From: owner-fractint-digest@lists.xmission.com (fractint-digest) To: fractint-digest@lists.xmission.com Subject: fractint-digest V1 #444 Reply-To: fractint-digest Sender: owner-fractint-digest@lists.xmission.com Errors-To: owner-fractint-digest@lists.xmission.com Precedence: bulk fractint-digest Sunday, February 6 2000 Volume 01 : Number 444 ---------------------------------------------------------------------- Date: Thu, 03 Feb 2000 09:37:48 +0000 From: "Kirsteen Duncan " Subject: (fractint) Newton basin Hello, I would like to create my own formula that is based on the algorithm newtbasin for finding the roots of z^3 - z. The pixels should be coloured according to which root the iterates converge to. How do I code this colouring of the pixels? Kirsteen. - -------------------------------------------------------------- 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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Thu, 3 Feb 2000 09:27:22 -0200 From: "Fernando Henrique Bresslau" Subject: Re: (fractint) FRACTINT animators Some time ago I had some problem with an early version of partobat, and Nick Grasso pointed me to this address: http://www.hajoweber.de/download/program/partob35.zip Itīs working. Fernando __________________________________________________ Do You Yahoo!? Talk to your friends online with Yahoo! Messenger. http://im.yahoo.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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Thu, 3 Feb 2000 11:36:02 -0500 From: dukay@interlog.com Subject: Re: (fractint) FRACTINT animators > I used to have a quirkly little program that produced > batch files to render animated sequences using fractint-produced > gif files as input. try boxtop sofware's home page and get gifanimatot - -------------------------------------------------------------- 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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Thu, 3 Feb 2000 13:44:06 -0300 From: "Fliguer, Miguel" Subject: RE: (fractint) New galleries This message is in MIME format. Since your mail reader does not understand this format, some or all of this message may not be legible. - ------_=_NextPart_001_01BF6E65.E3057080 Content-Type: text/plain; charset="iso-8859-1" >>>> I'm glad of reading (on the recent mail from Tim) that you >>>> requested some specific features to be included in patch 6 >>>> for Fractint v20. I'm hoping to see the resultant marvels >>>> on a future Fractint gallery on your site. >> >> Check out the examples included in fradev.zip. >> >> Cheers, >> >> - Sylvie I got fradev.zip. Coming from you, of course I was expecting some cool and interesting pictures, but I was not prepared for the stuff in Lake.par... Thanks for the commented formula !!! Miguel - ------_=_NextPart_001_01BF6E65.E3057080 Content-Type: text/html; charset="iso-8859-1" RE: (fractint) New galleries

>>>> I'm glad of reading (on the recent mail from Tim) that you
>>>> requested some specific features to be included in patch 6
>>>> for Fractint v20. I'm hoping to see the resultant marvels
>>>> on a future Fractint gallery on your site.
>>
>>  Check out the examples included in fradev.zip.
>>
>>  Cheers,
>>
>>        - Sylvie

I got fradev.zip. Coming from you, of course I was
expecting some cool and interesting pictures, but I
was not prepared for the stuff in Lake.par... Thanks
for the commented formula !!!

Miguel


- ------_=_NextPart_001_01BF6E65.E3057080-- - -------------------------------------------------------------- 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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Thu, 03 Feb 2000 23:08:20 -0500 From: "Damien M. Jones" Subject: Re: (fractint) FRACTINT animators Larry, - I used to have a quirkly little program that produced - batch files to render animated sequences using fractint-produced - gif files as input. I believe I have this program, but I can't locate all the included files for it. However, Spanky appears to have a later version, called FAE: http://spanky.triumf.ca/pub/fractals/programs/IBMPC/FAE210B.ZIP This should be what you're looking for. Damien M. Jones \\ dmj@fractalus.com \\ Fractalus Galleries & Info: \\ http://www.fractalus.com/ Please do not post my e-mail address on a web site or in a newsgroup. Thank you. - -------------------------------------------------------------- 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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 4 Feb 2000 01:10:11 -0500 (EST) From: Jim Muth Subject: (fractint) FOTD, 04-02-00 (Lente Loco) (c) FOTD -- February 04, 2000 Fractal enthusiasts and visionaries: When I saw today's fractal midget, I thought how crazy the coloring is. Right then and there I named the picture "Lente Loco". The image results from adding a tiny bit of Z^3 to Z^2 then adding C. The parameter file is rather slow, making a download of the image the better choice. That image can be found at: and also at: The fractal weather was cloudy and cold today, with a few flurries of snow and a temperature of 30F (-1C) that kept the fractal cats Thomas and Tippy indoors. Yours truly, the fractalist, had good intentions about describing in today's FOTD the fourth of the six regular 4-D hypersolids. But due to a virus bug of some sort that has left me with almost no energy, I'll have to put it off until tomorrow, and humbly seek forgiveness for my tardiness. Until then, take care, and never give up fractaling. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Lente_Loco { ; time=0:22:35.30 SF5 on a p200 ; Version 2000 Patchlevel 6 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+17.07411975465249/+28.9178069806534600/4\ 05929.1/1/-90 params=2/2/0.03/3/-0.993/100000 float=y maxiter=6000 bailout=25 inside=0 logmap=213 symmetry=none periodicity=10 colors=0009DG9DI<4>OINRJP<3>bQTeSUhUVkWXmXY<4>sWctWd\ uWe<3>yWi<3>e`Y`aVWbS<3>DfG<33>5BC5AC59C<3>45C02D<10\ >aV8dX7h_7<2>rf5ui5yj3<34>nofnognoh<2>mokmollmi<6>ha\ Ph`MgZJ<2>fUAeS7dS2<20>sDQtCSuBT<2>w9Wx9XyAZxB_xC`yD\ azEb<17>zWczXczYc<5>zaczaczbc<42>zcc } 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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Thu, 03 Feb 2000 03:34:54 +0500 From: Abhishek Roy Subject: (fractint) FOTD(A Dazzling Midget) The image was simply beautiful. More than makes up for a lot of mediocre ones.. :-) Really, I think you ought to mark the good ones with a '*' indicating that it well worth the wait on a slow computer (for those without usenet access). Thank you Abhishek Roy - -------------------------------------------------------------- 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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 4 Feb 2000 18:16:11 -0000 From: "stuart marshall" Subject: Re: (fractint) New galleries This is a multi-part message in MIME format. - ------=_NextPart_000_0087_01BF6F3B.EA38AE40 Content-Type: text/plain; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable RE: (fractint) New galleriesBEAUTIFUL work!!!! Stuart Marshall Tel: (+44)0208 368 0206 http://freespace.virgin.net/stuart.marshall99 =20 ----- Original Message -----=20 From: Fliguer, Miguel=20 To: 'fractint@lists.xmission.com'=20 Sent: Wednesday, February 02, 2000 3:41 PM Subject: RE: (fractint) New galleries >>> I just added three galleries to my site (#19, 20, and 21) for a = total of=20 >>>30 new images. I've also updated my UF formulas and parameters = files.=20 >>> =20 >>> =20 >>> - Sylvie=20 As always, your images are simply incredible !!!=20 Gnarl01 and mship10 are some of the best spirals I ever=20 seen in my life.=20 I'm glad of reading (on the recent mail from Tim) that you=20 requested some specific features to be included in patch 6=20 for Fractint v20. I'm hoping to see the resultant marvels=20 on a future Fractint gallery on your site.=20 Regards,=20 Miguel Fliguer - Buenos Aires, Argentina=20 http://members.xoom.com/fliguer/franktal.html=20 - ------=_NextPart_000_0087_01BF6F3B.EA38AE40 Content-Type: text/html; charset="iso-8859-1" Content-Transfer-Encoding: quoted-printable RE: (fractint) New galleries
BEAUTIFUL work!!!!
 
Stuart Marshall
Tel: (+44)0208 368 0206
http://freespace.v= irgin.net/stuart.marshall99
 
----- Original Message -----
From:=20 Fliguer, Miguel
To: 'fractint@lists.xmission.com' =
Sent: Wednesday, February 02, = 2000 3:41=20 PM
Subject: RE: (fractint) New=20 galleries

>>>  I just added three galleries to = my site=20 (#19, 20, and 21) for a total of
>>>30 new=20 images.  I've also updated my UF formulas and parameters = files.=20
>>> <snip snip snip> =
>>>    <http://www.fractalus.com/sylvie/homepage.htm>=20
>>>        -=20 Sylvie

As always, your images are simply incredible = !!!=20
Gnarl01 and mship10 are some of the best spirals I = ever=20
seen in my life.

I'm glad of reading (on the recent mail from Tim) = that you=20
requested some specific features to be = included in=20 patch 6
for Fractint v20. I'm hoping to see = the=20 resultant marvels
on a future Fractint = gallery on your=20 site.

Regards,
Miguel Fliguer - = Buenos=20 Aires, Argentina
http://members.xoom.com/fliguer/franktal.html =

- ------=_NextPart_000_0087_01BF6F3B.EA38AE40-- - -------------------------------------------------------------- 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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 4 Feb 2000 16:17:42 -0200 From: "Fernando Henrique Bresslau" Subject: (fractint) Color cycling problem with patch 6 Hi. I deicided to try writing some formulas, and did two very silly ones. Nothing specila, but I zoomed in a bit in one of them. The strange thing was that I couldnīt cycle the colors anymore. Is it a problem with fractint or does it have anything to do with my formula (although I cnaīt imagine why). I saved the parameters and the formula and restarted fractint, calculated the image again, and the problem is still there. Iīm sending the pars to see if anybody can reproduce the problem. I didnīt try with version 20.0 (itīs zipped somewhere in the dark places of my pc), only with version 20.0.6. Yes, that was it. Fernando __________________________________________________ Do You Yahoo!? Talk to your friends online with Yahoo! Messenger. http://im.yahoo.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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Fri, 04 Feb 2000 21:19:11 -0600 From: Tim Wegner Subject: (fractint) Mandel lake Here is the Sylvie Gallet's par/frm file included with the developer's version of fractint. This won't work with version 20.0, you need 20.0.6. The images are quite different than anything fractint has done before. Note the variables center, magxmag, and rotskew. These are new predefined constants that hold the center/mag zoom coordinates. Tim ; ; This file requires fractint 20.0.6 or later ; frm:Mandel_lake { ; Sylvie Gallet, Jan 16, 2000 ; ; p1: Julia seed ; real part of p2: bailout value ; imag part of p2: 0 = lake transform disabled ; any value between 0 and 100: water level in % of ; the screen height (0 = bottom, 100 = top) ; real part of p3: amplitude of the wave (try 0.2) ; imag part of p3: frequency (try 300) ; This formula uses the new predefined variables: ; center = (x , y) ; magxmag = (mag, xmagfactor) ; rotskew = (rot, skew) bailout = real(p2) ; Lake transformation ; ------------------- if (imag(p2) > 0 && imag(p2) <= 100) level = imag(p2) / 100 ; water level ampl = real(p3) ; amplitude of the wave freq = imag(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)) ; The complex numbers u and v are defined as follow: ; u = bottom_right_corner - bottom_left_corner ; v = top_left_corner - bottom_left_corner u = 2 * w * exp_irot v = 2 * h * (tanskew + flip(1)) * exp_irot ; Bottom_left_corner: z3rd = center + (-w-h*tanskew - flip(h)) * exp_irot z = pixel - z3rd ; solves the equation z = a*u + b*v which is equivalent to the system: ; re_z = a * re_u + b * re_v ; im_z = a * im_u + b * im_v ; the solution (a,b) is: ; | re_z re_v | | re_u re_z | ; | im_z im_v | | im_u im_z | ; a = --------------- b = --------------- ; | re_u re_v | | re_u re_v | ; | im_u im_v | | im_u im_v | ; ; Only b is used and 0 <= b <= 1 ; b = 0 <==> pixel at the bottom of the screen ; b = 1 <==> pixel at the top of the screen ; ; Since the formula parser uses complex numbers, I thought the ; easiest way to calculate b was: b = imag(conj(u)*z) / imag(conj(u)*v) ; the heart of the lake transform: if (b <= level) dy = level - b z = z + 2*dy * (1+ampl*sin(freq*dy^0.2)) * v endif z = z + z3rd else z = pixel endif ; Classic mandel/julia formula if (ismand) c = z else c = p1 endif : z = z*z + c |z| <= bailout } mandel_lake_01 { ; . t= 0:00:02.86 ; Copyright Sylvie Gallet, Jan 16, 2000 ; ; t=calc time using a PII 300 at 320 x 200 ; Version 2000 Patchlevel 6 reset=2000 type=formula formulafile=_lake.frm formulaname=mandel_lake ismand=y passes=1 center-mag=-0.444738/0/0.6666671 params=0/0/512/40/0.3/200 float=y inside=atan outside=real decomp=256 cyclerange=0/255 sound=off colors=GXf<3>DTcCSbCRa<3>AO_AN_9MZ<4>5HV4GU3FT<3>0CQ<32>mqso\ rtpsu<2>uwwvxxvxx<2>uyytyytxy<29>esydsydsy<2>brybqzbox<24>fM\ XfLWgJV<3>eFQdEPbDO<6>S6GR5FP4EN3DL2CK1BJ0A<23>DSaDTbDUcCVdC\ WeBXf<3>Aak9blCcm<7>Ymr`nrbps<3>nuuqvvtxwvywyzx<30>WnrVnrUnr\ <3>RkqRkpQjp<5>LdkKcjJbiJaiI_hIZhHYg } mandel_lake_02 { ; . t= 0:00:02.58 ; Copyright Sylvie Gallet, Jan 16, 2000 ; ; t=calc time using a PII 300 at 320 x 200 ; Version 2000 Patchlevel 6 reset=2000 type=formula formulafile=_lake.frm formulaname=mandel_lake ismand=y passes=1 center-mag=-0.5/0.135678/0.6666667 params=0/0/1024/45/0.3/300 float=y maxiter=300 inside=0 decomp=256 cyclerange=0/255 sound=off colors=ELL<35>W``W``Xaa<6>Zbb_cc_cc`dd`dd<45>wwwwwwxxx<2>yyy\ yyyxxx<120>3CC3CC2BB<2>0AA0AA1BB<24>DLL } mandel_lake_03 { ; . t= 0:00:02.80 ; Copyright Sylvie Gallet, Jan 16, 2000 ; ; t=calc time using a PII 300 at 320 x 200 ; Version 2000 Patchlevel 6 reset=2000 type=formula formulafile=_lake.frm formulaname=mandel_lake ismand=y passes=1 center-mag=-1.2699/-0.168032/36.72672/1/-32.5/30.396 params=0/0/4/40/0.3/200 float=y maxiter=300 inside=0 decomp=256 cyclerange=0/255 sound=off colors=ELL<35>W``W``Xaa<6>Zbb_cc_cc`dd`dd<45>wwwwwwxxx<2>yyy\ yyyxxx<120>3CC3CC2BB<2>0AA0AA1BB<24>DLL } mandel_lake_04 { ; . t= 0:00:01.59 ; Copyright Sylvie Gallet, Jan 16, 2000 ; ; t=calc time using a PII 300 at 320 x 200 ; Version 2000 Patchlevel 6 reset=2000 type=formula formulafile=_lake.frm formulaname=mandel_lake ismand=n passes=1 center-mag=0/0.331658/0.6666667 params=0.3322884012539185/-0.03768844221105527/2/40/0.3/200 float=y maxiter=300 inside=0 decomp=256 cyclerange=0/255 sound=off colors=ELL<35>W``W``Xaa<6>Zbb_cc_cc`dd`dd<45>wwwwwwxxx<2>yyy\ yyyxxx<120>3CC3CC2BB<2>0AA0AA1BB<24>DLL } - -------------------------------------------------------------- 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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Sat, 5 Feb 2000 01:39:52 -0500 (EST) From: Jim Muth Subject: (fractint) FOTD, 05-02-00 (Art Nouveau Midget) (c) FOTD -- February 05, 2000 Fractal enthusiasts and visionaries: I named today's fractal picture "Art Nouveau Midget" because it reminds me of the curvilinear art style that was popular around the turn of the last century. It is the third in the present series of spectacular midgets. How long can I keep the streak going? I haven't the slightest idea, since the quality of the FOTD images is largely a matter of good luck in searching. The formula behind the image is Z^(-1.05)-Z^(1.05)+C, an expression that I entered on a whim and examined with more intuition than logic. The parameter file runs in under four minutes -- still slow enough to make the download preferable. That download can be found at: and at: Happy downloading . . . The fractal weather today was cloudy with off and on flurries of snow, amounting to about 1cm. The temperature of 36F kept the cats indoors. Our friend Percy Smedley is still puzzling over that four-dimen- sional figure painted into the surface volume of his west wall. The object, if that word can be applied to a 4-D thing, is the fourth of the six regular 4-D polytopes. The monstrous thing consists of 24 octahedral cells, 96 triangular faces, 96 edges and 24 vertices. The three dimensional projection, which resembles an octahedron filled with a network of distorted octahedra, is too complex to describe in detail. To form the figure, a hypercube must be inscribed in a hypersphere, and then the centers of the eight cubical cells of the hypercube must be projected onto the hypersphere. The 16 vertices of the hypercube plus the projections of the centers of the eight cells of the hypercube form a network of 24 points on the hypersphere. These 24 points are the vertices of the 24-tope, the icosatetratope, the fourth of the six regular 4-D hypersolid polytopes. Curiously, this method also produces a regular figure in two- dimensional space, where it results in an octagon, but in three- dimensional space as well as all spaces higher than four the figure that results is not regular. Having decorated four walls of his room, Percy is still not yet finished, for he has two more walls to decorate -- the in wall and the out wall. He will decorate his in wall with a picture of a hecatonicosatope, which I will make a brave but futile effort to describe next time. Until that next time, take care, and don't try to visualize the fourth dimension -- it's not a visual thing. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Art_Nouveau_Midget { ; time=0:03:48.66 SF5 on P200 ; Version 2000 Patchlevel 6 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-3.415040480289464/-2.498805152893876/240\ 7.815/1/-127.499 params=1/-1.05/-1/1.05/0/1000 float=y maxiter=2500 bailout=25 inside=0 logmap=55 symmetry=none periodicity=10 colors=000szm<6>QZpMVpIRp<3>2Cq<3>e5Lo3Dx25<6>_73W83\ T93<3>FB3<3>Q90OF3<3>J_CIeEHjHGqJFzLFqJFlHFeFFVE<2>F\ 99<15>ma7pc7rd7<3>zk7<16>IUGGTGDSH<3>3OI<10>Z_Wa`Xda\ Z<3>oeb<3>hi_fj_dkZclZalY_mYYlX<2>TcV<3>McTLcTJcSHcS\ GcREcRCeQBfQ<2>CkLDmJDmm<3>EbmF`mFYmFWmGTn<2>GMwHNz<\ 15>MPzMQzMQz<2>NQzNQzPPz<12>nIzpIzrHztHzvGzxGzyHz<4>\ zJzzJzzJzzKzzKz<5>zPzzQzzRzzSzzTz<37>zUz } 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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Sat, 5 Feb 2000 04:50:17 -0500 From: Sylvie Gallet Subject: RE: (fractint) New galleries Hi Miguel, >> I got fradev.zip. Coming from you, of course I was = >> expecting some cool and interesting pictures, but I = >> was not prepared for the stuff in Lake.par... Thank you! Ultra Fractal users are already used to this lake transform= . = To see more lake's, check out my gallery #20. >> Thanks for the commented formula !!! You're welcome! Cheers, - Sylvie - ----------------------------------------------- E-mail: Sylvie_Gallet@CompuServe.com Web site: http://www.fractalus.com/sylvie/homepage.htm - ----------------------------------------------- = - -------------------------------------------------------------- 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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Sat, 5 Feb 2000 04:50:15 -0500 From: Sylvie Gallet Subject: Re: (fractint) New galleries Hi Stuart, >> New galleriesBEAUTIFUL work!!!! = Thanks! Cheers, - Sylvie - ----------------------------------------------- E-mail: Sylvie_Gallet@CompuServe.com Web site: http://www.fractalus.com/sylvie/homepage.htm - ----------------------------------------------- - -------------------------------------------------------------- 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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Sat, 5 Feb 2000 04:50:14 -0500 From: Sylvie Gallet Subject: (fractint) Newton basin Hi Kirsteen, >> I would like to create my own formula that is based on the algorithm >> newtbasin for finding the roots of z^3 - z. The pixels should be >> coloured according to which root the iterates converge to. How do I co= de >> this colouring of the pixels? Here is a formula that will work for any (z-p1)*(z-p2)*(z-p3) =3D 0 equation. In your case, the roots are 0, 1, and -1. I've added the par for the "standard" z^3-1 =3D 0 equation (the roots are 1, -0.5 + i*sqrt(3)/2, and= - -0.5 - i*sqrt(3)/2), along with the par using the built-in newtbasin type= . z3_newtbasin { ; Written by Sylvie Gallet for Kirsteen Duncan ; February 5, 2000 ; ; Newtbasin for (z-p1) * (z-p2) * (z-p3) ; Use periodicity=3D0 and outside=3Dreal ; y =3D pixel , z =3D stop =3D 0 iter =3D 0 : num =3D (y-p1)*(y-p2)*(y-p3) den =3D 3*sqr(y) - 2*(p1+p2+p3)*y + (p1*p2 + p1*p3 + p2*p3) y =3D y - num / den if (cabs(y-p1) <=3D 0.001) z =3D 0 , stop =3D 1 elseif (cabs(y-p2) <=3D 0.001) z =3D 1 , stop =3D 1 elseif (cabs(y-p3) <=3D 0.001) z =3D 2 , stop =3D 1 endif if (stop =3D=3D 1) z =3D z - iter - 7 endif iter =3D iter + 1 stop =3D=3D 0 } Newt_basin_z3-1 { ; . t=3D 0:00:03= .46 ; Copyright Sylvie Gallet, Feb 05, 2000 ; ; t=3Dcalc time using a PII 300 at 320 x 200 reset=3D2000 type=3Dformula formulafile=3D_newtbas.frm formulaname=3Dz3_newtbasin passes=3D1 center-mag=3D0/0/0.6666667 params=3D1/0/-0.5/0.8660254037844/-0.5/-0.8660254037844 float=3Dy outside=3Dreal periodicity=3D0 sound=3Doff colors=3D00000e0e0wWe000<250>000 } Newt_basin_z3-z { ; . t=3D 0:00:02= .80 ; Copyright Sylvie Gallet, Feb 05, 2000 ; ; t=3Dcalc time using a PII 300 at 320 x 200 reset=3D2000 type=3Dformula formulafile=3D_newtbas.frm formulaname=3Dz3_newtbasin passes=3D1 center-mag=3D0/0/0.6666667 params=3D0/0/1/0/-1/0 float=3Dy outside=3Dreal periodicity=3D0 sound=3D= off colors=3D00000e0e0wWe000<250>000 } built-in_newtbasin { ; . t=3D 0:00:00= .77 ; Copyright Sylvie Gallet, Feb 05, 2000 ; ; t=3Dcalc time using a PII 300 at 320 x 200 reset=3D2000 type=3Dnewtbasin passes=3D1 center-mag=3D0/0/0.6666667 params=3D3/0 float=3Dy periodicity=3D0 sound=3Doff colors=3D00000e0e0wWe000<250>000 } Cheers, - Sylvie - -------------------------------------------------------------- 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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Sat, 5 Feb 2000 11:58:06 +0100 From: "Jean-Pierre Louvet" Subject: (fractint) Links to update? Hi all, I am very grateful because many of you have included links to my pages in your sites. Walking from sites to sites, I see that most of the links to my page are outdated but you are too numerous and I can't send a mail to everybody. I know that it is difficult to update links in real time. If you have some time to do it, can you update with the URL which is below or adapt it if you refer only to one of my pages? (only the server and the directory have changed for a few months; the names of the pages are identical). Many thanks. - ------------------------------------------------------------------------- J.P. Louvet | Phone : (33)05-56-84-58-35 IUT Universite Bordeaux 1 | 33405 Talence CEDEX France | email : louvet@hse.iuta.u-bordeaux.fr - ------------------------------------------------------------------------- Fractales sur serveur Web Universite Bordeaux I : http://www.cribx1.u-bordeaux.fr/fractals/ - ------------------------------------------------------------------------- - -------------------------------------------------------------- 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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Sun, 6 Feb 2000 01:53:26 -0500 (EST) From: Jim Muth Subject: (fractint) FOTD, 06-02-00 (The Midget Sizzles [6]) (c) FOTD -- February 06, 2000 -- Rating (6) Fractal enthusiasts and visionaries: Starting today I will rate my Fractal of the Day efforts on a zero-to-ten scale, and include the rating in the FOTD header. By doing this I will give the fractalists who are pressed for time a chance to decide if in my opinion the image is worth the effort it will take to view it. It will also give the FOTD readers a chance to see how my opinion of my own work compares with their opinion of my work. Most fractals will rate some- where in the center of the scale. It's unlikely that I'll ever achieve a rating of 10, and hopefully I'll never deserve a zero. Today's fractal, for example, I will rate a six, which means I consider today's image to be just a little above average. The scale is roughly as follows: 0 -- Totally worthless 1 -- Very poor 2 -- Much below average 3 -- Below average 4 -- A little below average 5 -- Average 6 -- A little above average 7 -- Above average 8 -- Much above average 9 -- Outstanding 10 -- The best of all time Today's midget fairly sizzles with energy, so I named the picture "The Midget Sizzles". The formula combines portions of Z^(-2.3) and Z^(-4.5). The negative exponents of the formula are apparent in the spotty nature of the features of the image, which lies at the tip of the negative tail of a far larger midget in the parent fractal. The seven minutes required to render the scene from the parameter file make a download the wiser choice. And that download can be found as always at: and at: The fractal weather was settled, with bright sun and a temperature of 34F (1C) that was too cold for the fractal cats, who have a serious case of cabin fever. Our 4-D friend P. Smedley has already decorated the north, south, east and west walls of his room. The ceiling overhead needs no decoration, and the floor beneath him is covered with wall-to-wall-to-wall carpet, but he still has two blank walls yet to decorate -- the in wall and the out wall. After much thought, he decides to decorate the in wall with a picture of the fifth of the six regular four-dimensional polytopes, a hecatonicosatope. The hecatonicosatope is a regular four-dimensional figure bounded by 120 dodecahedra, 4 at each vertex, 3 at each edge, 2 at each face. Its 3-D projection is a dodecahedron with a smaller dodecahedron at the center. In the exceedingly complex network between the two dodecahedra are found 118 deformed dodecahedra, as well as icosidodecahedra and the soccer-ball figures composed of hexagons and pentagons. At this point words fail me, but there is still one wall of Percy's room that needs decorating and one 4-D regular hypersolid yet to go. In tomorrow's FOTD I'll try to describe the hexacosioitope. I see it's time to shut down the fractal shoppe until tomorrow. Until then, take care, and be carefree. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ The_Midget_Sizzles { ; time=0:07:06.44, SF5 on a P200 ; Version 2000 Patchlevel 6 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.596045340321022/+1.077568366875516/8.1\ 13245e+009/1/134.999 params=-1.2/-2.3/-3.4/-4.5/0/0 float=y maxiter=1500 bailout=25 inside=0 logmap=126 symmetry=none periodicity=10 colors=000Crb9rb<8>7PM7LK6II<3>65B<6>_UAcYAh`A<3>xnA\ <6>kRLiNMgKO<3>`7T<2>Bu_<5>Zlhbjifik<3>ucp<5>_SiWQgT\ Of<3>FGb<3>ipH<8>ku8kv7kv6<2>kx3kx3it7<4>`dMZ`PXYS<3\ >QLc<9>VF`WE`WE`<3>YC_<3>SFQRFOCLO<3>BKHBKFAKD<3>AK7\ <8>JGMKGNLFP<2>OEUOEVQGU<3>YMU_NU`OU<9>eVSfVRfWR<3>h\ YR<2>Nfq<3>CKo<3>PPkSQjWRi<3>gVf<7>XaXVbWUcV<3>PgR<3\ >_kNalMdmL<2>kpI9qr<3>JukLviOwhQxfSye<3>azZczXfzWhzU\ jzTyzv<6>izjgzhdzf<3>Xz`<3>Dza8za3za<2>2zRPze<2>Fzc } 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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Sun, 6 Feb 2000 15:57:35 -0500 From: Sylvie Gallet Subject: (fractint) Yet another gallery Hi All, I just added a new gallery (#22) to my site along with 6 images in gallery #19. Enjoy! - Sylvie - ----------------------------------------------- E-mail: Sylvie_Gallet@CompuServe.com Web site: http://www.fractalus.com/sylvie/homepage.htm - ----------------------------------------------- - -------------------------------------------------------------- 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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ Date: Mon, 7 Feb 2000 00:50:21 -0500 (EST) From: Jim Muth Subject: (fractint) FOTD, 07-02-00 (Erin [5]) (c) FOTD -- February 07, 2000 (Rating 5) Fractal enthusiasts and visionaries: Today's lush green fractal reminds me of a hypothetical scene on the Emerald Isle. I named it "Erin" accordingly. The midget is part of the fractal that results when the formula - -1*(0.1Z^2)+Z^(-3.2))+C is iterated. The blocky elements reveal that a negative power of Z appears in the formula. This fractal rates an honest 5 on my own rating scale, a small comedown from the recent days' efforts. But then this is not Lake Wobegon, and only half the images can be above average. However, tomorrow is only 24 hours away, and the number of fractals is transfinite, and the odds are 50 percent that tomorrow's FOTD will be above average. The parameter file runs in under 2 minutes, about the same length of time it will take to get connected and download the image from: or from: The fractal weather was much improved today, as a bright sun and temperature of 35F (1.5C) knocked a few centimeters off the depth of the snow pack. But it was still too chilly for the fractal cats to venture out of doors. When I last checked with our friend P. Smedley, he was still working on the in-wall of his four-dimensional room, which is directly opposite the out-wall. On the out-wall he painted a picture of a hecatonicosatope, a regular four-dimensional hypersolid bounded by 120 dodecahedron cells, 720 pentagonal faces, 1200 edges, and 600 vertices. Mr. Smedley became curious when he noticed that the sixth and last of the four-dimensional figures, the hexacosioitope, is bounded by 600 tetrahedron cells, 1200 triangular faces, 720 edges, and 120 vertices. The numbers of elements are in exactly the opposite order of those of the figure on the opposite wall. Then it struck him -- the two polytopes are reciprocal to each other, just as are the cube and octahedron, and the dodecahedron and icosahedron of our familiar 3-space. The centers of the 120 cells of the hecatonicosatope mark the 120 vertices of the hexacosioitope, and the reciprocal relation is also true. I'll further describe the last 4-D figure tomorrow, when Smedley finishes his illustration; but for now, the fractal cats, who have not the slightest interest in the fourth dimension, are worrying me for their evening snack. Until next time, take care, and if the fourth dimension is impossible to visualize, why does the math work so well? Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Erin { ; time=0:01:53.36, SF5 on a P200 ; Version 2000 Patchlevel 6 reset=2000 type=formula formulafile=multirot.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.10137360356864030/+0.00702471705816389\ /1.185873e+008/1/-17.499 params=0.1/2/1/-3.2/-2/1000 float=y maxiter=1200 bailout=25 inside=0 symmetry=none periodicity=10 colors=000KXX<3>S1b<2>VChVFjUMh<3>RmaRt`iWU<3>dNJcLG\ bJE<3>r3ns0tgXWFc4<3>9WB8UD7SE<3>5I84G64E5KK6<3>wc9z\ h9ItU<5>JkaKicKhd<3>KbidTWhgTlvRghXPYe7Om<5>CRbDS`DS\ _<2>GUUGUTJXW<4>WgiZil`kn<3>jty<7>gflgdjgbi<3>fXc<3>\ QgfMifHlg<3>1vi<3>XtWdtTktQ<3>eqncptbpz<2>EYk<3>C__C\ _XC_U<3>B`IXiGqrF<3>oZQnUSnPVnLX<3>OViHYlB_o<3>9Qe9N\ b9L`9JZ<3>TNNYOLbPI<3>uT7<7>RbHNcIJeJ<3>4iNCgO<3>gkR\ olSwmS<6>upcuqeuqg<2>uslusmstkqtjpuiZuVnvg<3>hxbgxae\ y`<3>_zWuzLVzw<3>XzlXziYzg<3>ZzXVzpXzhYzaczH<7>`zP`z\ Q_zR<3>ZzVGzFqz7DzRGzTIzV } 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@swbell.net Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------ End of fractint-digest V1 #444 ******************************