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 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: 17 May 2000 17:06:49 -0600 I'm sorry for being so vague I didn't realize there was that much difference between Winfract & Fractint. Rui Parracho is helping me off of the List. It is beginning to make sense now. At 07:18 PM 5/16/00 -0700, you wrote: >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 Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Paul N. Lee" Subject: (fractint) Re: [philofractal] FOTD, 17-05-00 (Pattern Number One [5]) Date: 18 May 2000 04:30:05 -0500 Jim Muth wrote: > > I named the picture "Pattern Number One" for > the same reason that Brahms' first symphony > is known as "Symphony Number One". Actually, this probably should be "Pattern Number Two". The original "Pattern Number One" was posted about a year ago: http://home.att.net/~Paul.N.Lee/FotD/FotD_99-05-10.html > > 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. I used to update the latest FotD late at night after I got the email and image. But since it now arrives late in the morning, I'm already at work busy keeping a Data Processing Department running for all offices throught the country. No time to take a break and do this during the day, so it will be after I get home before the web pages get updated. Sincerely, P.N.L. http://www.fractalus.com/cgi-bin/theway?ring=fractals&id=43&go Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD, 18-05-00 (Minibrot Seascape [6]) Date: 18 May 2000 09:37:12 -0400 (EDT) FOTD -- May 18, 2000 (Rating 6) Fractal visionaries and enthusiasts: It has been pointed out that yesterday's FOTD, which I named 'Pattern Number One' actually should have been named 'Pattern Number Two', since I had already named a FOTD 'Pattern Number One'. With about 1000 FOTD's behind me, and the number constantly increasing, the likelihood of duplicated names will only increase. After all, when one reaches the second half of life, the thinking patterns start to become more routine. Maybe I should start giving opus numbers to the FOTD's. I only hope that my fractal midgets never become routine. I need not worry too much, for today's fractal is safe from being routine. It is a midget which until this time has never been seen by the eyes of man, nor by the eyes of anything else. The picture bears the name "Minibrot Seascape". There's no logical reason why I gave it this name -- nothing watery is in the scene -- the thought of an undersea landscape simply came to mind while I was studying the image. When I study an image in search of a name, I disengage my mind (an easy thing for me to do) and let nature take its course. Sometimes the result has an obvious connection with the image, sometimes not. The formula combines -2 portions of Z^(-2) with -2 of Z^(-30) then adds 1/C. The result is a fractal with more nooks and crannies than . . . well, nothing has more nooks and crannies than a fractal. Regardless, it's an image with much potential, which I may look further into in the days to come. At 22-1/2 minutes, the parameter file is exasperatingly slow. (Does anyone actually run these parameter files?) The download of the image is much faster, and will save much effort. That download may be found on Usenet at: and in a few hours on the W.W.W. at: The fractal weather remained fair and mild all day yesterday. Warm sun and a temperature of 72F (22C) lured the cats into the yard, where they passed the afternoon chattering at birds. Today however is starting out not so good, as a layer of clouds has moved in overnight and a brisk breeze has sprung up from the south. We'll see how the day goes. And right now I've got to see how the work goes, so until next time, take care, and is a fractal an animal, a vegetable or a mineral object? Or is it none of the above? Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Minibrot_Seascape { ; time=0:22:29.79, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.01252857910207100/+1.26423261184212900\ /3333951/1/170 params=1/-2/1/-30/-3/0 float=y maxiter=7200 bailout=25 inside=0 logmap=234 symmetry=none periodicity=10 colors=0000900C00E20H60I90LC0MF2PI4RL6UO9VRAYUC_WEa_\ HcaIedKggMjjOklPnoSorUruVsxVwyWuzYsz_rz`rzaqzaozcnzd\ nzelzgkzgjzhjzjhzkgzleznezndzoczqazrazs`zs_zuYzwYzxW\ zyVz<3>yWzyWzyYzyYzyYzyYzy_z<3>y`zy`zyaz<2>yazoYsoYs\ o_uo_uo_w<3>o`yo`zo`z<3>oazwhzoazhWxaRqVLjOFaH9V92O1\ 0H009007007<2>707907A17E27F47I67K77L97OA7PC7SE7UF7VH\ 7YI7_L7aO7cR7dS7cS6cU6cV6cV6cW6cV6cU6cR6<3>cK6cI6cH6\ cH6cF6cF6aF6<3>aE6aE6aC4aC4aC4aA4<2>aA4a94a96a97a99`\ 7A<3>`6H`6I`6K`6L`4L`4M`4M`4O`4O`4P`6P`6R`6R_7S_7S_7\ U_9U<2>_AW_AW_AY_CY_C__C__E`_E`_Ea_Fa_Fc_Fc_Hd_Hd_He\ _Ie_Ig_Ig_Kh_Kh_Kj<3>_Ml_Ml_Mn_On_Oo_Oo_Pq_Pq_Pr_Rr_\ Rs_Rs_Su_Su_Sw_Uw<3>_Vy_Vz_Wz_Wz_Wz_Yz_Yz__z<3>_az_a\ z_cz_cz_dzWdzVezUezRgzPgzOhzLhzKjzIjzFjzEjzCjz9jz7jz\ 6jz2jz1jz<5>0jz } 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, 19-05-00 (Four Perfect Spirals [6]) Date: 19 May 2000 10:27:56 -0400 (EDT) FOTD -- May 19, 2000 (Rating 6) Fractal visionaries and enthusiasts: Four perfect spirals of such generous proportion are rarely seen in such close proximity to midgets. This fact alone makes today's image worth the minute or so it will take to download it from Usenet at: or from the Web at: It's up to the individual viewer to decide whether the image is worth the 1/2 hour or so it takes on a Pentium to render from the parameter file. The formula that created today's picture is 2Z^(-2)+2Z^(-15)+(1/C), which is another of the same type I've been playing with the past few days. The parent fractal of today's scene is a rather messy looking Mandeloid with several areas of possible interest. The area that caught my eye is a detached and twisted Minibrot just south of the main fractal. This Minibrot has its period-2 bud twisted so far to its south side that its north period-3 bud is as large as the period-2 bud. I found today's scene when I investigated one of the valleys of this oversized period-3 bud. The coloring is unusually intense, perhaps a bit too intense. I created the intensity in a separate graphic program, though with a bit more effort I could have done the same in Fractint. I named today's picture "Four Perfect Spirals". I leave it to the viewer to decide whether the image is art. Can anything turned out on a production-line basis, such as the FOTD, be art? My opinion is that the FOTD is more entertainment than art. At least, that's how I approach it, trying to make it as interesting as possible. Sometimes art happens when I create my FOTD images; sometimes not. But regardless, the FOTD goes on, as it has for over three years and most likely will for many more. The fractal weather yesterday turned quite muggy as the day progressed, though the brisk breeze continued well into the night, making things reasonably comfortable. The cats must have agreed with the 88F (31C) degree temperature, for they spent most of the day on the porch, watching the world go by. Today is starting out cloudy and cooler, with the weather experts promising rain. But none has yet fallen. And now it's already after 10am -- time to lay the FOTD aside until tomorrow. Until then, take care, and fractals are no more or less than what you make them. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ FourPerfectSpirals { ; time=0:29:18.22, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.09743271960894634/-1.19914809623739200\ /1.109749e+009/1/-139.999 params=1/-2/1/-15/1/0 float=y maxiter=7200 bailout=25 inside=0 logmap=466 symmetry=none periodicity=10 colors=000IH4IH4KJ8NMD<2>VUOYXS_ZX<3>jikmkoonsiqvbrw\ XsyQszJuz<2>0wz7sw<2>RkcYiYefQ<2>yZ6zX03zg7z_AuUDnMF\ gFIa7KX0MV0NU0OU0QS0<2>UQ0VQ0XO0YN0YN0ZM0_K0<3>eI0fH\ 0gH0iF0iF0jM6jRBjXHjaKjfQjkVjg_jfcckiZbmUSrOJvJOzE0z\ B6z8Bz6Iz4Nz2Sz0Zz0cz0jz0oz0uz0sz0sz0sz<2>0sr0so0qk0\ ni0mf0jb2i_4fY7eV8bRBaOEZMFYJHVMHSOHRRIOUIMXIKYJI_JH\ bJEeKBgKAiK7kM4nM3qM0sMKuQ7nUOgXXa_VVbbOfjIikBz_DrZD\ vQDzREz6Ez0Ez7NzHV<2>oirsbjwYbzRXzMOzHI<4>zVIzYIz_Iz\ cIziIznI<3>z_HzXHzVHzSFzRF<2>zKFzIFzHEzEEsBEmAEf7E_6\ EUDENBFJAFQ8H<3>e3Ii2Jm0J<2>y0Kz0Mz0Mz0Mz0Kz0Jz0Jy2I\ w4Iu7HrAHoBFmEFkHEiJEfKDcNDaQBYR8_SBaUDbVEcXHeYIfZJi\ _KjaN<2>neSofUrfV<2>vf_wfazfeyfb<3>jfSffQbfN_fKXfISf\ FOfDHf2MfAQfIVfQZfXbfcgfkkfsqfzofz<3>mfkmfgkfe<3>ifR\ 0fX0fX0fV0fU0fU } 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, 20-05-00 (Mandelbrot Muffin [5]) Date: 20 May 2000 12:42:21 -0400 (EDT) FOTD -- May 20, 2000 (Rating 5) Fractal visionaries and enthusiasts: I realize that today's FOTD is a bit late, but I have yet to work out a new schedule for posting. But the irregularity is only temporary. In a day or so things will be back to normal. It's Saturday morning and all is well here at Fractal Central. The Fractal cats are irritable however, sitting with their backs to me with tails thrashing because it's raining and they can't go out. I tried to comfort them by telling them that it's also raining on the Preakness horse race, which is the biggest event we have here in fractal-land, but it did no good. They're still angry, and the weather being as it is, I guess they'll have to stay angry. Bad weather is no handicap to finding fractals however. For today's fractal I searched the image produced by the formula Z^(-2)+Z^(-22)+(1/C). This formula draws images of a type I have largely overlooked until now. But just because I haven't been there doesn't mean that the area has nothing worth seeing. I named the picture of today's midget "Mandelbrot Muffin" when I suddenly got the urge for a blueberry muffin while studying it. The scene doesn't really bear that close a resemblance to a muffin. What it does resemble is the typical midget that lies in the East Valley area of a larger midget, which by some strange coincidence is exactly what it is. Taking almost 9 minutes on a Pentium200, running the parameter file is the slow way of viewing the scene. The fast way is to download the GIF image from the Usenet group: or from: I have posted the GIF version because my JPEG'ers are all tied up with other tasks. The fractal weather was rainy all day yesterday, with a temperature of 64F (18C) that made the cats unhappy. Today is starting out cloudy cool and drizzly, which is keeping them unhappy. Unfortunately, since all good things must come to an end, we've reached the end of the FOTD. I see it's time to finish the little bit of serious work that needs to be done, and to comfort the cats with a can of tuna. Then I might rush to the store for a blueberry muffin. Until next time, take care, and keep your fractals dry. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Mandelbrot_Muffin { ; time=0:08:41.40, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.59329437402630500/-0.05114688997943100\ /1116678/1/-60 params=1/-2/1/-22/0/0 float=y maxiter=2100 inside=0 logmap=158 periodicity=10 colors=000uOEtQE<3>sYMs_OsaQrcSreUrgWqiZ<2>qni<3>XZd\ RWbMSaHO`GRXFUSEXPD_KCbGEaLH_PNZUUYY<3>iTo<3>ZAv<14>\ bdwbfwchw<3>cpw<11>ShkRgjQfi<3>Mdf<3>mLctGbzCb<8>eAH\ cAFaAC<3>TA3<4>HRIEVLCYO<2>5gX3jZ2f`<5>1Mk1Im1Fo<2>1\ 4u11v33t<15>RXbTZ`U`_<3>_gW<3>FdGAcC5b80b4<4>QPOWNR`\ KV<3>tAi<3>jGbhH`fIZdJY<3>e6Ce37ZBISITMPcUO`cNZmNXzc\ VzUTu_RmKP<3>BIH<3>7F96E75E54D33D1<3>BHODITFJZ<2>KMn\ <5>RSlSTkTUk<2>WXjXYjWZf<2>UaWUbTRcS<3>JgSGhSEiS<3>6\ mS_nX<3>er_fs`gta<3>lxchyc<4>TzcvzMuzNuzP } 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, 21-05-00 (Star-Spangled Midget [3]) Date: 21 May 2000 11:05:32 -0400 (EDT) FOTD -- May 21, 2000 (Rating 3) Fractal visionaries and enthusiasts: This FOTD is a filler. I'm writing it at 10:15am of Sunday, May 21. When I post this discussion in about 45 minutes, I'll immediately start writing the discussion for May 22, which I'll post at the usual hour late this evening local time. By being a day ahead, I can write in the mornings when I'm fresh, and post the discussion in the evenings when it's most convenient. If all works out, this will result in more lively as well as more prompt FOTD's. I named today's FOTD "Star-Spangled Midget". While studying it, I was reminded of the star field in the U.S. flag, which is sometimes called the star-spangled banner. Actually, this is the title of the U.S. National Anthem, the melody of which was borrowed from a German drinking song, and the words of which were written by Francis Scott Key, who was detained on a British ship in the Baltimore harbor during the bombardment of Fort McHenry in 1814. After wreaking a little havoc, the British eventually ran out of cannon balls and went home, leaving us with our anthem, which is sung, usually horribly, at the start of most every sporting event and festive occasion. On clear days the harbor where Mr. Key penned those immortal words is visible from the window here at Fractal Central. Today however is not a clear day. With the history out of the way, we can now concentrate on the actual fractal image for today. Today's midget lies deep in the figure that results when the expression Z^(-3)+Z^(-33)+(1/C) is iterated. It is located on one of the spiral filaments of that figure. I can rate the picture only a below-average 3, since I put so little effort into it. If you choose to run the parameter file, the 12-minute render time could lead to frustration. For relief, the completed image has been posted to: and to: Light mist fell all day yesterday, with a temperature of 54F (12C), which was cool enough to make the heat come on and the cats seek the radiators. Today is starting out just as cool and misty, with no end to the dreary weather in sight. And now it's time to end this FOTD and get started on tomorrow's FOTD, which I'll post at the usual time this evening. Until then, take care, and rejoice, for the next FOTD is but 12 hours away. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ StarSpangledMidget { ; time=0:12:03.37, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.68388101203406610/-0.50768412084923890\ /5795859/1/-12.499 params=1/-3/1/-33/0/0 float=y maxiter=2000 bailout=25 inside=0 logmap=190 symmetry=none periodicity=10 colors=0003BE39E38G37I<4>66S66U76W<2>86a86c96c<3>B6e\ B6eB6e<2>D5jD5kE5k<6>H5nH5oI5o<2>J5qJ5qK7q<3>NBqNCqO\ Dr<17>ZWkZXk_Yj<3>bbibdhcfh<3>enffpffrfgvehyehzdizd<\ 3>fxcewbdwbctbbtbasa`ra_raZraZp`<2>Wo`Vo_Un_Tm_Sm_<3\ >OkZOjYNjY<2>KfXJeXIbXH`XG_WFXVETUCUUEUSGSQHQO<2>MRJ\ NRHPQH<3>VHMXFNYDM_BLb3I<3>XRRWXTUbV<2>Qt`OzaPyb<11>\ QyeQyeRyf<2>RygRygRwg<3>SohSmiSkiSiiRgjSei<3>PYeOXdN\ Wc<3>JS`IR_IQZJPY<2>JRWJSVLTUPUTOVSPWRTXQ<2>T_OT_NU`\ MU`LUaK<4>UcGUcFUcE<2>UeBUeBWfE<3>chMeiOfjQhkSjlUlkW\ niYph_rhc<3>vfYwfXxfVyfU<6>zdKzdJzcHzcGzcE<3>zcCzcCz\ cBzcA<2>zcA } 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, 22-05-00 (Fractal Fiesta [5]) Date: 21 May 2000 23:44:40 -0400 (EDT) FOTD -- May 22, 2000 (Rating 5) Fractal visionaries and enthusiasts: It's now almost noon of Sunday the 21st, and for the second time in one morning I've found a respectable fractal. (Will miracles never cease!) In fact, this one rates a five, which is two points above the "Star-Spangled" fractal that I posted 12 hours or so ago. Actually, I feel I under-rated that earlier image a bit. But I'd rather be conservative than overly generous with my ratings. Today's fractal makes a real splash. The very active pattern of radiating filaments around the central midget reminds me of an attention grabber that might be found in an advertisement for a big event, such as a festival. At first I named the picture "Fractal Festival", but when that name didn't seem lively enough, I gave it a latin flavor by changing the name to "Fractal Fiesta". The parent fractal is a multi-lobed inside-out affair with numerous places of interest. In fractals such as this the most interesting midgets often lie in features that have no similar-appearing features in the classic M-set. Today's midget for example lies on a zig-zaggy filament extending from a bud at the east end of the parent fractal. The midget is located very near the point where the main filament intersects a spurious fragmentary filament that arises from nowhere. The scene is one of those that I found by instinct, since a few out-zooms will reveal a scene that shows no promise whatsoever of holding a midget. I have no idea why I searched where I did -- I just got that 'fractal feeling' and went to see why. The formula behind the festive image is Z^(-1.1)+(Z^-11)+(1/C). The reason that the value of the second exponent is exactly 10 times the value of the first is total whimsy, and has no effect on the resulting image. The four minute render time is a bit slow for casual viewing, the better choice being to download the JPEG image from: or from: and save yourself the frustration. The fractal weather continued cloudy and dreary all day, though the active rain stopped before noon and the sky brightened in the afternoon. The day was milder, with a temperature of 64F (18C) which should have been satisfactory for the cats. But the cats, for reasons known only to themselves, chose to remain indoors, sleeping in their favorite chairs. The fractosophy is in a momentary lull, but fear not philosophy fans, my (IMO) wisdom and insight will again be revealed in the near future. And who knows, one of these days I might even say something of value. So until next time, take good care, and fractals are fractals in any universe. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Fractal_Fiesta { ; time=0:04:11.56, SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.45952205775340900/+0.03473559953500786\ /4.158451e+007/1/152.5 params=1/-1.1/1/-11/0/0 float=y maxiter=750 bailout=25 inside=0 logmap=78 symmetry=none periodicity=10 colors=0000Zs0aq0Xo0Wn0Ul0Tj0Ui0Pg0Re0Md0Oc0KZ0L_0FY\ 0IX0CU0HU0BQ0ET19O5BR9CMIEUPFXZM_eOcoWewVizdlz_nzeoz\ cqz_qzXszWswTsvPqsMqoLolIojFngCndBlc8l_5jX2jW1jZ5e_9\ ccE_dHX<2>lTOnXLoaIsdFtiCwn8yq4zv0zz0zz0yw5tqIolWjei\ e_waWz_ZzZ_zZcyXdvXesWinWjjUneUocTq_RtWRvTPyOPzLOzIO\ zEMzBMz8PzBRzCTzEUzHWzIXzKZzMazOczPdzTeyUgyWiwZjw_lw\ aotWqsPsqKvoEwn8yl2zj0zi4zgBzgIzePzeXzddzdjz_gvXdoUc\ iP_dMXZKWTFTMCRI9OC5L72K10H00F00M01T12_24e45n57t78z8\ 9z4Lt0We0gT0sF0qE1qE4qC8qCBqCFqBKqBMq9Rq9Uq9Xs8Zs8_s\ 8cs8ds8es8it7jt7<2>qt7st7tt7Xg1BW0Hc0Li0Rq0Ww0_z0Xz0\ Wz7<3>Mz_KzgIzoHzwBzz7zz2zz0zz8zz<3>nzzyzzzzz<3>zzzz\ zzzzzzztzzlzzdyzXyzRwzOvzKvzFtzBtz8nzB<3>WzHRzIMzKHz\ M<3>0zT<2>0zX7zl8ze9zaBzXBzTCzOEzKFzFFzBMzB<3>jzBqzB\ Cz9Cz8Bz7Bz49z2IzUlzzozzqzs<2>vzMwzE<2>jzOezRczW } 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: "Morgan L. Owens" Subject: Re: (fractint) Re: The Wonder Returns Date: 22 May 2000 19:55:00 +1200 At 10:49 16/05/2000 -0400, Collin Merenoff wrote: > >As far as I know, a critical line or curve would be impossible. > The function f(z)=Re(z)^2 is critical at every point on the imaginary axis, while f(z)=cos(|z|) is critical on concentric circles centred on the origin, with radii npi for n=0,1,2,... Morgan L. Owens. 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: "Jean-Pierre Louvet" Subject: (fractint) New version of the draft of the Fractal Art FAQ Date: 22 May 2000 17:40:02 +0200 Hi all, Version 0.4 of the FAQ draft is on line. It is a pre-release version, i.e. I wish to have version 1 on line in one or two weeks, after the latest additions and corrections that you may send me as soon as possible. You remember I have been incautious to a slight extent in the first versions about the descriptions of the main fractal programs. In this version I have freely used or modified parts of the texts sent by the authors and I have added some personal information. Therefore the texts are under my own responsibility and I will not change them, except to correct obvious errors. As always I hope that fractal-art@lists.fractalus.com is the best place to discuss about this FAQ. For private replies about the FAQ the best is F-art.FAQ@hse.iuta.u-bordeaux.fr http://www-hs.iuta.u-bordeaux.fr/F-art-FAQ/ Remember that I wish that no link points to this address before version 1 is ready. J.P. Louvet | Phone : (33)05-56-84-58-35 IUT Universite Bordeaux 1 | 33405 Talence CEDEX France | email : louvet@hse.iuta.u-bordeaux.fr Fractales sur serveur Web Universite Bordeaux I : http://www.cribx1.u-bordeaux.fr/fractals/ Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Guy Marson Subject: Re: (fractint) New version of the draft of the Fractal Art FAQ Date: 23 May 2000 01:44:26 +0200 At 17:40 22/05/00 +0200, you wrote: >Hi all, > >Version 0.4 of the FAQ draft is on line.=20 > >http://www-hs.iuta.u-bordeaux.fr/F-art-FAQ/ > >J.P. Louvet | Phone : (33)05-56-84-58-35 >IUT Universite Bordeaux 1 | >33405 Talence CEDEX France | email : louvet@hse.iuta.u-bordeaux.fr >------------------------------------------------------------------------- >Fractales sur serveur Web Universite Bordeaux I : >http://www.cribx1.u-bordeaux.fr/fractals/ >------------------------------------------------------------------------- tr=E8s bien, gratulations pour ce boulot! Guy Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: "Barry N. Merenoff" <110144.2274@compuserve.com> Subject: Re: (fractint) Re: The Wonder Returns Date: 22 May 2000 22:26:48 -0400 But those functions don't have a complex derivative. They only have separate partial derivatives that don't agree. This is because they use the functions Re and Abs, which are non-analytic= . 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: Jim Muth Subject: (fractint) FOTD, 23-05-00 (Bubbling Misfit [6]) Date: 22 May 2000 22:42:43 -0400 (EDT) FOTD -- May 23, 2000 (Rating 6) Fractal visionaries and enthusiasts: Today's FOTD has a midget in it. There's nothing unusual with that, since most FOTD's have at least one midget in them. Today's midget however is a misfit. While studying the scene for a name, I got a funny feeling about the midget. Something was not quite right with it. Then I saw it. The normal 2-4-8... series of features converging on the midget has gone awry. Instead there is a 6-12-24... series. The series doubles as it should, but apparently begins beyond the borders of the picture with 3 elements instead of 2. Not being a math expert, I will not venture a guess why this particular midget should be so different, but it is different, and I appreciate things that deviate, (in an unobjectionable manner of course), from what would normally be expected. The six bubbly elements instead of the expected eight make this image stand out from the ordinary. I named the picture "Bubbling Misfit" because that name accurately describes the scene and also because the name is unusual enough to make one stop and take notice. As usual, the formula is once again the MandelbrotMix4. I'm using this formula so often that it is becoming a notable event when I use a different formula. Today's parameters define the expression Z^(-sqrt(2))+Z^(-10(sqrt(2)))+(1/C), which is another parameter set I chose at random. I doubt that the negative square root of 2 in the formula has anything to do with the odd number of elements around the midget, since I have seen this type of irregularity appear in fractals created by other formulae. The area of the parent fractal where I found today's scene almost resembles the extra valley that splits buds of the cubic Mandelbrot set, and this could be the cause of the irregular number of elements surrounding the midget. As I said earlier however, I'm not a math expert, so I'm not too concerned with the reason why the odd number of elements appear. I simply make the most of them when they do appear. The attached parameter file takes 10 minutes to render on a Pentium 200mhz. The JPEG'd image file has been posted to: and to: from where it may be downloaded virtually instantly. The fractal weather today started with serious rain and even some thunder, but the rain became mere drizzle by afternoon, with a max temperature of 59F (15C). Unable to go outdoors due to the rain, the fractal cats are developing cabin fever. I can't blame them -- this is the fourth consecutive day they have been housebound. There is no philosophy today, but it is simmering along just beneath the surface, and could erupt at any time. The time of eruption may even be as close as tomorrow. So keep checking back. One of these days you'll be rewarded with the wisdom of the ancients. Until tomorrow, take care, and whatever happened to the wise old ancients? Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Bubbling_Misfit { ; time=0:10:01.76 -- SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.09541430829565900/+0.00001537142778094\ /117561.4/1/-90 params=1/-1.4142/1/-14.142/0/0 float=y maxiter=1500 bailout=25 inside=0 logmap=121 symmetry=none periodicity=10 colors=000JDHJDI<3>VHKYIL`JL<2>iMNlNNoOQrPSuQU<7>xJj\ xImxHo<3>yEw<3>ZFcSGZLGUEGP8GL<6>BKUBLVBLW<3>CO`DOXD\ KTDFQEGREEKEESEKUFNXFPXFTX<3>FWWGWWGXVGXVGYV<3>H_QH`\ PHaO<2>HbKrcJmcImdJrQKrWLmWMkfNjaOcfPIgQ<10>Il`IlaIl\ b<3>InfIwgKrdMea<3>UOSWKPXGN<10>QcAPe9Pg8Oi7Ok6Nm5Mq\ 4wz3Lw2Lz1Kw2Jt3Jq4<3>Gj7Fi8Fg9EfADdB<10>6cK5cL5cL<3\ >2cQ2cR1cS1cT0cU0cV<3>8cPAcNCcM<2>IcHccGmcEwcDwcBzcA\ zc8zh9zcAwcBwcC<3>LcG<3>FcJEcKCcL<3>7kP6mPAoXDqdFsq<\ 4>KnTLmOMlJHi6<3>dpciqkjpi<24>tVEtUDuTC<2>vQ8vQ7wR8<\ 2>zS8zTGzTGzTH } 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: "Morgan L. Owens" Subject: Re: (fractint) Re: The Wonder Returns Date: 23 May 2000 19:22:54 +1200 At 22:26 22/05/2000 -0400, Collin Merenoff wrote: >But those functions don't have a complex derivative. They only have >separate partial derivatives that don't agree. >This is because they use the functions Re and Abs, which are non-analytic. > Mea culpa! Mea maxima culpa! How do I expect them to be analytic when they have so much trouble just being differentiable?! I can only offer in excuse the fact that over the last week I've lost a cumulative total of eighteen hours sack time. This didn't stop me successfully completing the project I was losing sleep over though, so it's kind of a weak excuse. Morgan L. Owens "I have to keep shifting mental gears, but the clutch keeps sticking." 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, 24-05-00 (A Nice Fractal [7]) Date: 23 May 2000 22:45:57 -0400 (EDT) FOTD -- May 24, 2000 (Rating 7) Fractal visionaries and enthusiasts: The day started with a blaze of glory as the deep fat cooker at the local McDonalds restaurant erupted into flames just as I was finishing reading my newspaper and eating my junk breakfast. Luckily, the manager had the presence of mind to grab the fire extinguisher and douse the flames even before the fire brigade arrived. No serious damage was done, but it was an exciting start to what otherwise would have been just another dull Tuesday. Today's fractal is not nearly as exciting as a large pan of burning fat, but it's still worth seeing. People use the word 'nice' when they wish to praise something, but can find nothing specific to praise. It's one of those vague, broad, good-sounding, all-purpose adjectives such as 'great', 'fantastic', 'amazing', 'superb', 'outstanding', and 'exquisite', which writing teachers tell tyro writers never to use. Even so, it is all I could think of to describe today's image. Today's FOTD is a nice fractal, so I named it "A Nice Fractal". It is so nice that I rated it a somewhat exaggerated 7, which translates to above average on my 0-to-10 scale of FOTD worthiness. The colors are nice; the sinuous elements surrounding the midget are nice; the sinuous holes in the image are nice; the formula that drew the image, which is 0.5Z^(-0.3)+0.5Z^(-3)+(1/C), is nice and neat; the mild 3-D effect adds a nice touch, as does the slightly askew aspect of the inner pattern. And it is nice that the proper 2,4,8... number of elements are to be found around the midget. The formula that created the image continues the theme of the past few days, which is to take a low-value negative power of Z and add the negative power with ten times the value, and then add the reciprocal of C. When this is done, the resulting fractal resembles a lake rather than the expected island, and the fractal is loaded with midgets. The midget in today's image lies in a minor valley of the parent fractal. This parent fractal is filled with other interesting places that hold other interesting midgets, some of which will eventually be seen by human eyes, but an infinite 100 percent of which will never be seen. (Infinity is paradoxical.) And there are an unlimited number of possible fractals with midgets. In fact, if I found a new midget for every minute of eternity, I would still have found exactly zero percent of all the midgets that exist. The parameter file of today's image takes 17-1/2 minutes on a Pentium 200mhz machine. On the fastest machines that time may be cut to 5 minutes or so, but the most efficient way to see the picture is to download the image file from Usenet, where it has been posted to the binary newsgroup: The image may also be seen on the Web, where Paul has or soon will post it to his FOTD web site at the URL: The fractal weather today was overcast with occasional sprinkles of rain. The temperature of 68F (20C) felt comfortable enough, but the wet grass kept the fractal cats confined to the porch, where they showed their displeasure by passing the afternoon hunkered down in their sulkiest attitudes. The fractal philosophy is still cooking, but the time will soon arrive when it will ready for the world to see, and when that time comes anything could happen. I may even answer the riddle of the universe, (but don't count on it). One certain thing is that it's time to get serious and tackle the day's work. Until next time fractal fans, take care, and may nothing but nice things happen. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ A_Nice_Fractal { ; time=0:17:33.52 -- SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.84571875602007300/+5.79283748228003700\ /10053.87/1/45 params=1/-0.3/1/-3/-0.5/0 float=y maxiter=10000 inside=0 logmap=162 periodicity=10 colors=0005GL5OL<3>4SL4KL4TL8PNBVPFYRIWT<3>WZ`__bb`d\ e`e<2>sqUQ9uVDvZHwbLx<2>wTf<3>YdnSfoMiq<2>3qv<4>FcaH\ aYJZU<3>SPE<2>5Cj<3>GOnJRoLUp<3>WetYcu`kvcnzeqxttyjw\ y<8>WPfUMdSIb<2>N6XM3VN7Y<5>RUiRYkSam<2>UmsUpuWqs<8>\ jvgkwemwd<3>sy_<3>VbLiYIMZJW_JI`KGOKEaK<3>6dM4dM9`M<\ 3>QOMVLMZIM<3>o5M<3>k5WgKZw5`h5c<3>d5mc5ob5r<2>_5y<3\ >NEfKGaGJY<3>4Ra<6>GKhIJiKIj<3>QEn<2>h_q<3>lZumFv<3>\ m9wm7wm6w<5>mJwmLwmOwmQw<7>mZwm_wm`wmawmbw<9>mcwmcwm\ bw<11>mdwmdwmcw<3>mdwmdwmdw<10>mcw } 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) Lake Transform Date: 24 May 2000 20:39:10 EDT Hi, I just love the "Lake Transform" by Sylvie Gallet. It is a fabulous piece of work. Does it depend on Fractint and its formula parser to work its magic, or could it be implemented as a Photoshop filter, so it could be applied to any picture? Or does such a filter already exist? Thanks, Lee Fairbanks 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, 25-05-00 (Tangerine Minibrot [6]) Date: 25 May 2000 00:53:38 -0400 (EDT) FOTD -- May 25, 2000 (Rating 6) Fractal visionaries and enthusiasts: Take an unlikely fractal-type formula -- Z^(-0.5)+Z^(-5)+(1/C) for example -- and see if you can get it to make a fractal. That's what I did, and today's fractal is what I got. The parent of today's rather unusual midget is another of those grossly mis-shapen negative-exponent Mandeloids with a lake at the center, and more spurious valleys than one can shake their stick at. The midget in today's image lies in one of the less obvious valleys on the WNW edge of the lake. I am becoming quite interested in these double-negative fractals. The existence of the almost perfect equal-iteration bands in many of them came as an almost total surprise. And the flexibility of these fractals is incredible, with all six parameters having noticeable effects on the image. In view of the great variety, I'll probably be investigating this type of fractal for a week or so. The unusual coloring of today's picture is a lucky accident. I made only a few fine-tuning changes once the final color palette appeared. The striking orange disk and spiral arms that stand out so obviously are of significantly higher iteration than the rest of the scene, which explains the unusual coloring effect. At first I could think of no name for this picture. Then I noticed a tangerine lying nearby. Taking my cue from that reddish-orange fruit, I named the picture "Tangerine Minibrot". Once again the parameter file just dawdles along, requiring over an hour on a 200mhz Pentium and an inconveniently long time on even the fastest machines. Being a merciful person, I have posted the JPEG image file to the Usenet binary group: And Paul Lee has posted it to his web site at the URL: The fractal weather today, (This paragraph was written at 11pm Wednesday the 24th, 14 hours after the main body.), was partly sunny for a change, with a light thunder-shower in mid-afternoon and a temperature of 82F (28C) that brought out the best in the fractal cats. And now it's time to put away the fractals and get busy making some customers satisfied. Until next time, take care, and dreams of fractals are most mysterious dreams of all. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Tangerine_Minibrot { ; time=1:01:21.99 -- SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-0.13011235422442010/+0.45932225027365970\ /6.934382e+011/1/25.055/-0.084 params=1/-0.5/1/-5/0/0 float=y maxiter=15000 bailout=25 inside=0 logmap=1140 symmetry=none periodicity=10 colors=000rgm<3>ddPacJYbDVa7Sa1_URfNo<5>mZ_n`XobU<3>\ sjKZgOFdR<17>_Bqa9rb7t<3>f1y<3>nCjpFgrIcsK`<3>tcDth8\ qj7<3>ep5bq4_s4Xt3Vu3<15>PSCPQDPOD<3>OHF<6>c7Te6Vg5X\ <3>o0c<3>YRPUYLQdHMjE<14>nXRpWSrVT<3>ySWwRWrSWlUWdVT\ VWS<4>`TObSNcRNdQMfPLgOK<3>lLHmKHoJG<2>sGEqADuKCxXBz\ PCuZCmEDpDDqDD<20>T8LS7MR7M<3>M6O<3>Q5SR5TS5UT4VU4WU\ 4XU3YU4ZU3_U4`U4aU4bU7c<3>UGgUIhUKi<3>UOmUPmUQm<8>UZ\ mU_mU`mUamUbm<21>Ucm } 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, 26-05-00 (Thriving Bacteria [7]) Date: 25 May 2000 23:00:43 -0400 (EDT) FOTD -- May 26, 2000 (Rating 7) Fractal visionaries and enthusiasts: Assuming that the digits of the golden ratio would create a golden fractal when used as negative exponents of Z, I entered Z^(-1.618) into the M-Mix4 formula. Then I added Z^(-16.18), which has ten times the negative value. Adding (1/C) completed the expression. When I saw the image that resulted, I was neither surprised nor disappointed. On my screen was the expected grossly distorted Mandeloid, with the right end a bit out of the frame, causing me to immediately adjust the view. In this case the figure is so distorted that it is impossible to tell by a casual glance which end should be up. Examining the inner nature of the various parts of the figure can sometimes give a hint as to where one is located in a Mandeloid, but in this case my attention was drawn by a smaller midget very near the northeast shore of the main lake. This midget lies so close to the main figure that it has been stretched almost beyond recognition, and it in turn is stretching the part of the main figure closest to it. Only a narrow and fragile isthmus separates the two features. It is in this isthmus that I did my searching. I began my search by seeking the exact point where the basins of the two features meet in a tiny saddle-shape. When I found the point I noticed that a smaller midget lay very close to it. This smaller midget is the one that appears in today's picture. The purplish color palette reminds me of some kind of repulsive purple bacteria growth I once saw thriving in a petri dish. I named the picture "Thriving Bacteria", but don't let the name be a put-off. There is nothing repulsive in the image, which rates a 7 even without exaggeration. If anyone feels that the near 18-minute render time is too long, I don't blame them. I feel it's too long myself. But that's the nature of fractals. The faster our machines become, the more difficult will be the fractals we seek, and as a result, a fractal will always be a slow thing. This is why I have posted the JPEG file of the image to: and Paul has posted it to: After a brief but heavy thunder-shower during the night, the day dawned cloudy. The clouds hung around until early evening, when they cleared just in time for a glorious sunset. The temperature of 77F (25C) was ideal for everything including the cats, who made up for lost time by romping in the yard. The philosophy, (if that's what the stuff I have to say can be called), is simmering. The results of my ponderings will be revealed in the near future on the philofractal list. So keep checking and you may learn something you never suspected. You might also learn something you always suspected. ;-) Until next time, take care, and when the itch to go fractaling strikes, scratch the issue. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Thriving_Bacteria { ; time=0:17:41.60 -- SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.94099720531588100/+0.60075721046998280\ /3.394908e+007/1/104.999 params=1/-1.618/1/-16.18/0/0 float=y maxiter=8000 bailout=25 inside=0 logmap=267 symmetry=none periodicity=10 colors=000A0KA0KA0MA0O<3>H0SJATLFUNFWPLYRRZTUgVXf<4>\ _bf`ceade<2>dgeehedid<2>cidbjcbjcakcakc<8>YoaXo`Xo`<\ 4>Vr_Ur_Us_TtZTuZSuZ<3>Tq_Tp_To_Tn_<3>Um`Um`Um`Um`<6\ >VgaVfaVeb<12>XZdXYdXYd<2>XWdXWdWVcVVc<25>EJYDJXDJXC\ IX<3>9GU9GT8GR<3>5EM5DL4DK4DK5EM6ER<3>AGXBGZCG`<5>IJ\ eJJfKJgLKhMKh<3>PMoQMqRMsSNuTNw<4>YPwZPw_Qw<2>bRwcRx\ dQycOz<3>gGz<2>jMskOslQs<3>mYrm_roarpcrqdr<33>PllOlk\ NmkMmkLmk<3>JnkJnjAmkAml<5>DmmDmmEmm<4>Emm } 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, 27-05-00 (Baubles and Beads [7]) Date: 26 May 2000 23:38:53 -0400 (EDT) FOTD -- May 27, 2000 (Rating 7) Fractal visionaries and enthusiasts: As I studied today's fractal image, I was reminded of a box of those nearly worthless trinkets known as baubles. The midget, with its surrounding spots and patches, has a surface gaudiness that is striking at first glance, but diminishes with further study -- a perfect effect to be described by the name "Baubles and Beads". The unlikely parameters entered as real(p1), real(p2) and real(p3) tell that I used the Fractint evolver to find the scene. But though I am a fractal purist of the strictest kind, I find nothing wrong with using the evolver to find fractals, for the evolver produces true undistorted fractals, and is merely a faster way of entering trial values by hand. For today's fractal I rounded the unnecessarily precise evolver values to a much more tidy 3 decimal places. The midget itself is perhaps the most unlikely one I have yet found. I have no idea what led me to this particular spot of the parent fractal. Sometimes I just get a feeling that a midget is down there, and sometimes I am right. Today's picture is irrefutable evidence that my non-patented intuitive method works. (sometimes works that is) The parent fractal is one of those grossly oversized ones that appear near the point where the entire image turns inside out. The center coordinates in the parameter file are not an error; they accurately define the location in the parent fractal of today's midget. With a rendering time of a few seconds under 5 minutes, today's parameter file is slightly slow. It's not unbearably slow, but it's slow enough to make the download from: or from: worth the slight effort. The fractal weather today was not fractal -- there was not enough of it to be fractal. In fact, it was so perfect that it was boring. It was boring because I find it impossible to get excited about a deep blue, totally cloudless sky, a light northwest wind, pleasantly low humidity, and a temperature of 80F (26.6C). But at least the fractal cats enjoyed the perfect day. Though today's weather was perfect, the weather over the next three days (27th, 28th, 29th) should be more interesting. This weekend is the first big holiday of summer here in the USA, and the local weather is due to be rainy all three days. Luckily, fractal searching is an indoor activity, so the expected rain will put no damper on my holiday. The philosophy is still ripening, and will not be ready for a few days. The current topic of my pondering is the order in the universe. Until next time, which will arrive in 24 hours, take care, and when the going gets tough, the tough get going and search for fractals. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Baubles_and_Beads { ; time=0:04:40.50 -- SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+20827.97209153728/+7055.944158089405/693\ .4634/1/92.5 params=0.654/-0.4/-0.213/-4/0.201/0 float=y maxiter=1500 bailout=25 inside=0 logmap=67 symmetry=none periodicity=0 colors=000KVG0TG4PK7GKAHRD`OGsLQjRZrW<2>zqkxd_vSPFLN\ <3>A49906D7C<3>SV_V`eZfkalp<3>0IV<3>Z9Ff7CjJSnVfqfu<\ 3>kopjqoisnhumaveVwY1ET<3>YGVeHVmHVued<3>BNe0Je6Ni<2\ >OXshJ8<3>Ug4Qm3Ms2Jy2<2>Me5N_6MZ8LYALYB<3>ThWVk`Wme\ <3>QcEPa7O_1<3>GQEEOHDMK<3>52`<3>Y5Zd6Yk6Ym2ak8_jEZo\ `d<3>wqgyuhzyhRd8<2>45d<3>SfVYpSbyQ<2>B4F<3>ngHwpHpm\ L<3>Ra_KZcEXfVUd<2>9E2NBx<3>eRrjVqnZosbnwfm<2>P3j<3>\ GCcDEaBG_9IY7KX5XK<2>v6_WId<2>IdM<2>5g3<3>QkGJlj<3>U\ pOWqJSrI<3>FvICwIWxZoyn<3>RzcLz`FzZ9zW3zU<3>4zh5zl5z\ o5zs5zv<3>4zb4zY9zX<3>SzU<2>NzhMzlIzf<2>9zR<3>FzDHzA\ Iz7MzPPzeszL<2>szezzV<2>fzI<4>ZzgfzOLzGEzG } 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: "Fernando Henrique Bresslau" Subject: Re: (fractint) FOTD, 27-05-00 (Baubles and Beads [7]) Date: 27 May 2000 11:35:45 -0300 ----- Original Message ----- Sent: Saturday, May 27, 2000 12:38 AM > The center coordinates in the parameter file are not an error; > they accurately define the location in the parent fractal of > today's midget. Hi, Jim. I once used two programs (I donīt remember the names or where I found the progs, they should be archived in my pc somewhere). These programs would calculate the center coordinates of a midget if you fed them with a point you knew it was near to such a midget center point. It used numerical cauculus do do this. One prog would use normal float precision and the other would use double-float. But (thereīs allways a but) they would work only for the real-true-vanilla mandelbrot. So, my question is, how can you guarantee that these center coordinates are the center coordinates of your midget (if this is what you tried to tell with the above sentence)? Fernando Bresslau USP - Brazil http://www.ozdobe.org/bresslau __________________________________________________ Do You Yahoo!? Talk to your friends online with Yahoo! Messenger. http://im.yahoo.com Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD, 28-05-00 (A Blue Beauty [7]) Date: 28 May 2000 00:36:18 -0400 (EDT) FOTD -- May 28, 2000 (Rating 7) Fractal visionaries and enthusiasts: Earlier today I began playing with the digits 4,1,4, which are the first three digits of the fractional part of the square root of two. I tried several combinations before trying the formula Z^(-0.414)+Z^(-4.14)+(1/C). The resulting fractal required one out-zoom to fit on the screen, but since the fractal looked interesting, I started investigating deeper. After giving the image a 90-degree CW rotation, the open lake reminded me of a yogi in meditation, squatting with crossed legs. I saw many places that could hold midgets of a type never before seen. The place I decided to investigate was the shoreline of the broad valley where the yogi's legs cross. At first glance, it's a relatively normal Mandel-type shoreline, with its endless procession of circular buds. However, some unusual things happen just inland of the water line, where the landscape consists of a series of hummocks connected by an intricate network of lacy filaments. I chose one of these filaments to examine more closely. Inside the filament all was a confusion of criss-crossing networks and lacy converging spirals. Spirals are usually interesting, so I looked closer at one. I had the feeling that midgets were there, but had no idea where to search. With no better ideas, I began searching at random. After a few minutes of fruitless search, I found a spot that looked suspiciously 2-way symmetrical, and began zooming. My instinct once again proved correct. It soon became apparent that I was in the outer part of the basin of an as-yet-unseen midget. The rest of the story can be seen in today's picture, which rates another 7 on my arbitrary scale of fractal worthiness. A named the image "A Blue Beauty" -- a name which is a pretty good description. The beauty will take 11 minutes to become visible to those who chose to run the parameter file. It will appear much sooner to those who go and seek the JPEG image file at: or at: The fractal weather today was cloudy with a steady light rain that made things totally miserable for those planning outdoor activities. The temperature of 59F (15C) kept the would-be bathers out of the water and kept the fractal cats indoors. Bad weather however has no adverse effect on fractaling, which is what I did for a good part of the afternoon. I did not philosophize today, but I may do so tomorrow. Check then, and if there is no philosophy, there certainly will be another fractal. Until 24 hours from now, take care, and the sun always shines on exactly one-half of the world. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ A_Blue_Beauty { ; time=0:10:57.95 -- SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+5.502844144327801/+0.6715408407749046/1.\ 403758e+009/1/40/-0.001 params=1/-0.414/1/-4.14/0/0 float=y maxiter=1800 bailout=25 inside=0 logmap=208 symmetry=none periodicity=10 colors=000ZcoZdpZeqahu<3>RZfOWcMU_<2>ENPBKM6DG6FF3DB\ 0A6<20>8Ee8Ef9Fh<2>AFmAFo9Go<14>GCtGCuHBu<3>IBv<3>SS\ pUXnW`m<3>eqglufryewwdzuc<3>nn`kl_hkZeiYbgX_dW<2>XXU\ WUTWUSVPRUMR<3>QDNPGLQLN<3>QPRQQTQRURSV<2>RXYRZ_Ra`<\ 3>SmdSofSqg<3>Swk<3>3aG<2>XfOzhRzjUzkW<3>zjTziSwiSti\ RqiQmiQ<3>ehNchN`gM<3>PfJMfJJfI<3>BeF9eF7eE5eE<3>5OX\ 5Ja5Fe<2>51u<10>55i55h56f56e56d57c<4>58h59i59j47k<6>\ 7Hr7Is8Kt<3>9Px5Py<8>aRzeRziSz<3>wSz<3>vQzuQzuQz_Pza\ Nz<21>Zcz } 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: Sylvie Gallet Subject: (fractint) MandelbrotMix4 Lakes Date: 28 May 2000 08:29:32 -0400 Hi All, A formula file that contains all of the MandelbrotMix4-lake formulas I made from Jim Muth's parameters (+ some of mine) is available on the Downloads page of my web site (check out Mmix_lak.zip): Here's some examples: 6ml06101 { ; . t=3D 0:03:41.86 ; Copyright Sylvie Gallet, May 10, 2000 ; ; t=3Dcalc time using a PII 300 at 1600 x 1200 ; Version 2000 Patchlevel 6 reset=3D2000 type=3Dformula formulafile=3Dmmix_lak.frm formulaname=3DMMix4-lake-0061 function=3Dident passes=3D1 center-mag=3D+1.44519368957052900/+0.14160825065617150/76615.3\ 3/1/-34.999 params=3D0/0/36/0/0.2/200 float=3Dy maxiter=3D2500 inside=3D0 periodicity=3D0 sound=3Doff colors=3D000<3>20530630840950B<10>O76Q85S85<3>ZC3`D3aF3<7>nQ5o\ S5qT5rV5tW5vY6<9>xiCxjDylE<2>yoGzqHzqJ<16>xufxuhxvi<2>wwnwwp\ vvqvvsuuu<171>mcK } 6ml13902 { ; . t=3D 1:35:22.02 ; Copyright Sylvie Gallet, May 01, 2000 ; ; t=3Dcalc time using a PII 300 at 1600 x 1200 ; Version 2000 Patchlevel 6 reset=3D2000 type=3Dformula formulafile=3Dmmix_lak.frm formulaname=3Dmmix4-lake-0139b function=3Dident passes=3D1 center-mag=3D+1.88255488398907100/-0.02668502674302770/1.76539\ 1e+010/1/30 params=3D0/0/27/0/0.3/200 float=3Dy maxiter=3D2000 inside=3D0 cyclerange=3D0/255 sound=3Doff colors=3DYHE<2>cGI<3>kTXmX`o_drch<13>KITIGSFFR<3>58M26L38M<3>5\ HR6JS7LU<4>DW`EYbF_cGaeHcfJfhLhi<3>Zmoanpeor<3>stw<2>rrrrqpq\ qnppl<17>edHdcFcbE<3>``6`_4_Z2ZY0<16>HJ0GI0FH0EG0CF0<8>C60C5\ 0C40C30C20D10C01<3>N05Q07S08V09Y0B`0C<8>hKOiNQjPRkSSlUUmWVnZ\ X<3>rgZsi_tk_<3>xubyxbzzc<3>zuRztOzrK<3>vgEudCtaB<3>pQ4nN2mM\ 2<5>dG4cF4aE5<3>XA6W97U87T77<3>iV9m`AqfAulBzrC<9>aiD_hEXgE<2\ >QdENcFNbF<3>JXCJVBIUB<3>CM4AK28H0<3>9C19B19A1A82<2>A21A00C3\ 1<4>OI9<3>WHD } 6ml22701 { ; Feerie a Versailles t=3D 0:07:12.15 ; Copyright Sylvie Gallet, Apr 24, 2000 ; ; t=3Dcalc time using a PII 300 at 1600 x 1200 ; Version 2000 Patchlevel 6 reset=3D2000 type=3Dformula formulafile=3Dmmix_lak.frm formulaname=3DMMix4-lake-0227 function=3Drecip passes=3D1 center-mag=3D+2.86077719777997400/+0.00103133600044388/715138.\ 4/1/7.5 params=3D0/0/37/0/0.7/200 float=3Dy maxiter=3D1000 bailout=3D25 inside=3D0 logmap=3D15 symmetry=3Dnone periodicity=3D10 sound=3Doff colors=3D00040C<3>709808808<3>C04E14H24<8>fF3hG2kI2nJ2qL2tM2uO\ 2wQ1<7>xf5yh6yj6yl7yn7zq8<6>zvDzwEzwEzxFzyG<3>zzNzzPzzR<5>yy\ `yybyycxxexxfxxh<3>wwnwwpvvqvvsuuu<3>sttrttqtt<18>SljRliQkiP\ khNjh<12>6ea5e`3d`2d_0cZ<104>02L02L01L<3>00KFFF00K<6>00G00F0\ 0F<3>00C00G<3>30D } 6ml30001 { ; Wildfire I t=3D 0:16:25.36 ; Copyright Sylvie Gallet, May 21, 2000 ; ; t=3Dcalc time using a PII 300 at 1600 x 1200 ; Version 2000 Patchlevel 6 reset=3D2000 type=3Dformula formulafile=3Dmmix_lak.frm formulaname=3Dmmix4-lake-0300 function=3Drecip passes=3D1 center-mag=3D+1.92711632140873700/+0.06885607469174922/1352.02\ 8/1/-32.499 params=3D0/0/35/0/0.3/150 float=3Dy maxiter=3D2000 inside=3D0 periodicity=3D0 sound=3Doff colors=3D000<5>403504604<3>907500<5>M71P81S92<3>cF2fG2iI2<3>vO\ 2<9>wh5xj6xl6<2>xr7yu8yuA<14>xvhxvkxvm<2>xvtwwwwww<10>uuutuu\ tuutuu<3>qttpttnss<10>_nnZnmXmm<4>RliQkiPkh<3>JifIifGhe<4>Ag\ c9fb7fb<3>2d_0cZ0cZ<103>02L02L01L<3>01K01K01K<6>00G00F00E<3>\ 00C00G } 6ml30301 { ; . t=3D 0:59:25.38 ; Copyright Sylvie Gallet, May 24, 2000 ; ; t=3Dcalc time using a PII 300 at 1600 x 1200 ; Version 2000 Patchlevel 6 reset=3D2000 type=3Dformula formulafile=3Dmmix_lak.frm formulaname=3DMMix4-lake-0303 function=3Drecip passes=3D1 center-mag=3D+2.79125975335705300/+5.69700602216168700/7496.93\ 7/1/140 params=3D0/0/34/0/0.25/180 float=3Dy maxiter=3D2000 inside=3D0 logmap=3D90 periodicity=3D0 sound=3Doff colors=3Dzz0zK66P8AUA<15>dmNfnNhoO<2>nsRpuSpuU<8>vxlvxowxq<2>y\ ywzzzyzz<11>boz`nzZmz<3>RiyPhxNgx<3>EcvBauB`rA_o9ZlAZl<10>Rg\ sShtUiu<5>cowdqxfqxhsxisykuymvz<3>mwqlwolvl<15>isChsAhs7hs5h\ s3gr0<5>co0bn0an0am0`m0_l0<20>M`2L`2L_2<4>GX3FW3EV3DU3CT3BT3\ <3>7P46P46P4<3>6O46O46N4<7>3F22E22D1<2>1A10901A0<8>DP1FR1GT1\ <2>KY1M_2N_2<24>kt8lu8mv9<2>py9rzArzD<12>wzp } 6ml30401 { ; . t=3D 0:15:27.15 ; Copyright Sylvie Gallet, May 25, 2000 ; ; t=3Dcalc time using a PII 300 at 1600 x 1200 ; Version 2000 Patchlevel 6 reset=3D2000 type=3Dformula formulafile=3Dmmix_lak.frm formulaname=3DMMix4-lake-0304 function=3Drecip passes=3D1 center-mag=3D+4.02785545745316800/+1.79514268564319900/167449.\ 1/1/10 params=3D0/0/34/0/0.3/200 float=3Dy maxiter=3D2000 inside=3D0 periodicity=3D0 sound=3Doff colors=3D000L11K000CP<3>0BO0BO0BO<48>829819819<2>818907B07<3>J\ 46L55N65<3>XA3_B3bC3dE2gF2<3>pK1rM0rO0<4>uZ3v`4vb5<2>xi6xk7x\ k7<6>yrCysDytDyuEyvF<16>zwczwdzwfzwh<3>zwmzvozvpzvrzvszuu<11\ 7>L11 } Enjoy! - Sylvie E-mail: Sylvie_Gallet@CompuServe.com Web site: http://www.fractalus.com/sylvie/homepage.htm Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Lee Skinner Subject: (fractint) MandelbrotMix4 Lakes Date: 28 May 2000 11:04:09 -0400 Hi Sylvie, >> A formula file that contains all of the MandelbrotMix4-lake formulas = I made from Jim Muth's parameters (+ some of mine) is available on the Downloads page of my web site (check out Mmix_lak.zip): Here's some examples: << Great images, Sylvie! Here are some Mandelbrotmix4 lakes of mine: 6ml13901 { ; Water Cave t=3D 1:39:4= 7.86 ; on a P233 at 1600x1200 May 28, 2000 08:51:02 ; Image Copyright 2000 by Lee H. Skinner ver=3D2000 ; Version 2000 Patchlevel 8 reset=3D2000 type=3Dformula formulafile=3Dfractint.frm formulaname=3Dmmix4-lake-0139 function=3Dident passes=3D1 center-mag=3D-0.12947867499869180/-0.31327946717538240/587.3575/1/-2.5 params=3D0/0/33.33/0/0.2/300 float=3Dy maxiter=3D6000 bailout=3D25 insi= de=3D0 logmap=3D17 symmetry=3Dnone periodicity=3D10 colors=3D000zyxzzz<3>sww<2>zzz<3>rwzovzhswaosVkpNgl<2>8lh<3>AWVASSBOO<2= >CB\ EDED<2>KOANR9QU8TY7Wa6<3>go2js1nw0<7>NW9KSAGPB<3>2AG<8>4RW5TX5VZ<3>6ae6= b\ g6di<2>7jn8lp8ln<3>8ld8mb8m_<3>9nQ<4>qx6zz1<3>zzz<3>jqdfo_blU<3>Mb8<2>L= T\ 8LQ8LP8<3>LL8LK7LI7LH6LG6<3>KB4KA4J83<3>J32J21J11J00<12>b35d36e36f36<3>= l\ 48m48n48<3>r38s38s48<4>tA8tB8tC8<7>xO8xP8xQ8yR8<3>zY6zZ6zZ6<28>zu7zv7zv= 7\ <3>zz8<3>zpEznFzkH<25>zxv } 6ml16201 { ; Venice Bridge t=3D 2:48:5= 5.27 ; on a P233 at 1600x1200 May 28, 2000 08:51:30 ; Image Copyright 2000 by Lee H. Skinner ver=3D2000 ; Version 2000 Patchlevel 8 reset=3D2000 type=3Dformula formulafile=3Dfractint.frm formulaname=3Dmmix4-lake-0162 function=3Dident passes=3D1 center-mag=3D-0.88912937958200310/-0.00031214697624702/7944.202/1/-87.4= 98 params=3D0/0/33.33/0/0.2/300 float=3Dy maxiter=3D1400 bailout=3D25 insi= de=3D0 logmap=3D9 symmetry=3Dnone periodicity=3D10 colors=3D5005106D0<25>QY0RZ0R_0<3>Vc0Wd0Xf1<5>Vd3Vc3Uc4<3>T`5S_6SZ6<52>= G66\ G56F56<3>E26<3>e63l72s81zA0<3>z90z90zA0<8>zS4zU4zW5<2>za6yc7wb7<13>MOEJ= N\ EGMF<3>5HH<3>7QQ8SS8VV<3>BccCffChhDjj<3>dsskuurwwzzz<3>jqdfo_blU<2>ReE<= 3\ >OTCNQCNPC<3>PJ9QI9QG8<2>SC6TA5WD6ZF7aI8eLAhMB<3>rbBtfBwjBzoA<3>zw6zz4z= z\ 0<4>zj2zg2zc2<3>zS4zP5zL5zI6zE6wE6tD6qC6<3>kA5iA5fA5<9>921 } 6ml17702 { ; Moonlight Arch t=3D 1:07:4= 3.42 ; on a P233 at 1600x1200 May 28, 2000 08:51:45 ; Image Copyright 2000 by Lee H. Skinner ver=3D2000 ; Version 2000 Patchlevel 8 reset=3D2000 type=3Dformula formulafile=3Dfractint.frm formulaname=3Dmmix4-lake-0177 function=3Dident passes=3D1 center-mag=3D+2.15632695764063200/-0.01595275250755705/968.5468/1/72.49= 9 params=3D0/0/33.33/0/0.2/300 float=3Dy maxiter=3D3000 bailout=3D25 insi= de=3D0 logmap=3D13 symmetry=3Dnone periodicity=3D10 colors=3D000oua<2>Ywu<5>OpvNnvLmw<3>Ehx<3>8Th7Pd5L`<2>08P<4>BLHDNGGQEIT= DLV\ BNY9<29>Mg2Mg2Mg2Mg2Lh1<40>ul1vl1wl1xl1yl1zm0<29>zF0zE0zD0<2>zA0z80z82<= 1\ 1>z5Yz4_z4bz3ez3g<3>z2r<3>zmxzzzruz<3>N`zFWz6Qz<3>SLmYKicJf<3>pKcsKbvKa= z\ L`<3>zOUzPSzPR<3>zSJzTHzTFzUD<3>nI9jF8gC6<3>V01<2>yB3<14>yfAyhByjB<2>yp= D\ ysEytF<2>zwHzwIzvK<3>zuQuuW } 6ml17704 { ; Forest Fire t=3D 2:24:0= 1.53 ; on a P233 at 1600x1200 May 28, 2000 08:52:01 ; Image Copyright 2000 by Lee H. Skinner ver=3D2000 ; Version 2000 Patchlevel 8 reset=3D2000 type=3Dformula formulafile=3Dfractint.frm formulaname=3Dmmix4-lake-0177 function=3Dident passes=3D1 center-mag=3D+2.17856216587067300/-0.02305697921457523/2260.564/1/-94.9= 98 params=3D0/0/33.33/0/0.2/300 float=3Dy maxiter=3D3000 bailout=3D25 insi= de=3D0 logmap=3D29 symmetry=3Dnone periodicity=3D10 colors=3D000qLA<3>d95a64Z33V01<2>yB3<14>yfAyhByjB<2>ypDysEytF<2>zwHzwIz= vK<\ 3>zuQ<3>cvnYwuXvu<4>OpvNnvLmw<3>Ehx<3>8Th7Pd5L`<2>08P<4>BLHDNGGQEITDLVB= N\ Y9<29>Mg2Mg2Mg2Mg2Lh1<40>ul1vl1wl1xl1yl1zm0<29>zF0zE0zD0<2>zA0z80z82<11= >\ z5Yz4_z4bz3ez3g<3>z2r<3>zmxzzzruz<3>N`zFWz6Qz<3>SLmYKicJf<3>pKcsKbvKazL= `\ <3>zOUzPSzPR<6>zUDwRCtOB } 6ml19701 { ; Woodsy Pond t=3D 0:48:4= 0.64 ; on a P233 at 1600x1200 May 28, 2000 08:52:15 ; Image Copyright 2000 by Lee H. Skinner ver=3D2000 ; Version 2000 Patchlevel 8 reset=3D2000 type=3Dformula formulafile=3Dfractint.frm formulaname=3Dmmix4-lake-0197 function=3Dident passes=3D1 center-mag=3D17.0819/2.64481/12.64048/1/180 params=3D0/0/33.33/0/0.2/30= 0 float=3Dy maxiter=3D2000 bailout=3D25 inside=3D0 logmap=3D29 symmetry=3D= none periodicity=3D10 rseed=3D3141 colors=3D000bF7<3>SE6QE5NE5KE5HD4HD4<3>HN4HQ4HS4<3>Jb4Jd4Jg4<3>JT4JP4JQ= 4<6\ >KV4KW4KX4<2>KZ4L_4N_4P`4R`4<3>6dQ0eW0dZ<3>0`j0_m0Zp<2>0Vz<3>V_Ya`RiaKq= b\ Dyd5<26>yF2yF2yE2<2>yB2xB3vB5<5>mEFkFHjFI<3>cIQbIS`JTZJV<4>jaelehnij<3>= x\ ys<8>dmnblm_jm<3>SfkQdjNcjLai<3>CXUAWQ7VM<2>0QA<3>6XM8ZQA_T<2>FebHgeLhf= <\ 4>bokepliqm<2>tupxwrzyt<5>zxZzxVzwR<2>zwGzvCztC<4>xiCxgCxdCwbCw`CvYB<8>= w\ RJwQJwQK<3>wMOwLPwLQwKRxJS<3>pF`nEblDd<3>d8n<4>gC`gDYhDV<3>jHJkIGkJDlKA= <\ 3>zH9<7>eG7 } 6ml20303 { ; Indian Camp t=3D 0:48:2= 5.60 ; on a P233 at 1600x1200 May 28, 2000 08:52:34 ; Image Copyright 2000 by Lee H. Skinner ver=3D2000 ; Version 2000 Patchlevel 8 reset=3D2000 type=3Dformula formulafile=3Dfractint.frm formulaname=3Dmmix4-lake-0203 function=3Dident passes=3D1 center-mag=3D+0.99702774956984290/+0.00004870298086398/9.999487e+007/1/= -67\ .499 params=3D0/0/33.33/0/0.2/300 float=3Dy maxiter=3D1000 bailout=3D25= inside=3D0 logmap=3D43 symmetry=3Dnone periodicity=3D10 rseed=3D3141 colors=3D000eQI<5>kaWmbYnd_<3>rliLnk<3>pvuyxxzzz<2>8cZ<3>0aP<3>VgJbiIjj= Grl\ FznD<3>zX7zT5zO4zK2zF0<4>zA0z80<12>z5Yz4_z4bz3ez3g<3>z2r<3>zmxzzzruz<3>= N\ `zFWz6Qz<3>SLmYKicJf<3>pKcsKbvKazL`<13>zVCzWAzX8<3>y_0<21>ypBypCyqC<3>y= t\ FzuGzvGzwH<3>zvNzuPzuQ<3>cvnYwuXvu<4>OpvNnvLmw<3>Ehx<3>8Th7Pd8Pb<4>ETSF= T\ PGUNHULIVJ<3>NY9<3>UQ9WO9YM9_K9<3>fGHgFJiELkDNmCP<3>WKGSMENOBJQ9ES6<3>8= _\ 67a65d5<2>0k0<12>AS7BQ8BP8<2>EKAFIBGGA<2>JB7K95MA5<5>_I8aJ9bKBcMDdOG } 6ml23801 { ; Cut-up Scene t=3D 0:41:0= 6.43 ; on a P233 at 1600x1200 May 28, 2000 08:52:49 ; Image Copyright 2000 by Lee H. Skinner ver=3D2000 ; Version 2000 Patchlevel 8 reset=3D2000 type=3Dformula formulafile=3Dfractint.frm formulaname=3Dmmix4-lake-0238 function=3Dident passes=3D1 center-mag=3D2.93098/-3.64397/12.21837/1/4.998 params=3D0/0/33.33/0/0.2/300 float=3Dy maxiter=3D1600 bailout=3D25 insi= de=3D0 logmap=3D4 symmetry=3Dnone periodicity=3D10 colors=3D000zvL<2>zuQ<3>cvnYwuXvu<3>QqvOpvNnv<2>IjwGiwGgt<7>8MV7KR6HO5E= K4B\ H<3>003<5>1A61B71D7<3>1KA1LB1NB1PC2RD<15>2c42d42e32f32g21h12g13e2<32>Oj= 1\ Pj1Pj1Qj1Rk0<41>qqkrqlrqm<3>urrvsswst<3>zty<3>zUszNqzGpz9nz2lz2oz2r<3>z= m\ xzzzruz<3>N`zFWz6Qz<3>SLmYKicJf<3>pKcsKbvKazL`<13>zVCzWAzX8<3>y_0<21>yp= B\ ypCyqC<6>zwHzwIzvK } 6ml26701 { ; Landscape t=3D 24:47:4= 3.25 ; on a P233 at 1600x1200 May 28, 2000 08:53:12 ; Image Copyright 2000 by Lee H. Skinner ver=3D2000 ; Version 2000 Patchlevel 8 reset=3D2000 type=3Dformula formulafile=3Dfractint.frm formulaname=3Dmmix4-lake-0267 function=3Drecip passes=3D1 center-mag=3D-1.82119694643630500/+6.28079334345163400/40.52967/1/-135 params=3D0/0/33.33/0/0.2/300 float=3Dy maxiter=3D6000 bailout=3D25 inside=3Dbof61 logmap=3Dyes symmetry=3Dnone periodicity=3D10 colors=3D000ywwxssvooKRksgg<4>lOOkKKiGG<3>c00<9>F00D00A00<2>300000020<8= >0P\ 00R00U0<3>0c0<9>bqbfrfjtj<3>zzz<9>OlOKkKGiG<3>0c0<9>0F00D00A0<2>0300000= 0\ 2<8>00P00R00U<3>00c<9>bbqffrjjt<3>zzzYhJssxoovkkuZa0ccr__pWWoSSPOOl<3>8= 8\ f44e00c<3>00U00S00P00N00K0LI0OF<10>0PM0QN0QO<3>0RR<3>0``0cc3dd<8>bqqfrr= j\ tt<3>zzz<9>OllKkkGii<3>0cc<9>0FF0DD0AA<2>033000200<8>P00R00U00<2>`00c00= d\ 44<13>zzz } Lee Skinner 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: Sylvie Gallet Subject: (fractint) MandelbrotMix4 Lakes Date: 28 May 2000 11:53:33 -0400 Hi Lee, >> Great images, Sylvie! Thank you, Lee! >> Here are some Mandelbrotmix4 lakes of mine: Thanks. Yours are much slower, and I can't comment on them, yet! Cheers, - Sylvie Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Ron Barnett Subject: (fractint) Trouble with my web site Date: 28 May 2000 16:33:29 -0400 Hello everyone, I just returned from several weeks of traveling to find that the supposedly smooth migration of my web site to a new ISP has not been so smooth. My old ISP has not yet released my registered domain, but they have been turning access on and off to my web site randomly, it appears. Until I get that cleared up, my web site is temporarily http://www2.sdar.net/barnettr/index.htm Hopefully, it will return to hiddendimension.com soon. Also, my outlook.pst file managed to become so corrupted that it couldn't repaired, so I have lost all my fractal email for the past three months. If any of you had sent anything that I should have responded to, either directly or as a courtesy, it is now lost and I appologize in advance. I am sure there is all sorts of good stuff I missed and would like to have commented on. Ron Barnett 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, 29-05-00 (Ton of Fractal Fun [6]) Date: 29 May 2000 00:51:07 -0400 (EDT) FOTD -- May 29, 2000 (Rating 6) Fractal enthusiasts and visionaries: If you get a strange feeling that you've seen today's fractal before, you are right. You have seen it before. The midget in today's FOTD is the same one that appeared in yesterday's "Blue Beauty" picture. I have zoomed in a bit closer, and I've changed the color scheme to a wild, festive one, but it's exactly the same midget at exactly the same coordinates of the same formula. The only difference is that the serene blue color palette of yesterday's image has been replaced by a lively, gaudy palette, which though it's lively, rates only a slightly-above average 6. Since the picture has such a fun-like feel to it, I decided to name it "Ton of Fractal Fun", which pretty accurately describes the scene. The 12-1/2 minute wait for the parameter file to finish is not much fun, but the fun may be restored by rushing to download the JPEG image file from: or from: The following question from Fernando Bresslau recently appeared on the Fractint list. I'll take a moment to reply. >So, my question is, how can you guarantee that these center >coordinates [in the parameter file] are the center coordinates >of your midget (if this is what you tried to tell . . .?) The center coordinates in the parameter file define the center of the image frame, not the center of the midget itself. These coordinates were written to the parameter file by the Fractint program, and I know that they are accurate because they correctly reproduce the original image. Today's weather report is as accurate as the coordinates. The rain was miserable or great, depending on what one had planned for the day. For those who had planned picnics, cook-outs or a trip to the beach, it was miserable, but for that minority, of which I am a member, who had planned to search for fractals, it was great. The steady rain and temperature of 54F (12C) was ideal for fractaling. The fractal cats didn't care for the weather however. It was so great for fractaling that I forgot to philosophize, and thus the philosophy fans waiting for enlightenment will once again be disappointed. But tomorrow, as always, will be another day, another fractal and perhaps some wonderful philosophy. Until that golden moment arrives, take care, and what do they do on a rainy day in Fractal Land? Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Ton_of_Fractal_Fun { ; time=0:12:29.62 -- SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+5.50284414432844300/+0.67154084077933580\ /3.24463e+009/1/40/-0.001 params=1/-0.414/1/-4.14/0/0 float=y maxiter=1800 bailout=25 inside=0 logmap=247 symmetry=none periodicity=10 colors=000Uc0PHEcUENGhcGDLUCKGC<7>DF8CE8BE7<3>8E6<3>\ JHCLIDOJE<3>YMK`MPbNPeOUgPUjPZlQZoRcqRczJMwBFt39<13>\ N35L35I35G34D34B34A23<20>74A74A74A<2>74B74B86C<32>Cm\ dCneCpf<2>CtiCujBuk<28>PwXPwXQxW<7>TvSUuSUuR<3>WtPJh\ K<2>skK<3>poKopKnsK<3>lwKknKjpKiwd<3>gyffyfezg<10>Zz\ mYznXzn<2>VzpVzpWzn<12>bzVczUdzS<3>fzMjzJfzLbzMZzNXz\ P<6>RzJQzIPzH<3>MzESzGRzF } 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: "Fernando Henrique Bresslau" Subject: Re: (fractint) FOTD, 29-05-00 (Ton of Fractal Fun [6]) Date: 29 May 2000 06:33:48 -0300 ----- Original Message ----- > The following question from Fernando Bresslau recently appeared > on the Fractint list. I'll take a moment to reply. > > >So, my question is, how can you guarantee that these center > >coordinates [in the parameter file] are the center coordinates > >of your midget (if this is what you tried to tell . . .?) > > The center coordinates in the parameter file define the center > of the image frame, not the center of the midget itself. These > coordinates were written to the parameter file by the Fractint > program, and I know that they are accurate because they > correctly reproduce the original image. > Ok, thanks for making it clear to me. I made some confusion in this point. Have a nice week (itīs cold here in Brazil (if you call 10°C cold), and Iīd rather bee under my coats than fractalling/srfing the net... Fernando Bresslau http://www.ozdobe.org/bresslau __________________________________________________ Do You Yahoo!? Talk to your friends online with Yahoo! Messenger. http://im.yahoo.com Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: Jim Muth Subject: (fractint) FOTD, 30-05-00 (Octagonal Star [7]) Date: 29 May 2000 20:47:23 -0400 (EDT) FOTD -- May 30, 2000 (Rating 7) Fractal enthusiasts and visionaries: Distracted as I was by Tippy, the fractal cat, my finger paused a bit too long on the <1> key as I was entering the parameters for today's fractal, causing me to inadvertently enter 111111.... instead of the 11 I had intended as the value of imag(p2). "What the heck," I mumbled as I saw the string of ones. "Let's see what these parameters will do." Substituting a decimal point for the third digit, I let the formula do its thing. As expected, I found that the extra digits have almost no effect on the appearance of the parent fractal. On a whim I set real(p3) to 0.3. The formula then created a grossly oversized and nearly indescribable fractal with grossly underestimated potential. A bit of searching revealed things in the fractal that looked like a space alien's antenna with a bulb on the end. I investigated one of these antenna bulbs. As I went deeper into the bulb, I came to an area of sickle- shaped elements, and soon I found the two symmetrical features that usually mean a midget is hiding there. As today's picture shows, I was once again right. With its star-like coloring and delicate filaments, today's fractal looks pleasing from both near and far, easily deserving its above-average rating of 7. When I saw the eight-pointed star effect, I named the picture "Octagonal Star". Coinciden- tally, the time the parameter file takes to render on a P200 machine is almost exactly 7 minutes. Yes, I realize that fractalists are sometimes very busy people, so I have mercifully posted the JPEG image file to: and Paul Lee has posted it to his web site at: The fractal weather today was dry but cloudy and quite cool, with a raw east wind and a temperature of 61F (16C) that kept all but the hardiest picnickers safely indoors. It was a day more typical of those in the Pacific Northwest than those on the Mid-Atlantic coast. The raw weather also kept the fractal cats indoors, where they passed the day eating and sleeping. And now for the bad news . . . yes, I once again failed to philosophize. My humblest apologies to the disappointed and my sincerest empathies to the relieved. But all is not lost, for the longer the philosophy takes to ripen, the better it will be when it's finally ready. So brace yourself for imminent and unexpected enlightenment. But until that time when light shines, take care and keep those fractals coming. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Octagonal_Star { ; time=0:07:03.15 -- SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-15.17590216673625/-56.06011507835237/3.8\ 61277e+007/1/142.499 params=1/1.1/1/11.1111111111111\ 1/0.3/0 float=y maxiter=1200 bailout=25 inside=0 logmap=136 symmetry=none periodicity=10 colors=00009D<2>07A079268<3>A45C44E33G33<9>_S5aU5cW5\ <2>ic5ke5kg5<4>UOSRKWNG`<3>A0q<5>VTXYYUaaQ<3>ntDnuDn\ vDmvDowD<2>wxDzyDzyD<3>zvEzuEytExtF<3>qqFopFnoF<6>gk\ HfjHeiH<2>cgHbfHbfIbeI<12>XXKXWKXWKWVKWUKWUK<12>EISC\ HSBGT<3>5CVABW<4>ZQMcTN<2>raVsdYtg`ujbtmatpasqa<26>j\ _Yi_XiZX<3>hWXgWYgVZ<3>fTbfScgRd<3>iOhjOimJjjNkkMl<2\ >lKmmJmkOmiNmgNm<7>iMuiMviMwiMxiLy<9>kKzlKzlKz<3>mJz\ <2>ZJzUPz<3>AOz<11>RMzTLzULz<3>_KzeAzdAz } 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, 31-05-00 (A Midget [8]) Date: 31 May 2000 00:26:44 -0400 (EDT) FOTD -- May 31, 2000 (Rating 8) Fractal visionaries and enthusiasts: The final FOTD for the month of May should feature a fractal worthy of the occasion. And indeed it does. Today's midget, to which I have given the simple, non-assuming name "A Midget", rates (IMO) a much-above-average 8 on my 1-to-10 scale of fractal worth. Surprisingly enough, the image is another accident. When I entered the parameters, I had intended on combining Z^(-2) and Z^(-20), but for some reason I forgot the minus signs and inadvertently calculated -2(Z^2+Z^20)+(1/C). And this time I can't blame the cats. But, as today's picture shows, the result was not bad. The formula draws a crooked fractal with a shrunken, crooked Mandelbrot set lurking near the upper left corner of the frame. The little M-set is fairly conventional, but it is surrounded by the fractal debris that breeds interesting midgets. When I saw this, I got out my mathematical microscope and went in search of these midgets. I began my search in the east valley of the M-set, rather deep in an elephant-trunk spiral. In this particular part of this particular fractal, the spirals reach their infinite ends, then wind back out as shattered remnants of themselves. A quick check revealed that nothing of interest lay in these out-winding remnants, but the in-winding spirals proved to be filled with midgets. After diving to a depth of 1e005, I found a pair of give-away symmetrical elements and began zooming into the center of symmetry. The midget I found there appears as the midget in today's FOTD. The mathematical aspect of the midget is not exceptional; the coloring is what makes the scene. In fact I put so much effort into coloring this image that I actually feel I'm in danger of becoming a fractal artist. At this rate, you'll soon be seeing me creating fractals with something like multiple layers. Of course, I'm jesting. I would never desecrate a fractal by dropping it on top of another image. As for transforms -- who knows. When I calculate 1/C instead of C, I'm already doing a transform. Maybe sometime in the future I will use more complex transforms, but for the foreseeable future it's fractal purity. (In the sixth grade, Sister Theresa caught me staring at one of the girls, and told me to keep my thoughts pure. And now at this late date I'm finally starting to do it.) At a render time of 14-1/2 minutes, today's parameter file is purely an invitation to impatience. The logical thing to do is to rush to the internet and go to the Usenet group: where the file of the JPEG'd image has been posted. The image is also available, along with many back FOTD's, on Paul Lee's web site at: The clouds and chilly weather still prevailed today, though there were a few more breaks of sun than yesterday. The temperature of 63F (17C) held the fractal cats' outing to a disappointingly brief 15 minutes. The philosophy is almost ready, faithful philosophy fans. Tomorrow has a 50 percent chance of being the big day, the next day, a 75 percent chance. And I have a 100 percent chance of having come to the end of another FOTD. Until next time, take care, and beware of those who belittle fractals. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ A_Midget { ; time=0:14:21.07 -- SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+1.46069809767355500/+1.04719452779061900\ /1.427221e+011/1/-2.499 params=1/2/1/20/-3/0 float=y maxiter=1800 inside=0 logmap=251 periodicity=10 colors=000112<3>11021031341551A<3>B1LC1OD1SD1VD0ZD0a\ D0cB0h80j70m50l<2>50h50f50f<2>50b50a50a<3>50W50V50V<\ 2>50Q50P51P<2>1ia0ye0zh<2>2zp3vs4sv5oy5lz4fw4bs4Zp4W\ l4Ui3Qe3Oa3KZ<3>2AK27H24D22B15C0AD0CD0GF0KG0MG0QH0VH\ 0YIDaKQeKYhLclLjpMpsOuwOyzPzzPzzSzzVszUjzUezU_vUVsUS\ pUPlS<2>HbSF_SCYSBVSDWVFYWGZYH_ZI_aKabMbcOcePcfQeiSf\ jUhlWimYipZjr_lsamubmvcor<3>coecpbcp_cpYepUepQerOerL\ erHerFerCerAcoD<3>ciOchQceU<3>c_ccZfcYifUehQbjM_lKWo\ GUpDQsAMu7Kw3Hy1Dz0Bz08z0Ay0Bw1Cv3Du5Fs7FrAGoBHmDIlG\ KjHLiKLhLMfOOeQPbSQaVY_WcZZjYarWbyVezUfzWczZay_ZrbYj\ eVefSfiPhlOimLjpImrGouFpwCryAs<2>z3wz1yz0z<2>zUezSZy\ QUwQQvQcuQrrQrmUroWrpZcraQscDue4vc2wb1yb0za1zaDz_Qz_\ YzZczZjzYrzYuzWwzWz<4>zVzzVzzVz<3>zVzzYzzZzz_zzbzzcz\ zezzfzziz<2>zmz } 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: David Kosokar Subject: (fractint) Just tried a GHZ chip Date: 31 May 2000 19:39:31 -0500 I ran this par on a machine at work (Compaq with 1GHz Athlon running Win98 and it finished in 6:49:32. I've used this par on many different machines to benchmark their speed. My own K6-2 400MHz does it in 14:23:38. It's a deep zoom using arbitrary precision originally by Jay Hill, I think. I'd like to know your thoughts on my methods. I was running Fractint 19.6 in Windows 98. Should I quit to DOS to get more accurate readings? Should I use integer range, floating point, or arbitrary? Or maybe all three? Any other thoughts would be helpful. I have watched this list in lurk mode for years, and I greatly admire the beauty and creativity you all bring forth using our favorite fractal program! Keep those fractals coming!! Deep Zoom Jay Hill { reset=1950 type=mandel center-mag=-0.22815549365396181921458337174522594168584633202/1.11514250\ 8039937359745738033504392908720827794353/1.7e+044 params=0/0 float=y maxiter=99999 colors=CCCssS<6>ssEssCsqC<19>sECsCCqCC<21>ACCCCC<21>sCs<20>ECsCCsCEs<16>\ Cks<13>DFHECEECE<20>sCs<20>ECsCCsCEs<19>CqsCssCsq<19>CsECsCEsE<19>qsqsss\ ssq<11>ssU } Thanks for using Fractint, The Fractals and Fractint Discussion List Post Message: fractint@lists.xmission.com Get Commands: majordomo@lists.xmission.com "help" Administrator: twegner@fractint.org Unsubscribe: majordomo@lists.xmission.com "unsubscribe fractint" ------------------------------------------------------------------------------- From: David Kosokar Subject: Re: (fractint) Trouble with my web site Date: 31 May 2000 19:48:52 -0500 Dear Ron, Have you noticed that your system clock is set to 2003? I guess things must be pretty advanced where you live! Hohoho! Glad you got your site worked out. Have a wonderful day! 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, 01-06-00 (Mandelbrot Jungle [9]) Date: 01 Jun 2000 00:28:07 -0400 (EDT) FOTD -- June 01, 2000 (Rating 9) Fractal visionaries and enthusiasts: It's good to be able to start June off with a fractal even better than the one that ended May. The discussion is a bit short, but the exceptional fractal more than makes up for it. Today's midget is great enough in its real apparition, but its spirit form is truly exceptional, rating a rare and honest 9 on my fractal thermometer. It is one of those midgets whose formula contains negative powers of Z, and as a result evaporates when the escape radius is raised to a value as ridiculously large as 10^120. The midget has vanished, but it left its ghost, which I have revealed with a ghost-busting inside fill of bof61. I named the picture "Mandelbrot Jungle" when I was reminded of a lush tropical jungle overlooking the warm ocean. The formula responsible for all the greenery is Z^(-1.9)+Z^(-19)+(1/C) -- another of those double-negative expressions that I'm currently exploring. The render time of just under nine minutes from the parameter file is slow enough to make the download of the image file worth the effort. That download may be found on Usenet at: and on the web at: The fractal weather was sunny today for a change, with just a few cottonpuff cumulus clouds to break the monotonous blue. The temperature of 68F (20C) made the cats happy just as the exceptional fractal made me happy Unfortunately, we have no philosophy today. There was just too much work. But in between jobs I managed to ponder whether a sufficiently advanced computer could be conscious, and if it could, how we might possibly determine the fact. I also pondered the possible existence of intelligent life in space, and how we might recognize it. These topics have been discussed by some of the greatest minds on earth for many years without resolution, so I doubt if I'll be able to resolve them, but as soon as I get a break, I'll have a few words to say. But for now, it's time to call it a day and feed the fractal cats, who are sitting beside the desk, giving me the works. Until tomorrow and the next great fractal, take care, and life is everywhere. Jim Muth jamth@mindspring.com START 20.0 PAR-FORMULA FILE================================ Mandelbrot_Jungle { ; time=0:08:40.37 -- SF5 on a P200 ; Version 2000 Patchlevel 9 reset=2000 type=formula formulafile=critical.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.08848155850409300/+0.20326978762943990\ /2.69709e+008/1/52.5 params=1/-1.9/1/-19/0/1e+120 float=y maxiter=1400 bailout=25 inside=bof61 logmap=80 symmetry=none periodicity=10 colors=000000`e7`f3Yb2V_2TW2QU2OQ2MN1KK1GH1<3>740410\ 2000000C90TI0hS0000yb1yc3yf6zg9ziBzjEzmGznIzoOviUpc_\ j_bAL_FLVKLSOLTpSStT<2>SPWSFYS6Y9z7EvBHoGLhLOaOQfVTi\ a<2>Ytu<3>cVy000tIzhCzi7zhnHZbGOTFFIF407007E07V8ImEL\ zUMzePzUSzGUyGYzUpxFakLZ`PWOUTCZQ1bOAcPKcPTcPaePjePt\ ePzePzbOzpNz_MzpLzYLuVS000fSbZPhSOnOLiLHfIFpUGPeHBhO\ CzUEm`EofFqmGzsGuqNupUvp`zogvonwjexgWybNz_EmSN_KWNBz\ 93z00z01z14z28z9BnGEzNGk<2>gNi000tSh`UiHWi0Yi3Yf9YbF\ Y_LYYQYUWYQaYNfYL<3>YYuVYzS`zPbzMexKgwGiuEktUYmhIgw4\ ao6cg6f_6iT7kL7oC7q67t<3>pm2000`fBTbFL_KCWN4TS0QV4PZ\ <3>`LihKkpIowIqpFn000bAgY8eQ6aK3ZC1V00084Y<2>BMg000E\ YnHTuLPz000GHhFE_<2>OP`QT`UW`W`a_caagaejagnaiqa000`g\ YYaWTYUPTTLNQHIPCEN98M43K10IE9UQKebUpnbzh0ig0h<3>e9h\ eBgcEg<3>aNfaPf`Sf`Uf`Wf<2>`_T``O`aL`bG } 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"