From: owner-fractint-digest@lists.xmission.com (fractint-digest) To: fractint-digest@lists.xmission.com Subject: fractint-digest V1 #246 Reply-To: fractint-digest Sender: owner-fractint-digest@lists.xmission.com Errors-To: owner-fractint-digest@lists.xmission.com Precedence: bulk fractint-digest Wednesday, July 1 1998 Volume 01 : Number 246 ---------------------------------------------------------------------- Date: Tue, 30 Jun 1998 16:57:40 +1200 From: "Morgan L. Owens" Subject: Re: (fractint) Posing a M'brot Problem! At 20:19 29/06/98 -0700, Bud wrote: >At 10:56 PM 6/29/98 -0400, you wrote: >>I pose the following problem on the properties of the Mandelbrot Set: >>... >> Is there some way of determining this direction of a filament... > >Based on the years I have spent poking around the M-set, >and unless I am mistaken, the "head" (pointy end) of the >midgets always point away from the main lake. > >Bud > Sounds plausible to me; it certainly matches my experience - especially since the main M-set is the only one (that I've seen) that _doesn't_ have a filament working its way up the cardioid. Counterexamples welcome! Morgan - -------------------------------------------------------------- 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 29 Jun 1998 22:28:03 -0700 From: Ray Montgomery Subject: (fractint) Facing which way? Hi! An earlier exchange on the list between Lee Skinner and Mark Christenson referred to the direction that the little (mini) brots faced, away or toward the main lake, and Mark thought they were all facing away. Coincidentally with the above exchange I happened across this little parade of brots - and one or the other of two of them is, or was, confused - - and possibly a mixed up couple in the middle were not sure which way they were supposed to be facing so they sort of stretched out a little here and a little there. Anyway, I thought the coincidence was interesting and the question provocative and the conclusion - non-existant. I've dropped these two pars on the list. One, Brot's Gold Shores was the first image, and the second, Wrong Way Brot, was just another zoom in, till I spotted that the two brots were facing each other - or vice versa - or whatever. The guy on the right seems a little the worse for wear. Don't know what happened to him. The Wrong Way Brot is the area of the Gold Shores just to the left of the right hand large brot. You should be able to see that, I guess, without my telling you. A Beacham map was used for both of them. I'd be interested in hearing a reaction to the above. Brot's_Gold_Shores { ; Frima219-024 ; 6/29/98 ; elmont ; from FrimA28-011 reset=1960 type=formula formulafile=fractint.frm formulaname=Jm_03a function=sin/sqr/sinh/cosh center-mag=+0.80110138650000010/-0.00001668930000000/77.49005/0.9995 params=1.25/0.95 colors=000MMs<2>JJlIIjHHgGGd<2>CCWBBS99P88L66H55D33A226210110<3>HD3KG4OJ\ 4RL5VO6<2>dW8gY9i_9<2>peArfAthBviBwjB<4>zsKzqIzoFylCykC<2>uhBsgBqeAodAmb\ 9<3>bU7_S7WP6<2>MH4IE3EB2A82751202000<6>I6LL7ON8QP8T<3>XBaZCc_Cd<3>dEjeE\ keEkfElgHliKlkOl<2>gHleEkdEj<2>aDe_CdZCbXB`VAZ<3>N7PK6NI6KF5HD4F<3>20330\ 0<5>Q55U55X66_77<3>k99m99pAArAAsBBuBBwBBxCCyCCyCC<2>zMM<2>yCC<2>uBBtBBrA\ ApAA<2>i99f88c77`77Y66<5>C22811400000120251<5>BN5CP6ES7FU7GX8<3>KdALeAMg\ BMhBNiB<2>OlC<2>YlM<2>OlC<3>MhBLfALeAKcAJa9<2>GW8ET7DR6CO6AL5<4>37124100\ 1002<5>99PBBSCCWDDZFFa<2>IIjJJlKKoLLqMMs<3>OOxOOyQQySSyUUzSSzQQzOOy<3>MM\ t } Wrong_Way_Brot? { ; Frima219-025 ; 6/29/98 ; elmont ; from FrimA28-011 reset=1960 type=formula formulafile=fractint.frm formulaname=Jm_03a function=sin/sqr/sinh/cosh center-mag=+0.80589020250000000/-0.00001096725500000/778.3445/0.9995 params=1.25/0.95 colors=000MMs<2>JJlIIjHHgGGd<2>CCWBBS99P88L66H55D33A226210110<3>HD3KG4OJ\ 4RL5VO6<2>dW8gY9i_9<2>peArfAthBviBwjB<4>zsKzqIzoFylCykC<2>uhBsgBqeAodAmb\ 9<3>bU7_S7WP6<2>MH4IE3EB2A82751202000<6>I6LL7ON8QP8T<3>XBaZCc_Cd<3>dEjeE\ keEkfElgHliKlkOl<2>gHleEkdEj<2>aDe_CdZCbXB`VAZ<3>N7PK6NI6KF5HD4F<3>20330\ 0<5>Q55U55X66_77<3>k99m99pAArAAsBBuBBwBBxCCyCCyCC<2>zMM<2>yCC<2>uBBtBBrA\ ApAA<2>i99f88c77`77Y66<5>C22811400000120251<5>BN5CP6ES7FU7GX8<3>KdALeAMg\ BMhBNiB<2>OlC<2>YlM<2>OlC<3>MhBLfALeAKcAJa9<2>GW8ET7DR6CO6AL5<4>37124100\ 1002<5>99PBBSCCWDDZFFa<2>IIjJJlKKoLLqMMs<3>OOxOOyQQySSyUUzSSzQQzOOy<3>MM\ t } Goodnight! Ray - -------------------------------------------------------------- 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 30 Jun 1998 02:30:13 -0400 From: Lee Skinner Subject: (fractint) Posing a M'br Bud, You may be right. And a good technique if you are in seahorse valley. B= ut unfortunately, your observation doesn't help at all with the images that I'm currently working with. These are midgets near (but not on) the far western spike of the m-set. Out here, the midgets are as plentiful as anywhere else, but hidden very deep down. All I can see are x's (which look like filament crossings, but aren't really). (I see no midgets at al= l except possibly one at the center of my image.) At the center of each x = is a midget. I would have to pick out 8 such x's on the 8 similar filaments= , and search each for the eventually appearing midget. However, to see these midgets, I would have to zoom each successively 1= 0, 15, or 20 times at maximum zoom. In the intervening magnifications, the filaments would bifurcate and circle around so many times that it would b= e almost impossible to determine which one was finally entering the "fanny"= of the eventual midget. It would be easier and faster to zoom outward! Lee - -------------------------------------------------------------- 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 30 Jun 1998 03:37:14 EDT From: Subject: Re: (fractint) Posing a M'br As the Wise Cartman once asked: "Why is it, that everything today has to do with things going in and coming out of my [fanny]?!" oh man is that sophomoric of me, please flame the address, not the list ;) Excommunicatus Potentia, Chris - -------------------------------------------------------------- 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 30 Jun 1998 04:24:13 EDT From: Subject: (fractint) 6 Pars from Gallet 3-02 What a rush! - I set out to explore one of Sylvie Gallet's formulas and stayed up most of the night fishing out all sorts of fractal objects and designs. Lots of fun - thanks, Sylvie! Here are 6 pars. Enjoy! 8< - -----------------------------------------------------------------------------> 8 Blue_Buddha {;Sitting Buddha - used blues.map. ;Image (c)1998 by Mark Aksoy, maksoy@aol.com ;From a formula by Sylvie Gallet, 1996. ; Calc. time on a P90 at 640x480 = 0:00:42.46 reset=1960 type=formula formulafile=*.frm formulaname=Gallet-3-02 function=cotan/atan center-mag=1.30586/1.27122/0.5523976/1/-135 params=1/2/2/1 float=y inside=bof61 outside=atan decomp=256 colors=000000<29>00k00m01m<29>0ky0mz1mz<30>zzz<46>2zz0zz0yz<45>02z00z00y\ <59>002000000 } Winged_Apparition {;Resembles a Chinese dragon. ;Image (c)1998 by Mark Aksoy, maksoy@aol.com ;From a formula by Sylvie Gallet, 1996. ; Calc. time on a P90 at 640x480 = 0:05:41.25 reset=1960 type=formula formulafile=*.frm formulaname=Gallet-3-02 function=tan/exp center-mag=0.180433/0.179116/0.5145443/1/44.999 params=2/2/2/1 float=y inside=bof61 outside=atan decomp=256 colors=000333000<15>z00<15>000<15>0zz<15>000<15>00z<15>000<15>zz0<15>000\ <15>0z0<15>000<15>z0z<14>40400K<15>zzz<14>44N000<15>WWW<12>555 } Jaystripe_Buddha {;Sitting Buddha - used jstripe.map for "3D" look. ;Image (c)1998 by Mark Aksoy, maksoy@aol.com ;From a formula by Sylvie Gallet, 1996. ; Calc. time on a P90 at 640x480 = 0:00:43.23 reset=1960 type=formula formulafile=*.frm formulaname=Gallet-3-02 function=cotan/atan center-mag=1.28673/1.23809/0.5637762/1/-135 params=1/2/2/1 float=y inside=bof61 outside=atan decomp=256 colors=00zhhh00iiii00jjjj00jjjj00kkkk00llll00mmmm00nnnn00oooo00oooo00ppp\ p00qqqq00rrrr00ssss00tttt00tttt00uuuu00vvvv00wwww00xxxx00yyyy00zzzzzzz00\ zyyy00yxxx00xwww00wvvv00vttt00tsss00srrr00rqqq00qppp00onnn00nmmm00mlll00\ lkkk00jjjj00ihhh00hggg00gfff00eeee00dccc00cbbb00baaa00a```00____00ZYYY00\ YXXX00XWWW00VVVV00UUUU00TSSS00SRRR00QQQQ00PPPP00OOOO00NMMM00LLLL00KKKK00\ JJJJ00IHHH00HGGG00FFFF00EEEE00DDDD00CBBB00AAAA00999900888800777700555500\ 4444003333002222000<3>00111100222200333300444400555500555500666600777700\ 888800999900AAAA00AAAA00BBBB00CCCC00DDDD00EEEE00FFFF00FFFF00GGGG00HHHH00\ IIII00JJJJ00KKKK00LLLL00LLLL00MMMM00NNNN00OOOO00PPPP00QQQQ00QQQQ00RRRR00\ SSSS00TTTT00UUUU00VVVV00VVVV00WWWW00XXXX00YYYY00ZZZZ00____00____00````00\ aaaa00bbbb00cccc00dddd00eeee00eeee00ffff00gggg00h } Colored_Tiling {;Geometric elegance with bold color transitions. ;Image (c)1998 by Mark Aksoy, maksoy@aol.com ;From a formula by Sylvie Gallet, 1996. ; Calc. time on a P90 at 640x480 = 0:00:35.26 reset=1960 type=formula formulafile=*.frm formulaname=Gallet-3-02 function=cotan/sin center-mag=0.0122938/0.0296794/0.1494174/1/-135 params=2/2/2/1 float=y inside=bof61 outside=atan decomp=256 colors=0000B0<12>0z0<15>000<15>z0z<14>40400K<15>zzz<14>44N000<15>WWW<14>\ 000<15>z00<15>000<15>0zz<15>000<15>00z<15>000<15>zz0<15>000030070 } SecretCompartments {;Underneath the geometric elegance: handy storage spaces! ;Image (c)1998 by Mark Aksoy, maksoy@aol.com ;From a formula by Sylvie Gallet, 1996. ; Calc. time on a P90 at 640x480 = 0:00:34.88 reset=1960 type=formula formulafile=*.frm formulaname=Gallet-3-02 function=cotan/sin center-mag=0.0122938/0.0296794/0.1494174/1/-135 params=2/2/2/1 float=y inside=bof61 outside=atan decomp=256 colors=00zzzz00zyyy00yxxx00xwww00wvvv00vttt00tsss00srrr00rqqq00qppp00onn\ n00nmmm00mlll00lkkk00jjjj00ihhh00hggg00gfff00eeee00dccc00cbbb00baaa00a``\ `00____00ZYYY00YXXX00XWWW00VVVV00UUUU00TSSS00SRRR00QQQQ00PPPP00OOOO00NMM\ M00LLLL00KKKK00JJJJ00IHHH00HGGG00FFFF00EEEE00DDDD00CBBB00AAAA00999900888\ 8007777005555004444003333002222000<3>00111100222200333300444400555500555\ 500666600777700888800999900AAAA00AAAA00BBBB00CCCC00DDDD00EEEE00FFFF00FFF\ F00GGGG00HHHH00IIII00JJJJ00KKKK00LLLL00LLLL00MMMM00NNNN00OOOO00PPPP00QQQ\ Q00QQQQ00RRRR00SSSS00TTTT00UUUU00VVVV00VVVV00WWWW00XXXX00YYYY00ZZZZ00___\ _00____00````00aaaa00bbbb00cccc00dddd00eeee00eeee00ffff00gggg00hhhh00iii\ i00jjjj00jjjj00kkkk00llll00mmmm00nnnn00oooo00oooo00pppp00qqqq00rrrr00sss\ s00tttt00tttt00uuuu00vvvv00wwww00xxxx00yyyy00zzzz } Radiation_Suit {;Front view of man(?) in a radiation suit. ;Image (c)1998 by Mark Aksoy, maksoy@aol.com ;From a formula by Sylvie Gallet, 1996. ; Calc. time on a P90 at 640x480 = 0:00:44.71 reset=1960 type=formula formulafile=*.frm formulaname=Gallet-3-02 function=tan/cosxx center-mag=-0.44036/-0.442801/0.8192408/1/-135 params=2/2/2/1 float=y inside=bof61 outside=atan decomp=256 colors=00000K<15>zzz<14>44N000<15>WWW<14>000<15>z00<15>000<15>0zz<15>000\ <15>00z<15>000<15>zz0<15>000<15>0z0<15>000<15>z0z<14>404 } frm:Gallet-3-02 { ; Sylvie Gallet [101324,3444], 1996 z = pixel : x = real(z) , y = imag(z) x1 = x - p1*fn1(y+p2*fn2(y)) y1 = y - p1*fn1(x+p2*fn2(x)) z = x1+flip(y1) |z| <= 4} ****************************************************************************** ****************** Mark Aksoy, maksoy@aol.com http://members.aol.com/maksoy/vistfrac/vistfrac.htm (site #35 on the Infinite Fractal Loop). http://members.aol.com/fractasy/fractasy.htm Why does my landscape keep printing out sideways? ****************************************************************************** ****************** - -------------------------------------------------------------- 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 30 Jun 1998 12:21:35 -0400 From: Lee Skinner Subject: (fractint) Facing which Ray, >>The Wrong Way Brot is the area of the Gold Shores just to the left of t= he right hand large brot. I'd be interested in hearing a reaction to the above.<< Your example is from the Jm_03a formula. I was referring strictly to the= Mandelbrot set (type=3Dmandel) with parameters set to /0/0/0/0. Buddha-l= ike midgets occur in many fractal types, not all of which share connectivity and other properties. Lee - -------------------------------------------------------------- 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 30 Jun 1998 19:34:02 +0200 From: "Aldo Calpini" Subject: Re: (fractint) ICQ Number list - Rev.5 pls add: Aldo Calpini - #3093078 - 'dada' Bye, Aldo Calpini "Out the 10Base-T, through the router, down the T1, over the leased line, off the bridge, past the firewall, ...nothing but Net." -- (Author unknown) - -------------------------------------------------------------- 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 30 Jun 1998 19:34:02 +0200 From: "Aldo Calpini" Subject: Re: (fractint) ICQ Number list - Rev.5 pls add: Aldo Calpini - #3093078 - 'dada' Bye, Aldo Calpini "Out the 10Base-T, through the router, down the T1, over the leased line, off the bridge, past the firewall, ...nothing but Net." -- (Author unknown) - -------------------------------------------------------------- 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 30 Jun 1998 14:20:43 +0200 From: "Kim Bach Petersen" Subject: (fractint) par Another mandellake - what makes it worth a look is it's surroundings... Enjoy, Kim. ======== mandelake { ; a lake with nice surroundings reset=1960 type=mandel passes=2 center-mag=-0.09703580287875599/+0.65263705627389850/2.09204e+007/1/124.\ 999 params=0/0 float=y maxiter=20000 logmap=64 colors=CCC2jW0bb0Sh0Eq03x60t<6>z00z60<6>zy0tz0<4>Hz0Ex5<4>0gZ0Ye0Nk0Eq03\ x60t<6>z00z60<6>zy0tz0<4>Hz0Ex5<4>0gZ0Sh0Jn08u20x<6>v04z20<5>zm0zu0xz0<3\ >Tz0Lz0Fy2<4>2jW0bb0Sh0Jn08u20x<6>v04z20<5>zm0zu0xz0<3>Tz0Lz0Fy2<4>2jW0b\ b0Sh0Eq03x60t<6>z00z60<6>zy0tz0<4>Hz0Ex5<4>0gZ0Ye0Nk0Eq03x60t<6>z00z60<6\ >zy0tz0<4>Hz0Ex5<4>0gZ<2>0Jn08u20x<6>v04z20<5>zm0zu0xz0<3>Tz0Lz0Fy2<4>2j\ W0bb0Sh0Jn08u20x<6>v04z20<5>zm0zu0xz0<3>Tz0Lz0Fy2<3>4mQ } mandelake2 { ; same lake in magnification reset=1950 type=mandel passes=2 center-mag=-0.09703580179264795/+0.65263705782502150/1.216303e+008/1/102\ .499 params=0/0 float=y maxiter=40000 logmap=1750 colors=CCC2jW0bb0Sh0Eq03x60t<6>z00z60<6>zy0tz0<4>Hz0Ex5<4>0gZ0Ye0Nk0Eq03\ x60t<6>z00z60<6>zy0tz0<4>Hz0Ex5<4>0gZ0Sh0Jn08u20x<6>v04z20<5>zm0zu0xz0<3\ >Tz0Lz0Fy2<4>2jW0bb0Sh0Jn08u20x<6>v04z20<5>zm0zu0xz0<3>Tz0Lz0Fy2<4>2jW0b\ b0Sh0Eq03x60t<6>z00z60<6>zy0tz0<4>Hz0Ex5<4>0gZ0Ye0Nk0Eq03x60t<6>z00z60<6\ >zy0tz0<4>Hz0Ex5<4>0gZ<2>0Jn08u20x<6>v04z20<5>zm0zu0xz0<3>Tz0Lz0Fy2<4>2j\ W0bb0Sh0Jn08u20x<6>v04z20<5>zm0zu0xz0<3>Tz0Lz0Fy2<3>4mQ } ======== - -------------------------------------------------------------- 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 30 Jun 1998 17:10:12 EDT From: Subject: Re: (fractint) Facing which How do you enter all of those parameters at the end of your e mails into 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 30 Jun 1998 17:00:06 -0500 From: "Paul N. Lee" Subject: Re: (fractint) Facing which Fishkill96@aol.com wrote: > > How do you enter all of those parameters at the > end of your e mails into fractint? > Try some of the following: The iFAQ (collected topics from the list) — http://home.san.rr.com/jayrhill/iFAQ/iFAQ.html Help for FractInt Discussion List newcomers!! (Wizzle) — http://wizzle.simplenet.com/fractals/hints/fractint_list_q&a.htm - ------------------------------------------------- Why do most folks hate cynics so much? Because we're almost always right. - ------------------------------------------------- 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 30 Jun 1998 21:21:50 +0100 From: "Les St Clair" Subject: Re: (fractint) 7 pars (mandel(fnIIfn)) Hi Linda, >>I couldn't get the overkill series to run. You'll be pleased to know that they ran fine for me, so watch out for the June compilation :) Meanwhile, try these quickies...(p.s. I'm amazed at what can be produced from just 12 iterations!) cheers, Les FRM:OK-12 {; TRY FN1 = SQR, FN2 = SQR z = c = pixel: z = fn1(z) + c; z = fn2(z) / c, |z| <= (5 + p1) ;SOURCE: overkill.frm } LesOK001 { ; "Silhouette" t= 0:02:01.00 ; t=calc time [h:mm:ss.] using a PII-266 at 1600x1200 ; (c) 1998 by Les St Clair [Par date: Jun 30, 1998] ; e-mail to: les_stclair@compuserve.com reset=1960 type=formula formulafile=fractint.frm formulaname=ok-12 function=exp/log passes=1 center-mag=+0.04479367968535197/-0.27952189066125890/207.9236/1/-90 params=1000/50 float=y maxiter=12 inside=bof60 outside=real decomp=256 periodicity=0 colors=000z3Az7BzAB<10>zYFz_Fz`G<7>znIzpIzrIzsIzuJzvJzxJzzKzzK000<176>00\ 3003002<11>000000100200<3>500600800<2>C00E00G00I00K00<3>U00W00Z00a00<2>i\ 00l00p00s00v00z0A } LesOK002 { ; "Sine Curve" t= 0:01:34.03 ; t=calc time [h:mm:ss.] using a PII-266 at 1600x1200 ; (c) 1998 by Les St Clair [Par date: Jun 30, 1998] ; e-mail to: les_stclair@compuserve.com reset=1960 type=formula formulafile=fractint.frm formulaname=ok-12 function=log/exp passes=1 center-mag=0.31819/-0.00315022/0.821561/1/-90 params=1000/50 float=y maxiter=12 inside=bof60 outside=real decomp=256 periodicity=0 colors=000<10>O2J<8>31a00d04f<8>0cz<7>05g00d20b<8>O2J<12>101201<8>M2HO2J\ S2H<8>z00<8>zs0zv0zs0<7>z00<9>O2J<2>K2FI2EG2DE2BD2A<5>212000000<4>D1AF1C\ H1DJ1FM2HO2JK2LK2N<6>30b00d04f<8>0cz<7>05g00d20b<8>O2J<13>000<4>A07C19D1\ 9D1AE1B<4>Y1Bb2Cf1A<4>z00<8>zs0zv0zs0<7>z00<9>O2J<13>000 } LesOK003 { ; "Golden Globule" t= 0:01:17.11 ; t=calc time [h:mm:ss.] using a PII-266 at 1600x1200 ; (c) 1998 by Les St Clair [Par date: Jun 30, 1998] ; e-mail to: les_stclair@compuserve.com reset=1960 type=formula formulafile=fractint.frm formulaname=ok-12 function=flip/flip passes=1 center-mag=-0.0881638/-0.00839419/0.7507614/1/-90 params=100/0 float=y maxiter=12 inside=bof60 outside=imag decomp=256 periodicity=0 colors=uut<14>lcIkaFj`E<6>fU7eT6eS5eS5<29>O31N20O41N20<10>Q72R82R82S93TA\ 3<14>gQ5hR5iS4<3>mW3nX2nX2nY2<6>rc0rc0rb0<4>pZ1pY1oX2nX2<11>aL4`K4ZI3<2>\ UG3SG4QF4OF5ME5<2>GC6DB7DB7<74>ssrttsttstts<12>vvtwwuwwt<9>wwgwwfwvevud<\ 6>soX } LesOK004 { ; "Pin Cushion" t= 0:01:27.32 ; t=calc time [h:mm:ss.] using a PII-266 at 1600x1200 ; (c) 1998 by Les St Clair [Par date: Jun 30, 1998] ; e-mail to: les_stclair@compuserve.com reset=1960 type=formula formulafile=fractint.frm formulaname=ok-12 function=conj/cos passes=1 center-mag=0.0483368/-0.0584579/0.3911482/1/180 params=100000000/0 float=y maxiter=12 inside=bof60 outside=imag decomp=256 periodicity=0 colors=B86<8>000zzz<9>opsmorlnrknr<12>YagW`fV_eTZeSYd<6>LRZJQYJPX<20>345\ 234122000zzz<27>nkUmkTmjSliQkhQigP<29>000zxy<39>PMLOLKNKK<20>000zzz<15>o\ jdnicmgblf`le_kdY<8>dWMcUKbUK<11>OICNHCMGBKFAJE9ID9<3>D96 cyclerange=0/255 } LesOK005 { ; "Bug" t= 0:02:28.90 ; t=calc time [h:mm:ss.] using a PII-266 at 1600x1200 ; (c) 1998 by Les St Clair [Par date: Jun 30, 1998] ; e-mail to: les_stclair@compuserve.com reset=1960 type=formula formulafile=fractint.frm formulaname=ok-12 function=sin/tan passes=1 center-mag=0.615644/0.00175867/8.180553/1/180 params=100000000/0 float=y maxiter=12 inside=bof60 outside=imag decomp=256 periodicity=0 colors=kdY<8>dWMcUKbUK<11>OICNHCMGBKFAJE9ID9<13>000zzz<9>opsmorlnrknr<12\ >YagW`fV_eTZeSYd<6>LRZJQYJPX<20>345234122000zzz<27>nkUmkTmjSliQkhQigP<29\ >000zxy<39>PMLOLKNKK<20>000zzz<15>ojdnicmgblf`le_ cyclerange=0/255 } - -------------------------------------------------------------- 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 30 Jun 1998 17:05:35 -0700 From: Mark Christenson Subject: Re: (fractint) Posing a M'br At 02:30 AM 6/30/98 -0400, you wrote: >Bud, >... > However, to see these midgets, I would have to zoom each successively 10, >15, or 20 times at maximum zoom. In the intervening magnifications, the >filaments would bifurcate and circle around so many times that it would be >almost impossible to determine which one was finally entering the "fanny" >of the eventual midget. It would be easier and faster to zoom outward! Well, here's another way. As you have probably noticed, the branch closest to the set has the "widest profile" (from one side of the filigree to the other); of course the farther zoomed in to a node you are, the less the difference. With orderer chaos running the show, I doubt you'll find a perfect solution; maybe you could write Mr. Mandelbrot or someone equally well versed (e.g. Michael Barnsley). Bud - -------------------------------------------------------------- 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 30 Jun 1998 22:36:54 -0400 From: "Jason Hine" Subject: Re: (fractint) Posing a M'brot Problem! Bud wrote: >>Based on the years I have spent poking around the M-set, >>and unless I am mistaken, the "head" (pointy end) of the >>midgets always point away from the main lake. And Morgan replied: >Sounds plausible to me; it certainly matches my experience - especially >since the main M-set is the only one (that I've seen) that _doesn't_ have a >filament working its way up the cardioid. Counterexamples welcome! Counter-example: The filaments often (more than not?) form spirals which do not contain a baby 'Brot at the center. Examples are the spirals in the seahorse valley (tight spirals), the tip of either of the two filaments extending off the period three bulb (slow spirals), or the junction of the three main filaments off the tip of the period three bulb (a very slow or 'static' spiral). The filaments forming these spirals contain evenly-spaced (if you consider a continuous zoom into the spiral) baby 'Brots along their entire length. These babies will all have the same relative angle to the tangent to the spiral at the point they are found. Thus, their orientation in regards to the main body of the Set is always changing... and since the spiral continues indefinitely, I'll bet there's an infinite number of Babies pointing in any given direction. But it sounds like Lee is asking something more specific... I'll give it another go when I return... Jason Hine - -------------------------------------------------------------- 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Tue, 30 Jun 1998 23:10:56 -0400 (EDT) From: kragen@pobox.com (Kragen) Subject: Re: (fractint) Posing a M'brot Problem! On Tue, 30 Jun 1998, Jason Hine wrote: > Counter-example: The filaments often (more than not?) form spirals which do not > contain a baby 'Brot at the center. Examples are the spirals in the seahorse > valley (tight spirals), the tip of either of the two filaments extending off the > period three bulb (slow spirals), or the junction of the three main filaments > off the tip of the period three bulb (a very slow or 'static' spiral). The > filaments forming these spirals contain evenly-spaced (if you consider a > continuous zoom into the spiral) baby 'Brots along their entire length. These > babies will all have the same relative angle to the tangent to the spiral at the > point they are found. Thus, their orientation in regards to the main body of > the Set is always changing... and since the spiral continues indefinitely, I'll > bet there's an infinite number of Babies pointing in any given direction. Hmm. Well, if you're right about this -- all the babies will have the same relative angle to the strand of the spiral they're on, no matter which strand that happens to be -- then there must be at least two ways they connect to the main set, since one of the filaments in the spiral leads to the main set, and the rest lead away from it. Kragen - -------------------------------------------------------------- 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Wed, 01 Jul 1998 16:36:50 +1200 From: "Morgan L. Owens" Subject: Re: (fractint) Posing a M'brot Problem! At 22:36 30/06/98 -0400, Jason wrote: >Bud wrote: >>>Based on the years I have spent poking around the M-set, >>>and unless I am mistaken, the "head" (pointy end) of the >>>midgets always point away from the main lake. > >And Morgan replied: >>Sounds plausible to me; it certainly matches my experience - especially >>since the main M-set is the only one (that I've seen) that _doesn't_ have a >>filament working its way up the cardioid. Counterexamples welcome! > >Counter-example: The filaments often (more than not?) form spirals which do not >contain a baby 'Brot at the center. > Ah, but Lee asks "Assume that I am looking at a midget somewhere very deep in the Mandelbrot Set." so if there's no midget at the centre then it's not a place where Lee's problem applies. What Lee is asking is which of the filaments emerging from his given midget leads back to the main M-set. (In a later post replying to Bud he's pointed out that looking at the behaviour of smaller midgets on each of the filaments to see which way they're pointing doesn't help as they are frequently too small to be seen.). Bud's conjecture, which I'm still in agreement with, is that the filament that leads from the given midget back to the main M-set is the one that emerges from the cusp of the midget's cardioid. (And I am going to restraing myself from continuing the South Park theme). >... Thus, their orientation in regards to the main body of >the Set is always changing... and since the spiral continues indefinitely, >I'll bet there's an infinite number of Babies pointing in any given direction. > Bud's phrase "midgets always point away from the main lake" refers not to direction "as the crow flies" (the argument of the coordinates of the midget) but in terms of a point constrained to moving within the set itself; in the same way that the shortest path between two points is a "straight line" even when the shortest path between London and Pudong is quite blatantly curved. Morgan - -------------------------------------------------------------- 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Wed, 1 Jul 1998 02:46:49 EDT From: Subject: (fractint) 6 pars(inandout09) I recently downloaded orgfrm.zip from Fractints homepage and it's an absolute goldmine to me! :) Here are 6 images from the inandout09.frm....with a new map! Enjoy~ Jim ************************************************************************ IO9_004 { ; 0:02:05.67 75mhz 800x600 ; 6/30/98 image(c) JamesWeaver reset=1960 type=formula formulafile=_i.frm formulaname=inandout09 function=recip/asinh passes=t center-mag=-0.100334/-3.10862e-015/0.3521127/1/-90 params=-0.85/0/25/0 float=y maxiter=25 inside=bof60 periodicity=0 colors=200zye<13>zE3A73<5>zrM<14>9ic<7>CQI3A9<3>7oj<8>NXT557<6>Wet<10>QH\ UPFRODPNBMM8JK7K<2>G1CE09D07B05A02800600A00E04J18<6>lZZjYYA88<3>eee<9>UF\ JSCGR9EP6BO39M06I03E01<2>200900G01N35UAA<9>KC2A88<3>eee<12>UN6446<4>ERcH\ WjIUh<12>W3AY07X05<2>S01Q00O00N00L00J00J00J00<3>a00<3>p1Bs1Du5Gx9IzDL<3>\ zQUzTXyWZxZ`521<9>`RH<10>CCd37F4DV5Ki7Ry<4>AJlBHiCFfDDcDCaEAZF8WA86<4>qp\ _ } IO9_005 { ; 0:02:35.00 75mhz 800x600 ; 6/30/98 image(c) JamesWeaver reset=1960 type=formula formulafile=_i.frm formulaname=inandout09 function=recip/atan passes=t center-mag=-0.0664251/-3.9968e-015/0.3632328/1/-90 params=-0.975/0/15/0 float=y maxiter=25 inside=bof60 periodicity=0 colors=200Vao<8>QHUPFRODPNBMM8JK7K<2>G1CE09D07B05A02800600A00E04J18<6>lZ\ ZjYYA88<3>eee<9>UFJSCGR9EP6BO39M06I03E01<2>200900G01N35UAA<9>KC2A88<3>ee\ e<12>UN6446<4>ERcHWjIUh<12>W3AY07X05<2>S01Q00O00N00L00J00J00J00<3>a00<3>\ p1Bs1Du5Gx9IzDL<3>zQUzTXyWZxZ`521<9>`RH<10>CCd37F4DV5Ki7Ry<4>AJlBHiCFfDD\ cDCaEAZF8WA86<5>zye<13>zE3A73<5>zrM<14>9ic<7>CQI3A9<3>7oj<8>NXT557<6>Wet\ Vcr } IO9_006 { ; 0:01:08.44 75mhz 800x600 ; 6/30/98 image(c) JamesWeaver reset=1960 type=formula formulafile=_i.frm formulaname=inandout09 function=recip/atanh passes=t center-mag=-0.391293/-1.33227e-014/0.2935215/1/-90 params=1.045/0/12/0 float=y maxiter=25 inside=bof60 periodicity=0 colors=200SBL<3>W3AY07X05<2>S01Q00O00N00L00J00J00J00<3>a00<3>p1Bs1Du5Gx9\ IzDL<3>zQUzTXyWZxZ`521<9>`RH<10>CCd37F4DV5Ki7Ry<4>AJlBHiCFfDDcDCaEAZF8WA\ 86<5>zye<13>zE3A73<5>zrM<14>9ic<7>CQI3A9<3>7oj<8>NXT557<6>Wet<10>QHUPFRO\ DPNBMM8JK7K<2>G1CE09D07B05A02800600A00E04J18<6>lZZjYYA88<3>eee<9>UFJSCGR\ 9EP6BO39M06I03E01<2>200900G01N35UAA<9>KC2A88<3>eee<12>UN6446<4>ERcHWjIUh\ <7>RDN } IO9_015 { ; 0:02:01.99 75mhz 800x600 ; 6/30/98 image(c) JamesWeaver reset=1960 type=formula formulafile=_i.frm formulaname=inandout09 function=recip/asinh passes=t center-mag=-0.519064/-1.06581e-014/0.3039292/1/-90 params=-0.85/0/25/0 float=y maxiter=25 inside=bof60 invert=1/-0.85/0 periodicity=0 colors=200L00J00J00J00<3>a00<3>p1Bs1Du5Gx9IzDL<3>zQUzTXyWZxZ`521<9>`RH<1\ 0>CCd37F4DV5Ki7Ry<4>AJlBHiCFfDDcDCaEAZF8WA86<5>zye<13>zE3A73<5>zrM<14>9i\ c<7>CQI3A9<3>7oj<8>NXT557<6>Wet<10>QHUPFRODPNBMM8JK7K<2>G1CE09D07B05A028\ 00600A00E04J18<6>lZZjYYA88<3>eee<9>UFJSCGR9EP6BO39M06I03E01<2>200900G01N\ 35UAA<9>KC2A88<3>eee<12>UN6446<4>ERcHWjIUh<12>W3AY07X05<2>S01Q00O00N00 } IO9_016 { ; 0:02:38.79 75mhz 800x600 ; 6/30/98 image(c) JamesWeaver reset=1960 type=formula formulafile=_i.frm formulaname=inandout09 function=recip/atanh passes=t center-mag=2.24724/-8.88178e-015/0.2222301/1/-90 params=1.045/0/12/0 float=y maxiter=25 inside=bof60 invert=1/0.1/0 periodicity=0 colors=200UZm<7>QHUPFRODPNBMM8JK7K<2>G1CE09D07B05A02800600A00E04J18<6>lZ\ ZjYYA88<3>eee<9>UFJSCGR9EP6BO39M06I03E01<2>200900G01N35UAA<9>KC2A88<3>ee\ e<12>UN6446<4>ERcHWjIUh<12>W3AY07X05<2>S01Q00O00N00L00J00J00J00<3>a00<3>\ p1Bs1Du5Gx9IzDL<3>zQUzTXyWZxZ`521<9>`RH<10>CCd37F4DV5Ki7Ry<4>AJlBHiCFfDD\ cDCaEAZF8WA86<5>zye<13>zE3A73<5>zrM<14>9ic<7>CQI3A9<3>7oj<8>NXT557<6>Wet\ VcrVao } IO9_017 { ; 0:02:51.09 75mhz 800x600 ; 6/30/98 image(c) JamesWeaver reset=1960 type=formula formulafile=_i.frm formulaname=inandout09 function=recip/tan passes=t center-mag=2.12685/-9.76996e-015/0.2970991/1/-90 params=1.045/0/12/0 float=y maxiter=25 inside=bof60 invert=1/0.1/0 periodicity=0 colors=200<7>Wet<10>QHUPFRODPNBMM8JK7K<2>G1CE09D07B05A02800600A00E04J18<\ 6>lZZjYYA88<3>eee<9>UFJSCGR9EP6BO39M06I03E01<2>200900G01N35UAA<9>KC2A88<\ 3>eee<12>UN6446<4>ERcHWjIUh<12>W3AY07X05<2>S01Q00O00N00L00J00J00J00<3>a0\ 0<3>p1Bs1Du5Gx9IzDL<3>zQUzTXyWZxZ`521<9>`RH<10>CCd37F4DV5Ki7Ry<4>AJlBHiC\ FfDDcDCaEAZF8WA86<5>zye<13>zE3A73<5>zrM<14>9ic<7>CQI3A9<3>7oj<8>NXT } - -------------------------------------------------------------- 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Wed, 1 Jul 1998 02:57:02 EDT From: Subject: (fractint) 6 Pars from Gallet 3-02 - Take 2 (This is a repost. Gaps appeared in the text of the original, which made it difficult to use as a workable par for Fractint). Anyway, I set out to explore one of Sylvie Gallet's formulas and stayed up most of the night fishing out all sorts of fractal objects and designs. Lots of fun - thanks, Sylvie! Here are 6 pars. Enjoy! 8< ------------------------------------------------------->8 Blue_Buddha {;Sitting Buddha - used blues.map. ;Image (c)1998 by Mark Aksoy, maksoy@aol.com ;From a formula by Sylvie Gallet,1996. ;Calc.time on a P90 at 640x480 = 0:00:42.46 reset=1960 type=formula formulafile=*.frm formulaname=Gallet-3-02 function=cotan/atan center-mag=1.30586/1.27122/0.5523976/1/-135 params=1/2/2/1 float=y inside=bof61 outside=atan decomp=256 colors=000000<29>00k00m01m<29>0ky0mz1mz<30>zzz<46>2zz0zz0yz<45>02z00z00y\ <59>002000000 } Winged_Apparition {;Resembles a Chinese dragon. ;Image (c)1998 by Mark Aksoy, maksoy@aol.com ;From a formula by Sylvie Gallet,1996. ;Calc.time on a P90 at 640x480 = 0:05:41.25 reset=1960 type=formula formulafile=*.frm formulaname=Gallet-3-02 function=tan/exp center-mag=0.180433/0.179116/0.5145443/1/44.999 params=2/2/2/1 float=y inside=bof61 outside=atan decomp=256 colors=000333000<15>z00<15>000<15>0zz<15>000<15>00z<15>000<15>zz0<15>000\ <15>0z0<15>000<15>z0z<14>40400K<15>zzz<14>44N000<15>WWW<12>555 } Jaystripe_Buddha {;Sitting Buddha: used jstripe.map for 3D look. ;Image (c)1998 by Mark Aksoy, maksoy@aol.com ;From a formula by Sylvie Gallet,1996. ;Calc.time on a P90 at 640x480 = 0:00:43.23 reset=1960 type=formula formulafile=*.frm formulaname=Gallet-3-02 function=cotan/atan center-mag=1.28673/1.23809/0.5637762/1/-135 params=1/2/2/1 float=y inside=bof61 outside=atan decomp=256 colors=00zhhh00iiii00jjjj00jjjj00kkkk00llll00mmmm00nnnn00oooo00oooo00ppp\ p00qqqq00rrrr00ssss00tttt00tttt00uuuu00vvvv00wwww00xxxx00yyyy00zzzzzzz00\ zyyy00yxxx00xwww00wvvv00vttt00tsss00srrr00rqqq00qppp00onnn00nmmm00mlll00\ lkkk00jjjj00ihhh00hggg00gfff00eeee00dccc00cbbb00baaa00a```00____00ZYYY00\ YXXX00XWWW00VVVV00UUUU00TSSS00SRRR00QQQQ00PPPP00OOOO00NMMM00LLLL00KKKK00\ JJJJ00IHHH00HGGG00FFFF00EEEE00DDDD00CBBB00AAAA00999900888800777700555500\ 4444003333002222000<3>00111100222200333300444400555500555500666600777700\ 888800999900AAAA00AAAA00BBBB00CCCC00DDDD00EEEE00FFFF00FFFF00GGGG00HHHH00\ IIII00JJJJ00KKKK00LLLL00LLLL00MMMM00NNNN00OOOO00PPPP00QQQQ00QQQQ00RRRR00\ SSSS00TTTT00UUUU00VVVV00VVVV00WWWW00XXXX00YYYY00ZZZZ00____00____00````00\ aaaa00bbbb00cccc00dddd00eeee00eeee00ffff00gggg00h } Colored_Tiling {;Geometric elegance with bold color transitions. ;Image (c)1998 by Mark Aksoy, maksoy@aol.com ;From a formula by Sylvie Gallet,1996. ;Calc.time on a P90 at 640x480 = 0:00:35.26 reset=1960 type=formula formulafile=*.frm formulaname=Gallet-3-02 function=cotan/sin center-mag=0.0122938/0.0296794/0.1494174/1/-135 params=2/2/2/1 float=y inside=bof61 outside=atan decomp=256 colors=0000B0<12>0z0<15>000<15>z0z<14>40400K<15>zzz<14>44N000<15>WWW<14>\ 000<15>z00<15>000<15>0zz<15>000<15>00z<15>000<15>zz0<15>000030070 } SecretCompartments {;Underneath the geometric elegance: storage spaces! ;Image (c)1998 by Mark Aksoy, maksoy@aol.com ;From a formula by Sylvie Gallet,1996. ;Calc.time on a P90 at 640x480 = 0:00:34.88 reset=1960 type=formula formulafile=*.frm formulaname=Gallet-3-02 function=cotan/sin center-mag=0.0122938/0.0296794/0.1494174/1/-135 params=2/2/2/1 float=y inside=bof61 outside=atan decomp=256 colors=00zzzz00zyyy00yxxx00xwww00wvvv00vttt00tsss00srrr00rqqq00qppp00onn\ n00nmmm00mlll00lkkk00jjjj00ihhh00hggg00gfff00eeee00dccc00cbbb00baaa00a``\ `00____00ZYYY00YXXX00XWWW00VVVV00UUUU00TSSS00SRRR00QQQQ00PPPP00OOOO00NMM\ M00LLLL00KKKK00JJJJ00IHHH00HGGG00FFFF00EEEE00DDDD00CBBB00AAAA00999900888\ 8007777005555004444003333002222000<3>00111100222200333300444400555500555\ 500666600777700888800999900AAAA00AAAA00BBBB00CCCC00DDDD00EEEE00FFFF00FFF\ F00GGGG00HHHH00IIII00JJJJ00KKKK00LLLL00LLLL00MMMM00NNNN00OOOO00PPPP00QQQ\ Q00QQQQ00RRRR00SSSS00TTTT00UUUU00VVVV00VVVV00WWWW00XXXX00YYYY00ZZZZ00___\ _00____00````00aaaa00bbbb00cccc00dddd00eeee00eeee00ffff00gggg00hhhh00iii\ i00jjjj00jjjj00kkkk00llll00mmmm00nnnn00oooo00oooo00pppp00qqqq00rrrr00sss\ s00tttt00tttt00uuuu00vvvv00wwww00xxxx00yyyy00zzzz } Radiation_Suit {;Front view of man(?) in a radiation suit. ;Image (c)1998 by Mark Aksoy, maksoy@aol.com ;From a formula by Sylvie Gallet,1996. ;Calc.time on a P90 at 640x480 = 0:00:44.71 reset=1960 type=formula formulafile=*.frm formulaname=Gallet-3-02 function=tan/cosxx center-mag=-0.44036/-0.442801/0.8192408/1/-135 params=2/2/2/1 float=y inside=bof61 outside=atan decomp=256 colors=00000K<15>zzz<14>44N000<15>WWW<14>000<15>z00<15>000<15>0zz<15>000\ <15>00z<15>000<15>zz0<15>000<15>0z0<15>000<15>z0z<14>404 } frm:Gallet-3-02 { ; Sylvie Gallet [101324,3444], 1996 z = pixel : x = real(z) , y = imag(z) x1 = x - p1*fn1(y+p2*fn2(y)) y1 = y - p1*fn1(x+p2*fn2(x)) z = x1+flip(y1) |z| <= 4} ****************************************************************************** ****************** Mark Aksoy, maksoy@aol.com http://members.aol.com/maksoy/vistfrac/vistfrac.htm (site #35 on the Infinite Fractal Loop). http://members.aol.com/fractasy/fractasy.htm Why does my landscape keep printing out sideways? ****************************************************************************** ****************** - -------------------------------------------------------------- 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@phoenix.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ End of fractint-digest V1 #246 ******************************