaJRaJRaJR`JR`IS`IS`IS`IS`IS`HT_HT_HT_HT_H\ T_GT_GU_GUZGUZGUZFUZFUZFVZFVZEVYEVYEVYEWYEWYDWYDWY\ DWXDWXDXXCXXCXXCXXCXWBWXCXXCXXCXXCXXDXXDXXDXXDXXDX\ XEXXEXXEXXEXXFYXFYXFYXFYXFYXGYXGYXGYXGYYGYYHYYHYYH\ YYHZYIZYIZYIZYIZYIZYJZYJZYJZYJZYJZYKZYKZYK_YK_YL_Y\ L_YL_ZL_ZL_ZM_ZM_ZM_ZM_ZN_ZN_ZN_ZN`ZN`ZO`ZO`ZO`ZO`\ ZO`ZP`ZP`ZP`ZP`ZQ`ZQ`_Qa_Qa_Qa_Ra_Ra_Ra_Ra_Ra_Sa_S\ a_Sa_Sa_Ta_Tb_Tb_Tb_Tb_Ub_Ub_Ub_Ub_Vb`Vb`Vb`Vb`Vb`\ Wc`Wc`Wc`Wc`Wc`Xc`Xc`Xc`Xc`Yc`Yc`Yc`Yc`Yc`Zd`Zd`Zd\ `ZdaZda_da_da_da_da`da`da`da`da`eaaeaaeaaeaaeabeab\ eabeabeabeaceaceacebcfbcfbdfbdfbdfbdfbefbefbefbefb\ efbffbffbfgbfgbfgbggbggbggbggbhgbhgchgchgchgcigcig\ cihcihcjhcjhcjhcjhcjhckhckhckhckhckhclhclicliclicm\ idmidmidmidmidnidnidnidni } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Guy Marson Subject: (fractint) a little tease Date: 11 Apr 2001 10:41:45 +0200 Hi Fractinters, 1) run this .par with its original values.. 2) reload the 'first1.gif' and set REAL(P4) to 35 .. (Z-screen) 3) set REAL(P5) to 0.1'500'000'002 (zero point 1500000002 :-) 4) now reload the 'second1.gif' and set REAL(P4) to 30 .. (Z-screen) 5) set REAL(P5) to 0.1500000001 .. If you wanna experiment with the text, set IMAG(P4) to e.g. 0.14 Thanks to Sylvie Gallet, Jim Muth and Jan Marten van der Walk for their fantastic pattern! ************************* par and frm's: ************************* first1 { ; Version 2001 Patchlevel 6 reset=2001 type=formula formulafile=lakerise.frm formulaname=lakerise function=recip/ident passes=1 center-mag=+19.06420449201231000/+0.00105725129748224/6.787838e+007/0.93\ 15/90 savename=first1 params=95158716/1/0.015/0.51/2.55e-009/-1.25e-008/85/0.15/0.15/1 float=y maxiter=6000 inside=0 logmap=46 periodicity=0 colors=00082A<3>819818818907<3>H46J46L55<2>T85V94YB4_C3bD3<3>lI2nJ1pK1rM\ 0<6>v`4vb5wd5wf6xi6<2>xm8xn9yn9<3>yrCysDytEyuE<17>zwczwdzwfzwh<3>zwmzvoz\ vpzvrzvszuu<104>P77P77P77<6>M33M33M22<3>K000CP<3>0BO0BO0BO<4>0AL0AL0AK<3\ >0AK0AK0AK<12>46G46G46F56F55F55F<3>64D64D74D<3>73D73C73C73B73A73A72A } second1 { ; Version 2001 Patchlevel 6 reset=2001 type=formula formulafile=e-viva-c.frm formulaname=e-viva-c function=recip/ident passes=1 savename=second1 center-mag=+19.06442878086688000/+0.00068889924650949/6.303265e+007/1/47\ .499 params=95180095/1/0.1/0.4/-2.56e-008/3.32e-008/90/0.15/0.15/1 float=y maxiter=6000 inside=0 logmap=55 periodicity=0 colors=00082A<3>819818818907<3>H36J46L55<5>_C3bD3eE3<3>nJ1pK1rM0<6>v`4vb\ 5wd5wf6xi6<2>xm8xn9yn9<3>yrCysDytEyuE<17>zwczwdzwfzwh<3>zwmzvozvpzvrzvsz\ uu<96>SAASAAR99<5>P77P77P77<4>N44N44M33<3>L11L11K000CP<3>0BO0BO0BO<4>0AL\ 0AL0AK<3>0AK0AK0AK<12>46G46G46F56F55F55F<3>64D64D74D<6>73C72B72B82A } frm:lakerise { ; lake-transformation = Sylvie Gallet, Jan 16, 2000 ; requires: float=on, Fractint 20.0.6, periodicity=0' and 'passes=1' ; real part of p1: diameter of text bailout ; imag part of p1: position of text bailout (x and y) ; real part of p2: merging of text (position) ; imag part of p2: merging of text (position) ; real part of p3: x-position of text bailout versus background ; imag part of p3: y-position of text bailout versus background ; real part of p4: 0 = lake transform disabled ; any value between 0 and 100: water level in % of ; the screen height (0 = bottom, 100 = top) ; Try fn1=recip, fn2=ident: If (A=B*C) then text=invisible, else=visible! ; imag part of p4: A (position of text & picture bailout) ; real part of p5: B (position of text bailout) ; imag part of p5: C (position of picture bailout) ; to position text into the picture, try e.g.: A=0.18, B=0.18005, C=1 ; finaly set B to the best value found by 'try and error' pp_p3 = (0.2,300) ; 0.2=amplitude and 300=frequency of the lake ; Lake transformation ; ------------------- if (real(p4) > 0 && real(p4) <= 100) level = real(p4) / 100 ; water level ampl = real(pp_p3) ; amplitude of the wave freq = imag(pp_p3) ; frequency angle = real(rotskew * pi / 180) exp_irot = exp(-flip(angle)) h = 1 / real(magxmag) w = h / 0.75 * imag(magxmag) tanskew = tan(imag(rotskew * pi / 180)) u = 2 * w * exp_irot v = 2 * h * (tanskew + flip(1)) * exp_irot z3rd = center + (-w-h*tanskew - flip(h)) * exp_irot z = pixel - z3rd b = imag(conj(u)*z) / imag(conj(u)*v) if (b <= level) dy = level - b z = z + 2*dy * (1+ampl*sin(freq*dy^0.2)) * v endif pixel = z + z3rd endif z=(sinh(sinh(sinh(pixel-p3)-real(p1))-p2))/imag(p1) x=real(z), y=imag(z) ;Text = generated with FRACTEXT.EXE from J.M.v.d. WALK chrI1 = x>-0.51186&&x<-0.49236 chrS2 = abs(cabs(z+(0.43498,-0.70762))-0.03262)<0.00975&&(x<=-0.434\ 98||y>0.70762)||(abs(cabs(z+(0.43498,-0.64238))-0.03262)<0.00975&&(\ x>-0.43498||y<0.64238)) chrF4 = x<-0.28311||(y<0.68475&&y>0.66525)||y>0.7305&&x>-0.30261&&x\ <-0.22311 xCR=2*x chrR5 = y<0.68475&&y>0.66525||y>0.7305||x<-0.18861&&x>-0.20811&&x<-\ 0.15861||(abs(cabs(z+(0.15861,-0.70762))-0.03262)<0.00975&&x>=-0.15\ 861)||(y<0.675&&y<-xCR+0.36753&&y>-xCR+0.32393) xCA=3*x chrA6 = y>xCA+0.84203||y>-xCA+0.5963||(y<0.66&&y>0.6405)&&yxCC+0.56568||y<-xCC+0.78432) chrT8 = y>0.7305&&x>0.17736&&x<0.27186||(x>0.21486&&x<0.23436) chrI9 = x>0.28686&&x<0.30636 xCN=2.5*x chrN10 = x>0.32136&&x<0.34086||(x>0.38136&&x<0.40236)||(y>-xCN+1.55\ 339&&y<-xCN+1.60589) chrT11 = y>0.7305&&x>0.41736&&x<0.51186||(x>0.45486&&x<0.47436) test1 = chrI1||chrS2||chrF4||chrR5||chrA6||chrC7||chrT8||chrI9||chr\ N10||chrT11&&y>0.6&&y<0.75 chrS12 = abs(cabs(z+(0.64457,-0.4936))-0.0286)<0.0078&&(x<=-0.64457\ ||y>0.4936)||(abs(cabs(z+(0.64457,-0.4364))-0.0286)<0.0078&&(x>-0.6\ 4457||y<0.4364)) chrI13 = x>-0.59517&&x<-0.57957 chrN14 = x>-0.56657&&x<-0.55097||(x>-0.51457&&x<-0.49776)||(y>-xCN-\ 0.88641&&y<-xCN-0.84441) xCK=1.5*x chrK15 = x<-0.46916||(yxCK+1.14236)||(y>-xCK-0.2404\ 8&&y<-xCK-0.21236&&y-0.48476 chrI16 = x>-0.39524&&x<-0.37964 chrN17 = x>-0.36664&&x<-0.35104||(x>-0.31464&&x<-0.29784)||(y>-xCN-\ 0.38659&&y<-xCN-0.34459) chrG18 = abs(cabs(z+(0.21984,-0.465))-0.0572)<0.0078&&(x<-0.21984||\ y<0.4728||y>0.4806)||(x>-0.21984&&x<=-0.17044&&y<0.4728&&y>0.4572) chrO20 = abs(cabs(z+(0.01184,-0.465))-0.0572)<0.0078 chrR21 = y<0.4728&&y>0.4572||y>0.5144||x<0.08176&&x>0.06616&&x<0.10\ 776||(abs(cabs(z+(-0.10776,-0.4936))-0.0286)<0.0078&&x>=0.10776)||(\ y<0.465&&y<-xCR+0.68833&&y>-xCR+0.65345) chrR23 = y<0.4728&&y>0.4572||y>0.5144||x<0.23776&&x>0.22216&&x<0.26\ 376||(abs(cabs(z+(-0.26376,-0.4936))-0.0286)<0.0078&&x>=0.26376)||(\ y<0.465&&y<-xCR+1.00033&&y>-xCR+0.96545) chrI24 = x>0.31316&&x<0.32876 chrS25 = abs(cabs(z+(-0.37816,-0.4936))-0.0286)<0.0078&&(x<=0.37816\ ||y>0.4936)||(abs(cabs(z+(-0.37816,-0.4364))-0.0286)<0.0078&&(x>0.3\ 7816||y<0.4364)) chrI26 = x>0.42756&&x<0.44316 chrN27 = x>0.45616&&x<0.47176||(x>0.50816&&x<0.52497)||(y>-xCN+1.67\ 041&&y<-xCN+1.71241) chrG28 = abs(cabs(z+(-0.60297,-0.465))-0.0572)<0.0078&&(x<0.60297||\ y<0.4728||y>0.4806)||(x>0.60297&&x<=0.65237&&y<0.4728&&y>0.4572) test2 = chrS12||chrI13||chrN14||chrK15||chrI16||chrN17||chrG18||chr\ O20||chrR21||chrR23||chrI24||chrS25||chrI26||chrN27||chrG28&&y>0.4&\ &y<0.53 test=test1||test2 test0=test0&&whitesq test0=((test0||test)==0) f1=fn1(imag(p5))*fn2(imag(p4))*pixel f2=real(p5)*pixel pixel=(test==0)*f1+test*f2 p_p1=(1,-9999), p_p2=(1.3,2), p_p3=(-0.5,0) ; Import of formula 'mmix3' from file MMIX4-3.FRM from Jim Muth ;p_p1=(1,-9999), p_p2=(1.3,2), p_p3=(-0.5,0) a=real(p_p1), b=imag(p_p1), d=real(p_p2), f=imag(p_p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p_p3)+1, l=imag(p_p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } ;****************************************************************** frm:e-viva-c { ; lake-transformation = Sylvie Gallet, Jan 16, 2000 ; requires: float=on, Fractint 20.0.6, periodicity=0' and 'passes=1' ; real part of p1: diameter of text bailout ; imag part of p1: position of text bailout (x and y) ; real part of p2: merging of text (position) ; imag part of p2: merging of text (position) ; real part of p3: x-position of text bailout versus background ; imag part of p3: y-position of text bailout versus background ; real part of p4: 0 = lake transform disabled ; any value between 0 and 100: water level in % of ; the screen height (0 = bottom, 100 = top) ; Try fn1=recip, fn2=ident: If (A=B*C) then text=invisible, else=visible! ; imag part of p4: A (position of text & picture bailout) ; real part of p5: B (position of text bailout) ; imag part of p5: C (position of picture bailout) ; to position text into the picture, try e.g.: A=0.18, B=0.18005, C=1 ; finaly set B to the best value found by 'try and error' pp_p3 = (0.2,300) ; 0.2=amplitude and 300=frequency of the lake ; Lake transformation ; ------------------- if (real(p4) > 0 && real(p4) <= 100) level = real(p4) / 100 ; water level ampl = real(pp_p3) ; amplitude of the wave freq = imag(pp_p3) ; frequency angle = real(rotskew * pi / 180) exp_irot = exp(-flip(angle)) h = 1 / real(magxmag) w = h / 0.75 * imag(magxmag) tanskew = tan(imag(rotskew * pi / 180)) u = 2 * w * exp_irot v = 2 * h * (tanskew + flip(1)) * exp_irot z3rd = center + (-w-h*tanskew - flip(h)) * exp_irot z = pixel - z3rd b = imag(conj(u)*z) / imag(conj(u)*v) if (b <= level) dy = level - b z = z + 2*dy * (1+ampl*sin(freq*dy^0.2)) * v endif pixel = z + z3rd endif z=(sinh(sinh(sinh(pixel-p3)-real(p1))-p2))/imag(p1) x=real(z), y=imag(z) ;Text = generated with FRACTEXT.EXE from J.M.v.d. WALK chrE1 = x<-0.54802||y<0.6195||(y<0.68475&&y>0.66525)||y>0.7305&&x>-\ 0.56752&&x<-0.48802 xCV=3.5*x chrV3 = y>-xCV-0.64308&&y<-xCV-0.5721||yxCV+1.7721 chrI4 = x>-0.27703&&x<-0.25753 chrV5 = y>-xCV-0.09885&&y<-xCV-0.02787||yxCV+1.2278\ 7 xCA=3*x chrA6 = y>xCA+0.90293||y>-xCA+0.5354||(y<0.66&&y>0.6405)&&y0.66525)||y>0.7305&&x>0.08902&&x<0\ .16852 chrO9 = abs(cabs(z+(-0.25852,-0.675))-0.06525)<0.00975 chrT10 = y>0.7305&&x>0.34852&&x<0.44302||(x>0.38602&&x<0.40552) chrD11 = x<0.47752||y<0.6195||y>0.7305&&x>0.45802&&x<0.49252||(abs(\ cabs(z+(-0.49252,-0.675))-0.06525)<0.00975&&x>=0.49252) test1 = chrE1||chrV3||chrI4||chrV5||chrA6||chrF8||chrO9||chrT10||ch\ rD11&&y>0.6&&y<0.75 chrE12 = x<-0.6137||y<0.4156||(y<0.4728&&y>0.4572)||y>0.5144&&x>-0.\ 6293&&x<-0.5617 chrV14 = y>-xCV-1.16296&&y<-xCV-1.10617||yxCV+1.906\ 17 chrI15 = x>-0.38019&&x<-0.36459 chrV16 = y>-xCV-0.70057&&y<-xCV-0.64379||yxCV+1.443\ 79 chrA17 = y>xCA+1.09492||y>-xCA-0.08425||(y<0.452&&y>0.4364)&&y0.4572)||y>0.5144&&x>-0.06697&&x<\ 0.00063 xCR=2*x chrR20 = y<0.4728&&y>0.4572||y>0.5144||x<0.02923&&x>0.01363&&x<0.05\ 523||(abs(cabs(z+(-0.05523,-0.4936))-0.0286)<0.0078&&x>=0.05523)||(\ y<0.465&&y<-xCR+0.58326&&y>-xCR+0.54837) chrA21 = y>xCA+0.03678||y>-xCA+0.97388||(y<0.452&&y>0.4364)&&yxCC+0.17926||y<-xCC+0.75074) chrT23 = y>0.5144&&x>0.3447&&x<0.4253||(x>0.3772&&x<0.3928) chrI24 = x>0.4383&&x<0.4539 xCN=2.5*x chrN25 = x>0.4669&&x<0.4825||(x>0.5189&&x<0.5357)||(y>-xCN+1.69725&\ &y<-xCN+1.73926) chrT26 = y>0.5144&&x>0.5487&&x<0.6293||(x>0.5812&&x<0.5968) test2 = chrE12||chrV14||chrI15||chrV16||chrA17||chrF19||chrR20||chr\ A21||chrC22||chrT23||chrI24||chrN25||chrT26&&y>0.4&&y<0.53 test=test1||test2 test0=test0&&whitesq test0=((test0||test)==0) f1=fn1(imag(p5))*fn2(imag(p4))*pixel f2=real(p5)*pixel pixel=(test==0)*f1+test*f2 p_p1=(1,-9999), p_p2=(1.3,2), p_p3=(-0.5,0) ; Import of formula 'mmix3' from file MMIX4-3.FRM from Jim Muth ;p_p1=(1,-9999), p_p2=(1.3,2), p_p3=(-0.5,0) a=real(p_p1), b=imag(p_p1), d=real(p_p2), f=imag(p_p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p_p3)+1, l=imag(p_p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } ******************** cheers, Guy Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) C-FOTD 11-04-01 (Veiled Objects [7]) Date: 11 Apr 2001 08:21:31 EDT Classic FOTD -- April 11, 2001 (Rating 7) Fractal visionaries and enthusiasts: Today's FOTD is late again . . . no surprise in that. I'm still busy. But I have finally managed to find an image that rates above a 6. True, at a rating of 7, it's only a single step above 6, but it's a start. I named the image "Veiled Objects" when I noticed that the smaller features seem to be draped over the larger objects like a gossamer veil. To create the image I unpacked number 6 in my series of 12 MandNewt formulae. This formula is a random variation of the Ikenaga function, and the Ikenaga function is a minor mystery. The image takes 8-1/2 minutes to render at a low-resolution SF5, but the highest resolution available is needed to do it justice. The image may be seen by running the parameter file at the resolution of your choice, or by downloading the GIF file from: or from: once it has been posted. The fractal weather today was cloudy but dry, with a temperature of 68F (20C). The fractal cats approved of the conditions. That's it for today. I've got a busy day ahead of me, and it's time to get to work. Until next time, take care, and hug at least one fractal every day. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Veiled_Objects { ; time=0:08:38.44--SF5 on a P200 reset=2001 type=formula formulafile=mandnewt.frm formulaname=MandNewt06 passes=1 center-mag=0.277319/-1.04425/35.70909/1/82.499 params=-2.37/2.17/-1.56/-1.05/3.29/-3.17 float=y maxiter=254 inside=bof60 logmap=yes periodicity=0 colors=000jwpjwqjwqhuogsmfqlepjdniclgajf`id_gcZeaY\ c`XbZV`YUZWTXVSWTRUSQSQOQPNPNMNMLLKKJJJIHHGGGEEFCD\ EBBD9AC78945B67D78F8AH9BJACLBENCFODGQEISFJUGKWHMYI\ N_JO`KQbLRdMSfNUhOVjPWlQYmRZoS_qTasUbuVcwWexXfxYgr\ ZdkZadZ_XZXQZVJZSAYRCZQDaNFeKGhHIlEInBJoCKoCKoCLoC\ LoCMoCMoCNoCNoDOoDOoDPoDQoDQoDRoDRoDSoESoEToEToEUo\ EUoEVoEWoEWoFXoFXoFYoFYoFZoFZoF_oF_oF`mG`lH`kIajIa\ hJagKafLbeLbdMbbNbaOc`Oc_PcYQcXRdWRdVSdUTdSUeRUeQV\ ePWdMYeOWeQVeRTeTSeUQeWPeXOeZMe_LeaJebIedHeeFegEeh\ CejBekAdj9dj9cj9cj8cj8bj8bi8bi7ai7ai7ai7`i6`i6`h6_\ h6_h5_h5Zh5Zh4Yh4Yg4Yg4Xg3Xg3Xg3Wg3Wg2Wf2Vf2Vf2Vf1\ Uf1Uf1Uf1Te3Td4Td5Tc6Tc7Tb8Tb9TaBSaCS`DS`ES_FS_GSZ\ HSZJSYKSYLRXMRXNRWORWPRVQRUSRUTRTURTVQSWQSXQRYQR_Q\ Q`QQaQPbQPcQOdPOePNgPNhPMiPMjPLkPLlPKmPKnRMmTNmUOm\ WQmXRlZSl`UlaVlcWkdYkfZkh_kiajkbjlcjnejpfiqgisiitj\ ivkhxmhxnhxohkunkunkvojvp } frm:MandNewt06 {; Jim Muth z=c=(pixel*p1): a=z^3+(c-p2)*z-c b=p3*z^2+c-1 z=z-1*a/b 0.000000000000000000000000000001 <= |a| } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Andrew Coppin" Subject: Re: (fractint) C-FOTD 11-04-01 (Veiled Objects [7]) Date: 11 Apr 2001 13:28:18 -0000 >From: JimMuth@aol.com >Subject: (fractint) C-FOTD 11-04-01 (Veiled Objects [7]) >Date: Wed, 11 Apr 2001 08:21:31 EDT > >Classic FOTD -- April 11, 2001 (Rating 7) > >This formula is a random >variation of the Ikenaga function, and the Ikenaga function is a >minor mystery. What the heck is the Ikenaga function?!?! _________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Andrew Coppin" Subject: Re: (fractint) Fractint Development Date: 11 Apr 2001 13:35:54 -0000 >From: Programmer Dude >Reply-To: fractint@lists.xmission.com >To: fractint@lists.xmission.com >Subject: Re: (fractint) Fractint Development >Date: Wed, 04 Apr 2001 10:58:32 -0500 > >No one has responded to this in a couple days, so I thought I'd take a >shot at it... Thanks. >Andrew Coppin wrote: > > > So, you mean that FractInt can as such only use 64KB of memory? > >Sort of. > >FractInt was born as an MS-DOS program, and MS-DOS ran on Intel chips. >Intel chips see memory as "segmented" rather than "flat" (as the Motorola >chips (used in Apple machines) do). Flat memory looks like one huge >"address space". For any memory location from 0000000 to umpteenzillion, >the memory location just refers to the appropriate point, like milage >along a road. > >In segmented memory, a memory location consists of two numbers: a >segment and an offset. The segment is like a rolling window that jumps >in, IIRC, 256-byte jumps: segment 0 starts at 0, segment 1 starts at 256, >and so on. And a segment is a 64-k "window". The offset refers to any >location within that 64-k window. > >The Intel chips ran programs in an architecture that had four segments: >a "Code" segment, a "Data" segment, a "Stack" segment and an "Extra" >segment sometimes used as a second, extended Data segment). Due to the >nature of the C language (a primary development language of the day), >the Stack and Data segments usually had to be identical. You ended up >with a 64-K window with your data growing from the bottom upwards and >your stack growing from the top downwards. The space in the middle was >the "heap" and is where you got dynamically allocated memory from. > >The "Memory Model" is what various configurations of the segments is >called. Remember the old .COM programs? By definition, they always >use the "Tiny" memory model. All segments are identical, and your >entire program--data and code--must fit in a single 64-K window. > >The "Medium" memory model, IIRC, has the stack and data sharing one >64-K segment, while the code lives in its own 64-K segment. > >This doesn't mean the program can't access data outside these segments. >It can, but outside memory is "far" in the language of Intel memory >models (opposed to the "near" memory in the data/stack segment). Because >the data/stack segment is "framed" by the segment pointers of the Intel >architecture, you only need 16 bits (64-K) to address it. But since "far" >memory is 'somewhere in address space' you need a full address which was, >at the time, 24 bits usually expressed as two 16-bit values with 8 bits of >overlap. Added together, they form a 24-bit address. > >The bottom line is that, in your program, you have a mix of "near" data >and "far" data, and they require different variable types to refer to. So it's an address space thing? What you're saying is that for certain address ranges you can miss out a couple of the MSBits? (Hence presumably smaller/faster code?) > > What's involved in such a change? Is it just a case of going through the > > program and changing half a million lines of code on a find-and-replace > > basis, or does it require an actaul redesign of the code? > >I can't speak for the FractInt developers, and I'm not familiar with the >code. I can guess it lies between those two ideas. It's not a simple >matter of S&R; I'd guess you want to examine every place you need to change >to see if the change breaks anything. But it probably does NOT require a >complete redesign. > >Ideally you'd like a compiler that let you treat memory as flat and make >all your pointers be the same type. I have no idea if such exists for >the Intel platforms. Can't you just treat everything as "far"? >But then *I* think what you *really* want is to get away from MS-DOS. > > > I'd really prefer FractInt to remain a DOS program, or perhaps to have > > a DOS *and* a Windows version. (...and a Linux/UNIX version, like they > > do with POV-Ray. Hey... isn't that a Stone Soup project too?) > >Don't *think* POV-Ray (great program, BTW) is Stone Soup. There's actually >a great concept there. POV-Ray renders to a disk file normally. The >Windows version just happens to have the extra treat of showing you the >image as it's rendered. But the heart of POV-Ray is a command line tool >for rendering 3D scenes into an image file of some type. Yeah, POV-Ray = utterly cool program! Actually, the DOS and Amiga verisons show you previouse too (unless you turn it off). > >> The other problem is that we do indeed use extended and/or expanded > >> memory for options other than just disk video. Saving the on screen > >> image when switching to a menu comes to mind. > > > > If you had more memory to play with, could this be avoided? (I >understand > > that disk video can use insane quantities of RAM, but keeping a copy of > > the video buffer for a normal screen shouldn't be too bad...) > >But what I imagine they have to save is the fractal image while the menu >screens are displayed. That could be considerable. > >Anyway, hope this little data dump helped rather than confused... Hmm... I remember back on the old 6502 processor found in the legendary C64 there was a "zero page" addressing mode, which only required an 8-bit address instead of the usuall "absolute addressing" which required a 16-bit address. I think you're saying the Intel CPU has a "base-offset" register or something that lets you use shorter addresses (and limits your address space). Close? Thanks. Andrew. PS. I am now in possetion of the fractint source code. I'll spend some time failing to understand it later... _________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) Re: C-FOTD 11-04-01 (Veiled Objects [7]) Date: 11 Apr 2001 09:54:18 EDT Andrew Coppin asked: >What the heck is the Ikenaga function?!?! That's the minor mystery! The function is mentioned in the fractint.frm file, but no one seems to know where the function came from or whether it has any use other than creating fractals. There is an Ikenaga page on the 'net, but the owner of that page denies being the function's originator. Jim M. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) Re: C-FOTD 09-04-01 (Mandelbrot Mayhem [5]) Date: 11 Apr 2001 10:03:34 EDT The Programmer Dude wondered: >Why should there *be* an ultimate fractal? Seems kind of limiting... There is no 'ultimate' fractal. I intended the statement to be taken ironically. Jim M. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Programmer Dude Subject: Re: (fractint) Fractint Development Date: 11 Apr 2001 10:13:07 -0500 Andrew Coppin wrote: >> The Intel chips ran programs in an architecture that had four segments: >> a "Code" segment, a "Data" segment, a "Stack" segment and an "Extra" >> segment (sometimes used as a second, extended Data segment). >> >> The "Memory Model" is what various configurations of the segments is >> called. >> >> The "Medium" memory model, IIRC, has the stack and data sharing one >> 64K segment, while the code lives in its own 64K segment. >> >> This doesn't mean the program can't access data outside these segments. >> It can, but outside memory is "far" in the language of Intel memory... > > So it's an address space thing? What you're saying is that for certain > address ranges you can miss out a couple of the MSBits? (Hence presumably > smaller/faster code?) You can miss out on eight of them, yes. >> Ideally you'd like a compiler that let you treat memory as flat and make >> all your pointers be the same type. > > Can't you just treat everything as "far"? Yes, and I'm sure this is what the developers would like to do. It does require a re-write, since it was NOT done this way originally. Remember the age of FractInt; back then speed was an issue (well, it still is), and universal far addressing was often significantly slower depending on the compiler, compiler libraries and how you went about it. As has been mentioned, even back then, there were MS-DOS "extenders" that could present a flat address space to the system, but your compiler needed to know about it to use it. > Hmm... I remember back on the old 6502 processor found in the legendary C64 > there was a "zero page" addressing mode, which only required an 8-bit > address instead of the usuall "absolute addressing" which required a 16-bit > address. I think you're saying the Intel CPU has a "base-offset" register or > something that lets you use shorter addresses (and limits your address > space). Close? Yes. In fact, it has four (mentioned in the first paragraph above). It allows you to use 16-bit addresses with the tradeoff that you only get a 64K address space. Unlike the 6502, your "segment" can start at any 256 byte boundary in the total address space. -- |_ CJSonnack _____________| How's my programming? | |_ http://www.Sonnack.com/ ___________________| Call: 1-800-DEV-NULL | |_____________________________________________|_______________________| Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Lee Skinner Subject: (fractint) C-FOTD 11-04-01 (Veiled Objects [7]) Date: 11 Apr 2001 13:10:58 -0400 >> I named the image "Veiled Objects" when I noticed that the smaller features seem to be draped over the larger objects like a gossamer veil. = << It reminds me of a spacecraft orbiting around a planet. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) C-FOTD 12-04-01 {Blueberries [5]) Date: 12 Apr 2001 08:31:49 EDT Classic FOTD -- April 12, 2001 (Rating 5) Fractal visionaries and enthusiasts: With today's fractal, which pictures a midget in the land of Z^sqrt2+C, we slip back to a rating of 5. This perfectly average picture features a perfectly normal, though fractured, midget that exists in a remote valley of its parent fractal. I visit the Z^sqrt2 figure frequently because in this figure the midgets are relatively easy to find compared to the midgets in other figures with exponents of Z between 1 and 2. Since 1.4142 is the square root of 2, the midgets in the Z^1.4142 figure reveal their hiding places by being surrounded with the same two-way symmetry that reveals midgets in the classic Z^2+C figure. But in the Z^1.4142 figure the midgets lie far deeper and farther apart. I named the image "Blueberries" when I noticed the berry-like depressions surrounding the barely visible midget at the center. There are roughly 9 berries in the outer ring and roughly 13 berries in the smaller inner ring, which is not at all surprising, since 13/9 equals roughly 1.4142. The parameter file takes over 23 minutes to render on a 200mhz Pentium machine. It will run faster on a faster machine, but not so fast as to make a download of the GIF image file superfluous. That image file may be found on the Web at: and at: The fractal weather today featured a steady rain from dawn to dusk. The temperature of 52F (11C) combined with the rain to keep the cats snug indoors in their beds. Once again we come to the end of the FOTD. It was a relatively brief one because I'm still busy. But eventually I'll catch up, and then, anything could happen. Until next time, take care, and help preserve fractals from extinction. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Blueberries { ; time=0:23:16.75--SF5 on a P200 reset=2001 type=formula formulafile=branchct.frm formulaname=MandelbrotBC passes=1 center-mag=-1.04105767849226400/-1.142969742678717\ 00/1.290666e+007/1/90 params=1.414213562373/0/100/0 float=y maxiter=2800 inside=0 logmap=569 periodicity=10 colors=000GU0GU0ET0CQ0AO08M06K04I02G00D00D00B00900\ 60050020020000000000000000000000000000000000000000\ 0000000200200400400400600620640840860A80A80AA0CC0C\ E0CE0EG0EH0GH2GJ2GL2HL4HN4HP6JR6JR8LT8LVALVANXCNZC\ NZEP`EPbEPbCRdCRdATdATd8Vd8Vd6Vd6Xd4Xd4Ze2Ze2Ze0`e\ 0`e0be0be0be0de0de0eg0eg0gg0gg0gg0ig0ig0kg0kg0kg0m\ i0mi0oi0oi0oi0qi0qi0si0si0uk0si0sg0qg0qe0oe0od0ob0\ mb0m`4k`6kZAiZCiXGiVHgVLgTNeTReRTeRXdP`dNbbNebLg`L\ k`Jm`HqZHsZGvXGxXEzVEzVCzVAzTAzT8zR8zR6zN4zR6zV8zX\ 8z`AzbAzeCzgCzkEzmEzqGzsGzvHxxHvzJuzJszLszLozNmzNk\ zNizNgvNeuPdsPbqP`mPZkPXiPVgRTdRRbRP`RNZRNZTLXRJXR\ JXPHVPGYNG`NEcNEfLCiLAfJAcJ8_J6WI6SJ4PK4ML2JM0GN0D\ O0AP0AQ0AR0AS0AT0AU0AV0AW0CX0EY0GZ0G_0E`0Ga0Gb0Gc0\ Gd0He0Hf0Hg0Hh0Ji0Jj0Jk2Jl2Lm4Ln6Lo8Lp8NqANrCNsENt\ EPuGPvHPwJPxJRyLRzNRzPRzPTzRTzTTzVTzVVzXVzZVz`Vz`V\ zbTzdTzdTzeTzeTzgTzgRziRz } frm:MandelbrotBC = { ; Z = Z^E + C e=p1 p=real(p2)+PI q=2*PI*trunc(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|<100 } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Jonathan Osuch" Subject: Re: (fractint) Re: C-FOTD 11-04-01 (Veiled Objects [7]) Date: 12 Apr 2001 19:54:54 -0500 > That's the minor mystery! The function is mentioned in the fractint.frm > file, but no one seems to know where the function came from or whether it has > any use other than creating fractals. From the ikenaga.frm file that came with FRAC'Cetera volume 2 issue 7 (Jon Horner's publication): IKENAGA - Formula originally discovered by Bruce Ikenaga, at Western Reserve University, Indiana. Documented in Dewdney's `Armchair Universe". The Ikenaga set is: Z(n+1) =Z(n)^3 + (C-1) * Z(n) - C where: Z(n) = x + yi and C = a + bi Jonathan Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Bill Jemison Subject: (fractint) Jonathan - puzzling par Date: 12 Apr 2001 23:15:35 -0400 Jonathan, I can't get the following par to generate at any higher res that SF5 (640x480x256). Is this a bug? or is something going on that I am missing? *************************************************** billtest { ; Version 2001 Patchlevel 6 reset=3D2001 type=3Dlorenz passes=3Dd center-mag=3D+0.00000000000000000/+15.00000000000000000/1.333333/1.3333= params=3D0.02/5/15/1 float=3Dy maxiter=3D1000 fillcolor=3D0 inside=3D0 outside=3D0 cyclerange=3D1/1 sound=3Dbeep/fm orbitdelay=3D1000 showorbi= t=3Dyes colors=3D000pdQ0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzzzLzzz000555<3>HHHKK= KOO\ O<3>ccchhhmmmssszzz00z<3>z0z<3>z00<3>zz0<3>0z0<3>0zz<2>0GzVVz<3>zVz<3>z= V\ V<3>zzV<3>VzV<3>Vzz<2>Vbzhhz<3>zhz<3>zhh<3>zzh<3>hzh<3>hzz<2>hlz00S<3>S= 0\ S<3>S00<3>SS0<3>0S0<3>0SS<2>07SEES<3>SES<3>SEE<3>SSE<3>ESE<3>ESS<2>EHSK= K\ S<2>QKSSKSSKQSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3>G0G<= 3\ >G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG8AG88= G\ 8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2>BGFB= G\ GBFGBDGBCG000<6>000 } **************************************************** Bill Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) C-FOTD 13-04-01 (Squirt [6]) Date: 12 Apr 2001 23:42:46 EDT Classic FOTD -- April 13, 2001 (Rating 6) Fractal visionaries and enthusiasts: It's been another very busy day here at Fractal Central, but not so busy that I needed to forego my daily fractal search. It was however too busy for the enlightening philosophy that you've all been waiting for. But there's a long future ahead, and the philosophy will come at the proper time. (I don't want to solve the riddle of the universe too soon -- that would take all the fun out of it.) Today's fractal is named "Squirt". I gave it this name because the image pictures another midget in the Z^(sqrt2)+C Mandeloid, and the Fractint abbreviation for 'square root' is 'sqrt', and if the letters u and i are added to the middle of 'sqrt', the word becomes 'squirt'. Another reason is that I often pronounce 'square root' as 'squirt'. The image, which vaguely resembles an octopus or starfish, is a bit above average, just enough to deserve the rating of 6 that I gave it. These 'squirt' midgets are becoming more interesting as I develop the knack of finding them. And the Z^(sqrt2)+C figure, unlike the familiar Z^2+C figure, is infinite in its surface extent. The attached parameter file takes 29 minutes to render on an aging Pentium running at 200mhz. Newer and faster machines will render the image in far less time. Older, slower ones will take far longer. Regardless, the GIF file of the image will soon be posted to: and to: The fractal weather today was partly cloudy with an afternoon temperature of 66F (19C). These conditions must have suited the dynamic duo of cats perfectly, since they spent the entire afternoon basking in the on-again off-again sunshine. As for me, I spent the afternoon trying to work my way through the backlog, having only minor success. Well, I see it's now time to shut down the fractal place and call it a night. Until next time, when I'll return with more goodies, take care and be ever vigilant for that once-in-a- lifetime fractal. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Squirt { ; time=0:29:41.84--SF5 on a P200 reset=2001 type=formula formulafile=branchct.frm formulaname=MandelbrotBC passes=1 center-mag=-0.91532246418772030/+0.387841135413711\ 50/2.102521e+012/1/90 params=1.414213562373/0/120/0 float=y maxiter=2800 inside=0 logmap=890 mathtolerance=/1 periodicity=10 colors=000IgmEzwEzwEzwGzxGzxGzxGzzGzzHzzHzzHzzHzzJ\ zzJzzJzzJzzKzzJzzJxzJwzJtxJrwJouJlrJkqJhoJfnJckJbi\ J_hJXeJVcHSbHQ`HNYHKXHJVHGSBEQ8BPBAN77K24J02HH0EH0\ DH0BH0AJ0BK0BM2DN5DP7EQAESDETGGVHGXKHYNH_QH`TJbVJc\ YKe`KfcKheMihMkkNlnNloNlnNlnMklMkkMkkKiiKiiJihJihH\ hfHheHheGfcGfcEfbEfbEe`Ge`Hc_Jc_KcYMbYNbXPbXQ`XS`V\ T`VV_TX_TY_S_YS`YS`YQbXQcXPeXPfVNhVNiVMkTMlTMnTKoS\ KqSJrSJtQHuQHwQHwPKuPMuPPuNQtNTtNVtNYrM_rMbrMcqMfq\ KhqKkoKloJooJqnJtnJunHxlHzlHzlHzlJznJznKxoKwoMtqMr\ qNqrNorNlrPktPitQhuQeuScwSbwT`xTYxTXxVVzVTzXQzXPzY\ NzYMz_MzYKzXKzXJzVJzVHzTHzTGxSGxQExQExPDzUDzZPzcUz\ UPzUEzK8zJ8xJ7tH7qH5lG5iG4eE4bD2_D2YB1YB1XA0_A0`80\ c50i80iB0fE0cH1`K1YM2XP4TS4QV5NY5K`7Hc4Hb7G`AG_BEY\ EEYHDXJDVMDTPBSQBSTAQVAPY8N`8Mb8Me7Kh7Ji5Hl5Hn5Go4\ Eq4Dr4Br4At48u47u45w44x42z42z21z20z20z20z20z20z20z\ 20z20z20z10z20z40z40z50z7 } frm:MandelbrotBC = { ; Z = Z^E + C e=p1 p=real(p2)+PI q=2*PI*trunc(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|<100 } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Multiple Bogeys" Subject: Re: (fractint) Fractint Development Date: 13 Apr 2001 03:57:28 -0400 ------=_NextPart_001_0000_01C0C3CD.DC545440 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable > Can't you just treat everything as "far"? Sure, which solves problems of total available memory. But you still get = problems trying to maintain any contiguous data structure (e.g. array) sp= anning more than 64kb. With flat memory this is as easy as smaller data s= tructures.
Get Your Private, Free E-mail from MSN Hotm= ail at http://www.hotmail.com.
=

------=_NextPart_001_0000_01C0C3CD.DC545440 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable
> Can't you= just treat everything as "far"?
Sure, which solves proble= ms of total available memory. But you still get problems trying to mainta= in any contiguous data structure (e.g. array) spanning more than 64kb. Wi= th flat memory this is as easy as smaller data structures.
&nb= sp;
 


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

------=_NextPart_001_0000_01C0C3CD.DC545440-- Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Jonathan Osuch" Subject: Re: (fractint) Jonathan - puzzling par Date: 13 Apr 2001 07:56:34 -0500 Bill, > I can't get the following par to generate at any higher res that SF5 > (640x480x256). > Is this a bug? or is something going on that I am missing? Here is an excerpt from lorenz.c: >> /* BAD_PIXEL is used to cutoff orbits that are diverging. It might be better to test the actual floating point orbit values, but this seems safe for now. A higher value cannot be used - to test, turn off math coprocessor and use +2.24 for type ICONS. If BAD_PIXEL is set to 20000, this will abort Fractint with a math error. Note that this approach precludes zooming in very far to an orbit type. */ #define BAD_PIXEL 10000L /* pixels can't get this big */ << Setting BAD_PIXEL to 20000 does let your par generate. I suspect that upon further zooming in, the same thing will happen. IMO, this qualifies as a bug. Although I'm not sure what we would gain by being able to zoom into these types. Tim may have more insight into what the problem is. Jonathan Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: DeBow Freed Subject: Re: (fractint) Re: C-FOTD 11-04-01 (Veiled Objects [7]) Date: 13 Apr 2001 11:28:54 -0500 Thanks to Jonathan!

A Bruce Ikenaga currently on the Math Faculty at Millersberg, PA last year denied any knowledge or authorship of the IF's. I was unable to locate any other "Ikenaga" in the US, Europe or Japan using various Mathematical Society Membership Records available at this January's Joint Math Meeting in New Orleans.

Are their two Bruce Ikenaga's, both teaching math at US universities? Maybe this is akin to expressing surprise that there are 2 John Smith's selling pork bellies in Chicago, but I don't know common the name Ikenaga is, nor the joint probability of first name Bruce and being a practicing Math academic.

Perhaps the "Veiled Object" is really just Ikenaga.
 

Freed
 
 

Jonathan Osuch wrote:

> That's the minor mystery!  The function is mentioned in the fractint.frm
> file, but no one seems to know where the function came from or whether it
has
> any use other than creating fractals.

>From the ikenaga.frm file that came with FRAC'Cetera volume 2 issue 7 (Jon
Horner's publication):

  IKENAGA - Formula originally discovered by Bruce Ikenaga, at Western
Reserve
  University, Indiana.  Documented in Dewdney's `Armchair Universe".

          The Ikenaga set is:    Z(n+1) =Z(n)^3 + (C-1) * Z(n) - C
          where:                      Z(n) = x + yi and C = a + bi

Jonathan

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Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: Re: (fractint) Re: C-FOTD 11-04-01 (Veiled Objects [7]) Date: 13 Apr 2001 11:38:14 -0500 DeBow Freed wrote: > > Are their two Bruce Ikenaga's, both teaching math > at US universities? No, it is the same person. All details may be found at his home page and the associated web pages (see the page on Biographical Information): http://www.millersv.edu/~bikenaga/ Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: DeBow Freed Subject: Re: (fractint) Re: C-FOTD 11-04-01 (Veiled Objects [7]) Date: 13 Apr 2001 12:07:16 -0500 Thanks Paul.

Ikenaga's response to my query last year (and I believe his homepage also lists) one fairly lengthy Adobe-ized set of "classnotes" concerning Fractals which he (Ikenaga) stated were "trivial".

He also said he had, indeed, heard of a program called "Fractint", which he liked, and perhaps would take a look at some of last year's pod of Ikenaga-based FOTD's from Jim (which I forwarded to him) and some the Discussion Group pages. Subsequently, no mas was ever heard from Dr. Ikenaga.

He twice denied any recollection of having produced anything substantive.
Perhaps we should let him in on the secret.

DeBow

"Paul N. Lee" wrote:

DeBow Freed wrote:
>
> Are their two Bruce Ikenaga's, both teaching math
> at US universities?

No, it is the same person.  All details may be found at his home page
and the associated web pages (see the page on Biographical Information):

       http://www.millersv.edu/~bikenaga/

Sincerely,
P.N.L.
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Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Bill Jemison Subject: (fractint) Jonathan - puzzling par Date: 13 Apr 2001 13:07:04 -0400 Thanks Jonathan (although I don't have a clue as to what you are talking = about ) As you may have surmised, my reason for zooming into this = type fractal is strictly for sound-generation purposes. = ************************ > I can't get the following par to generate at any higher res that SF5 > (640x480x256). > Is this a bug? or is something going on that I am missing? Here is an excerpt from lorenz.c: >> /* BAD_PIXEL is used to cutoff orbits that are diverging. It might be = better to test the actual floating point orbit values, but this seems safe for = now. A higher value cannot be used - to test, turn off math coprocessor a= nd use +2.24 for type ICONS. If BAD_PIXEL is set to 20000, this will abort Fractint with a math error. Note that this approach precludes zooming in very far to an orbit type. */ #define BAD_PIXEL 10000L /* pixels can't get this big */ << Setting BAD_PIXEL to 20000 does let your par generate. I suspect that up= on further zooming in, the same thing will happen. IMO, this qualifies as a= bug. Although I'm not sure what we would gain by being able to zoom into= these types. Tim may have more insight into what the problem is. Jonathan Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ----------------------- Internet Header -------------------------------- Sender: owner-fractint@lists.xmission.com Received: from lists.xmission.com (lists.xmission.com [198.60.22.7]) by spdmgaad.compuserve.com (8.9.3/8.9.3/SUN-1.9) with ESMTP id = IAA03555; Fri, 13 Apr 2001 08:59:27 -0400 (EDT) Received: from domo by lists.xmission.com with local (Exim 2.12 #2) id 14o39G-0001EJ-00 for fractint-gooutt@lists.xmission.com; Fri, 13 Apr 2001 06:58:02 = -0600 Delivered-To: fixup-fractint@lists.xmission.com@fixme Message-ID: <000801c0c419$6e896b20$0100a8c0@bananasenior> References: <200104122315_MC2-CC59-CBE2@compuserve.com> MIME-Version: 1.0 Content-Type: text/plain; charset=3D"iso-8859-1" Content-Transfer-Encoding: 7bit X-Priority: 3 X-MSMail-Priority: Normal X-Mailer: Microsoft Outlook Express 5.50.4133.2400 X-MimeOLE: Produced By Microsoft MimeOLE V5.50.4133.2400 Sender: owner-fractint@lists.xmission.com Precedence: bulk Reply-To: fractint@lists.xmission.com Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: DeBow Freed Subject: Re: (fractint) Re: C-FOTD 11-04-01 (Veiled Objects [7]) Date: 13 Apr 2001 12:20:48 -0500 To all-

Before I disseminate more misinformation than usual, Dr. Ik's "classnotes" [his phrase] on "Self-SimilarFractals" are available at the homepage address provided by PNL in the form of a Mathematica 2.1 Notebook [not Adobe, as I previously stated], which I did not have the ability to convert to legible text at the time.

When I heard nothing further from Dr. Ikenaga, I (obviously mistakenly) assumed he knew his own work better than I ever would, gave up the search for archaic versions of Mathematica software with which to translate his 2.1 Notebook, and took the man at his word.

Funny, wonder what the real genesis of the functionals was.

Freed
 

DeBow Freed wrote:

Thanks Paul.

Ikenaga's response to my query last year (and I believe his homepage also lists) one fairly lengthy Adobe-ized set of "classnotes" concerning Fractals which he (Ikenaga) stated were "trivial".

He also said he had, indeed, heard of a program called "Fractint", which he liked, and perhaps would take a look at some of last year's pod of Ikenaga-based FOTD's from Jim (which I forwarded to him) and some the Discussion Group pages. Subsequently, no mas was ever heard from Dr. Ikenaga.

He twice denied any recollection of having produced anything substantive.
Perhaps we should let him in on the secret.

DeBow

"Paul N. Lee" wrote:

DeBow Freed wrote:
>
> Are their two Bruce Ikenaga's, both teaching math
> at US universities?

No, it is the same person.  All details may be found at his home page
and the associated web pages (see the page on Biographical Information):

       http://www.millersv.edu/~bikenaga/

Sincerely,
P.N.L.
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using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint"
Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Andrew Coppin" Subject: Re: (fractint) Re: C-FOTD 11-04-01 (Veiled Objects [7]) Date: 13 Apr 2001 19:40:42 -0000 >From: "Jonathan Osuch" >Reply-To: fractint@lists.xmission.com >To: >Subject: Re: (fractint) Re: C-FOTD 11-04-01 (Veiled Objects [7]) >Date: Thu, 12 Apr 2001 19:54:54 -0500 > > The Ikenaga set is: Z(n+1) =Z(n)^3 + (C-1) * Z(n) - C > where: Z(n) = x + yi and C = a + bi > >Jonathan Now *that* was what I was asking! Thanks. Andrew. _________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: DeBow Freed Subject: Re: (fractint) Re: C-FOTD 11-04-01 (Veiled Objects [7]) Date: 13 Apr 2001 15:35:36 -0500 Fellow Fractaliers:

FYI, what follows is a direct quote from Dr. Ikenaga's response to the second of a total of 4 messages I sent to him in September of last year attempting to inquire about "Ikenaga functions" in general, and the publication called "Self Similar Fractals" listed in his own Bibliograhy on his own Homepage in specific (addresss provided in PNL's earlier note):

"Dear Dr. Freed-

   "I wish I could be of help, but I have no idea what you're
  talking about [?????? - DBF]. If someone named something after me,
  they certainly never told me about it. :-)

    "And I've never written articles about fractals [??????- DBF]. Do you
  have references for them?

     "Also, are you sure that whoever is doing this [Jim Muth-DBF] got the name right?

     "(Thanks for mentioning fractint. I always enjoyed that program,
  but I'd thought they stopped developing it. Maybe I should go look
  again.)

  Bruce"

    After 2 more similarly confusing attempts to gain further information regarding the functions themselves or Dr. Ikenaga's publication entitled "Self-Similar Fractals" which was at that time also referenced in his own Homepage, I gave up further efforts at deciphering Dr. Ikenaga's courteous but paradoxical responses.

DeBow Freed (a/k/a DBF)

  -----
  Bruce Ikenaga                    bikenaga@marauder.millersv.edu
  Dept. of Math, P.O. Box 1002,    :::::::::::::::::::
  Millersville University,
  Millersville, PA 17551-0302

Andrew Coppin wrote:

>From: "Jonathan Osuch" <osuchj@qwest.net>
>Reply-To: fractint@lists.xmission.com
>To: <fractint@lists.xmission.com>
>Subject: Re: (fractint) Re: C-FOTD 11-04-01 (Veiled Objects [7])
>Date: Thu, 12 Apr 2001 19:54:54 -0500
>
>           The Ikenaga set is:    Z(n+1) =Z(n)^3 + (C-1) * Z(n) - C
>           where:                      Z(n) = x + yi and C = a + bi
>
>Jonathan

Now *that* was what I was asking!

Thanks.
Andrew.

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

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Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) C-FOTD 14-04-01 (Squirt II [5]) Date: 13 Apr 2001 22:18:35 EDT Classic FOTD -- April 14, 2001 (Rating 5) Fractal visionaries and enthusiasts: Another busy and somewhat frustrating day has ended, to be replaced by a busy and equally frustrating evening. But at least the fractals were working right. Today's FOTD might have been named "Son of the Squirt", or "Return of the Squirt", or "Curse of the Squirt", or even "The Squirt Rises Again". All these names might have happened, but they did not. Instead I named today's image "Squirt II". I gave the fractal this unassuming name because it comes from the same Mandeloid as yesterday's image, though from a far different layer of the hyper-dimensional corkscrew caused by the multi-valued nature of the complex log function. The image, a picture of a rather gaudily colored midget in a valley of the Z^(sqrt2)+C figure, is as unassuming as its name. Because of several flaws, I could rate the image no higher than an average 5, but it's still an interesting view of things that exist in the unexplored depths of the Squirt fractal. The parameter file takes over 24 minutes to run on a 200mhz Pentium. All but the most hardy fractaliers will choose to download the GIF image file from Paul's web site at: or from Scott's site at: The fractal weather today started with a steady rain. But by 11am the rain ended and the sky cleared, leading to a sunny afternoon with a temperature of 77F (25C). The fractal cats found the conditions ideal, and showed their approval by spending the entire afternoon relaxing outdoors. My day was far from ideal, though the day's fractal partly made up for all the other things that went wrong. I'll try to have a better day tomorrow, when I'll also return with the next FOTD. Until then, take care, and perhaps I'll soon tackle the remote parts of the Zexpe (Z^2.71828...) fractal. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Squirt_II { ; time=0:24:48.96--SF5 on a P200 reset=2001 type=formula formulafile=branchct.frm formulaname=MandelbrotBC passes=1 center-mag=-0.72227094168292330/+0.175944088697707\ 90/1.898783e+007/1/-15 params=1.414213562373/0/33/0 float=y maxiter=4200 inside=0 logmap=630 periodicity=10 colors=000huIdsI`nGXjGUfFQbFM`EIXEESC9OC5KB3IB5K98\ M89N8CO7EQ5GR5IS4KU3MX3OY1QZ0S`0Va0Xb0Zd0`e0bh0di0\ fj0hl0jm0ln0np0pq0lm0hi8deI`bRXZ`SViORsKOzOSwRXqV`\ mYdh`hddlZfnVjsQmwMpzGtzCwz7yz3wz5uz7tz8szBqzCnyEm\ xGlwIjtJisMhqNenOdmRbjSaiU`hXYeYXdZVbaU`bSZdRYeSXd\ SVbSUbSSaSRaSQ`SO`SNZSMZSKYSJYSIXSGXSFVSEVSCUSBUS9\ SS8SS7RS5RS4QS3QS1OS0OS0NS0NS0MS0MS0KS0KS0JS0IS0GR\ 0GR0FR0ER0CR0BR09Q09Q08Q07Q05Q04Q03O03O01O00O00O00\ O00O00R00S01U03V35X57Y89ZBB`EEaGFdJIeMKfOMhROiUQjX\ SlZUmaXndYqf`sibtldunfwqhytjzwlzynzzpzymzwjztizqfz\ nezlbziazfZzdYzaVzZSzXRzUOzRNzOKyMJuJGtGFtECtB9s88\ s55s34q01q00q00q00n00m00l00j00h00f00e00d11a31`41Z5\ 3Y75X78U8BS9ERBGQCJNEMMFOKFRJGUGIXFJZEKaCMdBMf9Ni9\ Nl9Nn8Nq8Nt8Nw7Ny7Oz7Qz7Rz5Sz5Uz5Vz4Xz4Yz4Zz3`z3az\ 3bz3dz1ez1fz1fz0fz0fz0fz0fz0fz0fz0fz0fz1fz3fz4fz5f\ z4fz4fz3fz3fz3fz3fz3fz3fz } frm:MandelbrotBC = { ; Z = Z^E + C e=p1 p=real(p2)+PI q=2*PI*trunc(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|<100 } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Morgan L. Owens" Subject: Re: (fractint) Re: C-FOTD 11-04-01 (Veiled Objects [7]) Date: 14 Apr 2001 16:11:17 +1200 At 05:20 14/04/2001, you wrote: >To all- > >Before I disseminate more misinformation than usual, Dr. Ik's "classnotes" >[his phrase] on "Self-SimilarFractals" are available at the homepage >address provided by PNL in the