July 2002 - Fractint - mailman.xmission.com

FOTD 14-07-02 (8-Legged Weirdo [6])
by JimMuth＠aol.com 14 Jul '02

14 Jul '02

FOTD -- July 14, 2002 (Rating 6) Fractal visionaries and enthusiasts: The parent fractal of today's image is one to puzzle the fractal pundits. (If pundits can be puzzled, that is.) The puzzle lies not in today's image itself, which, with its eight arms ending in irregular holes, and well-defined areas, is pleasant enough, but in its location in relation to the entire parent fractal. The midget at the center of today's picture lies near an irregular hole, which lies just to the north of a quadratic midget, which in turn lies in the suburbs of a cubic midget, which lies in the basin of an order-6 midget, which lies in the center of a kind of unstable East Valley of the parent fractal. I'm not exaggerating all this variety. Set the logmap to 0, and do the outzooms to see for yourself. I call the valley unstable because it is very sensitive to changes in the real(p3) parameter. A string of midgets extends down the center line of this valley. Nothing unusual in a string of midgets, but no two midgets in this line are the same. Instead of the expected string of identical quadratic midgets, there are midgets of every shape and order, and some midgets that combine parts of midgets of different orders. Interesting exploration certainly waits in this valley, and I'll be wandering in it for the next several FOTD's. I might not find a lost civilization, but I'll find some interesting images for sure. I named today's image "8-Legged Weirdo". The picture itself, which rates a 6, is not that weird, but the area of the parent in which it lies is one of the most unusual I have ever ventured upon. The rating is conservative but honest. The render time of near 25 minutes on a classic P200 machine is on the slow side. A far more efficient way of seeing the scene is to download the completed GIF file from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Saturday featured lots of clouds and temperatures on the cool side for this, the hottest time of the year. But the high of 81F 27C was mild enough for the dynamic duo to spend several comfortable hours in the yard, remembering the days when they could actually catch those birds and squirrels they now only watch and chatter at. As I write this, it's Sunday morning and the clouds have turned to light rain. It's a perfect day for doing nothing and enjoying it. As always, I'll return in 2 days with the next in the unending series of FOTD images. Until then, take care, and keep your powder dry, (whatever that means.) Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ 8-Legged_Weirdo { ; time=0:24:40.96--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.4106409957710013/+0.0021028911297467\ /4.29809e+012/1/-150/-0.0559633657765741532 params=1/3/-0.3/5/0.29/0 float=y mathtolerance=/1 maxiter=2700 inside=0 logmap=421 periodicity=10 colors=00035y6Bw8GvBMuDRtGXrIaqLgpNloPjlRiiTgfUfcW\ d`YcYZaV``SbZPdYMeWJgVGiTDjSAlQ7nP4oO2eM8WKENJKPIN\ RHPTHSVGUXGWZFZ`F`aEccEeeDggDjiClkComBqnBspLtqVtrc\ tjXqbQnVJlWKkWLjXMiXMhYNgYOfZOeZPd_Qc_QbaNYcKUeHQg\ EMiCHk9Dm69o35p11l64iA6fF9cJB_NDXSGUWIR_KOdNKhPHlR\ EqUBuW8yYLscXnhiimudrtcotclscjscgscercbrb`qbYqbWqb\ TpbQpbOobLoaJoaGnaEnaBma9ma6ma4iY5eV6aS6YO7UL8RI8S\ OGTUNUZVVdaWjiWopYpnZpl_pj`qhaqfcqddqber`frZgrXhrV\ wyLjfKZOKN6K_SAll0jk1ik2hj3gj4ei5di6ch7bh8`g9_gAZf\ BYfCXfDZbC`ZCbVCdRBfNBhJBjFBlBAn7Ap3Ar0Aq29q49q68p\ 78p98pB7pD7oE7oG6oI6oK5nL5nN5nP4nR4mS4mU3mW3mX31SL\ DPUONa_KijIqgLndOkbQi_TfXVdVYaS__QbXNdVKgSIiQFlNDn\ LFmOHlRJkUKjXMi_OibQheRghTfkVenWeqYerZer`frafrcfrd\ fregrggrhgrigrfhqdhpbhp_hoYhoWhnTinRjmPkmNllKmkInk\ GojDpjBqi9ri6sh4th2ug0vg6whBxhGyiLziQziWzj`zjezkjz\ kozkmzi6zu5zv5zw4zw4zx3zy } 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==================================

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Re: [Fractint] Piclab
by Multiple Bogeys 14 Jul '02

14 Jul '02

> I've always thought - and mentioned on this list! - that > what was needed was a back-end style Fractal > Processing Engine which contains all the functions > used to generate fractals, with a standard API for using > the back-end. Then the finicky OS-specific stuff like UI > widgets could be in a separate app that basically calls > the Fractal Processing Engine API as needed. Opens > up many fun possibilities - a wider variety of UIs for > generating fractals, a client/server architecture allowing > the FPE back-end to run on a different machine from > the UI, much greater platform independence. It would > be nice if Fractint's processing routines could be turned > into such a beast, but maybe Piclab would be a better > starting point. Or XFractint. Someone else has had this idea too. Check out protomatter.sourceforge.net. There's not been any change there for months though. It may be dead, or on some kind of hiatus. The image samples on the site are neat though.Get more from the Web. FREE MSN Explorer download : http://explorer.msn.com

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color cycling in Xfractint
by James S. Martin 13 Jul '02

13 Jul '02

Hi folks. It's been about 8 years since I last played with Fractint-- back then I was using the DOS version. I recently downloaded the latest source and compiled it on my Linux box. For the life of me I cannot get color cycling to work. From what I've read I press 'C' and then '+' or '-' after an image is loaded. I've tried this and it does not work. I'm using XFree86 4.2 and KDE 3.02. I've combed through all the documentation and I think Google is sick of me right now. Can some help me out with this? James

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FOTD 12-07-02 (Midget-01 [5])
by Jim Muth 12 Jul '02

12 Jul '02

FOTD -- July 12, 2002 (Rating 5) Fractal visionaries and enthusiasts: The high point of Thursday came at 2pm when a 3-alarm fire broke out in the local animal hospital. Luckily the staff got all the animals out of the building in time, but the building is a total loss. When I told the news to the dynamic duo, they looked up and said, 'good, now we'll never have to go to that terrible place again.' Unlike the cats' trips to that particular hospital, my trips to the Mandelbrot set will never come to an end. Simply too much stuff exists to be seen there. In today's image for example, we travel to a midget just beyond the negative stem of a midget in the eastern suburbs of the prominent midget on the negative stem of the M-set. If you can decipher that last sentence, you know where today's scene is located. The rendering is boringly conventional, with equal-iteration- bands on the outside and the color 000 on the inside. The only change from the default is the bailout, which has been raised from 4 to 6. I named the image "Midget-01" more as a catalog entry than a description. After a few minutes of study, I rated the image at a perfectly normal 5. I put too little effort into creating the image and coloring it to rate the result any higher. A careful study of the image will reveal features characteristic of both the Eastern and Western suburbs of Mandelbrot midgets. Combined with the resetting of the number of elements surrounding the central midget, this is a sure sign that the midget in today's image is part of the family of a larger midget. I entered the mathtolerance=/0 parameter into the parameter file by hand to force the program to use arbitrary precision math. Though the image renders using both conventional and arbitrary math, the arbitrary math, which takes 70 times as long, results in a slightly better image. Those willing to spend 8 minutes watching the image appear can run the attached parameter file. Those with more important ways to spend their time may download the completed GIF image from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Thursday was absolutely perfect, with a temperature of 80F 27C and a crystal blue sky streaked with angel-hair cirrus. The dynamic duo made the most of the perfection by spending the entire afternoon in the yard. They seemed not the least concerned about their doctor's office burning down. As for myself, today will seem a lot more perfect when the work is behind me. But to bring about that condition I must begin, and the time to begin is now. Until next time on the 14th, take care, and the unexpected strikes when least expected. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Midget-01 { ; time=0:07:59.45--SF5 on a P200 reset=2002 type=mandel mathtolerance=/0 center-mag=-1.74259033650061656/0.0108269125319204\ 82/3.416697e+012/1/-35.0070018490356247/-0.0174293\ 321394581244 params=0/0 float=y maxiter=975 bailout=6 inside=0 logmap=180 periodicity=10 colors=000KbmKakK`kKagK`fK_fKZdKYbKXbKW`JV`ET`9PW8\ MK7Ab9F`AK_COZDTYEXXGaVHfUJjTKoSLqRKgSKXSJMSJBSFJN\ CQJ8XE5cA2j63f84b95ZB6VC7RD8NF9JG9FHIDJQBLY9Ne7Pm6\ Qn7To7Vo7Zp7cp7hq7kr7ms7ot7qu7sv7uw7wx7xy7yz7zpBtl\ EqhHmcKj_OfWRcRU_NXXJ_UHbZGdcHeeHffHggHghHhiHijIjl\ IjmIknIloImpImqKlnLklMjjNjgOiePhcQgaSgZTfXUeVVdTWd\ QXcOYbMZbKYaLYaLX`MX`MX_MW_NWZNWZNVYOVYOVXOUXPUWPU\ WPTSUTPYTLaTIeSEjSBnS7rS4vS1zV4rX7k_AcaDXdGPfJIhLB\ gKCfJDfIEeHFeGGdFHdEIcEJcDKbCLbBMaANa9O`8P`8QZCRXF\ SVITULTSOUQRVPUVNXWL`XKcXIfYGiZFlZDo_Br`Au`Bq_CmZD\ jYDfYEcXF_WGXVGTVHQUIMTJJSJFSKCRL8QL5QN9RPDRQHRSLS\ TOSVSSWWSY_TZcT`fTajTcnUdrUfvUgyUhtRhpPhkNigLibJiZ\ HjUFjQDjLBkH9kC7k85ZVKMqZOoXPmVQkTRjRShPTfNUeLVcJW\ aHX`FYZDZXB_W9aYDc_GeaJgcMhePjgSliVnkYpm`qocsqfusi\ wtlxuoTvXVwVXxTYyR_zP`zNbzLczJezIgzGhzEjzCkzAmz8nz\ 6hzzkzzgzwczt`zrXzoUzmTzk } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 10-07-02 (Midget Squid [6])
by Franktal Gallery 12 Jul '02

12 Jul '02

All this tentacle talking reminded me of a wonderfully disturbing picture, by Paul DeCelle... http://www.fractalus.com/paul/cthulhu.html Cthulhu fthagn ! Miguel >From: sqrt_-1(a)juno.com >Reply-To: fractint(a)mailman.xmission.com >To: fractint(a)mailman.xmission.com >Subject: Re: [Fractint] FOTD 10-07-02 (Midget Squid [6]) >Date: Thu, 11 Jul 2002 19:00:08 -0500 > >I found this a few years ago and the name "Midget Squid" reminded me of >it. > >JK > > >mutant_octopus { ; it has eight legs, right? 90 min at 1024x768 > reset=1930 type=mandel passes=b > center-mag=-1.759895432332375466/0.01229829457725998347/5.665433e+015 > params=0/0 float=y maxiter=5000 > >colors=000_ao<21>DGdBEcBEc<29>BBLAAKCDK<14>kuC<15>AAK<15>z00<14>zvvzzzxv\ > >w<12>c0K<2>g4Ji5Ij6Hl7Gm9G<2>rCDsEDuFCvHCxIBzKA<2>zREzUFzXGz_HzaJ<8>zzU<\ > 15>9C`ADaBEc<46>xxyzzzyyz<22>`bo > } > > >On Wed, 10 Jul 2002 10:59:00 -0400 Jim Muth <jamth(a)mindspring.com> >writes: > > > > FOTD -- July 10, 2002 (Rating 6) > > > > Fractal visionaries and enthusiasts: > > > > In the depths of the world's oceans lurks the giant squid, so > > far unseen while alive and known only from dead specimens washed > > up on beaches or dredged up in fishing nets. In the depths of > > the world's fractals lurks the midget squid, neither alive nor > > dead and known only by a whimsical name given in a moment of > > fancy. > > > > For some strange reason, while viewing today's image, I was > > reminded of a squid. (I thought I saw suckers.) Since the size > > of the features in the image is in the sub-atomic range, I named > > the picture "Midget Squid". _________________________________________________________________ MSN Photos is the easiest way to share and print your photos: http://photos.msn.com/support/worldwide.aspx

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Re: [Fractint] FOTD 10-07-02 (Midget Squid [6])
by sqrt_-1＠juno.com 11 Jul '02

11 Jul '02

I found this a few years ago and the name "Midget Squid" reminded me of it. JK mutant_octopus { ; it has eight legs, right? 90 min at 1024x768 reset=1930 type=mandel passes=b center-mag=-1.759895432332375466/0.01229829457725998347/5.665433e+015 params=0/0 float=y maxiter=5000 colors=000_ao<21>DGdBEcBEc<29>BBLAAKCDK<14>kuC<15>AAK<15>z00<14>zvvzzzxv\ w<12>c0K<2>g4Ji5Ij6Hl7Gm9G<2>rCDsEDuFCvHCxIBzKA<2>zREzUFzXGz_HzaJ<8>zzU<\ 15>9C`ADaBEc<46>xxyzzzyyz<22>`bo } On Wed, 10 Jul 2002 10:59:00 -0400 Jim Muth <jamth(a)mindspring.com> writes: > > FOTD -- July 10, 2002 (Rating 6) > > Fractal visionaries and enthusiasts: > > In the depths of the world's oceans lurks the giant squid, so > far unseen while alive and known only from dead specimens washed > up on beaches or dredged up in fishing nets. In the depths of > the world's fractals lurks the midget squid, neither alive nor > dead and known only by a whimsical name given in a moment of > fancy. > > For some strange reason, while viewing today's image, I was > reminded of a squid. (I thought I saw suckers.) Since the size > of the features in the image is in the sub-atomic range, I named > the picture "Midget Squid". > > It's a pretty ordinary formula that generates the image -- > 4(Z^(-0.1))+0.4(Z^2)+C -- a formula that generates a moth-eaten > parent fractal with more curious nooks and crannies to explore > than a fractalist can shake his iterations at. In today's case, > I chose the vague 'East Valley' appearing area of the parent to > investigate. I got quite far down before the signs of the tiny > midget finally appeared. > > Because of its less-than-expert coloring, the image rates a 5 or > a 6. Feeling generous, I rated it a 6. A better way of rating > the FOTD images might be to have the viewers decide. I've been > thinking about such a system for some time. Perhaps I'll decide > about the ratings when the FOTD-CD is ready. > > The parameter file's render time of 10 minutes is a bit slow for > today's busy world. Time can be saved by downloading the > finished GIF image from Paul's web site at: > > <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> > > or from Scott's site at: > > <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> > > The fractal weather Tuesday was once again hotter than a > far-cracker. But in the early evening the temperature of 99F > 37C was knocked down to 72F 22C by a whopper of a thunder-storm, > which sent the intrepid duo of house-cats scurrying for cover > and kept them hidden until 10pm. > > Today promises to be less hot, but before I can enjoy the milder > conditions, I must finish some work. And before I can finish, I > must start. So until the next FOTD on July 12, take care and be > ready for anything. > > > Jim Muth > jamth(a)mindspring.com > jimmuth(a)aol.com > > > START 20.0 PAR-FORMULA FILE================================ > > Midget_Squid { ; time=0:10:24.07--SF5 on a p200 > reset=2002 type=formula formulafile=allinone.frm > formulaname=MandelbrotMix4 function=ident passes=1 > center-mag=-3.18686290593923700/-0.012918240803433\ > 52/9.031838e+011/1/-110.25/0.31625297457531909 > params=4/-0.1/0.4/2/0/0 float=y maxiter=1200 > inside=0 logmap=209 periodicity=10 > colors=0000Ki0Mh0Og0Qf0Se0Ud0Wc0Yb0_a0a`4c_6eY8gWA\ > iUBjSDlQFnTGoWIqZKsaLudNwgPxjQvmRtgRpbTkXXfSWaMWYH\ > YUB`P6`E1YE3YE5_E7bE9dEBfEDhEFkEHnEJqELtENvDRvFQtH\ > QrIQpKQnMQlNQjPQgRQeSQcUQaWQ_XQYZQW_QZ`Sa`Uc`WfaYh\ > a_kaanbcpbesbgubivcdvd`veWvfSvfNwgJwhEwiAwj5wj1c_A\ > e`Jg`Ri`Tk`Um`Ti`SdaS_aRVbRQbQLcPGcPBdO6dO8fP9gQAh\ > QCiRDjREkSFlTHnTIoUJpUKqVMrWNsWOtXPuXUt_Ytaascesei\ > rhmrjqqluqnyqpypkyogyobynZymVymQylMylItjLohOkgQfeT\ > acVYbYT`_OZbKYdFWgBViJYhQ_gYafddelfdshdoh`khXghUch\ > Q_hMWhJShFOhBKh8Gh4Ch1Ib7OYDUTJ_OOeJUkE_q9dnDakH_i\ > LYfPVdTTaXR_`OXdMVgKXcIY`H_YG`UFbREcOCeLBfHAhE9iB8\ > j87kB9lEAmHBmKCnNEoQFoTGpWHqZJqaKrdLsgMsjNpiMniOmi\ > RliUkhXjc_iZbhUegPhfKkeFndAqc5tb6qc7nc8kc9hc8hc8ic\ > 8jc8kc7lc7md7oe7qf6sg6uh6wi6yj6zkGzlPzmQznQzoRzpRz\ > qRzrSzsSztTzuTzvTzwVzxWzyXzzXzzYzzZzzZzz_zz`zz`zzY\ > zzVzzTzzQzzOzzLzzIzzGzzqz } > > 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================================== > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint > ________________________________________________________________ GET INTERNET ACCESS FROM JUNO! Juno offers FREE or PREMIUM Internet access for less! Join Juno today! For your FREE software, visit: http://dl.www.juno.com/get/web/.

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Piclab
by Tim Wegner 10 Jul '02

10 Jul '02

I just got the following email from Gary Osborn. REAL old timer fractint users will remember "Stone Souper" Lee Crocker and the Piclab program. BTW, Lee maintains a page at www.piclab.com. <<quote>> If you still have any interest in the piclab image processing program then I have recently converted it to a 32-bit Windows program. It is finally free of the DOS memory limitations. It can be downloaded from www.s-4.com/download. This image shows some of the new capabilites of the program. <<unquote>> Tim

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FOTD 10-07-02 (Midget Squid [6])
by Jim Muth 10 Jul '02

10 Jul '02

FOTD -- July 10, 2002 (Rating 6) Fractal visionaries and enthusiasts: In the depths of the world's oceans lurks the giant squid, so far unseen while alive and known only from dead specimens washed up on beaches or dredged up in fishing nets. In the depths of the world's fractals lurks the midget squid, neither alive nor dead and known only by a whimsical name given in a moment of fancy. For some strange reason, while viewing today's image, I was reminded of a squid. (I thought I saw suckers.) Since the size of the features in the image is in the sub-atomic range, I named the picture "Midget Squid". It's a pretty ordinary formula that generates the image -- 4(Z^(-0.1))+0.4(Z^2)+C -- a formula that generates a moth-eaten parent fractal with more curious nooks and crannies to explore than a fractalist can shake his iterations at. In today's case, I chose the vague 'East Valley' appearing area of the parent to investigate. I got quite far down before the signs of the tiny midget finally appeared. Because of its less-than-expert coloring, the image rates a 5 or a 6. Feeling generous, I rated it a 6. A better way of rating the FOTD images might be to have the viewers decide. I've been thinking about such a system for some time. Perhaps I'll decide about the ratings when the FOTD-CD is ready. The parameter file's render time of 10 minutes is a bit slow for today's busy world. Time can be saved by downloading the finished GIF image from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Tuesday was once again hotter than a far-cracker. But in the early evening the temperature of 99F 37C was knocked down to 72F 22C by a whopper of a thunder-storm, which sent the intrepid duo of house-cats scurrying for cover and kept them hidden until 10pm. Today promises to be less hot, but before I can enjoy the milder conditions, I must finish some work. And before I can finish, I must start. So until the next FOTD on July 12, take care and be ready for anything. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Midget_Squid { ; time=0:10:24.07--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-3.18686290593923700/-0.012918240803433\ 52/9.031838e+011/1/-110.25/0.31625297457531909 params=4/-0.1/0.4/2/0/0 float=y maxiter=1200 inside=0 logmap=209 periodicity=10 colors=0000Ki0Mh0Og0Qf0Se0Ud0Wc0Yb0_a0a`4c_6eY8gWA\ iUBjSDlQFnTGoWIqZKsaLudNwgPxjQvmRtgRpbTkXXfSWaMWYH\ YUB`P6`E1YE3YE5_E7bE9dEBfEDhEFkEHnEJqELtENvDRvFQtH\ QrIQpKQnMQlNQjPQgRQeSQcUQaWQ_XQYZQW_QZ`Sa`Uc`WfaYh\ a_kaanbcpbesbgubivcdvd`veWvfSvfNwgJwhEwiAwj5wj1c_A\ e`Jg`Ri`Tk`Um`Ti`SdaS_aRVbRQbQLcPGcPBdO6dO8fP9gQAh\ QCiRDjREkSFlTHnTIoUJpUKqVMrWNsWOtXPuXUt_Ytaascesei\ rhmrjqqluqnyqpypkyogyobynZymVymQylMylItjLohOkgQfeT\ acVYbYT`_OZbKYdFWgBViJYhQ_gYafddelfdshdoh`khXghUch\ Q_hMWhJShFOhBKh8Gh4Ch1Ib7OYDUTJ_OOeJUkE_q9dnDakH_i\ LYfPVdTTaXR_`OXdMVgKXcIY`H_YG`UFbREcOCeLBfHAhE9iB8\ j87kB9lEAmHBmKCnNEoQFoTGpWHqZJqaKrdLsgMsjNpiMniOmi\ RliUkhXjc_iZbhUegPhfKkeFndAqc5tb6qc7nc8kc9hc8hc8ic\ 8jc8kc7lc7md7oe7qf6sg6uh6wi6yj6zkGzlPzmQznQzoRzpRz\ qRzrSzsSztTzuTzvTzwVzxWzyXzzXzzYzzZzzZzz_zz`zz`zzY\ zzVzzTzzQzzOzzLzzIzzGzzqz } 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==================================

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FOTD 08-07-02 (A Blue Creation [7])
by Jim Muth 08 Jul '02

08 Jul '02

FOTD -- July 08, 2002 (Rating 7) Fractal visionaries and enthusiasts: Fractals are infinite -- which is why they are called fractals. They are infinite in many ways. But what is infinity. At one time I thought that infinity was the largest possible number. Somewhat later, I realized that if infinity were the largest number, that number could be represented by the letter X and increased by any desired amount by adding another number to it as in X+Y=Z. Of course, the new number represented by Z could be given the same treatment, and the process continued forever, demonstrating that no largest number exists. Infinity is not a number, it is a condition -- the condition of being without limit. This condition is quite easy to see in a case such as a toy train track arranged in a circle. The track has no limit, and a toy train running along it will travel a trip without a limit. As a basic concept, infinity is easy to understand. Paradoxes arise however when we begin asking meaningless questions about infinity. The toy train going in a circle is a simple concept, but if we ask how many circuits of the track will the train eventually make if nothing ever stops it and nothing wears out, or how many days will the train continue running before it comes to the end of the line, we find ourselves faced with questions without answers. In our everyday lives we ask such questions, often without realizing it. Questions about the beginning and end of time and space are puzzling for the same reason that questions involving the end of the toy-train line are puzzling -- we are trying to introduce into our intuitive world-view something that does not exist. I admit that it is fun to wonder about what happened 'before' the 'big-bang', (if the bang itself actually happened), but being able to perceive time intuitively only as an infinite straight line with no imaginable beginning or end, I know that I will never find an answer that appears intuitively correct. And speaking of infinity, today's fractal contains infinite detail, an infinitesimal part of which appears in today's image. I named the scene "A Blue Creation", though I have not decided whether I created it when I entered the parameters, or merely discovered it. Regardless of its origin, the image rates a 7, which makes it almost worth the 6 minutes required to render it from the parameter file. As always, the completed image is available on Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and on Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Sunday here at Fractal Central was smoky. Smoke from forest fires in Canada blew in on north winds and gave us a day with a dull grey sky and visibility of less than 1km. The smell of burning timber was quite noticeable, which may be why the dynamic duo remained outdoors only a few minutes. The temperature of 81F 27C was quite pleasant but hard to enjoy with the smoke totally obscuring the sun. If I'm lucky, I'll get done the things that need to be done, and have enough time left over to enjoy part of the afternoon. But before I hope to finish, I must begin. Until next time on July 10, take care, and before we can know the truth we must know the question. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ A_Blue_Creation { ; time=0:06:15.52--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.164418403483855/-0.00416714065635447\ /4.784102e+008/1/-7.5/-1.34769670230433514e-005 params=1.75/0.8/0.175/-8/0/0 float=y maxiter=750 inside=0 logmap=111 periodicity=10 colors=0000005E46D38B0990z0zr0nl0hc0`W3ZQ6YJ9YBDY5\ J_4K`4Lb4Oa3Pb3Qc3Rd2Se2Tf2Ug0Vh0Wj0Xl0Ym0Xq0Vt3St\ 5Op9KkBIfEHcKHbKIYKJUQKRTLPWMLZNJaOGdMEfMBiQFjTIkV\ KnZMo`PpcTsfVtiYul_xoayqezthzxjzzlzzozypzvqztszptz\ nuzkvyhxyexxcyx_zvYzuVzuRztPztMzhflYzVTxPPvJKuDGs6\ Bq08p0Bk0Fh3Jd6M_AQWEUTIYPL`KQdGUhDYk8`o4ds0hv0kq3\ jn8ijEheJfaPeZUeUZdQdcMiaIo`Et_Ay_FscKlePhhUajZYlc\ RphMslGuqBxv5zz0zx2xu3tt3oq4ko4fn5ck5Zi6Vh6Qe8Mc8I\ a9E_99YA5WA2`DAdEJiFRlI_qJhuKpyLxsIynEzhBzc8zZ5zYA\ vYFpYKjYPdYTZTVaPWeLYhG_kD`o9aqFWtLQuQKxWEy`8zf2zk\ 0zl3zn8xoDuoIqpMoqRlqWis`ftedtjavk_xkZykYzkWzkVznV\ ypVysVxuVxvVvyVuzVuzVtzVtzVazeLzo4zy3xv2qu0ks0eq0_\ o0Un0Ok0JjfJihGkhFlhEnhDohAqh9sh8th6u`DsVJqPPoJVnD\ `l6fj0li0sh6piIniTkjcijnfjkjaioUjqkqxuyzzxzzxzxxzu\ vzsvzpvznuzjuzhuzetzctz`tzZtzWkzUdzTYzQQzPIzOAzL3z\ K0zJ0zG0zF0zE0zB2zA3z93z8 } 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==================================

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Fairly Gratuitous
by Morgan L. Owens 06 Jul '02

06 Jul '02

Okay, I'll confess. I did the par for the sake of using the title. What interest it has is based on watching it render (this is why I recommend a resolution of 1600x1200: at other resolutions the aliasing effects are different and not the ones I tuned the viewing box for). Watching the rendering, one might see (at least, if one is as sick and twisted as I am) the aliasing as something the title might be alluding to. Another allusion is the fact that the formula derives from the classic Liar Paradox (in the form "Statement 1: Statement 2 is true. Statement 2: Statement 1 is false") via Fuzzy Logic and Scientific American. Chuck Ebbert's Liar1 attack on this problem appears in fractint.frm. I had also written the same formula prior to its inclusion in fractint.frm, but to give the user something to do I parameterised the bailout - in effect, allowing a certain amount of inconsistency to remain in the final result. More lies. It was almost inevitable that p1 would be replaced by pixel to produce what's called below "ChaoticDualist1M". But as I suggested, the title came first and then the par to suit. It had been sitting around on my harddrive until today, when I bethought to dig it up, tweak it, and post it. In short (hurray!), I'm using this whole thing as an excuse to reuse the title of a story by Greg Egan that appeared ten years ago this month in Interzone magazine. Otherwise I probably wouldn't have bothered. Morgan L. Owens "Hey, I marked Galileo's tenth anniversary here, and the twentieth of the Mandelbrot Set's discovery..." UnstableOrbits { ; Unstable Orbits in the Space of Lies ; Best viewed at 1600x1200 ; Greg Egan, Interzone #61, July 1992 ; Version 2001 Patchlevel 8 reset=2001 type=formula formulafile=logic.frm formulaname=chaoticdualist1m passes=d center-mag=0.67703/0.67703/0.589404/1/44.999 float=y maxiter=16 inside=atan outside=255 periodicity=0 colors=000JG2<24>OG2PG2PG2PG2PG2<2>QH4RI5RJ6SK7TK8<46>vusvvtwvu<3>zzz030\ <9>010010000<6>000000000<52>1E01E02F0<87>JG2 } frm:ChaoticDualist1M{ bailout=pixel z=pixel: x=real(z) y=imag(z) z=1-abs(x-y)+flip(1-abs(x+y-1)) |z|<=|bailout|}

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