December 2012 - Fractint - mailman.xmission.com

FOTD 20-12-12 (One to Doomsday [No Rating])
by Jim Muth 22 Dec '12

22 Dec '12

FOTD -- December 20, 2012 (No Rating) Fractal visionaries and enthusiasts: It's the day before the end of days here at Fractal Central, and nothing has happened so far. Our poor strange curious little rectangle has not been so lucky however. Very little of it is left in today's image. What *is* left appears as the mostly obscured yellow stuff near the center of the frame. Tomorrow will be the actual day of doom -- time to close the rectangular book. The rectangle will be gone and the remains won't make much of an image, but it's kind of hard to make a good picture of something that is not there. So say goodbye to the rectangle as you are saying goodbye to the rest of the world. With so little time left, the very brief 45-second calculation will seem to finish almost instantly. The finished image is posted online at: <http://www.crosscanpuzzles.com/Archives.html> Hi-def variations are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Back images are at: <http://www.Nahee.com/FOTD/> Clouds arrived just before sunrise here at Fractal Central today and thickened throughout the day, while the temperature hovered around 43F +6C. The approaching rain arrived at sunset. The fractal cat had a peaceful day; the humans' day was not quite as peaceful. Unless the end arrives sooner than expected, the next FOTD will be posted in 24 hours. If the predicted end fails to arrive (as I expect it will) the next FOTD after tomorrow's will be posted on December 27, one week from today, after a hiatus of 5 days. Until whenever, take care, and once again, we have met the enemy and found they is us. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= One_to_Doomsday { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=+0.001928538\ 67501304/+0.00075156576200417/107.7586/1.3369/0/\ -38.6598082540901018 params=99/98/79/82/-1.7435/\ -0.0008/0.000175/0.073883/2.003/0 float=y maxiter=8000 inside=0 logmap=55 periodicity=6 colors=00022M22M22L22L22K22K22J22J12I12I12H12H12G1\ 2G11F11F11E11E11D11D11C41011C11B11B11A11A119019018\ 018007007006006005005004004003003002002001001000Lc\ nKbmKbmKalKalKakJ`kJ`jJ`jJ_iJ_iIZhIZhIZgIYgIYfHYfH\ XeHXeHWeHWdGWdGVcGVcGVbGUbFUaFUaFT`FT`FS_ES_ESZERZ\ ERYERYEQYDQXDPXDPWDPWDOVCOVCOUCNUCNTCMTBMSBMSBLRBL\ RBLQAKQAKPAKPAJPAJO9IO9IN9IN9HM9HM8HL8GL8GK8FK8FJ7\ FJ7EI7EI7EH7DH7DH6CG6CG6CF6BF6BE5BE5AD5AD5AC59C49B\ 48B48A48A479379378368368357257256246245045134134A2\ 3KA3UK2cU2mc1zm1zm0zm0xp7un6sl6qj6nh5zm5zm5zm5zm4z\ m4zm4zm4zm3zm3zm3zm3zm2zm2zm2zm2zm1zm1zm1zm1zm0zm0\ zm0zm3zm2zm2zm2zm2zm2zm2zm2zm2zm2zc2zc2zc2zc2zc2zc\ 2zc2zc2zc2zc2zcbzcdzcfzchzcjzckzcjzcizcizchzchzcgz\ cgzcfzcmzcmzcmzcmzcmzcmzcmzcmzczzczzczzczzczzczzcz\ zUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzU\ zzUzzUzzUzzUzzUzzUzzUzzUz } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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Albrecht Niekamp's "Strange Beauty" 1536705 (2012-12-21)
by Hal Lane 22 Dec '12

22 Dec '12

While Albrecht Niekamp is on vacation and away from a computer, he has asked me to put some of his images onto my server. I did not post a fractal for 2012-12-20. Here is a link to Albrecht's fractal "Strange Beauty" created using his multifractal_10 formula: http://www.emarketingiseasy.com/Albrecht/1536705.GIF Click the image in your browser for its full size, 1600 x 1200 pixels, and to prevent its being resampled by your browser. Albrecht's fractal "Strange Beauty" seems somehow 'royally' sinister to me. It has many very sharp, perhaps dangerous, features. Further, the spikes that don't sharpen to a point, but travel to other areas to merge with other features, split into three grasping "arms" that remind me of an actual animal, a type of tapeworm: http://carlzimmer.com/books/imgs/photo_03_big.gif A strangely beautiful fractal, but a very scary fractal! I've previously posted some variations I did on the Strange Beauty fractal. The version of color map used in the following images is a colorful, rather than royal, map -- previously posted by Albrecht: "Here are some zooms into Albrecht's Strange Beauty fractal that uses his Multifractal_10 formula. The fractal has quite a bit of nifty, colorful variety in it. All 640 x 480 non-anti-aliased. They're arranged in increasing zoom depth, with the 2nd and later fractals each a zoom into the previous one: Albrecht's original Strange Beauty fractal: http://www.emarketingiseasy.com/TESTS/FOTD/STRNGBUT.GIF And zooms into it: http://www.emarketingiseasy.com/TESTS/FOTD/STRNGBU2.GIF http://www.emarketingiseasy.com/TESTS/FOTD/STRNGBU3.GIF http://www.emarketingiseasy.com/TESTS/FOTD/STRNGBU4.GIF http://www.emarketingiseasy.com/TESTS/FOTD/STRNGBU5.GIF http://www.emarketingiseasy.com/TESTS/FOTD/STRNGBU6.GIF http://www.emarketingiseasy.com/TESTS/FOTD/STRNGBU7.GIF http://www.emarketingiseasy.com/TESTS/FOTD/STRNGBU8.GIF Has numerical loss of precision: http://www.emarketingiseasy.com/TESTS/FOTD/STRNGBU9.GIF Has extreme numerical loss of precision: http://www.emarketingiseasy.com/TESTS/FOTD/STRNGB10.GIF The parent fractal: http://www.emarketingiseasy.com/TESTS/FOTD/STRNGBUP.GIF And a zoom into the parent: http://www.emarketingiseasy.com/TESTS/FOTD/STRNGB11.GIF " Paul N. Lee also posted renders of some variations on this fractal using par files Albrecht previously posted: "1536704e { ; Inside_View 1536705 { ; Strange_Beauty 1536705d { ; The_Big_Ball You may find a 1024 x 768 image version of the above PARs uploaded to the following: http://www.nahee.com/Stuff/Albrecht_1536704e.GIF http://www.nahee.com/Stuff/Albrecht_1536705.GIF http://www.nahee.com/Stuff/Albrecht_1536705d.GIF " Here's "Strange Beauty's" color map: http://www.emarketingiseasy.com/Albrecht/1536705_map.jpg It has the four 'royal' colors in gradual shades from dark to light and back to dark again. This one starts with the color gold. This type of map allows fractals with the correct patterns in them to have smoothly-shaded three- dimensional metallic features. The Fractint parameter set is below. The ready-to-run full parameter file for the fractal, including the multifractal_10 formula, is here: http://www.emarketingiseasy.com/Albrecht/1536705.par - Hal Lane ######################## # hallane(a)earthlink.net ######################## ===== Start of par file ============================== 1536705 { ; Strange_Beauty ; secant-mmods-bees-phoen-newt ; time 0.05.49 XP Dos shell ; Fractint Version 2004 Patchlevel 11 reset=2004 type=formula formulafile=mfr.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.50137769253409600/+0.100910670672261\ 60/6855.058/1/165.000000000015433/-4.8305803801440\ 5611e-013 params=-0.05825983458967864/0.3785210730307932/153\ 67.64595767025/14235.4911030602/152048.0404808048/\ 384.1604894048/384.00482000595/256.1007683001/512.\ 1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000000oNIzb0<2>zz1zzC<2>zzz<3>jqdfo_blU<3>M\ b8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiOD\ jQF<3>qeBriAtm9vq8xu7zz5zz4zz3<8>zY4zV5zS5<3>zE6wE\ 6tD6<10>w8Px8Rx7S<3>z5_<3>f5Ma5IW4E<2>_4H<3>P3DN2C\ K2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1\ ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6\ Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvlqvotv\ sww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<4>XC\ AaB9fB7<3>zA0<13>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI\ <3>UnXRm_NlcJkgFfpAaz<6>_5fc0ce7_jFR } ==== End of par file ================================

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DOS Fractint "Restore" file list omits latest images
by Hal Lane 20 Dec '12

20 Dec '12

Does anyone know if the silent omitting of files from the "Restore" file list (see behavior below) is the result of a "compiled in" limitation in DOS Fractint or a memory limitation in the WinXP DOS environment? When I recently tried to "Restore" an image in my DOS Fractint Ver 20.04.4 under WinXP SP3, I discovered that I couldn't see the last few fractals that it had calculated in the directory listing of .gif images able to be Restored. The files were really there, and could be listed and viewed by other software -- but were just not presented in the Fractint "Restore" command's file list. I noted that I had 5 thousand and some-odd files in the /Fractint/ directory, and on a whim, moved 600 of my older images to a new folder. Lo and behold, the latest images appeared in the "Restore" command's file list! Any observations on this behavior would be appreciated. Fractint Developers, would you be kind enough to address any replies to the Fractint email list serve? Thanks! - Hal Lane ######################## # hallane(a)earthlink.net ########################

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Albrecht Niekamp's "Mandscape2" 20227MA (2012-12-19)
by Hal Lane 19 Dec '12

19 Dec '12

While Albrecht Niekamp is on vacation and away from a computer, he has asked me to put some of his images onto my server. Here is a link to Albrecht's fractal "Mandscape2" created using his multifractal_10 formula: http://www.emarketingiseasy.com/Albrecht/20227MA.GIF Click the image in your browser for its full size, 1600 x 1200 pixels, and to prevent its being resampled by your browser. In Albrecht's fractal parameter set he has a note: "asymmetrical inside." It does appear at first glance that the main features along the X-axis are symmetrical about the Y-axis, but closer inspection reveals that this is not so. The features along the X-axis are set in an electric, icy blue background appropriate for the current season in mid-to-high northern latitudes. I was tempted to cut Albrecht's fractal in half down the centerline and make an animated .GIF of the two superimposed halves repeatedly alternating in the image, so the differences between them would jump out at you, but, unfortunately, I don't have the time to do it right now. If someone reminds me next year, I'll try doing it then. In Albrecht's fractal "Mandscape2," the color map: http://www.emarketingiseasy.com/Albrecht/20227MA_map.jpg again has four colors in gradual shades from dark to light, but of four colors different from the color maps of the last few fractals I've posted for Albrecht. The Fractint parameter set is below. The ready-to-run full parameter file for the fractal, including the multifractal_10 formula, is here: http://www.emarketingiseasy.com/Albrecht/20227MA.par - Hal Lane ######################## # hallane(a)earthlink.net ######################## ===== Start of par file ============================== 20227ma { ;mandscape2 (2005) ; asymmetrical inside ; Time 0.14.07.06 reset=2004 type=formula formulafile=mfr10.frm formulaname=multifractal_10 function=exp/exp/exp/sin passes=t center-mag=-0.504822/4.44089e-016/0.9463538 params=-0.05825983458967864/0.3785210730307932/20227.32595710661/25255.1\ 111020602/151024.0204808192/384.32768524288/384.00482000595/128.10076800\ 01/512.10076800005/768.10076800002 float=y maxiter=1024 inside=maxiter outside=tdis logmap=4 periodicity=0 rseed=-2436 colors=000376<2>121000001023025047049<5>0BL0DN0DP<4>0KZ0L`0Mb0Nd0Of0Qh<3\ >0Up4Yr8atCgvGkxKqz<3>4_s0Vq0Uo<12>0FQ0DO0DM<3>08E06C06A0480460240120001\ 00<12>R0LT0NV0PX0P<3>d0Wf0Yh0Z<3>p0e<3>xOtzUxyOuwIquCns6iq0g<2>k0bi0`g0_\ e0Z<3>Y0SW0RU0O<5>I0FG0EE0CC0A<3>304102010<4>0B10D10F10H20J20L20N2<2>0T4\ 0V40X3<3>0d40f50h5<3>0p6<3>WxZczeUyY<2>0s8<4>0i60g60e60c4<2>0Y40W30U4<5>\ 0I20G20E20C20A1081<3>0000101221532653863A84DA5EB5HB<2>7NG8PI8RJ9TKAVNAXM\ <3>DdTDfVEhWFjYFlYGn_Gp`Prd<3>zzz<2>_ulRsgHqaHo`GmZFkXFiX<5>BYOAWMAUL9SK\ <3>7KE6IC5GB5DA4B9497 } ==== End of par file ================================

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FOTD 19-12-12 (Two to Doomsday [No Rating])
by Jim Muth 19 Dec '12

19 Dec '12

FOTD -- December 19, 2012 (No Rating) Fractal visionaries and enthusiasts: What we are witnessing in today's image is the death of the cur- ious rectangle. No longer anywhere near perfect, the former quadrilateral has been twisted into a bent wet noodle. I began the destruction by altering the parameters, thereby changing both the orientation and location of the slice. The destruction will continue in the next two FOTD's, and then, who knows or cares what? The day of doom will be upon us, when the fate of an abstract fractal rectangle will have less significance than an ant trapped on a stick in the middle of the Pacific Ocean. But despite the hopelessness, the image is still worth a quick look. It calculates in only one minute, about as much time as is required to check the finished image on the web sites. The image is posted to the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> with high definition variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images are online at: <http://www.Nahee.com/FOTD/> Mostly cloudy skies and a temperature of 45F +7C made today totally unremarkable. The fractal cat had an unremarkable day also. The humans' day was a bit more animated as we watched the midday news reports, frustrated that the current determination to see something done about the gun situation will soon fade away as people 'get over' their outrage. Despite my recent comments, both FL and I feel there are far too many guns in our culture, which is violent enough as it is; but like nearly everyone else, we haven't the slightest idea what to do about it. The next FOTD will be posted in 24 hours. Until then, take care, and let's get people who act different off the streets and into therapy. (Hey, wait a minute! That would include myself!) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Two_to_Doomsday { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/0/100 params=91.8376/90.7176/87.4531/89.1331/-1.7435/\ -0.0001/0.000175/0.073883/2.003/0 float=y maxiter=8000 inside=0 logmap=55 periodicity=6 colors=00022M22M22L22L22K22K22J22J12I12I12H12H12G1\ 2G11F11F11E11E11D11D11C41011C11B11B11A11A119019018\ 018007007006006005005004004003003002002001001000Lc\ nKbmKbmKalKalKakJ`kJ`jJ`jJ_iJ_iIZhIZhIZgIYgIYfHYfH\ XeHXeHWeHWdGWdGVcGVcGVbGUbFUaFUaFT`FT`FS_ES_ESZERZ\ ERYERYEQYDQXDPXDPWDPWDOVCOVCOUCNUCNTCMTBMSBMSBLRBL\ RBLQAKQAKPAKPAJPAJO9IO9IN9IN9HM9HM8HL8GL8GK8FK8FJ7\ FJ7EI7EI7EH7DH7DH6CG6CG6CF6BF6BE5BE5AD5AD5AC59C49B\ 48B48A48A479379378368368357257256246245045134134A2\ 3KA3UK2cU2mc1zm1zm0zm0xp7un6sl6qj6nh5zm5zm5zm5zm4z\ m4zm4zm4zm3zm3zm3zm3zm2zm2zm2zm2zm1zm1zm1zm1zm0zm0\ zm0zm3zm2zm2zm2zm2zm2zm2zm2zm2zm2zc2zc2zc2zc2zc2zc\ 2zc2zc2zc2zc2zcbzcdzcfzchzcjzckzcjzcizcizchzchzcgz\ cgzcfzcmzcmzcmzcmzcmzcmzcmzcmzczzczzczzczzczzczzcz\ zUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzU\ zzUzzUzzUzzUzzUzzUzzUzzUz } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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Albrecht Niekamp's "Hades - The Gate to the Underworld" 21225LZ (2012-12-18)
by Hal Lane 19 Dec '12

19 Dec '12

While Albrecht Niekamp is on vacation and away from a computer, he has asked me to put some of his images onto my server. Here is a link to Albrecht's fractal "Hades - The Gate to the Underworld" created using his multifractal_10 formula: http://www.emarketingiseasy.com/Albrecht/21222HAD.GIF Click the image in your browser for its full size, 1600 x 1200 pixels, and to prevent its being resampled by your browser. In Albrecht's fractal "Hades - The Gate to the Underworld," the "Hades" color map: http://www.emarketingiseasy.com/Albrecht/21222HAD_map.jpg looks like it has the same *colors* in it as the "Many Mods" image's color map: http://www.emarketingiseasy.com/Albrecht/21225MM_map.jpg but, they're not shifted in location like the Many Mods" image's map. At the top of the fractal seems to be a red Sun and golden sands. At the bottom are perhaps symmetrical silver sand dunes. As one moves down closer to the central black Mandeloid, the sands get very much darker, and you come upon a ring of fire. Finally, you're confronted with the black, gaping maw of Hades, rimmed with fire. The Fractint parameter set is below. The ready-to-run full parameter file for the fractal, including the multifractal_10 formula, is here: http://www.emarketingiseasy.com/Albrecht/21222HAD.par - Hal Lane ######################## # hallane(a)earthlink.net ######################## ===== Start of par file ============================== 21222had { ;Hades (2005) ; The gate to the underworld ; Time 2.09.12.02 reset=2004 type=formula formulafile=mfr10.frm formulaname=multifractal_10 function=cos/sin/sin/sin passes=t center-mag=-0.188053/0.00113846/24.61324/1/-90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/21222.32595700021/22222.0\ 506020602/551024.0204808192/384.32768524288/384.0048000545/256.100768555\ 55/512.10076855555/768.10076855555 float=y maxiter=3072 inside=maxiter outside=tdis logmap=3 periodicity=0 rseed=-2436 colors=200222<24>iiijjjlll<3>sss<25>BBB999777<2>222000012<24>0bo0cq0es<3\ >0kz<25>09C08A068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3\ >000400<23>o00q00s00<3>z00<31>000 } ==== End of par file ================================

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FOTD 17-12-12 (Four to Doomsday [No Rating])
by Jim Muth 18 Dec '12

18 Dec '12

FOTD -- December 17, 2012 (No Rating) Fractal visionaries and enthusiasts: Wow! Only four more days until the end of time. Actually, if time really were to end in four days, I wonder what would come next. Most likely, it would be a fractal. And speaking of fractals, we have one today. The indescribable parent fractal came about when I combined 7 negative parts of Z^(-1.9) with 1.5 negative parts of Z^(-9.1) and added (1/C) on each iteration. This parent consists of three circular bays with a prominent minibrot lying some distance east of the main body. Today's scene lies in a triangular open area connected with the East Valley of this minibrot. The name "Four to Doomsday" indicates that the day of doom is growing near indeed. The calculation time of 9-1/2 minutes will use up a portion of this time. But saving time is where the web sites become most useful. Save time by checking the finished image at: <http://www.crosscanpuzzles.com/Archives.html> and don't forget the high-definition variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images are at: <http://www.Nahee.com/FOTD/> The heavy clouds and temperature of 50F 10C that prevailed here at Fractal central today was so routine that it left nothing to comment on. The fractal cats had no comment either, though the humans were quite animated at lunch time as we heard the litany about the need for tougher gun laws being repeated for the ten- hundredth time on TV. We want to hear more about the need to change the culture than the plans for another gun-control law that will do little or nothing to reduce violence. The next FOTD will be posted in 24 hours. Until then, take care, and I wonder when technology will solve the problem of violence. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Four_to_Doomsday { ; time=0:09:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=t center-mag=+1.086781515365839/+0.0425852688913911/\ 1.885e+009/1/-20/0 params=-7/-1.9/-1.5/-9.1/0/0/0/0 float=y maxiter=4500 inside=0 logmap=536 periodicity=6 colors=000ajK_WK_WK_VK`lK`dK`jKahKaiKagKblKbfKbiKc\ aKchKccK`lKYjKVnKShKPoKMlKKmHIoFGoDErBCpAAoA8mA6mA\ 5mA5lA5k95j95i95i95h94g94f84f84e84d84c84b84b74a74`\ 74_74_73Z73Y73X63W63W63V63U63T63S53S53R52Q52P52P52\ O42N42M42L42L42K42J32I32I31H31G31F31E31E21D21C21P3\ 1B21A21A21910810710710610510400300300200100002pc1o\ b1na1m`1l`1k_1jZ1iZ1hY1gX1fX1eW1eV1dV1cU1bT1aS1`S1\ _R1ZQ1YQ1XP1WO1VO1VN1UM1TM1SL1RK1QK0PJ0OI0NH0MH0LG\ 0LF0KF0JE0ID0HD0GC0FB0EB0DA0C90B80A80A709608607506\ 4054043032A6AKEKUMUcUcmUmwTwvSruSqtRpsRorQnqQmpPlo\ PknOjmOilNhkNgjMfiMfhLegLdfKceKbdJacJ`bI_aIZ`HY_HX\ ZGWYGVXFUWFTVFTUESTERSDQRDPQCOPCNOUMNULMUKLUJKUIJU\ HIUGHUFGUEFUEEcDDcCCcBBcAAc99c88z77z66z55z44z33z22\ z11z0zzzzzxzzvzzuzzszzqzzpzznzzmzzkzzizzhzzfzzezzc\ zzazz`zzZzzXzzWzzUzzTzzRzzPzzOzzMzzLzzJzzHzzGzzEzz\ CzzBzz9zzKzzKzzKzzKzzKzzK } frm:MandAutoCritInZ {; 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)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 18-12-12 (Three to Doomsday [No Rating])
by Jim Muth 18 Dec '12

18 Dec '12

FOTD -- December 18, 2012 (No Rating) Fractal visionaries and enthusiasts: Today's fractal features another glance at the Z^(2.003)+C rectangle. This time I have adorned it with a lively blue-and- gold color scheme, and sliced it at an angle rotated -1,-1,-1,+1 degrees from the true Julia orientation. Actually, the image is one of the better apparitions of the rectangle. Unfortunately, if the predicted doom actually arrives in three days, this could be the final apparition. The name "Three to Doomsday" indicates that the end is near enough for knees to begin knocking in terror. But the calculation time of 1-1/3 minutes will squander little of the brief remaining time. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> with hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and all the back images at: <http://www.Nahee.com/FOTD/> Heavy clouds and showers of rain put a damper on outdoor activities here at Fractal Central today. The temperature of 48F +9C was mild for the season however, and kept the unpleasant- ness at a minimum. The cats, always pleasant, slept through most of the day. A full-day's sleep might seem boring to humans but it is quite normal for cats. The humans continued to watch the TV news and continued to wonder why no one even recognizes the underlying cause of gun violence. The next FOTD, (due to doomsday, possibly the third to last), will be posted in 24 hours. Until then, take care, and some say the solution to gun violence is to enact sweeping legislation to protect us from such violence. Perhaps we must ban the private possession of all guns. (I actually heard it.) Of course, if such legislation were ever passed, the result in rural areas such as Central Pennsylvania would be to turn the farmers, who would not give up their guns, into criminals. And if anyone then tried to enforce the gun ban, the result would be civil war. (I heard this also.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Three_to_Doomsday { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0/0/100 params=89/89/89/91/-1.7435/0/0.000175/0.073883/\ 2.003/0 float=y maxiter=10000 inside=0 logmap=55 periodicity=6 colors=00022M22M22L22L22K22K22J22J12I12I12H12H12G1\ 2G11F11F11E11E11D11D11C41011C11B11B11A11A119019018\ 018007007006006005005004004003003002002001001000Lc\ nKbmKbmKalKalKakJ`kJ`jJ`jJ_iJ_iIZhIZhIZgIYgIYfHYfH\ XeHXeHWeHWdGWdGVcGVcGVbGUbFUaFUaFT`FT`FS_ES_ESZERZ\ ERYERYEQYDQXDPXDPWDPWDOVCOVCOUCNUCNTCMTBMSBMSBLRBL\ RBLQAKQAKPAKPAJPAJO9IO9IN9IN9HM9HM8HL8GL8GK8FK8FJ7\ FJ7EI7EI7EH7DH7DH6CG6CG6CF6BF6BE5BE5AD5AD5AC59C49B\ 48B48A48A479379378368368357257256246245045134134A2\ 3KA3UK2cU2mc1zm1zm0zm0xp7un6sl6qj6nh5zm5zm5zm5zm4z\ m4zm4zm4zm3zm3zm3zm3zm2zm2zm2zm2zm1zm1zm1zm1zm0zm0\ zm0zm3zm2zm2zm2zm2zm2zm2zm2zm2zm2zc2zc2zc2zc2zc2zc\ 2zc2zc2zc2zc2zcbzcdzcfzchzcjzckzcjzcizcizchzchzcgz\ cgzcfzcmzcmzcmzcmzcmzcmzcmzcmzczzczzczzczzczzczzcz\ zUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzU\ zzUzzUzzUzzUzzUzzUzzUzzUz } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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Spirals... 38400 of them
by Tony Hanmer 18 Dec '12

18 Dec '12

Greetings, Some time (nearly a year) ago I, finally posted details of a huge set of beautiful IFS spirals which I have found to the Apophysis forum, at http://www.apophysis.org/forums/viewtopic.php?f=2&t=1352&p=0&e=0&sid=d88420… They were found using combinatorics methods, i.e. starting with a small set of holons and varying certain characteristics of these, such as rotation or relative position. The zip files include a text tile giving more details. These are also able to be rendered in Fractint, or adapted, I would imagine, to 3d versions in XenoDream. Also, in Apophysis, they could all be considered as keyframes for an endless animation, from any one of them to any other and so on. This might be the most profound way of using them. Hope someone finds a use for these. Tony Hanmer Tbilisi, Republic of Georgia

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Albrecht Niekamp's "Lite Zoom" 21225LZ (2012-12-17)
by Hal Lane 17 Dec '12

17 Dec '12

While Albrecht Niekamp is on vacation and away from a computer, he has asked me to put some of his images onto my server. Here is a link to Albrecht's fractal "Lite Zoom" created using his multifractal_10 formula: http://www.emarketingiseasy.com/Albrecht/21225LZ.GIF Click the image in your browser for its full size, 1600 x 1200 pixels, and to prevent its being resampled by your browser. Albrecht's fractal, "Lite Zoom" is related to the 21225MM.GIF and 21225PA.GIF images. They share not only the same color map, but also the same five formula types selected by the digits: "21225" in the file's name: Mandelbrot, Secant, Mandelbrot, Mandelbrot, and Many Mods. The features in the fractal make some use of the smooth gradations of the four colors in the color map: http://www.emarketingiseasy.com/Albrecht/21225MM_map.jpg producing some smoothly-shaded areas. See my comments about this color map in yesterday's (Dec 16, 2012) Fractint post. It almost seems like delicate gold ferns are dipping into the blue water making waves in the water. The red and gold circular frame around the blue water makes it feel like the blue water is in a small artificial pond -- surrounded by a walkway made of tiny pieces of colorful gravel. The vertically centered ball balanced on a cone is rendered in bold patterns and colors with some features having a bit of the three dimensional aspect mentioned above. The Fractint parameter set is below. The ready-to-run full parameter file for the fractal, including the multifractal_10 formula, is here: http://www.emarketingiseasy.com/Albrecht/21225LZ.par - Hal Lane ######################## # hallane(a)earthlink.net ######################## ===== Start of par file ============================== 21225lz { ;Lite_Zoom (2005) ; Different outside ; Time 1.51.37.67 reset=2004 type=formula formulafile=mfr10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.50466/1.66533e-016/4.219409/1/-90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/21225.64595767025/13234.0\ 311030602/151024.0204808192/384.32768524288/384.00482000595/256.10076830\ 01/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=2000LS<11>0bo0cq0es<3>0kz<25>09C08A068<2>022000211<21>icNkeOmfP<3\ >unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>00\ 0<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjlll<3>sss<25>BBB999777<2>222000012\ <11>0JQ } ==== End of par file ================================

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