From: "Ton Koppens" Subject: (fractint) Finally, a homepage Date: 01 May 2000 23:54:36 +0200 Hello list, I finally found the time to make the beginning of a home page. Even a small Fractint gallery is available. Expect nothing fancy, I'm just a beginner. Comments, critisism, compliments and other feedback is welcome at t.koppens@hccnet.nl Gallery is found at http://home.hccnet.nl/t.koppens/gallery.html I hope ou enjoy some of it. Greetings, Ton Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Thaddaeus Parker Subject: RE: (fractint) Finally, a homepage Date: 01 May 2000 19:42:50 -0700 Wow: Those are some excellent images. -----Original Message----- [mailto:owner-fractint@lists.xmission.com]On Behalf Of Ton Koppens Sent: Monday, May 01, 2000 2:55 PM Hello list, I finally found the time to make the beginning of a home page. Even a small Fractint gallery is available. Expect nothing fancy, I'm just a beginner. Comments, critisism, compliments and other feedback is welcome at t.koppens@hccnet.nl Gallery is found at http://home.hccnet.nl/t.koppens/gallery.html I hope ou enjoy some of it. Greetings, Ton Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD, 02-05-00 (A Seething Midget [5]) Date: 02 May 2000 00:18:18 -0400 (EDT) FOTD -- May 02, 2000 (Rating 5) Fractal visionaries and enthusiasts: Having failed last evening to achieve admission to the ranks of the multi-layer avant-garde, I returned today to my simple single-layer fractals. Using the warhorse formula MandelbrotMix4, I created a fractal by combining a negative quantity of Z^-2 with a negative quantity of Z^-1 before adding C. Then I increased the bailout radius to a full googol, which caused the resulting fractal to totally evaporate. But even when a fractal such as this evaporates, it leaves a kind of ghost, which can be made visible with the proper inside fill. Inside=bof61 does a respectable job of revealing the ghost, but I chose fmod, with a proximity value of 1. With this fill, the scene appears as the surface of a seething cauldron of boiling lead. To demonstrate the point, I named the picture "A Seething Midget". Since the scene consists totally of trapped points, and the maxiter is a relatively high 1200, the parameter file renders quite sluggishly, taking over 47 minutes on the average Pentium. But worry not, fractal friends, for Jim the merciful has thoughtfully posted the JPEG'd image to Usenet, where it may be found among the other fractals at: The image may also be found on the wonderful web at: The fractal weather today featured hazy sun and a temperature of 72F (22C), which made the fractal cats leap for joy. Conditions were also great for philosophizing, though I have not yet organized the philosophy I dreamed up today. If I get my musings in order, I'll include them tomorrow. For now, it's once again time to pack away the fractals, shut down the fractal shoppe, and call it a day. Until next time, which will be in about 24 hours, take care, and take a fractal at bedtime to aid sleep. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ A_Seething_Midget { ; time=0:47:28.49, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.45665349855346370/+0.12600483254195120\ /8.502964e+007/1/135 params=-0.5/-2/-2/-1/0/1e+100 float=y maxiter=1200 bailout=25 inside=fmod proximity=1 symmetry=none periodicity=10 colors=000dMqW9y<3>lYipcehaha_jUZlNXnFXq<9>NOgNNfOMe\ <2>QJbRIaTKZ<3>PHaPHb000NGd<13>C8nB7oA6p<2>85r74s53v\ <3>A7mB8k000000EBd<12>SODTPBUQ9<2>XT3XU0YT1<26>_BE_A\ F_AF<2>_8H_7H`4F<42>IlmHmnHno<3>FsrFusEvtExuEyuFytFx\ tGys<2>HwrHvrHtrIsqIqq<2>JmpJlpKlo<15>PajP`jQ`iQ_iQZ\ iRZh<2>OXgOWgNVgNVfMUfMVg<2>KSdKRcKRbKQbKPa<17>KBNKA\ MKAL<3>K6I000K5GK4FK3EK1FK3EK4EK00 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: davides Subject: Re: (fractint) Finally, a homepage Date: 02 May 2000 05:53:40 -0400 At 11:54 PM 5/1/2000 +0200, you wrote: Hi, >Gallery is found at http://home.hccnet.nl/t.koppens/gallery.html How do you get the water/lake effect, for instance wiuth 00021501.JPG? A very nice gallery with very good fractal images. Regards, davides@pipeline.com Back up my hard drive? How do I put it in reverse? Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: makin_mischief@webtv.net Subject: Re: (fractint) Finally, a homepage Date: 02 May 2000 04:48:53 -0700 (PDT) The fractal images look good! Decker Boyle Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Fliguer, Miguel" Subject: RE: (fractint) Finally, a homepage Date: 02 May 2000 09:40:29 -0300 davides@pipeline.com wrote : >>>How do you get the water/lake effect, for instance >>>with 00021501.JPG? The "lake" effect was introduced in Fractint v20.0.6, it is implemented by the use of some new formula variables (center, magxmag and rotskew). This feature was suggested by Sylvie, who posted a well documented .PAR a while ago. Email me if you want it. Ton, very nice pictures ! Regards, Miguel Fliguer Franktal Gallery - Shut Up and Draw Yer Fractals http://members.xoom.com/fliguer/franktal.html Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: davides Subject: RE: (fractint) Finally, a homepage Date: 02 May 2000 18:53:50 -0400 At 09:40 AM 5/2/2000 -0300, you wrote: I never have goten around to downloading v.20.0.6, having obtained v.20 only. I suspect I have Sylvie's par maybe around 1500 messages or so down line; I may take you up on your offer in the future, though. And thank you for the offer... :) >The "lake" effect was introduced in Fractint v20.0.6, >it is implemented by the use of some new formula >variables (center, magxmag and rotskew). This feature >was suggested by Sylvie, who posted a well documented >.PAR a while ago. Email me if you want it. davides@pipeline.com Back up my hard drive? How do I put it in reverse? Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD, 03-05-00 (Preseething Midget [4]) Date: 03 May 2000 00:01:44 -0400 (EDT) FOTD -- May 03, 2000 (Rating 4) Fractal visionaries and enthusiasts: Believe it or not, the rather placid midget in today's picture is the precursor of yesterday's midget, which was a rather seething one. The difference is that instead of the bailout radius of one-googol that we had in yesterday's scene, we have a bailout of a far more modest 100 in today's version. Today's picture shows the midget in its natural form, before it evaporated and was reconstituted. It's not a bad little scene, with its decorative strings of colorful fractal beads. I named the picture "Preseething Midget" as a technical description. The parameter file renders in a rather tardy 24 minutes. The JPEG image file downloads from: or from: far faster. For the third consecutive day, the weather was sunny and 72F (22C). The fractal cats once again offered their approval. The fractal philosophy is accumulating, but with a way to go before it's ready for presentation. Will tomorrow be the day it appears? How would I know? So to avoid disappointment, check back then. If no philosophy is ready, there will certainly be a new fractal. Until next time, take care and be patient. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Preseething_Midget { ; time=0:23:55.92, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.45665349851874140/+0.12600483257667360\ /8.502964e+007/1/135 params=-0.5/-2/-2/-1/0/0 float=y maxiter=1200 bailout=25 inside=0 logmap=133 symmetry=none periodicity=10 colors=000zPzxYzpfyhoyr7z<3>dQa`VWYZQUcKRgE<3>UIEmFU\ zDizHd<3>ZVLSYGL`BEzzlYeuMazBYlPTWbOFpKLtRRxXXzbazhY\ xi<3>LXj<3>OKRPHMQEHRBCR88<2>DTCZeFtrH<3>msulszFvBKx\ LOzUTzbXzkbwl<3>v_pzUqzOqzTmzYi<3>soVqtRoxO<3>ghRedS\ c`TaXU<3>TLRUUMVbHfXNWkCgoLssTzzvzv`qkZ<2>FIU<3>eVIz\ AnkYG<2>dxGbzG`uQ<2>WOsaSjVDzSMv<3>JqaHyXPrT<3>pRDwK\ 9xNF<3>yX`zZezakzcp<3>kefheddeb8RMae`<3>mYSjWXpXQvYJ\ zZD<3>WYgMXl<3>U_sW_uY`wZ`xX_y<3>RWzQVzOVz<3>SSzTRyU\ QxUQwgkd<3>brhasi`uj_vjdhkhVkpJm<3>cHf`HdYGcVGa8CcSG\ `nIX<3>dQ_aS``OU<2>Zal<2>eqVhvPjzJlzEezO<3>Efx8azsWz\ o_w<3>_o`WsVSwPJzD<3>dwaivhountttxuy<2>ypz<3>zVjzQez\ Kaq`T<4>dqq } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Ton Koppens" Subject: Re:Re: (fractint) Finally, a homepage Date: 04 May 2000 02:22:03 +0200 Thaddaeus, Davides, Decker & Miguel, Thanks!!!!! Ton Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD, 04-05-00 (Oqiophpog [4]) Date: 04 May 2000 01:14:52 -0400 (EDT) FOTD -- May 04, 2000 (Rating 4) Fractal visionaries and enthusiasts: I named today's fractal picture "Oqiophpog". Those who search carefully will discover the meaning of the name. To those who do not search, the name will remain forever a mystery. The formula behind the scene is 0.95(Z^(-1.1)-(Z^1.1))+C. Like most of my formulas (formulae) it is surprisingly simple, but it is not linear, and therefore can produce a fractal. In fact, it produces a very interesting fractal figure just beyond the northwest corner of the default screen. This figure consists of two separate Mandelbrot sets distorted in two totally different ways. I have already used this figure as the source of several FOTD's. I'll likely be using it again in the future. It's richness is beyond telling. Today's decorative spiral is but a small example of the scenes lurking in this parent fractal. The attached parameter file runs in just under 16 minutes on a modest Pentium. The download, which can be found at: and at: is far faster. The fractal weather was absolutely perfect all day, with non- stop sunshine and for the fourth consecutive day a temperature of 72F (22C), which was ideal for the fractal cats. I exhausted my philosophical energies this afternoon, writing a note to the philofractal list. But my philosophical ponderings never stay suppressed for long. So check again tomorrow. You may be surprised. Until then, take care, and if fractals didn't exist, we would have no choice but to invent them. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Oqiophpog { ; time=0:15:48.00, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-2.375301530147337/+0.7453980820324247/3.\ 011315e+009/1/-32.499 params=-1/1.1/1/-1.1/-0.05/1000 float=y maxiter=2100 bailout=25 inside=0 logmap=266 symmetry=none periodicity=10 colors=000Dnj<13>iXbkWbnVa<2>uR`wQ_zN`<7>yYVyZVy_Uxa\ TxbT<3>yiQyjPymP<2>zqNzoQznSylUwkWvhYvg_vfa<3>u_itZk\ tYm<3>sTusSwsSxsRy<3>gPqdOobOm_NjXNg<3>MHWJGTGEQDDNB\ CKFBM<3>SDUVDXZDZaE`dEbgEdhGf<17>hlohnohpp<2>hvqgxrh\ wq<7>oqiophpog<3>smd<25>PxLOxKNyK<3>JzH<3>PSNQJPRBQ<\ 9>IJiHKkGKm<3>DNt<3>_dmeikjmiprguvf<3>obSnYPlTL<2>hE\ Ag97dJKbTWb`i<16>HtNGuMFvL<3>AzGDzIFzKez`dzaczbZzT<2\ >hzy<11>OzoNznLzm<2>GzkEzjAzk } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: LeeFbx@aol.com Subject: (fractint) Mandel(fn||fn) plus Mandel_lake Date: 04 May 2000 02:33:31 EDT This is my first post so I hope everything is in the proper format. It changes the iterated part of the Mandel_lake formula to run the Mandel(fn||fn) formula. The image reminds me of the kind of magic that happens on the Sea of Cortez. -Lee Fairbanks ; ***** ***** ***** ***** BEGIN PAR FILE ***** ***** ***** ***** VermilionSea { ; by Lee Fairbanks Version 2000 Patchlevel 9 ; t = 0:02:35.44 at SF7 on a P450 reset=2000 type=formula formulaname=ManLakefnfn function=sin/sqr passes=1 center-mag=-0.44460231995307970/-0.00931963494133049/68.50907 params=0/0/4/85/0.3/200 float=y maxiter=32000 inside=0 colors=000JCz<8>Q7xR6xS6xT5wT5wU5w<5>Z2t_2t_2s`2sa1r<16>m0hn0gn0fo0ep0e<\ 9>u3Yu3Xv3W<10>y8Oy9NzAM<14>zJCzKBzLBzMAzMA<6>xS6wT5wT5wU5<5>tZ2t_2s_2s`\ 2ra1<16>hm0gn0fn0eo0ep0<9>Yu3Xu3Wv3<10>Oy8Ny9MzA<14>CzJBzKBzLAzMAzM<6>6x\ S5wT5wT5wU<5>2tZ2t_2s_2s`1ra<16>0hm0gn0fn0eo0ep<9>3Yu3Xu3Wv<10>8Oy9NyAMz\ <13>JDz } frm:ManLakefnfn { ; combines Mandel_lake by Sylvie Gallet with Mandel(fn||fn) ; function=fn1/fn2 ; p1 = Julia seed ; real(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) bailout = real(p2), shift = 0.5 ; 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 : ; (the all important colon - now iterate the following) if (z*z <= shift) z = fn1(z) + c else z = fn2(z) + c endif |z| <= bailout } ; ***** ***** ***** ***** END of PAR file ***** ***** ***** ***** Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD, 05-05-00 (Terrified Fractal [4]) Date: 05 May 2000 00:30:17 -0400 (EDT) FOTD -- May 05, 2000 (Rating 4) Fractal visionaries and enthusiasts: Today, 05-05-00, is another of those days that happen every year or so -- a day on which the world is scheduled to end. There hasn't been such a doomsday since January 1, 2000. This time the end will be caused by an alignment of the planets, which places all five naked eye planets behind the sun, located within 20 degrees or so of each other. According to the doomsayers, this alignment will put such a gravitational strain on the earth that earthquakes and tidal waves will ravage a large part of the earth's surface. Volcanoes will erupt everywhere. The places that escape these disasters will be engulfed when the Antarctic ice sheet slips into the ocean, causing the water level to rise 100 feet or so. No one is safe! Run! Run! Run for your lives! While the masses are fleeing in terror, I'll be searching for fractals. In fact, I've already started. This afternoon I found a fractal in honor of the great non-event, and named it "Terrified Fractal". To see the terror, cycle the colors of the GIF image and watch a threatening apparition appear at the center, then change and vanish. The formula that created the frightening image is number 12 in my series of 12 MandNewt formulas. This series of formulas was originally based on the Ikenaga function, though with all the variable parameters I've built into this version, I doubt that the scene being calculated has much to do with the Ikenaga function any longer. The parameter file renders in a little over 6 minutes. With a rating of 4, the image is hardly worth a 6-minute wait, but it is worth the minute or so it will take to download the JPEG file from Usenet at: or from the Web at: The fractal weather was sunny and 78F (25.5C), perfect for cats and man alike. During the few moments I was not fractaling, I philosophized about whether the real world is really real or really not real, and whether it really makes a difference. I had some interesting thoughts, though those thoughts need to be refined before I present them to the world. And now it's time to present myself to the easiest chair I can find, and watch an old sci-fi movie until sleep intervenes. I'll return tomorrow with additional interesting stuff. Until then, take care, and if 30 cents is too expensive for a fractal, how about three for one-dollar? Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Terrified_Fractal { ; time=0:06:15.40, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=mandnewt.frm formulaname=MandNewt12 passes=1 center-mag=-0.135211/-0.00835673/0.07414007/1/-90 params=-1.109/-0.476/-0.686/-0.626/-0.102/-0.243 float=y maxiter=180 bailout=25 inside=bof60 logmap=yes symmetry=none periodicity=0 colors=000M7R<3>B`B8h75o33v0<3>Tp6Zo8dn9<3>dmIdmKdlN\ <3>dlV9UzdlX<3>ZMRYGQX9PR1I<3>j7eo9kz8u<3>_DaUFXNGS<\ 2>4JETO_<8>dKJfJHgJF<3>lH7pD3<4>bVG`ZJYaL<2>QlTOoVNm\ Z<3>LgkLfnIgr<8>cRjePihNi<3>qFet7h<3>qYZqcXpjVppT<3>\ blNdvK<3>MJSIAUHGR<3>DbGChDDk8<3>9pI8rK7sM<2>4vT6sd8\ pp<9>6hX5gV5gT<3>5dMEXYNPi`9z<2>JYh9df<3>ReTVeQccN<3\ >NiNJkNFlNBnN6rO<3>7fK7dJ7aI7ZH7WG7UF<5>IZHJZHL_H<2>\ QaISbIVcF<8>K_eJ_hHZk<3>DYwFVz<3>6cx4ex2gx0ix<5>LhkO\ hiShg<3>dh_<3>HQkG2R<2>Yabchn<3>bwJbzC_xB<2>Tr8Ltw<3\ >FitLdiQ_ZglRVWP } frm:MandNewt12 {; Jim Muth z=g=pixel, a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), e=real(p3), f=imag(p3): h=z^a+(g-1)*(z-b) j=c*z^d+g z=z-e*h/(f*j), .0000000000000000000000000000005 <= |h| } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD, 06-05-00 (Hexidecimal Midget [5]) Date: 05 May 2000 23:57:39 -0400 (EDT) FOTD -- May 06, 2000 (Rating 5) Fractal visionaries and enthusiasts: Now that the Fifth of May has passed and the world is still intact, it's time to return to fractals. Being rather busy today, I didn't have as much time to devote to the fractal search as I would have liked. But I did find a midget, and a rather striking one at that. The parent fractal of today's midget is one of the most lopsided Mandelbrot sets I've yet encountered, but its gross distortions mean interesting midgets. Today's midget for example lies out near the tip of the meandering appendage that passes for a negative tail. Other even stranger midgets lurk in other strange places in this fractal. A few of these may appear as FOTD's in the days to come. My first impulse was to name the picture something like "Firestorm". But the colors are not exactly fiery, and the picture really doesn't seem stormy. I finally settled on the name "Hexidecimal Midget" because of the 16 decorative filaments radiating from the midget. The parameter file takes an even two minutes to run. The JPEG image file takes about two minutes to download and view. I leave it to the viewer to choose which way, if any, to view today's gaudy scene. If you choose to view the JPEG image, that image may be found on Usenet at: The image may also be found on the Web at: The fractal weather today was sunny and very warm, with a temperature of 90F (32C) that was a bit too hot for the cats. A few light thunder-showers are in the area this evening, but not enough to even wet the pavement. In today's sultry conditions, the philosophy once again went nowhere. I'll try again tomorrow. I see it's time to shut down the fractal shoppe and call it a night. Until next time, take care, and keep your cool when the weather gets warm. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Hexidecimal_Midget { ; time=0:02:00.02, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-4.92974271937546200/+5.88200297801364100\ /1.461438e+012/0.9997/-34.973/-0.036 params=-0.9/0.86/1/-0.86/1/1000 float=y maxiter=1500 bailout=25 inside=0 logmap=30 periodicity=10 colors=000A34<5>512411411<3>000zU5l2UeJUZ13S12L11001\ T`wWfr<2>MahP`dUZ`<2>hVUmbOzjJwaLrUNgMPcER<3>mKXpLYr\ N_uO`wPa<3>NMUELS5LQvqX<3>YkfRjiLhkFgn9fp9ct<7>IMtJK\ tKIt<3>OAt<3>Ir4<5>Lm7Ml8Mk8<3>OhAK`5GT0Le9PrI<3>dhB\ he9lc7oa6<2>jThiQthPq<4>fKffJceIa<2>dFVdFTeN_<2>eit<\ 9>KmxHmxFmx<3>7ny<5>8Qu9Lt9Hs<3>91q<3>OOqSTqWZq_cq<2\ >jtcmyc<4>pqcppcqnc<3>ricJ_wFjzCuz<3>BnrAlpAknAilAgj\ Afh<8>RrlTslVtm<3>ayn<3>wzN<3>ez_azbYze<3>OzZLzXJzW<\ 2>BzQ9zP8zN<3>7zJ6zI4z56zH<9>2z72z61z5<3>0z1Lz8<11>B\ z4 } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD, 07-05-00 (Mathematical Jewel [7]) Date: 06 May 2000 23:35:52 -0400 (EDT) FOTD -- May 07, 2000 (Rating 7) Fractal visionaries and enthusiasts: I like today's fractal. I like it so much that I decided to give it a slightly optimistic rating of 7. And it was all done with the most basic tool available -- the limited color editing ability of Fractint. I did not run the file through a separate graphic program, (though sometimes I do this), nor did I do any anti-aliasing or anti-anything-else. It goes without saying that there is but one single layer in the picture. But with a good scene, one layer is all that's needed. When I saw the finished product, I decided to honor the picture by giving it the name "Mathematical Jewel". And it certainly is a jewel of an image, with a strange brilliance beyond its mere 256 colors. The image was created by my overworked MandelbrotMix4 formula, calculating the expression 0.95*(Z^(-1.15)-(Z^1.15))+C -- another of those expressions that promises little but delivers much. The parameter file takes over 7 minutes to render on a modest P200. The JPEG'd image downloads from: or from: in less than 1/4 of the time. The fractal weather was once again very warm and sunny, with a temperature of 90F (32C), which kept the fractal cats stretched out on the carpet. But the philosophy once again went nowhere today. Maybe I'm all philosophized out; maybe it's the unseasonably warm weather. Maybe the best thing I could do would be to simply remain silent. After all, remaining silent is the least exhausting way to display one's ignorance. Could this be the end of the philosophy? Check here tomorrow to see. Until then, take care, and think deep thoughts. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Mathematical_Jewel { ; time=0:07:16.49, SF5 on a p200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-2.294751062134567/+1.455381189092795/2.7\ 83839e+008/1/99.999 params=-1/1.15/1/-1.15/-0.05/1000 float=y maxiter=1500 bailout=25 inside=0 logmap=125 symmetry=none periodicity=10 colors=000lBf<3>lBelBejAc<13>QAJOAINAG<2>IACHABFCH<3\ >AKc9Mi8Nn<4>SesWht_lu<3>nzy<6>obToZPoWK<2>oM6oJ2nIC\ <2>nHb<3>dQYaTX_VW<2>T`STcR<3>dlMgnLjpKmrJmtIjsJgrK<\ 3>PoMKnNFmNBlO<3>CiRDhRDhS<2>EeUFcUFbVF`WGZWGXX<2>HV\ ZHV_HW_<3>IZbIZcI`d<3>JbgJchJdh<3>KfkKflKfmKfnKfnKin\ <17>BhQBhOAhN<2>9hJ9hIBiJ<3>HkKJkKKlL<3>RsMSuMUwNVuN\ XsNYqNXoO<16>JYQIXQIWQ<3>FTQ<9>Zjg`libmj<3>jtq<3>ixi\ iygize<10>izLizJizH<3>izAizB<3>TzNPzQLzTHzWDzY<5>MzL\ NzIPzG<3>Uz8kzgkzf } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Ton Koppens" Subject: (fractint) Some small galleries Date: 08 May 2000 00:19:38 +0200 Hello lists, I have updated my site with some small Fractint galleries and an even smaller Ultrafractal gallery. If you can spare some time please pay a visit to: http://home.hccnet.nl/t.koppens/index.html and tell me what you think. Comments,arguments, etc. are always welcome to: t.koppens@hccnet.nl Greetings, Ton Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD, 08-05-00 (Ribbons [4]) Date: 08 May 2000 00:05:57 -0400 (EDT) FOTD -- May 08, 2000 (Rating 4) Fractal visionaries and enthusiasts: Today's fractal is a slow one, which takes almost two hours on a Pentium200. And those two hours will result in an image that is a bit below FOTD average. Therefore, the only sensible thing to do is to download the JPEG file from: or from: I named the picture "Ribbons" because one of the earlier color schemes reminded me of a pile of discarded gift-wrap ribbons. And yes, I did post-process the image in a graphic program to increase the impact of an originally bland and uninspired palette of colors. The fractal weather was sunny and very warm. The temperature of 94F (34.5C) kept the cats stretched in the shade on the cool sidewalk. The only activity from either of them came when a bird carelessly swooped too low and Tippy the tabby leaped and batted it down. Then he brought the bird to me to show what he had caught. I didn't know whether to praise or scold him. The philosophy melted in the unseasonable warmth. The little bit I did manage to find was more political griping than philosophy, so I'll have no philosophy until at least tomorrow. And there are no promises for then either. Until next time, take care, and whatever it is, do it now. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Ribbons { ; time=1:53:08.18, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+8.17050941613497800/-0.83477971397923980\ /4.437656e+008/1/-67.5 params=-1/-0.99/-1/0.99/0.1/10000 float=y maxiter=18000 bailout=25 inside=0 periodicity=10 colors=00040J60J80I90IB0GD0GD0EE0EG0DI0DJ0BL0BN19O19\ Q18R28R26T46V44X44Y62_62a81b81d80f90f90gB0iB0kB0lD0<\ 2>qE0sE0tG0tG0wG0xI0zI0zJ0zJ0zL0zL0zL0zN0<2>zO0tODlQ\ TdQgXRwQRz<2>BNzBNzBOz9Oz9Ot9Qq9Ql9Ri8Rd8Ra8TX8TT6TO\ 6VL6VG6XD<2>6Y06Y04_06Y08X08V09T0BQ0BO0DN0EL0EJ0GI1I\ E1ID2JB2L94N64O46O26Q18Q08O29O49N6BN8BL9BLBDJDDJEDIG\ EIIEGJEGLEGNGEOGEQGDRIDTIBVIBYJ9_J9aJ8bL8dL6fL6gN6iN\ 4kN4lN2nO2pO1qO1sQ0tQ0wQ0xR0zR0zT0zT0zT0zV0zV0zV0zX0\ zY2z_4z_6za9zbBxdDwdGtfIsgJqiNpiOnkQllTknVknYip_gqaf\ sddsfbtgawk_xlYxnXzqVzsTztRzxQzzOz<3>zIzzGzzGzzEz<10\ >zEzzEzzEz<2>zEzzEzzExzExzEwzEwxDwxDtwDtwDswDstDq<2>\ sDpsDpsDnqDnqDlqDlpDlpDknDknDinDilDg<2>kDfkDfiBgiDgk\ DfkEfkEdlGdlIdlIbnJbnJanLapL_pN_pOYpOYqQYqRXsRXsTViL\ 8TI0R00E0810J00T00T00R00R00Q00Q00O00O00N10N20L } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Ricardo M. Forno" Subject: RE: (fractint) Some small galleries Date: 08 May 2000 10:36:22 -0300 Tom: Astounding! I like especially Fractint's 31001 and all of the Ultrafractal images. ----- Original Message ----- Cc: Ultrafractal Mailinglist Sent: Sunday, May 07, 2000 7:19 PM > Hello lists, > > > I have updated my site with some small Fractint galleries and an even > smaller Ultrafractal gallery. > If you can spare some time please pay a visit to: > > http://home.hccnet.nl/t.koppens/index.html > > and tell me what you think. Comments,arguments, etc. are always welcome to: > > t.koppens@hccnet.nl > > Greetings, > > Ton > > > -------------------------------------------------------------- > Thanks for using Fractint, The Fractals and Fractint Discussion List > Post Message: fractint@lists.xmission.com > Get Commands: majordomo@lists.xmission.com "help" > Administrator: twegner@fractint.org > Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: JimMuth@aol.com Subject: (fractint) FOTD, 09-05-00 (Phaethon Plunges [5]) Date: 09 May 2000 01:16:55 EDT FOTD -- May 09, 2000 (Rating 5) Fractal visionaries and enthusiasts: While gazing at today's fractal, trying to find an appropriate name, my mind wandered to the world of mythology. I found myself reliving the ill-fated chariot ride of Phaethon, who was struck down by Thor's thunderbolt when his unskilled hands lost control of the chariot of the sun, which he was driving. I promptly named the picture "Phaethon Plunges". There is little in the image to justify the name. It's a run-of- the-mill scene created by the M-Mix4 formula and featuring a midget surrounded by some rather standard lumpy fractal terrain. A good part of the picture consists of bof60 inside fill. Without the fill, the scene appears very broken and eroded, almost like a swiss cheese. At just under 5 minutes, the parameter file is slow enough to make a download the more efficient way of viewing the image. That download may be found on Usenet at: and on the W.W.W. at: The weather today in fractal land was continued sunny and quite warm, with the typical summer haze and humidity making its first appearance of the season. The temperature of 92F (33C) made the normally lazy cats even lazier. Despite the enervating conditions, my philosophical muse began stirring this afternoon. The topic of my musing was the most basic of all -- science vs. religion. But it will be several days before the outburst comes. Until next time, take care, and seek if ye wish to find. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Phaethon_Plunges { ; time=0:04:40.50, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.97561207791134350/+0.04095498269518449\ /11237.49/1/105 params=1/24/-1/12/0/0 float=y maxiter=1200 bailout=25 inside=bof60 logmap=yes symmetry=none periodicity=10 colors=000niD<9>maOm`Pm_Q<2>mXTmWUlXZmWVnUKmUKnTJ<2>\ oR8<6>dLBbKB`JC<3>WFDVEDUDETCE<3>M8FK0EH9GH5HG9GGCG0\ 00GIG<3>FUFFXFE_FEbFEeFEhFCpB<4>MSVOOYQJa<3>X0p<9>f`\ OgcLhgI<3>lu7<21>ttGttGutH<2>vtIvtIxuH<14>XrJVrJTqJ<\ 3>LqJNqN<3>Cr79r36r04r0<3>As0Bt1Ct3<17>ZxO_yP`yR<2>d\ zUezVezU<13>`zE_zD_zC_zBZzAZz9Xz6<12>nzOpzPqzQ<3>vzV\ <9>xzOxzOxzN<2>xzLxzLwzKvzK<9>pzIozInzH<2>lzHlzHnz9<\ 2>nzC } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Fliguer, Miguel" Subject: (fractint) Fractint "multi-layer" PARs Date: 09 May 2000 11:22:31 -0300 Here's a couple of Fractint PARs with a "multi-layer" look. There are no fancy formulas involved, just Julias. Enjoy ! --- 2layer-1 { ; Multi-layered effect ; Just a simple julia ; by Miguel Fliguer (c) 2000 reset=2000 type=julia center-mag=-0.338028/-0.319415/3.875969 params=-0.3593114241001558/-0.6017223382045935 float=y maxiter=2000000000 sound=off colors=000P0GQ0H<11>f0Ag09h09i08k07<4>q04s04t03<2>x01z00z20<16>zh0\ zj0zm0<3>zw00NK<46>LYSMYSMZT<63>omcomcpmc<2>qndroepmd<12>HGNEDMBBK\ <3>00F<61>P0G } 2layer-2 { ; Multi-layered effect - 2 ; Just a simple julia ; by Miguel Fliguer (c) 2000 reset=2000 type=julia center-mag=-0.353575/-0.351952/6.056202 params=-0.3466153364632231/-0.6091966597077251 float=y maxiter=2000000000 bailout=2 inside=bof61 sound=off colors=000<2>800B01B01<13>201201101000<5>002003003004004105<8>60T7\ 0V70Y<3>A0h<9>40H40F30C<3>000<9>`L0dO0hQ0<3>wZ0<9>NE0JB0F90<3>000<\ 10>0800900A0<2>0D00D00C0<4>080070060<2>040040040040040<21>00000000\ 0<3>101102102203000<9>0IP0KR0MU<3>0Uc<9>0CF0AD08A<2>023000202<8>P0\ PR0RU0U<3>c0c<9>F0FD0DA0A<3>000<9>EV0FZ0Ha0<2>Lj0Nn0Mk0<13>101 } Regards, Miguel Fliguer Franktal Gallery http://members.xoom.com/fliguer/franktal.html Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Fliguer, Miguel" Subject: (fractint) Fractint music PARs Date: 09 May 2000 11:27:45 -0300 After a long time, I'm back with two Fractint music PARs, based this time on the Chip attractor. Hope you like them. ---- One.hand.clapping { ; by Miguel Fliguer 2000 ; reset=2000 type=chip passes=1 corners=-13.10752/12.61111/-9.90906/9.379912 params=0.1/0.1/-0.1 float=y maxiter=20 bailout=64 inside=3 viewwindows=4.2/0.75/yes/0/0 hertz=110 sound=z/fm/quant polyphony=9 wavetype=5 attack=4 decay=12 sustain=4 srelease=4 scalemap=1/3/5/8/10/12/12/10/8/5/3/1 orbitdelay=1800 colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzzzLzzz000555<3>HHHKKKOO\ O<3>ccchhhmmmssszzz00z<3>z0z<3>z00<3>zz0<3>0z0<3>0zz<2>0GzVVz<3>zVz<3>zV\ V<3>zzV<3>VzV<3>Vzz<2>Vbzhhz<3>zhz<3>zhh<3>zzh<3>hzh<3>hzz<2>hlz00S<3>S0\ S<3>S00<3>SS0<3>0S0<3>0SS<2>07SEES<3>SES<3>SEE<3>SSE<3>ESE<3>ESS<2>EHSKK\ S<2>QKSSKSSKQSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3>G0G<3\ >G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG8AG88G\ 8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2>BGFBG\ GBFGBDGBCG000<6>000 } Shaved.penguins { ; by Miguel Fliguer 2000 ; reset=2000 type=chip passes=1 corners=-13.10752/12.61111/-9.90906/9.379912 params=0.0001/0.01/0.01 float=y maxiter=20 bailout=64 inside=3 viewwindows=4.2/0.75/yes/0/0 hertz=55 sound=y/fm/quant polyphony=5 attack=7 decay=15 sustain=0 srelease=0 scalemap=1/3/5/8/10/12/12/10/8/5/3/1 orbitdelay=2000 colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzzzLzzz000555<3>HHHKKKOO\ O<3>ccchhhmmmssszzz00z<3>z0z<3>z00<3>zz0<3>0z0<3>0zz<2>0GzVVz<3>zVz<3>zV\ V<3>zzV<3>VzV<3>Vzz<2>Vbzhhz<3>zhz<3>zhh<3>zzh<3>hzh<3>hzz<2>hlz00S<3>S0\ S<3>S00<3>SS0<3>0S0<3>0SS<2>07SEES<3>SES<3>SEE<3>SSE<3>ESE<3>ESS<2>EHSKK\ S<2>QKSSKSSKQSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3>G0G<3\ >G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG8AG88G\ 8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2>BGFBG\ GBFGBDGBCG000<6>000 } > Regards, > Miguel Fliguer > Franktal Gallery > http://members.xoom.com/fliguer/franktal.html Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD, 10-05-00 (Nearly a Spiral [4]) Date: 10 May 2000 00:46:34 -0400 (EDT) FOTD -- May 10, 2000 (Rating 4) Fractal visionaries and enthusiasts: Today brings another FOTD that rates below the FOTD 3-year average. Yes, I realize that in any sampling with a random deviation about half the samples will be below average, but I'd still like to see every day's FOTD check in at above average. Of course, there is only one place on earth where everything is above average, and that place is in Minnesota, not at Fractal Central, so we'll have to accept that the laws of statistics cannot be circumvented, and half the FOTD's will be below average. Today's picture has a little story behind it. This morning, someone posted two Julia fractals to the Fractint list. (I believe it was Miguel Fliguer, but the letter is in a mailbox on a machine over at the Fractal Central Extension Service.) These two pseudo-multi-layer images featured great spirals. When I saw the first of these, I entered the coordinates into my multirot-XY-ZW formula and, using the evolver, randomly rotated the orientation slightly from the pure Julia direction. I did this hoping to get an idea of how the Julia spiral is situated in relation to the Mandelbrot valley it lies in. I was successful beyond my wildest dreams. Rotating the slice only 1/2 degree from the Julia direction causes a total change in the appearance of the image. In today's picture, we can see the original spiral, now distorted, near the center of the screen, and also the grossly enlarged Mandelbrot valley behind it. We also see that the area is filled with other spirals, the one at the upper right being the most interesting. Our original spiral now has the lower part cut off by the Mandelbrot valley it lies in. I named the picture "Nearly a Spiral" because the spiral at the center is not quite complete. The parameter file takes over 39 minutes on a fast Pentium 200mhz. This is a sign that the best way to view the image is to download the already rendered JPEG file from: or from: I gave the foreground of the image an effect of stripes. It doesn't really help the color composition, though it does give an additional 3-D effect to the scene. The fractal weather today was sunny and very warm once again, with a temperature of 90F (32C) that was too warm for the cats, who spent the entire afternoon sleeping. The philosophy is moving along, philofractal fans, but it's not yet ready to be made public. Another few days however should do the job, and then watch out world -- anything might happen. But for now, not much is about to happen. The most exciting thing yet to be done is to shut down the fractal shoppe for another day and call it a night. Until 24 hours from now, take care, and what would we do if we ran out of fractals? Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Nearly_a_Spiral { ; time=0:39:13.40, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=multirot.frm formulaname=multirot-XY-ZW function=ident/flip passes=t center-mag=0.0822189/0.00488862/4.35325/0.5\ 047 params=90.4306/89.7661/0.356087637/0.35143528\ 2/-0.359311424/-0.601722338 float=y maxiter=60000 inside=0 periodicity=10 colors=00000kpU000koU000koU000lnU000lmU000lmU000llU0\ 00lkU000lkUAAAmjUKFFmiUPKKmiUUPPmhUZUUmgUcUVmgUhUUmf\ TnUSneSnURneQnZPndOn<3>cLnbKnbKnbJoaIoaHo`Hn<3>VDeUD\ cTCaRB_RA_<3>UDfVDhWEjXFlXFn<16>VSkUSkUTk<2>UVkUWkTV\ i<46>WXvWXvWXv<2>WXwWXwYYy<48>HPhHPhHPhGPgGPgEOf<22>\ lepnfpofq<3>uir<29>oRx } frm:multirot-XY-ZW {; draws 6 planes and many rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p2, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p3: z=sqr(z)+c, |z| <= 36 } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD, 11-05-00 (Blast from the past, the 2nd [2]) Date: 11 May 2000 01:20:25 -0400 (EDT) FOTD -- May 11, 2000 (Rating 2) Fractal visionaries and enthusiasts: Due to an unexpectedly busy day, I had no chance to find a new fractal for my FOTD for May 11. I turned instead to the Fractal Central archives, which contains many thousands of fractals. The image I chose is from 1994. It is the earliest image in my collection of fractals that were created with Fractint version 18.21, which is the version that came with the second edition of Tim's book, "Fractal Creations, Second Edition". Since it's such an early effort, I could rate it no higher than a 2. The picture is almost certainly the first view I had of the world of perturbed Mandeloids with negative exponents. In this case, the exponent is -2, and the starting point of Z is (0.5,0.5). When I saw the picture, I must have been reminded of some kind of surreal asteroid, with clouds of fractal debris flying off into space. But I'll never know for sure, because when I saved the image, I named the file frac0001.gif. The name I gave today's incarnation of the image is "A Blast from the Past 2nd". The original rendering took 7-1/2 minutes on a 486-33mhz machine. The P200 redo finished in 26 seconds, which is 17 times as fast. If 26 seconds is still too long to wait, the GIF image file may be downloaded from Usenet at: and from the Web at: I have posted today's image in GIF format because for some reason it suffers too much degradation when JPEG'd. The fractal weather today was once again warm, with a temperature of 89F (31.5C) that was near perfect for the fractal cats. The fine weather was interrupted in the late afternoon however by a light thunder-shower that arrived with a cool gust of wind, dampened the sidewalk, filled the air with occasional rumbles of thunder, and dropped the temperature to 62F (16.5C). The fractosophy is progressing, philosophy fans, and tomorrow could be the day it appears. Until then, take care. Jim Muth jamth@mindspring.com START PARAMETER FILE======================================= ABlastFromThePast2 { ; time=0:00:26.88, SF5 on a P200 reset=1821 type=manzpower passes=1 center-mag=+0.51053852817107240/+0.83907695332417750\ /172.9266/1/152.5 params=0.5/0.5/-2/0 float=y bailout=24000 logmap=yes colors=000C0H8b`5XX2RT<3>6PU7PV8OV9OV9OV<3>TOMgOJhOH\ gOFwODwOBoUC<3>gqD<3>IkHCiIj8s5gI<7>8kQ8kR9kS<3>AmW3\ s7<3>AmWCkaEjgEwr<10>F_jGXiGVi<3>GMfXWR_UQaROW8K<3>a\ KMbMMcPN<2>gYOrZE<7>c_Ua_W__Y<3>S_eVjl<14>NRcNQbMPa<\ 3>KK_76I<3>KJ_NMclGc<3>_LeXMfTOf<2>KRhLxa<3>IbfIYgHS\ h<3>F7lI0j<3>F2mE3mD3n0xT<3>9MgBCkD3n<6>R6WT7TV7R<3>\ b9Gq0D<6>WGFSIFPKF<3>DTG2M7<11>E_LF`MGaN<3>KeRXhB<5>\ MfPKfSIfU<3>Beb2tl<3>D`bGW_IRYLMV5AL<3>NITSKVWMX`OZd\ Q``Df<6>m`_ocZqfY<3>xsVvrUtrT } END PARAMETER FILE========================================= Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Andrew Coppin" Subject: (fractint) The Wonderer Returns Date: 11 May 2000 15:20:45 GMT Hello list! I'm back from a trip to Cornwall. I've been gone since mid-April, and I've just spent 2 hours reading all my mail. Heck, I'm on sooo many mailing lists... this is silly! I spotted that the "any is Mandelbrot everywhere?" question surfaced again. Not suprising (it is rather odd on the face of it). Of course the answer involves critical points, and that got me thinking: A critical point is of course a place where the derrivative of the fractal's function is zero. Thinking about this, I just wondered what the meaning of a function's derrivative is in complex space. On real numbers, its value simply signifies the slope of the function. But in complex space, things are more... sorry, I can't resist it!... *complex*! Anyone know the answer? I also wondered to myself: Sin, Cos, Tan, etc are usually defined in reference textbooks (not about complex numbers) by their Taylor series. Are there any other recognised functions defined in this way? Hmmm... I wonder if you can produce strange functions with a Fourier series instead... Ooo, or what about one of the Wavelet transforms... Maybe I'll have formulas soonish... Maybe, just maybe. ® ________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Gregory McClure Subject: RE: (fractint) The Wonderer Returns Date: 11 May 2000 14:21:54 -0700 Hmmm, I am not an expert in complex trig functions, but AS LONG AS THE FUNCTION IS EXPRESSED IN RADIANS, the trig functions hold their = properties into the complex realm; so I assume the derivative of the sin(x) where = x is complex radians is still cos(x), etc. So solving f'(x)=3D0+0i for = critical points should still give the desired output. Anyone see a problem with this = logic? One problem I can see with it is the possibility that critical points = in 2D space might become critical lines (curves) in 3D space etc, in which = case this logic goes out the door. Graphing complex results requires a different style of graph. I have seen several texts that map lines on an (x,y) coordinate plane into = lines on a (u,v) coordinate plane where u =3D real(f'(x+yi)) and v =3D = imag(f'(x+yi)). Where the function maps to (0,0) on the (u,v)-plane would solve f'(x)=3D0+0i. Again, if it still makes sense to solve for critical points in complex space. If my assumptions on complex trig functions are true, then Taylor = series would certainly work. The Kwisatz Haderach, =DF Gregory J. McClure -----Original Message----- Sent: Thursday, May 11, 2000 9:21 AM Hello list! I'm back from a trip to Cornwall. I've been gone since=20 mid-April, and I've just spent 2 hours reading all my mail. Heck, I'm = on=20 sooo many mailing lists... this is silly! I spotted that the "any is Mandelbrot everywhere?" question surfaced = again.=20 Not suprising (it is rather odd on the face of it). Of course the = answer=20 involves critical points, and that got me thinking: A critical point is = of=20 course a place where the derrivative of the fractal's function is zero. = Thinking about this, I just wondered what the meaning of a function's=20 derrivative is in complex space. On real numbers, its value simply = signifies the slope of the function. But in complex space, things are more... = sorry, I can't resist it!... *complex*! Anyone know the answer? I also wondered to myself: Sin, Cos, Tan, etc are usually defined in=20 reference textbooks (not about complex numbers) by their Taylor series. = Are=20 there any other recognised functions defined in this way? Hmmm... I = wonder=20 if you can produce strange functions with a Fourier series instead... = Ooo,=20 or what about one of the Wavelet transforms... Maybe I'll have formulas soonish... Maybe, just maybe. ® ________________________________________________________________________= Get Your Private, Free E-mail from MSN Hotmail at = http://www.hotmail.com Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Ammon Cooke Subject: (fractint) New Here Date: 11 May 2000 16:13:36 -0600 Hi guys, (& gals) I'm new to fractint & would like to know how to build color maps. Thanks in advance. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Paul DeCelle Subject: (fractint) Fractal Gallery Update - May, 2000 Date: 11 May 2000 21:48:55 -0400 Hi, Everyone-- A quick note to inform that there are thirteen new images at my site for the month of May, in Gallery XVII. If you wish, go to http://pages.prodigy.net/pauldc/ufintro.html for a look. Regards, Paul Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Angela Wilczynski" Subject: Re: (fractint) New Here Date: 11 May 2000 19:44:51 -0700 See several tutorials at.... http://wizzle.simplenet.com/fractals/hints/graphic_hints.htm wizzle Ammon Cooke wrote: > > Hi guys, (& gals) I'm new to fractint & would like to know how to build > color maps. > > Thanks in advance. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Morgan L. Owens" Subject: Re: (fractint) The Wonderer Returns Date: 12 May 2000 20:06:37 +1200 At 15:20 11/05/2000 GMT, you wrote: >Hello list! I'm back from a trip to Cornwall. I've been gone since >mid-April, and I've just spent 2 hours reading all my mail. Heck, I'm on >sooo many mailing lists... this is silly! > >I spotted that the "any is Mandelbrot everywhere?" question surfaced again. >Not suprising (it is rather odd on the face of it). Of course the answer >involves critical points, and that got me thinking: A critical point is of >course a place where the derrivative of the fractal's function is zero. >Thinking about this, I just wondered what the meaning of a function's >derrivative is in complex space. On real numbers, its value simply signifies >the slope of the function. But in complex space, things are more... sorry, I >can't resist it!... *complex*! Anyone know the answer? > The trick is to go right to the definition of the derivative. Newton didn't use this definition, Leibniz didn't use it, they just hoped that what they did use (intuition, frankly) would continue to work as advertised. Since this is a definition, you can apply it to functions of anything where the operations it uses make sense: real numbers, complex numbers, whatever. Let f be a function that exists at a certain point z0 (in other words, f(z0) has to make sense). The derivative of f at z0 - written "f'(z0)" - is then f(z)-f(z0) f'(z0) = lim ---------- z->z0 z-z0 It's basically a rendering into mathematical notation of the "slope of the function" - as z gets closer and closer to z0, a line drawn between them gets closer and closer to the real slope at the point z0. But now, since it doesn't actually require things like "lines" and "slopes", it can be applied in others contexts than just functions of a single real variable. The tricky bit - the bit that Newton and Leibniz and just about every working mathematician for the next couple of hundred years handwaved over - was the idea of a "limit". It was only in the last years of the nineteenth century that a solid, formal definition of what it meant was established. To say lim f(x) = L x->a means that for every number e>0 there is a number d>0 such that |f(x)-L|0 Note that it also doesn't say anything about what sort of beasties x, d, e and L actually are. They could be fargawixes, so long as the operations used in the definition (subtracting two fargawixes, and measuring the magnitude of a fargawix) make sense - the comparison operations act on real numbers, so they're a doddle. >I also wondered to myself: Sin, Cos, Tan, etc are usually defined in >reference textbooks (not about complex numbers) by their Taylor series. Are >there any other recognised functions defined in this way? > Actually, sin, cos, tan etc. are usually defined in terms of right-angled triangles :-), but Taylor series are more convenient for analysis. Any function that can be represented as a power series and is defined at a point c can be written as a Taylor series at that point. (In the case when c=0, the result is known as a Maclaurin series, but why limit yourself by not adding another parameter?) And a power series is just a polynomial with a possibly infinite number of terms. >Hmmm... I wonder >if you can produce strange functions with a Fourier series instead... Ooo, >or what about one of the Wavelet transforms... > Oh, yeah! >Maybe I'll have formulas soonish... Maybe, just maybe. ® > No doubt, no doubt. Morgan L. Owens "Away from maths too long." Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Fliguer, Miguel" Subject: (fractint) RE: [fractal-art] Fractal Gallery Update - May, 2000 Date: 12 May 2000 09:42:58 -0300 Paul DeCelle, artist extraordinarie, wrote : >>>[...] thirteen new images [...] Gallery XVII. >>>[...] http://pages.prodigy.net/pauldc/ufintro.html Excellent ! The Sentinels and Totem are my choice for this gallery. Miguel Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD, 12-05-00 (Star-Web [4]) Date: 12 May 2000 10:57:41 -0400 (EDT) FOTD -- May 12, 2000 (Rating 4) Fractal visionaries and enthusiasts: Many apologies for the lateness, but I once again fell asleep before posting the FOTD. Today's picture is a scene in the fractal that results when 1000 parts of Z are subtracted from Z^-1000. The parent fractal is one of the least promising of all time -- just two tangent circular disks with scalloped edges, lying beyond the right edge of the default screen, with no sign of midgets anywhere in the area. But in the world of fractals, objects that barely touch sometimes do strange things. This is one of those times that strange things happen. A tiny Mandelbrot set lies at the point where the two disks graze each other, and the midget in today's image lies way out neat the tip of the tail of that midget. I named the picture "Star-Web" when I noticed both the prominent 4-pointed star surrounding the midget and the spider-web appearance of the entire scene. After yesterday's FOTD, which rated no more than a 2, today's rates a 4, which is better but still not up to average. The parameter file runs in a relatively fast 1-1/4 minutes on an average Pentium. For those who choose not to run the parameter file, the image file is available on the Usenet network at the newsgroup: It ia also available at Paul Lee's web site at: The fractal weather today was perfect for just about anything, with crystal blue skies, gentle winds, and a temperature of 79F (26C), which was ideal for cats and fractals alike. The only flaw in an otherwise perfect day came at sunset, when a layer of clouds moved in to obscure the setting sun. And now I see that it's time to shut down the fractal shoppe. It's getting late, I'm getting sleepy, and the fractal cats are getting hungry. Until next time, take care, and when one finds the true truth, the search has merely begun. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Star-Web { ; time=0:01:16.62, SF5 on a p200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+2.80633243885974600/-0.00880757474510921\ /6.333723e+009/1/180 params=1/-1000/-1000/1/-0.9982/0 float=y maxiter=360 bailout=25 inside=0 logmap=22 symmetry=none periodicity=10 colors=000C2B628035<4>c8Fk8Hs8JrHBrP4<3>nhQmmVlr_kwd\ <9>SQFQMCOJA<3>G60<9>LKMMLPMMR<3>ORZ<2>xhOuiJrjEpk9<\ 3>_oVWp_Rqe<3>Buz<3>EyrFzpGzn<3>JzfKzdKzbLz`MzZMzX<9\ >bzNczMezL<3>kzH<3>UzTPzWLzZ<3>`zSdzRhzP<2>tzLukI<3>\ wh9wh6xg4xg2<2>kgJgzPczV_z_<7>SziRzjQzk<3>Mzo<3>TzqV\ zrWzr<2>`zs<3>TzISz9QzC<3>JzNHzQGzS<2>Bz_<9>LzFMzDNz\ B<3>Rz3<2>Mzo<3>bzQgzKkzDoz7sz1<2>jzq<9>ZzaYz_XzZ<3>\ TzT<3>8zb<3>BziBzjCzlCzm<8>UzSWzQYzN<3>ezE<3>_z8Yz6X\ z5XzMXzbXzs<8>jza } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Ammon Cooke Subject: Re: (fractint) New Here Date: 12 May 2000 11:07:32 -0600 At 07:44 PM 5/11/00 -0700, you wrote: >See several tutorials at.... > >http://wizzle.simplenet.com/fractals/hints/graphic_hints.htm > >wizzle OK I looked found what I was looking for but when I tried it I got this error message: I'm sorry but color-cycling requires a palette based video driver Is there a work around for this? Thanx. >Ammon Cooke wrote: > > > > Hi guys, (& gals) I'm new to fractint & would like to know how to build > > color maps. > > > > Thanks in advance. > >-------------------------------------------------------------- >Thanks for using Fractint, The Fractals and Fractint Discussion List >Post Message: fractint@lists.xmission.com >Get Commands: majordomo@lists.xmission.com "help" >Administrator: twegner@fractint.org >Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Ammon Cooke Subject: Re: (fractint) FOTD, 12-05-00 (Star-Web [4]) Date: 12 May 2000 11:16:44 -0600 When I got there I didn't see a link to the image. ;-> At 10:57 AM 5/12/00 -0400, you wrote: >FOTD -- May 12, 2000 (Rating 4) > >Fractal visionaries and enthusiasts: > >Many apologies for the lateness, but I once again fell asleep >before posting the FOTD. > >Today's picture is a scene in the fractal that results when 1000 >parts of Z are subtracted from Z^-1000. The parent fractal is >one of the least promising of all time -- just two tangent >circular disks with scalloped edges, lying beyond the right edge >of the default screen, with no sign of midgets anywhere in the >area. > >But in the world of fractals, objects that barely touch >sometimes do strange things. This is one of those times that >strange things happen. A tiny Mandelbrot set lies at the point >where the two disks graze each other, and the midget in today's >image lies way out neat the tip of the tail of that midget. > >I named the picture "Star-Web" when I noticed both the prominent >4-pointed star surrounding the midget and the spider-web >appearance of the entire scene. After yesterday's FOTD, which >rated no more than a 2, today's rates a 4, which is better but >still not up to average. The parameter file runs in a >relatively fast 1-1/4 minutes on an average Pentium. For those >who choose not to run the parameter file, the image file is >available on the Usenet network at the newsgroup: > > > >It ia also available at Paul Lee's web site at: > > > >The fractal weather today was perfect for just about anything, >with crystal blue skies, gentle winds, and a temperature of 79F >(26C), which was ideal for cats and fractals alike. The only >flaw in an otherwise perfect day came at sunset, when a layer of >clouds moved in to obscure the setting sun. > >And now I see that it's time to shut down the fractal shoppe. >It's getting late, I'm getting sleepy, and the fractal cats are >getting hungry. Until next time, take care, and when one finds >the true truth, the search has merely begun. > > >Jim Muth >jamth@mindspring.com > > >START 20.0 PAR-FORMULA FILE================================ > >Star-Web { ; time=0:01:16.62, SF5 on a p200 > ; Version 2000 Patchlevel 9 > reset=2000 type=formula formulafile=critical.frm > formulaname=MandelbrotMix4 function=ident passes=1 > center-mag=+2.80633243885974600/-0.00880757474510921\ > /6.333723e+009/1/180 params=1/-1000/-1000/1/-0.9982/0 > float=y maxiter=360 bailout=25 inside=0 logmap=22 > symmetry=none periodicity=10 > colors=000C2B628035<4>c8Fk8Hs8JrHBrP4<3>nhQmmVlr_kwd\ > <9>SQFQMCOJA<3>G60<9>LKMMLPMMR<3>ORZ<2>xhOuiJrjEpk9<\ > 3>_oVWp_Rqe<3>Buz<3>EyrFzpGzn<3>JzfKzdKzbLz`MzZMzX<9\ > >bzNczMezL<3>kzH<3>UzTPzWLzZ<3>`zSdzRhzP<2>tzLukI<3>\ > wh9wh6xg4xg2<2>kgJgzPczV_z_<7>SziRzjQzk<3>Mzo<3>TzqV\ > zrWzr<2>`zs<3>TzISz9QzC<3>JzNHzQGzS<2>Bz_<9>LzFMzDNz\ > B<3>Rz3<2>Mzo<3>bzQgzKkzDoz7sz1<2>jzq<9>ZzaYz_XzZ<3>\ > TzT<3>8zb<3>BziBzjCzlCzm<8>UzSWzQYzN<3>ezE<3>_z8Yz6X\ > z5XzMXzbXzs<8>jza > } > >frm:MandelbrotMix4 {; Jim Muth >a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), >g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, >k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): >z=k*((a*(z^b))+(d*(z^f)))+c, >|z| < l >} > >END 20.0 PAR-FORMULA FILE================================== > > >-------------------------------------------------------------- >Thanks for using Fractint, The Fractals and Fractint Discussion List >Post Message: fractint@lists.xmission.com >Get Commands: majordomo@lists.xmission.com "help" >Administrator: twegner@fractint.org >Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Angela Wilczynski" Subject: Re: (fractint) New Here Date: 12 May 2000 19:58:33 -0700 Ammon... No clue.....I'm art, not technical support... wizzle Ammon Cooke wrote: > > At 07:44 PM 5/11/00 -0700, you wrote: > >See several tutorials at.... > > > >http://wizzle.simplenet.com/fractals/hints/graphic_hints.htm > > > >wizzle > OK I looked found what I was looking for but when I tried it I got this > error message: I'm sorry but color-cycling requires a palette based video > driver > > Is there a work around for this? > Thanx. > > >Ammon Cooke wrote: > > > > > > Hi guys, (& gals) I'm new to fractint & would like to know how to build > > > color maps. > > > > > > Thanks in advance. > > > >-------------------------------------------------------------- > >Thanks for using Fractint, The Fractals and Fractint Discussion List > >Post Message: fractint@lists.xmission.com > >Get Commands: majordomo@lists.xmission.com "help" > >Administrator: twegner@fractint.org > >Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" > > -------------------------------------------------------------- > Thanks for using Fractint, The Fractals and Fractint Discussion List > Post Message: fractint@lists.xmission.com > Get Commands: majordomo@lists.xmission.com "help" > Administrator: twegner@fractint.org > Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD, 13-05-00 (Col [5]) Date: 13 May 2000 01:27:25 -0400 (EDT) FOTD -- May 13, 2000 (Rating 5) Fractal visionaries and enthusiasts: It's once again late and I'm once again groggy after a hectic day, so this one will be short. Today's fractal image, which was created with the aid of that workhorse M-Mix4 formula, is the slowest in quite some time, taking almost four hours to render on a P200. A glance at the maxiter and logmap values in the parameter file will reveal the reason for the slowness. I named the picture "Col" because that's exactly what it's a picture of. A col is a saddle-shaped contour, like a mountain pass. Today's fractal has a saddle-shaped contour, with the seat of the saddle lying at the center of symmetry. The fractal scene is a close-up of the point where the basins of attraction of two very close midgets bump together. A few out-zooms will reveal the two kissing midgets, which are interestingly distorted by their nearness to each other. As I mentioned previously, the parameter file is excruciatingly slow. No one but the most masochistic should try to run it, when the pre-rendered image has been thoughtfully posted to: and to: The fractal weather today was once again hot, hazy and humid, with a temperature of 90F (32C) that was perfect for doing nothing. Unfortunately, not being a cat, I couldn't get away with doing nothing. On such sultry days the philosophy gets stifled. But I give my word that I'll try again in the next FOTD. I think this will be the last FOTD I'll write at the end of the day when I'm all worn out. Starting with the FOTD for May 14, I'll do the writing in the morning when I'm fresh, and post the discussion before noon, (Fractal Central time). The result will be livelier and hopefully more profound discussions. So until next time, which will be in about 33 hours, take care, and don't worry about the FOTD. It isn't nearing the end of its run. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Col { ; time=3:56:22.34, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=-0.16762174763149920/+0.03653716755766197\ /5514.852/1/117.5 params=0.2005265/2/-5/-0.5/0/0 float=y maxiter=50000 bailout=25 inside=0 logmap=3861 symmetry=none periodicity=10 colors=000d4F<3>d4Ad49d48<2>d44c02<8>eG5fI5fK6fL6fN6\ <3>gY7g`8hc8hf8<3>io9iqAisAiuAjw9izA<4>ikFihG<6>h`Nh\ _Oh_P<3>hWThVUhUVkTT<10>VXgUXiSXj<2>OYnNYoOXn<22>OAS\ O9RO8QO7PO6OP4M<29>I9mI9nH9o<2>H9rI9sH9t<2>H9w<5>F9U\ F9PF9K<3>E90<3>D90D90D90E82<38>b3Bc3Bc3B<2>e2Cf2Ch2C\ <3>p1Dr1Et1Ev1Ex1Ez0Dz1Ez2E<3>m6Fj6Gh7G<24>UTN } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Barry N Merenoff <110144.2274@compuserve.com> Subject: (fractint) The Wonderer Returns Date: 13 May 2000 02:28:10 -0400 A complex derivative is a combination of the real and imaginary partial derivatives along an axis. The Cauchy Criterion, which holds for any function constructed algebraically using common functions such as Sin, Cos, etc. (but not for "artificial" functio= ns such as Abs, Real, Flip, etc.), states that the complex derivative, when adjusted according to a formal substitution, will be the same for any axis. Ordinary Fourier series probably would not work well in a complex domain because they do not produce the expected result of bounded waves. To produce bounded waves in a complex domain without violating the Cauchy Criterion, you can use Jacobi= functions. Jacobi functions take two arguments: an "angle" and a "type". When the ty= pe is zero, they are trigonometric functions; when the type is one, they are hyperbol= ic functions. I have found that a type of -1 gives, for the Jacobi "SN" function, bound= ed waves that are periodic on both the real and imaginary axes, with a period of about 5.24412. Tim might think about implementing this in a future version of Fractint. Sincerely, Collin Merenoff Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Robert Woods" Subject: RE: (fractint) New Here Date: 13 May 2000 11:13:16 -0700 switch your video settings to 256c for color cycling -----Original Message----- [mailto:owner-fractint@lists.xmission.com]On Behalf Of Angela Wilczynski Sent: Friday, May 12, 2000 7:59 PM Ammon... No clue.....I'm art, not technical support... wizzle Ammon Cooke wrote: > > At 07:44 PM 5/11/00 -0700, you wrote: > >See several tutorials at.... > > > >http://wizzle.simplenet.com/fractals/hints/graphic_hints.htm > > > >wizzle > OK I looked found what I was looking for but when I tried it I got this > error message: I'm sorry but color-cycling requires a palette based video > driver > > Is there a work around for this? > Thanx. > > >Ammon Cooke wrote: > > > > > > Hi guys, (& gals) I'm new to fractint & would like to know how to build > > > color maps. > > > > > > Thanks in advance. > > > >-------------------------------------------------------------- > >Thanks for using Fractint, The Fractals and Fractint Discussion List > >Post Message: fractint@lists.xmission.com > >Get Commands: majordomo@lists.xmission.com "help" > >Administrator: twegner@fractint.org > >Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" > > -------------------------------------------------------------- > Thanks for using Fractint, The Fractals and Fractint Discussion List > Post Message: fractint@lists.xmission.com > Get Commands: majordomo@lists.xmission.com "help" > Administrator: twegner@fractint.org > Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" _____________________________________________ NetZero - Defenders of the Free World Click here for FREE Internet Access and Email http://www.netzero.net/download/index.html Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Ammon Cooke Subject: RE: (fractint) New Here Date: 13 May 2000 12:37:56 -0600 OK now I get color-cycling,but when I do what the tutorial tells me it just starts the cycling it doesn't open a color map. At 11:13 AM 5/13/00 -0700, you wrote: >switch your video settings to 256c for color cycling > >-----Original Message----- >From: owner-fractint@lists.xmission.com >[mailto:owner-fractint@lists.xmission.com]On Behalf Of Angela Wilczynski >Sent: Friday, May 12, 2000 7:59 PM >To: fractint@lists.xmission.com >Subject: Re: (fractint) New Here Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Les St Clair" Subject: (fractint) Web Site Re-launched! Date: 14 May 2000 00:21:10 +0100 Hi Fractal Fans, Just a note to say that my web sites have been consolidated and re-launched at the following URL: http://www.les.stclair.btinternet.co.uk All of the old Fractal galleries are there (follow the "Fractal Panorama" link), some have been enhanced and improved with larger images behind the thumbnails. (Sorry there's no actual new content yet:) Fractint fans will find fully updated parameter collections from the Fractint List as well as Jim's FOTD (all complete to the end of April 2000). Enjoy your visit(s). - Les St Clair Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: neko Subject: Re: (fractint) Web Site Re-launched! Date: 14 May 2000 08:24:37 +0900 >Hi Fractal Fans, > >Just a note to say that my web sites have been consolidated and >re-launched at the following URL: > >http://www.les.stclair.btinternet.co.uk > >All of the old Fractal galleries are there (follow the "Fractal Panorama" >link), some have been enhanced and improved >with larger images behind the thumbnails. >(Sorry there's no actual new content yet:) > >Fractint fans will find fully updated parameter collections from the >Fractint List as well as Jim's FOTD (all complete >to the end of April 2000). > >Enjoy your visit(s). ...and my backlog of pars to generate grows ever steadily...:) thanks les! -- neko *meow* "capital letters were always the best way of dealing with things you didn't have a good answer to." -- douglas adams Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Robert Woods" Subject: RE: (fractint) New Here Date: 13 May 2000 17:24:32 -0700 go to Colors | Load Color Map... (in Winfract.exe) -----Original Message----- [mailto:owner-fractint@lists.xmission.com]On Behalf Of Ammon Cooke Sent: Saturday, May 13, 2000 11:38 AM OK now I get color-cycling,but when I do what the tutorial tells me it just starts the cycling it doesn't open a color map. At 11:13 AM 5/13/00 -0700, you wrote: >switch your video settings to 256c for color cycling > >-----Original Message----- >From: owner-fractint@lists.xmission.com >[mailto:owner-fractint@lists.xmission.com]On Behalf Of Angela Wilczynski >Sent: Friday, May 12, 2000 7:59 PM >To: fractint@lists.xmission.com >Subject: Re: (fractint) New Here Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" _____________________________________________ NetZero - Defenders of the Free World Click here for FREE Internet Access and Email http://www.netzero.net/download/index.html Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Angela Wilczynski" Subject: Re: (fractint) New Here Date: 14 May 2000 07:44:38 -0700 Ammon.... To load a new color map... 1. Enter color editing mode by hitting e or color cycling mode by hitting c 2. Hit l to take you to your list of maps 3. Highlight the map you want.....hit enter....the new pallet will be loaded wizzle Ammon Cooke wrote: > > OK now I get color-cycling,but when I do what the tutorial tells me it just > starts the cycling it doesn't open a color map. > > At 11:13 AM 5/13/00 -0700, you wrote: > >switch your video settings to 256c for color cycling > > Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: Re: (fractint) FOTD, 14-05-00 (To Mother [5]) Date: 14 May 2000 11:21:09 -0400 (EDT) FOTD -- May 14, 2000 (Rating 5) Fractal visionaries and enthusiasts: This is the first FOTD to be written and posted at the new time, at the start of the day of its title, rather than at the end of the day before. We'll give it a fair trial and see how it goes for a while. If it doesn't work out, we'll return to the old way. It's the morning of Mother's Day here in the USA. In honor of the mothers of the world, I prepared a fractal just for mom. I named the picture "To Mother" so that its intent would be clear. It's another image with a midget, which was created by the MandelbrotMix4 formula. This time the expression calculated was 0.125*(Z^4)-(Z^(-2))+C. The shapes around the midget resemble stylized hearts closely enough so that the feeling of a greeting card is there. The parameter file takes 12 minutes to run. Downloading the image file is far faster. The image may be found as usual posted by me to Usenet at: and by Paul Lee to his web site at: The fractal weather yesterday was as warm and humid as it ever gets around here in May. The temperature of 92F (33.3C) kept the cats in the coolness of the shady side of the porch all afternoon. But in the late afternoon a whopper of a thunder- storm came up, which turned day into night, brought down numerous tree limbs, flooded the fractal basement, and sent the cats scurrying under the bed for cover from the crashing thunder. The philosophy, fractal and otherwise, is heating up again on the philofractal list, and I'll be posting a reply to the latest reply in a couple hours. As for the next FOTD -- it will appear in its full glory in only 24 hours. Until then, take care, and enjoy your day. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ To_Mother { ; time=0:12:21.72, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+0.312546676762343/+0.5411558771878988/1.\ 048282e+011/1/49.994/0.014 params=-1/-2/0.125/4/0/0 float=y maxiter=1800 bailout=25 inside=0 logmap=237 symmetry=none periodicity=10 colors=000eXPqb0<5>YKCVGESDG<3>F1N<6>a2Pd2Ph2Q<3>t2Q\ <3>RCAJE6CG3<8>UeAWhBYkC<3>evE<8>MhVKfXIeZ<3>A_e<8>d\ _Rg_Qk_O<3>x_I<2>9cP<3>PlVTnXXpY`r_ct`<3>ijVjgUleT<3\ >qWO<3>dbU`cVYeW<2>Pi_<4>`hfcghegi<3>ngnmenmdnSRp<3>\ fOljOkmNj<2>xMg<3>YD`RBZK9YD7W75V<8>JXlK_nLbp<3>Qnx<\ 9>IZtHXtHWt<2>ERsEQsEQs<3>ESsESsFRr<20>YEqZEq_Dq<3>b\ BqORS<42>`Dm`DnaCn<3>bBpUQm } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD, 15-05-00 (Rhapsody in Blues [4]) Date: 15 May 2000 11:13:55 -0400 (EDT) FOTD -- May 15, 2000 (Rating 4) Fractal visionaries and enthusiasts: If one negative portion of Z^(-2) is added to three negative portions of Z^(-4) and one portion of C, the resulting fractal resembles a distorted 5-pointed star with north-south symmetry and the long point facing east. Like all fractals that involve negative powers of Z, this fractal consists of scattered, disconnected bits and pieces of fractal stuff rather than the nice neat equal-iteration bands of the images generated from positive powers of Z. Fractals generated from a simple formula with negative exponents of Z such as Z^(-2)+C are notoriously boring. Regardless of how deep one looks into them, only the same flat circular disks are there. The occasional feature that looks promising turns out to be just another disappointment when checked. In other words, after seeing for yourself what these fractals look like, don't waste your time searching for interesting inner details. The details are just not there. Fractals generated from a formula such as Z^(-2)+Z^(-3)+C are equally disappointing. If the exponents are fractional, such as Z^(-2.5)+Z^(-3.5)+C, the bits and pieces of stuff are broken, but the result is the same -- just another boring fractal. A strange thing happens however when a formula such as Z^(-2)+Z^(-3)+C is iterated with Z initialized to a critical point of the formula. And this is what all that weird cauculus stuff in the second and third lines of the MandelbrotMix4 formula does. At a critical point, a function momentarily freezes, and this gives midgets a chance to appear before being cut off. A formula such as Z^(-2)+C has no midgets, so the critical point is irrelevant, but a formula like today's does have midgets, and if those midgets are to be found, Z must be initialized to a critical point. Since the M-Mix4 formula does this, the first problem has been solved. The only problem remaining is to find the midgets. Not all formulas draw fractals that contain midgets, and not all parts of the good fractals contain midgets. I know of no general rule telling where to look for midgets. I start by searching the fractals for areas that resemble intact buds of the Mandelbrot set. These bits and pieces of Mandelbrot stuff tell us that the area is critical and therefore likely to hold midgets. But intact midgets are sometimes found where least expected, such as areas that appear obviously perturbed. In tomorrow's FOTD I'll go into some of the methods that I've found most effective for locating these elusive midgets. For today, we have a picture that I've named "Rhapsody in Blues". It's a picture of a lively midget I found in a Mandelbrot-like valley of the parent fractal. It's also a rather slow image, so I advise downloading the JPEG file from: or from: The fractal weather yesterday after the big storm Saturday was perfect. The sunny skies and temperature of 74F (23C) brought out the best in the cats. Today is starting out equally fine. The philosophy is once again active on the philofractal list, where fans of fantistic philosophy will find enough to keep them thinking for days. For me, I've got a day's work to do, and I'm starting to cut into the time I have to do it. So until next time, take care, and when a fractal is in critical condition, unlike people, it's in perfect health. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Rhapsody_in_Blues { ; time=0:34:52.85, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=ident passes=1 center-mag=+1.16081437444318100/-0.29199831471349990\ /266820.4/1/149.999 params=-1/-2/-3/-4/0/0 float=y maxiter=3600 bailout=25 inside=0 logmap=350 symmetry=none periodicity=10 colors=000cAVc3ae0hg0og0vc0ua0uY0uX0uT0uR0uN0uL0uH0u\ G0uC0uA0u<2>00u00u00u00u00s00u<2>00v01v13v38x6AxAExC\ GzEJzGLzHPzLRzNVzPXzR_zVazXezYgz_jzclzeozgqzhuzjvznz\ zozz<3>xzzzzzzzz<3>zzzzzzxzzvzxuzuszqqznozlozjozhozh\ ozgozeozcozcnxanv_nuYnuXnsXnqVnoTnnRnlRnjPnjNnhLngJn\ eJ<2>n_Eja0l_0n_6n_Eo_NoYVqYaqYjsYquXzsYzsYxq_vq_vqa\ uoasocqocqneonenngnlgllhjjhhjjhjjghlehlehncgnago_go_\ eqYeqXcsVcsVcuTauRavRavP_xN_xL_zLYzJYzHazN_zJYzHXvGX\ qEVlCThARc6RY3PT1NN0LH0PC0NA0L80L60J31H13H08G0AE0EE0\ GC0JA0LA0P80R61V63X36_18a1Ae0Cg0Ej0Gl0Go0Eo0Gq0Gq0Gq\ 0Gq0Gs<2>0Gs0Gs0Gu<5>0Gv0Gv0Gv0Hx0Hx0Hx0Hx0Hz<6>0Hz0\ Hz0Hz<2>0Hz0Hz0Jz<10>0Jz0Jz0Jz<2>0Jz0Jz0Lz<4>0Lz0Lz0\ Lz<2>0Lz0Lz0Nz0Lz0Rz<2>0Xz0Yz0Yz<6>0Yz } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Ammon Cooke Subject: Re: (fractint) New Here Date: 15 May 2000 10:34:24 -0600 Wizzle... Ok, I didn't make my self clear I know how to load a color map, but I don't know how to edit it. Thanks. At 07:44 AM 5/14/00 -0700, you wrote: >Ammon.... > >To load a new color map... > >1. Enter color editing mode by hitting e or color cycling mode by hitting c >2. Hit l to take you to your list of maps >3. Highlight the map you want.....hit enter....the new pallet will be loaded > >wizzle > Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Angela Wilczynski" Subject: Re: (fractint) New Here Date: 15 May 2000 22:23:59 -0700 Read Linda's Tutorials....remember...I gave you the url....sheesh Ammon Cooke wrote: > > Wizzle... > > Ok, I didn't make my self clear I know how to load a color map, but I don't > know how to edit it. > > Thanks. > > At 07:44 AM 5/14/00 -0700, you wrote: > >Ammon.... > > > >To load a new color map... > > > >1. Enter color editing mode by hitting e or color cycling mode by hitting c > >2. Hit l to take you to your list of maps > >3. Highlight the map you want.....hit enter....the new pallet will be loaded > > > >wizzle > > > > -------------------------------------------------------------- > Thanks for using Fractint, The Fractals and Fractint Discussion List > Post Message: fractint@lists.xmission.com > Get Commands: majordomo@lists.xmission.com "help" > Administrator: twegner@fractint.org > Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Lee Skinner Subject: (fractint) New Here Date: 16 May 2000 07:48:19 -0400 >> Read Linda's Tutorials....remember...I gave you the url....sheesh And you can also RTFM (Read the Fractint Manual) on how to use the color palette editor. Use the Following command in a DOS box: Fractint makedoc and then print out FRACTINT.DOC, which has several hundred pages of usefu= l details about frractint. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Andrew Coppin" Subject: (fractint) Re: The Wonder Returns Date: 16 May 2000 13:16:40 GMT Hmm... All good stuff! As I understand it (mostly from BOF), the magnitude of the derrivative of a complex function is the total slope. What's the significance of the argument? Does it tell you which way the graph slopes? Or is there some much more complicated explanation? As I recall, the descrete Fourier transform is defined in complex numbers. It's f[X] = 1/n * Sum[Y=0..n-1] exp(2*pi*X*Y/n)*S[X] or something. Loosly it's a matter of drawing an "osciliscope flower" and taking the average of all the points, adjusting the number of twists in the flower for each frequency component. Thus, for each frequency we get a complex number where the magnitude is the frequency's amplitude, and the argument is the wave's phase (IMHO). I'll try throwing this into FractInt and see what happens. What on earth is a Jacobi function? Would it be possible to "engineer" a function with specific critical points? If you write something like (x-a)(x-b)(x-c)=0, you could then integrate the result and have a function with any critical points you like. Can an algebraic function have critical lines (not just points)? PS. Is there any other tome like BOF that describes the inner wonders of complex dynamics (without assuming that you're a God-like)? ________________________________________________________________________ Get Your Private, Free E-mail from MSN Hotmail at http://www.hotmail.com Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: erdal mazlum Subject: (fractint) hello to all..! Date: 16 May 2000 07:08:14 -0700 (PDT) hi, i just joined this group and wanted to say hello. i have been using fractint for a long time and enjoying it. world of fractals is really amazing and interesting. if you ask me, one can define the things more realistically by using this complex functions. hope you all have a good day and enjoy yourself... erdal. __________________________________________________ Do You Yahoo!? Send instant messages & get email alerts 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@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD, 16-05-00 (Ruby-Red Minibrot [4]) Date: 16 May 2000 10:48:44 -0400 (EDT) FOTD -- May 16, 2000 (Rating 4) Fractal visionaries and enthusiasts: Today's fractal, which shows a midget surrounded by ruby-red elements, and the ruby-red elements surrounded by a celestial blue background, is named "Ruby-Red Minibrot". The name is purely descriptive. I confess, I did post-process the image just the slightest. I did so to liven the colors, which in the un-intensified version were muddy and dull. But the sin is not as great as it seems, for with a bit more effort, I could have achieved the same result with the Fractint color editor. In yesterday's FOTD I mentioned fractals that are created by formulae that contain negative powers of Z. Today's image, which was drawn by the formula Z^(-2)+Z^(-23)+(1/C) is a typical example. Normally, the fractals of negative powers appear as an ocean dotted with islands. This is in contrast to the positive powers, where the fractals appear as a landscape dotted with lakes. But by juggling C, a fractal may be turned inside-out. The landscape can be turned into an ocean and vice-versa. By calculating 1/C instead of C, I have turned the ocean of today's fractal into a landscape with a big lake. When a fractal is turned inside-out, the overall appearance totally changes, though the inner details usually remain unchanged. But sometimes, for reasons I cannot determine, fractals of the M-Mix4 variety that have no midgets when they appear as oceans with islands, do have midgets when they are reversed and become landscapes with lakes. The effect is probably only apparent, but some fractals do appear far richer when turned inside-out. The parent fractal of today's image is a curiously distorted hodge-podge of Mandelbrot sections. In it, the normally near-circular negative-power disks have been distorted into shapes that almost seem to be trying to form themselves into equal-iteration bands. I may further investigate this fractal when the day's business is completed. On my P200, the parameter file rendered in 10 minutes plus 1/100th of a second. On the internet, the JPEG'd image file will download in far less time. That image may be found posted to the Usenet newsgroup: and to Paul Lee's web site at: The weather yesterday finished as perfectly as it started, the partly-cloudy skies and afternoon temperature of 68F (20C) being just warm enough for the cats to enjoy. Today is starting out the same. And now, I must put fun and games aside, and turn to things that are far less enjoyable but far more profitable. Until next time, take care, and keep those fractals coming. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Ruby-Red_Minibrot { ; time=0:10:00.01, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.71209342945824300/-0.00604668420008057\ /46921.65/1/-37.499 params=1/-2/1/-23/0/0 float=y maxiter=1400 bailout=25 inside=0 logmap=75 symmetry=none periodicity=10 colors=000H3SD7_8Ag5Dn0Fv0Iz0Lz5TzH_tQfl_mcitVqyOpvS\ otUnpXmnZmjalhdjdgibihZlhXnYMYOBFD00H20L20P30S30V50Z\ 50a72d72h83j85nA5qA7tA7uBFuBMuBUuB_uDguDmuDtuDyuDznH\ zgKzaOzUQzOTzQSzSQxTPtVOpXMmYLh_KdaI_bHXdFTfEOgDKiBE\ jAAlA5gDLcFZbLX<2>aXPa_M_dK_hH<2>Zr8aqEbpKcoOdnTfmY<\ 3>lhnmgrnfv<3>qYqrVprUptSotQnuOmvLlvKlwHjxEixDhyAgy8\ gbdXDzLLzXTvgZppfjzlfz<4>q_zrZztYztYz<3>xTyySxzQwzQw\ zbyznzzyzzzzzzuzunwnfrgZqiYpjXolXnmVmnVloUjpUjrTitTh\ uSgvSfwQdxQcyPczPayPZxQXwQUwSSvSPuThMLdLOaKQYITVIVSH\ YOF_KEbHEdDDg8Bi3Al0AnFFlSLiYKf<3>pchuhiymizpizol<3>\ worvntunvtnwrny<3>nmzmmzlmzjmz<3>aczZayXZwUXv<3>KMmH\ KjI0YEIiBYu8lzLnzXozirzfpzbowZmrVlnSiiOhdKg_FdVBcQ7a\ L2_F0X50ZA2_E7bIBcMEdPIfO<4>VgHYgF_gEchD<3>mi7oi5qi3\ ti3vl5xm7zn8M5XK5VI3T } frm:MandelbrotMix4 {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE================================== Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Barry N Merenoff <110144.2274@compuserve.com> Subject: (fractint) Re: The Wonder Returns Date: 16 May 2000 10:49:02 -0400 The simple part is that the derivative indicates, in its separate real an= d imaginary parts, the slope of a slice through the x-direction of the surfaces representing the= real and imaginary parts of the function. The complicated part is that in order for the complex derivative to exist, these two surfaces must be related to each other in such a way tha= t the complex derivative makes sense in terms of other directions of slicing. This requires that if the real surface is rotated 90 degrees counterclockwise about the z-direction= at any point at which the complex derivative is defined, and then slid along the z-direction until it inter- sects the imaginary surface at that point, it will share a tangent plane with the imaginary surface at that point. Your description of the complex Fourier series sounds correct. The function I am referring to is a solution to the differential equation= f'(x)^2+f(x)^4=3D1 It can be found using Mathematica as JacobiSN[x,-1] Yes, you could engineer functions with critical points in specific places= like this. You could also raise a factor to a power before integrating to get a higher-order critical point. As far as I know, a critical line or curve would be impossible. You could try reading "Chaos and Fractals: the Mathematics Behind the Computer Graphics" by the Symposia in Applied Mathematics. Sincerely, Collin Merenoff Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Ammon Cooke Subject: Re: (fractint) New Here Date: 16 May 2000 09:59:40 -0600 Sorry for being such a bother but pressing the e key & enter like she says to doesn't work for me the colors just start cycling. P.S. if it is a bother to reply by all means DON'T reply if I am asking this question at the wrong place PLEASE redirect me. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Parracho, Rui" Subject: RE: (fractint) New Here Date: 16 May 2000 12:07:41 -0400 its color cycling because your in color cycle mode. don't press C. From the normal fractal generation screen press E, position the grid on the screen where you want it and then press enter. Try F1 (help), its very thorough and quick. -----Original Message----- Sent: Tuesday, May 16, 2000 12:00 PM Sorry for being such a bother but pressing the e key & enter like she says to doesn't work for me the colors just start cycling. P.S. if it is a bother to reply by all means DON'T reply if I am asking this question at the wrong place PLEASE redirect me. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Ammon Cooke Subject: RE: (fractint) New Here Date: 16 May 2000 10:30:38 -0600 ok, I am running winfract because I cannot get fractint(dos) to work on my machine. When I press e like the help says to do nothing happens if I press enter like Linda's tutorial says to I get color-cycling. How do I avoid this? At 12:07 PM 5/16/00 -0400, you wrote: >its color cycling because your in color cycle mode. >don't press C. > > >From the normal fractal generation screen press E, position the grid on the >screen where you want it and then press enter. > >Try F1 (help), its very thorough and quick. > > >-----Original Message----- >From: Ammon Cooke [mailto:ammon@ucglink.net] >Sent: Tuesday, May 16, 2000 12:00 PM >To: fractint@lists.xmission.com >Subject: Re: (fractint) New Here > > >Sorry for being such a bother but pressing the e key & enter like she says >to doesn't work for me the colors just start cycling. > >P.S. if it is a bother to reply by all means DON'T reply if I am asking >this question at the wrong place PLEASE redirect me. > > >-------------------------------------------------------------- >Thanks for using Fractint, The Fractals and Fractint Discussion List >Post Message: fractint@lists.xmission.com >Get Commands: majordomo@lists.xmission.com "help" >Administrator: twegner@fractint.org >Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" > >-------------------------------------------------------------- >Thanks for using Fractint, The Fractals and Fractint Discussion List >Post Message: fractint@lists.xmission.com >Get Commands: majordomo@lists.xmission.com "help" >Administrator: twegner@fractint.org >Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Parracho, Rui" Subject: RE: (fractint) New Here Date: 16 May 2000 12:51:16 -0400 so while generating an arbitrary fractal you do not get a grid outlined in white? -----Original Message----- Sent: Tuesday, May 16, 2000 12:31 PM ok, I am running winfract because I cannot get fractint(dos) to work on my machine. When I press e like the help says to do nothing happens if I press enter like Linda's tutorial says to I get color-cycling. How do I avoid this? At 12:07 PM 5/16/00 -0400, you wrote: >its color cycling because your in color cycle mode. >don't press C. > > >From the normal fractal generation screen press E, position the grid on the >screen where you want it and then press enter. > >Try F1 (help), its very thorough and quick. > > >-----Original Message----- >From: Ammon Cooke [mailto:ammon@ucglink.net] >Sent: Tuesday, May 16, 2000 12:00 PM >To: fractint@lists.xmission.com >Subject: Re: (fractint) New Here > > >Sorry for being such a bother but pressing the e key & enter like she says >to doesn't work for me the colors just start cycling. > >P.S. if it is a bother to reply by all means DON'T reply if I am asking >this question at the wrong place PLEASE redirect me. > > >-------------------------------------------------------------- >Thanks for using Fractint, The Fractals and Fractint Discussion List >Post Message: fractint@lists.xmission.com >Get Commands: majordomo@lists.xmission.com "help" >Administrator: twegner@fractint.org >Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" > >-------------------------------------------------------------- >Thanks for using Fractint, The Fractals and Fractint Discussion List >Post Message: fractint@lists.xmission.com >Get Commands: majordomo@lists.xmission.com "help" >Administrator: twegner@fractint.org >Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Ammon Cooke Subject: RE: (fractint) New Here Date: 16 May 2000 11:02:06 -0600 At 12:51 PM 5/16/00 -0400, you wrote: >so while generating an arbitrary fractal you do not get a grid outlined in >white? Nope I don't. I am running version 18.21 if it makes any difference. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Doug" Subject: Re: (fractint) FOTD, 16-05-00 (Ruby-Red Minibrot [4]) Date: 16 May 2000 16:32:09 -0400 Not Found The requested object does not exist on this server. The link you followed is either outdated, inaccurate, or the server has been instructed not to let you have it. Please inform the site administrator of the referring page. All i get is the message above for the > FOTD -- May 16, 2000 (Rating 4). Doug ----- Original Message ----- Cc: Sent: Tuesday, May 16, 2000 10:48 AM > > FOTD -- May 16, 2000 (Rating 4) > > Fractal visionaries and enthusiasts: > > Today's fractal, which shows a midget surrounded by ruby-red > elements, and the ruby-red elements surrounded by a celestial > blue background, is named "Ruby-Red Minibrot". The name is > purely descriptive. > > I confess, I did post-process the image just the slightest. I > did so to liven the colors, which in the un-intensified version > were muddy and dull. But the sin is not as great as it seems, > for with a bit more effort, I could have achieved the same > result with the Fractint color editor. > > In yesterday's FOTD I mentioned fractals that are created by > formulae that contain negative powers of Z. Today's image, > which was drawn by the formula Z^(-2)+Z^(-23)+(1/C) is a typical > example. > > Normally, the fractals of negative powers appear as an ocean > dotted with islands. This is in contrast to the positive > powers, where the fractals appear as a landscape dotted with > lakes. But by juggling C, a fractal may be turned inside-out. > The landscape can be turned into an ocean and vice-versa. By > calculating 1/C instead of C, I have turned the ocean of today's > fractal into a landscape with a big lake. > > When a fractal is turned inside-out, the overall appearance > totally changes, though the inner details usually remain > unchanged. But sometimes, for reasons I cannot determine, > fractals of the M-Mix4 variety that have no midgets when they > appear as oceans with islands, do have midgets when they are > reversed and become landscapes with lakes. The effect is > probably only apparent, but some fractals do appear far richer > when turned inside-out. > > The parent fractal of today's image is a curiously distorted > hodge-podge of Mandelbrot sections. In it, the normally > near-circular negative-power disks have been distorted into > shapes that almost seem to be trying to form themselves into > equal-iteration bands. I may further investigate this fractal > when the day's business is completed. > > On my P200, the parameter file rendered in 10 minutes plus > 1/100th of a second. On the internet, the JPEG'd image file > will download in far less time. That image may be found posted > to the Usenet newsgroup: > > > > and to Paul Lee's web site at: > > > > The weather yesterday finished as perfectly as it started, the > partly-cloudy skies and afternoon temperature of 68F (20C) being > just warm enough for the cats to enjoy. Today is starting out > the same. > > And now, I must put fun and games aside, and turn to things that > are far less enjoyable but far more profitable. Until next > time, take care, and keep those fractals coming. > > > Jim Muth > jamth@mindspring.com > > > START 20.0 PAR-FORMULA FILE================================ > > Ruby-Red_Minibrot { ; time=0:10:00.01, SF5 on a P200 > ; Version 2000 Patchlevel 9 > reset=2000 type=formula formulafile=critical.frm > formulaname=MandelbrotMix4 function=recip passes=1 > center-mag=+1.71209342945824300/-0.00604668420008057\ > /46921.65/1/-37.499 params=1/-2/1/-23/0/0 float=y > maxiter=1400 bailout=25 inside=0 logmap=75 > symmetry=none periodicity=10 > colors=000H3SD7_8Ag5Dn0Fv0Iz0Lz5TzH_tQfl_mcitVqyOpvS\ > otUnpXmnZmjalhdjdgibihZlhXnYMYOBFD00H20L20P30S30V50Z\ > 50a72d72h83j85nA5qA7tA7uBFuBMuBUuB_uDguDmuDtuDyuDznH\ > zgKzaOzUQzOTzQSzSQxTPtVOpXMmYLh_KdaI_bHXdFTfEOgDKiBE\ > jAAlA5gDLcFZbLX<2>aXPa_M_dK_hH<2>Zr8aqEbpKcoOdnTfmY<\ > 3>lhnmgrnfv<3>qYqrVprUptSotQnuOmvLlvKlwHjxEixDhyAgy8\ > gbdXDzLLzXTvgZppfjzlfz<4>q_zrZztYztYz<3>xTyySxzQwzQw\ > zbyznzzyzzzzzzuzunwnfrgZqiYpjXolXnmVmnVloUjpUjrTitTh\ > uSgvSfwQdxQcyPczPayPZxQXwQUwSSvSPuThMLdLOaKQYITVIVSH\ > YOF_KEbHEdDDg8Bi3Al0AnFFlSLiYKf<3>pchuhiymizpizol<3>\ > worvntunvtnwrny<3>nmzmmzlmzjmz<3>aczZayXZwUXv<3>KMmH\ > KjI0YEIiBYu8lzLnzXozirzfpzbowZmrVlnSiiOhdKg_FdVBcQ7a\ > L2_F0X50ZA2_E7bIBcMEdPIfO<4>VgHYgF_gEchD<3>mi7oi5qi3\ > ti3vl5xm7zn8M5XK5VI3T > } > > frm:MandelbrotMix4 {; Jim Muth > a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), > g=1/f, h=1/d, j=1/(f-b), z=(-a*b*g*h)^j, > k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): > z=k*((a*(z^b))+(d*(z^f)))+c, > |z| < l > } > > END 20.0 PAR-FORMULA FILE================================== > > > -------------------------------------------------------------- > Thanks for using Fractint, The Fractals and Fractint Discussion List > Post Message: fractint@lists.xmission.com > Get Commands: majordomo@lists.xmission.com "help" > Administrator: twegner@fractint.org > Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Ammon Cooke Subject: (fractint) How Do I subscribe to a Usenet Group Date: 16 May 2000 15:32:47 -0600 Jim Moth, I would like to get your pictures through Usenet. I have exhausted all my resources trying to find out how. If you can help me I sure would appreciate it. Ammon Cooke. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Angela Wilczynski" Subject: Re: (fractint) New Here Date: 16 May 2000 19:18:11 -0700 ammon.... sorry to be testy......part of the problem in answering your questions is that they are general in nature. If you are in winfract, the fractint lessons are of no use. As far as I know, you can only edit a color map in the dos version of fractint. Thus, you need to ask questions about getting your machine to run the dos version of fractint first. This can't be done on an NT machine, but I can run fractint dos fine with win98 and my milleneum video card. Of course I chose my video card to be compatible with fractint.....<<<>>>> Other than these hints, I'm useless. wizzle Ammon Cooke wrote: > > ok, I am running winfract because I cannot get fractint(dos) to work on my > machine. When I press e like the help says to do nothing happens if I press > enter like Linda's tutorial says to I get color-cycling. How do I avoid this? > > At 12:07 PM 5/16/00 -0400, you wrote: > >its color cycling because your in color cycle mode. > >don't press C. > > > > >From the normal fractal generation screen press E, position the grid on the > >screen where you want it and then press enter. > > > >Try F1 (help), its very thorough and quick. Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD, 17-05-00 (Pattern Number One [5]) Date: 17 May 2000 10:42:28 -0400 (EDT) FOTD -- May 17, 2000 (Rating 5) Fractal visionaries and enthusiasts: If a fractal with x-axis symmetry is combined with another fractal with x-axis symmetry, the result is a new fractal with x-axis symmetry, right? Not in all cases. In today's case, I took Z^(-2), added Z^(-16), and finally added 1/C. I found that the resulting fractal, part of which lies off the right edge of the default screen, comes nowhere close to having x-axis symmetry. But even though it has no symmetry, the fractal is full of interesting places filled with extraordinary midgets. Perhaps the most interesting thing with this fractal is the nature of the elements that it is composed of. I expect the elements of fractals that contain negative powers of Z to be disconnected and roughly circular disks. Today's parent fractal contains two negative powers of Z, yet the elements almost seem to be trying to form the equal-iteration bands of the positive- exponent fractals. I must further investigate this situation. The parent fractal of today's picture is also a good example of how to find midgets in M-Mix4 images. Notice the edge of the lake. In some places it resembles the shoreline of the classic M-set, with well defined circular Mandelbrot buds. In other places the shoreline is more irregular, resembling the shoreline of a Julia set. The midgets are most likely to be found in the areas that resemble the shoreline of the M-set, and in these areas they can be found in the same manner as they can be found in the classic M-set. The areas that resemble a Julia shoreline are trickier. Midgets are never found in a straight Julia set, but despite the Julia-like appearance of some of its parts, today's parent fractal is a Mandeloid, and is therefore unpredictable. The only way to know whether midgets lie in this area is to search carefully. There might be midgets in the Julia-like areas of today's parent fractal -- I don't know because I have not yet looked. Up until this point I've been describing the parent of today's picture. Little description is needed for today's image, as the image speaks for itself. (A talking fractal?) It is a scene in one of the Mandel-valleys of its parent. I named the picture "Pattern Number One" for the same reason that Brahms' first symphony is known as "Symphony Number One". The parameter file takes about 6 minutes to render on a modest Pentium. I have posted the JPEG file as always to Usenet at: and I assume Paul Lee has put it on his web site at: If the web site is not working, do not contact me. I have no connection to the FOTD web site, which is maintained by Paul. Any problem is likely due to the fact that I am now posting my FOTD discussions on the morning of the day they are dated instead of the evening of the day before. The fractal weather yesterday was near perfect, with lots of sun and a temperature of 72F (22C) that brought out the best in the cats. A light rain fell overnight, but this morning it has cleared, and the day is once again starting out perfect. The philosophy is in a momentary lull. But it has not died. It is merely seeking a new direction, and will return shortly, rising hopefully to new and greater heights. A far greater problem is the fractal cats, who are seeking their breakfast, and some customers, who are seeking their jobs. As a result, I must call it a day for the FOTD, but I'll return tomorrow with another fractal and other goodies. Until then, take care, and may your fractals be successful. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Pattern_Number_One { ; time=0:05:56.80, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.883032444680883/+0.3246828650922495/4.\ 062883e+009/1/-139.999 params=1/-2/1/-16/0/0 float=y maxiter=1600 bailout=25 inside=0 logmap=104 symmetry=none periodicity=10 colors=000A0GA0GA0G<3>A6GA8GACI<3>ASPAVRAZT8bU<2>4jZ\ <2>8hkFcmL_oRVqYRq<2>oEk<6>sSYsUWtWU<3>ucMxcNpZ0<3>d\ RAaPCZNE<2>QHLNGNMHO<8>GJPGJPFJP<3>DKP<3>QRNTTNXVM<3\ >h`L<3>McNHcOBdO6dO<3>N`LR_LWZK<3>kVI<3>aQG_PGXOF<2>\ QLEOKENLF<8>HTJGTJFUK<3>DXL<5>YIX`GZdD`<3>q4g`C`LJV<\ 8>UMHVNFWNE<3>_O8<3>GEaBBh69o17vmm9he7dY5<8>blabmebo\ i<2>bttbuw`pr<3>W`aUXYTTU<3>ODD<3>H_E<3>AgF9iFAlH<3>\ DsPDuREwTFxUFyW<3>IzcJzeJzfMzjPzm<3>8zn4zn0zn<8>QzgT\ zfWze<2>dzcfzcgza<5>lzSmzRnzP<2>qzKqzJpzNozRnzVBzI<2\ >1zH } frm:MandelbrotMix4 {; Jim