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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 18 Dec '12

18 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 17 Dec '12

17 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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FOTD 16-12-12 (Five to Doomsday [No Rating])
by Jim Muth 17 Dec '12

17 Dec '12

FOTD -- December 16, 2012 (No Rating) Fractal visionaries and enthusiasts: Today's image is a result of mixing 0.01 part of Z^(-2) with Z^(2) and adding straight Z on each iteration. The parent fractal is a moth-eaten Mandelbrot set filled with debris. This debris is filled with smaller distorted M-sets and lots of mandel fragments. Today's image with its minibrot at the center is located in the East Valley area of what remains of the large minibrot on the main-stem of the moth-eaten parent. The name "Five to Doomsday" indicates that time is growing short. The calculation time of one short minute will waste little of the precious remaining time. Save time. Check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> The hi-def variations are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and the back images are at: <http://www.Nahee.com/FOTD/> Heavy clouds and a temperature of 48F +9C made today a day to be soon forgotten. The fractal cats forgot it before it began, while the humans had a rather busy day. The next FOTD will be posted in 24 hours. Until then, take care, and the problem with our society is that it has programmed itself into a dead end. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Five_to_Doomsday { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-1.554435017013601/+0.0000055252962729/\ 9470414/1/-115/0 params=1/2/0.01/-2/0/0/0/0 float=y maxiter=1400 inside=0 logmap=61 periodicity=6 colors=000HbuK`qMZmNViNReONaOJYPFTPBOP7JUBHZEGbIEg\ LDkPBpSAtV9sbNrj_qrlroksljsjitgitehubgu`gppiC64H9C\ LBJPDRTFYXHd`JldLshNzcRsZVmVZgQb`MfVHjPDmJfoNbhVZa\ bVWjRPrOJzPPvPUsPZpPcmPiiPnfPscPx`_mTibLsTD3Qy5Uz7\ Yz9azBezDizFmzGqzHkxHfwIauIXtIRsJMqJHpJCoLGgNJ`PNT\ QQMSQKUQIVQGXQFZQD_QBaQ9bQ8RD2QB6PA9O9CN8FM7ISAOXC\ TbEZgGcmIirKnwMsRH9MSJHbTCmb7wlCumHtmMrmRqmWpn`nne\ mnilnZa`PSNFIArf0ka4dX7YSBSOELJHEEL79O15RuVCp_GkcK\ fgOakSXoWTsZSh8QeGObOM`VKYbIWiOPTUJDJ_H8oKSbLkQLWN\ XHLgOKdUJb_J_eIYkIVqHTwHRxGSxFTyEUyDVyDVqBXi9Zb8`V\ 6bN4dG3eF7bFA_FEYFHVELSEOQESNEVLHZPJbTLeXNi`PldRph\ TslcoZnkLxg8mZBcRETIHJAK92MKFPUSSccUb_VaXWaUW`RX`O\ X_LY_IYXPZVV_Ta`RgaPnbNtcLzdSkhZYkeJol5rnBloGfqL`r\ QWsWQu`KveEwj9xa7yT5zK3zC1Y`96yGCuFIrFOoEUlE_iDefD\ kcCq`CSiA3q9Id7XS5_VBbXGdZMg`RibXldanffibcd_a_X_VU\ YQRWO63D822925DA8HIBLPEPX } 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 15-12-12 (Six to Doomsday [No Rating])
by Jim Muth 17 Dec '12

17 Dec '12

FOTD -- December 15, 2012 (No Rating) Fractal visionaries and enthusiasts: If you're looking for a long fractal discussion, look elsewhere. For the next several days I'll be spreading my ideas about the disintegration of our culture. Today's image is a near-Julia set of the Z^(1.5)+C ground level Mandeloid. It is rotated 0.01 degree toward the Oblate direction, and is striking for the number and variety of fractal trees it holds. And like the strange mysterious rectangle, it is also one of my very early fractals. The finished image is at: <http://www.crosscanpuzzles.com/Archives.html> High-definition variations are at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images are at: <http://www.Nahee.com/FOTD/> When I began the countdown to doomsday, I was being frivolous. I didn't actually expect the end of time to come on December 21. Until now, all predictions of the end of the world have had one thing in common -- they have been wrong. But now, after the latest school massacre, it looks like I could be right, maybe not in six days, but not too long thereafter. With unending massacres and depressed adolescents walking about in a technological trance, texting like frustrated demons, maybe the end really is approaching, at least the end of our present way of life. Invading aliens from Alpha Centauri could hardly have done a better job of destruction than we have done and are still doing to ourselves. The human race is a part of the great spiritual reality known as nature. (Of course, rationalists will deny the spiritual part.) With all the technological gadgets, video games, mass media entertainment etc. we have basically cut ourselves off from our source and are floundering about like fish out of water. And what are we willing to do about it? Little more than purchase ever more advanced technological devices. Technology will save us . . . I guess it will, but . . . then again I'm not too sure. I see myself as one of a dying breed. When I go out on my morning walk to the nearby river, I carry no smart device with me. I enjoy the nature in which I am immersed. I see the high clouds in the sky indicating that warmer weather is on the way. I see the early sun striking the bare treetops. At the river I see that the water level has gone down a bit. It has been rather dry recently. And I hear honking. Looking up, I see geese flying overhead. Out on the water I see ducks bobbing, and an egret wading near the bank. And all this is free. Then I think of a local boy who was killed about a week ago when he was struck by a train while walking along the tracks to school. His hi-tech headset was so loud that he did not hear the train coming. Could something be wrong with our modern life style? It's no problem however. Before long, the codgers like myself who still remember the old times will be gone, and everyone will be free to enjoy the technological wonderland we are creating for ourselves. The day actually turned rather pleasant here at Fractal Central. At least the cats thought so. The temperature of 46F +8C was above normal, while the variably cloudy sky let through just enough sun to keep things cheerful. The next FOTD will be posted in about 24 hours. Until then, take care, and there are far too many people being killed with illegal guns. Why can't our congressmen get off their bottoms and pass legislation banning illegal guns? (Hey, I actually heard it on the local talk radio.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Six_to_Doomsday { ; time=0:00:45.22 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 center-mag=0.28169/0/1.2 params=89.99/89.99/90.01/0/-0.186/0/0/0/1.5/0 float=y maxiter=5000 inside=0 periodicity=6 colors=0000I40I40Ia0He0Hg0Gj0Gk0Fl0Fk0Ek0Eh0Ef0Dc0\ D`0CZ0CW0BT0AR09O08L07I06G05D04A038025012TAsO8iJ6`\ E5S93I4194Pz3Nw3Mt3Lq3Kn3Jk2Ih2He2Fc2E`2DY2CV1BS1A\ P19M17K16H05E04B038025012zyIsrGmlEgfC``AVV9PO7II5C\ C3661ceH`bGZ`FXZEVXDTUCRUYTSZUR_WP`YNa_Lb`KbYI_WHY\ UGWSFUQESODQMCNKBLIAJG8H1B0E7FC6DA5A848636424212xl\ 2h_1UO1FC0aygJVMekichfafd_dbYa`W_ZUYWSWUQTSORQMPOK\ MLIKJGIHEGFCDDABA898666444222yzqstlmnghhbbcYXYTSSO\ MMJGHEBB95547MW6KT6IR5HP5FM4EK4CI3BG39D27B26914613\ 4012Ec7C_6BX5AU59R48O47L36H35D24A2361221qCRnANk9Kf\ 8Ia7GX6ES5CO4AJ38E26914402TvCRrBPoAOlAMi9Lf8Jc8I`7\ GY6FV6DR5CO5AL49I37F36C24913611307tA3S5XKsUInRGiOF\ eMD`JBWGASD8NB6I85E5392148PQ7MN6KL6IJ5GH4EF4CD3AA2\ 88266144022pC3mB2jA2gA2d92b82_82X71U61R61P51M51J41\ G30D30B20810510200RwZMmTIcNDUH9KB4A5hoEelDciCagB_d\ BXbAV_9TX9RV8OS7MQ7KN6IK5 } 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 "Wild Vision" (2012-12-16)
by Hal Lane 16 Dec '12

16 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 "Wild Vision" created using his multifractal_10 formula: http://www.emarketingiseasy.com/Albrecht/21225MM.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 says that there was a typing error in the original parameter file that he posted 2005, so no one has seen this image yet. I tested the parameter file at the link below and it appears to work correctly. Albrecht's fractal, "Wild Vision" is very striking to me, primarily because its features almost seem carefully arranged -- and has a nice combination of bold and intricate features. The features of the fractal make good use of the smooth shading of the four colors in the color map: http://www.emarketingiseasy.com/Albrecht/21225MM_map.jpg producing smoothly-shaded areas. These smoothly- shaded areas have the further characteristic of being shaded from black to the fully-saturated color, and then back to black, creating a three dimensional effect that reminds me of many of Paul Carlson's fractals. 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/21225MM.par - Hal Lane ######################## # hallane(a)earthlink.net ######################## ===== Start of par file ============================== 21225mm { ; Wild_Vision (2005) ; Time 3.23.44.07 reset=2004 type=formula formulafile=mfr10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.22699/8.32667e-017/13.33333/1/90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/21225.64595718025/23434.4\ 911030602/152048.0409608192/384.3276898304/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=2000KQ<6>09C08A068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7\ A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000<9>IIIKKKLLL<9>bbbd\ ddfffgggiiijjj<3>qqqsssqqq<24>BBB999777<2>222000012<24>0bo0cq0es<3>0kz<1\ 7>0LS } ==== End of par file ================================

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Albrecht Niekamp's "Pandemonium " (2012-12-15)
by Hal Lane 16 Dec '12

16 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. Due to sub-standard book-keeping here, it may happen that a post of one of Albrecht's fractals might be duplicated. Please try to find it in your heart to forgive me if this happens. Here is a link to Albrecht's fractal "Pandemonium" created using his multifractal_10 formula: http://www.emarketingiseasy.com/Albrecht/21225PA.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, "Pandemonium" seems very 'regal' to me, primarily because of its 'royal' colors: gold, silver, red and blue. The features in the fractal are varied and complex. The features of the fractal (with the exception of the background) do not make use of the smooth shading of the four colors in the color map: http://www.emarketingiseasy.com/Albrecht/21225PA_map.jpg I suspect that Albrecht may have posted this fractal in 2005, when it was originally created. 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/21225PA.par - Hal Lane ######################## # hallane(a)earthlink.net ######################## ===== Start of par file ============================== 21225pa { ;pandemonium (2005) ; Time 0.21.15.48 ; reset=2004 type=formula formulafile=mfr10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.489028/0/0.6666667 params=-0.05825983458967864/0.3785210730307932/21225.64595718025/21235.0\ 311030602/150056.0204808192/384.32768524288/384.00482000595/256.10076830\ 01/512.1007683001/768.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=2000gt<22>09C08A068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB\ 7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000<23>fffgggiiijjjll\ l<3>sss<25>BBB999777<2>222000012<22>0_k0am0bo0cq<4>0kz0jx0hv } ==== End of par file ================================

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