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FOTD 14-12-13 (Way Out East [A-6,M-6])
by Jim Muth 14 Dec '13

14 Dec '13

FOTD -- December 14, 2013 (Rating A-6,M-6) Fractal visionaries and enthusiasts: Yesterday's image is located in the East Valley of a random Mandelbrot set at the eastern edge of the 'fan' of the parent fractal that results when various negative portions of Z^(-1.3) and Z^(-7.6) are mixed on each iteration. Today's image is located near the tip of the main spike of that same M-set. The 16 small oval rings surrounding the central minibrot in the image are typical of fractals with double negative exponents. The raggedness at the edges of the minibrot is a sign that the magnitude is near the limit of precision. Unfortunately for the ratings, the math double-negative trick is well overworked and the sallow coloring does little to improve things. Try as I did to delude myself, I could give neither the art nor the math aspects of the image a rating higher than a 6. The calculation time of 3-1/3 minutes is rather slow, but as always, the web sites are there to bring relief to the impatient. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Snow fell all day here at Fractal Central today, piling up to 4 inches or 10cm by post time, and it is still snowing. The temperature of 28F -2C was not too bad however. The old fractal cat took it in stride, while the new fractal cat was fascinated by all the white stuff falling from the sky. The humans had an uneventful day, though with the sidewalk to be cleared, tomorrow will not be as uneventful. The next FOTD will be posted soon. To see how soon, check back at frequent intervals. Until whenever, take care, and I think I spotted four calling birds in the back yard this afternoon. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Way_Out_East { ; time=0:03:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+5.36719024726443/+1.188330139613972/\ 8e+011/1/-52/0 params=-4/-1.3/-0.8/-7.6/0/0/0/0 float=y maxiter=1600 inside=0 logmap=-273 periodicity=6 mathtolerance=0.05/1 colors=000bEDcGEdIFeKGfMHgOIiQJkSKmULoWMqYNt_OwaPz\ cQzeRzgSziTzkUzmVzoWzqXzsYzuZzwWsyUowRluOhsMeqJboG\ ZmEWkBTg9Rc8PZ7OU6MP5LK4JF3IA2IF8IKEIPJIUPIZUIZ_Ia\ dK`aMa_OaYQ_WSYUUVSNVSRQWUL_XHc_Ef`Hd`JcaMaaO`bRZb\ TccXhc_mecrffvhjzimzjpzlmvljrlhmlehlbcl_ZlYUmVPnSK\ oPKpNKqKJrHJsDJt9Iu6Iu1It0HoJelIdgIddIc_HcXHbSHbOG\ aKGaGGZCFV8FO5FMTQao`bkabgabcab_bbWbbTbbPbbLcbHcbD\ cbAcbAa_9_X9YU9WR8UO8SL7QI7OF7MC6K96I66G3TE4TE4TE4\ TE4TE4TE4TE4TE4UF3VF3WF3XG3YG3ZG3_G3`H3aH3aH3bI3cI\ 3dI3eI3fJ3gJ3hJ3iJ3jK3jK3kK3lL3mL3nL3oL3pM3qM3rM3r\ M3pN5oO6nP7lQ8kR9jSAhTBgUCfWEdYFc_GbaHacI_eJZgKYiL\ WkMVmOUmPSmQRmRQmSOmTNmUMmVLmWPmXToXXqY`sYdvZhxZlz\ Zhz`ezabzc_zdXzeUzgRzhNzjKzkHzlEznBzo8zq5zr2zsEzpQ\ zmazjmzghzgdzg`zgXzgTzgPzgLzgHzgDzg9zg5zgCzdIzbPz_\ VzYazWgzTnzRtzPqzXozdmzkkzsizzgzxfzveztdzrczqbzo`z\ m_zkZzjYzhXzfWzdUzbTzaSz_ } 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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Dropbox Downloads
by Albrechtx 14 Dec '13

14 Dec '13

HI, I´m back from my trip and saw that there was a discussion about required log in in order to download from dropbox uploads. I use simple (one way) sharing and log in is NOT neccessary, tested on several other machines, even handy. Log in is offered by Dropbox as they want people to install their siftware, so if you did you probably will have to use a password again. Possible solution is to install Dropbox.. Not a big affair and safe, as far as I lnow, it´s up to you. Cheers, Albrecht

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FOTD 13-12-13 (Four Calling Birds [A-8,M-6])
by Jim Muth 13 Dec '13

13 Dec '13

FOTD -- December 13, 2013 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image is named "Four Calling Birds", the gift given on the 4th of the 12 days of Christmas. The reason for such an unlikely name is that calling birds, whatever they might be, are as rare as actual material fractals. This ambiguity is very strange, since the other 11 gifts, as unlikely as they are to actually be given, are at least easily identifiable. Today's image is not ambiguous. It lies in the parent fractal that results when 4 negative parts of Z^(-1.3) are combined with 0.8 negative part of Z^(-7.6) and (1/C) is added on each iteration. The resulting parent fractal is a typical double negative thing with a north-south string of large bays and a large fractal 'fan' extending to the east. There is a small but prominent Mandelbrot set at the eastern edge of the fan's blade, with a large connected ring extending on east beyond the M-set. Today's scene lies in the East Valley of this M-set. The art rating of an 8 is earned by the very feminine soft but subdued pastel colors of the image. The math rating of a 6 is held down by the familiarity of the math tricks involved. I am sometimes asked where my color palettes come from. The answer is that I create them myself by working with the basic color palettes supplied by the Fractint program, just as an artist creates the colors of his paintings from the color pigments he buys at the art supply shop. The calculation time of 3 minutes borders on slowness, but the time will pass quickly once the lovely pastel shades come into view. Calculation may be avoided as always by checking the web sites. The calculation-free life is available on the internet at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A mix of clouds and sun with a high temperature of 34F +1C and a lighter wind made today reasonably pleasant here at Fractal Central. The forecast is for heavy snow tomorrow however, so we shall see how long the pleasantness lasts. The fractal cats had an average day, Jazzy wanting to play with Nico and Nico putting her off because he did not want to play. The humans had a reasonably quiet day, but there are still those remaining gifts to find and purchase. The next FOTD will be posted when it is. For a more specific estimate, check back frequently. Until whenever, take care, and the first person to tell me the scientific name of a calling bird and send a photograph will have a fractal named after them. (I know that most birds call with their songs, but I want to know what particular species of bird the song 'Twelve days of Christmas' refers to.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Four_Calling_Birds { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+4.115654948465172/+1.200069830341015/\ 208872.7/1/-60/0 params=-4/-1.3/-0.8/-7.6/0/0/0/0 maxiter=2500 inside=0 logmap=259 periodicity=6 colors=00043F03F43F03F34E04E44E04E45E25E55E45E66D6\ 6D86D86D97DA7D98DC7DAAFBBHADJBELBGNBHPBJRBKTBMVBOX\ BPZBR_ATaAUcAWeAXgAZiA`kAamAcoAeqAfsAhuAivBgtCfrDd\ pDcoEamF`kG_iGZhHYgHXfIWeJVcKUcLTcMScNRcOQcPPcQOcR\ NcSMcTLcUKcVKcWLcWLcWLcWLcWMcWMcXMcXMcXMcXNcXNcXNc\ XNcXNcYOcYOcYOcYOcYPcYPcYPcZPcZPcZQcZQcZQcZQcZRcZR\ d_Re_Rf_Rg`ShaSibSjcSkcSlcTmcUmcVmcWmcXmcYmcYmcYmc\ YmcYmcYmcYmcYmcYmd_mc`me`mcameamd_ngaof`phasf_uh`t\ h_sh_sgZrgZrfYqfYpdXpeWocWocVnbVnbUm`UlaTl_Tk_SkZR\ jZRiXQiYQhWPhVPgVOgUNfTNeTMeSMdRLdRLcQKbPKbPJaOIaN\ I`NH`LXLJVKHTJFRJDPIBNI9LH7JH5HG3FGAHFGIEMKESLDYMD\ AYVAWZKVbK_fU_iUdzcrzcrzUhzUhzUcz5cz6cz7czUMoULzUL\ lBLzUKiUKzUKfNMKKMLINNFOODOQAPR8PS9RT9SU9TU9UV9WV9\ XX9Z_A`bAbeAchAekAfnAhqAitAjwBlzBmzBnzBozBpzBqzBrz\ BszDtzEuzGvzHwzJxzKyzMzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 12-12-13 (The Rags of Time [A-8,M-8])
by Jim Muth 12 Dec '13

12 Dec '13

FOTD -- December 12, 2013 (Rating A-8,M-8) Fractal visionaries and enthusiasts: Today's striking image rates an 8, which is a pretty good rating for a fractal that does not exist. The image is a manifestation of a totally evaporated Julia set, consisting of nothing but inside stuff, which if left unchanged, would be a total blank. The Mandelbrot set it comes from is also totally blank inside stuff. The manifestation has nothing to do with the appearance of a religious savior. It appears when the apparently featureless inside stuff is rendered with an active inside fill such as the bof60, which can dredge up something from nothing. The reason for the art rating of an 8 is obvious when the image is seen. The reason for the math rating of an 8 is a bit more subtle, but it assuredly is there. I chose the name "The Rags of Time" because it has a rather poetic sound to it. I can see nothing in the image to justify such a name. The calculation time of a mere 8 seconds can be cut to near 4 seconds by calculating the image with the symmetry set to 'origin'. If this is still too slow, the web sites are ready to ride to the rescue. Check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The partly cloudy skies here at Fractal Central today were no problem. The temperature of 21F -6C was another story however. The fractal cats had a reasonably quiet day, though 4-month-old fractal kitten Jazzy sometimes annoys 10-year-old fractal cat Nico when she wants to play and he wants to sleep. A warning hiss or mild growl usually puts her off. The fractal humans had a day of finishing the seasonal fractal decorations for the holidays, which are Christmas, Hanukkah, Kwanza, Solstice and the New Year etc. The next FOTD will be posted either tomorrow or in 24 hours. It makes no difference to me. Until whenever, take care, and sometimes it's hard to keep everyone happy. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Rags_of_Time { ; time=0:00:08.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5Julia center-mag=0/0/0.73647 params=-32/4/-0.8186/-0.7005 float=y maxiter=1500 inside=bof60 logmap=yes symmetry=none periodicity=6 colors=000zzKzzKzzKzzKzzKzzKzyKzxKzwKzvKzuKztKzsKz\ rKzqKzpKzoKznKzmKzlKzkKzjKziKzhKzgKzfKzeKzdKzcKzbK\ zaKz`Kz_KzZKzYKzXKzWKzVKzUKzTKzSKyRKxQKwPKvOKuNKtM\ KsLKrKKqJKpIKoHKnGKmFKlEKjDKhCKiBKfAKc9JY8IQ7GF690\ 00zi0zi0zzh8VE9NFAFG6vf7i_8XT9KMOPhwBc00U00PXXZjXB\ YODMGFSZVIAMB9GE8FG8EJ8DL8CO8BQ8AT89V88X77_76a75d7\ 4f73i72k71m70iA3eD6aG8YJBUMDQPGNRIRPNUNSYLX`K`cIeg\ GjjEomDsjCqgCpdBobBn_AmXAkU9jS9iP8hM8gJ7eH7dE6cB6b\ 96aFDKGHJGKJHNJHRJHUJIXJI`JJcIJfIJjIKmIKpILtILwILz\ IFhC9R63A15LF7WT9fe7d_6cU5aO4`J3ZD2Y71X2wVXuXYsZYq\ `ZpbZnd_lf_kh`ij`glafnadpbbrbasbQucEwc3xc6ua9s_CpY\ FnXIkVLiTOfSRdQUaOX_N_XLbVJeSIhQGkNEmLDlJDlHDlGDlE\ DlCDlBDk9Dk8Dk6Dk4Dk3Dk1Dk0Dh2Fe4Hc6I`7KY9MWBNTCPQ\ ERSqnRppPnrOltNkvLLvJNoHPiFQbDSXBUQ9VK7XD5Y7JJFX5M\ x7csFbnMbiTbd_a_faVmaXg`Yb__Y_`TZbNYcIYeDXf8XWGbMN\ hBUn1`t2Zq2Xn2Wk3Uh3Te3Rb } frm:DivideBrot5Julia { ; Jim Muth z=pixel, c=(p2), a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 11-12-13 (Fractal Music??? [A-8,M-9])
by Jim Muth 12 Dec '13

12 Dec '13

FOTD -- December 11, 2013 (Rating A-8,M-9) Fractal visionaries and enthusiasts: Today's image has an art rating of an excellent 8. The reason is apparent. The math rating however is a superior 9. This rating was earned when I noticed that the scene splits in half horizontally directly through the origin of the tiny minibrot at the center. By itself, this split is not very exciting, but then I noticed that the left and right halves are symmetrical with respect to the split, and that the features of the right half are only half the size of those on the left half. I have never before seen such a thing, which IMO earns the math rating of a 9. The name "Fractal Music???" came about when I noticed the resemblance of the circular elements to a keyboard. The three question marks were added because I have yet to hear any fractal music that sounded like anything more than semi-organized noise. And I doubt that I ever will. (Let me know when a computer running a fractal program writes a listenable symphony or a listenable anything musical.) The calculation time of 40 seconds will pass faster than the minute waltz. Those who rock instead of waltzing can find satisfaction on the web sites. Check the fractal glory effortlessly on the web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The sunshine was plentiful here at Fractal Central today, but the brisk west wind and temperature of freezing kept the outdoors too chilly for full comfort. The fractal cats spent the day taking turns gathering sunbeams and playing together, while the fractal humans spent the day putting up seasonal holiday (in other words, Christmas) decorations. The next FOTD will be posted most likely in a day or so. Until whenever, take care, and fractal music will have arrived when, instead of writing a noisy curiosity that people listen to only once, and even then out of courtesy, a fractal program writes a composition that people will enjoy listening to again and again because it moves their spirit. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Fractal_Music??? { ; time=0:00:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident inside=0 center-mag=-0.8120903305079495/+0.9967583787761772\ /4.952409e+008/1/31.5/0 params=1.333/0/3.1439495/0 float=y maxiter=12000 logmap=104 periodicity=6 colors=00000U00S00Q00O00M00K00F00A0050000000000080\ 00000000000800C00T00Z00m00P00P40PA0RG0RC0R80T6WTAg\ T0yl0Vb0Fp0cm0ck0mz0mz0cm0bm00u0ew0esKgu0gzOiz0ii0\ 0e0mi0zl0oV2oR4zN4qRAkTEeVzbXLXZRR`VNbZHdzCee8z0Tz\ 0Pz6NzHJzVHzgEzT0zz8zz6zzGvzPszXoveksmgmvdizggzimz\ mzzomzzmzzezzdzzdzzdzzbzzbzzbzzbzzbzz`zz`zz`zz`zz`\ zz`zmmu`mXNm8Cm0imCzmb0mN0mX6mdEmmJmuRmzZmzemzkmzi\ mzimzgmzgmzgmzemxemsdmodmidudbz`bzVbzRHz0zc0zc0zc0\ zc0zc2vc8scCocGzcJzmHqzHszHuzHvzHxuHzoHzTHzTHzTHzT\ Hzkkzkkzkkzkkzkzzkzzkzzkzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 10-12-13 (Buried Cupcakes [A-8,M-8])
by Jim Muth 11 Dec '13

11 Dec '13

FOTD -- December 10, 2013 (Rating A-8,M-8) Fractal visionaries and enthusiasts: Today's image is a scene deep within yesterday's parent fractal. It lies near a much larger minibrot near the outer limit of the reddish area extending to the right of the bottom of the parent. This larger minibrot will be revealed if today's image is recalculated with the magnitude reduced to 600 and the logmap reset to zero. Curiously, this larger minibrot is an exact duplicate of the parent fractal. To create today's colors I reused yesterday's palette and spiced it up to add a bit more contrast and reduce the color intensity. A minibrot lies at the center of the image, but unfortunately, it is well out of range of the DOS version of Fractint. The tiny black dot at the center is not the minibrot. It is an open area resulting from an inadequate maxiter. The art aspect rates an excellent 8, or at least in my opinion it does. The math aspect also rates an 8, since the minibrot is unusually attractive for a fractal with an exponent in the range of 1.333. The calculation time of 2-1/3 minutes will pass in a couple flashes once the quality of the final image becomes apparent. This time may be cut to a single flash by calculating the image with the passes set to 'g'. Otherwise, the web sites can make things notably less cumbersome. The image has been calculated and posted on the web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began with 1cm 1/2in of light snow and ended with lots of sunshine. The temperature of 34 was chilly, but a lack of wind made it feel reasonably comfortable. The fractal cats spent most of the day sleeping. The new fractal cat Jasmine slept almost as much as Nico. He must be teaching her all his bad habits. The humans made it through the day uneventfully. The next FOTD will be posted within a reasonable time, but due to the holiday decorating that is scheduled tomorrow, the FOTD might not appear until December 12. Until whenever, take care, and watch for inconsistencies and a lack of information before you sign on to an environmental cause. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Buried_Cupcakes { ; time=0:02:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.2777676689985294/+0.9028184557183553\ /4.336525e+011/1/67.5/0 params=1.333/0/3.1439495/0 float=y maxiter=550 inside=0 logmap=284 periodicity=6 colors=00000000044f33a33W22R22L22G11B1160020000000\ 00000F00C05P9DS9DWAC_DDaFD`J8`D6`L6aI6fGEaJLcGRcGW\ cE_iEeoFkuEpzUvz_zyezzevzYmuSmxLnzFnwGosHnoInlKniM\ omOqkPqiRrgTrfUseUshYoi`libilQgmQdhffibbk_ZlTVqGzl\ IzlIzlKzgMzgNzgPzgPzgRzhSzhUzhWzhWzhXzhYzi_zi`zIYz\ IZzI_zI`zIazKbzKczKdzKezKezNfzPgyQgwRhtThsUiqVhnWh\ lYhkZhh_hgaifbiedkedkddlaelZemYfmVgnShnPhoMioKkqHk\ qDlr9mr8gn8_kATgCLcDE_EzkxzmwznwzpwzrwzsvlYzjSzgNz\ bUzY`xOcqEckFchKcfPcdUeaZg`ciZkjYlkXmlWrj0uj0zj0zl\ 0zo0zq5zsAzuFuxKzyPzyUzzZzzczzhzzmzzrzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzvzzxzzyzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 09-12-13 (Cupcake Quest [A-6,M-8])
by Jim Muth 10 Dec '13

10 Dec '13

FOTD -- December 09, 2013 (Rating A-6,M-8) Fractal visionaries and enthusiasts: Today's image is a math special, which explains the math rating of an 8. It is also an entire parent fractal in itself, which explains why the art rating is an unspectacular 6. The entire scene has been rotated minus-90 degrees, for a marginally improved composition. The fractal actually has X-axis symmetry. The real(p2) value of 3.1439495 is not frivolous. It is the critical value at which the fractal does have X-axis symmetry. The value's closeness to the number PI is purely coincidental. The name "Cupcake Quest" refers to the two cupcake shaped buds on either side of the fractal's main bay. These buds and the filaments extending from them probably hold countless minibrots of all degrees of interest, but today is not the day we check for them. The calculation time of 1-1/3 minutes will cause stress for no one. Running a DOS file on some SOTA units can be quite a task however. Those with uncooperative machines may find the image on the web sites. The pre-calculated image is available online at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Heavy clouds, melting ice and a temperature of 36F +2C defined the day here at Fractal Central. The fractal cats had a reasonably uneventful day except when they inadvertently bumped into each other dashing around a doorway and a little mild cat profanity was exchanged. We humans were shocked by the cat language, but it was nothing we had not heard before. The next FOTD will be posted in the right time. Until righteousness prevails, take care, and feel free to disagree. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Cupcake_Quest { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-0.32195/0/1.06271/1/-90/0 params=1.333\ /0/3.1439495/0 float=y maxiter=25000 inside=0 logmap=yes periodicity=6 sound=off colors=00001S01Q02O03M04K05I06G06E06C0690460230000\ 00000D6BG6AJ7AL7AO79R79T79SD6SJ3SP0TN5TL9TJEUIIUGN\ UERZCVcB_h9cm7hr5lv4pz4gv4Zr5_o6`l7`j8ah9afAbdBbbC\ c`DdZEdXFeVGeTHfRHfTKcUM`VOZWQWXTTYVRZXO_ZL``Ju4Ut\ BSsIRrOPqVOpaMogLnnJmtIkqNinSglWei`cgdadi_bmaanbao\ dape`qg`rh`sj_tk_ul_ukZukZukZukZukZukYukYukYukYukY\ ukYudPhYHWR8JL07bMLtfZAoREiWIc_MYdPShTMmXGq`Avc5zb\ 6wb7ta8raEoaKl`Pj`Ug_Ze_cb_h_ZmYZrVZvTOy0ty7qzAozC\ mzEkzGizJgzLezNczPewOftOgqOhnOikOjhOleOmUOnUOoUOpU\ OqUOrUMrUKrUJrUHrUFrUErUCrUArU9rU7rU5rU4rU2rU1sU5s\ U8sUCsUFtUItUMtUPtUStUWuUZuUauUeuUhuckmhimhhmhgmhe\ mhdmhcmhbmmZmhVmhRvhNwhIxhDyh9xhCwmFwmIvmLvmOumRum\ UtmXtm_zmczmfzmizmlzmgzmbzmYzmTezzezzgzzhzzizzjzzl\ zzmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 08-12-13 (Wrapped Around [A-8,M-7])
by Jim Muth 08 Dec '13

08 Dec '13

FOTD -- December 08, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image came about when I took the expression Z^(1.333)+C, calculated it 7 levels up the hyperspiral (hyperladder) with the 'floor' function applied, and checked the resulting fractal. The name of today's FOTD, "Wrapped Around", does not refer to the image itself, but to the parent fractal in which it lies. This parent has been caught in the act of wrapping around the complex logarithmic hyperspiral and slipping off into uncharted higher dimensions. It consists of a large twisted open area with two broken chaotic filaments extending north and west, and a prominent bud on the southeast shore line. Today's scene lies not too far out in the chaotic filament extending to the north. I have not yet checked the bud. The art aspect rates an 8, which is justified because the image is one of the better ones I have found in the exponent range between unity and two. And I really did put extra effort into the coloring. The math aspect rates a 7, with a good part part of the worth lying in the parent fractal, which has been caught spiraling off into another world. The calculation time of 1-1/4 minutes is close to the average time it takes for a fractal to calculate on today's fireball fast but not always DOS capable machines. The web sites can deliver the image faster, with no DOS compatibility problems. So save calculation time. See the finished image online at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Cloudy cold weather with a temperature of 27F -3C prevailed here at Fractal Central today, with light snow beginning in the afternoon and worse to come tonight. The fractal cats, who do not appreciate their snug warm home, kept watch for the unlucky cats outside, who have no snug warm home to go to to keep them comfortable. In fact, Nico growled and hissed from the window when one of them wandered into the yard, looking for food. The fractal humans spent the day battening down for the winter storm, which might not be as bad as some are forecasting. The next FOTD will be posted in a reasonable time. If the storm causes problems, it might not be for a couple days. Until whenever, take care, and everyone knows what must be done to stop climate change and save the earth, but no one wants to inconvenience themselves enough to do it. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Wrapped_Around { ; time=0:01:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=floor passes=1 center-mag=-0.5153288927852182/+1.547161935824231/\ 2075069/1/92.5/0 params=1.333/0/7/0 float=y maxiter=2250 inside=0 logmap=122 periodicity=6 colors=000A2YA3XA4WA5VA6UA5TA3SA7RA5QA0PA5OA5NA6MA\ 2LB1KA3IA3G93E82C72A60850640430220010000000O05c0Rw\ 0zz0mg0hF0m00z00F0480010zczzzzgtzYmzPfzE_zBQz7Jw3C\ s06o04k00g00c00c00c00c00c00c0vz0czFnnYwNqz0pk4nS7n\ BBl0Hi0Li0Ne0Lc0La0L_0LY3KWCKUKKRUKOaKMiJPnRUp_Vuh\ _wrczzezzizzkzzizzizvgzehyTfwEfu3gr0kp0nn0pk0rh2wf\ 3yd5zb7z_9zYBzWDzUEzUGJe00p00i00e00a00Y20UB0PL0LW0\ He0Dp09z03z10z90zD0zG0uD0r90r50p30p00n00n00n00l00l\ 00i00i00g00g00g00n40uL0zc0ze0yg0ri0ll2en9ZpFSrMMuS\ Fw_9yf3zm0zt0ca1FL704D00H0BRO_aqygluigpjeknafn_anV\ YpUUpPRrNNrJJrGFuCBuA7w73w62wBJJF_00zH0zP8iVOcccci\ rcpncUlM9ih0gh0`h0Xh0Th0Nh0Jh0Fh0cy0cy0hy0hy0hy0my\ 2my4my5my0my0my0zy0zy0zy0zy0zyDz_mzcmzhmzjmzomzrmz\ vmzymzzmzzmvzmrzmnzmizmezm_zmWzzRzzNzzJzzFzz0zz0zz\ 0zz0zz0zz7zzEzzLzzTzzazzhzzrzBzz5zz0zz0zz0zz0zz5zz\ 9zzDzzGzzLzzPzzTzzXyzZtzc } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 06-12-13 (Straight and Narrow [A-8,M-7])
by Jim Muth 06 Dec '13

06 Dec '13

FOTD -- December 06, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: The strange object in today's image is a fractal bay trying to become a quadratic bud in the parent fractal that results when the formula Z^(1.333)+C is iterated 333 levels up the complex logarithmic hyperladder. This parent is a very unimpressive blob, an open area with almost nothing to attract interest. There is a small bay on the southern shore of the open area however, and it is this small bay that appears in today's image. Do not be fooled by the great height of today's scene on the hyperladder. The so-called hyperladder actually more of a hyperspiral, and the images found on it are a recurring periodic series rather than an infinity of ever new and more interesting fractals. The name "Straight and Narrow" does not refer to the difficult path to heaven. It describes the filament extending from the bud, which is filled with small minibrots. (Some of these minibrots might be worth a look.) The artistic worth of an 8 could be just a little inflated; the math worth of a 7 seems right on the mark. The calculation time of 1-3/4 minutes is a fair price to pay. For more fairness check the web sites. The fastest way to see the finished image is to check it on the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began with rain here at Fractal Central. The rain ended by 10am, leaving clouds that hung on into the afternoon until the rain resumed at 3pm. Ice and snow are expected tonight, but with a present temperature of 45F +7C, it will have to get quite a bit colder before anything frozen will fall. The fractal cats had little time to worry about the weather. Jazzy was too busy acting like a kitten and Nico was too busy watching her act so crazy. The humans had a rather quiet day, which is the way we like it. The next FOTD will appear in the near future. Until it does, take care, and I hear a lot of complaints about a lack of equal rights. If this were true, it could be remedied by proper legislation. But we have had laws granting equal rights for half a century. As I see it, the problem today is both a lack of the incentive to take advantage of the laws and the inability to do so. Jim (leaning to the right today) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= StraightAnd_Narrow { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=t center-mag=-0.369975/-0.635203/4.61/1/-167.5/0 params=1.333/0/333/0 float=y maxiter=4050 inside=0 logmap=11 periodicity=6 colors=00000000001A12A23C34E45G56I67K77M87O98QA8SB\ 8SC9SD9SE9SDASDASCASBBSBBSABS9CS9CS8CS7DS7DS9GOAIK\ BKGDNCEP8FR4HR9IREJRIKRNLRRMRWNR_PSZQTZSUYTVYUWXWX\ XXYWZZW__V``VbaUcbUdcTfdTgeSifSjgRkhRmiQnjQojQmkSl\ kUjlVilXhlYfm_em`dmbbncane_ofZohYoiWpkVplUpnSqoRqq\ QqrOnoNmlMmiKmgJpdIrcIraGrZFrXErUDrRBrOArMArJlcLlc\ MlcNlcOlcPlcQlcRlZSlZTlZUlWUlXVlYWlZXl_Yl`ZlX_lY`l\ Zal_bl_bnYZoXWpVSqUPrTLtRIuQEvPBwN7xM4yL1tO5pQ9lTD\ hVHcYLc_PcbTcdXce`cedcfhcflcgpciscgrcfrcdrccrcbqc`\ qc`qcaqcapcbpcbpcbpcaoc_ocZocYocWnbVndTnfSnhRmjPml\ OmnNmoPjpRgqTdqVarXZsZWs`TtbRudOufLvhIwjFwlCxn9yp6\ yr4zoAzkAzh0zc1zZ1zU1zP1yK1xF7wACvCIvENuGSuIYtKbtM\ gsOmsQrsSwpRsmQpjPmgOjdNgaMdZLabIoaHp`Fq_Dr_BsZAtY\ 8uX6vW4wW3xV4yV4zU4zU4zT4zT4zTKzSKzSKzRKzRKzQKzQKz\ QKzPKzPKzOKzOKzOKzNKzNKzMKzMKzLKzLKzLKzKKzKKzJKzJK\ zIKzIKzIKzHKzHKzGKzGKzGKz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 05-12-13 (On the Superspike [A-7,M-7])
by Jim Muth 05 Dec '13

05 Dec '13

FOTD -- December 05, 2013 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image shows a minibrot lying way out near the tip of the main spike of its parent fractal. But this parent is not the Mandelbrot set. It is a Z^(1.333)+C fractal with a spike that puts the spike of the M-set to shame. To begin, the spike is far longer than the M-set's spike, and it also points northwest instead of straight west, with far more fractal detail along its path. With all these superior features, I could consider the spike nothing less than super, which was reason enough to name the image for its location -- "On the Superspike". The parent fractal came about when I calculated the expression Z^(1.333)+C at a height of only one level up the hyperladder (or hyperspiral) with the cosine function applied. I think this is the first time I have applied the cosine function to the MandelbrotBC3 formula, and at today's hyperlevel it produces a rather scrambled parent with little but its one superspike. The image came about as a result of an effort to duplicate the rating of yesterday's image, but the final result was less impressive, rating only a 7 for both art and math worth. The image is a super fast one, finishing in 20 seconds or less on a SOTA (State Of The Art) machine. Even on older units it will finish very fast. Viewing the finished image is always more convenient than calculating it however, so enjoy the convenience of direct viewing by checking the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Heavy clouds spoiled the first half of the day here at Fractal Central today, while rain spoiled the second half. The temperature of 57F 14C was quite reasonable for the season however. The next FOTD will soon appear. Until the apparition happens, take care, and when a totally crazy man wins the mega-lottery and becomes unimaginably wealthy, should he then be considered merely eccentric? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= On_the_Superspike { ; time=0:00:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=cos center-mag=-4.185306304415169/+6.636739950187376/\ 7253877/1/58.75/0 params=1.333/0/1/0 float=y maxiter=2500 inside=0 logmap=41 periodicity=6 colors=00000400500700810920A30A10B30C50D81AB27918C\ 24E35G45I55K65K65N66O86T86W96YA6_B7aB7cC7eD7gD7iC8\ kC9mBAjBBeAC`ACW9DR9EM8FH8GC8G79J4AM5BP7CU8DZ9EcBG\ hCImDKrFMvGOzHOwGMuFKsEJqDHmCGmBEmAClAAk98j86i75i6\ 4g53f42e31d30cB0XI0SQ7aX7Yd6Tk5Os4Jz4Fy8JyCMyFPxJS\ xMVxQYxT`wXdw`gwcjvgmvjpvnsvqvqpsmppipmepk`phXpeTz\ bPz`cz_czZczYczzczzczzczzczzczzctzmtzmtzmpzmmNmjKm\ gImcFm`DrYArV8rS6rW6rZ6ma6me6mh6mk6mo6mr6Ou6Os7Oq8\ Op9OnAOlAOkBOiCOgDOfEOdEObFOaGO_HOYIOXIRUKTSLVQMXO\ OZMP`KQcHSeFTgDUdBWa9XZ7YW5ZZ7_b9_fB_jC_iE_hG_fI`e\ J`dL`cN`bP`aQ`ZQgYTdXVbXX`WZYV`WVbUzdRzfPzhNzjKzlI\ znGzpEziUzcizYyz_vzatzcrzepzgnzikzzizzgzzezzczzfzz\ izzlzznzzqzztzzwzzyzzyzzyzzyzzyzzyzzezzMzz2zz5zz7z\ zAzzCzzFzzHzzJzzMzzOzzRzzTzzVzzYzz`zzczzfzzizzlzzo\ zzrzzuzzxzzvzzuzztzzrzzqzzpzznzzmzzlzzjzzizzhzzfzz\ ezzdzzizzmzzrzzvzzzzzpzzf } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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<Brian>I like your logarithmic spiral made of logarithmic spirals!
by Hal Lane 05 Dec '13

05 Dec '13

Brian, Thanks for posting your two images. I especially like your BP_18_64.png -- the logarithmic spiral made up of logarithmic spirals! Your image reminds me of a fractal I was calculating overnight, but lost due to a Blue Screen of Death... Is BP_18_64.png a zoom into Jim's FOTD for Nov. 29th, 2013? <---<< - Hal Lane (\__/) ######################## (='.'=) # hallane(a)earthlink.net (")_(") ######################## ----------------- Author: Brian Prentice Date: 2013-12-03 08:50 -500 To: Fractint and General Fractals Discussion Subject: [Fractint] Two Details Two details from recent FOTD's: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_64.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_65.png Brian Prentice ----------------- --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 04-12-13 (Pseudo-Quadratic [A-9,M-9])
by Jim Muth 05 Dec '13

05 Dec '13

FOTD -- December 04, 2013 (Rating A-9,M-9) Fractal visionaries and enthusiasts: Today's superior image shows a minibrot in the parent fractal that results when the expression Z^(1.333)+C is iterated one level up the hyperladder with no function applied. This parent fractal rather resembles the eastern half of the main bay of the Mandelbrot set, complete with a quite convincing large quadratic bud on its northern side. Today's unusually brilliant scene features a minibrot lying on a tiny disconnected filament fragment near this almost-quadratic bud. >From a distance, the minibrot in today's image is shaped strikingly like the countless Minibrots found in the M-set, though a closer check reveals huge differences. The name "Pseudo Quadratic" refers to this false resemblance. In my opinion, both the art and the math aspects are worth the rating of a 9. The art rating reflects the extra effort required to achieve the brilliancy. The math rating is so high because I have never seen a minibrot so closely resembling a quadratic minibrot in a fractal with an exponent of Z as low as 1.333. The calculation time of 4-3/4 minutes is admittedly slow, but at least in today's case, the result is well worth the wait. The finished image is or soon will be available on the following FOTD web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Fine early winter weather prevailed here at Fractal Central today. The day began with heavy fog, but the fog lifted in the morning and revealed a mostly sunny sky that remained that way through the afternoon. The ample sun raised the temperature to a high of 48F +9C. The fractal cats appeared too interested in each other to pay much attention to the sun on the window shelf. The fractal humans had other things to do. The next FOTD will be posted in the proper time. Until whenever, take care, and which is worse -- conservatives who want to pass laws to force everyone to obey the rules of behavior set down in their Bible or liberals who want to pass laws to eliminate the natural inequalities inherent in humanity? As I see it, neither of these goals is ever going to be achieved, but it sure is a lot of fun watching the two sides continue their futile squabbling. Jim (neither right nor left) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Pseudo-Quadratic { ; time=0:04:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.3243347326496687/+1.081261598206034/\ 3.441011e+009/1/172.5/0 params=1.333/0/1/0 float=y maxiter=5000 inside=0 logmap=-305 periodicity=6 colors=00000B00C00D00E00F10G20H30I40J50K60L70M80N9\ 0OA0P50G50H50I50J50K50L50M50N50O50P50Q50R50S60T70U\ 80T80T71S72S63S64Q53P53O42M40J30H30D208204100zQKtJ\ KqAKn8Hj8Dh46g60hB0iH0jL0kP0lT0mX0ma0ne0oi0pm0qq0z\ zFzzcVbB7HL6KK6MJ6OI6RH5TG5VF5YE5_D5aC6eD7iD8lD9pE\ AsEBwEBzEIyKPyQWyWbyaiygoylmvjkthjrfhpdfnbel`ciZbg\ X`eVZcTYaRW_PVYNTWOSVORTOQSPPQPOPPNNQLMQKKQJJRIHRH\ GRGESFDSECSJJWOQ_TXcYcgbjk`il_hmZhmYgnXgoWfoVfpUeq\ TeqSdrRdrOZzMTzJOzHIzECzC7zDCzDGzEKzEOzFSzFXzG`zGd\ zHhzHlzHpzIqzJqzKqzLqzMrzMrzNrzOrzPszQsXQsVRsSStPT\ tNUtKctImmKzmMzmOzmQzmSzmUzmWzmYzmZzmZzmZzmZzmZzmZ\ zmZxmZymZtmWomTjzRezOczMczJczHczEmzCmzJmzQmzXmzcfz\ jmzgmzemzbmz`mzYozWqzUszRuzPwzMzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 03-12-13 (The Absolute Limit [A-5,M-7])
by Jim Muth 03 Dec '13

03 Dec '13

FOTD -- December 03, 2013 (Rating A-5,M-7) Fractal visionaries and enthusiasts: How low can you go? No, we're not talking about the long-gone fad of limbo dancing, the lowness lies in today's exponent, which is the 128th root of 2 or 1.0054298, a value so close to unity that its graph is barely distinguishable from a straight line. But thanks to the MandelbrotBC3 formula, and also the multi-valued nature of the complex log function, we have dredged up something from almost nothing. True, today's image consists of nothing more than arcs filled with smaller arcs all the way down, but the screen is not filled with a flat pattern and a smooth-edged boundary. The art rating of a 5 is everyday average. The math aspect has more interest, and rates a 7, which is somewhat above average. The name "The Absolute Limit" refers to my present feelings about the low-exponent theme. It does not mean I will never try to find detail in a fractal with an exponent of 1.0027112, but it does mean that if I ever do go searching, it will not be for a while. With a running time of 4-1/4 minutes, the calculation is a bit on the slow side, so if time is a factor, check the web sites. To avoid calculation the image check the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A mix of sun and clouds with a temperature of 46F +8C and a calm wind made today rather pleasant here at Fractal Central. The fractal cats spent their waking hours getting to know each other better and their sleeping hours asleep. The fractal humans, if that's what we are, spent the day doing routine things. The next FOTD will be posted in the near future. Until the near future arrives, take care, and have you heard the conspiracy theory about the existence of conspiracy theories? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Absolute_Limit { ; time=0:04:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-14.7101/1.17509/8.709171/1/19.25/0 params=1.0054298/0/0/2400 float=y maxiter=2000 inside=255 logmap=405 periodicity=8 colors=000D880000000000000000000000000000000050080\ 0800900900A00A00C00C00D00D00E00E00F00F00G00G00H00H\ 00I00I00I00I00I00J00J00J00J00L00L00L00L00M00M00M00\ M00O00O00O00O00P00P00P00P00R00R00R00R00Q00O00R00R0\ 0U00U01W02X04Z05_06a08c09d0Af0Ch0Di0Er0Eq0Gu1Hv4Jz\ 5Kz8Kz9MzCOzDPzGRzHRzKUzMXyO_tPaoRaiSadUa_WaWZaR_a\ MaaHcaDda9fa5ha1iZ0kW9mPMmESo5Zr0Sp0Mf0EX18O44G658\ 850A50D50E50J60M81P95UAAXCG_DMcERhGXkHcoJiwJhrKfmM\ dhOccPa_R_WSZRUXMWXJW_DUa9Sc4Rf0Ph0Oi0Of0Jc4Ea9AZG\ 8WO4UU0Ra0Ph0Ma2JWCGRKEKWGMdIMpKMzMMzOMzQMzSMwUMvW\ MtYMr_MpaMmcMkeMigMhiMfkNcmOaoQ_qSZsUXtWWuYZv_awad\ xchyekzgozirzkvzmyzozzqzzszzuzAaz0azXaz0azfazzazka\ zzaz0azzaz0azzaz0azhrzcrzZrzUrwRrrMrmHriardarZaraa\ rdarharkryorzwrzrrzmrzirzfrzarzZrzWrzPrzSrzUrzXvzZ\ yzazzczzfzzhzzizzZzzPzzMzzazzizzrzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Two Details
by Brian Prentice 03 Dec '13

03 Dec '13

Two details from recent FOTD's: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_64.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_65.png Brian Prentice

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FOTD 02-12-13 (Thirty-Second_Root [A-7,M-8])
by Jim Muth 02 Dec '13

02 Dec '13

FOTD -- December 02, 2013 (Rating A-7,M-8) Fractal visionaries and enthusiasts: Today's image is a scene in the parent fractal that results when Z to the power of 1.021897 is iterated at ground level of the hyperladder with no function applied. Not coincidentally, this value is the square root of the exponent of yesterday's image, and also the 32nd root of 2. The parent fractal of today's image closely resembles the parent of yesterday's image, though with less chaos along the edges of the large bay, which is shaped much like an elephant seal with a large pendulous nose. Today's image is located in the chaos near the straight southern shore line of the large bay. The amount of semi-organized detail in the scene is unexpected in a fractal created by an exponent of 1.02..., but images do not lie, and the stuff in today's image did not come from nowhere. (Or did it?) The name "Thirty-Second Root" refers to the exponent of Z. The art rating of a 7 indicates that the image is worthwhile, though perhaps not as striking as some past fractal scenes. The math rating of an 8 shows that the amount of detail in the image is quite unexpected. The calculation time of 1-3/4 minutes will pass quickly enough. For convenience, the image has already been calculated and posted to the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> Variations are available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A cloudy sky and temperature of 41F +5C made today entirely un-notable here at Fractal Central. The fractal cats, who are not quite ready to share the window shelf, took turns watching the outside scene. The fractal humans, who wonder what the world is coming to, kept their wonder alive by watching the TV news at lunch time. The next FOTD will be posted soon. Until whenever that might be, take care, and when people dislike a big corporation, they usually fight it by organizing a boycott against the corporation's products. The big oil corporations certainly are disliked, even hated, so where are the cries for a boycott of products derived from petroleum Jim (they got us hooked) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Thirty-Second_Root { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-7.97709/-0.623008/9.910814/1/33/0 params=1.021897/0/0/1500 float=y maxiter=3500 inside=255 logmap=106 periodicity=8 colors=000A0HA0JA0LA0NA0PA0RA0TA0RA0PA0NA0LA0JA0HA\ 0FA0DA0CA0D00C00C00I00I00I00I00J00J00J00J00L00L00L\ 00L00M00M00M00M00O00O00O00O00P00P00P00P00R00R00R00\ R00M00O00P00R00S00U01W02X04Z05_06a08c09d0Af0Ch0Di0\ Er0Et0Gu1Hw4Jz5Kz8Kz9MzCOzDPzGRzHRzKUzMXyO_tPaoRai\ SadUa_WaWZaR_aMaaHcaDda9fa5ha1iZ0kW9mPMmESo5Zr0Sp0\ Mf0EX18O44G658850A50D50E50J60M81P95UAAXCG_DMcERhGX\ kHcoJiwJhrKfmMdhOccPa_R_WSZRUXMWXJW_DUa9Sc4Rf0Ph0O\ i0Of0Jc4Ea9AZG8WO4UU0Ra0Ph0Ma2JWCGRKDKWrMdrMprMzrM\ zrMzrMzrMwrMvrMtrMrrMprMmrMkrMirMhrMfzaczaaza_zaZz\ aXzaWzaZzaazadzahzakzaozarzavzayzazzazzazzazzazzaz\ zazzazzazzazzazzazzazzazzazzazzazhrzcrzZrzUrwRrrMr\ mHriardarZaraardarharkryorzwrzrrzmrzirzfrzarzZrzWr\ zPrzSrzUrzXvzZyzazzczzfzzhzzizzZzzPzzMzzazzizzrzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzaaa } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 01-12-13 (Alien Sea Creature [A-6,M-6])
by Jim Muth 01 Dec '13

01 Dec '13

FOTD -- December 01, 2013 (Rating A-6,M-6) Fractal visionaries and enthusiasts: There is little to be said about today's image, which is simply the parent fractal that results when the expression Z^(1.044274)+C or Z^(sqrt(sqrt(sqrt(sqrt(2)))))+C is iterated at ground level of the complex hyperladder with no function applied. The image reminded me of a scene in the sea of a hypothetical water world, where a sea creature is swimming toward the surface. The name "Alien Sea Creature" soon followed. The amount of smaller detail in the fractal is striking, especially in the area of the little 'flipper' just below the sea creature's head. This area is most likely to hold minibrots, though due to the slowness, I have not yet checked there. The art and math aspects of the image both rate a 6, which is at least a little above average. The calculation time is a rather slow 3-1/4 minutes, most of which can be saved by checking the FOTD web sites. Save a few minutes by checking the finished image at: <http://www.crosscanpuzzles.com/Archives.html> with curious and interesting variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Heavy clouds and chilly temperatures made today an unpleasant one here at Fractal Central. The fractal cats, who are learning fast how to co-exist in peace, had a day of playing and resting, while the fractal humans did the things humans do on days unfit for outside activity. The next FOTD, most likely another venture into the world of ultra-low exponents, will be posted in the near future. Until we see how near, take care, and keep those drugs and those new electronic gadgets coming. They keep us distracted from the pathetic condition of present-day humanity, and the even worse future that awaits both us and our children. (And I wonder when, if ever, high technology will ride to the rescue.) Jim (negative but blunt) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Alien_Sea_Creature { ; time=0:03:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident inside=0 center-mag=-10.4062/0.743786/0.1168224/1/40/0 params=1.044274/0/0/525 float=y maxiter=22000 logmap=2 periodicity=10 colors=00000F00G00H00I00J00J00K00K00K00L00L00L00M0\ 0M00M00N00N00N00N00O00O00O00O00P00P00P00P01Q01Q02Q\ 02Q03R03R04R04R05S05S06S06S07T07T08T08T09U09U0AU0A\ U0BU0BV0CW0CX0DY0EZ0F_0G`1Ha2Ib3Jc4Kd5Le6Mf8Ng9OhB\ PjCPkEQlFRmHSoITpKTqLUrNVtOWuQXvRXwTZtU`qVbnWckXch\ YceZcb_c_acXbcUccRdcOecLfcIgcFhcCicLjWUjPwkIarAGlC\ HfEH`FHVHHQJIKKIEMI8OI3PI7SJBUKFWLIZMM`NQbOUdPXgQ`\ iRdkShpSgmTfjUegVddWcbXb_YaXZ`U_`S_bOZcLYdHXfEWgAV\ h7VfCSdHPcLMaQK_VHZZEXcBWg9UcGS_NQXTOT_mUemUlmUrmU\ rmUrmUrmUpmUomUnmUmmUlmUjmUimUhmUgmUfzcdzcczcbzcaz\ c`zc_zcazcczcezcgzcizckzcmzcozcqzcszcszctzctzctzct\ zctzctzctzctzcuzcuzcuzcuzcuzcuzcugmxdmuamrZmpXmmUm\ jRmhcmecmacmccmecmgcmimqkmspmummwjmyhmzfmzcmzamz_m\ zWmzYmzZmz`mzamzcmzdmzfmzgmzhzzazzWzzQzzJzzDzz7zzA\ zzCzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 29-11-13 (Winged Minibrot [A-7,M-7])
by Jim Muth 29 Nov '13

29 Nov '13

FOTD -- November 29, 2013 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's venture into the realm of ultra-low exponents takes us down to the world of Z^(1.07071)+C, where we check no farther than ground level of the hyperladder as it appears with no function applied. 0.7071 is the square root of 0.5, though this is of no significance in the appearance of today's fractal. The parent fractal resembles an unbalanced boomerang, with today's image located in the western part of the chaos between the two arms. There actually is a minibrot at the center of the chaos filling the screen, which justifies the name, though it is too small to show up at today's magnitude. This unseen minibrot is shaped like a torpedo and surrounded by patches of chaos of the most chaotic kind. The name "Winged Minibrot" came about when the two large amber elements in the upper part of the frame reminded me of a pair of wings. The art and math aspects both rate a 7, meaning they are worth a look, but nothing that might win a prize. The calculation time of 1-3/4 minutes seems a fair price for the image, though the FOTD web sites can make the price much more fair. In all fairness, the finished image may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Clouds and cold temperatures made today feel like a day from midwinter here at Fractal Central, with a high temperature of 34F +1C that was barely far enough above freezing to make the ice damp. The fractal cats spent the afternoon sleeping and playing, while the fractal humans spent the day recovering from Thanksgiving. The next FOTD will be delayed until at least December 1st. Until whenever, take care, and we must seek out the latest trendy electronic gadgets that we simply must have for Christmas. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Winged_Minibrot { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-7.3593914824083/-1.9453641284373/2.906\ 568e+007/1/171.250 params=1.07071/0/0/525 float=y maxiter=4000 inside=0 logmap=194 periodicity=6 colors=000zbDz`CzbCwZBtaBqWBrYAnTAjOAiT9iQ9cP8hK8f\ J7cH7bF600051665B79G7DL8HQ8LV9P_9SdPQOQVMQ_LQdJQiI\ QnGUsFcwEhrGmnHrjIvfJzaLzYMzUNzQOzLQzHRzDSz9Tz5Uz6\ Sf6Rd6Pa6O_6NX6LV6KS6JQ6HN6GL6FP5GT5HX5I`5Jc5Jg5Kk\ 5Lo5Mr5Mp9LoCKnFJlIIkLHjOGhSFgVEfYDd`CccBbfAai9VkG\ PmMIoSCqYUe_kVagUWdTQaTLZSFWSAYTCZTE_TGaTIbTKcTMeT\ OfUPgURiUTjUVkUXmUZnU`oUapV_qVYrWWsWUsXStXQuYOvYMv\ ZKwZIx_Gy_Ey_DeVTNQgRNhVKhYIiaFieCihAjl7jo5jl9hjCf\ hFdfIbdL`aO__RYYUWWXUU_SSbRVZSYWS_TSbQSeNSgKSjHSmE\ SoBSpH_pNgpToQljShiUdhW`gZWf`SebOddKdVNoMPyLRxKTwJ\ VvIXuHZtG`sFbrFdrEfqDhpCjoBlnAnm9pl9ql8km8en8_n8Uo\ 7Po7Jp7Dp77q72qLP4JLBIHIHDPF9WE5bD1iFEbGRWHcQK`PMY\ POVPRTPTQPVNPXLP_IPaFPcCPfAPh7Pj4Pl2P1_L4ZK7YJAYJD\ XIGWHJWHMVGPVGSUFVTEYTE`SDcRCfRCiQBkQBfO9bM8YK7UI5\ PG4LE3KD4JD4ID4IC5HC5GC5GC5IF9JICLKFMNIOPLPSORVRSX\ UU_XVa_XdbYge_ih`lkannKeW } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 27-11-13 (Moonrise on Vega-4 [A-8,M-9])
by Jim Muth 27 Nov '13

27 Nov '13

FOTD -- November 27, 2013 (Rating A-8, M-9) Fractal visionaries and enthusiasts: Today's image has a math rating of a 9. This is because I have finally checked a world that I long knew existed but have never looked into. Today, for probably the first time, we have a fractal created by iterating an expression with an exponent of Z between zero and +1. In today's image, the iterated expression is Z^(0.7)+C. When rendered in the default manner the parent fractal is a hopeless looking blank screen consisting totally of black inside stuff. But sometimes a hopeless mass of 'inside' stuff can be brought to life by rendering it with an active inside fill such as the 'bof61' I used in today's image. (I believe this fill colors the points according to which iteration comes closest to the origin.) When I did this with today's hopeless parent fractal, I was greeted by perhaps the most chaotic mass of fractal junk I have ever turned up. I can find no themes whatever in the patches scattered about the frame of today's image. The only thing that stood out when I first saw the image was a near perfect circle in the background. I colored this circle a brilliant white and subdued the other colors until I finally had what I saw as a scene on an alien planet. With no particular planet in mind, I named the image "Moonrise on Vega-4", which is a hypothetical world that probably does not exist. The artistic rating of an 8 is a humble reference to the coloring. The exceptional math rating of a 9 indicates that this is my first venture into the world of exponents between zero and +1. The calculation time of 2-1/2 minutes seems about right for an image that rates an 8. But bargain day is here! The wait may be avoided by checking the finished image on one of the FOTD web sites. Take advantage of the bargain. View the finished image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> And check the variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Today was a big improvement over yesterday here at Fractal Central, but still nothing to enjoy. The heavy clouds hung around all day, with a raw north wind and a temperature of 39F +4C. A few light sprinkles of rain and flurries of snow were of no consequence. Jasmine, the new fractal cat, began the day with a visit to the doctor, which spoiled her day. Nicholas, the old fractal cat, was thankful that it was not him. The humans spent the day preparing for the thanksgiving feast tomorrow. The next FOTD will be posted when it is ready. Most FOTD's take 24 hours to cook, so I would not be surprised if the next one were to appear in that time. But until whenever, take care, and if a future scientist were to create intelligent life in the laboratory, would it prove that God is not needed to explain man's existence or that intelligent design is necessary to create intelligent life? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Moonrise_on_Vega-4 { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=round passes=1 center-mag=+0.422913203/+0.291279598/1388/1/10/0 params=0.7/0/5/0 float=y maxiter=300 inside=bof61 logmap=yes periodicity=6 colors=000ebedcecdebeeafe_geZheYieXjer5Wr6Us6Ts7Ss\ 7Qt8Pt8Nt9Mt9Ln8Oh7Qb7SY6US6WM5ZH4`B4b53d03f24e35e\ 46e57d67d78d89cAAcBAcCBbDCbEDbFEaGEaHFaJG`KH`LH`MI\ _NJ_OK_PLZQLZSMZTNYUOYVOYWPXXQXYRXdZMZRXTKgODq_Hmj\ LiwOeuPeKQesRerSeqTepUeoVenWemXelYejZei_eh`egaefae\ 000PjdOidNgdMfcMdcLccKacJ`bJZbIYbHWaGVaGTa7J`EQ`DP\ `DN`CM_BK_VleUmeTneSoeSqfRoeQmePlezxzVdPVdPVeOWeOW\ fNWfNHJMXgMXgLYgLYhKYhKZhJ5CJZiIZiIYfJXdKWaKV_LJFM\ UVMTTNSQOSOORMPQJQKHQOEROCSNASM7TL5UL3UCAIM6WM7XN8\ XN9YNAZOCZJG_OE`PF`PGaPHbQJbQKcQLdQMdRNeROfRPgSRgS\ ShSTiTUiTVjTWkUYkUZlU_mV`mVanVboWep0KoUboTaoS`oR_o\ RZoQXoPWoOVoNUoNToMSoLRoKPoJOoINoIMoHLoGKoFJoEHoEG\ oDFoCEoBDoACo99nABoBDoBEoCGpCHpDJpDKqEMqFNqFPrGQrG\ SrHTsHVsIWsJYtJZtK`tKauLcuMfvLduLctKatK`sKZsJYrJWr\ IVqITqISpHQpHPoGNoGMnHNpGLnGKlGJjGIhGHfGGdGFbGE`GD\ ZGCXGBVGATG9RG8PG7NG6LI7N } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 26-11-13 (Dying Butterfly [A-9,M-8])
by Brian Prentice 27 Nov '13

27 Nov '13

Here is another view of Jim's extraordinary fractal: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_62d.png This version is colored a little differently and zoomed out to show more of the detail surrounding the minibrot. Brian Prentice

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FOTD 26-11-13 (Dying Butterfly [A-9,M-8])
by Jim Muth 26 Nov '13

26 Nov '13

FOTD -- November 26, 2013 (Rating A-9,M-8) Fractal visionaries and enthusiasts: In yesterday's discussion I said that the day's fractal was filled with hard to find minibrots. But difficulty is no put-off for me when it comes to finding fractals. Using the 'fmod' method, I found a minibrot on the first inzoom. Today's image shows that minibrot. In the upcoming FOTD's I will show several more minibrots that are equally unlikely. The minibrot lies in the large field of debris extending southwest from the tooth-shaped open area of yesterday's fractal. The fuzziness is partly due to the inherent fuzzy nature of the minibrot itself and partly due to a curious breakdown of resolution in the area immediately surrounding the minibrot. Those using fractal programs with better resolution might be able to clear away part or perhaps all of the fuzziness. In my opinion, the art rating of a 9 is justified. And due to the unexpected complexity of the minibrot, the math rating of an 8 is also justified. The name "Dying Butterfly" describes the first thing I saw in the image. The calculation time of 4 minutes is on the slow side. But the web sites are always there to speed things up to instantly. The finished image is posted online at: <http://www.crosscanpuzzles.com/Archives.html> with various variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Today was unpleasant from dawn to dusk here at Fractal Central. The day began with light snow, which piled up about 3cm before changing to rain in the afternoon, while the temperature slowly rose from 30F -1C to 34F +1C. The fractal cats took a few peeks at the slush outside but spent most of the day sleeping and playing. The new fractal cat Jasmine, (we call her Jazzy), is developing into quite an athletic little feline, leaping a meter (3 feet) into the air after her dragonfly toy. The old fractal cat Nicholas, (we call him Nico), wonders where she gets all her energy. The fractal people spent the day watching the ice come and go. The next FOTD will be posted in the proper time. Since I have no idea what time might be proper, I can give no exact time. Until whenever the proper time arrives, take care, and no one is perfect. People should expect only lies and disappointment from the politicians they choose to be leaders. So to avoid future disappointment, expect nothing, as I did 5 years ago. A nega- tive attitude might be unpleasant, but it is all too often correct. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Dying_Butterfly { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-6.362700179650554/-2.356504276722922/\ 1.2e+011/1/45/0 params=1.09/0/0/525 float=y maxiter=16384 inside=0 logmap=373 periodicity=6 mathtolerance=0.05/1 colors=000KchKchKchKaiKaiKaiK`kK`kK`kK`kK_lK_lK_lK\ YnKYnKYnKYnKXoKXoKXoKWqKWqKWqKWqKWqH_kFbdLX_D_T5VO\ 0YJ1ZL2_O4XQ5XT8_U9fXAZ_C_aDddFceHahJ_kKYnNYrLXoKW\ lJUkIThHSgFQdEPcDO`CN_BLXALW9LT8LS6LP5KO4JL3IK2HI1\ GH1FE0ED0DB0BA0A809608A18C48E67H97JC6NE5PI3SK2UN1X\ Q1`T1cW1e_1ha0ke0oh0rk0uo0xr0zu0zs1zs1zr2zr3zr4zq5\ zq6zq9zoAzoBzoCznDzdEynFybIylJylKvkLskNqiOniPkiQhh\ TehUchW`gXYgYWg_Te`Qe`Oe`Ng`Lh`Ki`Jk`Il`HocFocDqXA\ qN8qW4oW3pW2of6nZAlVDkWHhWLebPccT`iXYk`WkeUliWnnYo\ r`ovcrnesghuakv`nx`qy_sz_vzCyzFzzIzzIzzIzzIzzIzzIz\ zOzzOzzOzzOzz`zz`zz`zz`zz`zz`zz`zz`zznzznzznzznzzn\ zznzznzznzznzznzznzznzznzznzznzznzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 25-11-13 (Toothache [A-7,M-8])
by Jim Muth 25 Nov '13

25 Nov '13

FOTD -- November 25, 2013 (Rating A-7,M-8) Fractal visionaries and enthusiasts: Today's image is the parent fractal that results when the expression Z^(1.09+C is iterated at ground level of the hyperladder with no function applied. I rarely use parent fractals as FOTD's, but today's parent struck me as having enough bite to earn the honor of being declared FOTD for 25-11-13. The reason for the name "Toothache" is now obvious. As the exponent of Z is decreased toward unity, the resulting parent fractals tend ever closer to a circle. But this tendency can be avoided for a while by calculating the fractal as it appears on one of the remote levels of the hyperladder. In today's image however, we need no remote level. The fractal is interesting enough right at the ground level, where we find a Mandeloid that resembles nothing as much as a newly extracted tooth. Despite surface appearances, the image is filled with well hidden and quite hard to find smaller minibrots. I will present a few of these in future FOTD's, though do not expect any paradoxical images to magically appear. The art rating of the image is a reasonably respectable 7. The math rating is a very respectable 8, mostly due to the unexpected richness of the outer filaments of the fractal. The calculation will cause no problems. The image will finish in less than one minute on most units, at least those that do not panic at the sight of a DOS prompt. Panicky units can be spared the panic by checking the finished image on the FOTD web sites. The finished image is online at: <http://www.crosscanpuzzles.com/Archives.html> with grand themes and symphonic variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> After a morning low of 16F -9C the temperature rose to a not very warm afternoon peak of 34F +1C. Helped by hazy sun, it felt almost comfortable after the biting winds of yesterday. The fractal cats agreed, as did the fractal humans. The next FOTD will be posted when both it and I are ready. Until that marvelous moment arrives, take care, and how could one communicate the directions of left and right to an alien imprisoned in a ship in outer space, with no knowledge of the outside universe? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Toothache { ; time=0:00:55.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-3.94562/-2.28956/0.2032885/1/-45/0 params=1.09/0/0/525 float=y maxiter=13000 inside=0 logmap=7 periodicity=6 colors=00000E00I00M00Q10U20Y30`40g50i60m70q80q90sA\ 0rC0qE0oG1nI2mK3kL4jM5iN6gO7fP8eQ9cRAbS9aTBZUCWVEU\ WFRaHPmIMzJKzLHrMEzOCrP9zR7rS4zT2rW4mY6m`8mbAmeCmg\ EzzGzzIzzKzzMzzOzzQzzOzzNzzMzzLzzJzzIzzHzzGzzEzzDz\ jCziBzh9zg8zf7ze6zjKznYzrkzvyzJXzKZzL_zLazMbzNdmUe\ mOgmUhmUjmQkmUmmUnmUomUpmUpmUpmUqmUqmUqmUqmUmccicc\ fccbcc_ccWccTccPccMccIccFccBcc8cc4cc1cc4cc6Im8ImAI\ mCImFImHImJImLImNImQImSImUImWImYIm_ZmXomUmzWlzXjzY\ izZgz`fzaezbczcbze`zf_zgZzhXzgVzgTzgRzgPzzNzzLzzJz\ zHzzFzzDzzBzzZzzZzzZzzZzzZzzZzzZzzZzzczzczzczzczzc\ zzczzczzczzczzczzczzczzczzczzczzczzczzczzczzczzczz\ czzczzczzczzczzczzczzczzczzczzczzmzzmzzmzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 24-11-13 (Bad Translateration [A-6,M-5])
by Jim Muth 25 Nov '13

25 Nov '13

FOTD -- November 24, 2013 (Rating A-6,M-5) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that results when the expression Z^(1.85)+C is iterated 0.5094505 part of one level up the hyperladder. I picked this odd height because it produces a fractal that almost has X-axis symmetry, not that it makes much difference in the resulting fractal. (Since the symmetry is illusional, X-axis symmetry, which appears right, will not work with today's particular parameters.) This parent fractal resembles a Mandelbrot set with its west half cut off and its East Valley split into two halves. Today's scene lies on the north shoreline of the northern East Valley. The name "Bad Translateration" might refer to some abstruse point of advanced matrix math, with deep philosophical ramifications involving reality. Actually, it means nothing. The nearly shapeless minibrot at the center bears little resemblance to any kind of M-set, while the overall pattern is far too haphazard, with no central theme. As a result, the art value is an unimpressive 6, while the math stuff, which has often been seen before, rates no higher than a humdrum 5. To make things worse, the calculation time of over 5 minutes will lead to impatience in those so prone. My solution to the problem is to rush to the web sites. View the finished image on the web sites without the chore of doing the calculation. The sites may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The mostly sunny skies here at Fractal Central today were spoiled by a temperature of 23F -5C and a biting northwest wind. The fractal cats spent the day being glad they were inside. The fractal humans spent the day doing the things humans do indoors on a cold Sunday afternoon. The next FOTD will be posted in probably 24 hours. Until whenever, take care, and we should feel sorry for the liberal environmentalists, who care about both the environment and the underprivileged. I have rarely seen anyone in such a dilemma. They say the world must cut its carbon emissions, and at the same time help the emerging nations achieve a better standard of living. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= BadTranslateration { ; time=0:05:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.20097930259243/+0.12797587283477/3.8\ 5526e+010/1/-50/0 params=1.85/0/0.5094505/0 float=y maxiter=6400 inside=0 logmap=736 periodicity=6 colors=00000D00L00M60N51O42P00R34R35S26T26U16V16W0\ 6X06Y77ZE7_K7_R7`_7ac7ai7cbDWWJRPPLIVGB_BAWF9SJ9ON\ 8LR7HV7DZD9bH6fIAZHCPKCHR6IU5JX5K_4Lb4MeOKgfIvyGrz\ FozFkzFhzFX4LX4PY4UY4ZZ4cZ4gzzzzzzzzwzzmzzKvzArzAm\ t9hn8ce8ZX7UP7PJ6KE6FC6G09A8CDCFHFILILOMOSPQWST_dZ\ RdTJeMBfG3fA4gI4hP5hX5ic5ijTOXU3KUAKcBKZ2KU0KK0KA0\ K0N0KW_UWWcZZkaaoedshgvkizhfzmcScDEp9Bh69`37U0DQ9J\ MIOIQUEZ_Agd6oCpIEiNGbRHXVJQZLJbMDfO6IP0VHiWJ`bLSh\ MJnSKdXKWaKNYISVHWSG_PFcMEgJDkGCoTKqeSsr_tjVqDdKHb\ JL`IOzIzfzVVGzTGzfFzkEzaEzVDNYpPZpR`pTaqWcqYeq_nza\ hrcirfZriPrlErn4rg5ja5cW5WQ6PK6HE6A863C85GA7KC9NEA\ LKGKQLJVRI`WGfaFkfEqlDvqGsoIpnKmmeO0dT8dXFc`NceUbi\ ajbTheXfh`dkdjmhJmhGmbCmX9mR5mL2mG5mC7m89w4FwFKwPP\ w_UwibwhZwhlpkpqnsrqxststwvuyzvVzwSzxPzyLzzIzzFzzB\ zz8zzKzzKzzKzzKzzKzzKzzKzzKzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 22-11-13 (A Passing Minibrot [A-6,M-5])
by Jim Muth 23 Nov '13

23 Nov '13

FOTD -- November 22, 2013 (Rating A-6,M-5) Fractal visionaries and enthusiasts: Today's image lies in one of the two East Valleys of the parent fractal that is generated when the expression Z^(1.85)+C is iterated 0.5094505 levels up the complex hyperladder. The level is set to such a critical value because at this particular level the parent appears to have X-axis symmetry. The appearance of symmetry is false however. It exists only on the surface. The art value of the image, with its overbearing minibrot, rates only a 6, and the math rates only an average 5. All is not lost however, for the minibrot is surrounded by smaller detached minibrots just waiting to be explored. I will check some of these smaller minibrots in the next few FOTD's. The name "A Passing Minibrot" refers to the way I found the minibrot. At first I passed right by it, but then I returned to have a second look. After a few minutes I saw enough there to make it today's FOTD. The calculation time of 2-1/4 minutes will pass fast enough, though it may still be a bit too slow for such a mediocre image. Mediocrity can be avoided however by checking the FOTD web sites. The calculated image is posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Thick clouds and occasional light showers held spirits to a low level here at Fractal Central. The temperature of 50F 10C was mild enough, but was wasted by the clouds. The fractal cats seemed cranky this afternoon, possibly due to the weather. The humans had a very average Friday. The next FOTD will be posted in two days, on November 24. Until then, take care, and pay no attention to those who say we are becoming too dependent on technology and are even becoming addicted to it. Even higher technology will solve all our problems and put the doomsday prophets in their proper places. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Passing_Minibrot { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+0.2005901796/+0.1279569602/21526.13/1/\ 27.5/0 params=1.85/0/0.5094505/0 float=y maxiter=6400 inside=0 logmap=84 periodicity=6 colors=000LIWKMVJRTIVSH_QGcPFgNElMDpKCtJBoIAkIAgI9\ cH8ZH8VH7RG6NG6IF5ED4AC46B36E36H26K26N16M16Q06U06Y\ 77ZE7_K7_R7`X7`c7ai7abDWWJRPPLIVGB_BAWF9SJ9ON8LR7H\ V7DZ69b66ffl`VSRK7HR6IY5Jd5Kk4Lq4MsOKufIvyGrzFozFk\ zFhzFX4LX4PY4UY4ZZ4cZ4g_4l_4q`4v`4zOY_BzAAs99l98e8\ 7Z86S75L74E6376216659A8CDCFHFILILOMOSPQWSTZWWbZZfa\ aiedmhgpkiqhfqfcrc`raZr_WsXTsVQtSOtQLdqHhnDll9pj5s\ h2tc5t_8tVBuRDuMGuIJuELfRHScDEp9Bh69`37U0DQ9JMIOIQ\ UEZ_Agd6oCpIEiNGbRHXVJQZLJbMDfO6jP0nHiWJ`bLShMJnSK\ dXKWaKNYISVHWSG_PFcMEgJDkGCoTKqeSsr_tjVqDdKHbJL`IO\ ZISXHVVGZTGaRFePEiNElLDpLCsMCwNBzOBuPAtQAsR9rS9rT9\ pU8oV8nW7mX7mY7mZ6m_6m`6ma6mb5mc5cc5fc5jc4mc4pc4sc\ 4qc7oc9ncBlcEkcGicIgcLfcNdcPccSamU_mWZmZXm`WnbYoYZ\ pT`qParKbsGetEguCivBkw9nx8py6qz5rz3sz2tz5uzUvzUwzU\ xzUyzczzczzczzczzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 21-11-13 (Corrected Version of FOTD for Nov. 21 [A-7, M-5])
by Jim Muth 23 Nov '13

23 Nov '13

FOTD -- November 21, 2013 (Rating A-7,M-5) Fractal visionaries and enthusiasts: To find today's image we checked the parent fractal that results when the expression Z^(1.9)+C is iterated only one step up the hyperladder with no function applied. This parent consists of a reasonably recognizable Mandeloid rotated so that east faces south and twisted so that the main bud faces northwest. A very obvious but disconnected minibrot lies just southeast of the main bay. Today's scene lies a short distance north of this minibrot. I named the image "Random Searching", which describes the technique I used to dredge up today's scene. The minibrot at the center resembles the parent fractal rather closely, though I did not check to see if that disconnected minibrot exists nearby. The art rating of a 7 indicates that I am less than fully satisfied with today's image. The math rating of a 5 shows that nothing new exists in the math aspect. The calculation time of a little over 2 minutes will pass quickly enough. Those who like their fractals at turbo speed can check the web sites. The finished image is available on the following web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The clouds that ruled the roost today kept things suppressed. The temperature, which began at 21F -6C and rose only to 43F +6C merely added to the chill. The fractal cats spent the day sleeping and playing. When ten-year-old Nico grew tired of play and eight-week-old Jasmine wanted to continue, we had to put her in the spare room to give Nico a break from the action. The next FOTD will be posted in a reasonable time, until then, take care and when one person's common sense contradicts another person's common sense, they cannot both be right . . . or can they? . . . Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Random_Searching { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.718487803007509/-0.01658645125406608\ /1.659661e+007/1/150/0 params=1.9/0/1/0 float=y maxiter=2500 inside=0 logmap=238 periodicity=6 colors=00000821942A63B84CA5DRBETCFVDGPE9RFCVFJZFEX\ FJRFIVFKcFHkFEaHBfI8jJ5nJ3pQArWHtaNvgUxm_ulXskVpjT\ niRlhcmh`mgZmfXmeVmdTmdQmcOmbMmaKm`Im`GmbImcKmdMmf\ OZgB`hDciFekHglJjmLlnNnpPqqRsrTusUrqTpyTznTzlTzjSz\ cTzeSzfRzhQziPzy9zz9zzAzzAzzBzqBjjRjkRjlRknPloNll7\ mm5no3Tj2`VSplbnhRhnFco3`m5Yk7Vi9TgBQRDNQFKOHINJFK\ L2CN0FO3EL18J8DHBCEDBCGDAIH7GG5NG3LI4JK5HM5FO6DQ7L\ R7JT8HV9FX9DZAB`B9aBdbJgbHicFldCneAqf8sf6TaPWdUZgZ\ ajcdmhgpmisrktsmttottqturtujkpcckXWfPNaIFXB7Scun7C\ QO`ZcxgboObg5Ye7Ud8QcAMbBH`DD_E9ZG5YHGJVR5gXOcaf`f\ yYbqUZiRVaNSVKONGKFDH8AMC9QG9VJ9ZN9bR8gU8kY8o`8hd6\ bg5Xn4cp3mz2cz1cz0czngeQb_XYVbcQhcUzcUzmUzmUzmUzzU\ WzUMzTazRivQprPwuUzmZzhZzhZzhZzcazchzchzchzmhzmhzm\ hzmbemefmhgmknmntmqqmtnmwlmzimzfmzdmzbmz`mz_mzYmzX\ mz_zzbzzfzzjzznzzrzzvzzyzzszzmzzhzzbzzYzzPzzHzz9zz\ DzzHzzLzzPzzXzzczzDzzMzzK } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 21-11-13 (Random Searching [A-7,M-5])
by Jim Muth 22 Nov '13

22 Nov '13

FOTD -- November 21, 2013 (Rating A-7,M-5) Fractal visionaries and enthusiasts: To find today's image we checked the parent fractal that results when the expression Z^(1.9)+C is iterated only one step up the hyperladder with no function applied. This parent consists of a reasonably recognizable Mandeloid rotated so that east faces south and twisted so that the main bud faces northwest. A very obvious but disconnected minibrot lies just southeast of the main bay. Today's scene lies a short distance north of this minibrot. I named the image "Random Searching", which describes the technique I used to dredge up today's scene. The minibrot at the center resembles the parent fractal rather closely, though I did not check to see if that disconnected minibrot exists nearby. The art rating of a 7 indicates that I am less than fully satisfied with today's image. The math rating of a 5 shows that nothing new exists in the math aspect. The calculation time of a little over 2 minutes will pass quickly enough. Those who like their fractals at turbo speed can check the web sites. The finished image is available on the following web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The clouds that ruled the roost today kept things suppressed. The temperature, which began at 21F -6C and rose only to 43F +6C merely added to the chill. The fractal cats spent the day sleeping and playing. When ten-year-old Nico grew tired of play and eight-week-old Jasmine wanted to continue, we had to put her in the spare room to give Nico a break from the action. The next FOTD will be posted in a reasonable time, until then, take care and when one person's common sense contradicts another person's common sense, they cannot both be right . . . or can they? . . . Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Random_Searching { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.718487803007509/-0.01658645125406608\ /1.659661e+007/1/150/0 params=1.9/0/1/0 float=y maxiter=2500 inside=0 logmap=238 periodicity=6 colors=00000821942A63B84CA5DRBETCFVDGPE9RFCVFJZFEX\ FJRFIVFKcFHkFEaHBfI8jJ5nJ3pQArWHtaNvgUxm_ulXskVpjT\ niRlhcmh`mgZmfXmeVmdTmdQmcOmbMmaKm`Im`GmbImcKmdMmf\ OZgB`hDciFekHglJjmLlnNnpPqqRsrTusUrqTpyTznTzlTzjSz\ cTzeSzfRzhQziPzy9zz9zzAzzAzzBzqBjjRjkRjlRknPloNll7\ mm5no3Tj2`VSplbnhRhnFco3`m5Yk7Vi9TgBQRDNQFKOHINJFK\ L2CN0FO3EL18J8DHBCEDBCGDAIH7GG5NG3LI4JK5HM5FO6DQ7L\ R7JT8HV9FX9DZAB`B9aBdbJgbHicFldCneAqf8sf6TaPWdUZgZ\ ajcdmhgpmisrktsmttottqturtujkpcckXWfPNaIFXB7Scun7C\ QO`ZcxgboObg5Ye7Ud8QcAMbBH`DD_E9ZG5YHGJVR5gXOcaf`f\ yYbqUZiRVaNSVKONGKFDH8AMC9QG9VJ9ZN9bR8gU8kY8o`8hd6\ bg5Xn4cp3mz2cz1cz0czngeQb_XYVbcQhcUzcUzmUzmUzmUzzU\ WzUMzTazRivQprPwuUzmZzhZzhZzhZzcazchzchzchzmhzmhzm\ hzmbemefmhgmknmntmqqmtnmwlmzimzfmzdmzbmz`mz_mzYmzX\ mz_zzbzzfzzjzznzzrzzvzzyzzszzmzzhzzbzzYzzPzzHzz9zz\ DzzHzzLzzPzzXzzczzDzzMzzK } 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 20-11-13 (This is a Minibrot [A-8,M-7])
by Jim Muth 21 Nov '13

21 Nov '13

FOTD -- November 20, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: "This is a Minibrot" This phrase is not only the name of today's image, but it is also a harsh fact of the image. The tiny hole at the center of the scene is a minibrot in the parent fractal that came about when I calculated the expression Z^sqrt(2)+C at a height of 14 levels up the hyperladder with no function applied. This parent is a shapeless thing, impossible to describe in words, with no resemblance at all to a recognizable Mandelbrot set. Today's image lies on a filament extending from a mis- shapen bud on the northeast side of the parent. I chose sqrt(2) as the exponent of Z because the minibrots in this family of fractals are sometimes surrounded by two- and four-way symmetry, making them easier to find, though nowhere near as easy as straight quadratic minibrots. I sometimes wonder what separates a minibrot from the countless other holes that parent fractals are often filled with. As I see it, the difference is that true minibrots do not fill in regardless of how high the maxiter is raised. Also, minibrots almost always lie in a basin, with the number of surrounding elements increasing without limit as the edge of the open area is approached. The other holes that fill fractals are often simply random open areas that never fill in, or open areas at the center of bottomless spirals that will fill in with a higher maxiter. Most minibrots are of the quadratic variety, even in fractals created by a combination of exponents other than 2. This quadratic shape appears to be the generalized shape of minibrots, much as parabolas are the generalized shape of curves in the graphs of many functions. Today's minibrot is of order 1.414... a variety which has no generalized shape at all, and is therefore quite interesting. The art rating of an 8 shows that I am quite satisfied with the colors. The math rating of a 7 was given a boost by the colors. There is little new math stuff in the image however. The calculation time of 2-3/4 minutes is slower than I would have preferred, but the FOTD web sites can eliminate the slowness. These web sites may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began with a biting cold temperature of 23F -5C but the clear sky and resulting strong sun bumped it up to 43F +6C by afternoon. The fractal cats, who are just learning to play together, were too busy chasing each other up and down the fractal hallway to take advantage of the afternoon sunlight flooding their shelf in the southwest window. The humans, much less playful, spent the day tending to more pressing but less interesting things. The next FOTD will be posted when the time is right. Until whenever that might be, take care, and I admit that fractals are awesome, but are they groovy? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= This_is_a_Minibrot { ; time=0:02:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.864016578592/+0.61309334532/9.9e+007\ /0 params=1.414213562375/0/14/0 float=y maxiter=3200 inside=0 logmap=295 periodicity=6 colors=0000BY0Dd0Hf0Lt0Qt0Vs2Zs6cq9hqBlqGqoKvoOznR\ znVznTziRxdQqaOkYNdTLZQLRLKLIIGEHAAG47E02E00I04L09\ O0BT0GW0KZ0Na0Rf0Wi0Zl0co0ht0kx0oz0tz0xx0zq2vk7qdB\ lZGhTKcNQZHWVBWQ6VL0TH0RD0QB0OB0NB0LA0KA0IA0HA0E70\ B40910600200000000000000000000000200900D00H00L00R0\ 0W00`00d00k00o00t10y1WzQYzTYzWYzZYzaYzdZzhZzklnnoq\ qtsttvxtxztzztzztzztzztzstz`nzIsz1vz0sz0ot0ln6ihDh\ aKdVRaOZZIfWDnV7tRDvQIxNOyLVzI`zHdzGkzDqzBxz9zz7zz\ 6zz9zzByzDqyGktHcqKWlNQhOIdRB`T6Yz02o6ETEQ7Na0Wl0a\ o0hs0nv1ty4zz9zzBzz7zy2oq0dh0V`0KT0HO2GK9EGDDDIB9N\ 94T71Y60c40h20i90iD0iH0kL0kQ1kV4lZ7lc9lhBllDflE`lG\ VlHQlIKlKElL9lN4lO0lQ0lR0lR0fV1aY9Y`ETcKOfRIiYEldA\ ok6sq1vl4t0T70Y40c10h00n00s00x00v00t04t09t0Dt0Ht0L\ t0Qt0Vt0Zt0ct0ht0lt0qt0vt0zt0vz0tz0tz0tz0tz0tz0tz0\ tz0tz0tz0tz0tz0tz0tz4tzBtzILzQOzYRzdVzaWz`ZzZ`zYaz\ WdzVfzThzRkzOlzNozLqzKszI } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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MandelbrotBC3
by Brian Prentice 20 Nov '13

20 Nov '13

My favorite among the formulas used regularly by Jim is the MandelbrotBC3 formula. Here are three details from yesterdays FOTD: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_58a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_58b.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_58c.png Brian Prentice

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FOTD 19-11-13 (Over-Stimulation [A-6,M-5])
by Jim Muth 20 Nov '13

20 Nov '13

FOTD -- November 19, 2013 (Rating A-6,M-5) Fractal visionaries and enthusiasts: Today's image combines 3.4 negative parts of Z^(-1.4) with 0.85 negative part of Z^(-5.4) on each iteration. The parent fractal is a typical double negative thing with the usual north-south chain of large bays and a large 'fan' pointing east from the origin. A cloud of cut-off fractal rings surrounds the whole thing. Today's image lies on the eastern rim of the 'fan'. The over-rich effect of the image was achieved by rendering the scene with the outside set to 'tdis', which divides the elements into extremely narrow bands. The name "Over-Stimulation" refers to the super-abundance and super-richness of the colors in the image. This overkill holds the art rating to a mediocre 6. The math has been doing its thing for over 10 years, so I could rate it no higher than an unimpressive 5. The calculation time of 3-3/4 minutes borders on slowness, but the web sites will greatly reduce the wait for satisfaction. The finished images are posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A mix of sun and clouds with a temperature of 43F +6C made today a typical November day here at Fractal Central. The fractal cats, who are getting along quite well, paid little attention to the outside weather, looking instead for more food. The fractal humans, who sometimes deny their fractal nature, had another near normal day. The next FOTD will be posted, most likely but not certainly, in 24 hours. Until the time it actually is posted, take care, and scientific truth occasionally changes, while religious doctrine almost never changes. Which is more likely to be true? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Over-Stimulation { ; time=0:03:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+3.877183342573586/+0.9093269278525011/\ 3.464122e+009/1/-29.25/0 params=-3.4/-1.4/-0.85/\ -5.4/0/0/0/0 float=y maxiter=5000 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000CCaCCaCCaCCaCCaAAO66U1663G35P57Z7AlABvBA\ qAAlA9h98c87ZC6UM7RZAQTCPaCLaCHaCEaCLaCTaJXaSekekk\ KqfPkzPfzUkzUpzZpzZpzckzbjzftz`muSipJdkC_fCXaCTaCP\ aCLaCHaCHaCEaCEaCEaCCaBDYTThlhbzwSzzEzzCzzC0000000\ 00000000G33U66lAAzCCzCCzCCzCCzdJzUSzzSzUSzzSzUSzUS\ zzSzUSzzSzzSzUSzzSzzSzUEzzSzz`zUkzztzzzzUzzzzzzzzc\ zzzz0zzzczzcz0yzzczzcz0yzzczCvzCvzCzzCzzOzzzmzzczz\ mzzUzkzzXpzJdzBevAml8mc7mZ6mU7mR9hPAqNCzLCzHCzECzC\ CzCCzCCzCCzCCzCCzCCzCCzHCzhOoz_XzkCzvCzzCzzJzzCzzX\ JzaOzeSziXzm`zq`ztezxkzzpzztzztxkzkCzOezCzcCzECzCC\ zCCzCCzCCzCCzCAqC6UB2BB33G44KCLz55P000000000000000\ 00000000000000002000000002000000000000000000000000\ 0000000000000200B22K44U6BlAMzC_zCkzCvzCzzCzzCzzCzz\ CzzCzzCzzCzzCzzCzzCzzCzzCnzC_zCLzLCzXCzcCzzCzzEzzX\ zmtzmzzmzzmzzmzzmzzmzzmzzmzzzzzXzzCzzCzzEzvOzt`zqj\ vhhhiv`dzJ_zCXzCPzC611611 } 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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(Finally!) New images on Hal Lane's 'Variations on FOTD' site
by Hal Lane 19 Nov '13

19 Nov '13

There are many new images on my "variations on Jim Muth's FOTD" site -- from Oct 29th - Nov 8th so far: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html I've been having trouble accessing my server to upload images and web pages. My rented server in Utah is serving OK, and is successfully seen in a Canadian proxy server, but is intermittently available to me -- to view and/or upload. Repeated TRACERT commands (in the cmd window of my WinXP) show repeated, consistent loss of connections during several of the "hops" between me and my server on a scale of hours to months. In the past these kinds of problems "within" the internet have cleared themselves up in 24 - 48 hours, but this one has stayed with me. I just got a window of good connectivity and uploaded several days worth of images. I've been calculating the images every day, but I just couldn't get them onto the server reliably. I'd like to know if any of you had / are having trouble viewing my site -- and, if so, what state / country you are in. Thanks! - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 18-11-13 (Awesome Chaos [A-7,M-6])
by Jim Muth 18 Nov '13

18 Nov '13

FOTD -- November 18, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: The chaos in today's image is awesome. (I think that's the currently trendy word to describe something that is very impressive.) The name "Awesome Chaos" is therefore fully justified. The image came about when I calculated the expression Z^(2.0075) at a level 17.2 steps up the complex logarithmic hyperladder, which would probably prove to be closer to a hyperspiral if we could comprehend higher dimensions. All this hyper stuff exists because the complex log function is multi-valued, which means there are an infinity of fractals that can result from an expression as simple as Z^(2.5). The parent fractal appears as a Mandelbrot set rotated 180 degrees so that the main spike points out to the east along the positive X-axis. Strange things are happening in this area, but in today's image we check the East Valley, which lies on the western negative X-axis and is broadened into a small wedge. Today's scene lies near the southern edge of the wedge blade, in an area where the chaos is near its maximum. The chaos here is in the form of herringbone arcs and crescents, several of which appear in today's image. The total chaos is so extreme that it actually detracts from the overall artistic effect, and holds the art rating to a 7. The math rating remains at a 6. Nothing new appears in the fractal math. The calculation time of 3-1/4 minutes borders on slowness, so why take a chance. Check the finished image on the web sites. Be thrifty, save time by viewing the finished image at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Lots of sun, a brisk breeze and a temperature of 57F 14C made for a rather pleasant autumn day here at Fractal Central. The new fractal cat Jasmine leaped onto the rim of the tub then lost her grip and slipped in, She spent a couple hours drying off. The old fractal cat Nicholas wondered how any cat could be so clumsy. The humans watched the action with amusement. The next FOTD will be posted in a not-too-long period of time. Until whenever, take care, and can something considered awesome also be considered groovy? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Awesome_Chaos { ; time=0:03:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.253095984594/-0.006795518592/8276542\ /1/-57.5/0 params=2.0075/0/17.2/0 float=y maxiter=2750 inside=0 logmap=280 periodicity=6 colors=000DaVEbSJdQLdNNfJOgErCzmBrjAlfCfaI_YPWVTTS\ VMRaH000922C22G33N74UE6_M7fS9lYArdCCfyAMl7QaCURKaL\ 56PzzzzzzzzzzzwwzqsyilubfpV_nPUjGztPzrNzrNzqMwpLro\ HnmHgjFdjF`iDXiDSgAezzcxz`ttZplXodVlXRiMzzzzzzzzzz\ zzyyytusmrjgoa`lUUiKehZpfwqPzoDznCzlCzjCziCzhCzfCz\ dCzcCzaCz_CvXBrVAmQ9hL8cF7ZA6UH7ZO8cT9h_JleUjjcjon\ ournzwlzxqzxvzyyzeSzPCoSA_V7L_79fAAlEBaPWWYhRjzJwz\ CzZEb3G62D7AA9LADY8Fi9JtBLBBuCCrJHoQMlWPi`TffYdlcg\ nZgoUhpPipKirEktBltBloHijTgfbeffffpgczfvCzvUzwnzzz\ zzzzzzzzzzzzzzzzzzzxzvtznozejrWenPaiFXa7Wg9Ti9RtBM\ uIGoR6UW9JiBgt9gi9f_FgTPiKNgLSzhUzeUzcUzaQfVrzXUuR\ SpNRnKQjFVktUioThjTgfRVaTg_TgYTgUSTRQgLozzzpzznzzn\ zznzzmzzfzzozzuzzoztnzntzmrzot_nofmnellelkeqqqqqqq\ qqzzzzzzyyzyyzyyzyyzyyzyyzyyzzyzzyzzyzzyzzyzzyzzyz\ zvRzuPzzNzzMzzJzzIzzGzzWzzSzzRzzPzzNzzMzzJzzIzzGzz\ UzzUzzUzzUzzUzzUzzUzzUzzU } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 17-11-13 (Good Things Take Time [A-7,M-6])
by Jim Muth 17 Nov '13

17 Nov '13

FOTD -- November 17, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Good things take time indeed, and today's image takes a full 20 minutes to finish calculating. I leave it to the individual viewer to decide whether the image is good enough to warrant the 20-minute running time. The parent fractal is a strange one indeed, which comes about when (Z) is subtracted from Z^3 on each iteration before (C) is added. The east part of this parent is normal enough, but it has problems when we look as far west as Seahorse Valley. Instead of having two branches, in today's parent the valley has four branches, coming from the NW, NE, SE and SW. Today's scene lies rather deep in the NW valley. The ratings of 7 and 6 are close to normal, and in my opinion not quite worth the excessive calculation time. But hope springs eternal in the form of the FOTD web sites. Save scads of time by checking the web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Heavy clouds and occasional rain spoiled the day here at Fractal Central. The temperature of 57F 14C was mild enough, but who could enjoy it with rain threatening? The fractal cats Nico and Jazzy made the most of things, chasing each other up and down the long fractal hallway like Nico once did with fractal cat Cassie when she was still around to chase him and be chased. The fractal humans passed the day doing fractal chores. The next FOTD fractal will most likely but not certainly be posted in 24 hours. Until whenever, take care, and could fractals be an evil government plot? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= GoodThingsTakeTime { ; time=0:20:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident center-mag=-0.170055369380586/+0.1667836400753697/\ 5.643e+009/1/45/0 params=1/3/-1/1/0/0/0/0 float=y maxiter=12500 inside=0 logmap=1882 periodicity=6 colors=00005V05805905A05B05C05D05E05F05G05H05I05J0\ 5K05K05K05K05K05K05K05K05K05K05KkAghAieAjcAk`AlYAm\ WAnT7oR4pIUpXTmjBkiIjhPjhWjkUgnTdpSbsR_vQXxPVvOZuO\ btOfnSbiV_dYW_`TUcPPfMKiIFlFCgOAbX8Ye6TmEQjMOgTLe`\ JbgH`fIeeIjdJncJscJwdKteKqfJnaIlXDdUAXS8TO9RN8PM8M\ M8KM8GJBHFFOCLVDS_EYdFbiGhnGmrKoiOq`SrTWtKZuCLRUOM\ QQHMSDJTELUENVEPVERWFTXFVYFXYFYWG_VH`UHaSIbRJcQJdV\ KcZLccMcgNclOcpPctPcqLdoIemEfkBgi7hg4ie9cdEYbISaNM\ _SGZWA_Z9``9ab9zzzzzwwzmtvertYpsSnqXlpa0vS0nO0fK0Z\ G0RC0J80B4040000_jOTbVMV`ENj7Fr07z1Fs2Ns3Qs3Ts4Ws4\ Zs4au5dv5gw5ixFasOUnYMifFdjE`VDYPCUJJRDBN7AK1AH6KH\ AUHFcHJmHNwHSuIXtJarKfqLkpMpnNzmOzlPz`VzP`hEeyvKpq\ JWlJWgIWbIXdIYeIYgIZhI_jIhkImmIznImfEmZBmR7mJ4mP9m\ VEm`JmeNmcJmZfmZOmc5`cAdcEgcIkUMoURrUVvUZyUbtXap_`\ kb_ge_chZZkYVnXRqXNtX`wi`zn`zn`zn`zn`zn`znaznaznaz\ naznaznaznjzfhzkgzoazhWzb } 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 15-11-13 (The Other End [A-7,M-6])
by Jim Muth 15 Nov '13

15 Nov '13

FOTD -- November 15, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image comes from the same parent fractal as yesterday's, though instead of being located in one of two curious minibrots at the northern extremity of the parent, it is located one of two equally curious minibrots at the southern extremity. This explains the name "The Other End". Today's image closely resembles yesterday's, with the similar colors adding to the resemblance. Due to a little extra effort in the coloring, the art rating of the image is a 7. The not- very-inventive math aspect rates a humble 6. The calculation time of 6 minutes will drag, so save time by checking the web sites. The web sites may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Hazy sun through thin clouds slightly dampened the cheerful atmosphere here at Fractal Central today, though the temperature of 52F 11C felt just about right. The fractal cats paid little attention to the outside conditions. They were too busy trying to figure out how to play together without fifteen pound Nico overwhelming three pound Jasmine. It looks like she will need to add several pounds before she will be a fair match. The fractal humans had another in an endless series of normal days. The next FOTD will probably not be posted until November 17, which will give the humans a idle day for a little R&R. Until whenever, take care, and activists who want to demonstrate for worthy causes should first be sure they know all they can about the causes. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Other_End { ; time=0:06:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.1063689248681386/-1.048182739794936/\ 7.20392e+010/1/-28/0 params=1/1/1/3/0/0/0/0 float=y maxiter=2500 inside=0 logmap=390 periodicity=6 mathtolerance=0.05/1 colors=000910B20D30F40H60J80MA0OC0QE2SG4TI6TK8TMAW\ SF`_KbjPcqemwzerlZjdSbWLVNEND7I46F56D66B6585566568\ 58A4AC4BE4DG3EJ3FM3GP3HR5JU6LX7NZ8Pa9SdAVe9Yd9_d8a\ c8cc8dcjOokRmmTknVjr`svezp_sjVkeQc_LWVGOSLVPPaNUgK\ YnIbtFfzDjzJizPhwUgs_gndfjjeeoeaJVqI`vIfzAMa31E29M\ 2GT1N`1Ug1`n0Wr0Rv0Ny1Ir1El29e25_5DY7LW9TUC`TEhRGp\ PIxOLqSOkWRdZUZbXSf_MibFmd9pcHtcPxbXzbdzX`zSXzNTzH\ QzCMz7Iz2Fz9IzFLzLOxaQqrSknVXkXJcbJXhJPmJIsJBxJEvS\ zzzswzmuzcqwUkoGdgCZ`JdaPlaVtaRkeNciJWmJciKkdKs`Jw\ 8HJF2HN5OP8VQA`SDgTFmVItWNliMofLrcLuaKxZZ_KRmRg_ad\ c`af_Zj_WmZTpYQtYNwXNRoMZkLegLlcKs_QFONbT_OqXVmU`j\ SgfPmcMt_ewpbxmcxkzyzzyzzyzzzzzzzmDwmHumMsmQqmGJmS\ MmbOmnRUzmmzcmzmmhOmgMmfLmeKmeJzdzzczzbzzbzzfzzjzz\ nzzrzzmzzvzz7zzHzzQzzZzzhzzqzz6zzIzzTzzdzzozzuzzvz\ zwzzxzzyzzzzz0zz9zzIzzRzz_zzhzzqzzAzz`zzmzzrzzvzzj\ zzlzznzzpzzrzztzzvzzbzzaz } 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 14-11-13 ( [A-7,M-7])
by Jim Muth 14 Nov '13

14 Nov '13

FOTD -- November 14, 2013 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's parent fractal was created by combining straight Z with Z^3. This parent is a strange thing with Y-axis symmetry. It appears as a Mandelbrot set rotated so that the normally west side faces south. The detail on the Y-axis extends far beyond the East Valley, which is on the north side of the M-set, as well as the main spike, which is on the south side. Today's scene lies near the Y-axis in the valley of a curious double open hole well to the north of East Valley. The name "Paradoxical Midget" implies more than the image delivers. There is very little of a paradoxical nature in it other than the bluish square. Both the art and math aspects rate a 7, making the image, with its calculation time of 7 minutes somewhat over-rated. But the web sites exist for situations just like this. To save calculation time, the finished image is or soon will be posted online at: <http://www.crosscanpuzzles.com/Archives.html> with variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A mix of clouds and sun with a high temperature of 50F 10C made today rather pleasant here at Fractal Central. At least the fractal cats thought so. The older cat Nico spent the afternoon waiting for the breaks in the clouds to let the sun through; the young cat Jasmine spent the afternoon trying to decide where the next sunbeam would fall. The humans simply made it through the day uneventfully, which is boring but pleasant. The next FOTD will be posted in 24 hours. Until then, take care, and when a liberal thinking person says we must do something about 'global warming', I usually ask him to be more specific about the 'something' he thinks we should do. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Paradoxical_Midget { ; time=0:07:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.00036373102066293/+1.077171945277434\ /5.772e+009/1/-70/0 params=1/1/1/3/0/0/0/0 float=y maxiter=3000 inside=0 logmap=506 periodicity=6 colors=0000GJ0HK0IL0JM0KN0LO0MP0OQ0RR0US0XT0_U0bV0\ eW0hXBkaLnfWqketppwuzyyurpplhkf`f`TaVLXPDSJ5LF6EC7\ 79806947E78IA9NED`hqFalMVhTOdZH`eBXkEUnHRpKOsNLuQI\ wVNu_SsdSqfSpfSnfSlfSkfSofSswSvwSKwSJwRNwRRrRUmQYh\ QahQdbQfdQYeQPfRGgS7hTBiVFjXIkYMl_PmaTmbWfWT_PRGQB\ FQBERBDRBCSBCSBBTCBUCBUCAVDAWDAWDAXD9XE9YE9ZE8ZF8_\ F8`F8`F7aG7aG7bG6cH6cH6dH6eH5eI5fI5fI4gJ4hJ4hJ4iJ3\ jK3jK3kK3kK5lO7lR9lUBlXCl_ElbGmfImiJmlLmoNmrPmuQmx\ PlwPlwPlwOlwOlwOlwNlwNlwNlwMkvMkvMkvLkvLkvLkvLkvKk\ vKkvKkvJjuTmzPmzMmzJmzGmzDmzAmzFmzJmzNmzRmzUmzUmzU\ kzUlzUpzPuzKyzbwzbjpMzkPhgTPcWKZzDVzMduPeqRflUghWg\ dYh_`iWbjUilSdjR`hQXfPTeOOcNKaMGvK9bLCZLFVLISPOOST\ LVYUYbcagmdlzgqzjvzkszkqzkomkmckkckikimykgsmbmoYgq\ WerVcscbtc`uc_vcYwcawcXwcTwcPwmLwmHwmDwm9pmEimIcmM\ XmQQnUKoYPpAMq9Kr9Hs9Fu9Dw9GzDJzHMzLOzPRzTUzXYzcWz\ `VzZTzXSzUQzSPzQOzOMzPKzQ } 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 13-11-13 (Land of Terraces [A-7.5,M-5])
by Jim Muth 14 Nov '13

14 Nov '13

FOTD -- November 13, 2013 (Rating A-7.5,M-5) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that is generated when straight Z is combined with sqrt(0.5) parts of Z^(4.01) before straight C is added on each iteration. This parent resembles a Mandelbtot set rotated so that its west side faces southeast. Its normally solid East Valley, now on its northwest side, is cleaved into two prominent 'wings' by a large intruding valley. Today's scene lies on the edge of this large valley, which separates the two 'wings'. The name "Land of Terraces" describes what I imagine I see in the image. Others could easily see things entirely different. In an effort to make something of a lackluster image, I rendered the scene with the outside set to 'tdis' and the inside set to 'fmod'. The result raises the art value to an amply adequate 7.5, while the math value remains at a bearable 5. With only slight variations, I borrowed the parameters from an image recently sent to me by Sebastien. The calculation time of 4 minutes is a bit slow, all the more reason to seek the web sites for relief. Check the finished images at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Partly sunny but quite chilly temperatures prevailed here at Fractal Central today. The high of 37F +3C was more typical of mid-December than mid-November. The older fractal cat enjoyed the sun when it was shining, while the younger fractal cat, who does not yet realize that she is a fractal cat, was fascinated by the passing scene outside. During the cat action the fractal humans had an uneventful day. I know that this report is dull. Those who want to read about relationships with more interesting interaction should pick up a romance novel. The next FOTD will be posted in the proper time, which will most likely be sometime tomorrow evening, U.S. Eastern Standard Time. Until then, take care, and thank goodness! I was worried that I might be a sasquatch! Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Land_of_Terraces { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.0185648126917398/+0.0374303039712042\ /1.3e+009/1/-7.5/0 params=1/1/0.707106/4.01/0/0/0/0 float=y maxiter=1500 inside=fmod proximity=0.001 outside=tdis colors=0004ZT4cS3gS2lRGB8EMGELHFKIFJIFIJGGKGVAHj0I\ HSKIRMJQOLPQMOSOMUPLWQKYSJ_TIbVG`SGZOGXKGUGGPDEK9C\ F5A31A33A45558A6AD7KG7UI8cIUmJhzJBzKDvKGmJzcIMZIPZ\ HRYGz_GX`F_bEzdDyUfuUfpTfkTffSfaRfXRfSQfNQfIPfDOgD\ ShEWjF_lGcnHgpIkrKhnNejPbfS_bRcaQh_OlYNqXMuVKzTZjR\ nVPkVNhWLdXJaTJYPJVLJRHJNDKLDOJESGEXEF`BGe7jFFkMOl\ UXm`enhnopfalYOhPAdRGcUMaXS_ZYYacWdjUehSffQhcNiaLj\ _JlXGnaJqgMtmPwsShfXTUaDGfYqO`qScpWfo_ioclngomkslo\ ekpSiqEhr0ftMOqg5ne8jcCeaG`ZKWXORVSMSWHPXMMYRJ_WH`\ ZCacHahMbmOcrQdvSezUfzVgzWhzXizYjz000VczQczcczcczc\ czcczcczYczSczLczEcz7czDczLczUczaczcczcczcczcczccz\ cczcczcczcczcczcczVczLcz000cczWczRczLczFcz9cz3czDc\ zOczZczcczcczcczcczcczcczSczMczNczPczRczSczUczWczY\ czbczcczOcz2cz7czCczHczMczRczQczSczVczYcz`czbczccz\ cczcczcczcczcczcczcczcczcczcczcczRczIczMczQczUczYc\ zbczcczUczIcz6cz6cz5cz5cz } 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 12-11-13 (Cusps of Wonder [A-8,M-5.5])
by Jim Muth 13 Nov '13

13 Nov '13

FOTD -- November 12, 2013 (Rating A-8,M-5.5) Fractal visionaries and enthusiasts: Today's image takes us back to the East Valley of the parent Mandelbrot fractal that results when Z^(2.01) is calculated 1.5 levels up the hyperladder with no function applied. (We very recently checked this same valley.) Since the parent is rotated about 90 degrees, its East Valley, which is shaped like a wedge, is on the west side. Today's image lies at the inner extremity of the chaos shooting inward from this wedge. The name "Cusps of Wonder" refers to the eight cusps surrounding the central minibrot. The artistic rating of an 8 indicates that I am rather satisfied with the gloomy atmosphere of the image. The math rating of 5.5 shows that there is little new stuff in the math. The calculation time of 2 minutes seems appropriate for the scene. faster satisfaction may be enjoyed by checking the web sites however. For complete satisfaction check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> and the variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began with a temperature of 31F -0.5C and light snow, which piled up to an inch (2.5cm) by the time it ended at 7am. But by late morning the sky had cleared and by noon the sun had cleared away the snow. The fractal cats, who are showing signs of becoming the best of friends, watched the snowflakes in the early morning, then took it easy in the afternoon. One fractal human was glad the snow went away by itself; the other shrugged it off. The next FOTD will be posted who knows when. The best bet is 24 hours from now, so until whenever, take care, and the globe is growing warmer, there is no doubt of that. The question is how much warming is due to man's activities. My guess is about 5-percent, but some zealous environmental activists claim that we are responsible for 99-percent of the warming. (If this is true, then I'm a sasquatch.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Cusps_of_Wonder { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.2657826335419736/-0.0005086399793624\ /1.455326e+012/1/-85/0 params=2.01/0/1.5/0 float=y maxiter=1500 inside=0 logmap=208 periodicity=6 mathtolerance=0.05/1 colors=000AFNAFMAFLAFKAFKAFKAFKAFKAFKAFKAFKAFKAFKA\ FKAFKAFKAFKAFKAFKAGKAHJAGIAFHAEGACEA9C50077B9CGBGL\ EKQFQVFMWGP_LNiRKnSHsTFxUGuVJsWMpXPnYSlZVi_Yg`YeaY\ faXg`Wh_Vi_UiUSdPQ`KLXF3TJ4RM5QQ6PnpZejXYcVP`UUXUW\ WOXWQUYBR`CPbDScGUcIWcLYcN`dPbdSddUxbNybSybXzbazbf\ r6oZPwWMrTJmQGhNEdKB_H8VE5QB3MLHCVV3ZaAbgHenNvjByo\ 7vf8tZ8qQ8oI8mA8nhSpjPqkMrlKsmHuoEvpCwq9xr7tsAqtDn\ uFkvIhwKgpLfiMebM_KVVQVQWWLaWGgWFUYFH_F4aLEhROnWXt\ YZqZ`n_bk`chaeebgbci_djYhiLki8gjBcjE_kHWkJSlMOlPKm\ SGmUOfNV`GbV9iP2ZHWO9xNCwMEwLHvKJvJMuJOuSWr`bpiinr\ plzwjkqVYpGcu1mv7mzDcwJUrPUnVWi`Yjf_jkWi5Tg7Qf9NdB\ KcCHaEE`GC_HMTOWMVdFaaBW_8RY5LdWNcPNbIOaBOaJRaQUaX\ XaW_aUbaVemWhkXliYpgZse_ucarhcbmfNrh8wk8so8ps8mw8j\ zFgzLdzSazYmzOmzFmz6mzDmzJmzQmzWmzbmzhmzomzumzWmz7\ fzWfzaWzfLzjSzlZznezplzqmzmnzjozgozdpzaqzZqzWrzSsz\ PtzMxzIizUlz_kzUjzPgzSezU } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

2 1

SunDown
by JackOfTradeZ＠comcast.net 12 Nov '13

12 Nov '13

. Whoa! Just got it. Lemme see what I can do with that ...... (nice colorz) .

1 0

Sundown
by JackOfTradeZ＠comcast.net 12 Nov '13

12 Nov '13

. Your images are fantastic (I have to render them myself, when I click on the GIF link I get another dum web page asking me to sine up or log in). I have also animated the Circle13 and BrotFellIntoAHole images; I rarely get comments or feedback either so I haven't bothered to upload them (yet). Don't take it personally! Stay Cool! BTW - how do you ever arrive at such a large complex FRM file formula? I have no idea what it is doing as I look at the code. .

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FOTD 11-11-13 (Hexadecapus [A-8.5,M-5])
by Jim Muth 11 Nov '13

11 Nov '13

FOTD -- November 11, 2013 (Rating A-7.5,M-5) Fractal visionaries and enthusiasts: Today's image was created by combining 0.5 part of Z^6 with Z^3 and adding straight C on each iteration. The parent fractal is a large boomerang-shaped bay with X-axis symmetry, surrounded by countless smaller holes. Today's scene lies near a hole just inland of the southwest shore line of the large bay. Not surprisingly, the holes radiating from the central minibrot in today's image are shaped almost exactly like the nearby larger hole. Most of the effect was achieved by rendering the scene with the outside set to 'tdis', which creates the terraced effect. The name came about when I had the impression of an octopus with double the number of arms, which could only be called a "Hexadecapus". The art rating of 7.5 reflects the coloring effort I put into the image, with less than ideal results. The math rating of a 5 shows that nothing new and unexpected is revealed in today's FOTD. The calculation time of only 35 seconds is quite fast. Viewing the finished image on the web sites is equally fast. Make life easier by viewing the finished image plus all the unexpected variations on the web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> More clouds than sun prevailed here at Fractal Central today. With little wind, the temperature of 50F 10C felt comfortable enough, though the older fractal cat, Nicholas, would have preferred more sun on the shelf in the southwest window. The fractal humans made it through the day with little happening that was worth remembering. The next FOTD will grace the list in about 24 hours. Until then, take care, and environmentalists want to fight global warming and at the same time eliminate dangerous nuclear power plants. These are worthy goals, but despite the optimistic claims of the dreamers, clean renewable energy can supply only a tiny part of our energy demand. This means that to achieve a cleaner safer environment, people will need to survive with much less energy. I doubt that many would be willing or able to make the necessary sacrifices, such as getting rid of their motor vehicles, living without air- conditioning in warm humid climates, (Swamp coolers would work well enough most of the time in hot dry climates.), and eliminating the energy guzzling internet and mobile phone networks. And, being people who care, we would also want to help the emerging nations raise their standards of living, which means we would need to supply them with the necessary energy. The question is, with fossil and nuclear energy no longer available, and our own energy demand continuing to increase, where would the additional energy to help the underpriviliged but emerging nations come from? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Hexadecapus { ; time=0:00:35.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=-0.067099643139/-0.673907626184/2670399\ /1/92.5/0 params=1/3/0.5/6/0/0/0/0 maxiter=1000 inside=0 outside=tdis periodicity=6 colors=000jzJgsSdk`acicYr_XqXWqTVpQUpNToJSoGRnBmTC\ acDRnEQf00D0CT500B0ORSl6gzeQzhnnQUjzcfzrbb_Z_cbYcf\ zmjTRnRPrSVnT_jTefUobVoZVoVWzRWzNizLvzJpzQjzXdzcZz\ jzz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzczzczzczzczzczzczzczzczzczzczzczzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzBzzCzzDzz\ EzzFzzGzzHzzIzzVzzqzzgzzYzzQzzOzzNzzMzzLzz2zzBzzKz\ zTzzazzjzzyzzufFrjLonRsvWlrWfnW_jWUfWA`ZHbXOcWVeVa\ fUhhToiSuhCujRomUipWcsZ2zlkziZv`MjT2J1AZLQSLeLLuEL\ pKLkQLgVLb`LcROZeLbzJYxIUsIQmIIq4MhIQ_W`KvUSiOZYHf\ LBm9lYMgXKbWIYVGTUEOTCJSACL6FS9HZCJeEMkHOrJQyMSzOT\ zV_zqUwaQzSPuPOlM3x7DnDNdJXVP6`PfLUZSXSZ_LeaEld5uh\ 7sf9rdAqcCpaEn_FmZHlXAMuEZhIkWQiQYhKegEmf8v`3te2si\ 2rm1qq1pt3ow4oz6nz7mz9mzA } 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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Re: [Fractint] blah blah blah
by James R McKenzie 11 Nov '13

11 Nov '13

Thank You! -----Original Message----- From: JackOfTradeZ(a)comcast.net Sent: Nov 10, 2013 9:42 PM To: fractint(a)mailman.xmission.com Subject: [Fractint] blah blah blah . What is with this "dropbox" thing? Can't you just post the images directly on your server like I do? I am tired of "signing up" for all these things and having to remember login PW, give away more personal info, etc! It ain't worth it anymore! Hellwiddit! .

3 3

Sundown
by Albrechtx 11 Nov '13

11 Nov '13

HI, as no reply to my request, I take it that there´s almost no interest anymore in my images. So here´s one more, which definetely is the last one. "Sundown" came into being almost by itself today, more a good picture then a fractal. Rest in Peace : https://www.dropbox.com/s/01jmxg5pa525ath/67125V4.GIF : Albrecht : =============================start parameterfile=========================== 67125-v4 { ; Sundown ; Time 00.24.59.86 1280/1024 ; Phoenix-Newton-Secant-Mandel-Mmods reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sqr/exp/exp/sin passes=t center-mag=0.138892/1.66533e-015/0.6712645/1/90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/67125.04595751115/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/128.200768100\ 1/256.2007682001/512.2007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000kka<3>usixukzwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<\ 6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f\ 0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l\ <2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D\ 36F5<15>ii_ }

2 1

blah blah blah
by JackOfTradeZ＠comcast.net 11 Nov '13

11 Nov '13

. What is with this "dropbox" thing? Can't you just post the images directly on your server like I do? I am tired of "signing up" for all these things and having to remember login PW, give away more personal info, etc! It ain't worth it anymore! Hellwiddit! .

1 0

FOTD 10-11-13 (Anti-Credulity [A-8.5,M-5])
by Jim Muth 10 Nov '13

10 Nov '13

FOTD -- November 10, 2013 (Rating A-8.5,M-5) Fractal visionaries and enthusiasts: Today's image combines Z^3 with 0.333 parts of Z^5 before adding straight C on each iteration. This expression produces a parent fractal that begins as the main bay of a Mandelbrot set that has been rotated 90 degrees so that its normally west end faces north. I say it begins as an M-set because only the main bay is close to appearing normal. This main bay, at the southern extremity of the parent, is reasonably normal, but starting with the main period-2 bud, the fractal loses its M-set characteristics and an ever larger series of bays takes over, becoming ever stranger the farther north we go. Today's scene lies at the entrance to a minor cove on the northeast shore line of the farthest north bay, which is the largest and strangest of all. The image is most notable for its coloring, which is almost totally of my own design and earns me, (at least IMO), a bonus of 1.5 points, raising the total rating to a quite honorable 8.5 The math however is a straightforward combination of two simple exponents of Z, which holds its rating to an average 5. The name "Anti-Credulity" is a synonym for skepticism. It is what I would have felt if someone had told me of fractals in the 1960's, when I was very much alive, cranky and complaining about the world's situation. And now that I'm a septuagenarian, with all the implied benefits, I have become even crankier. Fortunately, the calculation time of only 1-1/4 minutes will keep my grouchiness from spreading, and if a bit of it does leak out, the web sites will make quick work of it. To promote anti-grouchiness, the image has already been calculated and posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Mostly cloudy, blustery but not too chilly conditions prevailed here at Fractal Central most all day, with a temperature of 52F 11C. The fractal cats had an active day, chasing each other up and down the hallway until Nico grew bored and told Jasmine to slow down. The humans, meanwhile, had an average day. The next FOTD will be posted in 24 hours. Until then, take care, and the most dependable sign of the truth of an offensive opinion is when it becomes politically incorrect to speak it in public. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Anti-Credulity { ; time=0:01:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=t center-mag=+0.4507420885190281/+0.3803351141657886/\ 1.52e+008/1/-15/0 params=1/3/0.333/5/0/0/0/0 float=y maxiter=1500 inside=0 logmap=78 periodicity=6 colors=00009R08Q07O06M05K04H03E02B018005ezzZrzShzL\ ZmEPc7KUz45v34s34p34l33i23f23b23_22X22U12R12O11K11\ H11E01A00700300wk9sh8oe7kb7h_6TfmXdn`boe`piZpmXqrV\ rvTszRsr3ktFcuQWvaOwlHtiGrgFoeEmcEjaDh_CeYC440cWB`\ UAZS9WQ9UO8RM7PK7MI6KG5HE4FC4CA3A82762541220TPlECO\ mRKiPIeNHbLFZJEWHCSFBPDALB8H97E75A54732311ltmOSPXn\ dVkaTh_ReYQcWO`UMYSKWPJTNHQLFOJDLHCIFAGC8DA6c85c63\ c41c23cS2cI1c9iHzgGweFtcEqaEo_DlYCiWBfUBdcAac9Zc8W\ c8Uc7Rc6Om5Lm5Jm4Gm3Dm2Am28m15m02cTAcQ9cN8cL7cI6cF\ 5mD4mA3m72m51m20UZHUXGUWFUUEUTEURDUQCcOCcNBcLAcK9c\ I9cH8cG7cE7cD6cB5cA4m84m73m52m42m21cU0UU2ZU1cU1hU1\ mU1rc1wc0zc0zc0zc0zc0zcAzc5zcHzcGrmFmmEhmDbmC`zCYz\ BWzATz9Rz8Oz8Mz7Jz6Hz5Ez4Cz49z37z24z12z0dzS`zPYzNU\ zLRzINzGKzEHzBDz9Az76z43z2CzF9zB6z73z3_zuUzlPzdKzX\ FzOAzG5z8dzIbzH`zGZzFXzEVzDTzDRzCQzBOzAMz9Kz9Iz8Gz\ 7Ez6Dz5Bz49z47z35z23z11z0 } 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=========================================

1 0

Arrival
by Albrechtx 09 Nov '13

09 Nov '13

HI, this is another remedy against fractal boredom: "Arrival", being the last one in this series. It is also the last one from me for several weeks. In order to decde if I should go on after my return it would be nice to receive some comment about my images and mixing them with music. Thanks :: https://www.dropbox.com/s/6r7lea7cuiml5ly/51765Z38.GIF : Albrecht ==================================start parameterfile========================= 51765z38 { ; Arrival ; Time 00.05.06.10 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sqr/exp/exp/sin passes=t center-mag=-2279.56720645526600000/-101.10360038876290000/1597556/1/17.5\ 000032272852941/-6.09518835084643662e-006 params=-0.05825983458967864/0.3785210730307932/51765.03595750222/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/128.100768300\ 1/256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000v0J<5>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<\ 2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D3\ 6F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<6>2\ 20220220<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<10>i0D\ l0Fp0Gs0Iw0Jz0K }

1 0

FOTD 08-11-13 (Sirene Train [A-7,M-5])
by Jim Muth 08 Nov '13

08 Nov '13

FOTD -- November 08, 2013 (Rating A-7,M-5) Fractal visionaries and enthusiasts: In today's image we return to the same parent fractal that gave us the two most recent images, where we check the area of the main stem around the large minibrot, which has split into fractal chaos. The chaos in this area is quite pronounced yet filled with smaller minibrots surrounded by a reasonable degree of order. Today's image shows the surroundings of one of these minibrots. The name "Sirene Train" has little connection with the image, but it does invoke a mythological feeling, much like the not-quite-real feeling associated with fractals. I added the extra 'e' at the end of 'siren' to increase the impression of fantasy. The artistic worth of a 7 is merely average, while the math worth of a 5 suffers because of overuse. The calculation time of 2 minutes will pass quickly enough, but there is still the inconvenience of doing the calculation. Enjoy the image without the inconvenience of calculating it by checking the finished product at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Chilly, blustery conditions prevailed here at Fractal Central today, with dark lumpy clouds racing across the sky and a temperature around 46F +8C. The fractal cats, who are becoming more used to each other every day but still have to learn to share the window shelf, spent the day taking turns watching the outside world go by. The fractal humans kept themselves busy enough doing human things. The next FOTD will probably not appear until Nov 10, so until then, take care, and how much land would we need to cover with environmentally-destructive solar panels and bird-killing wind generators to supply the total energy demand of the emerging world? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Sirene_Train { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+1.736223455281264/+0.03863814240540929\ /1.584101e+012/1/90/0 params=2.01/0/1.5/0 float=y maxiter=1800 inside=0 logmap=230 periodicity=6 mathtolerance=0.05/1 colors=000KEZ9AjBEi7Eo4Gj6Hb8AQ32893DF4HL5LR6PX7Tb\ 8Xh9`p3bm9dkEfhKhfPjdUla_n_dpFrzYirucqp`jkYdfWYaTS\ XQL`NBSOFEICJOJNTQRYXWcc_hjcmqgrxalnXfeR`WMVNGPDBK\ 47`E3pOJjIYdD`kBcqAgiKjbU4c34U25G2AO2DMAKQHRXOZcWe\ jblqizzznszojafcVaYNYRGUL9RIEOGJLEOJCTG9YD7bA5g83l\ I5iS7f`8cjA`sBZhOeY_lNlsDxyEpwEhuE`sFTqFLoFDnKQhPb\ cTnZUhbVbfWXj__lcanfcojeqmgrlilljgkkaklXjmRjnMlnLn\ nJqnHsnGunEwnDplJjjOdhTZgYTebNcgHblJ`eL_ZNZSPYLRXE\ bSXmNn`YYOhHBs1Eu6HvBKxGNyLPzPRxSSwUUvXVuZWtaYscZr\ f_qhZliZhjYdjY`kXXlXTlWPmWLmUHlSEkRAkP7jO4jVDiaMhh\ VhocgukgkgibckT_mKWoBSpEXhHa`KfUNjMQoFTt7Vx0JzSPwK\ VtC`q5apCbpJboPcoWdobdnhenoenuZksSirLfqEdp7ao0_nDU\ hPPb`JXlERx9LpNDh`5haChaJhaQhaXhachajhaqjejlhdnlYo\ oSqsLsvFty9qsGomMmgSjaYhWcfQi_VdT__NcWGhR9mM3qI5sE\ 7uB8v7Ax4By1Dw5Ev9GtDHsGJqKKpOLoRWd_eVhoLpic8njAsq\ CxwDuxGsxI1X52U42R43P33M3 } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

The Hierarchy of Relevance
by Albrechtx 08 Nov '13

08 Nov '13

HI, today is one of those days. And if that is so, it´s wrong to stop it. I think you´ll agree. So here´s the next one: The Hierarchy of Relevance. I borrowed the title from a video I deeply love. Including the link maybe you share my judgement. It will be valid only for two days: https://www.dropbox.com/s/ld3o8fvwjww9u7v/Richard%20T.%20Walker%20-%20The%2… The image is another one of those remedies against fractal boredom. https://www.dropbox.com/s/euuuon85ng10ixb/51765Z21.GIF : Albrecht : ========================Start Parameterfile================================ 51765z21 { ; The Hierarchy of Relevance ; From a video by Richard T.Walker ; Time 00.47.11.52 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sqr/exp/exp/sin passes=t center-mag=-2279.56728240715800000/-101.10345894473150000/22077.01/1/-54\ .9999997784468135/-3.29130044662839794e-007 params=-0.05825983458967864/0.3785210730307932/51765.03595750222/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/128.100768300\ 1/256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000b0F<4>J0AE09A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<\ 4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16\ >kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<6>2202202\ 20<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<\ 3>z0K<4>f0G }

1 0

Mandel in a Spaceshipp
by Albrechtx 08 Nov '13

08 Nov '13

HI, I´m already back again because the first zoom found after 5min is absolutely apectacular. A good remedy against fractal boredom if I may say so. The title: "Mandel in a spaceship" just had to be chosen because the impression of looking at spaceship windows from inside cannot be avoided. Or can it? : https://www.dropbox.com/s/ut627xuiteaevil/51765Z14.GIF : ========================Start Parameterfile================ 51765z14 { ; Mandel in a Spaceship ; Time 00.03.30.36 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sqr/exp/exp/sin passes=t center-mag=-2279.86056895874200000/-100.89705812020270000/25076.74/1/-54\ .9999999820228354/2.15379533582971128e-008 params=-0.05825983458967864/0.3785210730307932/51765.03595750222/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/128.100768300\ 1/256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000T00<3>`00<3>K_0Gh0Bq07z0<3>OR0TI0X90`00<3>O00K00H00<2>700070<3\ >0G60I70L9<3>0UF<3>WiTcmWkq_svc<3>OePGaM8YI0UF<3>0CA089048007<3>3CS3FX4I\ b<2>6Rq7Uw6Wp<3>2cR1eL0hF<3>3``4Zf5Xk6Wq7Uw<3>5Oa4NW3LR<3>1G50F0000070<5\ >0I00K00M0<3>0U0<3>GNSKLZPKe<2>`Fz000900<3>K00N00P00S00V00<3>M00K00I00<3\ >900YYS<4>kjamlcpoe<3>zyn<6>jmNhkJfjFchB<2>Zc0<6>NlRLmVJnZ<2>ErjDsnDqk<5\ >D`_DYYDVV<2>DMPDKNF00<5>Q00S00U00<3>`00<4>V96TB7SC8<3>NKD<5>`VMcXNeZP<3\ >nfUqgVsiX<2>zo`<6>gbRd`QaZO<3>SSJPQI000000000F00<5>R00 }

2 1

Land of Wonders
by Albrechtx 08 Nov '13

08 Nov '13

HI, really haven´t planned it that way. Just did a zoom in a maybe interesting spot and there it was: "The Land of Wonders". I didn´t search for the title it came by itself. And in the middle the "Holy Grail" of fractals, the triple mandel sitting on an altar. If there still is any doubt: The best images can be found anywhere near of it. Jim knows that since many years. Sometimes I forget as there are so many other possibilities in my plugin -that´s the correct name- and then I recall. The last images were zooms into "Protection against Fractal Boredom", so the title Was the corrrect one! : https://www.dropbox.com/s/4ks50t9vveizdng/51765Z19.GIF : Albrecht ============Start Parameterfile============================================ 51765z19 { ; Land of Wonders ; No other title possible ; Time 00.31.54.81 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sqr/exp/exp/sin passes=t center-mag=-2279.56421100339500000/-101.10564602833010000/133.2682/1/-55\ .0000000064539023/8.41719840355414917e-009 params=-0.05825983458967864/0.3785210730307932/51765.03595750222/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/128.100768300\ 1/256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000b0F<4>J0AE09A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<\ 4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16\ >kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<6>2202202\ 20<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<\ 3>z0K<4>f0G }

1 0

Unexpected triple mandel
by Albrechtx 08 Nov '13

08 Nov '13

HI, this is not my territory but it´s always a surprise if a mandel turns up which should not be there. And if you look closely there are three of them with a common center. That promises surprises on zooming. : https://www.dropbox.com/s/lkchd3u8s3h003b/51765Z13.GIF : =============================Start Parameterfile================ 51765z13 { ; Unexpected Mandel ; Time 00.01.59.30 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sqr/exp/exp/sin passes=t center-mag=-2279.85973121476700000/-100.89781218851800000/125.3837/1/-54\ .9999999996800426/-3.97056554302110953e-011 params=-0.05825983458967864/0.3785210730307932/51765.03595750222/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/128.100768300\ 1/256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000T00<3>`00<3>K_0Gh0Bq07z0<3>OR0TI0X90`00<3>O00K00H00<2>700070<3\ >0G60I70L9<3>0UF<3>WiTcmWkq_svc<3>OePGaM8YI0UF<3>0CA089048007<3>3CS3FX4I\ b<2>6Rq7Uw6Wp<3>2cR1eL0hF<3>3``4Zf5Xk6Wq7Uw<4>4NW3LR2KL<3>0F0000070<5>0I\ 00K00M0<3>0U0<3>GNSKLZPKe<2>`Fz000900<3>K00N00P00S00V00<3>M00K00I00<3>90\ 0YYS<4>kjamlcpoe<3>zyn<6>jmNhkJfjFchB<2>Zc0<6>NlRLmVJnZ<2>ErjDsnDqk<5>D`\ _DYYDVV<2>DMPDKNF00<5>Q00S00U00<3>`00<4>V96TB7SC8<3>NKD<10>ldTnfUqgV<3>z\ o`<7>d`QaZOZXN<3>PQI000000000F00<5>R00 } `

1 0

FOTD 07-11-13 (East Side Story [A-7,M-6])
by Jim Muth 07 Nov '13

07 Nov '13

FOTD -- November 07, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: The parent fractal of today's image is the same one that gave us yesterday's image, though today, instead of checking the west end of the parent, which is its East Valley, we check the east end, where the main spike lies. The chaos in this area is more chaotic than on the west side of the parent. It is so bad in fact that it creates a muddy effect that holds the artistic worth down to an unexceptional 7. The math worth drops to a 6, since today's math trick is the same as yesterday's. The name "East Side Story" implies no tragic love story. It simply points to the location of the image in its parent fractal. The calculation time of 1-1/4 minutes will pass so quickly that it will hardly be noticed. Satisfaction that is even faster may be found on the web sites. Check the finished image and the variations on the web at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began with rain here at Fractal Central, but the rain ended by noon, leading to a cloudy afternoon with a brisk north wind and a falling temperature, which had reached 48F +9C by post time. The new fractal cat spent the afternoon at the doctor's office, getting her check-up and shots. She passed with flying colors, except for an infection of ear mites, which we are treating. The old fractal cat spent the afternoon enjoying the peaceful break from the new kitten. The next FOTD will be posted in the near future. The near future usually means tomorrow. One can never be sure of these things however, so no promise is given. Until whenever, take care, and according to science, the evidence of our senses is the most reliable form of verification. Science also tells that our senses are sometimes subject to illusion. But science does not tell how to reliably separate the real sensory input from the illusory. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= East_Side_Story { ; time=0:01:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+1.397025538668458/+0.029933323568185/\ 1.4495e+008/1/-28.75/0 params=2.01/0/1.5/0 float=y maxiter=1800 inside=0 logmap=155 periodicity=6 colors=00000200300400500600700800900A00B10C20D21E4\ 2F03G42H42I32J21K21S10b40mFAzE8vD7rC6mB6hA6c96Z85U\ 75P54K43F22A115K00K00K00K00K00K00K00K00K00K00K00K0\ 0A00A00A000000000006MH6QJ5VL4_N3dP3jR2oTArVKvXUzcc\ zUmzcszmzzzzzzT_q78E67E67E56D67E68E68F79F7AG7AG8BH\ 8BH8CI8DI9DJ9EJ9EKAFKAGKAGLBHLBIMBIMBJNCJNCKOCLODL\ PDMPDMQENQEOQEOREPRFPSFQSFRTGRTGSUGTUHTVHUVHUWHVWI\ WWIWXIXXJXYJYYJZZKZZK__K__K``La`LaaLbaMcaMcbMdbNdc\ NecNfdNfdOgeOgeOhfPifPigPjgJmmMkjPjgRidUhaWgZZeWad\ TccQfbNhaKk_HnZEpYBsX8tS2uU3uV4uW5uX6uY6uZ7v_8va9v\ b9vcAvdBveCwfCwgDwhEwjFwkGwlGxmHxnIxocxpcxrcxzmzzm\ zzzzzzzzzzcmzcczcUzcKzZFzZFzZFzZFzZczZczZczZczZczc\ czcczcczcczcczcczcczcczcczcczcczcKzcNzcRzcUzcXzcIz\ cIzcIzcIzhHzhHzhHzhGzhGzhGzhGzmFzmFzmFzmFzmEzmEzmE\ zmEzrDzrDzrDzrDzrCzrCzrCzrCzzBzzBzzBzzBzzAzzAzzAzz\ Azz9zz9zz9zz6zz7zz8zz9zz9 } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

Protection against Fractal Boredom
by Albrechtx 07 Nov '13

07 Nov '13

HI, I know this is provocative, but sometimes you have to be. And this IS an Eyecatcher! : https://www.dropbox.com/s/iwmuhyt10biv65s/51765Z6.GIF : Albrecht : ==============================Start Parameterfile=========== 51765z6 { ; Protection against Fractal Boredom ; Deep zoom into an outside region ; Time 00.18.32.13 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sqr/exp/exp/sin passes=t center-mag=-2280.7/-100.614/0.1960693/1/-55.0000000000025935/2.888328465\ 28919163e-012 params=-0.05825983458967864/0.3785210730307932/51765.03595750222/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/128.100768300\ 1/256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000LOr<3>_5fc0ce7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb\ 8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz\ 5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5\ _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3\ >u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3\ >FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8J\ P8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>U\ nXRm_NlcJkgFfpAazEXwITu }

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Harvest Song
by Albrechtx 07 Nov '13

07 Nov '13

Due to a Dropbox error the link has changed as follows: https://www.dropbox.com/sh/t348r6dnf551qsv/ZgB1FoOgGy sry Albrecht

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Harvet Song
by Albrechtx 07 Nov '13

07 Nov '13

HI, today I present a new MP3 title and although I scratched the "Holy Grale" of Fractal Music, that´s what it is and maybe you´ll like it: "Harvest Song", appropriate to the weather outside. : A word about the "Fractal Rhythm". It´s my baby and babies must have a name. but it consists of fractal elements: 1.The rhythm is split into the smallest possible parts. One voice alone, for example the left hand of the central piano, has about 150 of them. 2.One part alone, 1/16triplet in my music, is powerful enough to destroy or create the complete character of the music. 3.There are 10 voices, all shift in relation to each other, so the variations literally are infinite as also the notes and their articulation change. : As stated before: Even after -theoretically- days of playing you will not hear the same variation again. The set is 3 bothhanded pianos plus drums and bass. The link contains the mp3, BMP image and IFS. : https://www.dropbox.com/sh/80vifwish74bxbq/KG2WFTTw5g : Albrecht

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FOTD 06-11-13 (The Shadow Arises [A-8.5,M-7])
by Jim Muth 06 Nov '13

06 Nov '13

FOTD -- November 06, 2013 (Rating A-8.5,M-7) Fractal visionaries and enthusiasts: Today's stellar but slightly ominous image lies in the East Valley of the parent fractal that comes about when the expression Z^(2.01)+C is iterated 1.5 levels up the complex logarithmic hyperladder with no function applied. At this not-very-impressive height the parent resembles a Mandelbrot set rotated almost 180 degrees so that East Valley falls close to the negative X-axis, and its beat-up main bud and main spike lie near the positive X-axis. In today's parent, East Valley has been broadened into a wedge, with fractal debris scattered along the sharp northern edge of this wedge. Today's image lies in this debris. I'll check the beat-up main bud and spike in a future FOTD. Strangely, there is very little in the image to reveal that it lies in an East Valley. Instead, we see finely-divided arcs and crescents surrounding the central minibrot. I rated the art worth at a superior 8.5, mostly because of my coloring, most of which was created randomly by the Fractint program. I rated the math interest at a 7, which might be a bit liberal for a math trick ten years old. The name "The Shadow Arises" does not imply the return of that old radio character who could make himself invisible. It refers to the unusually shadowy appearance of the dark green elements surrounding the minibrot. The calculation time of 1-1/5 minutes is reasonably fast, but a trip to one of the web sites will make the brief wait even briefer. The finished image is available at: <http://www.crosscanpuzzles.com/Archives.html> with clever variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A little sun, lots of clouds and a high temperature of 61F 16C brought rather pleasant conditions to Fractal Central today. The fractal cats had a quiet day except for the time Jasmine sneaked up on Nico and took a swipe at his tail. In return, he took a harmless swipe at her to warn her away. The fractal humans had a near average day. The next FOTD will be posted within a certain time. To find out how certain, check back at regular intervals. Until whenever, take care, and if it can be scientifically demonstrated to be a fact, it might even be true. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Shadow_Arises { ; time=0:01:12.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=-0.261378641122/-0.001444041117/\ 1.593933e+007/1/161/0 params=2.01/0/1.5/0 float=y maxiter=1500 inside=0 logmap=165 periodicity=6 colors=00045H5Gg65_70f85Y95RA5TB5VC5XD5ZE5`F5bG5dH\ 5fH3hL7eP7cT7`X7Z`6Vc6Sg6Ok6Lo5Hs5EA5zA5wA6t98qBAn\ DClFEjHGhJIfKKdHIkHMpQTpSVrUYrVZzXZzZZz`ZzbZzd_ze`\ zgawibrkcmmdhnecogZpiUqkPrmKsoFtqAus5vu2KG2LE1IA1F\ 61C30900700801931642752573B83BA4CB4CE5DH5DK6EN6FQ7\ FS7GT8GV8HX9HZ9I`AIbAJdBJeBMbHO_NQXTSUZURd2AGSPaRO\ _PMzOLzMKULISJHQIGO03923303610000E08C0BG1584463241\ 12_WUWSRSPOPMLLJIIGFECCA99766333UGyMCiF8V74FKnzIkz\ HhzGezFbzE_zCXzBUvARr9Om8Lh7Ic5FZ4CU39P26K13FD8gC7\ dB7bA6`A6Y95W85U85R74P64N63K53I42G42D32B2192161040\ 02JFXHDUGCREBPDAMB9KA8H86F75C54A437225112YQnWOkUNh\ SLeQKbOI_MHYKFVIESHDPFBMDAJB8H97E75B548325112prJmo\ IjlHhjGegFcdE`bDZ_CWYBUVARS9PQ9MN8KK7HI6FF5CD4AA37\ 72551220zwYztWzqUznTzkRshPmeOzmMzmLzmJzmHzmGzhEzcC\ zcBzc9zc8zZ6zU4zP3zK1zFIzAGzAFz9Ez9Dz8Cz7Bz6Az69z5\ 7z46z35z34z23z12zqLzqKzqK } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Unknown Flying Object
by Albrechtx 06 Nov '13

06 Nov '13

HI, this is the fourth one in my series of special images.After the foreign object here is another zoom into the same image: : Unknown FLying Object. : https://www.dropbox.com/s/rr4dpbacofp1xi3/51765Z3.GIF : Albrecht ==========================start Parameter File============================= 51765z3 { ; Unknown Flying Object ; mmods-secant-newton-phoenix-mmods ; Time 00.15.59.66 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sqr/exp/exp/sin passes=t center-mag=-0.00002533315382043/-0.57540683382179570/312.4467/1/180 params=-0.05825983458967864/0.3785210730307932/51765.03595750222/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/128.100768300\ 1/256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000LOr<3>_5fc0ce7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb\ 8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz\ 5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5\ _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3\ >u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3\ >FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8J\ P8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>U\ nXRm_NlcJkgFfpAazEXwITu }

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Unknown Foreign Object
by Albrechtx 06 Nov '13

06 Nov '13

HI, this is the third one in my series of special images and maybe it is the most spectacular of them, hence the name: Unknown Foreign Object.. : https://www.dropbox.com/s/nyrjs68xd5mhvos/51765Z2.GIF : Albrecht ==========================start Parameter File============================= 51765z2 { ; Unknown Foreign Object ; mmods-secant-newton-phoenix-mmods ; Time 00.23.46.36 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sqr/exp/exp/sin passes=t center-mag=-0.00042571418466689/-0.61520247742588240/114.8701 params=-0.05825983458967864/0.3785210730307932/51765.03595750222/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/128.100768300\ 1/256.1007683001/512.1007683001 float=y maxiter=3072 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000LOr<3>_5fc0ce7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb\ 8<3>LQ8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz\ 5zz4zz3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5\ _<3>f5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3\ >u1mt1ns1or2q<2>v2u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3\ >FcgHciJbl<3>S_v<3>civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8J\ P8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>U\ nXRm_NlcJkgFfpAazEXwITu }

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FOTD for 11/3/13
by Brian Prentice 06 Nov '13

06 Nov '13

The parent of Jim's fractal for 11/3/13 is rendered here: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_52.png and five beautiful details are here: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_52a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_52b.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_52c.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_52d.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_52e.png Brian Prentice

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50505o1 by Albrechtx
by JackOfTradeZ＠comcast.net 06 Nov '13

06 Nov '13

. It's been decades for me, but I must say some of this stuff looks like serious tripping ........ Do you see a big fat psychedelic budda sitting in a little cave with menacing eyes and evil grin? I rendered it at 1400 res, passes=1 for detail http://www.fractal-animation.net/1400.gif I am investigating a zoom-in animation now. Also, the zoom-in to the "Circle13" posted recently is done. Strange - the patterns get SIMPLER as you dive in, and render FASTER! I went to E+18. I don't think I'll post it as it is somewhat repetative and boring, aside from the technical intrigue. Cheers JoTz .

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50205o1
by Albrechtx 05 Nov '13

05 Nov '13

HI, a special one again today, no comments needed. : https://www.dropbox.com/s/tyhf716iwsecm5j/50205o1.GIF : Albrecht: : ======================start parameter file========== 50505o1 { ; Brot fell into a hole ; mmods-zero-mandel-zero-mmod2 ; Time 00.02.33.41 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.78262448569337620/+0.00000000000000014/86.96717/1/-90/3.88\ 578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/50205.64595767025/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000txzrwzovz<3>NglGch8_d<3>8NS8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<1\ 2>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc\ 0ce7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H\ 44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<\ 3>zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<\ 3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<\ 3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>c\ ivflvinvlqvotvsww<2>zzzxyzvyz }

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FOTD 04-11-13 (Christmas is Coming [A-7,M-7])
by Jim Muth 04 Nov '13

04 Nov '13

FOTD -- November 04, 2013 (Rating A-7,M-7) Fractal visionaries and enthusiasts: To create today's parent fractal I combined 1.75 negative parts of Z^(-4.5) with 3 negative parts of Z^(-1.75) and added (1/C) on each iteration. Calculating with the reciprocal of C usually turns the fractal inside-out, so that the negative exponents of Z create a lake rather than an island. In today's case however the parent does not follow the rules, and appears as a butterfly- shaped island with large black spots on its wing tips. These black spots are actually bays, and today's image lies deep in the northern valley of the northern bay. My extra coloring effort raised the original humdrum rating of a 5 to a respectable 7. The math rating of a 7 is based on the unusual doubly inside-out parent butterfly fractal. The name "Christmas is Coming" is a statement of fact that can be verified by a glance at the calendar. I chose the name because I felt a strong seasonal mood in the color scheme. The calculation time of 2-1/3 minutes is not too bad, but it is not all that great either. Fear not. The web sites are always close at hand. Relief from time distress may be found at the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> where the finished image is posted. Classier variations are available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began clear and calm, with a chilly temperature of 23F -5C, and progressed through a sunny morning and partly-cloudy afternoon, with a high temperature of 43F +6C. The older fractal cat, Nicholas, spent most of the time sleeping in my favorite chair, while the young kitten, Jasmine, who has almost recovered from her sprained arm, spent the time alternating between sleeping and playing with her catnip mouse. The humans passed the day doing what humans usually do, though I'm not sure average humans spend as much time on fractals as I do. The next FOTD will most likely be posted in 24 hours. If not, it will appear in 48 hours. Until next time, take care, and I will once again place my full faith in science when it can give a reasonably satisfactory reply to the question of why we exist. The usual scientific reply is to claim that the question is meaningless or to refer the questioner to the answers given by religion, even while hypocritically implying that religious belief is only a comforting superstition with no reality behind it. . . . ("We do not invent the things we say," the erudite scientists loudly proclaim, "we only pass on what we find to be true.") Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= ChristmasIsComing { ; time=0:02:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=-1.725757937691/+1.963888438529/1.04341\ 5e+007/1/20/0 params=-1.75/-4.5/-3/-1.75/0/0/0/0 maxiter=3000 inside=0 logmap=331 periodicity=6 colors=000L0OK0NJ0MI0LH0KG0JF0IE0HD0GC0EB0CA099068\ 03700302200100000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 0880880770660660550440440330330220110110000p`tlYph\ WleThaRdZOaVMYSJUOHQLEMHCJE9FA7B747323QKfPJeOJdOIc\ NIbMHaMH`LG_LGZKFYJFXJEWIEVzzzzzzzzzzzzzzzzzzzuxzs\ wzqpzoizm`zkTzpKzgIzoHzXGzjFzQFzgFzHFzbFrAMwWSk0Oq\ SL_AIiLEP4Ba28404W00900R40S20U0EV06Z05b05fh4je4nb3\ r_3uX3qcEmiOipZfvh_iYTXNMKCG82C6D94O62Z30h44d47`5B\ Y5EU6HQ6LN7OJ7RG8gF8wF7tN7rU6o`6mg5jn5hu4kk4na3qS3\ sIBfSIUaPHjKKZGNNC_CBYCAaCA`C9mC8_C8QC7QC6QC6QC5QC\ 4QC4QC3QC3QC2OB2NAORA1C02L92K92J82I84G76F78E6AD6VC\ 5EB5GA4I94K73M63O52Q42S31U21W10Y6S_5Ra5Qc5Qe5Pg5Pi\ 5Ok5Nm5No4Mq4Mr6Ls8Lt9KuAJvCJwDIxDIyDHzDGzEGzGFzIF\ zKEzMEzODzQCzSCzUBzVBzWAzX9zY9zZ8z_8z`7za7zb6zc5zd\ 5ze4zf4zg3zh2zi2zj1zk1zm0 } 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 03-11-13 (Dolphin Circle [A-6,M-5])
by Jim Muth 04 Nov '13

04 Nov '13

FOTD -- November 03, 2013 (Rating A-6,M-5) Fractal visionaries and enthusiasts: Today's image shows a minibrot in the parent fractal that results when Z^(1.75) is iterated 2 levels up the hyperladder with no function applied. This parent rather resembles a termite half rolled onto its back, with its head facing northwest and a large but isolated minibrot lying just southeast of its tail. Today's scene lies a short distance to the northwest of this isolated minibrot. The name "Dolphin Circle" refers to the brilliant elements arcing around the northeastern perimeter of the central minibrot, which struck me as dolphins with their flukes spread. Since the image was found quickly and I put little effort into the coloring, I could rate the art no higher than a 6. The math worth remains a 5. The calculation time of 1-1/2 minutes is fast enough for all but the most impatient fractalists, who may choose to view the finished image on the web sites. The pre-rendered image is online at: <http://www.crosscanpuzzles.com/Archives.html> and variations are posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Near total sun prevailed here at Fractal Central today, but the temperature of 48F +9C kept a chill in the air. The fractal cats took it easy most all day, Nico in the sun on his shelf, Jasmine nursing the leg she sprained when she took too great a leap from a high place. The humans meanwhile passed the day getting the house moderately ready for a winter that the experts say will be on the mild side. Hopefully the experts are right. The next FOTD will be posted in the appropriate time. Until whenever that might be, take care, and it's impossible for aliens to be visiting earth from another star system. The distances are too great and the speed of light is an absolute limit to travel through space. Unfortunately, the aliens have not heard the bad news. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Dolphin_Circle { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+1.09970158016/-0.558234463344/1571291 params=1.75/0/2/0 float=y maxiter=3500 inside=0 logmap=95 periodicity=6 mathtolerance=0.05/1 colors=000SVUVD4`VLmncfka_h`TeZMbYMSRIWUF_XCc_Cyz9\ fa6PS44K37I3AG3CE3FC3HA3F80J06HF9HOCEWFCdH8nIAlIBk\ I0iD0h83PE0dIHeMMeQReTWeX`e`eedjeit`hqcgoehphmzzfn\ jO_WQYXRWXTUYOIYUTY8NfXid_cYcYSUSLKPFUG8ZKJUB2_I3G\ J3MP3RU3W_3`d3kr3zz6zn3lkCngKpcTr_`zSisXhlageffZke\ SpdLucFzbHtcmncmhcmbcmXcmRcmLcm8kmzzmcWmcUmcOXXIfb\ Coh6dgBVgGKfLHbeDdYAfQ2bQ5eM7gJ9jF9k8BlCDmFFnIHoLJ\ pPLqSNrVOySPvVPsYQp_QnbRkeRhgSejSclT`3zpAymHrmUmmg\ kmejmdhmcgmaem`dm_cmZam``maZmbYmdWmeVmf6mjImhUmgem\ exxhpxdhx`axXmzTmzPmzLmzHhmMhmQhmVhmZMmcPmZGmcJmdL\ mdUmdcfemgeuYczudzgezolzmhzlemkbmjZmmWmtcmmYmmTmmO\ mmJmmEmmPmmamm_mmYmmfmmWmmLmm3mmBmmJmmRmmZmmfmmnmm\ vmmZzzBzzCzzDzzEzzFzzGzzHzzIzmGmqCmmJmmZmmUmmPmmLm\ mGmmCmmDmm4mmDmmLmmTmm`mmgmmhmzhmzhmzhmzhmzhmzfmzh\ mzimzjmzkmzlmzkmzmmznmzomzqezrezseztdzqdzndzkazocz\ ldzifzggzdhzajz_kzXlzVUzU } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Mandelflower
by Albrechtx 02 Nov '13

02 Nov '13

HI, only one image today, but... : https://www.dropbox.com/s/cbdiwdgkz31yv39/22625-1.GIF : Albrecht =========================start parameter file================================ 22625-1 { ; Mandelflower ; Isn`t it a beauty? ; Time 00.12.99.17 1280/1024 ; Inside Phoenix reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.75695845698371700/+0.24332107041618050/93.01358/1/-37.5000\ 000000003979/2.67549871146854912e-013 params=-0.05825983458967864/0.3785210730307932/22625.06595711013/14235.4\ 911030602/152048.0404800125/384.04048000125/384.00482000595/256.10076830\ 01/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=000hsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB9<3>uA2zA0xA0<12>SA1QA1N\ A1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<3>PJoSFlWAi_5fc0ce7_jFRo\ NIzb0zj0000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I88H44G00<3>T\ A5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc4<3>zS5zP5z\ L6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4H<3>P3DN2CK\ 2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2u<3>c5eZ6`U\ 6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3>civflvinvl\ qvotvsww<2>zzz<4>ovz }

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Re: [Fractint] Mandelmania2-3
by Hal Lane 02 Nov '13

02 Nov '13

Albrecht, You've done it again! Those new Mandelmania2-3 images are all very unusual. I especially like the four quadrants -- like North, South, East and West of your 22222-45. The "gold chains" in 22222-53 and 22222-54 are very nice, too. You can see where one compressed color map stops and the next one takes over quite clearly in your 22222-34 -- with the next fractal in effect. Very interesting. - Hal Lane ######################## # hallane(a)earthlink.net ######################## ------------------- Albrecht posted: ----------- Author: Albrechtx Date: 2013-11-02 04:12 -400 To: fractint Subject: [Fractint] Mandelmania2-3 Hi, : if you check the mandelmania2 folder in Dropbox you?ll find some more images not accounted for as yet. You can downlad them and copy them directly into you Fractint GIF folder to watch the parameters and have them available for further handling. Of course the Frm must be available in your FRM folder. That means the PAR files are not needed anymore. Between all these extraordinary images the last ones ...59 and ...60 are special because the colors were created by logmap which make details visible that otherwise remain invisible. If you?re having problems please report. : https://www.dropbox.com/sh/bau4757ws9t1t22/vts68yEgc- Albrecht ----------------------------------------------------- --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Mandelmania2-3
by Albrechtx 02 Nov '13

02 Nov '13

Hi, : if you check the mandelmania2 folder in Dropbox you?ll find some more images not accounted for as yet. You can downlad them and copy them directly into you Fractint GIF folder to watch the parameters and have them available for further handling. Of course the Frm must be available in your FRM folder. That means the PAR files are not needed anymore. Between all these extraordinary images the last ones ...59 and ...60 are special because the colors were created by logmap which make details visible that otherwise remain invisible. If you?re having problems please report. : https://www.dropbox.com/sh/bau4757ws9t1t22/vts68yEgc- Albrecht

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FOTD 01-11-13 (Skeletal Version [A-7,M-5])
by Jim Muth 01 Nov '13

01 Nov '13

FOTD -- November 01, 2013 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Today's image is another one lying in the boomerang-shaped parent fractal that comes about when various portions of Z^2 and Z^4 are mixed. The scene is located in a ragged bud on the southeast edge of the northeast arm, but closer to the X-axis than was the previous image. I named the image "Skeletal Version" because of its overall skeletal lacework appearance. With a rating of a 7, the art worth, mostly due to the brilliant coloring, is adequate, though the math value remains an average 5. The biggest drawback is the calculation time of 14-3/4 minutes, which will seem more like 3 hours for those who choose to watch the image slowly unfold on their screens. My advice is to view the image, already calculated and posted on the web sites. The FOTD web site may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> Variations are posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began with wind and rain, but by 10am the rain ended, the clouds blew away and the sun appeared, leading to a sunny afternoon with an unusually warm temperature of 68F 20C. The fractal cats lounged on the floor during the afternoon, when the sun is strongest in the southwest window. I think Nico is still trying to decide if he will let Jasmine share the large sunny window shelf with him. The humans had an average day. The next FOTD will probably not be posted until two days from now, on November 3. Until then, take care, and wouldn't it be great if religion and politics suddenly made some kind of sense? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Skeletal_Version { ; time=0:14:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.3395659762464629/+0.2054950752910069\ /4.978e+011/1/38.25/0 params=1.3/2/0.65/4/0/0/0/0 float=y maxiter=2500 inside=0 logmap=440 periodicity=6 mathtolerance=0.05/1 colors=000zAYzEZzGYzIYzKXzMYzOXzQWzUUzXUzZVxaWpiXi\ nXYqYYtYXubXtdYrhYqqPqqEqq1qo0qn0qo0qn0qn0qn8moIio\ IqnIooKoZKoZKoZKoZMoURirUUzk3zq0zt0or0cl0_g0W`0TV0\ OP0MG0KK1GDE7KG0TI0bG0iJ0oJ0rN0xR0zb9zmfzzLzz0jz0o\ w3rk3q`3qK1o82n04k6`UAy9Fz37z00z00z60tQ0b`08h00i00\ l36oAOrGfrNxdJxSGxGBwm0zizE9wz0`zizBozKuzTzz`zzhzk\ `zUUzHPz2Fz08z09z09`0e0Lz0Iy8NrVPk64t00z00z00wINep\ r1ru7uxDzzLzzRzzXzzbzzhzI0zD0l90_D66KW0Lek60x0zoIz\ VizGznOzrUzzYizhUztMzyDzz3zz0zz0zz0zz0zw3zq8xkBtdH\ nUKiI`eBgR4hK0kC0n40o10r10r00t00uB0wK0xW0yg0zq0zz0\ zz0zz0zz0wz0tz0qz0ky1iw6erAboEYlHSimqPzzHzzIpxHVtF\ CnF0iI0dK0_N0YJ0YH0YE0YD0W96W6GW69z0Hz0Pz0Wz0az0bz\ 0io0io0fo0go0go0go0go0bo0Yo0Wo0Qz0Rz0Tz0Zz0Tz0Tz0l\ z0lz0lz0lz0mz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0\ zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz\ 0zz0zz0zz0zz0zz0zz0zz0zz0 } 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 31-10-13 (Running Ragged [A-7,M-5])
by Jim Muth 31 Oct '13

31 Oct '13

FOTD -- October 31, 2013 (Rating A-7,M-5) Fractal visionaries and enthusiasts: The iterated expression in today's image combines 1.3 parts of Z^2 with 0.65 part of Z^4. This unlikely combination creates a parent fractal shaped somewhat like a boomerang, with the slightly separated arms pointing to the northeast and southeast. Today's scene lies in a valley inside the large bud on the southeast shore line of the northeast arm of the parent fractal. The name "Running Ragged" describes the overall effect of the image, with its excessive detail and super-abundance of spiral arms, not to mention the moth-eaten appearance of the minibrot at the center. The art rating of a 7 is held down by the excessive detail, which muddies the overall appearance. The math rating of a 5 indicates average math interest. Today's formula has been my workhorse for 15 years, and the critical fractals it produces, while beyond numbering, are quite familiar. OK, I admit it! The calculation time of 8-1/2 minutes is slow. But the web sites are there to handle situations just like this. Avoid time frustration by viewing the finished image at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Heavy clouds with occasional rain plagued Fractal Central today. The temperature of 64F 18C was mild enough however. The older fractal cat showed his displeasure with the conditions, while the younger one tested her needlepoint claws on the couch. The humans threw a blanket over the couch and made it through the rest of the day without incident. The next FOTD is on the way, so be ready for anything at any time after 24 hours from now. Until 'anything' appears, take care, and on TV last evening I saw a science show supposedly about the meaning of life. The show somewhat successfully explained the 'how' of physical life, but I saw almost no effort to explain what everyone really wants to know -- the 'why' of life. Scientific obscuration like this is the reason I have turned so sour on materialistic science in my later years. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Running_Ragged { ; time=0:08:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.4225734459133247/+0.4453155594400627\ /1.1783e+010/1/-147.5/0 params=1.3/2/0.65/4/0/0/0/0 float=y maxiter=7200 inside=0 logmap=535 periodicity=6 colors=0009Lv9Lv9Lv9Ls8Lq8Kn7Kk7Ki7Jf6Hc5G_5EU4AQ8\ 6KC2FD1AF15I22N33S44W55a66f77j88l88n99n99qC9qF9sH9\ sK9uOAuRAuTAuYAuZAuaAvbAvYEwYKwbPxgUxkYymaymczmZum\ UzgUychxZtzRwzHxsAyoAzl9vi8nb6cX5XS4OK3DC254000001\ 711711711711711712C26I36K3BQBEWWFbWIfaMkfNomQqsUsz\ UwzXzzZzzZzzazzazzazzSzzHzzAzzAzzAzzAzzHzzPzlVqXUc\ D_T5cJ6cG6cG6cE6cGGcGOcDWcDceFnfDxfEzfEzgAzgAzgAzd\ KzbPzaUzaazZdzXezUczSczEczPczXczcczkczmczmcviikhcz\ cccccLcc6cc6ccDccLccTcc`ccb`ciScqGcxAczAczAczAczPc\ zaczcmzcxzczzmzzmzzprzrozzmzzmzvmzriznczhZzcUzXPzS\ KzMAzFAzAAzAAzAAzAAzAAzAAzAAzC9xL9sR8nX7kb7fk7bsC_\ zKYzPTzUYzZYzcSzfQziOzkMzmKzpKzsNzuQzxTzzczzczzczz\ czzczzczzczzczzczzzzzzzzzzzzzzzzzzzzzzzzzzzzzuzzsz\ zmzzizzfzzazzXzzUzzPzzKzzKzzHzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 30-10-13 (Dreamtime [A-7,M-5])
by Jim Muth 31 Oct '13

31 Oct '13

FOTD -- October 30, 2013 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that results when 2 parts of Z^2 are combined with Z^3. This parent is a Mandeloid rotated 180 degrees, consisting of three large bays and a main bud. Today's scene lies on the east side of the southern branch of the valley separating the second and third buds. I named the image "Dreamtime", and why not? If physical existence is the definition of reality, then fractals are every bit as real or unreal as dreams. The unusual terraced effect was achieved by rendering the image with the inside set to 'fmod' and the outside set to 'tdis'. The art rating of a 7 indicates that the effect was achieved by a kind of program trickery. The math rating of a very average 5 indicates that nothing new lies in the math aspect of the image. The most annoying aspect is the slow calculation time of 13 minutes. But here again, the FOTD web sites can relieve the boredom. To eliminate all boredom, the finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> with variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A sunny end-of-October day graced Fractal Central today. The cloudless skies and temperature of 59F 15C were just what the fractal cats ordered, but the fractal cats were too busy getting to know each other to bother themselves with the outside conditions. The fractal people spent the day wondering why health insurance premiums went up when the so-called 'affordable' health care act went into effect. The next FOTD will be posted in a certain number of hours. Until the proper time arrives, take care, and what comes next? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Dreamtime { ; time=0:13:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-1.256753683745091/-0.2188767167340957/\ 5.287546e+007/1/-122.5/0 params=2/2/1/3/0/0/0/0 float=y maxiter=1500 inside=fmod proximity=0.037 outside=tdis periodicity=6 colors=222HLiJJkLFkUOgPIiLDkI8l65zB4wE4nI6gP8ZUBRZ\ FMeHFkK8wP4qN4lL5hL6dK8`J9XJBTHCOGELHGHGHLqMBCLEFI\ GHHHKGHLEKNDLQBMTA3iBNU8qP4pM4nJ4lG8kEDkCHi9Mh6Pg3\ WV4ia3dg3`l4Xt4Uz5Qz5Lz5Kz7KwBJtFJqIJnMIkPIhTHeYFc\ aF`gEYkEWpDUuDRzDOzDYzQeweltrrsztsztrxsptqoqqmoqlm\ qjirhfrfbre_rcWraSr_PrZMzeIrYJeOJUGI2FVI8Hg33e33e3\ 3d36d4Ac6Ec9HaBLaEQ`GU`JY_Lc_OgZRkacz_UpXXkUXgQYcO\ ZZL`WKeZJcWJaTJ`QHYOHXLHVJJcALk3Mt4Or4Qq4Tp4zn4sc4\ p`3oY3oV3pS3qP3sD3q24i33c37X2BQ2DV4H`6Me9QkCUqDZqG\ gqHopHzqIxqKtqLoqLmqMiqNezPduObqNblM`hM`dK``KZXIZT\ IZOGYcFYVCUNBRE8O56L24I11H11F11I12M26I4AM6DK9GHBKE\ CMBFO9HQ7IT3LU2NV2JY2HZ2LY2OX2RV2VV3ZU5aT7eTAiSElR\ HqQJuROxQQzORzOUuKalEfc9nW6u_4ta4re4qh4pk4np4lr4ku\ 4jn4hg3g`9gVFezo5g_NbKnPLeBKY0715VV6VY9X`CYdE_g5Lz\ 8RzBWrF_iJdbOiYSnRXtLnz5hz7ezA`xFWuIQtOMqQHnVClY7l\ c4jf3hf4dg7ah8YhBVhDSiFOi } 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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Mandelmania 2-2
by Albrechtx 31 Oct '13

31 Oct '13

Hi, if you look at the new images in the Mandelmania folder you will detect immediately that something is entirely different. The reason is as follows: When I was trying to "fill" the inside one and three mandels with additional fractals I saw only a brownish colour with some shadows. In order to have a usable image I had to compress the colours of these parts of the image so finally only something like 8bit colours remained. The multifractal "formula" offers this possibility for all channels outside/main/inside 1-3 separately, but never used so far as the problem didn?t occur You can observe the result: A completely new kind of fractal image using several colour maps simultaneously. If they mix a phantastic impression is the result. Again any feedback is welcome as Im not quite sure if this actually has not been done before. Question: What happens if I save these colours as a map: Are the separate compression factors saved?? The new images will move to a new folder: Mandelmania2. : https://www.dropbox.com/sh/71cistem4fdadr4/N_tWBOvOOJ https://www.dropbox.com/sh/bau4757ws9t1t22/vts68yEgc- : Albrecht ============start parameters============================================= 22222-13 { ; Compressed Inside 3 ; Mand-mand-mand-mand-newt ; 1280/1024 ; Time 0.20.02.13 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.0398/0.00390016/6.084562/1/-90/-1.23373533611470521e-014 params=-0.05825983458967864/0.3785210730307932/22227.64595733336/14235.4\ 911030602/152048.0404808048/384.1604824048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3072 inside=maxiter periodicity=0 rseed=-2436 colors=000icS<3>ZXNXVMUTKRRJPQI000000000F00<5>R00<4>`00<3>K_0Gh0Bq07z0<3\ >OR0TI0X90`00<3>O00K00H00<2>700070<3>0G60I70L9<3>0UF<3>WiTcmWkq_svc<3>Oe\ PGaM8YI0UF<3>0CA089048007<3>3CS3FX4Ib<2>6Rq7Uw6Wp<3>2cR1eL0hF<3>3``4Zf5X\ k6Wq7Uw<4>4NW3LR2KL<3>0F0000070<5>0I00K00M0<3>0U0<3>GNSKLZPKe<2>`Fz00090\ 0<3>K00N00P00S00V00<3>M00K00I00<3>900YYS<4>kjamlcpoe<3>zyn<6>jmNhkJfjFch\ B<2>Zc0<6>NlRLmVJnZ<2>ErjDsnDqk<5>D`_DYYDVV<2>DMPDKNF00<5>Q00S00U00<3>`0\ 0<4>V96TB7SC8<3>NKD<10>ldTnfUqgV<3>zo`<4>leU } 22222-22 { ; Compressed Inside 1+3 ; Mand-mand-mmods-mand-newt ; 1280/1024 ; Time 0.03.21.63 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.18262/-0.01437/1.941658 params=-0.05825983458967864/0.3785210730307932/22527.06595711011/14235.4\ 911030602/152048.0404800125/384.04048000125/384.00482000595/256.10076830\ 01/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=000oNIzb0zj0000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I8\ 8H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc\ 4<3>zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4\ H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2\ u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3\ >civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB\ 9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<\ 4>SFlWAi_5fc0ce7_jFR } 22222-23 { ; Compressed Inside 1+3 ; Mand-mand-mmods-mand-newt ; 1280/1024 ; Time 0.06.19.33 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.55551543623519830/-0.00027355498655786/38.83317/1/-90/-1.2\ 3373533611470521e-014 params=-0.05825983458967864/0.3785210730307932/22527.06595711011/14235.4\ 911030602/152048.0404800125/384.04048000125/384.00482000595/256.10076830\ 01/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=000oNIzb0zj0000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>LQ8KM8KJ8<2>I8\ 8H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4zz3<4>zj4zg4zc\ 4<3>zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f5Ma5IW4E<2>_4\ H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt1ns1or2q<2>v2\ u<3>c5eZ6`U6X<2>F9LAAG7FO4KW0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3\ >civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB\ 9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<\ 4>SFlWAi_5fc0ce7_jFR } 22222-25 { ; 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Compressed Inside 1+3 ; Mand-mand-mmods-mand-newt ; Zoom into inside3 - different colours! ; Time 0.07.46.37 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.42951364987563580/-0.00932090016971013/437755.7/1/-52.4999\ 999991504112/-5.50464576698495023e-010 params=-0.05825983458967864/0.3785210730307932/22527.06595711011/14235.4\ 911030602/152048.0404800125/384.04048000125/384.00482000595/256.10076830\ 01/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=000c5e<3>K8PF9LAAG<2>0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3\ >civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB\ 9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<\ 3>PJoSFlWAi_5fc0ce7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>L\ Q8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4z\ z3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f\ 5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt\ 1ns1or2q<2>v2u<2>h4i } 22222-30 { ; Compressed Inside 1+3 ; Mand-mand-mmods-mand-newt ; Zoom into inside3 - mandel in the sky ; Time 0.09.01.30 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.42951427069786170/-0.00931807044992798/2545091/1/-52.49999\ 99989634247/3.93167831624907649e-010 params=-0.05825983458967864/0.3785210730307932/22527.06595711011/14235.4\ 911030602/152048.0404800125/384.04048000125/384.00482000595/256.10076830\ 01/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=000c5e<3>K8PF9LAAG<2>0Qc<3>5Xc6Zc7`c7aa7c_7eY<3>FcgHciJbl<3>S_v<3\ >civflvinvlqvotvsww<2>zzz<3>rwzovzhsw<3>Gch8_d8Xa<3>8JP8FL8CI<3>SCCXCAaB\ 9<3>uA2zA0xA0<12>SA1QA1NA1<3>D92<6>UXAW`BYcC<3>hrI<3>UnXRm_NlcJkgFfpAaz<\ 3>PJoSFlWAi_5fc0ce7_jFRoNIzb0zj0000zr0zz1zzC<2>zzz<3>jqdfo_blU<3>Mb8<3>L\ Q8KM8KJ8<2>I88H44G00<3>TA5WD6ZF7aI8eLAhMBiODjQF<3>qeBriAtm9vq8xu7zz5zz4z\ z3<4>zj4zg4zc4<3>zS5zP5zL6zI6zE6wE6tD6<6>vAIv9Kv9M<3>x7Sy7Uy6Wz6Yz5_<3>f\ 5Ma5IW4E<2>_4H<3>P3DN2CK2A<3>805G0BO0G<3>g0Ul0Xq0`v0d<2>y0fz0gy0h<3>u1mt\ 1ns1or2q<2>v2u<2>h4i }

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Mandelmania2
by Albrechtx 30 Oct '13

30 Oct '13

Hi, if you look at the new images in the Mandelmania folder you will detect immediately that something is entirely different. I?ll explain later, it?s too late today, The more experienced users will know anyway. Albrecht

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22222-4
by Albrechtx 30 Oct '13

30 Oct '13

Am 30.10.2013 09:04, schrieb Hal Lane: > One image is something extra special - check it out. Thanks, Hal no - you didn´t detect the image I had in mind. Its the 22222-4.gif. Take a look again: Have you ever seen a mandelbrot which is shaped like a flying bird - or a kite, maybe-? Also the surroundings support the impression of flying over an ocean. I can imagine it as a big poster on my wall Wish I had Jim´s talent of playing with colours. : Albrecht.

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Re: [Fractint] 20202 Zooms
by Hal Lane 30 Oct '13

30 Oct '13

Albrecht, Your playground series of images are quite unusual, with many features I don't often see in fractals. Thanks for posting them. There appears to be lots more detail yet to be zoomed into! I especially liked the varied shapes in your: PLAYGRN4.GIF and PLAYGRN7.GIF - Hal Lane ######################## # hallane(a)earthlink.net ######################## Author: Albrechtx Date: 2013-10-28 To: Fractint Subject: [Fractint] 20202 Zooms HI, : these are the parameters for the zooms into yesterdayÂ´s mandel image, probably you have already seen them in the Dropbox folder. 20202-8c needs almost one hour but - look closely- maybe youÂ´ll like it. 20202-5 is the same image as 20202 but with activated reset commands, z and iteration, so the complexity does not change. : https://www.dropbox.com/sh/ybfjea1svuis47e/fyAx6iJrO- : Albrecht ==========Start Parameter================================================== . . . --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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Re: [Fractint] Mandelmania
by Hal Lane 30 Oct '13

30 Oct '13

Albrecht, I enjoyed your collection of images named Mandelmania that used your mfr_10.frm formula a lot. You said: > One image is something extra special - check it out. I think you may be referring to the one image with a different color map: 20202-8C.GIF It's a very subtle map and I like its brass, blued steel, and dirty chrome color tones a lot. As an experiment I put the two different colorings of the same fractal: 20202-7.GIF and 20202-8C.GIF into two adjacent tabs of my browser, and rapidly switched between viewing each image of the pair. Interestingly, certain areas of each fractal are brought out more clearly in one of the fractals than the other, which became much more apparent when I "blinked" between viewing each of the two images. I just discovered that: 22222-12.GIF and 22222-13.GIF are the same image with *very* different color maps! With a little imagination, I can see 22222-13.GIF as a goblin with green circular eyes with black pupils, two blue nostrils and a gaping mouth -- perhaps with a handlebar moustache... - Hal Lane ######################## # hallane(a)earthlink.net ######################## Author: Albrechtx Date: 2013-10-29 To: Fractint Subject: [Fractint] Mandelmania HI, : Mandel zooming is extremely fascinating and itÂ´s not the first time I discover that. Some years ago there was a series named Mandelmania and IÂ´m using that name again, but the images are much better this time. Still learning and the software has improved. One image is something extra special - check it out. : All mandel images are in a new folder - link below. : https://www.dropbox.com/sh/71cistem4fdadr4/N_tWBOvOOJ : Albrecht ==========Start Parameter================================================== . . . =========================================================================== --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 29-10-13 (Going for Broke [A-8,M-5])
by Jim Muth 29 Oct '13

29 Oct '13

FOTD -- October 29, 2013 (Rating A-8,M-5) Fractal visionaries and enthusiasts: Today's image lies in East Valley of the minibrot in yesterday's image, though at a far deeper level. The magnitude is over 10^34, at a depth where all Mandelbrot minibrots start to look the same, with an endless series of concentric circular rings surrounding them. This sameness seems to spoil many fractals when certain parameters, such as the magnitude, the value of the exponent of Z or the number of different exponents, are taken to the extreme. Today's image, because of its sixteen prominent elements that add variety to the circles, partly escapes this curse of sameness. The rating of a 6 was bestowed because of my coloring, which is basically the same palette that was used in yesterday's image, but with the logmap turned off. The bad news is that the image requires arbitrary precision math, which at this depth slows things to a crawl. The web sites can get the crawling calculation back on its feet however. To save much time, check the web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Total sun and a temperature of 55F 13C made today quite pleasant here at Fractal Central. The old fractal cat noticed the strong sun, but the new fractal kitten kept him too occupied to enjoy it. The humans had a normal day, whatever that might mean. The next FOTD will be posted reasonably soon. Until whenever that might be, (24 hours is a good guess), take care, and when I observe the human condition, I can't help but wonder: If the present humanity is the best God could do, then he is not much of a god. And claiming we are mis-using the free will He gave us does not excuse His bumbling deficiencies. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Going_for_Broke { ; time=0:45:00.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 center-mag=-1.939704212199531049267357363262091411\ 15/0.001620298996722751946433817990822021683/1.457\ 551e+034/1/170/0 params=0/0 float=y maxiter=12000 inside=0 periodicity=6 colors=000QUjRUhSTgTTeUTdUTbVSaWS_XSZYSXZSVZRU_RS`\ RRaRPbQOcQMcULdUJeUIfUGgUFhUDhUCfUBhcBhcBhcAhcAhcA\ hc9hc9hc9mm8mm8mm8mm8mm7mm7mm7mm6rz6rz6rz5rz5rz5rz\ 4rzArzKozUlzcizmfzzczz`zzZzzXzzVzzTzzMzzFzz8zzCzzF\ zzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzOzz\ MzzKzzIzzKzzKzzKzzPzzPzzUzzUzzZzzZzzczzczzczzhzzmz\ z7Am76m65m65c54U44U43U33P32K22F115113000KUzFPsAKo5\ Ff0Ab05X00U00O00K000mzzUwwmKZZKBKKIKKOECUHE_KMeNKk\ QJqSSrU_sWgtgouwzzruzksrclpd_o`Omgbkg_XZSPPKIGKA7K\ AEaKKhURrcXzmbzmWzcQzUJrSDjSBgX9i`8kd6mh4ol3qp1st0\ tx9fpIUhRH`PKbNMcLPdJRfHUgGWhIHaK3WN2YQ1_S1`V0bX0c\ MYPOYMQYKRYITYGVYEWYCYYAZY8TkLNxXapSohOTJ0RI4PI7NH\ ALHDJGGHGJGGMSPFcX8geGknOnqMqsKsuIvwGxyEqwHjvJdtLY\ sNRrQLpSEoU8nWRoGjaGebCab8Xc4Tc0Xb2_a3b`5e`6i_7lZ9\ oYArYBsTKtPTuKavGjvCsiGuXKwbJogIgmI`rHTwHMkJJ_LGOM\ ECOB0P95QG9RMDSTHTZLUePUk } END PARAMETER FILE=========================================

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FOTD 28-10-13 (Deep Blue [A-8,M-5])
by Jim Muth 29 Oct '13

29 Oct '13

FOTD -- October 28, 2013 (Rating A-8,M-5) Fractal visionaries and enthusiasts: We return today to the best known fractal of all, the Mandelbrot set, where we check the main stem and find a minibrot on a high- order filament radiating from a series of ever-smaller minibrots. Most of the somber effect is due to my coloring, which earns the art aspect an excellent 6. Since the M-set is the best known of all fractals, the math is so familiar that I could rate the math aspect no higher than a 5. The name "Deep Blue" refers to the heavy color scheme. Yes, my colors do seem to be becoming more depressive lately, but there is nothing much I can do about it, since I am only partly in control of the appearance of the images. (To see a change in the appearance of the image, reset the bailout to 10.) The scene lies deep enough to make arbitrary precision math necessary. This greatly slows the calculation time, but the main stem is a fast area for arbitrary precision math, and the final calculation time of 1-3/4 minutes is well within reason. If any unreason remains, the web sites can bring a return to the world of reason. View the finished product quite reasonably at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> and <http://user.xmission.com/~legalize/fractals/fotd/about.html> Near perfect end-of-October weather prevailed here at Fractal Central today. The older fractal cat tried to enjoy the sun on his shelf, but the new fractal cat kept annoying him by batting at his dangling tail. He finally had enough and tucked his tail under him. The fractal humans had a slow but pleasant day. The next FOTD will be posted in the proper time. Until we find out what time is proper, take care, and a rational world view would be far simpler to maintain if rational physicists doing serious science didn't keep theorizing invisible worlds that obviously remind people of the spirit worlds claimed to exist by spiritualists. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Deep_Blue { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=mandel center-mag=-1.9397042121995\ 310129/0.00162029899672273069/9.401734e+014/1/\ -152.5/0 params=0/0 float=y maxiter=1500 inside=0 logmap=144 periodicity=6 colors=00076P76N65L65J54H44F43D33B3292271151130006\ Bz83s73o62f52b42X31U21O10K004UzzUrwmKZZKBKKIKKOECU\ HE_KMeNKkQJqSSrU_sWgtgouwzzruzksrclpd_o`Omgbkg_XZW\ PPSIGIA7E3Ea8KhDRrHXvMbzQWvRQrRJmSDjSBgX9i`8kd6mh4\ ol3qp1st0tx9fpIUhRH`PKbNMcLPdJRfHUgGWhIHaK3WN2YQ1_\ S1`V0bX0cMYPOYMQYKRYITYGVYEWYCYYAZY8TkLNxXapSohOTJ\ 0RI4PI7NHALHDJGGHGJGGMSPFcX8geGknOnqMqsKsuIvwGxyEq\ wHjvJdtLYsNRrQLpSEoU8nWRoGjaGebCab8Xc4Tc0Xb2_a3b`5\ e`6i_7lZ9oYArYBsTKtPTuKavGjvCsiGuXKwbJogIgmI`rHTwH\ MkJJ_LGOMECOB0P95QG9RMDSTHTZLUePUkQUjRUhSTgTTeUTdU\ TbVSaWS_XSZYSXZSVZRU_RS`RRaRPbQOcQMcULdUJeUIfUGgUF\ hUDhUCfUBhcBhcBhcAhcAhcAhc9hc9hc9mm8mm8mm8mm8mm7mm\ 7mm7mm6rz6rz6rz5rz5rz5rz4rz4rz4czzXzzQzzJzzCzzVzzm\ zzfzz_zzTzzMzzFzz8zzCzzFzzZzzdzzizzdzz_zzVzzRzzbzz\ bzzbzz_zzYzzVzzTzzRzzOzzMzzKzzIzzGzzFzzFzzEzzEzzDz\ zCzzCzzBzzBzzAzz9zz9zz8zz } END PARAMETER FILE=========================================

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Mandelmania
by Albrechtx 29 Oct '13

29 Oct '13

HI, : Mandel zooming is extremely fascinating and it´s not the first time I discover that. Some years ago there was a series named Mandelmania and I´m using that name again, but the images are much better this time. Still learning and the software has improved. One image is something extra special - check it out. : All mandel images are in a new folder - link below. : https://www.dropbox.com/sh/71cistem4fdadr4/N_tWBOvOOJ : Albrecht ==========Start Parameter================================================== 22222-1 { ; Mandelmania 1 ; 5*mandel ; 5 complexities added and no chaos ; 00.13.31.68 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.34162/-2.22045e-016/19.7051 params=-0.05825983458967864/0.3785210730307932/22222.64595710005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200O00<6>A00<4>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjlll<3>sss<\ 25>BBB999777<2>222000012<22>0_k0am0bo0cq<3>0jx0kz0jx<24>09C08A068<2>0220\ 00211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z\ 00<18>Q00 } 22222-3 { ; Mandelmania 2 ; 5*mandel ; First Zoom ; 0.27.05.20 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.38235539732193100/+0.01240182832849480/229.1291/1/-12.4999\ 999999993499/-5.5939280985128903e-013 params=-0.05825983458967864/0.3785210730307932/22222.64595710005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200GGG<3>999777555444222000<23>0_k0am0bo0cq<3>0jx0kz0jx<24>09C08A\ 068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00\ q00s00<3>z00<25>C00A00800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjlll<\ 3>sss<21>III } 22222-4 { ; The sensational flying mandel ; 5*mandel ; second zoom ; 0.25.09.68 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.38216535973731000/+0.01356263024011265/1684.773/1/-12.5000\ 000000035172/-5.05012698326368081e-014 params=-0.05825983458967864/0.3785210730307932/22222.64595710005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200GGG<3>999777555444222000<23>0_k0am0bo0cq<3>0jx0kz0jx<24>09C08A\ 068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00\ q00s00<3>z00<25>C00A00800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjlll<\ 3>sss<21>III } 22222-7 { ; Mandel Island ; 5*mandel ; Third zoom ; 0.18.54.97 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.28604486313414700/+0.00419049353397553/740.7933/1/19.99999\ 9999998348/3.07916192543444822e-012 params=-0.05825983458967864/0.3785210730307932/22222.64595710005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200PPP<7>BBB999777<2>222000012<22>0_k0am0bo0cq<3>0jx0kz0jx<24>09C\ 08A068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>\ o00q00s00<3>z00<25>C00A00800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjl\ ll<3>sss<16>QQQ }

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Mandel Images
by Albrechtx 29 Oct '13

29 Oct '13

HI, there´s a good reason I´m already back: : Is it really possible - more then 20 years millions of people have played with the mandel formula and yet today I come up with images no one has ever seen before? If you look at the Playground folder in the Drop Box there are 4 zooms for the 20202 image, all are unique I would say. Correct me if I´m wrong. The difference of course is the Multifractal "Formula" which places one image inside another or you can also say it adds one complexity to another and the transitions are handled by programmable reset commands so (mostly) no chaos is the result. This image proves that it gains complexity the deeper you zoom and yet you have mandel images. The last one 20202-4 is not a pretty image but more a zooming source. Any feedback is welcome! Albrecht

3 3

20202 Zooms
by Albrechtx 28 Oct '13

28 Oct '13

HI, : these are the parameters for the zooms into yesterday´s mandel image, probably you have already seen them in the Dropbox folder. 20202-8c needs almost one hour but - look closely- maybe you´ll like it. 20202-5 is the same image as 20202 but with activated reset commands, z and iteration, so the complexity does not change. : https://www.dropbox.com/sh/ybfjea1svuis47e/fyAx6iJrO- : Albrecht ==========Start Parameter================================================== 20202-8c { ; mand-zero-mand-zero-mand ; Hypercomplex Spiral ; time 00.51.23.13 ; 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.48534166406331800/+0.01083911700439379/5.779406e+007/1/-60\ .0000001674039751/3.28462650557581615e-007 params=-0.05825983458967864/0.3785210730307932/20202.64595730005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=000jps<3>puxrwz000<3>000FFF<12>TTTUUUWWW<27>rrrrrrsss<2>vvvwwwzrZ\ <42>QC5PB4OA3<2>L71K50K62<19>TKPULQULR<3>XPWYRXZSY<14>rnosoptqr<2>xuuzww\ zt`<30>_LEZJDYICYHCXGBWFA<6>Q75P64O53<3>K000AA<17>EMPFNPFOQ<3>JRULSVMUX<\ 16>ior } 20202-1 { ; First Zoom ; Mand-zero-mand-zero-mand ; time 00.11.47.99 ; 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.48530904487393000/+0.01091088527057470/3180.985/1/-90/-1.2\ 3373533611470521e-014 params=-0.05825983458967864/0.3785210730307932/20202.64595730005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200NNN<6>BBB999777<2>222000012<22>0_k0am0bo0cq<3>0jx0kz0jx<24>09C\ 08A068<2>022000211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>\ o00q00s00<3>z00<25>C00A00800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjl\ ll<3>sss<17>PPP } 20202-2 { ; Second Zoom ; Mand-zero-mand-zero-mand ; time 00.11.30.85 ; 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.48534284788754800/+0.01083026547953515/36988.2/1/-90/3.885\ 78058618804789e-016 params=-0.05825983458967864/0.3785210730307932/20202.64595730005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200OLD<5>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000\ <11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjlll<3>sss<25>BBB999777<2>222000012<\ 22>0_k0am0bo0cq<3>0jx0kz0jx<24>09C08A068<2>022000211<21>icNkeOmfP<3>unTw\ pVxqWzsX<18>QNE } 20202-3 { ; Third Zoom ; Mand-zero-mand-zero-mand ; time 00.11.30.85 ; 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.48534512067926400/+0.01083996082871444/303182/1/-90/3.8857\ 8058618804789e-016 params=-0.05825983458967864/0.3785210730307932/20202.64595730005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200OLD<5>CB7A96875<3>000400<23>o00q00s00<3>z00<25>C00A00800<3>000\ <11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjlll<3>sss<25>BBB999777<2>222000012<\ 22>0_k0am0bo0cq<3>0jx0kz0jx<24>09C08A068<2>022000211<21>icNkeOmfP<3>unTw\ pVxqWzsX<18>QNE } 20202-5 { ; Mandel Overpopulation ; Mand-zero-mand-zero-mand ; time 00.01.52.15 ; No Reset Commands 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.49417/-0.01437/0.9630625 params=-0.05825983458967864/0.3785210730307932/20202.64595733338/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200800<3>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjlll<3>sss<25>BBB\ 999777<2>222000012<22>0_k0am0bo0cq<3>0jx0kz0jx<24>09C08A068<2>022000211<\ 21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z00<26>\ A00 }

1 0

FOTD 27-10-13 (Fright Night [A-8,M-6])
by Jim Muth 27 Oct '13

27 Oct '13

FOTD -- October 27, 2013 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image lies in the parent fractal that results when 3.5 parts of Z^(-1.1) are combined with 0.5 part of Z^(-5.5) before (1/C) is added on each iteration. The default screen view of this parent is little more than a field of unorganized blobs forming a hint of a valley, but two full outzooms reveals a fully formed but quite distorted Mandeloid, with a ring-lined filament extending southeast to where it joins a large ring. Today's scene, with its abundance of sharp bright spikes, lies near the point where this filament joins the large ring. Since the season is one of fright, and sharp things such as daggers and axes are trendy at this time of year, when I saw the scary sharpness in the image, I named it "Fright Night". With a modicum of coloring effort going into the image, its rating is worth an honorable 8. The math worth remains a 6, since the MandAutoCritInZ formula has been doing its thing for over a decade, and has long since lost its math impact. The calculation time of 4 minutes is slow, no denying it, but once again the web sites are on the job, with not only the original image but assorted variations as well. The finished image is available on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> which may soon be re-designed with new and greater features. The image with additional variations is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and also at: <http://www.Nahee.com/FOTD/> and: <http://user.xmission.com/~legalize/fractals/fotd/about.html> Today brought a mix of sun and clouds to Fractal Central, while the breeze from the northwest and temperature of 54F 12C added a proper end-of-October atmosphere to the scene. The fractal cats, still interested in getting accustomed to each other, had little interest in the outside conditions. The humans had a reasonably quiet day. The next FOTD will likely be posted in about one day, but possibly two days. Until next time, take care, and they can't put it on the news shows if it isn't true. Or can they?... Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Fright_Night { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+96.84710700506818/-56.0569704879051/\ 3.965998e+009/1/-32.5/0 params=3.5/-1.1/0.5/-5.5/0\ /0/0/0 float=y maxiter=1500 inside=0 logmap=320 periodicity=0 mathtolerance=0.05/1 colors=00000M00M00M00N00N00P00P00R00R00S00S00U00U0\ 0U00U00U00U00U00U30U30U30U30U40U40U40U60U60U60U90U\ 90U90UB0UB0UB0UB0UC0UC0UC0UC0SA0R90P60N60M30K00I00\ G00E00B006003000000000zzzzzzzwztvyrqrmmmikieeecccR\ RRMMMGGGBBB444000000hzz_zzSymMomGcc9Sc0GU0IWBKY9GV\ 6ES4CP3BN39K06G04C00B006003000000000000azvYoiPdX4R\ K0630hz0`z0Ut0Mi0EX04K0030pi0ld0h`0cY0_U0VP0RM0MG0\ GC0B6040000000_ltXhpUclR`hNXcKU_GPVCMR9GM4BG06B004\ 000000ntyMRU0cs0bYoSzkPzgMwbIrYGlUCgP9`K6VE3P90I30\ B003000zN0zK0zG0vC0n90d40V00M00B00000Pi3Mc0I_0EU0B\ P06K03C0060000000zri`PKb00X00S00N00I00B00400000000\ zBgz6`z4Xz3Sz0Nz0Iz0Bz04z00z00zl9zh6zd4zPgr0lc0rU0\ wN0zE3z64z06z06z04z64zE4zM4zS4zYPzcPyk3vpcsvcozclz\ chzcdzcbzc`yr_orYgrXXrVMrU9rS0zR6zPEzNMzMSzK_zIdzG\ zzEzzCzzBzz9zz9zz9zz9zz9zz9zz9zz6zz6zz6zz6zz6zz6zz\ 6zz4zz3zz0zz0zz0zz0zz0zz0 } 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=========================================

1 0

circle13
by JackOfTradeZ＠comcast.net 27 Oct '13

27 Oct '13

. ""Jack how about an animation, maybe more atravel then a deep zoom? Possibly even usingmy music done with "Circles". If you wantI?ll supply the midi or wav edition"" Circle13 loox the best. There are TOO MANY complex parameters to try animating, unless someone wants to suggest a range of values I can try. Zoom in to circle13 shows a never ending series of complex rings - may be cool, I will check it out. If it works I will see about the music. .

1 0

- Two unsusual mandel images
by Albrechtx 27 Oct '13

27 Oct '13

HI, : These are two unusual but interesting images created today from the scratch. The second one is an extra candy for all those mandel fetishists, somehow I´m still one of them. : https://www.dropbox.com/s/sdme4wfebs14g6v/Playground.mp3 https://www.dropbox.com/sh/ybfjea1svuis47e/fyAx6iJrO- : Albrecht : START PARAMETER FILE======================================================= 26748 { ; mand-phoen-newt-jul-spid ; Mandel Type but does not look like it ; time 00.16.47.56 ; 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.28062/2.08167e-017/30.70214/1/90/3.88578058618804789e-016 params=-0.05825983458967864/0.3785210730307932/26748.64595710005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<2>110110000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0\ F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<\ 4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16\ >kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<12>110 } 20202 { ; mand-zero-mand-zero-mand ; A most unsusual brot ; time 00.10.08.47 ; 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-1.36182/-8.32667e-017/7.952463 params=-0.05825983458967864/0.3785210730307932/20202.64595730005/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter periodicity=0 rseed=-2436 colors=200S00<8>A00<4>000<11>LLLNNNPPPQQQSSSUUU<6>fffgggiiijjjlll<3>sss<\ 25>BBB999777<2>222000012<22>0_k0am0bo0cq<3>0jx0kz0jx<24>09C08A068<2>0220\ 00211<21>icNkeOmfP<3>unTwpVxqWzsX<25>CB7A96875<3>000400<23>o00q00s00<3>z\ 00<16>U00 } frm:multifractal_10 { ; Albrecht Niekamp Jan2005 ;RP2 Left: 5 Digits_Channel:1_main 2_outside 3_inside1 4_inside2 5_inside3 ; Frms: 0_off 1_Sec 2_Mand(2) 3_Bees 4_Jul 5_Mmod 6_Phoen 7_Newt 8_Spid ; Right: 2 Digits_MMods_Number of sides 2 Dig_Phoenix 2 Dig_Spider ; 1 Dig_TransReset_main :0_no 1_dblmand 2_Iter-res 3_both +5_warp ; 4 Dig_TransReset_Ch2-5:0_no 1_z-reset 2_Iter-res 3_both +5_warp ;IP2 Left: 5 Digits_Bailout Number for Channels 1 to 5 ; Right: Variab: 4 Digits_Mand/Jul(2 var) 2 Digits_Secant 4 Digits_Bees ;RP3 Left: 2 Digits_Newtonvariable 4 Digits_Colour1 ; Right: 5 Digits_Colour2 5 Digits_Colour3 ;IP3 Left: Main: 5 Digits_Warp-factor (fn1 is used) ; Right: 5 Digits_Colour4 6 Digits_Colour5 ;RP4 Left: Outside: 5 Digits_Warp-factor (fn2 is used) ; Right: Outside: 4 Dig+1 fractaldig_bord-out 4 Dig+1 fractaldig_bord-in ;IP4 Left: Inside1_Maxiter ; Right: Inside1_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn2 used) 4 Dig+1 fractaldig_border1 ;RP5 Left: Inside2_Maxiter ; Right: Inside2_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn3 used) 4 Dig+1 fractaldig_border2 ;IP5 Left: Inside3_Maxiter ; Right: Inside3_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn4 used) 4 Dig+1 fractaldig_border3 ; Altnat: Left: 1_Lake effect enabled (Inside3 disabled) ; Right: 2 Digit_Frequency 2 Digit_Waterlevel 2 Digit_Amplitude ; le=0 z=pixel da=real(p2) dd=trunc(da) da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=d>1 sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=d>1 sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=d>1 sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=dd==2 sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) ex0=d>4 da=da-d*10000 d=d-5*ex0 dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) tt=ex1+ex0+ex2+ex3+ex4 ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/100000) ba3=da-100000*ba2 ; d=imag(p3) sfac=trunc(d) da=(d-sfac)*100000000000 ba4=trunc(da/1000000) ba5=da-ba4*1000000 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; if (mi3==1) d=(ba-mi3)*1000000 fr=round((trunc(d/10000))*10) ;lake effect by S.Gallet d=d-fr*1000 lv=(trunc(d/100))/100 d=d-lv*10000 am=d/100 u=real(rotskew*pi/180) t=exp(-flip(u)) bo=1/real(magxmag) q=bo/0.75*imag(magxmag) dd=tan(imag(rotskew*pi/180)) da=2*q*t rs=2*bo*(dd+flip(1))*t zz=center+(-q-bo*dd-flip(bo))*t z=z-zz d=imag(conj(da)*z)/imag(conj(da)*rs) le=d<=lv if (le) dd=lv-d z=z+2*dd*(1+am*sin(fr*dd^0.2))*rs endif z=z+zz else da=(ba-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=d==3 fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 endif ; if (vb) if (d3) if (ab) z=z*le+pixel*(le==0) ;Spider c=p1 else z=z*le+pixel*(le==0) c=p1 ;newton endif elseif (ab) c=z ;Phoenix z=z*le+pixel*(le==0) else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) c=p1 ;Julia z=z*le+pixel*(le==0) else ;bees c=p1 z=z*le+pixel*(le==0) endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=z*le+pixel*(le==0) endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=z*le+pixel*(le==0) cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) z=z*z+c ;Spiderjul John Horner c=c*sp+z else z1=z^p-1 ;Quasinewton Puskas Istvan z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix Mike Wareman zold=z z=z1 else z2=fn1(z)+c ;Many_mods Linda Allison z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) z2=z*z ;Julia Puskas Istvan z=z2*z2+p6*z2+c-p0 else z1=fn1(z)-cb ;Bees Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel Puskas Istvan z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant Mike Wareman z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba }

1 0

[fractint] Playground - Images and Music
by Albrechtx 26 Oct '13

26 Oct '13

HI, this is the "Playground" image, another one to play the game of zooming. Not quite as many as the "Circles", but good images. The total view (not shown here) is quite unique: an endless band of quadratic images and three main images in the center. Please listen to the music, I think it´s worth it: Two guitarists playing ying-yang style. The MP3 quality is the best possible: 320KB High Quality Dual Channel. : The images are in 1280/1024 resolution suitable for a wide screen monitor. The link is for a folder containing all images. : https://www.dropbox.com/s/sdme4wfebs14g6v/Playground.mp3 https://www.dropbox.com/sh/ybfjea1svuis47e/fyAx6iJrO- : Albrecht : START PARAMETER FILE======================================================= Playground1 { ; Playground almost total view ; ; Time 0.04.7.60 1280/1024 ; Fractint Version 2004 Patchlevel 11 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.16117823084441430/+0.00000000000000025/77.51936 params=-0.05825983458967864/0.3785210730307932/35187.64595767025/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000N0B<2>A08004000<26>000<4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX\ 0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkamm\ cpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<6>220220220<3>1\ 10000110<2>000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<\ 8>R0C } Playground5 { ; Playground Zoom1 ; ; Time 0.06.62.49 1280/1024 ; reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-10.9833/5.32907e-015/0.4252949 params=-0.05825983458967864/0.3785210730307932/35187.64595767025/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<8>000000000<3>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0\ NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm\ <3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<6>220220220<3>110000110<2\ >000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0\ C<3>A08004000<16>000 } Playground7 { ; Playground Zoom3 ; Insect or Spaceship? ; Time 0.01.38.97 1280/1024 ; reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-8.75278/0.0123289/3.780534/1/90/-1.23373533611470521e-014 params=-0.05825983458967864/0.3785210730307932/35187.64595767025/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<8>000000000<3>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0\ NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm\ <3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<6>220220220<3>110000110<2\ >000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0\ C<3>A08004000<16>000 } Playground8 { ; Playground Zoom4 ; Hybrid Sierpinski ; Time 0.01.37.44 1280/1024 ; reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-8.77760640959148100/-0.00007987677345293/181.7564/1/90/3.885\ 78058618804789e-016 params=-0.05825983458967864/0.3785210730307932/35187.64595767025/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<8>000000000<3>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0\ NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm\ <3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<6>220220220<3>110000110<2\ >000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0\ C<3>A08004000<16>000 } Playground10 { ; Playground Zoom5 ; Used for generating fractal music ; Time 0.02.03.25 1280/1024 reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-8.77858523660772900/-0.00007987677345293/649.1301/1/90/3.885\ 78058618804789e-016 params=-0.05825983458967864/0.3785210730307932/35187.64595767025/14235.4\ 911030602/152048.0404808048/384.1604894048/384.00482000595/256.100768300\ 1/512.1007683001/768.1007683001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<8>000000000<3>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0\ NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm\ <3>mhZjdVfaS<3>VMCRI8OE4KA0000<43>000<4>000330<6>220220220<3>110000110<2\ >000KA4<7>gcOjgRmjT<3>zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0\ C<3>A08004000<16>000 } frm:multifractal_10 { ; Albrecht Niekamp Jan2005 ;RP2 Left: 5 Digits_Channel:1_main 2_outside 3_inside1 4_inside2 5_inside3 ; Frms: 0_off 1_Sec 2_Mand(2) 3_Bees 4_Jul 5_Mmod 6_Phoen 7_Newt 8_Spid ; Right: 2 Digits_MMods_Number of sides 2 Dig_Phoenix 2 Dig_Spider ; 1 Dig_TransReset_main :0_no 1_dblmand 2_Iter-res 3_both +5_warp ; 4 Dig_TransReset_Ch2-5:0_no 1_z-reset 2_Iter-res 3_both +5_warp ;IP2 Left: 5 Digits_Bailout Number for Channels 1 to 5 ; Right: Variab: 4 Digits_Mand/Jul(2 var) 2 Digits_Secant 4 Digits_Bees ;RP3 Left: 2 Digits_Newtonvariable 4 Digits_Colour1 ; Right: 5 Digits_Colour2 5 Digits_Colour3 ;IP3 Left: Main: 5 Digits_Warp-factor (fn1 is used) ; Right: 5 Digits_Colour4 6 Digits_Colour5 ;RP4 Left: Outside: 5 Digits_Warp-factor (fn2 is used) ; Right: Outside: 4 Dig+1 fractaldig_bord-out 4 Dig+1 fractaldig_bord-in ;IP4 Left: Inside1_Maxiter ; Right: Inside1_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn2 used) 4 Dig+1 fractaldig_border1 ;RP5 Left: Inside2_Maxiter ; Right: Inside2_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn3 used) 4 Dig+1 fractaldig_border2 ;IP5 Left: Inside3_Maxiter ; Right: Inside3_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn4 used) 4 Dig+1 fractaldig_border3 ; Altnat: Left: 1_Lake effect enabled (Inside3 disabled) ; Right: 2 Digit_Frequency 2 Digit_Waterlevel 2 Digit_Amplitude ; le=0 z=pixel da=real(p2) dd=trunc(da) da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=d>1 sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=d>1 sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=d>1 sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=dd==2 sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) ex0=d>4 da=da-d*10000 d=d-5*ex0 dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) tt=ex1+ex0+ex2+ex3+ex4 ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/100000) ba3=da-100000*ba2 ; d=imag(p3) sfac=trunc(d) da=(d-sfac)*100000000000 ba4=trunc(da/1000000) ba5=da-ba4*1000000 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; if (mi3==1) d=(ba-mi3)*1000000 fr=round((trunc(d/10000))*10) ;lake effect by S.Gallet d=d-fr*1000 lv=(trunc(d/100))/100 d=d-lv*10000 am=d/100 u=real(rotskew*pi/180) t=exp(-flip(u)) bo=1/real(magxmag) q=bo/0.75*imag(magxmag) dd=tan(imag(rotskew*pi/180)) da=2*q*t rs=2*bo*(dd+flip(1))*t zz=center+(-q-bo*dd-flip(bo))*t z=z-zz d=imag(conj(da)*z)/imag(conj(da)*rs) le=d<=lv if (le) dd=lv-d z=z+2*dd*(1+am*sin(fr*dd^0.2))*rs endif z=z+zz else da=(ba-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=d==3 fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 endif ; if (vb) if (d3) if (ab) z=z*le+pixel*(le==0) ;Spider c=p1 else z=z*le+pixel*(le==0) c=p1 ;newton endif elseif (ab) c=z ;Phoenix z=z*le+pixel*(le==0) else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) c=p1 ;Julia z=z*le+pixel*(le==0) else ;bees c=p1 z=z*le+pixel*(le==0) endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=z*le+pixel*(le==0) endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=z*le+pixel*(le==0) cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) z=z*z+c ;Spiderjul John Horner c=c*sp+z else z1=z^p-1 ;Quasinewton Puskas Istvan z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix Mike Wareman zold=z z=z1 else z2=fn1(z)+c ;Many_mods Linda Allison z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) z2=z*z ;Julia Puskas Istvan z=z2*z2+p6*z2+c-p0 else z1=fn1(z)-cb ;Bees Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel Puskas Istvan z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant Mike Wareman z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba }

1 0

Rotating the Zoombox Problem
by Albrechtx 26 Oct '13

26 Oct '13

I used to rotate the zoombox using the ctr-pos1 or ctr end keys but that doesn´t work anymore probably as I have a 16/9 screen. Found out that it´s still possible with a trackball or mouse using the right button and straight left or right movement but that´s not reliable as all other zoombox functions are supplied and you might loose the image. Question: which keys can do the job?? Grateful for any help Albrecht

2 2

Circles Zooms
by Albrechtx 26 Oct '13

26 Oct '13

HI, got a message from someone who apparently got mad about all the treasures hidden in the "Circles" image. So here´s some more stuff of the "other" kind - a surrealistic Christmas tree and two abstract dishes for the dinner. The images have been added to the folder and the link remains valid. : Jack how about an animation, maybe more a travel then a deep zoom? Possibly even using my music done with "Circles". If you want I´ll supply the midi or wav edition. : The images are in 1280/1024 resolution suitable for a wide screen monitor. The link is for a folder containing all images. : https://www.dropbox.com/s/kw95x8d8ba9hvhq/Circles.mp3 https://www.dropbox.com/sh/nzy2kvaqy7qb85t/6vxVxVChip : Albrecht : START PARAMETER FILE======================================================= Circles11 { ; Surrealistic Christmas Tree ; time 0.08.17.19 1280/1024 ; newt-phoen-mmods-bees-sec reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.14195019289124690/-0.19196588078239110/100.8087/1/37.50000\ 00000000497/-6.3227201252402665e-014 params=-0.05825983458967864/0.3785210730307932/76531.07595702022/14235.4\ 911030602/150512.0404808048/384.3204896048/384.00482000595/128.200000859\ 1/256.2000004001/512.3000008001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<3>000000000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3\ >zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<\ 4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<11>\ 2TG2RE3OC<2>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<4\ 2>000 } Circles13 { ; Abstract Dish2 ; time 0.01.48.80 1280/1024 ; newt-phoen-mmods-bees-sec reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.13787075308815110/-0.18765509604803590/4064.869/1/-62.5000\ 000000003624/2.86288354134356382e-012 params=-0.05825983458967864/0.3785210730307932/76531.07595702022/14235.4\ 911030602/150512.0404808048/384.3204896048/384.00482000595/128.200000859\ 1/256.2000004001/512.3000008001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<3>000000000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3\ >zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<\ 4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<11>\ 2TG2RE3OC<2>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<4\ 2>000 } Circles12 { ; Abstract Dish ; time 0.13.15.49 1280/1024 ; newt-phoen-mmods-bees-sec reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.13487887367312550/-0.19593702408928510/5215.684/1/37.49999\ 99999986429/2.90105439670895748e-012 params=-0.05825983458967864/0.3785210730307932/76531.07595702022/14235.4\ 911030602/150512.0404808048/384.3204896048/384.00482000595/128.200000859\ 1/256.2000004001/512.3000008001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<3>000000000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3\ >zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<\ 4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<11>\ 2TG2RE3OC<2>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<4\ 2>000 } frm:multifractal_10 { ; Albrecht Niekamp Jan2005 ;RP2 Left: 5 Digits_Channel:1_main 2_outside 3_inside1 4_inside2 5_inside3 ; Frms: 0_off 1_Sec 2_Mand(2) 3_Bees 4_Jul 5_Mmod 6_Phoen 7_Newt 8_Spid ; Right: 2 Digits_MMods_Number of sides 2 Dig_Phoenix 2 Dig_Spider ; 1 Dig_TransReset_main :0_no 1_dblmand 2_Iter-res 3_both +5_warp ; 4 Dig_TransReset_Ch2-5:0_no 1_z-reset 2_Iter-res 3_both +5_warp ;IP2 Left: 5 Digits_Bailout Number for Channels 1 to 5 ; Right: Variab: 4 Digits_Mand/Jul(2 var) 2 Digits_Secant 4 Digits_Bees ;RP3 Left: 2 Digits_Newtonvariable 4 Digits_Colour1 ; Right: 5 Digits_Colour2 5 Digits_Colour3 ;IP3 Left: Main: 5 Digits_Warp-factor (fn1 is used) ; Right: 5 Digits_Colour4 6 Digits_Colour5 ;RP4 Left: Outside: 5 Digits_Warp-factor (fn2 is used) ; Right: Outside: 4 Dig+1 fractaldig_bord-out 4 Dig+1 fractaldig_bord-in ;IP4 Left: Inside1_Maxiter ; Right: Inside1_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn2 used) 4 Dig+1 fractaldig_border1 ;RP5 Left: Inside2_Maxiter ; Right: Inside2_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn3 used) 4 Dig+1 fractaldig_border2 ;IP5 Left: Inside3_Maxiter ; Right: Inside3_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn4 used) 4 Dig+1 fractaldig_border3 ; Altnat: Left: 1_Lake effect enabled (Inside3 disabled) ; Right: 2 Digit_Frequency 2 Digit_Waterlevel 2 Digit_Amplitude ; le=0 z=pixel da=real(p2) dd=trunc(da) da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=d>1 sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=d>1 sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=d>1 sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=dd==2 sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) ex0=d>4 da=da-d*10000 d=d-5*ex0 dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) tt=ex1+ex0+ex2+ex3+ex4 ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/100000) ba3=da-100000*ba2 ; d=imag(p3) sfac=trunc(d) da=(d-sfac)*100000000000 ba4=trunc(da/1000000) ba5=da-ba4*1000000 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; if (mi3==1) d=(ba-mi3)*1000000 fr=round((trunc(d/10000))*10) ;lake effect by S.Gallet d=d-fr*1000 lv=(trunc(d/100))/100 d=d-lv*10000 am=d/100 u=real(rotskew*pi/180) t=exp(-flip(u)) bo=1/real(magxmag) q=bo/0.75*imag(magxmag) dd=tan(imag(rotskew*pi/180)) da=2*q*t rs=2*bo*(dd+flip(1))*t zz=center+(-q-bo*dd-flip(bo))*t z=z-zz d=imag(conj(da)*z)/imag(conj(da)*rs) le=d<=lv if (le) dd=lv-d z=z+2*dd*(1+am*sin(fr*dd^0.2))*rs endif z=z+zz else da=(ba-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=d==3 fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 endif ; if (vb) if (d3) if (ab) z=z*le+pixel*(le==0) ;Spider c=p1 else z=z*le+pixel*(le==0) c=p1 ;newton endif elseif (ab) c=z ;Phoenix z=z*le+pixel*(le==0) else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) c=p1 ;Julia z=z*le+pixel*(le==0) else ;bees c=p1 z=z*le+pixel*(le==0) endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=z*le+pixel*(le==0) endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=z*le+pixel*(le==0) cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) z=z*z+c ;Spiderjul John Horner c=c*sp+z else z1=z^p-1 ;Quasinewton Puskas Istvan z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix Mike Wareman zold=z z=z1 else z2=fn1(z)+c ;Many_mods Linda Allison z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) z2=z*z ;Julia Puskas Istvan z=z2*z2+p6*z2+c-p0 else z1=fn1(z)-cb ;Bees Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel Puskas Istvan z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant Mike Wareman z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba }

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FOTD 25-10-13 (Star of Anchara [A-8,M-6])
by Jim Muth 25 Oct '13

25 Oct '13

FOTD -- October 25, 2013 (Rating A-8,M-6) Fractal visionaries and enthusiasts: In today's image I combined 2 parts of Z^(-2.5) with one part of Z^(-4.5) and added (1/C). The parent fractal that results is a large shapeless open area filled with blobs of debris. Two large irregular rings lie to the west of this open area, which are connected by one of the strangest minibrots, (If a minibrot is what it is.), that I have yet found. Today's scene lies just to the southeast of this 'minibrot', on a filament extending from it. The trip in from the surface or out to it is quite interesting. The name "Star of Anchara" indicates that today's image lies deep inside its parent fractal, just as, according to some fringe groups, the mystic land of Anchara lies deep in the interior of the planet earth. The artistic rating of an 8 shows that extra effort went into the coloring. But the math rating of a 6 shows that, except for the strange minibrot on the parent's surface, little new math interest lies in the image. The calculation time of 1-3/4 seconds will pass in a couple flashes. A visit to the web sites will cut the flashes down to one. To enjoy today's mathematical wonder with a minimum of effort, check the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> and also the sites at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> and <http://user.xmission.com/~legalize/fractals/fotd/about.html> where interesting variations are posted. More clouds than sun, with a temperature of 50F 10C, kept the Halloween feeling quite strong here at Fractal Central today. The fractal cats spent the day testing each other's limits. The new little 1-kg girl, Jasmine, is learning that she must give the older 6-1/2-kg guy, Nicholas, a bit of peace now and then, and the older guy is learning that the newcomer cannot be batted around at will. The fractal humans made sure the fractal cats understood the rules. The next FOTD will probably not be posted until Oct. 27. Until then, take care, and what about bigfoots and other assorted monsters? With all the well-founded reports of sightings, it is impossible, except in the opinions of hard-core skeptics, to shrug off all these reports as delusions of the gullible. At the same time, if such monsters did exist, we would certainly have found some hard evidence such as bodies by this time. And BTW, let's get Sebastien back on the list. He comes up with some pretty good images, and I'm not sure why he quit the list in the first place. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Star_of_Anchara { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-5.167745029628875/-0.1068011145484513/\ 4.572751e+010/1/55/0 params=2/-2.5/1/-4.5/0/0/0/0 float=y maxiter=1250 inside=0 logmap=127 periodicity=6 mathtolerance=0.05/1 colors=0000Iz0Gz0Ew0Ct0Aq08n05k00h00c00Z00U00P00K0\ 0H00E00B005yxzzuCxIblJF`JU`JDZC503KC1H070D5K_4IO0F\ i0O`3IzZCxLDOKDzqzmzzYLCk`B_PCOQDK8n2HJ8IGTFNmwG7k\ jwZQgTLeaHqJAf`BXTCNLDKG5HC8zlzkPzeJzbJuYJoh_yyWRZ\ 9ln7MROK4cJzVMmNPcFS`7VTH`LQeD_k6hpINuan1_rDZuPYx`\ kaUyGOuHJrHFbEVOCiFaU_BVEXPESLDNHGzjFkZEXO`UqVRfPO\ XJLN0Kn7JWWWGRSFMPEHMDgxj_maScUKTL6xKAcG00rtqrZ_YA\ v3Bh7CWAxpghdXTUN9A04TK7QI9OGBLExG`hHTTIL3JrvmIEbB\ DYCDTCDODIksxXu`QZok4WX9P0tM5iJAZGFOZ`RJPWhgMTVHuY\ Ci589ZFJvEGbDhGRTIKli`cbVVWPMPJQA4JF9RGAKIChCyTG`1\ vWAqdBhYC_RDRKSvUFEaUv72Wi8PTdRcYPXRNQKLJM2rHBYIhU\ GaPFWLmPHmEUmGPmHLmIHmQcmMQmqQm_JmnumAtmDimFZmHOm_\ RzTUzGJzHHzIFzPGzSHzPFzMEzx8zmAzzBzzCzz`zzTzzLzzKz\ zHzzFzz3zz7zzAzzjzzZzzOzz1zz5Qz9fzqSzX7zi9zZBzO4zJ\ 7zH9zGBzEqzaczTQzLizwTz_SzhOz`KzTGzLWzpyzSgzP_zMSz\ JKzGqzA_zjUzaOzUIzLWz8RzA } 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 24-10-13 (Carnival of Fractals [A-8,M-6])
by Jim Muth 24 Oct '13

24 Oct '13

FOTD -- October 24, 2013 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's fractal subtracts 0.2 part of Z^3 from Z^2 on each iteration before adding C. The resulting Julibrot has two critical values, one at zero, the other at +3.333... The two values create the same parent fractal -- close to normal Mandelbrot sets that are oriented at 180 degrees from each other. Today's image lies in the parent fractal that results when Z is initialized at +3.333... This parent is the Mandelbrot set rotated 180 degrees. It has an interesting stem extending west from East Valley and another stem extending east from the main bud. Today's scene lies near a larger minibrot on the eastern stem, which is along the positive X-axis and has characteristics of the negative stem of the M-set. The name "Carnival of Fractals" came to me as I was wondering whether to tone down the colors. I finally decided to leave the colors quite brilliant, which seems to work quite well. The art rating of an 8 shows that the image is well worth the 1-3/4 minutes required to calculate it on one of today's fireball units that has not lost the ability to run DOS programs. Those addicted to things like smart phones and apps are out of luck . . . I guess . . . But don't worry, for the web sites are always ready to charge to the rescue and bring enlightenment. The math rating of a 6 shows that nothing new is in the mathematical aspect of the image. So achieve enlightenment, whatever that might be, by viewing different versions of the finished image on the web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A mix of clouds and sun, with more clouds than sun, prevailed here at Fractal Central today, while the temperature of 46F +8C kept the proper pre-Halloween chill in the air. The fractal cats who are now just starting to accept each other, had little time to notice the weather. The newcomer, who we have named Jasmine, (Jazzy for short), is now large enough to leap onto many of the old fractal cat's (Nico's) favorite spots. Nico is not too happy with Jazzy taking over his napping chairs, but he does not seem too angry either. The humans are mostly letting the dynamic duo work things out for themselves, ready of course to intervene if things threaten to get out of control. The next FOTD will most likely be posted in about 24 hours. Until whenever, take care, and the United States, usually referred to as America, is not only the greatest country on earth, but it is always right. And any country that fails to agree had better watch its step. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= CarnivalOfFractals { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+1.655267462218993/+0.00001248433946918\ /2.642538e+010/1/117.5/0 params=1/2/-0.2/3/0/0/0/0 float=y maxiter=1500 inside=0 logmap=-122 periodicity=6 mathtolerance=0.05/1 colors=000K0OJ0MI0KH0IG0GF0EE0BD08B05902600300000m\ rzT7fUFmUOeKGSA8EzKKe6PV4IL3CA16JVkmcmdzYgzzd0KK0K\ 00K85AyXSt2RS1DpWyQGVzgpzzzzzQzCzhzzQ3Lc4GK2821iIe\ zDQz9Kd45nUE3jsN_aVIJFP50I30C20610iHoN8QakuPWaCGJ0\ SA0E5QjdJZUDNK6BAyxKTFEE77dUNUMHKFBA75ypHdZBKH5YCL\ M8EB47t1CtHvAUZ5FH2tW1eO1SG0E85q`3cR2RI1D9hs8sFk`A\ WI5GmyePVLIKXsiA`U6IF3J0AC06603C5E8pl6b_4QO2DCUUXF\ FGAtO6aG3J85aZ3SQ2JH1984SA2E5BtK7aD3J6A7mzzXzzGzzL\ zzEzz7zzvzzgzzTzzEzzdzzpzzQzzzzzVzz6zz4zz3zz2zz1zz\ VzzKzzAzzzzzjzzVzzFzzvzzTzzpzzZzzHzz`zzUzzUzzUzzUz\ zUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzUzzczzczzczzczzc\ zzczzczzczzczzczzczzczzczzczzczzczzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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Circles Images and Music
by Albrechtx 24 Oct '13

24 Oct '13

HI, maybe you have forgotten that zooming is fun, possibly due to lack of possibilities. Here´s your occasion to learn it again. : The Circles image is the best zooming playground I´ve ever seen. You cannot avoid finding new spots where ever you look. Also try zooming out. Including the (almost) total view and four zooms plus the special one I did for the music, which has enhanced colours. : The images are in 1280/1024 resolution suitable for a wide screen monitor. The link is for a folder containing all images. : https://www.dropbox.com/s/kw95x8d8ba9hvhq/Circles.mp3 https://www.dropbox.com/sh/nzy2kvaqy7qb85t/6vxVxVChip : Albrecht : START PARAMETER FILE======================================================= CirclesT { ; Total View ; time 0.10.00.98 1280/1024 ; newt-phoen-mmods-bees-sec reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.0575112/2.64511e-013/2.735546/1/90/-1.23373533611470521e-0\ 14 params=-0.05825983458967864/0.3785210730307932/76531.07595702022/14235.4\ 911030602/150512.0404808048/384.3204896048/384.00482000595/128.200000859\ 1/256.2000004001/512.3000008001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<3>000000000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3\ >zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<\ 4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<11>\ 2TG2RE3OC<2>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<4\ 2>000 } Circles1 { ; Zoom1 ; time 0.02.00.98 1280/1024 ; newt-phoen-mmods-bees-sec reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.05990894428393674/-0.01400875928248982/10942.18/1/90/-1.23\ 373533611470521e-014 params=-0.05825983458967864/0.3785210730307932/76531.07595702022/14235.4\ 911030602/150512.0404808048/384.3204896048/384.00482000595/128.200000859\ 1/256.2000004001/512.3000008001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<3>000000000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3\ >zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<\ 4>000<7>Q0UU0YX0a_0dc0hf0l<2>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2\ oa0wc<10>2WI2TG2RE<3>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE\ 4KA0000<42>000 } Circles2 { ; Zoom2 ; time 0.03.35.42 1280/1024 ; newt-phoen-mmods-bees-sec reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.37511326326760360/+0.00000000000026451/6361.735/1/90/-1.23\ 373533611470521e-014 params=-0.05825983458967864/0.3785210730307932/76531.07595702022/14235.4\ 911030602/150512.0404808048/384.3204896048/384.00482000595/128.200000859\ 1/256.2000004001/512.3000008001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000UOF<3>H85E43A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>0\ 00<4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<\ 11>2TG2RE3OC<2>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA000\ 0<43>000<4>000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3>zzc<8>X\ SI } Circles3 { ; Zoom3 ; time 0.08.02.69 1280/1024 ; newt-phoen-mmods-bees-sec reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.33373420022103740/-0.06039467277261110/1094.218/1/90/3.885\ 78058618804789e-016 params=-0.05825983458967864/0.3785210730307932/76531.07595702022/14235.4\ 911030602/150512.0404808048/384.3204896048/384.00482000595/128.200000859\ 1/256.2000004001/512.3000008001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<3>000000000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3\ >zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<\ 4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<11>\ 2TG2RE3OC<2>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<4\ 2>000 } Circles4 { ; Zoom5 ; time 0.03.02.60 1280/1024 ; newt-phoen-mmods-bees-sec reset=2004 type=formula formulafile=mfr_10.frm formulaname=multifractal_10 function=sin/exp/exp/sin passes=t center-mag=-0.28747488781015190/+0.00000019054378036/10942.18/1/90/3.885\ 78058618804789e-016 params=-0.05825983458967864/0.3785210730307932/76531.07595702022/14235.4\ 911030602/150512.0404808048/384.3204896048/384.00482000595/128.200000859\ 1/256.2000004001/512.3000008001 float=y maxiter=3071 inside=maxiter outside=tdis periodicity=0 rseed=-2436 colors=000<3>000000000330<6>220220220<3>110000110<2>000KA4<7>gcOjgRmjT<3\ >zzc<9>UOFRKDOGA<3>A00<9>f0Ci0Dl0F<3>z0K<6>Z0EV0DR0C<3>A08004000<26>000<\ 4>000<9>X0a_0dc0h<3>p0w<4>_0dX0aU0Y<2>K0NH0JG0NE1R<3>7UX6`Z4h_2oa0wc<11>\ 2TG2RE3OC<2>4G54D36F5<16>kkammcpoe<3>zwm<3>mhZjdVfaS<3>VMCRI8OE4KA0000<4\ 2>000 } frm:multifractal_10 { ; Albrecht Niekamp Jan2005 ;RP2 Left: 5 Digits_Channel:1_main 2_outside 3_inside1 4_inside2 5_inside3 ; Frms: 0_off 1_Sec 2_Mand(2) 3_Bees 4_Jul 5_Mmod 6_Phoen 7_Newt 8_Spid ; Right: 2 Digits_MMods_Number of sides 2 Dig_Phoenix 2 Dig_Spider ; 1 Dig_TransReset_main :0_no 1_dblmand 2_Iter-res 3_both +5_warp ; 4 Dig_TransReset_Ch2-5:0_no 1_z-reset 2_Iter-res 3_both +5_warp ;IP2 Left: 5 Digits_Bailout Number for Channels 1 to 5 ; Right: Variab: 4 Digits_Mand/Jul(2 var) 2 Digits_Secant 4 Digits_Bees ;RP3 Left: 2 Digits_Newtonvariable 4 Digits_Colour1 ; Right: 5 Digits_Colour2 5 Digits_Colour3 ;IP3 Left: Main: 5 Digits_Warp-factor (fn1 is used) ; Right: 5 Digits_Colour4 6 Digits_Colour5 ;RP4 Left: Outside: 5 Digits_Warp-factor (fn2 is used) ; Right: Outside: 4 Dig+1 fractaldig_bord-out 4 Dig+1 fractaldig_bord-in ;IP4 Left: Inside1_Maxiter ; Right: Inside1_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn2 used) 4 Dig+1 fractaldig_border1 ;RP5 Left: Inside2_Maxiter ; Right: Inside2_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn3 used) 4 Dig+1 fractaldig_border2 ;IP5 Left: Inside3_Maxiter ; Right: Inside3_Transition: 1_maxit 2_bordout 3_bordin +5_maxit+bord ; 5 Digits_Warp-factor (fn4 used) 4 Dig+1 fractaldig_border3 ; Altnat: Left: 1_Lake effect enabled (Inside3 disabled) ; Right: 2 Digit_Frequency 2 Digit_Waterlevel 2 Digit_Amplitude ; le=0 z=pixel da=real(p2) dd=trunc(da) da=round((da-dd)*100000000000)+11111 dd=dd+11111 d=trunc(dd/10000) dd=dd-d*10000 d3=(d==4)+(d==5)+(d==8)+(d==9) d4=d3==0 vb=d>5 sc=d==2 mo=d==6 px=d==7 ab=px+(d==3)+(d==5)+(d==9) d=trunc(dd/1000) dd=dd-d*1000 ex1=d>1 sc1=d==2 mo1=d==6 px1=d==7 v1m=mo1+px1 v1j=d>7 dd1=v1j+(d==4)+(d==5) ab1=px1+(d==3)+(d==5)+(d==9) d=trunc(dd/100) dd=dd-d*100 ex2=d>1 sc2=d==2 mo2=d==6 px2=d==7 v2m=mo2+px2 v2j=d>7 dd2=v2j+(d==4)+(d==5) ab2=px2+(d==3)+(d==5)+(d==9) d=trunc(dd/10) ex3=d>1 sc3=d==2 mo3=d==6 px3=d==7 v3m=mo3+px3 v3j=d>7 dd3=v3j+(d==4)+(d==5) ab3=px3+(d==3)+(d==5)+(d==9) d=dd-d*10 ba=imag(p5) mi3=trunc(ba) dd=(d>1)+(mi3>1) ex4=dd==2 sc4=d==2 mo4=d==6 px4=d==7 v4m=mo4+px4 v4j=d>7 dd4=v4j+(d==4)+(d==5) ab4=px4+(d==3)+(d==5)+(d==9) ; mm=trunc(da/1000000000) da=da-mm*1000000000 ph=trunc(da/10000000)/100 da=da-ph*1000000000 sp=trunc(da/100000)/100 da=da-sp*10000000 d=trunc(da/10000) ex0=d>4 da=da-d*10000 d=d-5*ex0 dm=(d==2)+(d==4) ir0=(d==3)+(d==4) d=trunc(da/1000) w1=d>4 da=da-d*1000 d=d-5*w1 rs1=(d==2)+(d==4) ir1=(d==3)+(d==4) d=trunc(da/100) w2=d>4 da=da-d*100 d=d-5*w2 rs2=(d==2)+(d==4) ir2=(d==3)+(d==4) d=trunc(da/10) w3=d>4 da=da-d*10 d=d-5*w3 rs3=(d==2)+(d==4) ir3=(d==3)+(d==4) d=round(da) w4=d>4 d=d-5*w4 rs4=(d==2)+(d==4) tt=ex1+ex0+ex2+ex3+ex4 ; d=real(p3) dd=trunc(d) da=(d-dd)*10000000000 pp=trunc(dd/10000) ba1=dd-10000*pp ba2=trunc(da/100000) ba3=da-100000*ba2 ; d=imag(p3) sfac=trunc(d) da=(d-sfac)*100000000000 ba4=trunc(da/1000000) ba5=da-ba4*1000000 ; d=real(p4) ofac=trunc(d) da=(d-ofac)*10000000000 bh=trunc(da/100000)/10 bl=(da-bh*1000000)/10 bs=bl/2 ; d=imag(p2) t=d<0 if (t) d=-d endif dd=trunc(d) da=round((d-dd)*10000000000) d=trunc(dd/10000) dd=dd-d*10000 bb0=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/1000) dd=dd-d*1000 bb1=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/100) dd=dd-d*100 bb2=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=trunc(dd/10) dd=dd-d*10 bb3=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) d=round(dd) bb4=ba1*(d==1)+ba2*(d==2)+ba3*(d==3)+ba4*(d==4)+ba5*(d==5) ; d=da p0=trunc(d/100000000)/10 d=d-p0*1000000000 p6=trunc(d/1000000)/10 d=d-p6*10000000 if (t) p6=-p6 endif p7=trunc(d/10000)/10 d=d-p7*100000 dp=p6+p0/100 p8=trunc(d/100)/100 d=d-p8*10000 p9=d/100 ; d=imag(p4) mi1=trunc(d) da=(d-mi1)*100000000000 d=trunc(da/10000000000) bt1=d>6 da=da-d*10000000000 d=d-5*bt1 dt1=d>1 iv1=d==3 fac1=trunc(da/100000) da=da-fac1*100000 bo1=(da/100000)/10 ; d=real(p5) mi2=trunc(d) da=(d-mi2)*100000000000 d=trunc(da/10000000000) bt2=d>6 da=da-d*10000000000 d=d-5*bt2 dt2=d>1 iv2=d==3 fac2=trunc(da/100000) da=da-fac2*100000 bo2=(da/100000)/10 ; if (mi3==1) d=(ba-mi3)*1000000 fr=round((trunc(d/10000))*10) ;lake effect by S.Gallet d=d-fr*1000 lv=(trunc(d/100))/100 d=d-lv*10000 am=d/100 u=real(rotskew*pi/180) t=exp(-flip(u)) bo=1/real(magxmag) q=bo/0.75*imag(magxmag) dd=tan(imag(rotskew*pi/180)) da=2*q*t rs=2*bo*(dd+flip(1))*t zz=center+(-q-bo*dd-flip(bo))*t z=z-zz d=imag(conj(da)*z)/imag(conj(da)*rs) le=d<=lv if (le) dd=lv-d z=z+2*dd*(1+am*sin(fr*dd^0.2))*rs endif z=z+zz else da=(ba-mi3)*100000000000 d=trunc(da/10000000000) bt3=d>6 da=da-d*10000000000 d=d-5*bt3 dt3=d>1 iv3=d==3 fac3=trunc(da/100000) da=da-fac3*100000 bo3=(da/100000)/10 endif ; if (vb) if (d3) if (ab) z=z*le+pixel*(le==0) ;Spider c=p1 else z=z*le+pixel*(le==0) c=p1 ;newton endif elseif (ab) c=z ;Phoenix z=z*le+pixel*(le==0) else c=0.4*log(sqr(z^mm)) ;many mods z=0 endif elseif (d3) if (ab) c=p1 ;Julia z=z*le+pixel*(le==0) else ;bees c=p1 z=z*le+pixel*(le==0) endif elseif (ab) c=z ;Mandel z=0 else c=z ;Secant z=z*le+pixel*(le==0) endif t=0 bo=|z| p=pp z0=p7 zold=(0.0,0.0) cb=p9 ba=bb0 : if (tt) t=t+1 if (ex0) ex0=t<mi1 if (bo>bs) u=2*(fn1(t/sfac)) ex0=0 if (ir0) t=0 endif if (d4) z=z*u if (mo) c=0.4*log(sqr(z^mm)) else c=pixel endif else z=z*le+pixel*(le==0) cb=p9*u c=p1*u p=pp*u endif tt=tt-1+ex0 endif elseif ((ex1)&&bo>bl) if (bo<bh) d3=dd1 ba=bb1 ab=ab1 ex1=0 tt=tt-1 if (w1) u=2*(fn2(t/ofac)) else u=1,0 endif if (ir1) t=0 endif if (d3) vb=v1j if (rs1) z=pixel cb=p9*u c=p1*u p=pp*u else c=p1 z=z*u cb=p9 endif else vb=v1m if (rs1) c=z*u z=pixel*(sc1+px1) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo1) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex2) if (dt1) if (iv1) d=bo>bo1 else d=bo<bo1 endif if (bt1) d=d+(t>mi1) endif else d=t>mi1 endif if (d) ab=ab2 d3=dd2 ba=bb2 ex2=0 tt=tt-1 if (w2) u=2*(fn2(t/fac1)) else u=1,0 endif if (ir2) t=0 endif if (d3) vb=v2j if (rs2) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v2m if (rs2) c=z*u z=pixel*(sc2+px2) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo2) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex3) if (dt2) if (iv2) d=bo>bo2 else d=bo<bo2 endif if (bt2) d=d+(t>mi2) endif else d=t>mi2 endif if (d) ab=ab3 d3=dd3 ba=bb3 ex3=0 tt=tt-1 if (w3) u=2*(fn3(t/fac2)) else u=1,0 endif if (ir3) t=0 endif if (d3) vb=v3j if (rs3) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v3m if (rs3) c=z*u z=pixel*(sc3+px3) z0=p7*u ph=ph*u else c=z z=z*u endif vb=v3m if (mo3) c=0.4*log(sqr(z^mm)) endif endif endif elseif (ex4) if (dt3) if (iv3) d=bo>bo3 else d=bo<bo3 endif if (bt3) d=d+(t>mi3) endif else d=t>mi3 endif if (d) ab=ab4 d3=dd4 ba=bb4 ex4=0 tt=0 if (w4) u=2*(fn4(t/fac3)) else u=1,0 endif if (d3) vb=v4j if (rs4) z=pixel cb=p9*u c=p1*u p=pp*u else cb=p9 c=p1 z=z*u endif else vb=v4m if (rs4) c=z*u z=pixel*(sc4+px4) z0=p7*u ph=ph*u else c=z z=z*u endif if (mo4) c=0.4*log(sqr(z^mm)) endif endif endif endif endif if (vb) if (d3) if (ab) z=z*z+c ;Spiderjul John Horner c=c*sp+z else z1=z^p-1 ;Quasinewton Puskas Istvan z2=p*z*z z=z-z1/z2 endif elseif (ab) z1=z*z+0.56+ph/100-0.5*zold ;Phoenix Mike Wareman zold=z z=z1 else z2=fn1(z)+c ;Many_mods Linda Allison z1=cos(z2) z=c*(1-z1)/(1+z1) endif elseif (d3) if (ab) z2=z*z ;Julia Puskas Istvan z=z2*z2+p6*z2+c-p0 else z1=fn1(z)-cb ;Bees Ray Girvan z2=z1^p8-1 z3=p8*(z1^(p8-1)) z=z-(z2/z3) endif elseif (ab) if (dm) z=z*z+c+c*c-dp ;Double Mandel else z2=z*z ;Mandel Puskas Istvan z=z2*z2+p6*z2+c-p0 endif else z3=z ;Secant Mike Wareman z1=z0*z0*z0*z0-1 z2=z*z*z*z-1 z=z-z2*(z-z0)/(z2-z1) z0=z3 endif bo=|z| bo<ba }

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FOTD 23-10-13 (Strange Goings-On [A-8,M-6])
by Jim Muth 23 Oct '13

23 Oct '13

FOTD -- October 23, 2013 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image mixes together various portions of Z^2, Z^3, Z^4, and Z^5. This combination produces a Julibrot with a major critical value of zero and a minor critical value of -2.499... The major critical value produces the parent fractal of today's image -- a Mandeloid with two large wings sprouting from its East Valley. The minor critical value produces a small remote Mandelbrot set lying well west of the default screen, with little of interest in it. Today's image consists of both inside and outside stuff. The greenish outside stuff was rendered with the outside option set to 'tdis'. The inside stuff is colored a lumpy purple, and was rendered with the inside set to 'fmod'. I named the image "Strange Goings-On". My reason was that all fractals certainly are strange. Due to my extra coloring efforts, the art value rates a 9. The math rating remains a 6. The calculation time of 4 minutes is rather slow. Checking the finished images on the web sites is recommended. Different versions of the finished image are online at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Lots of clouds with a chilly temperature of 48F +9C made today feel more like November than October here at Fractal Central. The fractal cats, who are still getting to know each other, gave no attention to the outside conditions. The fractal humans did what needed to be done, while keeping an eye on the cats. The next FOTD will be posted soon. Check back in 24 hours to see if 'soon' means 'the next day'. Until next time, take care, and 125 years ago we thought we had discovered all there was to be discovered in the field of physics. What happened since then? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Strange_Goings-On { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=+0.432885627623874/-0.04345618858187475\ /1.324159e+010/1/115/-0 params=1/2/-0.67/3/0.5/4/\ 0.25/5/0/0 float=y maxiter=1500 inside=fmod proximity=0.3 outside=tdis logmap=yes symmetry=none periodicity=6 mathtolerance=0.05/1 colors=000TIySKuSMqROmRQjQNiPKhPIgOFfODeNAdN8cMCbL\ FaKJ`JM`IQ_HTZGXYF_YGUSHPNHKIHECG97E62MB4TH6_R8f`A\ miCsqEyzUghPQSZ9C0AE0BA0CA0DzzEzzFzzFzzDzzBzzAzzzI\ zzIzzIzzHzzGzzGzzISzJqzKrzLszLszMtzNuzOvzOvzQrzRoz\ TlzUizVezXbzY_zZXz_Sz`NzaIzbDzb9zbIzbQzaSz`Tz`VzcW\ zcXzcWzcVzcVzcUzcUzcVzcWzcXzcdzckzcazcTzcUzcVzTVzV\ WzXXzZXz`_zbbzcdzegzgjzhlzjozkqzhkzffzc`zaWz_RzXLz\ VGzTBzMMzGXz9gz3rz7mzAhzDczGZzJUzMPzJSzHUhEXgCZeAa\ d7cb5fa3h`7e`Bc`Ea`I__MX_PV_TT_WRXXSChuAgyGbtLYpQT\ kWOg`Jb4Et4Cv4BwJKyMe_OzAPrJQkSRc_SXhTPq000EVb9Xe4\ Yg5ab6eZ7hU8lQ9oLAsHAvDBoHBhLBbOBWSBPWBJZBCbB6eAAc\ 9Eb9HaPFfZDjhCnrIrzJzrGom9hc6aU5VI4OA3H9HD9UA9g69t\ 3Dp6Gl8JhBMeDPaFSYIVUKYRMLOT8LZ8OY9QY9TXAWWAYWB`VB\ cUMfuKeqIemHei`GG_IBZK6mTBpT9sT7dVPtbWUbe3boC`nLZn\ UXnbVmkTmsSmmPlgNkaKkWIjQFjKDiFBiMGjSKkZOldSm_YhVb\ cRg_QbYQZWPVVPQTOMRPSXJU_ } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 22-10-13 (Totally Torus [A-7,M-6])
by Jim Muth 22 Oct '13

22 Oct '13

FOTD -- October 22, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: In today's image we return to the workhorse MandAutoCritInZ formula, which automatically initializes Z to a critical value of the iterated expression, thereby eliminating the need of tracking down critical values by hand, as is necessary with the MandelbrotMix3a formula. Today's parent fractal came about when I mixed 3.3 negative parts of Z^(-1.3) with one negative part of Z^(-5.3) before adding (1/C) on each iteration. This parent is a typical oversized double-negative fractal with three large, vertically stacked bays and a prominent, nearly circular, fractal fan extending east. A very prominent minibrot lies just beyond this fan, connecting it to a large ring farther to the east. Today's scene lies rather deep in the East Valley of this minibrot. I named the image "Totally Torus" when I viewed it from a distance and the brilliant pinkish ring around the central minibrot impressed me as a torus. Mostly because of the brilliance of this ring I rated the art aspect a 7. The math aspect remains a 6. The image is a relatively slow one, requiring almost six minutes to complete on one of today's super fireball machines. The time will be notably longer on an older unit. Viewing the image on one of the FOTD web sites will eliminate the delay. Avoid frustration as well as the nuisance of calculation by checking the finished image and variations on the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Morning clouds gave way to sun later in the afternoon here at Fractal Central today. The temperature reached a high of 59F 15C early in the afternoon, but began falling as the day progressed. The old fractal cat spent the day being annoyed by the playful antics of the new fractal cat, who amused herself playing with the old cat's tail, while the fractal humans kept an eye on the action. The next FOTD will appear when it is ready. To find out when it will be ready, check back frequently. Until this moment of fractal revelation arrives, take care, and don't arouse the wrath of God, who apparently shares the emotional weaknesses He condemns in His creations, such as anger. And I have always wondered -- if God made the universe, where did God come from? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Totally_Torus { ; time=0:05:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+6.677912749065/-0.59652070897284/90070\ 36/1/41/0 params=-3.3/-1.3/-1/-5.3/0/0/0/0 float=y maxiter=2800 inside=0 logmap=-463 periodicity=6 colors=000KKcc3UROKD1AATZ6ac3PK5F85JIZZZXXZMMNLBBZ\ iFWKWg4tX3eM2SB1E3mm1AP6sr3LR3OV2IN1CF067Fo9Bb67Q4\ 3D2f6YW4PL3HA18pQ2bJ1QD1D60q9LzzzF7jB5Z73OEFQLQRSa\ SYlThUisBzhAyZ9xP8wF8wqpzpu_pyA_g8KQ74962PP1GG088L\ rWzozzjqxVjuBkjAZV0CX2j9Ca46JdTVULNKEFA77Diy6NVsXx\ bh5JM2xSAhL7UE5F72vHHbBBJ55SgWzzz1zzhqqcnRZcFWKBDA\ 7653IFF957qFRcAKR5DD06sD6S43on9b`6QN4D926JK4BD236_\ PK2PejaiNGNzN4jG3V92F21c`SKGE`qPOYGCE89R16U03U0RUr\ KUdDUR6ZDIcEDZA9Z74Z3VZ8FZ4JZKCZD6Z65Zz2ZVUZCMZ9FZ\ 67Z3PZ`GZO8ZCYZuPZfHZT8ZEjZWVZLFZAfZwPhAGh68h3Ch56\ h94h63h41h2nhvPhT4ht2ha1hJVhwjhEVh9Kcz9cz7cz6czHcz\ SczzczzczoczSczVczIczeczqczTczmczhmzzmz3mzzmzVmzem\ znmzamzPmzCmzwmzUmzFmzymzimzVmzFzzvzzgzzTzzEzzLzzF\ zzAzz5zzmzzXzzGzzTzzJzz9zzKzzFzzAzz5zzfzzWzzLzzAzz\ SzzIzz9zzszzSzzvzzozzYzzHzzUzzFzzwzzUzzVzzFzzxzzUz\ zPzz1zz0zz0zzXzzMzzBzzSzz } 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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Fractal Music - Evening_Song
by Albrechtx 22 Oct '13

22 Oct '13

HI, this is a new song with a doubleneck guitar in the center. The image is a zoom into the total view of yesterdays image. It is a circular image done with multifrac_239, you should have it in your frm folder. The scale is the pentatonic Pelog again. : As the name indicates this is relaxed music although the fractal rhythm is present all the time. The IFS is Swirl5 again. : Albrecht : https://www.dropbox.com/s/3vubr2p7hwh58kn/Evening_Song.mp3 https://www.dropbox.com/s/lzqdn6xhxoofjlm/MUS3Z4.bmp https://www.dropbox.com/s/e8kz1b0nlwvbhaj/Swirl5.gif

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FOTD 21-10-13 (The Cleansing Fire [A-7.5,M-6])
by Jim Muth 21 Oct '13

21 Oct '13

FOTD -- October 21, 2013 (Rating A-7.5,M-6) Fractal visionaries and enthusiasts: Today's parent fractal was created by combining various parts of Z^(-1.5), Z, Z^(-0.5) and Z^(2). This combination has a critical value of 0.563... and also a second critical value that I have not yet tracked down. The parent is a slightly distorted Mandelbrot set surrounded mostly on the west by a large field of debris filled with holes and minibrots of various sizes and shapes. Today's scene ignores this outlying debris however and centers on the East Valley of the parent, where the debris converges and vanishes into the depths. The art rating of 7.5 is largely due to my semi-skilled coloring efforts. I actually did put almost an hour into the colors. The math rating remains an average 6. By this time, the trick of finding critical values graphically is old news, though I have just begun to explore the basically endless world of four-exponent fractals. The name "The Cleansing Fire" has no connection to the catholic idea of purgatory. In fact, it has no connection to the image. It simply came into my head when I emptied it of everything else. But it does get attention, so it will remain. The calculation time of 2-3/4 minutes is rather slow. The more impatient fractalists, who were not around when fractals sometimes took days to finish on snail-speed computers, can avoid the wait by checking the web sites. The completed image is or soon will be posted on these FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> After the early morning fog cleared off, the day turned out sunny here at Fractal Central, while the temperature of 64F 18C was quite pleasant for October. The older fractal cat enjoyed the sun on his shelf; the new fractal kitten was too busy exploring her new surroundings and playing. The humans watched to see how the new fractal duo was getting along together. The next FOTD will be posted in a day or two. Until the time comes, take care, and they say God works in mysterious ways. I say He should stop hiding His reasons, and get it all out into the open. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Cleansing_Fire { ; time=0:02:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=-0.405066119028073/-0.02505940464620183\ /1.175568e+012/1/14.5/0 params=0.1/-1.5/0.2/1/0.4/\ -0.5/0.8/2/0.563590420488/0 float=y periodicity=6 inside=0 logmap=124 maxiter=1200 mathtolerance=/1 colors=000ffeaa`YYXUUTOONJJIFFDBBBOj9Mh7Kf5Id5Gb5E\ `5AZ46X44V33T33N22I22E1191140000zpHwmGtjFqgEncDi`C\ eZCcWB_UAWS9TP8QN8OL7LI6IG5GE4DB4A93872541000LrzJn\ zKjiPecUa_ZXWcSShNOcJKrFGvKCzP8zU4zZKzcIUYHSWGQTFO\ REMPCKMBIKAGI9EG8CD7AB58946634422214en3Xc2PU1GK08A\ EiEDgDCeCCcCBaBA_AAYA9W99U98S87Q77O7HLQFJNEHKCFIAD\ F8BD79A577355132020o3Tj2Qf2Ob2LY2JU1GP0FL0CH09D078\ 044023WL2UJ2SI2QH2OF2ME1KD1IB1GA1E91C70A6Z85Z63Z42\ Z21cK2cH1cF1cD1cB1c80c60c40c20cTTcRRcQQmOOmNNmMMmK\ KmJJmHHmGGmFFmDDmCCmBBm99m88m66m55m44m22m11mfFmWBm\ L7mA3z82z71z71z61z61z51z51z41z41z30z30z20z20z10z10\ z00zTjzQfzObzM_zKWzHSzFPzDLzBIz8EzUAzU7zc3zcBzc9zm\ 7zm6zm4zm3zm1mm1hm0cm0ZmzUmzPrzKz0Fz0Az03z0RzzPzzO\ zzNzzMzzKzzJzzIzzHzzFzzEzzDzzCzLBzJ9zH8zE7zz6zz4zz\ 3zz2zz1zzWzzUzzTzzRzzQzzOzzNz6Lz6Kz5Iz5Hz4Gz4Ez4Dz\ 3Bz3Az28z27z25z14z12z01z0 } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 20-10-13 (A New World Coming [A-6,M-6])
by Jim Muth 21 Oct '13

21 Oct '13

FOTD -- October 20, 2013 (Rating A-6,M-6) Fractal visionaries and enthusiasts: Today's image is found in the parent fractal that results from combining various parts of Z, Z^2, Z^3 and Z^4, a combination that has a critical value of Z^-1.211... This parent is shaped like a near circular Mandelbrot main bay with a main negative spike and two prominent 'wing-bays' sprouting from its East Valley area. Today's scene is found in a valley in a bay on the belly of a strange duck-shaped minibrot that lies on a filament extending from the large bud on the northwest edge of the main bay of the parent Mandeloid. The rating of both the art and math is an everyday 6. The fractals in which four different exponents of Z are combined on each iteration tend to be too chaotic for the best fractal art. I will continue exploring them however, since I know what surprises can lie in fractals, where even the impossible sometimes happens. The current math trick, which finds a critical value graphically, is getting to be 'old hat' and no longer earns any extra rating. The name "A New World Coming" might be an idle thought, a promise, or even a warning. Whatever it means, it has little to do with the appearance of today's image. The calculation time of 4-1/4 minutes has everything to do with the image. it is the approximate time that will elapse between hitting the 'enter' key and seeing the finished image on the screen. It's best to eliminate the wait by checking the web sites. The finished image is already posted or soon will be posted on the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Mostly sunny but chilly weather prevailed here at Fractal Central today. The temperature of 57F 14C felt just about right for late October. At least the fractal cat had no complaints, but then he is still getting used to the new kitten arrival. Meanwhile, the humans had other things in mind to keep them occupied. The next FOTD will in all likelihood be posted in 24 hours or so. Until that glorious time arrives, take care, and it seems that no two people can agree on politics. Why then can't we have a political party for every individual person in the country? If we did, everyone would be in full agreement with their party's platform, and there would be no squabbling at all. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_New_World_Coming { ; time=0:04:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident center-mag=-1.267450545352012/+0.9785270648333529/\ 5401955/1/72.5/0 params=0.1/4/0.2/3/0.4/2/0.8/1/\ -1.211659178054/0 float=y maxiter=2750 inside=0 logmap=276 periodicity=6 colors=00041951A61B72D82E93FA3HB4IC4JD5KE5NF6PG7RH\ 8TI9VJAXKBZLC`MDbNEdOFePGfQHfRIgSJhTLhUOiVRjWTjaLn\ gDrlKvpUgtcTwiErnEnpEmuEmzEmzEmzEmzEmxEmwEmwEmvEmu\ EiwEesDapDYmCUiCQfCMcBIcBEcAAcA6hA6m96q96u97lM8gZ8\ jkFfkMbkTZkW_hY`e_`baa`caYfbVhbSjcQlcNndKqdHseFueC\ wf9yf7se8nm8im9dm9_mAVmASmRPmgImcBm`HmUMmOSmIXmCam\ 6dmEXmeZpgasicvkeymgvlhtkiqjjoikliljhmggnefobep`eq\ caqeYqgUqjQqlMqnIqqEqsAqu7nvElvLivSgvZdwebwl_wsYwy\ WusVtnUriSqcRoZQnUPlPNkJMiELe9Kb4O_8RXBVUEYZH`cKfh\ NkmUprcuvmzzzzuozodzhVzdOz`LzXJzTHzPFzLDzHAzDCz9Fz\ 5Kz2Py4Ux6Zw8cv9hmLmhLrcLvZLzZEnU7hc0c_2fX3iU4kR6n\ O7qL8sWMWRczLHGX2R_2Pb2Ne2Lg2Kj2Im2Go2FmIOlYWklcif\ fgaieWkcRnaLq_GsYNqTTkOYfKbaFhXAmS6rN9mHCmCFr6Hv1L\ z8PzFTzMXzSZzf`zuZzvYzwWzxVzxzz`zzDzzYzzazzezzizze\ zzbzz_zzXzzUzzRzzOzzTzzXzz`fzebzi_zmaz_czMdz8bzjdz\ lfzmhznizodz2`z9XzGTzNPzU } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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Fractal Music
by Albrecht Niekamp 21 Oct '13

21 Oct '13

HI, although not being a registered member anymore I would like to present one of my latest musical creations: Pelog_Rock. The name is taken from the pentatonic Gamelan scale used. The music was created by an automatic algorithm scanning the "Springtime" image which came about in the preliminary stages of my multifractal project. For scanning the phantastic Swirl5.IFS shown in Fractint was used. : Albrecht : https://www.dropbox.com/s/2phqpwq5jgw56d0/Pelog_Rock.mp3 https://www.dropbox.com/s/mbzs7aq8jupaw1d/springtime.bmp https://www.dropbox.com/s/e8kz1b0nlwvbhaj/Swirl5.gif

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My versions of Jim Muth's FOTDs & their parent fractals for Oct 13 - 16 are up.
by Hal Lane 19 Oct '13

19 Oct '13

My versions of Jim Muth's FOTDs and my investigations into their parent fractals for October 13 - 16, 2013 are on my site now. Please use this link to keep my counters up to date -- thanks: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html - Hal Lane ######################## # hallane(a)earthlink.net ######################## --- This email is free from viruses and malware because avast! Antivirus protection is active. http://www.avast.com

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FOTD 18-10-13 (First Light From Vega [A-7,M-6])
by Jim Muth 18 Oct '13

18 Oct '13

FOTD -- October 18, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's fractal lies in the same parent fractal as yesterday's. To find today's image, I checked a filament in the East Valley area of the obvious minibrot just north of the main body of the parent instead of yesterday's tiny spike on the positive X-axis. What I found near the minibrot is mostly typical East Valley features, but with enough extra decorations to make a deeper view worth the effort. I eventually settled on a tiny minibrot -- the one that appears at the center of today's image. I colored the scene to give the appearance of a series of ridges surrounding the minibrot, but unfortunately, the coloring is not enough to raise the art rating above a merely adequate 7. Since we have been on the same math theme for a couple weeks, the math rating is only a 6. The name "First Light From Vega" has no relation to the image. It is the name of a long forgotten drawing I did many years ago. I have no idea why the name popped into my head today, but it sounds kind of arty, so this will be the name of today's fractal. The calculation time of 4-1/4 minutes borders on being unacceptably slow, but is still within reason for those with fast machines that can do DOS. Visiting the web sites will make the task of viewing the image simpler and faster however. The finished image is posted on the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A cloudy morning gave way to a mostly sunny afternoon here at Fractal Central today, with a seasonal temperature of 61F 16C. The fractal cat, Nicholas, was more interested in the new arrival, an all-black little girl named Jasmine, than in the outside conditions. He considers the 7-week-old an unwanted newcomer, and lets her know who is boss with occasional apparently harmless hisses and growls. The newcomer is still frightened of the oversized resident fractal cat with the foul mouth, but when the big guy is out of sight, she is quite eager to explore her new surroundings. It will take some time for them to grow accustomed to each other's behavior. Other than keeping an eye on the fractal cat situation, the fractal humans had an uneventful day. We're taking a trip back to Old Fractal Central tomorrow, so the next FOTD will not be posted until at least October 20. Until the next FOTD time actually arrives, whenever that might be, take care, and most people agree that something is wrong with the direction in which our culture is taking the world. Now let's try to agree on exactly what is wrong with us and our culture, and what if anything might be done about it. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= FirstLightFromVega { ; time=0:04:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=+0.4566637948436287/+2.124420312062973/\ 8.337e+011/1/72.5/0 params=0.5/1/0.5/-1/0.5/2/0.25\ /3/-1.176222776541/0 float=y maxiter=1750 inside=0 logmap=189 periodicity=6 mathtolerance=0.05/1 colors=000G00F00E00D00C00B10A209308407506505504503\ 50250150050msIhrCcq6ZpKUoMQlJMgGKbDJZBHU8FP5DK2CF0\ BA0A00900800700600zzzzz0qw0kt0iqEbmBWf8Pc5Ib`UbbR_\ XOWRMRMJNGHJBEF5CB4A73842601400200000rTOkRKePH_NDU\ KAOF6IC3835A54A73A83DA2GC1FD1DF0mj6ge5ba4XX3ST2MO1\ HK0w9eoBZgCS_DLSEEKF7BgdCcZC_TCWNCSHCOBCK5A_XBXSBV\ OBSKBQGCNCCL8CI4B9yoG1aG0PG0TJVQIPNIKKHFHHAEG5DegC\ `_CXTCTMCOECK7mOEhNCcMAZL8VK7QJ5LI3GH1FaZEYTEUNDRH\ DNBCJ5_hQSZHKP8_hhWcaT_WPWPMSJIOCFK6bdxWYhPSUIMFtf\ uYTTvsGnlDfeAPoCSlHViMYfQRacLXqKZnJ_lI`iHagcUpzMxw\ WqudjsmcpgZnbVkYRiTMfOIdJEbEAgKFkQJpWNt`R2gn3ei4dd\ 5c_6bV7aQ8`L9_G9ZBBhPchachnchpchrmptmmvmbTmabmRJmc\ lmSOmszmlomeem_VmTLmMAmiHmdEm_BmV8mQ5mL2mU7mP4mK2m\ lFmgDmcBm_9zW7zS5zOczKczOczMczKzzJzzHzzDzzEzzFzzGz\ zVzzSzzQzzNzzLzzIzzYzzPzz9zzAzzBzzCzzDzzEzzFzz1zz4\ zz6zz8zzAzzCzzEzzDzzFzz5z } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 17-10-13 (Things That Might Be [A-6,M-6])
by Jim Muth 17 Oct '13

17 Oct '13

FOTD -- October 17, 2013 (Rating A-6,M-6) Fractal visionaries and enthusiasts: The iterated expression that created today's image is the same one that created yesterday's image. The difference is that in today's image, Z is initialized to a different critical value, which is -1.176... This value creates a parent Mandeloid much like yesterday's but rotated 180 degrees so that the mostly obscured M-set now faces east, with East Valley on the west side. In addition, there are two large minibrots, one just north and the other just south of the main body of the parent. They might be worth a check. A tiny bud and spike extends east along the X-axis from the main body of the parent. Today's scene lies near the tip of this spike. I named today's image "Things That Might Be". When I thought of the name, I was pondering the big question of whether fractals are real, unreal, or something in between. The artistic and math ratings of an everyday 6 show that I think the image could be better. If I had not put so much time into playing with the new kitten, I could probably have worked the image into one that would rate at least one point higher. The calculation time of 15 seconds makes the job of running the parameter file a virtual breeze. The web sites, where the image has already been calculated and posted, can create the actual breeze. The web sites are located at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began with a sky half filled with clouds, but the clouds blew away by mid-morning, leaving a mostly sunny sky for the rest of the morning. The clouds returned in mid-afternoon however, and rain began shortly after. The temperature of 72F 22C was more like September than mid-October. The established fractal cat spent the day trying to decide what to make of the new kitten arrival in the house. At the present time, he is both interested in her and wishes she would go away. Meanwhile, the humans had another normal day. The next FOTD will surely be posted; the question is when. Twenty-four hours from now is the best bet. Until that magical time arrives, take care, and the use of common sense is quite common in the world. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= ThingsThatMightBe { ; time=0:00:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident center-mag=+0.5814917617012194/0/9.23049e+010/1/180 params=0.5/1/0.5/-1/0.5/2/0.25/3/-1.176222776541/0 float=y maxiter=500 inside=0 logmap=34 symmetry=xaxis periodicity=6 mathtolerance=0.05/1 colors=0005gl5dk5aj4Zh4Wg4Tf3Qd3Nc3K`2HY2EU2BP18K1\ 5F12A36A59K6DS8G_AJ`BNaDQbFTcGXdI_eKbfLfgNihOliGeP\ 9Z5HV6PS6WO6cL6jH6rE6yB6tIBoPGjWKebP`iUXoYZl_`iabf\ cdcefafhZhjWjlTlnQnpOorLqtIsvFuxCwzAxxBrwBmvBguBbt\ BXrBSqBMpBHoBBnB68bODdPIePNfQSgQWhQ`iRejRjkSolSsmS\ tlTtlTtlUtlUtlVtlVukVukWukWukXukXukXriYphZng_kf`id\ agcadbbbac`_dYZeWYeUXfRVgPUhNTiLSiLgYLvNMsQNpSOnVP\ kXPh_QfaRcdS`fTZiTWkUTnVRpWOsXLuXJwULlRNaOPRLRGIS5\ Fa8CkAAuCCsGEqKGpOInSJmVLkZNjbPhfQgiSemUdqWbuXaxZY\ s`VobSkdPgfLbhIZjFVkCRgHUdMWaQYZV_W_bTcdQhfNlhPkhQ\ jhRieSibUi_VhXXhUYhRZgO`gLagIbgF`hEZhDXiCViBTjARj9\ Pk8Nk7Lk6Jl5Hl4Fm3Dm2Bn19o08p0Aq4Br7DsBEtEGuIHvLJw\ PKxSLyVNzZOzaQzeRzhTzlUzoVzrTzVRz7Pz6Oz6Nz6Mz5Lz5J\ z5Iz4Hz4Gz4Fz3Ez3Cz3Bz3Az29z28z20z17z15z14z13z02z0\ 1z05zO3zI2zCMzWIzTEzQAzN7zKGzMPzOYzQfzSozUwzWszYoz\ ZjzWfzTazQYzNUzKPzHLzEHzB } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

1 0

FOTD 16-10-13 (Mutated Seahorses [A-7,M-6])
by Jim Muth 17 Oct '13

17 Oct '13

FOTD -- October 16, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: The farther I delve into these 4-part fractals, the more interesting they become. It's too bad I'm not math literate enough to write a formula that will automatically initialize Z to one or all of the critical points like the 10-year-old 2-part MandAutoCritInZ formula does. But the parabolic-plane method I use works well enough. Today's curious image was created with a combination of straight Z, (1/Z), Z^2 and Z^3, with initial Z set to a critical point of 0.6029... The resulting parent fractal resembles the eastern third of the main bay of an oversized Mandelbrot set, with an entire skeletal M-set where the rest of the bay should be. Today's scene lies in the north branch of the strangely solid Seahorse Valley of this skeletal M-set. There is not much to be said for the image, which speaks well enough for itself, even without being turned into fractal 'music'. If I had more time to work on the colors, the art aspect of the image might have rated more than the actual 7. The math aspect remains a 6, which is good enough. I named the image "Mutated Seahorses" because of the unexpected transformation the seahorse elements have undergone. The down side is the calculation time of 5-3/4 minutes, which will start to drag, especially on slower machines. The drag may be eliminated by visiting the FOTD web sites. The web sites may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Cloudy skies, a few small drops of rain, and a temperature of 64F 18C kept spirits under control here at Fractal Central today. The old fractal cat was too busy checking the 7-week-old new fractal cat through a cracked door to pay much attention to the weather, while the humans kept an eye on the feline situation. So far, the two have not decided what they think of each other. The next FOTD will be posted when the right cosmic time arrives. Until then, take care, and what are skeptics the most skeptical of? Is it space aliens visiting earth in UFO's, bigfoot creatures, lake monsters, mental telepathy, spontaneous human combustion, ghosts, reincarnation, the existence of a conscious and transcendental creative power called God, or everything that lacks the solid approval of conventional materialistic science? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Mutated_Seahorses { ; time=0:05:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=-0.9416268908362115/+0.0097462448978816\ /6.419e+010/1/40/0 params=0.5/1/0.5/-1/0.5/2/0.25/\ 3/0.602906705069/0 float=y maxiter=1600 inside=0 logmap=249 periodicity=6 mathtolerance=0.05/1 colors=000lgcjfage_edYcbWa`UYWRVSPSNLPJINGFJCBF97A\ 58545046558A6CF7FK8JP9MTAPUCRUDUVEWWFZWG`XHbXIcWGZ\ WEVVCQVAMU8HU6DU49R5FP6KN6PL7VJ7_H8dF8iJ7gM6eQ5cT4\ aW4__4Yb4Wf4Ui4Sl4Qp4Os4Mv4Km4Le4MX6NP9OGCP8MQPQMP\ _IQiDQm8ei4odAoZ8pS7mM6dK5XL6QJ7LM9FSBBVDFUCISBMQA\ PP9TN8WM7ZM7`RAbWCd`EffGhkIjpKluMgsOcqQZpSVnUQmWMk\ YIj_LiZOhYRgXUgX_dbeahk_nqXtvVypUykTyeSy`RyVQyQQyR\ TnSVdSXVT_KUaAUc0bZ4jV7rRAtOJvMSwK`zXzuaypeykjygny\ hemiXajOQkFEl63w4Lx4Qy4Vz4`z4ez5jz6pz7uz8zyBwtDtnF\ qiHndJlZMiUOfOQcJS`EUZlY2iZ8g_De`JcaOaaT_bZYccWdiU\ enSesPcqNboL`nJ_lHYkFXiDVgBUf9Sd7RcCZdGfdKndOudRtb\ Us`XsZZrXarVdqTfqRipPloNnoLqnJtnHvmFymDzlBzlAzkCzk\ EzjFzjHyjJxiKwiMvhOuhPthRsgTrgUqfWpfYpfZqgaqhdqigq\ jjrkmrlprmsrouqprpqoorlnsinvfmvclv`kvYkvWkvTkvRkvP\ kvNkvLkvJkvHkvEkvCkvAkv8kv6kv4kv2fvBbvKYvSUv`QvhSv\ gTvgUvgVvgWvgXvgYvgRvNQvI } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

1 0

FOTD 15-10-13 (Sly Trickery [A-7,M-6])
by Jim Muth 15 Oct '13

15 Oct '13

FOTD -- October 15, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: To create today's image I combined various reiterated portions of Z^2, Z^3, Z^4 and Z^5, and initialized Z to a critical point of -2.445... The parent fractal that results is in two parts -- a Mandelbrot set rotated 180 degrees and an extra Mandeloid on the X-axis some distance east of the M-set. At first glance, this Mandeloid does not appear critical, but a closer check will reveal that it is filled with perfect minibrots. Today's image lies near the tip of one of the filaments extending from the eastern end of the main spike of the extra Mandeloid. The name "Sly Trickery" is a comment on the rendering method, where instead of the usual outside=iter, I reset the outside to 'tdis', which creates the effect of terraces surrounding the central minibrot. This trickery took a full point from the art worth, dropping it to a 7. The overall effect is not in the math, it is in the program. The math aspect is worth only a 6. The calculation time is a very fast 45 seconds, but the inconvenience of setting up and running the parameter file still exists. A quick trip to one of the web sites will eliminate this chore and make life easier. The web sites may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began with fog, but when the fog cleared off around 9am, it led to a perfect day with total sun and a temperature of 70F 21C. The fractal cat enjoyed the conditions fully, then retired to my favorite chair to spend the afternoon sleeping. The humans passed the day as just one more in a near endless string of similar days. The next FOTD will be posted in a number of hours. Until the number is revealed, take care, and before you look to the light for enlightenment, be sure it is the right light. Remember that the world is filled with wrong lights. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Sly_Trickery { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident center-mag=-1.752840469303519/+0.0457707436589533/\ 3.507371e+009/1/-175/0 params=1/2/0.2/3/0.1/4/0.04\ /5/-2.445428353012/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000IUJLUJOVKRVLVWLYWM`XNcXNfYOiYPlYPdURYQTQ\ MUJIWBEY4AZBE_HH_NL_UO`_S`eV``ZYWbWSfTNjRInPErM9vK\ 5yIFoSOeaMbbL_cJXdIUeGRfFPfJWYMbPPiGQjHQjIRkJRkJSl\ KSlLTmLTmMUmNUnNVnOVoPWoPWpQXpRXpRKV5IS6GP6EN7CK7A\ I88F86C94A9277000576DF8JN7PS7VY6`c5fh5ln4rt3wy3tp6\ qg9nZBkREhIGe9J91LH0bP0tSKuWUuZaub_v`Zv_XvYVwXUwVS\ wURwRVwOZwLawIjwFswzvwzzwzzwmzwczvZzuUztKzs4ur4tq4\ tp4to4sn4sm4rl4rk4rj4qi4qh4qg5nh5ki6ii6fj7dk7Xk7Pl\ 8Im8Am93n95o9DoCKpEQpHRqJTqMUqOVrRXrTYsWZsY`s`atbb\ tedugeuifugesfdqecocbnbala`j`_hZZgYYeXXcWWaUV`TUZS\ TXRTWKQOEOH7LA1J37K5DL7JM9C4iC4kC4mB5oB5qB5sB5uGAu\ KFuPKuTPuYTuaYufbujguoluzpuziozfnzcmz`lvYkzWjza`zf\ SzlJzqAzv1zq6zmBziGzeLzaQzYUzTZzPczLhzHmzDrz9vzAtz\ BszBrzCqzDpzDnzEmzElzFkzGjzGhzHgzIfzIezJdzJczygzcv\ zavzZvzXvzVuzSuzQuzOuzLuzJuzHuzIqzJnzKkzLhzMdzNazN\ ZzOWzPSzQPzRMzSJzSGzTHzTI } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

1 0

J.S. Bach -- Crab Canon on a Möbius Strip
by Paul N. Lee 15 Oct '13

15 Oct '13

Here is something a bit different, which I found quite enjoyable and intriguing. Well worth the three+ minutes of your time (in my opinion): http://youtu.be/xUHQ2ybTejU Sincerely, P.N.L. -------------------------------------- http://www.Nahee.com/PNL/Fractals.html http://www.Nahee.com/Fractals/

2 1

FOTD 14-10-13 (Raspberry Riot [A-8,M-6])
by Jim Muth 15 Oct '13

15 Oct '13

FOTD -- October 14, 2013 (Rating A-8,M-5) Fractal visionaries and enthusiasts: In today's image I mixed together various portions of (1/Z), (Z^2), (Z^3) and (Z^-4). With this strange combination, the only critical value I could find for initial Z is -0.6926... The resulting Mandeloid appears as an undersized Mandelbrot set located well out on the positive X-axis. Today's image lies on the eastern edge of the north branch of Seahorse Valley of this remote M-set. The large-scale shape of the image elements is routine Seahorse Valley stuff that can be found in Seahorse Valley of the classic M-set, but the small-scale texture is unique to the particular exponents that were combined into today's image. This texture could (most likely) never be found in the M-set with the outside set to 'iter' as it is in today's image. The name "Raspberry Riot" is obviously based on the eight brilliant red elements surrounding the central minibrot. The artistic rating of a superior 8 indicates that I put extra effort into the coloring. The math rating of a humdrum 5 shows that IMO the math trick is beginning to grow stale. The drawback is the calculation time of 9-3/4 seconds, which is slow indeed. But the web sites are always there to ease the impatience. So don't be impatient! Check different versions of the finished image at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> An un-notable mix of sun and clouds prevailed here at Fractal Central today, with a near average temperature of 68F 20C. The fractal cat, who may soon find himself with a new companion, enjoyed the conditions well enough. The humans, with other things to do, neither enjoyed nor were annoyed by the weather. The next FOTD will be posted before too long. Until then, take care, and let's put all the political losers out to pasture. If we did, I wonder who would be left to run things. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Raspberry_Riot { ; time=0:09:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=+1.59666112836225/+0.00220736012223885/\ 8.321261e+011/1/-56.5/0 params=4/-1/2/2/-1/3/0.5/\ -4/-0.692615048216/0 float=y maxiter=2250 inside=0 logmap=418 periodicity=6 mathtolerance=0.05/1 colors=0002GP2JU2MZ8PcLThWVniXtt_zmYwfVt_SqTPnMMkE\ JgzRE3rT41683CD5IH7PM9VQA`UCgZEmbGsgIzPi22505A17G2\ AL3CR4FW4Ha5Kf6Ml7Pq8Sw9UqK596AIDFRJK_QPhWHUb5KE5E\ C4A06C1AE1DF2HJ2KN3OR3RV4VZ4Yb5af5dj6hn6cr7Zm8UhUP\ cMKZXFUiASe8VmAShCPcEMZGJUIGPKDKMAHO7FR8HU8JX9KcAM\ pBOzCQ635C6AIAFODKUGP_KUiNZqRcwRzzMmz8iq0Sm04c18_2\ AY3CU3AQ48S56W60_7Kc7Ug8ck9moAtsBzz4zz9zvE5rI7mN9h\ MBcLDZKFVJHVI3VH6VG9VFCVEFVDIWCLWBOWARW9UZ9XaA_eBc\ 1423855D86HB8LEAQH0410921E31I42N52S63W73`84e94iA5n\ B5sC6xE10330740B60F80J90NB0RD0UE0YG0aI0eJ0iL0mN1q8\ 64GC8OICXPHdVLl`PugU31N63i543A86FDALHDQLHVUK`XOhaR\ ofXohYuka51DA2QG4b4868GCDPI2525B47G7AM9DRCFXEIaHLg\ JNlMQrOTxR650CA1JG1PL2VQ3aW3g`4nf5LU1fU30W20Y40_60\ a91bB1cD1dF1eI1fK2gM2hO2iR2jT2kV3lY2m`4nc6of8piAql\ EroIsrMtvQuwUvwYwwaxweywizwmzzrzzvzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

1 0

FOTD 13-10-13 (Mystic Night-Sky [A-8,M-6])
by Jim Muth 13 Oct '13

13 Oct '13

FOTD -- October 13, 2013 (Rating A-8,M-6) Fractal visionaries and enthusiasts: To create today's FOTD, I quadrupled the portions of the exponents of Z that created the most recent image, that of October 11. In today's image the two wings sprouting from the East Valley area of the original parent have degenerated into two zig-zagging filaments strung with a kind of flower buds. Today's scene is located rather deep in East Valley, in a flower bud on the southern filament. The name "Mystic Night-Sky" describes the mood of the image, with its overall deep somber grayish and bluish tones. The implication is that there is a lot more going on up there in the sky than is visible to the eye. Not being limited by rational scientific skepticism, I have a far easier time believing in spirit beings in the sky than aliens from the stars in their warp-drive material space craft. And invisible spirit beings certainly are mystical. The artistic rating of an 8 and math rating of a 6 might be a little conservative, but the theme is starting to grow old. The calculation time of 1-3/4 minutes is fast enough, though a visit to the web sites can speed up things even more. To avoid the calculation, check the web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Cloudy but bright weather made the day with its temperature of 68F 20C rather pleasant here at Fractal Central. At least the fractal cat thought so, as he spent an unusually long time in the southwest window, his entertainment center. The fractal humans spent the day doing nothing much, which could hardly be better. The next FOTD will be posted in the near future. Until that vague time arrives, take care, and keep a sharp eye on the world of fractals as well as the sky. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Mystic_Night-Sky { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident center-mag=+0.3274631404590703/-0.0003459273012306\ /4.86033e+007/1/-32.5/0 params=2/1/1/2/0.666666666\ 6666667/3/0.5/4/-0.9999999999999999/0 float=y maxiter=900 inside=0 logmap=134 periodicity=6 colors=000KA_F9XE8UD7SC6PB5NA4K93I82F71C60B50A4093\ 082071060060050040030020010000000000008mZ7hV6cS5_P\ 5VM4RJ3MF2IC2D91E60F31GY2HX3IW4JV5KUALTGMSKNRLOQIN\ PELMAJP5GR1EN1BK18G16D04A026013`z8Tm6M`4E_37b11YXT\ TGNaCHS9BJ6593_d0W`0TX0QT0MQ0JM0GI0DE09B0670030AZG\ KUNUUUcUZmUcmUhmKmnAppBsrDvpFnpKgpP_qUTqZMrcKtcIzc\ GzcFzcSzZdzUazU_zcYzhWzmTzmRzmPzmNzmUzrczwmzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzCDa50`50_50Z50Y50X50W50U50S\ 50Q50O50M40L30K20I10G00F00C00A008006004002FjXDdSBZ\ O9TK7NG5HC3B8154VqVQiQMZMHMHDDDzzzzzzzzzosxfovYitQ\ crIYpKSnIQlGOjEMhDLfCKdBJbAI`9HZ8GX7FV6ET5DR5CP4AN\ 49L38I37F26C249135123011xkUcWKKGAaUXZUUWUSTUPRUNOU\ LLcIJcGILeLJiNHlPFoRDrTBuVAxXCuYDr_Ep`FmbHkcIhdJff\ KcgMaiNZjOXkPUmQRnSPpTMqUKrVHtXFuYCwZAxc7yc5umBqmH\ mmNimSeoYarcYuiVwnTxkSxhRxePzbOz_NzXLzUKzSJzPHzMGz\ JFzGDzDCzABz8Ez9Gz9Iz9Kz9 } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

1 0

FOTD 11-10-13 (Vision in the Sky [A-9,M-6])
by Jim Muth 11 Oct '13

11 Oct '13

FOTD -- October 11, 2013 (Rating A-9,M-6) Fractal visionaries and enthusiasts: Those who have no interest in the fourth dimension should skip to the start of the fractal stuff 12 paragraphs below. The image is pretty good, at least in my humble opinion. The fourth spatial dimension, where the Julibrots live, holds many things that defy common sense when they are squeezed into our everyday three dimensional space. One of the most curious is the strange motion known as double rotation, in which a 4-D object such as a hypersphere may rotate around two absolutely perpendicular planes at the same time, with each plane rotating on itself independently of the motion of the other plane. In 3-D space, when two rotations are applied to an object, the rotations combine into a single resultant rotation, but a double-rotating 4-D hyper-object is in an entirely different condition. This strange motion is impossible to visualize in 3-D space, but with some effort I have worked up a crude visualization of a hypersphere subject to double rotation. Hopefully, my description will communicate at least some of my visualization. The trick is to rotate the view in 4-D space. I begin by visualizing a 3-D sphere like the earth. On the curved 2-D surface of this 3-D sphere, it is possible to move away from the equator at a right angle in only two directions. On the earth these directions are straight north and south, and following these two geodesics one will reach the polar points of the rotating sphere. But on the curved 3-D surface of a 4-D hypersphere it is possible to move away from the equatorial circle at a right angle in any direction in a plane perpendicular to the equatorial circle. Regardless of the direction one chooses, if he sets out at 90 degrees to the equator and follows a straight geodesic line on the surface of the hypersphere, he will intersect the polar circle. The direction in which he sets out determines the point of the polar circle he will intersect. I now drop a dimension and rotate the view 90 degrees. The equatorial circle vanishes except for the point at which the explorer is standing. He now sees himself as standing at a pole of the sphere. The great circle he sees circling the spherical slice of the hypersphere at 90 degrees from his location is the actual polar circle. This is as close as I can come to visualizing a hypersphere. I do it one 3-D slice at a time. Rotating back so that the entire equatorial circle is again in view, the explorer sees that the visible part of the hypersphere is rotating exactly as the earth does, with the equatorial circle rotating on itself. He now is observing a 3-D slice of a hypersphere in a state of a single rotation, and though he cannot see it, he knows that every point of the the polar axis-plane is remaining stationary while it turns in place. Now the fun begins. There is nothing to prevent the polar axis from rotating on itself also, with the equatorial circle as its axis, and when it does, the two rotations are totally independent. The resulting motion of the hypersphere is called double rotation and like everything else in 4-D space, it is impossible to visualize. But to make an effort at visualization, let's assume that, just as on earth, the equatorial circle is rotating on itself once every 24 hours. So far, so good. But now let's assume that the polar circle is rotating on itself once every hour. While standing very near the equator, the explorer finds his location on the hypersphere rotating around the closest point of the equator while being carried forward with the equator and tracing out a kind of helix. The explorer sees the point where he stands rotating around the equator 24 times every time the equator makes one revolution on itself, but the point is not tracing out a simple 3-D helix looped into a ring, only a close approximation. The farther from the equatorial circle he wanders, the stranger the motion becomes. If the explorer were standing very close to the polar circle, he would find the point rotating around the entire hypersphere 24 times before it rotated around the polar circle once, tracing out something like a twisted garden hose, and if he stationed himself at a point halfway between the two axis circles, the point would trace out something that could be visualized only by a being with 4-D vision. The incredible part is that the hypersphere remains rigid while subject to double rotation, undergoing no strain or distortion. A vague idea of the motion of double rotation can be found by observing the 3-D shadow of a double-rotating skeletal 4-D hypercube. Such projections are probably on the internet, though I have not yet searched. The fun does not end here however. In six-dimensional space, triple rotation is possible, but that's a story for another day. Now let's get to today's fractal. To create today's image I cut the portions of Z of yesterday's formula in half. This keeps the critical point unchanged. The resulting parent Mandeloid is larger than yesterday's, with more prominent 'wings'. Today's scene lies near a minibrot northeast of the north wing of its parent. This minibrot is connected to the main body of the parent by a broken filament, but unlike almost all minibrots, which are connected to the main body of the parent at their East Valleys, this minibrot is connected at the southern branch of its Seahorse Valley. Today's scene lies in this strange Seahorse Valley connection. I named the image "Vision in the Sky". Something about it reminds me of a dream I had long ago, where I saw a similar object in the sky. The math interest rates only a 6, but the artistic value is a superior 9. The rather lengthy calculation time of 4-1/2 minutes is a drawback. The web sites will remove this problem however. Enjoy freedom from calculation pains by viewing the finished image at one of the web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> After a night that brought 3.25 inches, 8cm of rain and some minor flooding, today dawned cloudy with light rain still falling. The rain ended before noon and the sky brightened in the afternoon, but the sun failed to appear. The temperature of 64F 18C gave no cause for complaint. The fractal cat, who does not like water, spent the day checking the outside conditions and sleeping under the chair cover. The humans were thankful that the heavy rain resulted in only a few small puddles in the fractal basement. The next FOTD fractal will be posted in the proper time, October 13 is the best guess. Until whenever, take care, and don't be concerned if you fail to understand what I have written say about the fourth dimension and double rotation. I don't understand it myself. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Vision_in_the_Sky { ; time=0:04:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident center-mag=+1.075076292720345/+2.073914299796522/\ 3.727144e+011/1/18.75/0 params=0.5/1/0.25/2/0.1666\ 666666666667/3/0.125/4/-0.9999999999999999/0 float=y maxiter=750 inside=0 logmap=339 periodicity=6 mathtolerance=0.05/1 colors=00050`50_50Z50Y50X50W50U50S50Q50O50M40L30K2\ 0I10G00F00C00A008006004002FjXDdSBZO9TK7NG5HC3B8154\ VqVQiQMZMHMHDDDzzzzzzzzzosxfovYitQcrIYpKSnIQlGOjEM\ hDLfCKdBJbAI`9HZ8GX7FV6ET5DR5CP4AN49L38I37F26C2491\ 35123011xkUcWKKGAa2XZ1UW1ST1PR1NO1LL1IJ1GG0ED0BA09\ 807504202X2LU1JR1HP1GM1EK1CH1BF09C08A06704503201up\ FqlEmhDieCeaBaZAYV9US8RO7NL6JH5FE4BA3772331OuGGaA8\ J5U4IM3DF29714lM4hK3eJ3bH3ZG2WE2TD2QB2MA1J81G71D51\ 9406203102Fd1Ea1DZ1CX1BU1AS19P18N17K06H05F04C03A02\ 70150023EP2BK18F15A025h3N_2IR1DI199048mZ7hV6cS5_P5\ VM4RJ3MF2IC2D9196043z4Zr3Uj3Qb2LV2HN1DF18704EZYAQP\ 7HH38820R10N10K10G10D00A006003`z8Tm6M`4EP37C11gXTk\ GNaCHS9BJ6593_d0W`0TX0QT0MQ0JM0GI0DE09B06703307ZG6\ WE5TD5QC4OB4L9q9mqApqBsqCvpCnpcgpc_pcTpcMrcKtcIzcG\ zcFzcSzwdzsazo_zkYzgWzdTz`RzzPzzNzzKzzIzzGzzEzzCzz\ FzzIzzLzzOzzRzzUzzXzzZCDa } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 10-10-13 (The Worm has Turned [A-6,M-6])
by Jim Muth 10 Oct '13

10 Oct '13

FOTD -- October 10, 2013 (Rating A-6,M-6) Fractal visionaries and enthusiasts: In today's image I mixed straight Z with 0.5 part of Z^2, 0.333... part of Z^3 and 0.25 part of Z^4 and then set initial Z to -1, the critical point of the mixture. (I entered the value as -0.999... because of a program glitch.) The resulting Mandeloid resembles a Mandelbrot set with two large wings sprouting from the north and south sides of the East Valley, which is grossly enlarged but, at least on the surface, not very interesting. Today's image does not lie in this area however. It is located very deep, near a larger minibrot in a minor valley on the east shore line of an oddly shaped minibrot on a filament extending from the large period-3 bud on the northwest shore line of the main bay. The art and math aspects both rate a 6, which is a little above average but nothing to get excited about. The colors clash too much and are too splotchy to rate anything higher, and the math is nothing new either. I might have done better with the colors if I had not become preoccupied with four-dimensional stuff. The name I gave to the image, "The Worm has Turned", had some meaning when I thought of it, but I have since lost track of whatever the meaning might have been. The slow calculation time of 7-1/4 minutes may be avoided by checking the FOTD web sites. The web sites may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A cloudy sky with a temperature of 59F 15C kept spirits under wraps here at Fractal Central today. The fractal cat hid his depression under the chair cover; the fractal humans had too much other stuff to do to feel very depressed. The next FOTD will be posted before long. The discussion should include a bit about four-dimensional curiosities, especially the weird motion possible only in space of more than three dimensions known as double rotation. Until then, take care, and this Saturday we will see what the wooly bear caterpillars have to say about the weather of the coming winter. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= TheWorm_Has_Turned { ; time=0:07:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident float=y center-mag=-0.7389306041414476/+0.6651148962222097\ /3.193439e+013/1/132.5/0 params=1/1/0.5/2/0.333333\ 33333333/3/0.25/4/-0.999999999999999/0 maxiter=2000 logmap=448 periodicity=6 mathtolerance=0.05/1 colors=00000300600A00D00H00L10O40R70V92XB3ZB5`B5cB\ 5dB5fB5gB5gB5hB5jB5jB5gB5fB5eB5eB5dB5cB5bB5_B5YB5X\ B5VC5SD6QF7OG8LHAIKBGMDDOEBRF8TG6WJ3YL0_O0bQ2dS3cW\ 6bY8``A_bCZdDYeGYfGXeHWdHV`HUWHTRHSMHRIHQDHO7HM25K\ 05I03G02F02E00D00C00B00A00900800700600500400300200\ 10000000000000000000010010010020020020032042042042\ 0430430430000430F60O30M70LB0IF2HJ6FMADQDBTH9XL7`Q5\ cT3fX1j_0mc0pf0sj0wm0zr0zp0yn0yl0xk0wh0wfWjSImG4p3\ 0s03s0Ds8NsHXsQesYnseppgrmjtjlvfnxcpzaqx`lv`gv`ctZ\ YsZTqZPpZKoYDnY8mY3kY0hX0fW3cV6`V7YTAWSCTSDQRGNQIK\ PLHPMDOPBMR8MSDKTIITMFTRETWBVZ8Vc6Vf5VeBPdIKcODcT8\ bZ3`d0ej0kn0ql0vj0vg0qe0kc0fa2bZ5bX7bVAbSCbQFbOHbM\ I`OL_OOZOQYOSXOTWOWUPYTP_SP`RPcQPeOPgNPhOMjQLkRJlS\ ImSGmTEnUDoWApX8qX7qW8oUAmTBlTDjSEgRFfRFdQGbOI`NJZ\ NKXMLWLMTLMSS`nXXk_VgcSdfP`iMYmKVpIRsEOvBKz8Gz6DtV\ YkppfflbXhYOeSM_MLVGLPZdb } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 09-10-13 (Wandering Tentacles [A-7,M-5])
by Jim Muth 10 Oct '13

10 Oct '13

FOTD -- October 09, 2012 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Today's scene lies in the same Julibrot as the past two weeks' images, though today we check a different critical Mandeloid, the one that results when Z is initialized to -0.105... The resulting parent fractal has a string of smaller distorted minibrots stretched east along the positive X-axis. Today's scene lies northeast of a curious enlongated minibrot between the largest minibrot and the eastern main bay. The thing that first caught my eye is the unusually curved filaments that fill the frame. I decided on the name "Wandering Tentacles" when I noticed the strange arrangement of these filaments. The math rating remains a 5, as it will until whenever I move on to another parent Julibrot. The art rating of a 7 could have been a point or so higher if I had put more effort into the coloring, which took only 5 minutes or so. The calculation time of 1-1/3 minutes is reasonably fast for an image created with such a slow formula. But the web sites will do it even faster. To save time and effort check the images posted on the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> They are very trendy. A thickening layer of high clouds obscured most of the sun here at Fractal Central today, while the temperature of 64F 19C kept things feeling appropriately autumnal. The fractal cat hid himself under the chair cover for most of the afternoon. The humans made it through the day uneventfully. The next FOTD will be posted in a reasonably brief period of time. Until we determine how long a time can be considered brief, take care, and continue to enjoy the fiction that passes for the daily news reports. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= WanderingTentacles { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=+0.894930967766/+0.007451711711/309671/\ 1/105/0 params=1/1/-1/3/0.01/-1/0.3/2/-0.105194050\ 679/0 float=y maxiter=750 logmap=46 periodicity=6 colors=00000000100200300400501612723834944A55B65C7\ 6D86E97GA7HB8IC8JD9KEAKFAKGBKHBKICKJEKKGKMIKOKKQMK\ TOKXQMZSO_UQaWZbYZd_cfacgccihcjhclhcnhcorcqrcrrctr\ cvrcwseytgzuiuvkswmqxooyqmzskzuiywgyxeyycxzcxzcwzd\ rzerzgrzhrzirzjrzlrzmrznrzprzqrzrrzsrzurzvrzwrzxmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzwzzwzz\ wzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzzwzmwHmwFmwC\ mwAmw8mwImwSmwUmwWmwXmwZmw_mwamwbmwdmwemkdmkcmkbmk\ amk`mk_mkZmkYmjYmjXmjWmjVmjUmjTmjSmjRzmRzmQzmQzmPz\ mPzmPzmOzmOzmNzmNzmNzmMzmMzmLzmLzmLomOpmQrmTsmVtmX\ zxFzuEzrDzpCzoBzpAzm9zp9zm8zj7zh6zh5zh4zh3zh3zh7zh\ AzhDzhGzmKzmNzmQzmTzmXzm_zmbzmezmizmlzmozmrzmgzzYz\ zNzzDzzGzzIzzKzzMzzOzzQzz7zz7zzLzzZzzlzzyzzwzzvzzu\ zztzzszzrzzqzzpzzozznzzmzzlzzkzzjzzizzjzzjzzkzzkzz\ lzzlzzlzzmzzmzznzznzzozzo } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 08-10-13 (Formal Attire [A-7,M-5])
by Jim Muth 08 Oct '13

08 Oct '13

FOTD -- October 08, 2013 (Rating A-7,M-5) Fractal visionaries and enthusiasts: While yesterday's image examined the east side of the valley separating the two main bays of the parent Mandeloid, today's image examines the west side. Unlike the east side, the west side of the valley has googols of islands just offshore, and today's scene lies deep in one of these islands. Everything in the area is quite skeletal in nature, a fact that is plainly obvious in today's image. The art rating of a 7 might have been a point higher if I had found a more harmonious color palette or had tried other outside and inside fills. The math rating of this series of images will remain at an average 5 unless I find something really unusual in one of the 3 critical Mandeloids of the parent Julibrot. The name "Formal Attire" came about when I noticed the bow-tie shaped elements in the upper left and lower right corners of the frame. The calculation time of 7-1/2 minutes is just about the time it would take to fight into formal dress, (at least for a man). So avoid the battle by viewing the finished image on the web sites. Relief from the dressing up battle is available at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Perfect weather prevailed all day here at Fractal Central, with crystal blue skies decorated by cotton puff cumulus and angel hair cirrus clouds. The near-average temperature of 66F 19C pleased the fractal cat greatly, while the fractal humans were too busy to be pleased very much. The next FOTD will be posted in 24 hours, probably more, not likely less. Until that exceptional time arrives, take care, and a four-dimensional planet would have two independent rotation times, so how long would a day be and would any two days be the same? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Formal_Attire { ; time=0:07:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=-0.0466642902285061/+0.0259056781742565\ /6.440661e+010/1/-2.5/0 params=1/1/-1/3/0.01/-1/\ 0.3/2/0.09853323612/0 float=y maxiter=1500 inside=0 logmap=212 periodicity=6 mathtolerance=0.05/1 colors=000tzzrzzpzznzzlzzjzzhzzfzzdzzbyxkaqsFkmIlg\ LmaOmWQnQTnKWoFYoGZiGZcHZYHZSIZMIZGIZBQcFXgJdkMkpQ\ stUzxXqwVhwU_wTRwSIwR9wQ0wP5xUAxZFxcJygOylTyqXyuQt\ dKpOJqQJrRJsTItUIuWIvXIvYOpcTkiYfnbZifRdkJ_oCVgAR`\ 9OU8KX7Ha6Eh9GmBIqDKtFLuRUqbbmnkzzzzzzmmmcccUUUKKK\ _6Na4Rc3UZ5VU7VP9WKBWFDWDIUCNSBRQ9WO8`M7dLBaJEZIIW\ HLUGORFSOEVLDYJCSRNMYYGehBlsKpdUsQcoBmhFzGJzELzDMz\ BNzAOz8Pz7Qz6RzETzLVzTXz_YzXXzUWzRWzOVzLUmIUsFTxCT\ vEUtGUrIUpKUnMUmOUgMOaLIWKFRUENaKJiUFncIjmLfzObzRZ\ zUVqXRi_NmXKaUIQRGEOE3RSSTdoWfgZh`aiUdkMgmFin8tCJj\ HF`LCRQ8HU5NW5TY5Z_5da5jc5od5he9bfDXgGRhKLiNFjR9kU\ AlRAlOAlLAmIAmFAmDOQVa2lc9ieFfgMciS`kZYmdVocWpbXra\ YsaZt`_v_`wZaxZblUP`PBcXKfcThkakrjmyrlzpkzojznizmh\ zlgzkfzjezi_zbVzWPzQKzJEzC9z6FzDKzKQzQVzX`zcezihza\ kzVnzOqzGtz9wz2zzHzzVzzizzwzznzzezzXzzOzzFzz6zzBzz\ GzzKzzPzzUzzYzzUzzRzzOzzL } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 07-10-13 (Adam and Eve [A-8,M-5])
by Jim Muth 08 Oct '13

08 Oct '13

FOTD -- October 07, 2013 (Rating A-8,M-5) Fractal visionaries and enthusiasts: The question might arise as to why I named today's image "Adam and Eve". The answer is simple. While searching for a name, I noticed four 'fig leaves' in the corners of the image -- one leaf for Adam and three for Eve. (Don't ask for details.) The name then came automatically. The generating formula is the same one that I have used for the past week or so, which mixes various portions of Z, Z^3, 1/Z and Z^2. Today's parent Mandeloid is the one that results when Z is initialized to the critical point at 0.098... This parent resembles two partially critical M-sets sitting butt to butt with a very prominent valley separating the two main bays. Today's scene lies on the eastern edge of the northern branch of this valley. The western edge, which I will check in tomorrow's FOTD, holds entirely different sub-features. The artistic worth of 8 is mostly due to the coloring. Rendering the scene with the inside set to 'fmod' produced the smoothly curved elements that have been colored. The math value of 5 indicates that the math trick has lost all impact. This rating will remain until we move on to a new julibrot. The image calculates in 1-1/2 minutes on most all modern machines, but calculation is still a bit of a chore. So to make life easier, check the finished images at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Today began cloudy here at Fractal Central. Rain arrived in a sudden heavy squall just before noon with a 40mph 60kph wind, and continued lighter into the afternoon. The temperature fell from 75F 24C late in the morning to 59F 15C at post time, and it is still dropping. The fractal cat slept through most of the heavy rain, but became active when a flap arose among the local pigeons. We humans made it through the day without incident, as we have done on countless previous days. The next FOTD will be created and posted within a reasonable time. Until reason prevails, take care, and some big questions have no simple answers. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Adam_and_Eve { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident center-mag=-0.033916900398658/+0.064713748689748/\ 8.43739e+009/1/-60.5/0 params=1/1/-1/3/0.01/-1/0.3\ /2/0.09853323612/0 float=y maxiter=1500 inside=fmod proximity=0.089 periodicity=6 mathtolerance=0.05/1 colors=000QgSTfTVeTXdTZcU`bUbaUdaUg`Vi_VkZVmYWoXWq\ WWsWWSd`0le0kf0kg0kh0ji0jj0jk0jl0il0im0in0io0hp0hq\ 0hr0hr4js8ltBmtFouJqvMrvQtwUvxXwx`yyczyfwuitqkqnno\ jplgsicug`ohajiaeia`jbF50I85LBAPFFUMKZWPcaUhhZmn`r\ rbwzcmzZctUZqPUmKPhFKcAFZ5AU05P00K00F00A0050000HTW\ iEsk7tl9smAsmCsnDroFroGrpIqpJqqLqrMprOpsPptRotSouU\ ouVorYjo_embajdXggTeiOblK_nFYpBZqA_rA`r9as9bs9ct8d\ t8eu8fu7gv7hv7koDmhIoaNqVSsOXqQUoSRnTPlVMjWKWe8iYH\ g_Ee`Cdb9bc7`e4oA7gR4SR3TT2UV2VW2WY2WZ2X`2Yb2Zc2_e\ 23P4KY3WugXsbXrZYpVYoRYmNZlIZjE_iA_g62YkJbPMnmNmiO\ lfPlcQk`RkYSjUTjRUiOViLWhIXhEYgBZg8_f5EJEGLDINCJPB\ LQAMS9OU8PV8RX7TZ6U`5Wa4Xc3Ze2rWAnY8k_7ha6ec4be3tp\ m9oxCnrEmmHlgJkbMjYOjSRiNThIWgCYf7U46V75VA5WD5WG4X\ I4XL4XO4YR3YU3ZW3ZZ2_a2_d2N`xQanSbdUcVWdLYeBs`NlbG\ ed9asd`nS_jFyHauLWqPRmTMjWHf_Cbc700U00UpsZlpSinMek\ Fbh8QWbQYaQ__Q`YQbXQdVQfT } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 06-10-13 (The Full Range [A-7,M-6])
by Jim Muth 06 Oct '13

06 Oct '13

FOTD -- October 06, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's scene lies in a bit of debris in the center of the eastern main bay of the parent fractal. Most of the effect was achieved by rendering the scene with the inside set to 'fmod' and the outside set to 'tdis'. Since the parent Julibrot's three critical values have been investigated on the FOTD for over a week now, the rating is beginning to suffer. But I am currently quite interested in the formula, and will therefore continue checking it for a while longer. The name "The Full Range" is whimsical, as are a good number of the names artists give to their works. The calculation time of 30 seconds is no joke. The image really will finish in this brief time. And for those pressed for time or saddled with over-qualified computers, the web sites are there to ease the stress. Check the finished image posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A mix of clouds and sun, some humidity and a temperature of 82F 28C made the day more like summer than autumn here at Fractal Central. The fractal cat thought so when he rejected his spot under the chair cover to stretch out on the floor. The humans had a rather busy but pleasant day doing human diversions. The next FOTD will be posted whenever it is. Until that unknown time arrives, take care and how can we complain about our representatives when we ourselves elected them? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Full_Range { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident center-mag=+0.20411494707/-0.0006735978/88424/1/\ 82.5/0 params=1/1/-1/3/0.01/-1/0.3/2/-0.1051940506\ 79/0 float=y maxiter=750 inside=fmod outside=tdis periodicity=6 colors=000zzzxvzwuzvtzurzsqzqqzppzmpzlpzlozfYWXPbS\ DiN1pFAWA9BA88A76A8BA9FAAKAAOAATAAXAAaCTeGWfCZg9`g\ JcdSfaaiZjkWcjYYjZRj_LiaEib8ic2idBfeJceSaf_ZfhXgpU\ gxSgjifXzfQr`JjVDcP6WJ0PD4OJ8NPCNVFM`JMfNLlQLrfPUx\ dVwfRuhNsjJqlFokBmj7kiHihFggDefBce9ad7_c5YHKRBVQGY\ OM`NRcLXgKajIgmGmqP`gTdhYiiamieqjjvkhnfkkbnhZqeVtb\ RxZNkcVgYRcSN_MJWGFZ9Ua2hUHERIDOKCLLAJM9GO8mP7mR5m\ Q7mP7mR6mT5mU4mW3mY2mW5mV7mV9mUBmUDmTFmTHmSKmTKmTN\ mTQmTUmTXmT_mTbmSfmT_mUXmVUmWRmXUm_TmbTmeSmhSmkRmn\ QmmWmlamjgmimmhsmfym`amSQmJEm91mTQmVPmWPmYOm_Om`Nm\ bNmdMmZQmWUmTXmQ`mNcmKgmHjmEnmPamUWm_PmdJmjCmTWmSW\ mQWmPWmOWmMWmVXmaZmh_mpampbmxemebmaemZhmVlmRemBhmN\ cmJamFZmBXm7UmN_mVambbmjdmTemRjmOomMtmJymTgmVdmXam\ _YmaVmcSmfOmX_mRdmLjmVem_fmUdmYdm`dmddmhcmfcmdcmbc\ m`cmZcmXcmVcmTdmYfmbhmgjmllmqomigmeamaXmYRmUMmQGmM\ BmI5mUCmaDmiFmqGmzIm`cmdi } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 03-10-13 (Two Hidden Minibrots [A-8,M-7])
by Jim Muth 04 Oct '13

04 Oct '13

FOTD -- October 03, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's scene lies in the same Julibrot we have been working with for the past several days. This time we check the critical Mandeloid that results when Z is initialized to -0.105... The parent fractal is a Mandeloid with two main bays. Today's scene lies in a bit of debris inside the smaller eastern bay. The scene's 50-50 background consists of 'fmod' inside fill. The only outside things in the image are the floating bits and pieces scattered about in the foreground. I named the image "Two Hidden Minibrots". The two minibrots lie near the left edge of the scene and are colored a brilliant white, which does little to obscure them. The art rating of an 8 shows that I rather enjoy the image. The math rating of a 7 is helped by the artistic value. Unfortunately, the calculation time of 11-3/4 minutes cannot be reduced by running the parameter file with the passes set to 'G'. Doing so would cut the time by more than half, but it would also miss many of the smaller 'outside' islands. It is in cases like this where the web sites shine. Get happy. Enjoy the fractal splendor at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A foggy start followed by a mix of sun and clouds with a temperature of 79F 26C made today near ideal here at Fractal Central. When the much hated tomcat from up the street went parading by, the fractal cat issued a challenge . . . from the safety of his window. The humans were given their challenge by the work load. The next FOTD will be posted sometime in the foreseeable future, most likely sooner than later. Until whenever, take care, and would the next doomsday prophet please stand up to be counted. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= TwoHiddenMinibrots { ; time=0:11:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=+0.17602291/0/264/1/180 params=1/1/-1/3\ /0.01/-1/0.3/2/-0.105194050679/0 symmetry=xaxis float=y maxiter=1500 inside=zmag periodicity=6 colors=000g_GoVEwQCpNAiK9bH7XF6QC4J93D72BG79OB7WF5\ cK3kO2sS1nN0jI0fD2cE3`F5YG6VG7SH9PIAMJBJJ6QO2WTFUX\ ST_cSbjTWqUPxVJsXKnZKi_LdaL_cMVdMQfNMgNLeIKdDJc8Ib\ 4RWG_PRhIbqBmy5xzzzVMdGUWJQQLNKOJEQG8SD3FozCjtEgkF\ dcHbVI_RKXSNWLRULWSJYQQ_PWaNbcMheLofKuhLphMkiMfiNb\ jNYjOTjOPePLaQHYQEURAQR7MS3IS0RZFZeTflfnrtnmpnimnd\ jn`gnWdnSanOZzz0zz0zzUzzczzmzzz00000E00K00S00YBNOA\ PO8RO7TODPNIMNNJMSGMYCLb9Lg6Kl3KMVsJWrGWqDXqAXp8Xp\ IajSfdajZJ9qQBnWDkaFhhGfnIctK`zLZtTan`dhhgbpjYxlHy\ Y0zK9nLHcMPTNXINVJPTKRRKTQLVOMXMMZKN`JNbHPYGRTETOD\ VJBXEAZADYCFXEHXGJWILVKNVLVRPaOTiLXpI_jGedEkZDpXCk\ VCgUCcSC_QCWPCS`8al4kw0uv3ru5pt8nsAlrDjqFhpIfoKdnN\ bmP`lSZkUXjWWiXWhYWhZWg`WfaWebWecWPLP92IH3OP4TX5Yc\ 6bk7gs8lz9qv8gs7YSWT0sPRpUqnZnjRlgKhjddmy_csWUmRKg\ NAbMB_LBXKCUKCSJCPIDMHDJHDHGEEFEBFE9H8UJ3nKBgKIaKP\ WKWQKbKKiEkrHhoHekIbhJ_eJ } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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Re: [Fractint] AOTD 10_1_13
by Hal Lane 04 Oct '13

04 Oct '13

> .../vid/alienbrain.zip I don't believe I've ever been so deep inside a brain before... -- and the poor person's brain is full of black, triangular plaques... A fun video. - Hal Lane ######################## # hallane(a)earthlink.net ######################## -------- Author: JackOfTradeZ Date: 2013-10-01 22:24 -400 To: fractint Subject: [Fractint] AOTD 10_1_13 . Animation into FOTD Sept. 13, 2013: The All-Seeing Eye, is posted: http://www.fractal-animation.net/vid/alienbrain.zip 96 sec runtime, 27MEG download --------

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FOTD 01-10-13 (Holy Molars [A-8,M-6])
by Jim Muth 02 Oct '13

02 Oct '13

FOTD -- October 01, 2013 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today we move to the second critical initial value of Z of the formula that produced yesterday's image. This new value is -0.105... and the parent fractal it produces appears much like yesterday's parent. Today we check a tiny island in the eastern main bay, which is a result of the 0.01 part of Z^(-1) in the formula. When this speck is blown up it is seen to be a series of small islands surrounded by clusters of even smaller islands. Today's scene lies in one of these smaller clusters. I rated the art aspect of the image at an 8, which is mostly due to the coloring. The math aspect remains a humdrum 6. The name "Holy Molars" came to mind when the eight bluish-grey elements surrounding the minibrot reminded me of a ring of teeth. It is also close to what one of my favorite childhood comic cartoon characters exclaimed when he saw an emergency that needed fixing. The calculation time of 1-1/2 minutes is about the right price for the image. The image is available at a lower price on the web sites. The web sites are at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A mix of sun and clouds with a temperature of 73F 23C made the day one more in a string of similar days here at Fractal Central. The fractal cat slept through much of the day, but came alive when a pack of pigeons descended in the back yard. The humans, who enjoy pigeons up to a point, had more important things to do. The next FOTD will most likely be posted in 24 hours. Until then, take care, and the world just ended again but I didn't notice it. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Holy_Molars { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=+0.1887393849891371/+0.0088387795939066\ /2.385549e+009/1/142.5/0 params=1/1/-1/3/0.01/-1/\ 0.3/2/-0.105194050679/0 float=y maxiter=2750 inside=0 logmap=44 periodicity=6 colors=000UfwR`pOWiLRbIMXFGQCBJ96Czz5zzzzXzsTrpQmm\ NhjK_zozzszzzzcMYaSX_YWcdVmjUzpTzuGmzMmzSmzXmzbmzh\ mzmSwsSwxWtsZqobnjekfhhbleYobUxnQr_QxK6rLGmLQpDXlH\ ZhL_dPa`TbXXdanIAahU_eHhxlWXmYcFCwcwp_pfWiXEwTTcNz\ SKzOIzKHzGGz5DzDFzLGzTIz_JzaOzbTzdYzeazgfzhkzRPzlr\ ziozgmzekzbhz`fzZdzXbza_zeXzjVznSzyOzrQzkSzdUMzW6z\ ZCzYIzXOzWUzV_zU_zHbzNezThzZqzbkzcfzd`zeWzeQzfLzgF\ zhUzh6zkAzhEzfIzdLzbPz_TzYXzWYzWZzV_zU_zU`zT`zTazS\ azS_zRZzRXzQWzQWziTzjQzkOzkLzlJzlMzjOzhQzfSzdUzbWz\ `YzZ_zXazVczTezSczRbzQ`zPZzOXzMVzLTzKRzIPzHMzGKzFI\ zDGzCEzBCz9Az88z79zm7zSAzX9zT9zQ8zM8zJ7zG7zC6z9Szw\ QztPzqOznNzkLzhKzeJzbIz_HzXFzUEzRDzOCzLAzI9zF8zC7z\ 9szTpzRmzQjzOgzNdzMazKZzJWzITzGQzFNzEKzCHzBEzABz88\ z72zt3zq3zn3zk3zi4zf4zc4za4zZ4zW5zU5zR5zO5zM5zJ6zG\ 6zE6zB6z8FzsEzpEznDzlDziCzgCzeCzcBz`BzZAzXAzVAzS9z\ Q9zO8zL8zJ8zH7zF7zC6zA6z8 } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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AOTD 10_1_13
by JackOfTradeZ＠comcast.net 02 Oct '13

02 Oct '13

. Animation into FOTD Sept. 13, 2013: The All-Seeing Eye, is posted: http://www.fractal-animation.net/vid/alienbrain.zip 96 sec runtime, 27MEG download .

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FOTD 30-09-13 (Integral Eyes [A-7,M-6])
by Jim Muth 30 Sep '13

30 Sep '13

FOTD -- September 30, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's fractal scene lies in the Julibrot that results when various portions of (Z), Z^(3), (1/Z) and Z^(2) are mixed together before straight (C) is added on each iteration. This unlikely combination has three initial values of Z that are critical. They are 0.098... -0.105... and -0.473, and all of them produce variations of a single fractal theme. Today's scene lies in the parent Mandeloid that appears when Z is initialized to the first critical value of 0.098... This parent appears as two Mandeloids lying butt to butt along the X-axis. Todays scene lies in the "East Valley" of a large open area on the negative spike extending west from the main bud of the western Mandeloid. The image is filled with the goofy eyes that usually surround minibrots in East Valley areas. But these eyes are much larger and also more decorated than the typical eyes, with a network of strings of smaller eyes throughout the scene. The central minibrot is a bit under-resolved. This is no problem however, since we all know what undistorted quadratic minibrots look like. The lack of full resolution is made up for by a better distribution of the higher-iteration colors. The name "Integral Eyes" might imply more than the image delivers. It came to me out of nowhere, probably from some forgotten sci-fi novel I read many years ago. The art rating of 7 and math rating of 6 make the calculation time of 2-3/4 minutes a bit more than the image is worth. So don't be square. Check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> with variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A mix of clouds and sun with a pleasant temperature of 72F 22C made everyone happy here at Fractal Central today, including the fractal cat, who stretched out when a stray beam of sunlight happened to fall on him. The humans had another in an endless string of everyday days. This might seem boring but don't be bored. The FOTD is not a soap opera or telenovella. The next in the near endless string of fractal images will most likely be posted next month, which just happens to begin in seven hours or so. Until then, take care, and I sure would like to see the shadow in 3-D space of a skeletal 4-D hypercube (tesseract) in a state of double rotation. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Integral_Eyes { ; time=0:02:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident float=y center-mag=-1.003768662815/0/7724957 params=1/1/-1\ /3/0.01/-1/0.3/2/0.09853323612/0 maxiter=1800 inside=0 logmap=232 symmetry=xaxis periodicity=6 colors=000sPloSmkVnhXod_o`bpYdqUgrQjsMmsJotFruBuv8\ wv9su9pu9muAiuAftActB`tBXtBUtCUsCUsCUsDUsDUrDUrEUr\ EUrEUrKUoKUmKUkKUhKUfKUdKUbKUmKUwKUlKUaKUSKUNKUWKU\ cKUkKUcKVcKWcKUcKTcKScKRcKQcKPcKOcKNcKMcKLcJKcIJcF\ IUHHUJGUKGUMFUNFULLUKRUIXRHaOFgIEmCDr6HqALpEOpISoL\ VoPZnTanW`mY`lZ`k_`j`_ia_ib_hc_gdZffZeiZemZdrYcvYb\ zYazYavV_rTYmRWhPUcNSZLPUJMQHJMFGJDDGBBC999786968A\ 5AC4BD3DF2FG1GI0IJ0KL0LM1NN0OS5LUAJUFHUKFUPDUSDUWE\ UXEUWFUVGUVHUUIUUJUTKUSLUSMURNUROXQP_QQaPRdOSgOTiN\ UlNVoMWqMXpNVoNUoOTnOSnOQmPPmPOlQNlQLkQKkRJjRIjRGi\ SFiSEhTDhTBgTAgU9fU8fU7eS9dRAcQBbPCaODaNF`MG_LHZJI\ YIJXHKXGMWFNVEOUDPTCQTGRYKQaUPecOkmNnrMrvLzzKzzMvv\ OrrQnmSmhTkdVibXg`ZeZ`dYacXccWdcVecUgbThbSibRkbQla\ PmaOoaNqaMs`Lu`Kv`Jw`IxXMyUQzRUzOVzLWzIXzFYzHZzJYz\ L_zM`zOazQbzSczTdzTezTfzSgzShzSizSjzSkzSlzSmzSnzSo\ zSpzSqzSrzSszStzSuzSvzSwz } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 29-09-13 (Light in the Night [A-9,M-6])
by Jim Muth 29 Sep '13

29 Sep '13

FOTD -- September 29, 2013 (Rating A-9,M-6) Fractal visionaries and enthusiasts: The artistic aspect of today's image rates a superior 9. (Only my humility prevents me from telling that my own effort created the superior coloring that earns the rating.) The math aspect rates merely an FOTD-average 6. The reason is that we have been to this part of the fractal world a few times too many already. The parent fractal is the same one that gave us the most recent FOTD, the one for September 27. Today however we check into the East Valley area of the parent, where we find many groups of small islands just offshore of the main valley, which is really a peninsula. Today's scene is located in one of these groups. I named the image "Light in the Night" because, at least to me, the central minibrot seems to be illuminating the surrounding deep blue elements. The calculation time of 1-1/2 minutes is about FOTD average. But considering the high rating of today's image, it is a pretty good bargain. Visiting the web sites is an even better bargain. So save time and let someone else do the calculating. View the finished image on the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Pleasant weather prevailed today here at Fractal Central. The puffy white clouds decorated the blue sky perfectly, while the temperature of 70F 21C was just what the doctor ordered for the fractal cat. The fractal humans enjoyed things just as they were. The next FOTD will be posted in the proper time. Until that time arrives, take care, and a longer, politically-based discussion is posted on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Light_in_the_Night { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=-0.202251008/+0.05744782/4472/1/-20/0 params=0.001/-1/0.5/1/1/2/0.2/-0.5/0.225801130332/0 float=y maxiter=1000 inside=0 logmap=27 periodicity=6 colors=00000I00M00Q00U00Y00a00e00i00m00q05u0Aw0Fx0\ Ky0Pz0Vz2Xz6`zAWzENzJGzOAlTDgYEdbH`gJYnMUcccmmmzzL\ zvHzrEzmCzh9zc7zc5zc2zc0zc0zZ0zT0yK0yA0r00r00m00m0\ 0p04p01f00a00V00Z00S00L00F006000006_zMiwdsovzzozlg\ yn`woUsqOqqGnsAiu5gw0dy0by0dq0fl0gf0i`0lU0nP0nL0oG\ 0qA0s60u20w00w00l20bA0UJ0MR0E`07l01w00z01z26z7CzDH\ zHOzOUzgR0oD0w10z00z00z20z90zE0zM0zT0z`0zg0zY0zO7z\ GHz7Tz0dz0qz0Wz0Dz00z00z00z00z50zC0zJ4zR6zHAz9Ez2J\ z0Oz0Tz0Yz0`z0dz7gzHlzTofdsgqwizzz0gz0Wz0zz0zz0zz0\ zz0zz5zzAzzGzzMzzPzzRzzTzzUzz_zzdzzizznzzRzz`zzlzz\ wzzfzzHzzHzzHzzHzz7zzGzzPzz_zzgzzlz4nz4oz5qz6sz6uz\ 7wz9yz9zzAzyCzwCzwDzuEzsHzsPzqYzoYzoYzqYzqYzsfzsoz\ dozgoznozsozwozzoz0ozLozYozlyzzzzzzz0zz0zzLzzPzzUz\ z_zzdzzizzozzszzuzzuzzWzzAzz0zzzzzzzzzzzzzzz2zz4zz\ 5zz6zz9zzAzzCzzDzzEzzLzzPzzUzz_zzezzkzzozzzzzszzqz\ zozznzzlzzizzgzzgzzfzzdzz } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 27-09-13 (Bright Busy-Body [A-8,M-6])
by Jim Muth 27 Sep '13

27 Sep '13

FOTD -- September 27, 2013 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image takes us back to yesterday's Julibrot though not to yesterday's parent fractal. Today's parent results when yesterday's expression is calculated with Z initialized to the second critical point of the expression, which is 0.225... And like yesterday's parent fractal, today's is also indescribable, though unlike yesterday's it has X-axis symmetry. The closest I can come to describing this parent is to call it part of a Mandelbrot set with its west half mostly covered by debris. Today's scene lies in the northern branch of an apparent Seahorse Valley. I see a lot of East Valley type stuff in it however. The image is unusually brilliant and filled with an incredible amount of detail. This inspired the name "Bright Busy-Body", which does not imply an intelligent old lady who puts her nose into everyone's affairs. The artistic worth of 8 exceeds the math value of 6, while the calculation time of 6 minutes is admittedly excessive. This excessive time is where the web sites will rush to the rescue. To see the image without the annoying chore of calculating it, check the official FOTD web site, where the non-fractal political and philosophical stuff will also be posted whenever I feel like writing some. The official site may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> The finished image is also posted at the following sites: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The weather was perfect here at Fractal Central today. Even the usual early morning fog failed to appear, leaving a mostly sunny day with a temperature of 72F 22C. The fractal cat enjoyed the comfortable conditions so much that he fell asleep in the chair that is both his favorite and my favorite, while the humans did the dull boring things humans do to fill the days of life. The next FOTD will most likely not be posted until Sep. 29, two days from today. Until the exact moment arrives, take care, and eventually, one of those TV doomsday shows will be right. So have a good day while you can. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Bright_Busy-Body { ; time=0:06:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident center-mag=-0.4740180835799229/+0.0042146989041171\ /2.105777e+010/1/115/0 params=0.001/-1/0.5/1/1/2/\ 0.2/-0.5/0.225801130332/0 float=y maxiter=1800 inside=0 logmap=242 periodicity=6 colors=00020U40P50L60G90CA07C04D00E00L04P2CUAL_JTe\ ZkkdponyzzzsqzqiyodunYolTliMggHdgC_f7Wd2Tb0P`0L_0H\ Y0EY0CM0JD0P50W00b00s00w00y00z00z00z00z20z62zA4wE6\ sJ7oOAlTDgYEdbH`gJYnMUsPRyROzULzWHzUEzUCzU9zU7zU5z\ U2zU0zT0zT0zT0yT0yT0wT0wT0wT0wP0z04z01p00k00d00Z00\ S00L00F006000006_zMiwdsovzzozlgyn`woUsqOqqGnsAiu5g\ w0dy0by0dq0fl0gf0i`0lU0nP0nL0oG0qA0s60u20w00w00l20\ bA0UJ0MR0E`07l01w00z01z26z7CzDHzHOzOUzgR0oD0w10z00\ z00z20z90zE0zM0zT0z`0zg0sY0dO7PGHD7T10d00q00W00D40\ 0700000500D50MC0WJ4dR6`HA_9EY2JU0OT0TR0YU0`W0d_7g`\ HlbTofdsgqwizzz0gz0Ww0Lo0Cg02`00_01Y57WAEUGMTMUHPL\ 9RD0T50U00_40d90iE0nLqRu_`bJlM5w94fHYHoYHoYHoYHoY7\ HYGU2Pg1_w1gz2lz4nz4oz5qz6sz6uz7wz9yz9zzAzyCzwCzwD\ zuEzsHzsPzqYzoYzoYzqYzqYzsfzsozdozgoznozsozwozzoz0\ ozLozYozlyzzzzzzz0zz0zzLzzPzzUzz_zzdzzizzozzszzuzz\ uzzWzzAzz0zz7zzMzzbzzuzzz } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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Fractint] FOTD 26-09-13 (Flying Flinders [A-5,M-?])
by Jim Muth 26 Sep '13

26 Sep '13

FOTD -- September 26, 2013 (Rating A-5,M-?) Fractal visionaries and enthusiasts: Today's unlikely scene came about when I mixed various parts of (1/Z), (Z), (Z^2) and Z^(-0.5) to produce a parent fractal almost beyond description. This quirky mixture has critical points at 0.225... and -0.262... Today's parent is the one that is created when Z is initialized to -0.262... The closest I can come to describing this parent is to say it vaguely resembles half a Mandelbrot set split right across the middle and giving birth to a shapeless blob. Today's scene is located in a valley on the west side of the blob. This parent fractal is indeed critical. This is confirmed by the intact M-set shaped minibrots that lurk in it. But today's image shows open holes of a different sort. These midgets, if they are minibrots at all, are shaped nothing like baby M-sets, they resemble something closer to stone-age arrowheads. And as a few zoom-ins will show, they fill the scene. I named the image "Flying Flinders", though I have no idea what might have just exploded and filled the air with the flinders. The artistic value of the image rates a humble 5. What more could I do for an image with so little going for it. I rated the math aspect at a question mark because the formula has nothing really new in it. But today's arrowhead minibrots are not all the parent has in it. With so many widely varied areas, who knows what might turn up. I'll give the parent a couple more good examinations before trashing it. The calculation time of 3-3/4 minutes is slow because the scene lies rather deep in a valley, and also because the formula is a slow one. Time may be saved by checking the finished image on one of the FOTD web sites. The web sites may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> After a foggy start, the afternoon turned perfect here at Fractal Central today, with photoshop blue skies, decorative cirrus clouds and a temperature of 72F 22C, which was right on the mark. The fractal cat was more interested in the increasing number of pigeons than in the weather. The humans took several glances at the weather, then turned to more human things. The next FOTD will be posted whenever it is. Until that magic moment arrives, and it could be as near as 24 hours, take care, and see you in the fractal shop soon. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Flying_Flinders { ; time=0:03:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=-0.407237276911/-0.005137093399/2406540\ /1/-20/0 params=0.001/-1/0.5/1/1/2/0.2/-0.5/\ -0.262049359699/0 float=y maxiter=2500 inside=0 logmap=76 periodicity=6 colors=000hzzdvzcsvcprdmmcjidhjefledmfcngbrfaof`lf\ _ieWfeUceU`dUYdUVdUScUPc6Md8JdAGdCDdEAdG5bI7`K9_MB\ YNDWPFVRHTTJSULQWNOYPN_RL`TPbVUdXZcYccZla_rX`sS_zM\ _wG_wIZwKZwNYzQYwTXvWXvXWuZWu`VtaVtbUscUucSsbUqaVo\ aWn`Xl_YjZ_iY`gXaeVbcUcbTd`SfZRgYQhWPiUOjTNkRQlQSm\ PUnOXnNZoM`pLbpJeqIgrHisGlsFntEpuDruCqtBpsBpsAor9o\ r9nq8mq7mp7lp6lo5kn5jn4jm3im3il2hl1gk1gk0fj0fj1gi2\ hh3hg4if4if5je6jd7kc8kb8lb9laAm`Bm_Bn_CoZDoYEpXFpW\ FqWGqVHrUIrTJsSJsSKtRLtQMuPMuPKsRJrSIpTGoVFnWElXCk\ ZBj_Ah`9ga7fc6dd5ce3bg2`h1_i0`i0Zj0Yj0Xk0Wk0Vk0Ul0\ Tl0Sl0Rm0Qm0Pn0On0Nn0Mo0Lo0Ko0Jp0Ip0Hq0Gq0Fq0Er0Dr\ 0Cr0Bs0As09s1Ar2Bq3Cp3Dp4Eo5Fn5Gn6Hm7Il7Jk8Kk9Lj9M\ iANiBOhBPgCQfDRfDSeETdFUdFVcGWbHXaHYaIZ`J__J`_KaZL\ bYKc_LbYMbXNbVObUPbSPbRQbPRbOSbMTbLUbJScGUbIVbKWaL\ XaNYaO_`Q``Ra_Tb_Uc_WdZXfZZgY_hYaiYcjXdlXfmWgnWioW\ jpVlqVmsUoYuXYuYZu__t`_ta } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 24-09-13 ( [A-9,M-7])
by Jim Muth 25 Sep '13

25 Sep '13

FOTD -- September 24, 2013 (Rating A-9,M-7) Fractal visionaries and enthusiasts: Today's image was created with a crazy mix of Z, Z^(2), Z^(-10) and Z^(0.5). This unlikely mix creates a parent fractal that is little more than a field of debris shaped roughly like an M-set, with a small minibrot near the origin. Most of the debris lies scattered west of this small minibrot, with today's scene located in the East Valley of an even tinier minibrot far out in the northwest part of the debris field. I named the image "Elephant Carousel" when I saw the eight elephants circling the central minibrot. The coloring came out very well, (If I don't say so myself.), and raises the art rating to a superior 9. The math rating of a 7 is more ordinary. The calculation time lays an egg however. The four minutes required to finish the job drags notably, but this slowdown may be avoided by checking the web sites. Check the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> and view the parent fractal plus variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Prime weather conditions prevailed today here at Fractal Central. Once the early morning fog cleared off, not a cloud was seen for the rest of the day. The temperature rose from a morning low of 36F +2C to an afternoon high of 72F 22C. The fractal cat would have enjoyed the fine weather better if FL had not disturbed his nap when she was seized by an uncontrollable desire to do some house cleaning. The next FOTD will be posted in a number of hours. Until the exact number is revealed, take care, and I will no longer post my non-fractal philosophical and political ideas to the Fractint list. Such stuff is really not fractal enough. But I will continue posting my thoughts to the official FOTD web site, where anything goes. I am even thinking of starting a blog where I will share what I have observed and concluded about the world and the human condition in my many (over 70) years of observation. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Elephant_Carousel { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident float=y center-mag=-3.832871390213217/+0.2351522367248324/\ 3.336978e+012/1/-52.5/0 params=0.5/1/1/2/0.005/-10\ /0.5/0.5/0.708507352728/0 maxiter=1700 inside=0 logmap=224 periodicity=6 mathtolerance=0.05/1 colors=00010E20G60H90JC0ME0PH0RJ1VM5XP9_RDaVHdXLg_\ PjaTmfXoj`rmduogxqhzrjztkzukzvgzxczy`zyXzvTyrQrnVk\ jXmj_nkaokdomhqmktnmvnqzopzouzqxzsyzuzzwzzzzzg`ccJ\ REEH116E0DT4IRCPRJVCh0Cd0zxE8uDzqD8nCzkC8gBzdB8a9z\ PRzNR`NRzMRdLRrLRdJRzSSqB5f40U100403B03M04W0Ef0Ro1\ dy3rz`zzzuzhozLjz0hz6gyEfvMduVzz630knqRggT`YVWPVPG\ WI6XD0XzNCyVHv`LufPrmVqrYnyamzffva_nYTgVN_RHTNBLJ5\ EH4CG3BG39G6BL9BPCCVGCYIDcLDgNDkTCjXBja9hf8hj8ha9k\ VBmMBnECo6Cq0Dr0Dt4CqHBoT9nf8kt6jz6htBkhEmYInNMqDB\ r3Vt0dz0Vr6EoDPmJNjQLgXIdcGajE`cMVYTPR_JMgEGn9Bu4B\ u4Dq9EmDHhHIdLJ`PMXTNTXPPaRLfTHjVDnX9rY5vnXcr``vd_\ yhXzmWzqVzmTxjRtfQocPk_NmXMcVL_QJdNIdJHdHGdEGdJHdP\ IdVJd_LddMdjNdoPduQdzRfzTYx_Qrdrkjrfqr_vrVzzt0zr1x\ r5rr9rrDrrHrrLrrPrrTrrXrr`rrdzrhzrmzrqzruztoztkztg\ zuczu_zuWzuRzvNzvzzvzzvzzxzzxzzxzzxzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 23-09-13 (Holey Whole Holes [A-8,M-7])
by Jim Muth 23 Sep '13

23 Sep '13

FOTD -- September 23, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's fancy minibrot lies in the parent fractal that comes about when various portions of Z^(1), Z^(2), Z^(3) and Z^(4) are combined on each iteration when Z has been initialized to the critical point of -2.028... This parent consists of an obviously critical though distorted Mandelbrot set in the normal orientation, with two large lobes sprouting from its East Valley area, pointing northeast and southeast. These extra lobes appear definitely non-critical, but they are surrounded by debris strings, which if searched, reveal curious critical areas. Today's scene lies in a string of this debris near the north end of the northeast lobe. The art rating of an 8 is mostly due to the coloring. It did take a bit of time to work up the color palette and apply it to the image. The math rating of a 7 is average. Nothing really new appears in the image or formula. The name "Holey Whole Holes" is admittedly silly, but before fractals were discovered, was the idea itself of so much from so little not considered silly? The calculation time is a nice even two minutes The official FOTD web site may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> The finished image plus variations is also available at the following three sites: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Morning clouds gave way to some afternoon sun here at Fractal Central today, while the temperature of 63F 17C kept the proper autumn feel in the air. The fractal cat would have preferred a bit less autumn. The humans had an average day, which means busy but uneventful. The next FOTD will appear, that much is sure. The exact time of the appearance is the question. Until the moment of appearance arrives, take care, and from now on, the daily opinion, if any, will appear in the version of the FOTD discussion posted to the official FOTD web site. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Holey_Whole_Holes { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident center-mag=+0.6806271408250889/+1.231736508659757/\ 4.5211e+007/1/145/0 params=1/1/0.1/2/0.06/3/0.04/4\ /-2.028128089682/0 float=y maxiter=1500 inside=0 logmap=110 periodicity=6 colors=000QEAOD9MC7KB7I96G75E64C42A318106004002000\ 00tVOqUNoSMlRLiPKgOJdMIbLG_KFXIEVHDSFCQEBNCAKB9IA7\ F86D75A54743522211ZzzOzzMzzKzwIwsHtoGqlFmiEjfDgcCc\ `B`YAXV9US8RO7NL6KIKGFcKCmU9sc6zm3zx0zt0zq0zm0zj0z\ zzzvzzrzzmzzhzzczzZzzUzzPzcKzKFz0Az05z3az2Zu2Wq2Tm\ 2Ri1Od1L`1JW1GR1DM0AI08D058024ZBVWAST9QQ8NO7LL6JI5\ GG5ED4BA39827514202vW3rU2oS2lQ2iP2fN2cL2`K1YI1VG1R\ F1OD1LB1IA0F80C60950630310NL0YX`1n`0kZ0hX0fV0cT0aR\ 0ZP0XO0UM0SK0PI0MG0KE0HC0FB0C90A7075053021B2LA1Kc1\ Jc1Ic1Hc1Gc1Fc1Ec1Dc1Cc1Bc1Ac09c08c07c06c05c04kjxi\ pxhuxensbgo`akYVgWPcTI_RCWTBXUAXW9XX8YZ7Y_6Ya6Zb5Z\ d4Ze3_g2_h1_i1_k7alKcmKenKgpKiqKkrUmsUoiUqcWscPucP\ wcUzcUzcczcczcczcczcczcmzcmzcmzcmzcmzcmzcmzmmzmmzm\ mzmmzzmzzmzzmzzmzzmzzmzzmzzmzzz8zz6zz5zz4zz3zz2zz1\ zzPzzhzzfzzdzzbzz`zzZzzXzzVzzUzzSzzQzzOzzMzzKzzIzz\ GzzFzzDzzBzz9zz7zz5zz3zz1 } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 22-09-13 (Ringworld Fantasy [A-7,M-6])
by Jim Muth 22 Sep '13

22 Sep '13

FOTD -- September 22, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image lies in the oversized monstrosity of a fractal that results when 3.3 negative parts of Z^(-1.3) are combined with 1.3 negative parts of Z^(-3.3) on each iteration before (1/C) is added. This parent fractal is an immense thing, extending far beyond the default screen. It consists of two giant rings surrounded by smaller rings, some connected, some not, with a large Mandelbrot set between the two giant rings. The 0,0 point lies on the western perimeter of the southern ring; today's scene lies on the eastern perimeter of the same ring. I have not yet checked the large Mandelbrot set, though I might do so in a day or so. I have found that these blatant M-sets usually contain mostly typical M-set stuff, and little new stuff, with the really unusual features lying in the least likely places of the parent. The name "Ringworld Fantasy" came about when I found myself pondering other possible worlds. I seem to be entering one of those philosophical spells that come every few years, and the effects are likely to show in the FOTD titles of the next month or so, as well as the closing philosophizing. The artistic rating of a 7 is due mostly to the strong coloring. The math rating of a 6 shows that there is really no new math in the image. The calculation time of 1-3/4 minutes will pass quickly enough. It will pass even quicker for those who fill the time pondering the meaning of life. Relief for built up emotional stress may be found by viewing the finished image online at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Morning sun and afternoon clouds made the day eminently forgettable here at Fractal Central. The temperature of 66F 19C was mild enough. The fractal cat, who is never bothered by clouds, spent the afternoon as a lump under a chair cover. The credulous humans made it through the day with little difficulty or emotional stress. The next FOTD will be posted before too long. Until that unknown time arrives, check the FOTD web site for the non-fractal political etc. philosophy, if interested. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Ringworld_Fantasy { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+6.614872334534/+0.252350032949/5473663\ /1/115/0 params=-3.3/-1.3/-1.3/-7.3/0/0/0/0 float=y maxiter=1500 inside=0 logmap=115 periodicity=6 colors=000xbux`uxZuxXtxVsxSqxPoxMmxJstFkjFWoGZeCTg\ BNZAIZ8DL67N63D30C20320000720B30G40M60V90XA0gD2iE3\ oH5mG5tJ7uJ8xQ7xN8xK9sH9oF8kC8f88a79Z89`HI`DNaLVcL\ ei_qlaumptgjlakgXo_ZttTxcIzLJtLQzRTrTXnVanZV_TingZ\ cWTXLQT8MP0JM0FR0CU0mm5mmAzzEmmKmmJ5Pz7KzBHzCEzHJw\ KPwTXwJNw9Fw4Bm08m05m0Ac4FcCMcLScVY3TT5TQ9SMBSJDSE\ DQ9EQ6GQ4JT7HXEJ`KKcTNgZOkcNmiMcaLVWKPSJHMFCHA9CC6\ 8CSVYsvufrlWzjNzdHrTBYHgxsxzuxzuch`9O8070033D6UCBT\ FLTETTEeUAUO9NJ8HF6BA34612302042596CFFJMPRW__cihks\ spzujpj`eYQVOPSKNKBNE32876AGAAQFB_KBjQDuUEuDfuAYg6\ QM6M94J07O4AR8CUCDYGGaLIeQJhUHnTGrTFvTEzSDzSCzSAzQ\ PxSHnNBeJ6XG8XI9XKAXMBXOIYRS_U`eYingingsxqxzuqvnin\ gfnb_nUTnNMnIGnCCn74n`DnZVn_gnbxncxkWxjRxiMx`GxiBx\ s8xz6xz6xu6xq6xr6xr6xr6xr6xr6xz6xz7xzAxzFxzJxzIxzH\ xznxzrxztxzuxzuxzuxzuxzuxzpxzcxzTxzKxzCxzBxzAxz9xz\ 8xz8xz7xzMxzexzuxzuxzuxzu } 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 19/20-09-13
by Brian Prentice 20 Sep '13

20 Sep '13

Jim's recent MandelbrotBC3 parent is very rich in midgets. Here are three more: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_19_38a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_19_38b.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_19_38c.png Brian Prentice

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FOTD 20-09-13 (Sandy Symmetry [A-6,M-7])
by Jim Muth 20 Sep '13

20 Sep '13

FOTD -- September 20, 2013 (Rating A-6,M-7) Fractal visionaries and enthusiasts: Today's image lies in the same parent fractal as yesterday's, but it is located far from the area where yesterday's was found. Today's image lies in a field of debris in the northwest quadrant of the parent, just north of the X-axis where the axis intersects the western edge of the football-shaped main bay. I named the image "Sandy Symmetry" when I noticed that the large minibrot is symmetrical with respect to its center. The most unusual aspect is that, despite the symmetry of the minibrot, the lower iteration parts of the surrounding pattern have no symmetry at all. With more time, I might have found a better color palette for the image. As it is, I could rate the art aspect no higher than a modest 6. But at a rating of an above-average 7, the math aspect takes some of the sting out of the missing artistic worth. The calculation time of 2-1/2 minutes will seem to pass faster when there is some other activity to fill the wait. The fastest way of all to view the image is to check the web sites. The completed image is available on the web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Early morning fog gave way to partly cloudy skies by 10am here at Fractal Central, with an afternoon temperature of 79F 26C. The fractal cat slept through most of the fine weather, wondering why the humans were so busy doing unnecessary human things. The next FOTD will appear almost by magic in the appropriate time. Until that time arrives, take care, and the U.S. is not only the most frightening nation on earth, it is also apparently the most frightened. (I do not call our country 'America' because this is the name of the continent.) But what are we so frightened of that makes so many of us turn our homes into virtual armories and respond with such anger when we hear anything that might reduce free access to guns? I doubt that any other country would be able to defeat our military forces and turn us into slaves without destroying themselves and the entire planet in the process. As I see it, we are basically frightened of our mortality, which is the underlying fear infesting our modern technologically advanced but spiritually bankrupt culture! The other threats simply serve as things that make our spiritual fears appear more concrete and rational. I will have more to say about this curious situation in future discussions. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Sandy_Symmetry { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-1.148230552926612/+0.04356462695361098\ /1638.059/1/85/0 params=1.6666666666667/0/3.141592\ 65358979/0 float=y maxiter=6400 inside=0 logmap=27 periodicity=6 colors=00060A70B80C91DA2EB3FC4GD5HE6IF7JG8KH9LIAMJ\ BNKCOJCNIDLHEJGEHFFGEGEDGCCHABI9AI79J58K38K2AN5FQ7\ KS9PVBUYDZ_FcbHheJmgKrjKvmKzoKzrKzuKzzKzzKzzKzzKzz\ PzzUzzczzhzzmzzzzzzzzzzzzzzzzznmKpmFqzCrzEnzFjzGfz\ IczJ_zKWzMSzLTzLTzLTzLTzLTzKUzKUzKUzKUzKUzKUzJVzJV\ zJVzJVzJVzIWzIWzIWzIWmIWmFVmIWmKWmMWmLWmLWmLWmKWmK\ WmKWmJWmJWmJWmIWmIWmIWmHWmHWmHWmGWmGWmGWmFWcFWcFWc\ FWcEUcETcEScERcEQUEPUEOTENTEMUELUEKUEJVEIVEHVEGVEF\ _DIdDLiCNnCQsBTxBVrCXlDZfE_`FaTIdWGbZE``C_cBYe9Xh7\ Vj6Ui8Ti9SiBShCRhDQhFQgGPgHOg8Sk6Uo5VGzZGzYGzXGzWH\ zVHzUHzTHzSIzQIzPIzOIzNJzMJzLJzKJzJUzmUzmUzmUzmUzm\ UzmUzmUzmZzmZzmZzmZzmZzmZzmZzmZzmhzzhzzhzzhzzhzzhz\ zhzzhzzhzzhzzhzzhzzhzzhzzhzzhzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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AOTD 9_17_23
by JackOfTradeZ＠comcast.net 20 Sep '13

20 Sep '13

. someone axed: ""Was wondering if the soundtrack is based upon this particular FOTD image/video, or was generated from some other source??"" I have many fractal sounds on my HD, this one is titled "julia1.mid", dated 1997. Don't remember where I got it. Also been playing around with FractMus 2000 many years - excellent freeware fractal music generator, but it helps if you "know music" which I don't. I wish there was a way to generate sound directly from my animations, or at least from the parent image. My problem would be solved, as I am running out of soundtrax about now ..... .

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FOTD 19-09-13 (Lime PI in the Sky [A-6,M-6])
by Jim Muth 19 Sep '13

19 Sep '13

FOTD -- September 19, 2013 (Rating A-6,M-6) Fractal visionaries and enthusiasts: Today's image takes us to the world that results when the expression Z^1.666... is iterated PI levels up the hyperladder. This world is a parent fractal with a football shaped main bay centered at the origin, with XY symmetry and large buds on the Y-axis at the north and south edges of the football. Except for these two prominent buds, the shore line of the fractal, though lined with sandy debris, is exceptionally free of buds. A prominent minibrot lies in the debris on the ENE shore line of the main bay. This minibrot also exists in the other three symmetrical quadrants. Today's scene lies near another minibrot near the large prominent northeast minibrot, but beyond its field of influence. The image has a somewhat creepy feeling, with the yellowish tendrils reaching outward from the minibrot in the upper left corner, ready to wrap around and snatch away any fractalist unwary enough to stray within reach. I named the image "Lime PI in the Sky" as kind of a joke. Key lime pie is my favorite pie, and PI is a transcendental number, which certainly has no flavor. Also, 'pie in the sky' is what is sometimes said of the dream of those who put too much faith in hypothetical bliss to come in the sky in heaven after they die. (I'm not saying it isn't so, but I have yet to see any convincing signs that it is.) The rating of both the art and math aspects is an everyday 6, while the lengthy calculation time of 3-1/3 minutes removes any pretense of the image being a bargain. Salvation of the material kind is available on the FOTD web sites. For calculation relief, the image may be viewed already calculated on the following web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Cloudless skies and a temperature of 75F 24C made today nearly ideal here at Fractal Central. The fractal cat celebrated the fine outside weather from the inside. Instead of sleeping the afternoon away, he got in the mood for play, and satisfied himself when I brought out a string, which he chased and caught. The humans had more mundane things to do. The next FOTD will be posted when I get a round tuit. Until I find the tuit, take care, and people report seeing things such as alien spaceships, bigfoots, lake monsters, ghosts and fairies, etc., etc. And people also report being abducted, taken into alien space ships and examined by the aliens. It is very unlikely that all these people are lying, yet any sensible person knows that such things do not exist. If they did, especially with so many cameras everywhere, we would have solid evidence. So where are the bigfoot bodies? Where are the unambiguous photos of alien space ships? Where are the ghost photos that look like something more than a condensation cloud? Where are the recorded spirit voices that sound like more than static? Absolutely everyone who reports experiencing something that science implies is impossible cannot be lying, mistaken or deluded. What do these contradictions mean? The contradictions are good ideas for topics of future discussions however. I'll take them one at a time with no guarantee of making anyone, especially born again believers or born again skeptics, happy. Jim (good with fractals but bad with common sense) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Lime_PI_in_the_Sky { ; time=0:03:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.935424261758573/+0.3869284494344593/\ 30973/1/-120/-1.23147186892325067e-011 logmap=163 params=1.6666666666667/0/3.1415926535898/0 float=y maxiter=2750 inside=0 periodicity=6 mathtolerance=/1 colors=0008ZY8ZX8YW8YV7XU7XT7XS7WR6WQ6VP6UO6TN5SM5\ RL5QK4OZ4NU4LP4KK3II3HH3FG3EE2CD2BB29A28949B69C8AD\ 9AFBBGDBHECJGCKIDLKDNKEOKEPKFRKFSKGTKGVKHWKHXKIZKI\ _KJUKJUKKUKKUKLUKLUKMUKMUKNUKNUKNUKNUKNUKNUKNUKOUe\ OhdOhcOhcOhbOhaOh`Oh_Ph_PhZPhYPhXPhWPhVPhVQhUQhTQU\ SQURQUQQUQQUPQUORUNRUMRUMRULRUKRUJRUISUHSUHSUGSUFS\ UESUDSUCUUDSUDQUEOUEMUEKUFIUFGUGFUGDUGBUH9UU7VU5TU\ 3SU2RU3QU3QU3QU3PU3PU3PU3OU3OU3OU3NU4NU4NU4NU4MU4M\ U4MU4LU4LU4LU4KU4KU5KU5KU5JU5JU5JU5IU5IU5IU5HU5HU5\ HU6HU6GU6GU6GU6FU6FU6FU6EU6EU6EU4FU6EI7EJ8EK9EKADL\ BDMDDNEDNFDOGCPHCQICQJCRLBSMBTNBTOBUPBVQAWSAWTAXUA\ YVAZW9_X9mc9mc9mc8mc8mc8mc8md8mf7zzUzzUzzUzzUzzUzz\ UzzUzzUzzczzczzczzczzczzczzczzcmscmrcmrcmqcmqcmpcm\ pcmocmocmncmncmmcIocGqbDtdBwfUzhUzkcznczqczsczuczw\ mzxmzymzzmzzmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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AOTD 9_17_13
by JackOfTradeZ＠comcast.net 18 Sep '13

18 Sep '13

. Animation of FOTD [Sept. 16, 2013: Mystical Minibrot] is posted. Nice illustration of period doubling during last stretch. Fractal soundtrack. 28 MEG http://www.fractal-animation.net/vid/jewelintheblue.zip Enjoy! .

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FOTD 18-09-13 (Super Abundance [A-8,M-6])
by Jim Muth 18 Sep '13

18 Sep '13

FOTD -- September 18, 2013 (Rating A-8,M-6) Fractal visionaries and enthusiasts: In today's quest, we have combined 0.5 part of Z^2 with 0.1 part of Z^3 on each iteration before adding C. This combination produces a parent fractal with a large oval-shaped main bay with large buds on its north and south shores. Today's scene lies in a spurious valley inside the north bud. I named the image "Super Abundance" because, at least in my opinion, it is filled with far too much high-contrast garish detail and colors that are too intense. But despite all this, I have rated the artistic aspect an 8. The math aspect rates an everyday 6. The excessive intensity is a result of rendering the scene with the inside set to 'bof60' and the outside set to 'tdis'. If I had toned down the colors and contrast a little, I might have been able to raise the art rating another half-point or so. Such intensity comes at a cost. The calculation time of 4-1/2 minutes is annoyingly slow, and could easily give impatience a chance to raise its head, which could lead to disappointment. This risk may be eliminated by visiting one or all of the FOTD web sites. Don't be disappointed. Check the finished images at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Cloudless blue skies again prevailed here at Fractal Central today. The day began at a chilly temperature of 39F +4C but the brilliant sun raised the afternoon temperature to a pleasant 70F 21C. The fractal cat must have decided the day was too cold. He spent most of the afternoon curled up tight in my chair. The fractal humans passed the day wondering about world events. The next FOTD will most likely be posted in 24 hours. Until then, take care, and we hear so often about the latest senseless slaughter, or the need for more gun control, or the impending disaster of 'man-made' climate change, but why do we so rarely hear about the spiritual bankruptcy of our modern, addicted, technological culture, which is the underlying cause of all the senseless craziness. I say this even though I am basically non- religious. To me, spirituality does not mean faith in a particular god or savior. It means having a knowledge of the spiritual beings we actually are, and of the one-ness of everything in the universe. And the older I grow, the more I become convinced that science and its devoted skeptics, as well as the gadgets it has created, are a major part of the problem. (And no, I do not want to do away with modern conveniences.) More later. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Super_Abundance { ; time=0:04:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-2.508735663218/+1.592871522975/1658169\ /1/-50/0 params=0.5/2/0.1/3/0/0/0/0 maxiter=3000 float=y inside=bof60 outside=tdis periodicity=6 colors=000MmbLi`FdP9YE5P51I11F12E12B13713504405305\ 20610711811A11B11C11E11E11G22I22L33N34P35S36U47Y49\ _5A`6Bd8Df8Fh9GjBHmBJqDJqJLuOMxTLzZLzbLzfKzjYznezq\ mzoKzkNzgRzdVxa_sX`oRajNbfIdcEhaBo_8sY8zV8zT8zD8zQ\ 8zc8ze8zf8zf8zh8zh8xh7si7oh6jj6fs7dj6ed5f`6hY6mT7o\ Q7qM7sJ8xG8zD8UA8XC8_C8`F8aG8bIAcKDkMGhOIeRLbRN_PK\ XKEUG8d64W22F1180060040040040040000101401202603B14\ F36L77SB9YHAdLBmSDsYEzdEziJjSJSDPF3Y64h76u87zA8z98\ z88z88z88z89z8Dz8Gz8Kz8Nz8Tz8Rm6Ob5KS3HI3GB4E65C15\ B16B18C19E2BF2CF2DG2EI3GI5HK6JL7LN8MNANPBPRDRREQSF\ RUFPUGQWGOWHPYIOYIP_CMYIP_NR`SU`YYb`_dcadfcfmfjsjn\ zmrzoszquzsvzkqzenqZihQc`K_VFYO9UI6SE3R93N53L22K73\ LC5NKCNRLQ_YYjd`uodzyesjXfXQWLINAB98zmIfjDih9jg7og\ 7qc9o_CmWGjTKhRQfOSdJUbEX`C`_9h_7oZ7uZ8zY8zYNzpszz\ mzyfspamgVh`RbULYMGSEBP98K24F23B12C11E11E12F32G52G\ 82FB2C92C9BzCGzNLzZNz_Oza } 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 17-09-13 (Seahorse Symphony [A-8,M-8])
by Jim Muth 18 Sep '13

18 Sep '13

FOTD -- September 17, 2013 (Rating A-8,M-8) Fractal visionaries and enthusiasts: Today's striking image combines four parts of straight Z with three parts of Z^2, two parts of Z^3 and only one part of Z^4 on each iteration before adding straight C. This whimsical assemblage of numbers creates a parent fractal that is basically a classic Mandelbrot set. This M-set however is surrounded by a vast cloud of satellite dots, each of which is an entire fractal universe. Today's scene is located in one of these island universes in the interior of the north branch of Seahorse Valley of the parent M-set. The terraced effect was created by rendering the image with the outside set to 'tdis', which measures the total distance a point travels before it escapes over the fractal horizon. The critical point of today's concoction was rather easy to find. When the first rough approximation registered -0.9998..., it was a pretty sure sign that the exact critical point is likely minus-1, a common critical point. When I entered this value, it proved to be correct. The art and math values both rate an 8, at least in my opinion. The rather slow calculation time of 3-1/2 minutes is a drawback however, though the web sites can take care of this time problem. Checking the following web sites will save time. <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A cloudless sky and a temperature of 66F 19C made today near perfect for the end of summer here at Fractal Central. The fractal cat must have thought so as he sat on his scratching post and pondered the pigeons feeding in the back yard. The humans spent the day wondering what is wrong with the world. The next FOTD will be posted in the right divine time. Until the deity speaks, take care, and when a man kills 12 people with a gun, blame the gun, then try to get the politicians to pass legislation that would reduce the number of mass shootings. (I'll have much more to say about such simple minded thinking in a day or two.) Jim (neither on the right nor the left) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Seahorse_Symphony { ; time=0:03:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=+0.7859446718496711/+0.0203918179218428\ /3.352754e+009/1/-75/0 params=4/1/3/2/2/3/1/4/-1/0 float=y maxiter=900 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000OzaMzcLx`JrYJlXIdTG_SGTPFMOFGLDAJC3GC0FA\ 0CA0AC06D33FA0GJ0IS0I_0FV0DS0AP19M46J74GA1DD0AG07J\ 04M01P00L00G00C00700G91PS7XjDdzjfzrzzdlfLrP0K90K4K\ l0Ug0ac0f_0jV0oXFrYTu_gy`vzazzazsdzifyYguOipCjm1lj\ IdiY_fmTdzOTpgIdzaMpv4gz0_6zzCxvIrjOlYSfM`cXgado`m\ v_voVyiQzcMzXIzQDzL9zF6zLCzQIzXMzOIzFFz4Az07z04z03\ zMdMG`OCXP6SQ0OS0JTFCQY4Op0Lz0JrYPczTVzQOvOFoL7gI0\ `F0TD0XL0_S1`_4cf7dmIjdSoXauOjyFuz6zz0zz0yV1l0DjD7\ jd1oi4rl7uoAyrDzuGzxJzzMupGggAVY4IP04G0GIPQIrXMjaP\ dgT_lXTr_OxcIzfCzi6SzaTzTVzMVzFGzL1zP_r09fA4_G0SM0\ LS0DY06a04c03d43dA1fG0gL0gX4Xf9MrDAzI0pMAdQLTVVJ_d\ 7co0gy0jz9QlV6Qp06OJX0ou0im0df0__0VS0QL0LD0G60C04F\ 6OICfLJxMPyOOzPLzQJzQGzSFzTCzVAzV9z_AscCjgDclFVpFM\ uGFyI6zJJQfPQdVQa`Q_fQXjQVdSY`S`XScSSdOSgJSjFSlJTa\ MTTPTJSTAVT1TMFSGQQ9cP3oO0zM0zI4zFJzII0JP0LX0Mc1Mj\ 6OrAPyFPzI_zPgzXpzagz_`pX } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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Fractal Music
by Albrecht Niekamp 18 Sep '13

18 Sep '13

Thread Closed Unsubscribing Albrecht Niekamp

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Fractal Music 4 Update
by Albrecht Niekamp 18 Sep '13

18 Sep '13

Hi, there´s an important update to the rhythm piece 170913d2 published yesterday: That steady background beat is important for the shifting rhythm but also maybe considered disturbing sometimes. I managed to get rid of it completely but neverthess not affecting the flow of the rhythm. The links are still valid, if you already have downloaded pls do it again replacing yesterday´s files, only the mid and wav files with above name. Please tell me what you think. Those of you who know me from the multifractal times are aware that I need some feedback to go on, that hasn´t changed. Albrecht

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Fractal Music 4
by Albrecht Niekamp 17 Sep '13

17 Sep '13

Hi, for me today´s fractal music is the best sofar, the rhythm piece is a killer, beware of a heart attack! Use your surround system and play at high volume. : The shifting rhythm variation today features 5 groups, each one the same instrument left and right. I haven´t explained my system sofar because it´s rather complicated of course and it would need some space to display. Tell me if you want me to do that. : I used a multifractal image, spiral1 for scanning of the melodic piece and a sierpinski for the rythmic piece. In order to display them copy them into the text editor and rename the file from *.txt to *.ifs and copy it into the fractint folder. : One more thing: If you intend to download the music published before please do so today. The space on the server is limited. : SIERPIN.IFS { 0.500 0.000 0.000 0.500 0.000 1.960 0.336 -0.250 0.430 -0.430 -0.250 1.820 -0.680 0.332 -0.250 -0.430 0.430 -0.250 -1.420 -0.880 0.332 } SPIRAL1.IFS { 0.788 -0.424 0.242 0.860 1.649 5.431 0.896 -0.121 0.258 0.152 0.053 -6.722 1.377 0.052 0.182 -0.136 0.091 0.182 6.086 1.568 0.052 } https://www.dropbox.com/s/6y3fwo5riqnevg4/STRNGBU7.bmp : https://www.dropbox.com/s/b8uaxegvmg29i4p/170913D2.MID https://www.dropbox.com/s/u2ugerstddkgbdg/17091302.MID https://www.dropbox.com/s/2x2611wsiw9jlqj/170913D2.wav https://www.dropbox.com/s/slzeaz6ecrmmk9r/17091302.wav : Albrecht

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Re: [Fractint] FOTD 16-09-13 (Mystical Minibrot [A-9,M-7])
by Hal Lane 17 Sep '13

17 Sep '13

Brian, I think I'm most partial to your 2nd image -- with the zebra stripes. - Hal Lane ######################## # hallane(a)earthlink.net ######################## ====================================================== Author: Brian Prentice Date: 2013-09-16 19:20 -400 To: Fractint and General Fractals Discussion Subject: Re: [Fractint] FOTD 16-09-13 (Mystical Minibrot [A-9,M-7]) Here are three details from the parent of this fractal image: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_35a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_35b.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_35c.png Brian Prentice =======================================================

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Re: [Fractint] FOTD 16-09-13 (Mystical Minibrot [A-9,M-7])
by Brian Prentice 17 Sep '13

17 Sep '13

Here are three details from the parent of this fractal image: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_35a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_35b.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_35c.png Brian Prentice

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FOTD 16-09-13 (Mystical Minibrot [A-9,M-7])
by Jim Muth 16 Sep '13

16 Sep '13

FOTD -- September 16, 2013 (Rating A-9,M-7) Fractal visionaries and enthusiasts: Today's image of a fancy minibrot lies in the parent fractal that results when 4 parts of straight Z, 3 parts of Z^2, 2 parts of Z^3, and 1 part of Z^4 are mixed together before C is added on each iteration. This combination has a convenient critical value of -1, which produces a parent fractal of a basic classic Mandelbrot set surrounded by a field of disconnected dots, with each dot containing an entire fractal universe. Today's image lies in a string in a dot near the tip of the main spike of the parent M-set. Its artistic worth of 9 is mostly due to my extra work. The math rating of a 7 is about FOTD average. The name "Mystical Minibrot" might be an exaggeration, but then again, maybe not. After all, every fractal is kind of mystical, since we never know the details of what they might hold until we actually go there and look. Today's image calculates in a speedy one minute, leaving ample time for any tasks that might be more pressing and need to be done. A little bit of extra time might be saved by checking the finished image at the following web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began with a brief shower here at Fractal Central. When the shower ended the clouds remained however, and the rest of the day was cloudy with a temperature of 70F 21C and only a few brief bursts of sun. The fractal cat, now nearing senior cat status, slept through most of the non-excitement, while the fractal humans watched the news of the latest shooting. The next FOTD will definitely be posted within a reasonable time. Its rating is yet to be determined. Until the fractal appears, take care, and we must pass some laws to end these outrageous shootings. Let's pass a law prohibiting the anger that causes a shooter go out and kill innocent people to avenge a perceived wrong that was done to him. Jim (both left and right) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Mystical_Minibrot { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=+0.44089178013265180/+0.000008999523773\ 35/2.5e+012/1/-158.25/0 params=4/1/3/2/2/3/1/4/-1/0 float=y maxiter=750 inside=0 logmap=54 periodicity=6 mathtolerance=0.05/1 colors=00000D00H00K00P00W00_00c00g00l00p00z08z0Fz0\ Lz0Sz0Uz5WzAYzF_zKazPczUezUhzUkzUnzUqzUtzfwzpzzzzz\ zjxzcvzZtzRozOiyJcxGYwCSvALuCCuE0uG0qH8kJGfLN_NYVP\ ePSmJUxEWz8WzGUzNUzUSzaSzgSxoPtxPozNmzNizNgS00U00W\ 00Y00_00a00a00c00e00g00i00k00k00e00_00U00N06H0CC0H\ 80N20W00a00g00m00t00z00z00x00q00i00c00Y04P2AJ6GECL\ 6GU0J_0Pe0Uk0Yq0_o0ao0co4eoEgoNioYkogggicai_UkWNkS\ GmPAmL2mH0oE0oA0q60q40q40o40m20m20k0ao2am4ak8aiAae\ EacG_aJ__L_YP_US_SW_PYYNaYLcYJgYGiYEmYCoYAtW8vW4zW\ 2zW0zW0zW0zW0zU0zS0m00m00m00m04m0Am0Hm0Nm0Um0am0gm\ 0mm0vm0zm0zmYzzxxzocz_JzH0v20t80tC0tG0qJ6qNCqSHoWN\ o_Uoc_keYgeYceW_eWWgUSgUNgUJgSGiSziPziPziPzmUzoWzt\ _zvazvezxgzxkzzmzzqzztzzxzzzzzzzztzzmzzgzzazzWzzPz\ xHzvCzv6zt0zq0zo0zo0z_0zC0z00z00z00z02z0Cz0Lz0Wz0e\ z0ozmzzmmzmczmUzmJzkAzz0zvEzzSzzezztzzzzzzzzzzzzzz\ vzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 15-09-13 (Intricate Activity [A-7,M-7])
by Jim Muth 15 Sep '13

15 Sep '13

FOTD -- September 15, 2013 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image combines various negative portions of straight Z, Z^(2), Z^(3) and Z^(4) before adding straight C on each iteration. The critical initial value of Z is -0.623.... On the surface the parent fractal resembles a quartic Mandeloid rotated 180 degrees, but in its depths the parent takes on purely quadratic characteristics. Today's scene lies in a valley in a small distorted bud on the northeast shore line of the northwest lobe of the 3-lobed main bay of the parent. I named the image "Intricate Activity" because of the intricate patterns surrounding the central minibrot. This intricacy seems to be a typical part of images created from four separate exponents of Z, and might hold much fractal promise. The double rating of a 7 indicates that the image is somewhat above average, but nowhere near worth the 1/4 hour required to calculate it. If I had put more effort into the coloring, I might have been able to raise the art rating to a 7-1/2 or even an 8. Save lots of time by viewing the finished image on one of the web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began foggy and chilly, with a temperature of 43F +6C here at Fractal Central. The fog lifted by late morning however, leading to a mostly sunny and quite pleasant afternoon with a temperature of 72F 22C. The fractal cat enjoyed the outside conditions from his safe chair indoors. The humans meanwhile passed the day doing human things. The next FOTD will be posted when it is. Don't wonder about or expect anything more specific. Until whenever, take care, and I just found a Boltzmann Brain hiding under the basement stairs. I wonder where it came from and what it is thinking about. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Intricate_Activity { ; time=0:15:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=-0.0652065867037453/+0.6800952186939563\ /7e+011/1/107.5/0 params=-0.1/1/-0.3/2/-0.9/3/-0.8\ /4/-0.6233886628259/0 float=y maxiter=4200 inside=0 logmap=-583 periodicity=6 mathtolerance=0.05/1 colors=000c2Gd3He4If5Jg6Kh7Li8Mj9NkAOlBPmCQoDRpESr\ FTtGUuDLsADq75oACmDIkGOiIUgLSeOQcQOaTM_VK_YIa_GdbF\ gdDjgBmj9pm7sn5vq3ys2xt8wuDwvIvwOuwTuxYtycszhszmks\ acqQWrEPh2Od3Oa3OZ4OV4OS5OP5NL5NI6FizGazKez0Z_KKKO\ HGONLOTPOZTdmSSfQUSPWQNYNMULKKIJ0GH0EG0BE09D06BA4A\ K29U58Z78R97`B7hE6gG6eI5dK5mK6cM5YN4SP3MQ3GS2AT14U\ 16W97YH9_zAazCczDnzFssGpzFlzEhzDjzC`zB_sAYq9Wp8Un7\ Tm6Rl5Pj4Ni2Ni4Mh6Lg8KgAKfCJfDIeFHdHHdJGctXeoXfjcg\ fchaciXcjTckOclJcmBYnFcmJclNckRckVcjZcibcicchccgcc\ eccgcchcciccjcckcclccmccnccoccpccqccrhczhczhczhczh\ czhczhcrhczhczhczhczhczhczhczhczhczmczmczmczmczmcz\ mczmczmgzmfzmdzmczmazm`zm_zmYzmXzrczrczrczrczrczrc\ zrczrczrczrczrczrczrczrczrczrczzhzzhzzhzzhzzhzzhzz\ hzzhzzhzzhzzhzzhzzhzzhzzhzzhzzmzzmzzmzzmzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmz } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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Fractal Music 3
by Albrecht Niekamp 15 Sep '13

15 Sep '13

Hi, There is a another kind of manupulating my shifting rhythm which I saved for today: The left half of the 10 voices plays their part starting from the beginning, the right half plays yesterday´s part which simulated a long playing time. The result is some - lets say contrapunctic music and simply unbelievable. L I S T E N. Albrecht : The image again is Jim´s FOTD and the IFS Spiral1. : http://www.crosscanpuzzles.com/Aug13/082713.html https://www.dropbox.com/s/godhwk1fwsrwlhp/140913h1.MID https://www.dropbox.com/s/iakxejrpczfvuo7/140913h1.wav

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I've been remiss in posting Jim's FOTD parent fractals.
by Hal Lane 15 Sep '13

15 Sep '13

I've been remiss in posting Jim's FOTD parent fractals. Fortunately, I've kept up with calculating them... I've posted several to my site since September 3rd, 2013 -- and more are coming. Here's the link: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html Please click "September" in the 2013 column (for my counters). Thanks, - Hal Lane ######################## # hallane(a)earthlink.net ########################

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AOTD FryDayThe13th!
by JackOfTradeZ＠comcast.net 14 Sep '13

14 Sep '13

. Yes, it is a Scarlatti piece. I have many and I really like them - they seem to go good with fractals for some reason. Now, the Sept. 13, 2013: The All-Seeing Eye Awesome! I zoomed back to parent - rather not-so-pretty. And zooming in to E+12 shows self-similarity at it's best. Looks like brain matter with triangle virus or prions embedded. Not really impressive enuf to do a full animation, esp since the images take a while to render as you go in. However, I did do an animated GIF file with 67 images and it shows all that needs to be seen. Myriads of triangles - and they seem to be distorted at the beginning but get "cleaner" as you go in. The last one (E+11) seems almost perfect, and begins to resemble a "Koch Fractal", like the snowflake. Mini-triangles protrude from the sides. Maybe at depth this phenomenon will occur, need to check. Also the sides of these triangles seem to be perfect borders - strait with no increased complexity as you zoom in. http://www.fractal-animation.net/trianglez.gif 20MEG download So Muth has found a perfect triangle and square now, how about higher polygons? They must be in there somewhere! I rescued a HP Athlon64 from work, new HD, vid card, inc memory. Formatted the HD to boot DOS-7. Did anyone know it IS possible to access USB memory stick from DOS? Cool! Then I installed WinXP from an old unused disk I paid $200 for way back when. That is tricky when the HD is SATA as XP has no native drivers for SATA, but I got it done. And it kept the DOS! Now I have a dual boot system, and it is FAST with fractint! This confirms what I have observed for years - the Athlon64 chips (at least those from 5-10 years ago) scream with fractint! .

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Fwd: Fractal Music Project
by John Wilson 14 Sep '13

14 Sep '13

I downloaded the.wav files and played them in "Audacity". Closest I've ever encountered to music from a fractal! John W. On 13 September 2013 02:30, Albrecht Niekamp <Niekamp(a)ish.de> wrote: > HI, > : > after a long time of silence I´m back again with a new project. > After my Multifractal Project which has remained unique as it > still is the only software creating fractals using up to five > formulas simultaneously here is my Fractal Music project, possibly > the only one which deserves that name, there are some details > they have in common: > : > It uses a single algorithm to automatically create music of > theoretically indefinite size which never repeats itself. > The rhythm is my own definition of an endless shifting rhythm > originally inspired by Steve Reich ("Drumming") and Terry > Riley ("In C") and on their side by African native music for > instance by the pygmies. > : > The melodies- of course being the other half of the structure > "shifting melodies" - are created using pixels of a Bitmap (BMP) > fractal, which is scanned using the dots and lines of a freely > designed IFS fractal. > : > The basic software - in and out and conversion of a pixel > into musical parameters of a single note - originates in > the nineties, author David Strohbeen and is not > available anymore. > : > In addition to the image the music is influenced to a high > degree by the IFS fractal used, a pyramid for instance creates > a harder rhythmic structure, a spiral a softer melodic > structure. Listening closely and relaxed you may well find > that the general atmosphere of the music is that of the > originating fractal. > : > I converted Jim´s "End of the World" image, FOTD Aug27, > loved it at first glance. Thanks for that, Jim. > Including links of the WAV files - mp3 is not satisfactory - > and the original MID files. Be careful when using Midi: > The sound depends on the fonts used and therefore maybe > disapointing.The soundfont used is WeedsGM3, google for it. > Use only a player that does not change the parameters. > The creative player destroys the music, Winamp is ok. > : > Albrecht Niekamp] > >

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AOTD FryDayThe13th!
by JackOfTradeZ＠comcast.net 14 Sep '13

14 Sep '13

. Zoom in to Sept. 10, 2013: Spiraling Onward is posted: http://www.fractal-animation.net/vid/spiralin.zip 20 MEG download This may be the last animation for a while; 2 of my systems are hosed beyond recovery, and the other one I need to set up with XP as a backup to my current work system as I hunt for employment. Life goes on ...... .

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Fractal Music Project 2
by Albrecht Niekamp 14 Sep '13

14 Sep '13

Hi, : Yesterday I introduced my Fractal Music Project which features an endless shifting rhythm, that never repeatsf. Imagine what the music would sound like after a long time playing, let´s say a week. : It´s possible to find out! As a starting point I can simulate any status of the shifting rhythm as done today. For me it´s clear that the athmosphere of Jim´s fractal is much more obvious and the rhythmic variation - judge yourself -, it´s the "End of the World"! : The settings of yesterday´s music are fully identical today. The IFS File shown can also be found in your Fractint IFS folder. : To make it clear and avoid misunderstanding: This project is about scanning and transforming a complete fractal and not about using fractal structures directly to produce funny noises which possibly can be regarded as nusic. : Albrecht Niekamp : https://www.dropbox.com/s/sp3cp7b9zzk23yw/130913D1.MID https://www.dropbox.com/s/liu4kbptthiwui6/130913D1.wav https://www.dropbox.com/s/ul0r69y1h6ffc9t/13091301.MID https://www.dropbox.com/s/mlguuf91ztorev2/13091301.wav

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Three Details
by Brian Prentice 14 Sep '13

14 Sep '13

Here are three details representing the three critical points discussed recently in Jim Muth's FOTD: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_31.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_32.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_33.png Brian Prentice

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Re: [Fractint] Three Details
by Hal Lane 14 Sep '13

14 Sep '13

Brian, The color map in your: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_33.png makes the palm tree-like shapes almost look like they have a warm sunset glow behind them. - Hal Lane ######################## # hallane(a)earthlink.net ########################

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Re: [Fractint] Fractal Music Project
by Hal Lane 14 Sep '13

14 Sep '13

Albrecht, I really like both the drumming and the melodic pieces a lot. I was especially pleased to find that the melodic piece was not "aimlessly" wandering. This makes your piece much more approachable for me than some other fractal music. My son liked the melodic piece, too. - Hal Lane ######################## # hallane(a)earthlink.net ######################## ================================================== Author: Albrecht Niekamp Date: 2013-09-13 05:30 -400 To: Fractint Subject: [Fractint] Fractal Music Project HI, : after a long time of silence IÂ´m back again with a new project. After my Multifractal Project which has remained unique as it still is the only software creating fractals using up to five formulas simultaneously here is my Fractal Music project, possibly the only one which deserves that name, there are some details they have in common: : It uses a single algorithm to automatically create music of theoretically indefinite size which never repeats itself. The rhythm is my own definition of an endless shifting rhythm originally inspired by Steve Reich ("Drumming") and Terry Riley ("In C") and on their side by African native music for instance by the pygmies. : The melodies- of course being the other half of the structure "shifting melodies" - are created using pixels of a Bitmap (BMP) fractal, which is scanned using the dots and lines of a freely designed IFS fractal. : The basic software - in and out and conversion of a pixel into musical parameters of a single note - originates in the nineties, author David Strohbeen and is not available anymore. : In addition to the image the music is influenced to a high degree by the IFS fractal used, a pyramid for instance creates a harder rhythmic structure, a spiral a softer melodic structure. Listening closely and relaxed you may well find that the general atmosphere of the music is that of the originating fractal. : I converted JimÂ´s "End of the World" image, FOTD Aug27, loved it at first glance. Thanks for that, Jim. Including links of the WAV files - mp3 is not satisfactory - and the original MID files. Be careful when using Midi: The sound depends on the fonts used and therefore maybe disapointing.The soundfont used is WeedsGM3, google for it. Use only a player that does not change the parameters. The creative player destroys the music, Winamp is ok. : Albrecht Niekamp] : SPIRAL1.IFS { 0.788 -0.424 0.242 0.860 1.649 5.431 0.896 -0.121 0.258 0.152 0.053 -6.722 1.377 0.052 0.182 -0.136 0.091 0.182 6.086 1.568 0.052 } : http://www.crosscanpuzzles.com/Aug13/082713.html https://www.dropbox.com/s/1c7bl26vc44lqy6/120913D3.MID https://www.dropbox.com/s/kvastwz6oopb900/120913D3.wav https://www.dropbox.com/s/odhd6582zzu6cy1/11091301.MID https://www.dropbox.com/s/94mlkbmmdwvydlp/11091301.wav =========================================================

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FOTD 13-09-13 (The All-Seeing Eye [A-5,M-9])
by Jim Muth 13 Sep '13

13 Sep '13

FOTD -- September 13, 2013 (Rating A-5,M-9) Fractal visionaries and enthusiasts: Today's image shows what happens in the fractal that results when the whimsical expression (Z^1.5)+(1.5*Z^2)+(2*Z^2.5) +(2.5*Z^3)+C is iterated with Z initialized to the assumed critical value of -0.3968... Zero appears to be a second critical value, but I have not yet checked this fractal. The parent fractal of today's image looks not at all critical. It consists of little more than a roughly circular open bay with an area of sandy debris along its western shore line. So far, so good, but look at today's image, which shows what lies buried not very deep in this debris. About 15 years ago I discovered a near-perfect rectangle. In today's image I have found a near-perfect equilateral triangle. This raises the math value to a superior 9. With little more than sand, not very attractive filaments, hurried coloring and a triangle going for it, the artistic worth remains mired at a humdrum 5. The name "The All-Seeing Eye" came to mind when I happened to notice the back of a one-dollar bill, which has the image of an unfinished pyramid with an eye printed on it. I guess the Masons are in town. The calculation time of 1-3/4 minutes will pass in two flashes, even faster on the FOTD web sites. For peace of mind, check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Much cooler air brought a refreshing relief to Fractal Central today. With a mix of clouds and sun, a temperature of 70F 21C and much drier air, the day could hardly have been improved upon. At least the fractal cat thought so. The humans always find a way the day could have been better however. The next FOTD will be posted, that's a promise, but there is no guarantee of the exact time. Until whenever the time comes, take care, and see you then. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_All-Seeing_Eye { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident float=y center-mag=-0.6614804957/+0.0746736023/5347/1/-119\ /0 params=1/1.5/1.5/2/2/2.5/2.5/3/-0.3968321221967\ /0 maxiter=1000 inside=0 logmap=29 periodicity=6 colors=000DDLCCK9BI6AH39F78EB7BE69H57K45M38O3AR3DV\ 3FY3H`3KZ3MX2PV2RT2TR2WO2YR2`T2bV2dX1gZ1i`1lb1nd1p\ f1sh1uj1wi2vi2vi2vi2vi2vi2vh2vh2vh2vh3vh3vh3vg3vg3\ vg3vg3vg3vg3vi5uj6ul7um8uo9tpAtrBtsCttDtpHllLehPZd\ Tz`XzX`zWZzWYzWWzVVzVUzVSzURzUQzUOzTNzTMzTKzSJzSHz\ SGzRFzRDzRCzQBzQ9zQ8zQ7zOUzQUzSUzTUzVUzWUzYUzZUz`U\ zaUzcUzeRzfPzhMziJzkGzlDznAzo8zbIzRSzFaz3jz5hq6gq8\ fr9erBdsCcsDbtF`tG_uIZuJYvLXvMWwNVwRRuVOsZLqbIofEm\ jBkn8ir5gu2er6ep9enCelFejIehLefOecSeaVe_YeY`eWceUf\ eSieSjcTjaTk`UkZoGLpFKqFJrEIsDHtCGuBFvBErAGnAHk9Ig\ 9Jc8K`8LX7MT7NQ6OM6PI5QF5RB4S74T44U69T8DTAHSCLSEPR\ FURHYQJaQLePNiPOmPMlQKlRJkRHkSGjTEjTDiUBiVAiVBhTCh\ SChRDgPEgOEgNFgLGfKGfJHfHHfGIeFJeDJeCKeBLd9Ld8Md7M\ d6KcEJcMIcTHc`GcgFcoEcvGauH`uI_uJZuKYtLXtMVtNUtOTt\ PSsQRsRQsSOsTNsUMrVLrWKrXJrYIrZJn_KkkQdiQbfRadR_aR\ ZZSXXSWUSUSSTPTRMTQKTOHUN } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 11-09-13 (Island Universe [A-6,M-7])
by Jim Muth 13 Sep '13

13 Sep '13

FOTD -- September 11, 2013 (Rating A-6,M-7) Fractal visionaries and enthusiasts: Today's image takes us to the second critical point of the current parent Julibrot, which is -0.26... The resulting parent Mandeloid again appears much like the non-critical one that results when Z is initialized to zero. Today's scene lies in a bit of debris inside the period 2 bud on the NNW shore line of the main bay of the parent. (The 'bud' on the negative X-axis of the parent Mandeloid is not a true bud.) I named the image "Island Universe". The name refers to the central fractal complex, which because of the coloring, appears to be an island. Today's ratings have dropped from those of the previous FOTD fractal. The reason is partly the growing familiarity of the theme and partly the image itself, which is adequate, but not really good or great. Perhaps the best feature of the image is the calculation time of a fireball 40 seconds. This high-speed calculation will leave no spare time for impatience to raise its ugly head. As is always the case with FOTD images however, satisfaction with the result is not guaranteed. The web sites will make satisfaction more likely however. Those who prefer doing it the easy way may view the finished image at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Exciting weather prevailed here at Fractal Central today. Until 5pm it was partly cloudy, very hot and humid, with a temperature of 95F 35C. But things changed by 6pm when a whopper thunder- storm moved in with high winds, torrential rain, crackling lightning and even a few small hailstones. The fractal cat weathered the storm well enough until lightning struck a transformer a half block away, causing a brief power outage, when he sought a more secure place. After the storm, the temperature was a far more comfortable 72F 22C. As one who enjoys wild weather, I had an enjoyable day. FL endured the action until the storm died down. The next FOTD will be posted in the proper time. Until whenever that might be, take care, and to bomb or not to bomb . . . that is the question. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Island_Universe { ; time=0:00:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident center-mag=-0.0938330879721098/+0.8852092567717744\ /1168124/1/35/0 params=0.1/2/1/3/0.5/6/0.01/-1/\ -0.2602855645470608/0 float=y maxiter=500 inside=0 logmap=13 periodicity=6 colors=000000000000000WzvSpoOhhKc`GWQCNA8E34610000\ 00000zJZzIXzHWzGUzRKzVKzYJzaJzdJzgJzqJzwJzzJzwLzmM\ zeNzaPzYQWURVQTVMUVJVWIUXITYISZIS_HR_HQ`HPaHPbGOcG\ NcGMdGMeFLfFKgFJgFJnEVtDfuFeuGevHevIewJewKelWYbfRT\ qKRpJPpINpHLzGKzFIzEGzEEzDDzCBzB9zA7z96z99zCBzFDzI\ FzLHzOKzRMzUOzXQz_Sza`zgizmNzrPzpQznRzlSzjTzhUzfVz\ dWzcUzaYz_ZzY_zW`zUazSbzRbzLazGZzKWzNTzRQzUNzYKz`H\ zdEzgBzk9znGzdMzVKzRIzOGzLEzHCzEBzBDzCFzCHzDJzDLzE\ NzEPzFQzFRzIRzLRzOSzRSzUSzXTz_TzbUzdVzRWzTXzUYzWZz\ XZzgZzqWzmUziRzfPzbMz_KzWHzTFzPCzMAzI8zFAzzCzHEzIG\ zJHzKJzLLzLNzMPzNQzOSzPUzQWzRXzRZzS`zTazTczUdzUfzV\ gzWizWjzXlzXmzYozZpzZrz_sz_nzZizYezX`zWXzVSzUOrUPp\ SPoQQnPQmNRlLRkKSjISiHTgFTfDUeCUdAVc8Vb7Wa5W`4`b6e\ d7je9ogAtiCyjDuaIqTMmLQlLPkKPiKOhJNgINeIMdHLcHLaGK\ `GJ_FIYEIXEHWDGUDGTCFSCFSCEQBEPADOACM9B00zK8AI89H7\ 9G68E67D57C56A45944834623 } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 12-09-13 (Floating Star [A-7,M-6])
by Jim Muth 13 Sep '13

13 Sep '13

FOTD -- September 12, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's image returns us once again to the Julibrot of the past several days. Today we check the Mandeloid created when Z is initialized to the third critical value, which is -0.975... This Mandeloid shows the greatest degree of difference from the non-critical one that results when initial Z equals zero. Yesterday's image rather resembled a minibrot totally isolated from its 'outside' surroundings. The image was a sham, since the disconnection was achieved by the coloring. Today's image is the real thing however. It was found inside a strange mini Mandeloid just inland of the northwest shore line of the parent fractal. This mini Mandeloid has a bit of disconnected debris in its center, with today's scene lying in this debris. The result is a minibrot totally cut off from the rest of the fractal by a ring of 'inside' stuff. The minibrot is actually doubly disconnected. And yes, the open hole that contains the minibrot and its 'star' is symmetrical, as is true of almost all features surrounding minibrots. Since the minibrot's immediate 'outside' surroundings are shaped like a star, I named the image "Floating Star". The heavily blue cast I gave to the image emphasizes the stellar appearance. The ratings could have been a point higher if the theme were not becoming so shopworn. The calculation time of 7-1/4 minutes might be a bit much to ask to see the image. Visiting the web sites is a better deal. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Today was partly cloudy and very humid until mid-afternoon, with a temperature of 84F 29C. But then a heavy thunder shower suddenly arose and dropped the temperature to 72F 22C. The crackling lightning striking within 100 meters or so sent the fractal cat scurrying for cover again. He came out as soon as the all-clear was sounded. Other than the excitement of watching the big storm, the fractal humans had an uneventful day. The next FOTD will be posted when the same particle entity can be in two different places at the same time. Since this is already the case, the FOTD will be posted in the near future. Until bilocation occurs, take care, and real magic might be irrational, but according to quantum science, it does exist. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Floating_Star { ; time=0:07:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=-0.1354452771282252/+0.7340443868840427\ /414258.8/1/-35/0 params=0.1/2/1/3/0.5/6/0.01/-1/\ -0.9753887460956279/0 float=y maxiter=1500 inside=0 logmap=12 periodicity=6 colors=000FazDOzBbzCPzC0c6lz9EzUUzsszcgzVXzLMzJvzF\ ZzvmzjmzdUzjmzpmzvmzImz9UzEmzJmzOUzSUzVmzYUzVmzoUz\ dmzVmzLmzqmzsmz2mzumzKmzImzGmzEmznmzVmzsmzdmzQmzZm\ zRhzJSzxXzr`zXOzwKzkHz_FzODzmcz9bzBPzdmzcEzQCztMzY\ GzKezD0z4iz6`z8SzAJzkHzbFzUEzLCzvgzjZzZRzNJzQVzJLz\ _DzOCzJWzFLzjizJwzxYzgQzSIzn4zGazEOzUNzPKzLHzGEz1m\ z7UzIfzGWzELz5sz9XzWxzPgzIRzlCzwgz_RzHizESzGxzu2zi\ 5zZ7zN9zQyzjizHYz9VzAOzBHzFjzEZzDNzbpzWezPWzILzBfz\ CRzbVzWQzPLzIGzFTzbEzUDzLCz23z77zFczEWzDPzCIzngzaX\ zPMzT9zNAzHBzhrzSXz52z75z97zB9zN1zK4zH6zE9zBnzCdzC\ VzCLzImzlFzUDziuzYezNQzZFzOlzn2zV7zRZzMRzHJzQFzZxz\ N_zzNzAizB`zBSzCJz78zAAzgZzSNzmDzVCz6lzpjzbZzPNzOe\ zeRzYNzRJzJFzJLzGHzEEzxDz_CzEFzYfzNRz4Lz8GzUvzLZzL\ tz6GzMpzJezHWzELzNKzHFz`nzOVzAzz5pz7ez9WzBLzunzidz\ ZVzNLz3_z8Nz76z98zBAz_FzUEzODzICzBezP7zL8zI9zFAzF6\ zE8zD9zCAztgzhZzYRzNJzHoz } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 10-09-13 (Points Revealed [A-7,M-8])
by Jim Muth 11 Sep '13

11 Sep '13

FOTD -- September 10, 2013 (Rating A-7,M-8) Fractal visionaries and enthusiasts: While yesterday's fractal was a non-critical loser, today's fractal, which is critical, is a notable improvement. It is a scene in the fractal that is generated when yesterday's fractal is re-calculated with Z initialized to the first of the three critical values of the iterated expression. This value appears as the real(p5) parameter of today's image. At first glance, today's parent fractal, which is critical, appears little changed from yesterday's image. In its depths however it is totally different, with intact minibrots lurking where least expected. Today's image, which I named "Spiraling Onward", lies on the west side of the north branch of what could be called a kind of Seahorse Valley. The math value remains a superb 8, while the artistic value has risen from an abysmal 3 to a very respectable 7. The three critical values of initial Z in yesterday's loser image were found by entering the same parameters into the CriticalPoints formula, which appears in today's parameter file. This calculates the Parabolic plane of the iterated expression and creates an image that is a rough graph of the expression. All that is then necessary is to find the 'Y' coordinates of the tips of the three obvious though distorted parabolic curves. I always choose the place where the default red adjoins light blue. The tedious part is continually stretching the curves horizontally to determine the exact 'Y' coordinates. The second image, named "Points Revealed", shows the resulting image-graph that must be analyzed. The method is tricky, especially with negative and fractional exponents, and sometimes does not work, but it is still better than trying to write a formula to do the job or finding the points by hand calculation. The calculation time of 2-2/3 minutes is somewhat slow, and I'm not sure the result is worth the wait. Luckily, the web sites can speed up the viewing. Save time and effort by checking the finished images at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A mix of sun and clouds, and a temperature of 88F 31C made today quite summer-like here at Fractal Central. The fractal cat was undecided whether to stretch out or curl up, and finally settled half stretched in my favorite chair. The fractal people passed the day getting things done. The next FOTD will soon be posted. To see how soon, check back here frequently, and before you know what happened, the next fractal will be here. Until whenever the fates decide, take care, and let's admit it -- according to science, objective reality is probably an illusion, which means that our mighty scientific method is founded on nothing more than an illusion. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Spiraling_Onward { ; time=0:02:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=t center-mag=-0.511568295107038/+0.05469492019194518\ /1.23e+010/1/140/0 params=0.1/2/1/3/0.5/6/0.01/-1/\ 0.2246790860663939/0 float=y maxiter=1750 inside=0 logmap=138 periodicity=6 mathtolerance=0.05/1 colors=000AIA8J68K3CL2JK2QK2WK1bK1iK1oK1VG6XF7ZG7`\ I3aL0eP6eVBcYFdZJeZMfZPgYSgWVhUYiR_jObkLekJhlGkkEn\ iBqe9saAlWBfNB`IBWFAQC8O87K65G44C420228zz4rp5mk4if\ 4ea3dX3cU3cQ2cM2cI1cF1UB1K70c306m55h45c44Z44U34P33\ K33I23G22E22C11A1181160040020ZyFWoEThDRcCPZBNUALR9\ JP8HM7GK7EI6CG5AD48B3793562341120M`zKYmJWcHUUGRKFP\ ADN1CK1BI19G08D06B0590460240120PmVNiTLfRKcPI`NHYLF\ VJESHCPFALD9IB7F96C7495363131SqTQmROjPMfNLcLJ`JHXI\ FUGERECNCAKA8G97D75A5363131pQjjNddK_ZHVTEQNBKH8FB5\ A5256zn5ti4nd4h`3cW3YR2SN2MI1HD1B9054KK0II0HH0FF0E\ E0CC0BB0AA0880770550440220110ltcOSKjceNKLQzbMqXIhR\ E_MBRG7IB395Xw7Mc4BK2oPukNpgLlcJh`UdXU`TUXQUTMUOIU\ KEcGBcC7c83c4xchhmXUmMFmBwmcdmlczhczdcz`czXmzUmzQm\ zMmzImzFmzBmz7mz3mzSmznzzizzdzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } Points_Revealed { ; time=0:00:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=CriticalPoints function=ident passes=1 center-mag=0/0/0.6666667 params=0.1/2/1/3/0.5/6/0.01/-1 float=y maxiter=500 inside=0 periodicity=6 colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzz\ zLzzz000555888BBBEEEHHHKKKOOOSSSWWW___ccchhhmmmsss\ zzz00zG0zV0zj0zz0zz0jz0Vz0Gz00zG0zV0zj0zz0jz0Vz0Gz\ 00z00zG0zV0zj0zz0jz0Vz0GzVVzbVzjVzrVzzVzzVrzVjzVbz\ VVzbVzjVzrVzzVrzVjzVbzVVzVVzbVzjVzrVzzVrzVjzVbzhhz\ lhzqhzuhzzhzzhuzhqzhlzhhzlhzqhzuhzzhuzhqzhlzhhzhhz\ lhzqhzuhzzhuzhqzhlz00S70SE0SL0SS0SS0LS0ES07S00S70S\ E0SL0SS0LS0ES07S00S00S70SE0SL0SS0LS0ES07SEESHESLES\ OESSESSEOSELSEHSEESHESLESOESSEOSELSEHSEESEESHESLES\ OESSEOSELSEHSKKSMKSOKSQKSSKSSKQSKOSKMSKKSMKSOKSQKS\ SKQSKOSKMSKKSKKSMKSOKSQKSSKQSKOSKMS00G40G80GC0GG0G\ G0CG08G04G00G40G80GC0GG0CG08G04G00G00G40G80GC0GG0C\ G08G04G88GA8GC8GE8GG8GG8EG8CG8AG88GA8GC8GE8GG8EG8C\ G8AG88G88GA8GC8GE8GG8EG8CG8AGBBGCBGDBGFBGGBGGBFGBD\ GBCGBBGCBGDBGFBGGBFGBDGBCGBBGBBGCBGDBGFBGGBFGBDGBC\ G000000000000000000000000 } frm:CriticalPoints {; Jim Muth z=imag(pixel), c=fn1(real(pixel)) a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4): z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| < 10000 } END PARAMETER FILE=========================================

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FOTD 09-09-13 (Not Critical [A-3,M-8])
by Jim Muth 09 Sep '13

09 Sep '13

FOTD -- September 09, 2013 (Rating A-3,M-8) Fractal visionaries and enthusiasts: I have received a couple inquiries over the past few days about critical points and their relation to fractals, and also how I use Fractint to graphically find critical points. This will be the topic for the next several FOTD discussions. Hopefully, my limited math knowledge will be equal to the task. To begin, a critical point is a point on the graph of a function where the rate of change is zero and the tangent is therefore parallel to the X-axis. This point can appear as the tip of a parabola or a point of inflection, where the direction of curvature changes. In fractals, when Z is initialized to a critical value, the fractal will consist of undistorted Mandelbrot stuff, such as appears all around the edges of the classic Mandelbrot set, and the fractal's depths will be filled with intact minibrots. In the classic M-set, the critical value is zero, but in today's fractal, in which Z is initialized to zero, the result is distinctly non-critical. No perfect minibrots lie in its depths, and no undistorted buds lie along the edges of the large bays. For those who cannot wait, if any, today's fractal has three actual critical points. These are: +0.2246790860663939 -0.2602855645470608 -0.9753887460956279 If one of these values is entered as the value of real(p5), the resulting fractal will closely resemble today's non-critical version, but it will have many critical areas, especially along the negative X-axis, with intact buds, and minibrots in their depths. The name "Not Critical" is a simple truism. Since the math, which rates a lofty 8, is the chief topic of today's image, I put little effort into the coloring, which rates a lowly 3. The fractal is a parent fractal, this is true by definition, but it holds little of interest. The thin vertical column in the center of the main bay is created by the 0.01 part of (1/Z) in the iterated expression. I will resume this topic tomorrow, when I will describe my rather convoluted technique of finding critical points graphically with the Fractint program. The calculation time of a fireball 20 seconds will cause no grief. The web sites can bring extra assurance of satisfaction. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> An un-notable day passed with little fanfare here at Fractal Central today. The sky was mostly cloudy, but the clouds were thin enough to give the impression of a mostly sunny day. The morning temperature of 45F +7C made sweaters comfortable, but the afternoon high of 73F 23C was near perfect. The fractal cat slept through most of the afternoon, while the fractal humans accomplished what needed to be done. The next FOTD will be posted in the appropriate time. Until we see what is appropriate, take care, and, "I think that crocodile is still alive!" Tom said off-handedly. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Not_Critical { ; time=0:00:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=-0.12/0/0.8 symmetry=xaxis params=0.1/2/1/3/0.5/6/0.01/-1/0/0 float=y logmap=1 maxiter=500 inside=0 periodicity=6 colors=000D1iD1lD1nH3oK4pN5pR6qU7qX8r_9rcAsfBtiCtm\ DupEusFvvGvsJrpLomNlkPihSeeUbcW_`YXY`TWbQTdNQfKOiG\ LkDImAGo7Fn8Fn8Fn8Fn9Fn9Fn9Fn9EnAEnAEnAEnBEnBEnBEn\ BbqXXp`SpdMphHplKmiNjgPgeSdcVaaX___XYbUWdRUgOSiMQY\ jPXfQXcRX_SXXTWUUWQVWNWWKWXMVXNUXOTYPTYQSYSRZTQZUQ\ ZVP_WO_YN_ZN`_M``L`aK`bKZ`JX_JVYITXIRWIPUHNTHzRGzQ\ GzPGzNFzMFzKEzJEzIEzLJzONzQRzTWzW_zYczeVzlNmsFmz7m\ sAmlCzeEzZGzSIzVKzXLzZNz`OzcQzeRzgTziUzh_ozSnzSmzS\ lzSOzJQzLRzNTzOUzQWzSXzUZzW_zXazZbz`dzbezcbzd_zeXz\ fUzgSzgPzhMziJzjGzkEzkBzl8zm5zn2zo0zo4zn7znAzmDzmG\ zlJzlMzkQzkTzjWzjZziazidzhgzhjzhhzffzddzcbza`z_ZzY\ YzWWzUUzTSzRQzPOzNMzLKzKIzIHzGFzEDzCBzA9z97z75z53z\ 31z10zo0zg0z`0zT0zM0zE0z7wzXrzUmzRizPdzM_zKWzHRzFN\ zCIzADz79z54z2IzBHzAGzAFz9Fz9Ez8Dz8Dz8Cz7Bz7Bz6Az6\ 9z59z58z57z46z46z35z34z24z23z22z12z11z00z0JzlHzgFz\ bDzYBzT9zOJzLKzJKzHLzFLzD } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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Re: [Fractint] AOTD 9_7_2013
by Hal Lane 09 Sep '13

09 Sep '13

> Animation of FOTD August 26, 2013: Undersea Scene is posted: > http://www.fractal-animation.net/vid/xenomorphs.zip > It is 2 min 21 sec runtime, 40Meg download. That's a great video! I especially like the yellow sparkles on the dark purple background at about a minute in. There was a lot of suspense the first time I watched it as to whether it could possibly keep zooming in and finally arrive at an M-set or not! I didn't see the "pumping" up and down of the color map in this video: Did you have another value in Logmap other than 2? <---<< - Hal Lane ######################## # hallane(a)earthlink.net ######################## Author: JackOfTradeZ Date: To: fractint Subject: [Fractint] AOTD 9_7_2013 . Animation of FOTD August 26, 2013: Undersea Scene is posted: http://www.fractal-animation.net/vid/xenomorphs.zip It is 2 min 21 sec runtime, 40Meg download. -----

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AOTD 9_7_2013
by JackOfTradeZ＠comcast.net 08 Sep '13

08 Sep '13

. Animation of FOTD August 26, 2013: Undersea Scene is posted: http://www.fractal-animation.net/vid/xenomorphs.zip It is 2 min 21 sec runtime, 40Meg download. .

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FOTD 06-09-13 (The Other Half [A-6,M-7])
by Jim Muth 06 Sep '13

06 Sep '13

FOTD -- September 06, 2013 (Rating A-6,M-7) Fractal visionaries and enthusiasts: Today's fractal was created with the same iterated expression as yesterday's, but it is found in an entirely different parent fractal. This is because today's parent fractal was initialized to a different critical point, which appears as the value of the real(p5) parameter. I used the Fractint program to plot a second critical point graphically. (Fractint can draw basic graphs in which critical points can be tracked down and measured.) I do not do this very often because the process is tedious, but in today's case the result was satisfying. I found a new fractal, resembling yesterday's parent in some aspects but differing in other ways. I named today's image "The Other Half" because it is a scene in a parent fractal that is the second critical slice of yesterday's Julibrot. Once again, the artistic value of 6 lags behind the math value of 7, which makes the 13-minute calculation time not much of a bargain. But the web sites are always there to save time and frustration. Be rational and unfrustrated. Check the finished images at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> With its totally cloudless skies, today would have been absolutely perfect if it had been just a few degrees warmer here at Fractal Central. As it was, the morning low of 43F +6C and afternoon high of 70F 21C were a little too chilly for relaxing in the outdoor shade. The fractal cat relaxed under a chair cover, where he spent the afternoon as little more than a lump. The fractal humans, who are anything but normal, had a normal day. The next FOTD will be posted when I get in the mood to do it. Long experience says that the time will be either 24 or 48 hours. To be sure when, check back at these times. Until whenever, take care, and when bad guys use guns to kill innocent people, the liberals say we should solve the problem by passing laws that will affect only the good guys who have guns. (Criminals don't obey laws.) This is crazy enough, but then the conservatives say we should solve the problem by increasing the number of guns in circulation, so we will be ready to protect ourselves from the bad guys. Would the rational side please stand up. Jim (reason prevails but no one wants to hear it) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Other_Half { ; time=0:13:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=ident passes=t center-mag=+0.04948459960925363/+0.000012428074251\ 36/2.714126e+010/1/-50/0 params=4/2/3/4/2/3/-100/5\ /0.2765676348110211/0 float=y maxiter=4250 inside=0 periodicity=6 colors=000ZGGYDHYAJX7KX4L_EHaODgOFmJKlMIlOGlQElSCl\ UAlW8nMAlY6jh3il4hn0coKZoRVoQPoDKlCFgCAcCAZC9UC9QC\ 9TC9YF5gJ2sPBrSJkUSdW_ZZhS`pLbxFdjIPXK9WK8VJ8TI8SH\ 7QG7PF6NE6MD6LD5JC5IB5GA4F94E83C73B639628527415311\ 00421210100xjRviQuhPtgPrfOqeOpdNncMmbMlaLk`Li_KhZK\ gYJeXIdWIcVHaUH`TG_SGZRFXQEWPEVODTNDSMCRLCPKBOJANI\ AMH9KG9YWhTZsQWkOTdMRXKOQILIGJBQRAZZAgfApnAcdMSWYD\ UoFQlGNiHJfJGcKC`L7XN2TL9YKGbJMgITlMZvJZsHZpFZnDZk\ BZh9Zf7Zc5Za6Wd6UgbUEWaEPhFLpDIoFGnGEnIBmJ9lL8lL7l\ MDjPIiROhUTfW_dYcb`daac`Za_RW`LMdPUhS`mVhqYop`vobh\ nVfWIlA7eE6_I5TM5NQ4HU4JPELKNNGWPBdR6mT2vTPgTkUXcZ\ `WcdOhhGml8rp1vi5tc8rYCpSFnMJlGMjAQh4Tg7Xf9`fBdeDh\ e2zmFleRZZbLS_MOYMLVMITMFQIBRMCSPDTTEUWFVZGWbHXeIq\ f_YhIWgJVfKTeLSdMQcNPbOHRVOaOPtCVkI`cNfWSlOYrGbz3h\ w8gtCfrHeoLdlQcjUbgZagZbebaceaaia_laYpaWsaUvaF5_J9\ WMCSQFOTJKXMG`TA_PC_MDZJF } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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Re: [Fractint] FOTD 04-09-13
by Brian Prentice 06 Sep '13

06 Sep '13

There are some beautiful details in this fractal. Here are two examples: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_30a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_30b.png Brian Prentice

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FOTD 05-09-13 (Proximity 0.01 [A-7.5,M-7])
by Jim Muth 05 Sep '13

05 Sep '13

FOTD -- September 05, 2013 (Rating A-7.5,M-7) Fractal visionaries and enthusiasts: The math behind today's image combines 4 parts of Z^2 with 3 parts of Z^4 and 2 parts of Z^3, then subtracts a whopping 100 parts of Z^5 before adding C on each iteration. This crazy mixture creates a parent fractal shaped somewhat like a sickle cell, with X-axis symmetry and a large main spike pointing west. This large period-2 bud on the negative X-axis appears quite normal, but the shapes of the other buds around the main bay are wildly varied. Today's scene is located in a bud on the northeast shore of the large sickle-shaped main bay of the parent. I did not try to find an additional critical point of the generating expression. The value of zero so frequently works as a critical point with this formula that I generally try it first. In today's case, zero works quite well, though I might check for other critical points and see what kind of parent fractal results. The unusual coloring effect in today's image was achieved by rendering the scene with the outside set to 'fmod' with the proximity unchanged from the default 0.01. This is what inspired the name "Proximity 0.01". With a rating of 7-1/2, the artistic value, at least in my opinion, is worth a little more than the math value, which rates a whole-number 7. The MandelbrotMix3a formula is a slow one, which slows the calculation to a turtle-like 3 minutes. So don't let the turtle win the race. Check the finished image at one of the web sites. Enjoy freedom from turtles by viewing the finished images at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Today here at Fractal Central began with cloudy skies, but the clouds cleared off by noon, leading to a pleasant, mostly sunny afternoon with a temperature of 75F 24C, low humidity and a refreshing north wind. The fractal cat, fully refreshed, spent the afternoon watching the local pigeons, which are starting to get out of control and might eventually have to be cleared from the surrounding eaves. The fractal humans had a routine day, as most days are here at FC. The next FOTD will be posted in the right time. Until that time arrives, take care, and check the first FOTD web site for the politically charged comments of the day. Jim (neither right nor left) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Proximity_0.01 { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=+0.05921017762628365/+0.181266449610439\ /4.5583e+008/1/82.5/0 params=4/2/3/4/2/3/-100/5/0/0 float=y maxiter=600 inside=0 outside=fmod periodicity=6 colors=000UU5UV4UU4UT4UQ5UN6UK6UH7UF7UC8U99U69U3AU\ 1AUeoVZgVS`WLTWEMX7EX07Z3C`5Hb7Md9RfBWhE`jGelIjnKo\ pMsnLqlKpjJohJnfImdHlbGk`Gj_FiYEhWEgUDfSCdQBcOBbMA\ aL9`J9_H8ZF7YD6XB6W95V74U64T74S84R84R94Q94PA4PA4OB\ 4OB4NC4MC4MD4LD4LE4KE4JF4JF4IG4IH4HH4GI4GI4FJ4EJ4E\ K4DK4DL4CL4BM4BM4AN4AN49O48O48P47P47O59O6AN7BN8CM9\ DMAFLBGLCHKDIKEJJFKJGMIHNIIOHJPHJQGKRGLTFMUFNVEOWE\ PXDQYDR_CS`CTaBUbBVcAWdAXf9Yg9Yh8Zi8_j7`k7am6bn6co\ 5dp5eq4fr4gt3hu3iv2jw2kx2ky4jv5jt6jq8jo9ilAijCigDi\ eEibGh`HhYIhWJhTLgRMgONgMPgJQgHRfETfCUf9Vf7Wf5Vh9U\ jCUkGTmJSnNSpQRqURsXQt`PvcPwgOyjOzmPvjQshRpeRmcSj`\ TgZTdWUaUVZRVWPWVMcNKcIHcFFcGCcDAcA7d75e42f10e22a3\ 3Z34V46S57O58L6AH7BF7CC6EA6F76G56I27J08K18M28O39P4\ AR5BS6CU7DV8EX9FZAG_BHaCIbDJdEKeFLgGMiHNjIOkJPlKQm\ LQnMRoMRoMSoNSoNSoNTnOToOTnOUnPUnPUnPUnQUnQUnQUnRU\ nRUnRUnSVnSWnSWmSWmSWm6CU } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 04-09-13 (Trouble in Sight [A-7,M-8])
by Jim Muth 04 Sep '13

04 Sep '13

FOTD -- September 04, 2013 (Rating A-7,M-8) Fractal visionaries and enthusiasts: Today's image was created with the MandelbrotMix3a formula, which mixes together various portions of four different powers of Z. In today's image, one negative part of (1/Z) is combined with straight (Z), then mixed with one part of Z^(-1.6) and one negative part of Z^(-1.4) before (1/C) is added on each iteration. The 0.2858095886402 value of the real(p5) parameter is the critical point of the iterated expression, which I determined using the tedious graphic method. The parent fractal is little more than a nest of zigzagging filaments with small Mandelbrot sets scattered about. Today's scene is located in a knot of filamentary debris near one of the small M-sets. In today's image the math value of 8 exceeds the artistic worth of 7. This unusual situation is due mostly to the unusually large number of different exponents of Z involved in the calculation. I use today's formula so rarely for two reasons. First, the images tend to become boringly similar as the number of exponents of Z grows. Second, it is too tiresome to work out a critical point by calculation or graphically. The name "Trouble in Sight" refers to the effort of finding a critical point and the marginally satisfactory result when I did. The calculation time of 2-1/4 minutes borders on slowness. The slowness may be eliminated however by checking the web sites. Finished images may be viewed at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A perfect day passed uneventfully here at Fractal Central. The fractal cat said the temperature of 79F 26C was perfect. The fractal humans said the low humidity was perfect, while the photoshop blue skies and cottonball clouds kept everyone else and every other animal in town happy. The next FOTD will be posted right here when I work up the energy to do it. Until the energy strikes, take care, and no one can be a true liberal unless they hate guns and are worried about climate change and equality. Too bad! Since guns are here to stay and the climate will continue changing and all people will never be equal, I guess liberals are doomed to a life of endless frustration. Jim (am I left or right) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Trouble_in_Sight { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotMix3a function=recip passes=1 center-mag=+3.26650108165485/-0.05084635835292/\ 1.326488e+008/1/-112.5/0 params=-1/-1/1/1/1/-1.6/\ -1/-1.4/0.2858095886402/0 float=y maxiter=800 inside=0 logmap=103 periodicity=6 colors=000zzzzyzyxzxwzwvzvuzutztszsqzrozpmznkzlizj\ hzhgz`fuTfoMfkEee7d`0cV0aP0_J0ZG0YC0UA0P80K60E4072\ 250750C00H50K80N50P20R00T00V00X00Z00_00Z00X00V00T0\ 0R00P00P00O00N20M80LE0KJ0KP0KV0K`0Pe0Uk0Zq0cu0hz0m\ z0rz0wz0zz0xz0uz0qz0my2ix4ew4av6Yu8Tu8NuAJuCGuCCuE\ 8uG4uG0uH0uJ0uJ0uL0uL0uN6uNGsPPqPZmRggRqbTzXTzRVzN\ VzRXzVXzXXz`XzbXzeXxgXukXsmXoqXmsXivXgxXdzXbzXZzXX\ zXTzXRzXTzZTz`VzbVzdXzeXzgZziZxk`vm`uobsqbqsdoudmv\ ekxeizegzgdugboiZkiXekT`kRXmNRmLNoHHoGCqC8qA2s60s4\ 0u00u00vE0vREvdRvqevzuvzzqzzmzvizqezkbzeZz`VzVRzPN\ zJJzEGz8Cz28z04z00z00z06z0EzHLz`TzqVxoVxoXxmXxmZxm\ Zxk`xk`xk`xibxibxgdxgdxgexeexeexegudgqdgobikbig`ie\ `ib`kZZkXZkTXkRXmNVmJVmHVmEToATozRozRozRmzVkzXkzZi\ z`gzdgzeezgezidzmbzobzqdzsgzvkzxozzszzvzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END PARAMETER FILE=========================================

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FOTD 03-09-13 (Chaplet of Flowers [A-9,M-6])
by Jim Muth 03 Sep '13

03 Sep '13

FOTD -- September 03, 2013 (Rating A-9,M-6) Fractal visionaries and enthusiasts: The main feature of today's image is its ultra-brilliant colors, which earned a rating of a superior 9. The math comes in at a 6, good enough, but nothing to write home about. The flower-like shapes were a result of applying the 'biomorph' option to the humdrum image that resulted when the image was generated with the outside set to the usual 'iter'. I have rarely used this option, since at least in my opinon, it is mere decoration that hides the actual fractal. The name "Chaplet of Flowers" seemed so natural that I could hardly resist giving it to the image. The parent fractal came about when I subtracted Z^(-2.8) from Z^(-1.1) before adding (1/C) on each iteration. This parent consists of little more than two oversized Mandelbrot buds without a main bay, with lots of debris strings scattered about the entire fractal. Today's image lies in one of these debris strings on the northeast outskirts of the fractal. The calculation time of 1-1/3 minutes will pass fast. It will pass even faster on the web sites. Ease all calculation worries by checking the finished image at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Perfect weather prevailed here at Fractal Central today, with a temperature of 77F 25C, low humidity and a delightful mix of photoshop blue skies and puffy white cottonball clouds. This was just what the fractal cat ordered. At lunch time, the fractal humans had a lively debate about weather, fate and the paradigm of our western culture. I yielded when FL turned cranky. The next FOTD will be posted within a reasonable time. Until reason prevails, take care, and science uses the scientific method to demonstrate that reason and common sense sometime lead to wrong conclusions. As for myself, I am still trying to determine if the world I think I see around me is really out there, or just a series of consistent images in my mind, (whatever my mind is). Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Chaplet_of_Flowers { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+2.795092906612666/+0.6474369169982751/\ 1.385e+011/1/50/0 params=1/-1.1/-1/-2.8/0/0/0/0 float=y maxiter=800 inside=0 biomorph=120 periodicity=6 mathtolerance=0.05/1 colors=000C0dA2`dv2PzgAzzb0AJCZ2Vv0mz0`z0Ns0Ae40T8\ 0GbNHzzHzz4zz0zmHzTgvPZkLP`HGPG6EC02800600G00N00V4\ 0bC2kJ4sR6zZ8ze0uJ0i00Z0Cv0Zz0sv2zb4qT8VJA8AE00G22\ HH4HX6Hk6Hb4ET2AJ08A040020000000606E2HL4TT8d`AogCd\ kHTmNHoT6qZ0sd0ui0vm0ou0gz0`z6TzENzGbuGoTGz0Gz08s0\ 2VT06u00z02z0Jz0`q0sg0zZ0zP0zZ0ze0zm0zu0zzGigbTNxC\ 2d00ddZ0UUJVzb0oi0Gl00V02O0U08i0GzUUUzhEzz0zs`zzzz\ vvZzzzzzzmzzszziz000l00z00T00X60bE0ez0iP0mVfkZ0gb0\ ed0kXXoP0sJ0vC8z6Hz0Pz0zz0zz0mz0gz0dsC`kLXeXTZePRq\ LJzHCzE6zA2zG0zL0zR0zX0zb0xg0uk0qq0mv0iz0ez0bz0Zz0\ Xz0Zz0`z0bz4dzAezGgzLizTkzZmxdoviqudek`XbVNVRCLL2E\ H04E00z4zz0zz0zs0zm0ze0zZ0zR0zL0zE0z60z00z00z00z00\ u20o60g80`C0VE0NH0GJ0AL0GN2JPANRHRTPVVZ`XedZmg`ukb\ zoXzmTzkPziLzgHzeEzdAzb6z`2zZ0zX0zV0ze0zo0zq2zq6zq\ AzqEzqHzqLzqPzsTzsXzs`zsdzsgzskzsmzsvsizebzTTzGLzC\ Pz8Tu4Xm2`d0dX0gN0kG0oE0i } 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 02-09-13 (Purple Pancakes [A-7,M-6])
by Jim Muth 02 Sep '13

02 Sep '13

FOTD -- September 02, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's deep toned and rather depressing fractal is a venture into one of the rogue zexpe fractals -- the one that appears when the expression Z^(epsilon)+C is iterated 9999 levels up the complex hyperladder with no function applied. The parent fractal appears as a fairly conventional zexpe fractal, with the expected two large period-2 buds. But it is rotated a bit clockwise and surrounded by much smaller minizexpe fractals disconnected from the main body. Today's scene is located in what appears to be an East Valley of the largest satellite minizexpe, which lies just south of the southwest period-2 bud of the main zexpe. I named the image "Purple Pancakes", not a very appetizing name but fully appropriate when one attempts to count all the purple blotches scattered about the scene. The art and math ratings are unexceptional, since the image's tricks have already been done many times in the past. The image is still totally new however, and well worth the 1-1/2 minutes required to rename and run this letter as a parameter file. Of course, the nuisance of running the parameter file may be avoided by checking the finished image on one of the web sites. The web sites may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Typical summer weather prevailed here at Fractal Central today, with a mix of sun and clouds, a temperature of 90F 32C, high humidity and the expected thunder clouds in sight, though not at FC. The fractal cat made the most of things by sleeping and eating. The humans, who had their holiday on Friday, kept watch on things. The next FOTD will be posted in the foreseeable future. Check at regular intervals, because who knows? the future might be tomorrow. Until whenever, take care, and when things are going wrong, forget the bright side of things with the associated positive attitude. It's a lot of unfounded wishful thinking. Get with reality, forget the feel-good dreams, develop an honest negative attitude, and look for the dark side. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Purple_Pancakes { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident float=y center-mag=-0.5450986126031908/-0.9537212212288588\ /2.034e+008/1/55/0 params=2.71828182845905/0/9999/0 maxiter=2200 inside=0 logmap=166 periodicity=6 colors=00045A66E89GACKCFOEISGLWIO_MScOWZRZTUeNWjHZ\ oBat5hw0mx0ty0zz0wy0uu0tr0rp0mo0mn0mm0ml0mk0hj0ci0\ Zh0Tg0Sf0Se0Rd0Qc0Qb0Pa0O`0O_0NZ0MY0MX0LW0KV0KU0JT\ 0JS0IR1IR0HQ0HP0GO0FN0FM0EL0DK0DJ0CI0BH0BG0AF09E09\ D08C07B07A0690580mVzlUzkTzjSziQzhOzgMzfKzeIydHvbGt\ `Fq_FoYElWDjUCgTCeRBbPA`OAYM9WK8TI7RH7OF6MD5JC5HA4\ E83C62952731410200K00K00K00M60B00KA0T00K00ISFGPDEM\ CCJAAF89C679556333117KU6KU6KU5KU5KU4KU4KU4KU3KR3KO\ 2IL2FI2DF1AC179056023JGcIFbIFaHF`HE_HE_GEZGDYGDXFD\ WFCWECVECUEBTDBTDBSDARCAQCAPBAPB9OB9NA9cA8cA8c98`9\ 7Z87X87W86V76U76S75Q65O65M55K54I54G44A439438337327\ 2262252141131131020010000FT0AJ059FBRECQEEQEEPDEPDK\ UDKUDKUCKUCKUCKZCKZBKZBKZBKZAKZAKcAKcAKc9Kc9Kc9Kc9\ Kc8Kc8Kc8Pm7Pm7Pm7Pm7Pm6Pz6Pz6Uz6Uz5Uz5Uz5Uz4Uz4Uz\ 4Uz4Uz3Uz3Uz3Uz3Uz2Uz2Uz2Uz1Uz1Uz1Uz1Uz0Uz0Uz0UzCU\ zAUz9UzAUzAUzAUzAUzAUzAUz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 01-09-13 (FOTD with FMOD [A-8,M-7])
by Jim Muth 02 Sep '13

02 Sep '13

FOTD -- September 01, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image is a non-existent one. The expression behind today's image, Z^(0.09)+Z^(-0.09)+C, does not make a fractal. Try it and see. It merely draws a blank screen of dead inside stuff. But the Fractint program has inside fills that can make something dead come alive, and in today's image, the 'FMOD' inside fill with a proximity of 0.65 has brought a basically dead screen to a zombie like life. I have given the art aspect of the image a rating of a very honorable 8, while the math aspect comes in at a 7. I spent quite a bit of time on the impossible task of smoothing out a 256-color GIF palette. The result is moderately successful. The name "FOTD with FMOD" simply states the situation as it is. The calculation time of 6 minutes is slow however. So don't forget the web sites. Find the freedom you deserve! Check the finished images at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A mix of sun and clouds with a temperature of 88F 31C made today ideal for most any outdoor activities here at Fractal Central, including water things. The humidity was a bit on the high side, but simply added to the summer atmosphere. The fractal cat spent most of the day asleep on the entertainment center, the rest of the day watching the local pigeons. The humans survived the day without mishap. The next FOTD will soon be posted. To see how soon, check back frequently. Until soon arrives, take care, and why did God set standards of behavior that, because of the weaknesses He Himself built into us, are impossible for any human being to achieve? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= FOTD_with_FMOD { ; time=0:06:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-421.878100629715/+0.1550629443494898/\ 12782.1/1/-45/0 params=1/0.09/1/-0.09/210/5000/0/0 float=y maxiter=1200 inside=fmod proximity=0.65 logmap=yes periodicity=6 colors=0000lp0lq0lo0kq0kq0kq0jp0ip0hp0gn0gn0fn0fl0\ el0el0dk0ck0bk0bi0ai0ai0ag0`g0_g0Zf0Yf0Xf0Xd0Wd0Vd\ 0Vb0Ub0Ub0Ta0Sa0Ra0Q_0Q_0P_0OY0OY0NY0NX0MX0LX0LV0K\ V0JV0IU0IT0HT0HR0GR0FR0ER0ER0DR0DO0CO0BO0BN0AN09N0\ 8L08L08L07J06J05J04I04I02I02G01G01G01E00E00E00D10E\ 31G51I62J82L92NB4ND4OE6QG6RI6TJ8VL8XN9XO9YQB_RBaTD\ bVDdXDfYEf_EgaGibIkdKlfMngOniQpkSqlUsnWtpYwqZxs_xt\ `zwazxbzzczzdzzezzfzzgzzhzzizzjzzkzzlzzmzzlzzkzzjz\ zizzhzzgzzfzzezzdzzczzbzxazw`zt_zrZzqYzoWznUzlSzkR\ ziQzhQzfQzdQzbQzaQz_OzYOzXOzVOzTOzROzQKzQKzOKzOKzN\ KzNKzNKzLJzLIzLHzJGzJFzIFzIFzIFzGFzGFzGFzEFzEFzDFz\ DEzDEzBEyBExBEw9Eu9Es9Eq8Eo8Em6Ek6Ei6Cg4Ae49c48a26\ _24T24M13K1Dt0Ds0Ds0Ds0Ds0Ds0Et0Ds0Ds0Ds0Ds0Ds0Ds0\ Ds0Ds0Ds0Ds0Ds0Ds0Ds0Bs0Bs0Bs0Bs0Bs0Bs0Bs0Bs0Bs0Bs\ 0Bs0Bs0Bs09s0Dt0Dt0Dt0Dw0Dw0Dx0Dx0Dx0Dz0Dz0Dz0Dz0D\ z0Dz0Dz0Dz0Dz0Dz0Dz0Dz0Dz } 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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AOTD 9_1_13
by JackOfTradeZ＠comcast.net 01 Sep '13

01 Sep '13

. The FOTD 8/28/13 "creature of the abyss" is actually a zoom in along the upper ridge of a rather unimpressive parent fractal, consisting mostly of concentric colored rings. And Muth is right - with the "numb" setting normal, only a black screen results. Other settings give some stuff, particularly the "atan", which is quite colorful and interesting - may investigate further. After backing out a bit and centering it, varying the REAL p1 from -3 to +3 in stages yields an interesting morph, ultimately resulting in a smiling Mandelbrot dufus clown - a genuine "creature", although I do not see anything "aquatic" or "abyss" related. 16MEG download, 53 sec runtime, 640x480WMV, with fractal soundtrak. http://www.fractal-animation.net/vid/creature.zip . Enjoy! Comments welcome (even bad ones) JoTz .

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FOTD 31-08-13 (Zexpe of the North [A-6,M-6])
by Jim Muth 31 Aug '13

31 Aug '13

FOTD -- August 31, 2013 (Rating A-6,M-6) Fractal visionaries and enthusiasts: Today's image has a curious appearance, which is actually the beginning of definition breakdown. In today's case however, the breakdown produces a soft, rather pleasant fuzzy effect that raises the image's artistic worth to a 6, making it worthy of being declared FOTD for today. The name "Zexpe of the North" points out that the exponent of Z is the number epsilon, and that the scene lies at the northern extremity of the parent fractal. The parent fractal is actually the 'zexpe' fractal, or more accurately, one of the 'zexpe' fractals. Due to the multi- valued nature of the complex logarithmic function, there are an infinity of 'zexpe' fractals. Today's 'zexpe' fractal resulted when I iterated Z^(epsilon) nine levels up the complex hyperladder with no function applied. It is shaped much like the classic 'zexpe' fractal, with two large period-2 buds. There is no X-axis symmetry however, and the northern bud more closely resembles a quadratic bud, with a single nearly straight main spike pointing northwest. Today's scene lies near the tip of this spike. Since there is nothing really outstanding about the image and the breakdown of definition could be considered detrimental as easily as beneficial, I could rate the artistic worth no higher than a 6. The complex-log math trick is so shopworn that I could rate the math value also no higher than a 6. The calculation time of 1-1/2 minutes is fast enough to keep boredom and ultimate disappointment at bay. And the web sites can always remove the wait entirely. Save some time by checking the web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> More clouds than sun marked the first day of the three-day Labor Day holiday weekend here at Fractal Central today. As of post time, the threat of rain never materialized, but there is still no guarantee the rest of the day will be dry. The fractal cat was a bit cranky, probably due to the humidity, but the fractal humans simply took things in stride. The next FOTD, a FMOD specialty, will not be posted until next month, which luckily is only one day away. Until it actually appears, take care, and when we elected our president, we were so enthusiastic about how he would "save the nation". It now looks like we made a big (but predictable) mistake. Jim (I never make mistakes.) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Zexpe_of_the_North { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-0.6026507393347338/+1.366413693704379/\ 3.395445e+012/1/-25.5/0 params=2.71828182845905/0/\ 9/0 float=y maxiter=5500 inside=0 logmap=97 periodicity=6 colors=00000K00K00K00K00K00K00K00K00K00K00K00K00K0\ 0K00K00K00K11K22K33K44K55K66K77K88K99KAAKBBLCCMDDN\ EEOFFOGGOHHNIINJJNKJMIKMHKMFKLEKLCKLAKIBKKBKLCKMCL\ NCMODOPDQQDSREUTEXUE_VFbWFeXFhYGkZGn_Gq`HtaIraIpaJ\ nbJlbKjbKhcLfcLdcMbdM`dNZdOWeOUePSePQfQOfQMfRKgRIg\ SGgSEhTChTAhWHbZNXaTRdZLgdFjj9km4lp3lp3lp3mp3mpAmo\ AnoAnoAnoKnoKooKonKonUpnUpnUpnUpncqocqocqocqomrpmr\ pmrpmsqzrpzqnzpkzoivofrndmmahl_ckXZkVUjSPiQMhNJgLJ\ gIKfGKeDKdBLc8Lf91d7Bc6La5V`4d_3n`6l`8k`Aj`Ch`Eg`G\ f`Id`Kc`Nb`Pa`R_`TZ`VY`XW`ZV``UbcS`bT_aTZ`TY_TX_TW\ ZUVYUcXUcWUcWUcVUcUVcTVcTVcSVcRVcQVhPWhPWhOWhNWhMW\ mLZmKamIWmGQmDNmBKmCLmDMmEOmFPmFQzGSzHUzIWzJYzJ_zK\ azLczMezNgzOizOkzPmzQozRqzSszSvzTzzTzzUzzUzzUzzVzz\ VzzVzzWzzWzzWzzXzzXzzYzzYzzYzzZzzZzzZzz_zz_zzdzzaz\ z_zzYzzVzzTzzRzzOzzMzzKzzIzzFzzDzzBzz8zz6zz4zzlzzj\ zzhzzfzzczzazz_zzYzzVzzTz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 29-08-13 (Armageddon Out Of here [A-7,M-7])
by Jim Muth 29 Aug '13

29 Aug '13

FOTD -- August 29, 2013 (Rating A-7,M-7) Fractal visionaries and enthusiasts: What happens when Z to the power of the negative golden ratio is subtracted from Z to the power of the positive square root of two? Why, a twisted Mandelbrot set appears, with debris scattered around it. Today's scene lies just beyond the main spike of a larger minibrot located in this debris, well northeast of the main M-set. The name "Armageddon Out Of Here" seems to continue the doomsday mood of the recent FOTD names. Actually it is what a fellow worker, actually a serious born-again Christian, replied many years ago when I asked him what he would do if the mythical battle of Armageddon actually broke out. The rating of 7 for both the art and math indicates an average quality scene. The calculation time of 1-1/2 minutes is within reason, though a trip to one of the FOTD web sites will make things even more reasonable. Save time and reduce stress by checking the finished images at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A cloudy morning gave way to a mostly sunny afternoon here at Fractal Central today. The temperature of 82F 28C would have been ideal if the humidity had been just a little lower. The fractal cat slept through most of the non-action, while the fractal humans worked. The next FOTD fractal will be posted in a day or two. Until that time arrives, take care, and rational thinking is good enough except when it leads to the wrong conclusion. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= ArmagedonOutOfHere { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.par formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.4798163825723567/-0.6984455368321414\ /4.033931e+007/1/-57.5/0 params=1/1.4142136/-1/\ -1.6180339/0/1000/0/0 float=y maxiter=1200 inside=0 logmap=102 periodicity=6 colors=00000300400601832A53C94EC5FF6GJ7HM8IP9JSAKV\ BLYCM`DNdEOgGOjIPmKPpMPqOPqQPsSPtUPvWPwYPy_UyaZzcc\ zehubmqZhlVcgRZbNUYJPTFKQBFK7AD36902A13B13C24D25F3\ 6G36H47I48J58K59M69P6AS7BV7BY8Cb8Cg7Cl7Cp7CrBCvFCz\ KCzPCzUCzYDz`E`AEYBFVBFSCGQDHOEHMEIKFIRDJYBLd8Mk6N\ r4Oy2Pu6PqAPmEPiIPeLPaPPYTPVWPR_PS_PS_QT_QT_QU_QU_\ QU_QSYRQWSOUSNSTLQUJOVHMVFKWDIWBGX9EY8CY6AZ48Z8HWC\ PUGYRKeOOnLSvJUrIWnHZkG`gFbcEe`EgXDiUCkQCmNBoJAlIC\ iHDfHFcGG`FIYEJVDKSDMPCNMCPJBQGARHDOHHMIKJINGIQEIT\ BIW9LYCN_EQaHSdJVfMXhO_jRalTcnWfpYhr`ktbmveoxghsca\ o`VjXOeTH`PAWL3SIDROMPVWO`dMfmKlvJrsRmo_hlgchhZegV\ il`mkepgjtdowatzZyyWvxTtxQrwNpwKnvIkuGiuEgtCesAcsA\ arA_rAYqAWpAUpAcpAcoBcoCcnEcnFcnGcnHcmIhmJmmKrkKzm\ LznMzpMzqMzrMztMzuMzwMzxMzxKzxMzxOzwQzwSzwUzwWzwYz\ w_zwazwczwdzwezxfzxgzxhzyizzjzzkzzlzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmz } 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 28-08-13 (Creature of the Abyss [A-7,M-7])
by Jim Muth 28 Aug '13

28 Aug '13

FOTD -- August 28, 2013 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image comes to us straight from the abyss. This is why I named it "Creature of the Abyss". The most abysmal thing about the image is that its parent fractal does not exist. Check and see! If the inside is reset to 'numb' the image itself as well as the parent becomes only a blank screen. The negative exponent, Z^(-0.75), assures that no outside stuff will appear in the fractal. But as the FOTD 'evaporated' fractals have often shown, blank inside stuff is sometimes filled with hidden activity, which can be made manifest by the active inside fills. In today's image the 'bof60' fill does the job. There is little to say about the image, which is impossible to describe, and must be seen to be fully appreciated. It appears as a random mixture of smoothly blended broad areas and chaotically scrambled fine detail, with a kind of Mandelbrot bud trying to get started toward the bottom center. Both the art and math ratings are 7's, which are merely average and make the calculation time of six minutes too slow for comfort. Luckily, the web sites are ready to bring relief. Check the finished images at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Heavy clouds ruled the roost here at Fractal Central today, though after an early morning shower ended, the rest of the day was dry. Due to the high humidity, the temperature of 81F 27C felt more oppressive than would be expected. The fractal cat stretched out on the floor, then took to the back of the entertainment shelf. The humans had another in a long series of uneventful days, so if you're looking for soap-opera style relationship stuff, look elsewhere. The next FOTD will most likely be posted in 24 hours. The time next most likely is in 48 hours. Until whenever, take care, and be alert for the Anunnaki. We're not sure if they're good or evil, but they're involved in more conspiracies than anyone could imagine. Jim (I'm not one of them) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= CreatureOfTheAbyss { ; time=0:06:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 passes=1 center-mag=2.2770\ 4/-0.40904/17.41524/1/90/0 params=-0.75/-12 float=y maxiter=1500 inside=bof60 logmap=yes periodicity=6 colors=000RAwQ8vP5uO6tN5sN5rM4qM3pL3oL2nK1mK1lM4kN\ 6jP8iQBjSDkTFlVImWKnYMoZOo_RpaTqbVrdYse_tgauhdvjfw\ khxljxhgtedpbal_ZhXWdUTaRQYONULKQIHMFEJCBF01198B65\ 7323H`TDTNAMH6EB375wz8ns6ah5YZ4FS3AM2581egO`bLXZJT\ UGPQELMCLH9CD7884442543432432432332322321221221211\ 211111110100000000000000000000IAC9560004gH3`E2TB2M\ 81E5072Aiz9fw9dt8bq8`n7Zk7Xh6Ve6Tc5R`5PY5NV4KS4IP3\ GM3EK2CH2AE18B1680450229Sf8Pb7N_6LX6JT5HQ4FN4CJ3AG\ 28D269146023nFWjDTfCRcBP_AMW9KT8IP7GL6DI5BE49A3672\ 4312rT5oR4mQ4jP4hN4fM3cL3aK3ZI3XH3VG2SF2QD2NC2LB1J\ A1G81E71B61950730420200000000000000000I2kH2hG2fF2c\ E1aD1ZC1XB1UA1R91P81M71K60H50F40C30A2071050029QuQu\ 0Or0No0Mm0Lj0Kg0Ie0Hb0G_0FY0EV0DT0BQ0AN09L08I07F05\ D04A0370250120kUFeQD_MBUI9OF7IB5C73631M4OK3MJ3LI3J\ G3IF2GE2FC2EB2CA1B919718617505304202101rfLncJk`IgY\ HdWF`TEYQDUOBRLAOI9KG7HD6 } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 27-08-13 (End of the World [A-7,M-8])
by Jim Muth 28 Aug '13

28 Aug '13

FOTD -- August 27, 2013 (Rating A-7,M-8) Fractal visionaries and enthusiasts: Today's image lies in the fractal figure that results when 2.5 parts of Z^(-1.05) are mixed with 0.35 part of Z^(-5.05) and (1/C) is added on each iteration. It is half evaporated. The lower right half is evaporated; the upper left half is not, and the difference is striking. The diagonal line through the central minibrot is the front of the evaporation field, which advances from the lower right as the escape radius (imag(p3)) is increased. The name "End of the World" refers to the line of destruction advancing through the image, which has destroyed almost but not quite everything it has already passed. With a rating of an outstanding 8, the math value of today's image exceeds its artistic worth, which rates an everyday 7. The calculation time of 2 minutes will pass fast enough to keep boredom and impatience at bay. The nuisance part may be avoided by checking the finished image at one of the web sites. Check the image already calculated and posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Typical summer conditions prevailed here at Fractal Central today, with partly cloudy skies and a temperature of 86F 30C, along with the usual humidity. The fractal cat passed the day in stretch-out mode. The humans simply passed the day. The next FOTD will be posted in all its glory in the appropriate time. Until whenever, take care, and to explain the alien abduction phenomena we may need to let go of some of our most cherished rational scientific assumptions and admit that some of the most unlikely and kooky pseudo-scientific claims might hold some truth. Jim Muth (disappointed with science after all these years) jimmuth(a)earthlink.net START PARAMETER FILE======================================= End_of_the_World { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+10.81182375483324/-26.80591661101498/\ 3961/1/-152/0 inside=0 params=2.5/-1.05/0.35/\ -5.05/0/6.97976e+013/0/0 maxiter=3600 periodicity=6 colors=000B6ICDPDKVDR`EYfEdlFkrFqxDgpBZiAQb8HW78PC\ AQGBRKCSOETSFUWGV_HVaROc`IejCMZG2NK3ZT3iaTmMrq7qpD\ ppIppOopTopZnpcnphhlibhiYdjS`jNXkHTkCPkESjGUjIWiKY\ iKUgPXfTZeX`d`bcddbhfalh`AGY_WcykhxmcwnZwpUvqPurKu\ tFtuAtv6loIehTYbcRWnKQyJNqILiIIaHGUHEMOSPUeR_rTOuX\ Cx`0zc3xZ6wV9vRCuNFsJIrFLqBNp7MpFLpMKpUJp`IpgMhcQa\ _UUWYNSaFOe8LbAP`CTYDXWF`UHdRIhPKlNLpOQnPUmPYlQakR\ ejRiiOacLUZJNUGFPD7KB0FE4NG8UIC`LGhNKoPOvNWmLbdJjW\ HqNQgRZZVgPZpGbx7eoHZfRT`NWWKYRH`LEbGBeB8g65iEAeLA\ bSAZzgWeESs`PoILnRIlEKjILfEQdIUcHZcJbbLgbMkaOpaPtW\ KRQGTKDUEAW87X24YC5TL6PV7Kc8Gm9BvA7LggJfcIf`HeXFeU\ EdQDdNOSKYFIg2GR5TB8d8Li5Ym3aq3cq3fq3hq3kq2mq2pq2r\ q2uq2wq2xqUwpWvoYvn_umatlctletlgskjrjmrirqhvqhwpgw\ ofwoewndamccmcflbhkajk`lj_FZ8H_9I_AJ`BK`CL`DMQENQF\ OSFQSGRUHSUITWJUZKVdLWdMXdMZeN_eO`fPafQbfRcgSdgTeg\ TghUhhViiWufrpZokRmgKjbCh } 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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Re: [Fractint] AOTD 8_26_13
by Hal Lane 28 Aug '13

28 Aug '13

JackOfTradeZ said: > As you know, if you use logpallette=2, and > zoom in, the colors cycle thru the map from > beginning to end. I think "logpallette" should be "logmap" above... In any event, my ver 20.0 Fractint Docs say: ------------------------------------------------ logmap=2 or -2: Auto calculates the logmap value for maximum effect. ------------------------------------------------ - Hal Lane ######################## # hallane(a)earthlink.net ########################

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AOTD 8_26_13
by JackOfTradeZ＠comcast.net 27 Aug '13

27 Aug '13

. someone say: What causes the slow stepping of the color map shifts? - the sudden rapid shifts? As you know, if you use logpallette=2, and zoom in, the colors cycle thru the map from beginning to end. If you look at the map for the original FOTD ( a rather good map, I saved it for future use (HOW does he get these?...)) you can see some slow areas and some fast. That's how it happens, I do not "do" it. .

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Re: [Fractint] AOTD 8_26_13
by Hal Lane 27 Aug '13

27 Aug '13

> Author: JackOfTradeZ > Date: 2013-08-26 00:25 -400 > Subject: [Fractint] AOTD 8_26_13 > Animation of the FOTD for 8/16/13 is posted: Paul said: > Enjoyed the show!!! :-) I also enjoyed the show! What causes the slow stepping of the color map shifts? - the sudden rapid shifts? - Hal Lane ######################## # hallane(a)earthlink.net ######################## =============== Forwarded Posting ========================= Author: Paul N. Lee Date: 2013-08-26 01:11 -400 Subject: Re: [Fractint] AOTD 8_26_13 Lloyd Garrick (JackOfTradeZ) wrote: > > Animation of the FOTD for 8/16/13 is posted: > http://www.fractal-animation.net/vid/darksyde.zip > Enjoyed the show!!! :-) Found it interesting when it would quickly change colors rapidly then slow down for a few seconds before doing it again. Sometimes the quick changes were too fast to really appreciate what was going on. The music seemed like something from a movie soundtrack, but could not place it. Sincerely, P.N.L. ===========================================================

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Re: [Fractint] Something in the resulting image reminds me of an undersea scene
by Hal Lane 27 Aug '13

27 Aug '13

Jim, In your discussion for your FOTD for August 26th, 2013: http://www.crosscanpuzzles.com/Aug13/082613.html you say: "...Something in the resulting image reminds me of an undersea scene..." Perhaps it's your fractal's central radiating pattern, that's also found on sea urchins: http://tinyurl.com/Sea-urchins-5-or-15-fold-sym or: http://www.rsc.org/chemistryworld/sites/default/files/upload/sea-urchins_shu tterstock_300.jpg as well their spines -- which are suggested by the sharp green objects in your fractal... - Hal Lane ######################## # hallane(a)earthlink.net ########################

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FOTD 26-08-13 (Undersea Scene [A-8,M-7])
by Jim Muth 26 Aug '13

26 Aug '13

FOTD -- August 26, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image is evaporated, which means the escape radius has been increased until nothing but trapped 'inside' stuff remains. The blank scene was then rendered with the inside set to 'bof61', bringing to life the apparently dead inside stuff. Something in the resulting image reminds me of an undersea scene, which is what I named it. The parent fractal combines 0.7 part of Z^(-0.5) with 0.1 part of Z^(-5.5), then adds (1/C) on each iteration. The resulting figure resembles an oversized peanut with a larger area of squiggly chaos to its northeast. Today's scene lies in the outer part of this squiggly chaos. Thanks to my extra coloring effort, the artistic rating of the image is a very respectful 8. The evaporated nature of the parent fractal raises the math interest to a not-too-bad 7. The calculation time of 1-3/4 minutes will seem to pass quickly after the top part of the image appears. Those who do not calculate fractals may view the finished image at one of the web sites. The completely calculated image is posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Today brought lots of clouds to Fractal Central, and even a few minor sprinkles of rain. The temperature of 82F 28C must have been perfect, at least for the fractal cat, who passed the afternoon sleeping and eating while the fractal humans worked. The next FOTD *will* be posted. Exactly when is anybody's guess, but it will not be too long. Until whenever, take care, and due to the limited speed of light it is currently scientifically impossible for aliens from distant stars to reach us here on earth. Yet many people claim to see alien ships in our skies. Either science is missing something big or a lot of people are mistaken. Or perhaps the aliens are unfamiliar with our earth science and visit us despite the impossibility. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Undersea_Scene { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+46.67800906092363/+32.51216039765313/\ 1.2e+08/1/-15/0 params=0.7/-0.5/0.1/-5.5/0/1e+100/\ 0/0 float=y maxiter=1500 inside=bof61 periodicity=6 colors=000amZeoWipUmmQmlRmlTlkUlkVlkXkjYkjZkj_gqid\ wrfupgtoirmjqlkokmninlhokgqiesgbrhduz4tR9tTDtWItYM\ s`RsbVse_BB7HGCNKGSOKYSOcWSh_WMqKVfFbWAjL5rB0qJApR\ KpZUofconmqhhrccsYZtTVuOQvILwDGx8CvRFuhItzLmsIglG`\ eEVZCOSAIL8BE6574DIGLSSTab`knhuydqtanoZkjVgeSd`PaW\ Kh_GnchugFzjRpb5fV5`N4NF3E7350A41H47O3DV3JZ2Pb2Vc2\ `j2ah2am2am2at2au2av2azLfzVkzUoz`RzVSzQSpVTzZXzZTz\ ZQzZNzhKzhHzhEzhBzr9zr8zr8zr8zr8zr8mr8mr8zzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzvzzwzzwzzw\ zzwzzwzzwzzwzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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AOTD 8_26_13
by JackOfTradeZ＠comcast.net 26 Aug '13

26 Aug '13

. Animation of the FOTD for 8/16/13 is posted: http://www.fractal-animation.net/vid/darksyde.zip 88 second run time, 640x480, 26MEG .

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FOTD 25-08-13 (Pentagonal Paradise [A-7,M-6])
by Jim Muth 25 Aug '13

25 Aug '13

FOTD -- August 25, 2013 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's speedy image is a Julia set of a MandelbrotBC Mandeloid. The corresponding Mandelbrot set came about when I calculated the Z^(1.11)+C Mandeloid 111 levels up the hyperladder with the floor rounding function applied. This Mandeloid is shaped like a torpedo, as are so many Mandeloid fractals in the range just above Z^1, or unity. The formula is the original JuliaBC formula posted to the Fractint list a number of years ago by Andrew Coppin and reworked by myself several times since then. The MandelbrotBC version is one of the most prolific formulas of all time. (formulae for the over-educated) The artistic worth of a 7 and math worth of a 6 might be a bit conservative, the image, with its electric blue highlights, is really rather striking, but at least IMO the over-familiarity holds down the values. The name "Pentagonal Paradise" has nothing to do with heaven. It refers to the few smaller inner highlights, which have somehow formed themselves into near-perfect pentagons. The calculation time of 30 seconds will appear to pass in a flash. This blinding flash may be avoided by viewing the finished image on one of the web sites. The FOTD web sites are at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The perfect weather keeps coming here at Fractal Central. Today brought tons of sun and a temperature of 82F 28C, which kept both cat and humans happy. The next FOTD will be posted when the aliens from outer space appear, and from what I read, this will most likely be within a day or so. Until whenever, take care, and maybe the aliens are already among us. Jim (I am not an alien) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= PentagonalParadise { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC passes=1 center-mag=-0.120052/\ -0.119167/0.7668/1/-87.5/0 params=1.11/0/111/0/\ -0.041/0.146/0/0 float=y maxiter=256 inside=bof60 logmap=yes periodicity=6 colors=0000Kz0Fv0Ar07m05h02c00Z00U00P00K00F00D00C0\ 0A009007006Uzz00000600A00C00F40I60Q80V90Z90c90hA0m\ A0rB4vA5zA6zA7zA8zA9zAAzABzACzADzAEzAFzAGzAHzAIzAJ\ zAKzALz4aG5ZL6XQ7UU8SZ9QbANgBLlCIpDGujgqzv0zt0zr0z\ pVznWzlYzjZzhUzgPzeKzcAza0z_0zY0zW0zU0zT0zR0zP0INr\ HLsGJuFHvEFxHs4Gq7Go9GmCGlEGjHGhJFfLFeOFcQFaTF_VFZ\ XEX_EVaETdESfEQiEOkDMmDLpDJrDHuDFwJW1IT9HRHGPOGNWF\ KcEIjDGruLIpKNkJSfIXaHaXHfSGkNFpIEu5QZ6P`6Ob7Nc7Ne\ 8Mf8Lh9Lj9KkAJmAInBIpBHrCGsCGuDFvDExaoeZjhWfjTblQZ\ nOUqLQsIMuoQDhVGa`KVeNNjQGpU9uX2z_EybQxe`xhlwkwwno\ shgpc_lZTiTLeODbJ6_EG`HQaJZbLc_KhYJmVIrTIsUPtVWuVb\ vWiwXpwXvoVuhUuaTtVRtOQsHPsKSlMVfPY`R`VUcOWfIZiC`k\ 6Xj9UiCQhFNgIKgLEcG8_B3W76YE8_LAaRG_MMZISYEYW9cV5h\ U1bW3YX5TZ7O_9JaBEbD9cETQHkCJeBL`ANW9PR8QM7SH6UC6V\ BQKBh9LiIViRdj_njhwjpWV`4FM8INCKOGMPJOPNRQRTRVVSYX\ S`aWbf_dkcfpghukjzorh`ySM } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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FOTD 24-08-13 (Magic Carpet [A-7,M-3])
by Jim Muth 24 Aug '13

24 Aug '13

FOTD -- August 24, 2013 (Rating A-7,M-3) Fractal visionaries and enthusiasts: Today's fractal is another scene in the conventional math range of the Mandelbrot set. Granted, its magnitude is at the extreme limit, but the tiny improvement that would be gained by rendering it with arbitrary precision math would not be worth the hour or so required to do so. The location is on the east side of the north branch of Seahorse Valley. The art rating of a 7 reflects the extra effort required to bring out the effect. The name "Magic Carpet" came about when something in the image reminded me of an oriental carpet. The image may be calculated in a few seconds or an hour or so, depending on whether conventional or arbitrary precision math is used. The need to make such a tough decision may be avoided by visiting one of the web sites. Be smart! Avoid tough decisions! Check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> or <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> or <http://www.Nahee.com/FOTD/> or <http://user.xmission.com/~legalize/fractals/fotd/about.html> Today's weather was perfect for the festivals in the area, with brilliant sun, cottonpuff clouds, and a temperature of 81F 27C. The fractal cat took it easy while the fractal humans were out at one of the local festivals. The next FOTD will be posted when we have traveled a light day or two. Until we get there, take care, and everyone knows that, due to the distances, it is impossible for space aliens from other solar systems to reach earth. But why then do so many earth people, who know that space aliens cannot reach earth, keep reporting that they have seen the aliens? Jim (never seen an alien) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Magic_Carpet { ; time=0:00:15.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 bailout=36 center-mag=-0.7418546457524966/+0.143748516797246/\ 1.1735e+013/1/38/0 params=0/0 float=y maxiter=6500 logmap=1620 periodicity=6 mathtolerance=0.05/1 colors=000LA8LA8LA8LA8LA8MA8MB8MC7MD7ME7ND7ND7ND7N\ D7ND7ND6OC6OC6OC6OC6OD6OD6PD6PD5PE5PE5PF5PF5QF5QF5\ QF5QG4QG4QH4RG4RH4RH4RI4RI4SI3SI3SI3SI3SI3SI3TH3TH\ 3TH2TH2TH2TH2UG2UG2UG2UG2UG1UG1VF1VF1VF1VF1VF1VF1U\ F2TE2TF3SE3SF4RE4RF5QE5QF6PE6PD6OD7NC7MC8LB8KB9KA9\ KAAKAAKBBKBBJBBICCHCCGDDFDDEEEDDECBFB9FA6G93G00000\ 0000000000000000000000000000000000000000000K0AM0AF\ 0AF0AF0AG0AH0AI0AJ0BK0CL1DM2EN3FP4GR5HT6IV7CX77ZB6\ `F6aJ5`M5XQ4UU4cY4m`3zd3zh2vl6roAmpFmpKmqPhqUjrZcr\ chrhmsmrsrvtvzwzzzzvzzszzozzlzzizzevzazzZzzYzz_zzW\ zzTzzTzzUzzVyzWxzXwzXwzYwzZwz_wz_wzdwzhwzhwzgwz_wz\ TwzXmz`mzdmzhmzlczcUzcKzUAzK0MR0LV0KA0JF30K4905CC6\ QI7YS8fW9iZ9lCLmJXmQgmY_odTqkLsrEtmAbh6LcDV_JdWQnS\ WwWVn_VecVYgVPkVGoV8hYG`_NUbVNdaKZgHTmENsB_g8kX5wM\ 5qJ5kG5eD5_A5U75P4BQ3HR3MR3SS3YT3bT3hU3mU3UrrWphYn\ ZdiejekqarQdN8pQCnPGlOKjN } END PARAMETER FILE=========================================

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FOTD 23-08-13 (The Founding Father [A-7,M-3])
by Jim Muth 23 Aug '13

23 Aug '13

FOTD -- August 23, 2013 (Rating A-7,M-3) Fractal visionaries and enthusiasts: Today's image takes us once again to perhaps the most familiar and most explored object in the world of fractals -- Seahorse Valley of the Mandelbrot set. The exact location lies quite deep in the eastern, (main bay), side of the north branch, though still within the range of the speedy conventional math routine. The name "The Founding Father" has nothing to do with history or civics, it refers to the Mandelbrot set as the father of all fractals. The math rating of a lowly 3 is mostly due to the extreme familiarity of the expression Z^2+C and the unlimited things it does. The art rating of a 7, when combined with the rocket-fast calculation time of only a few seconds, makes the image well worth the simple chore of calculating it. Make life more simple by checking the finished image on one of the following web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Clouds prevailed most all day here at Fractal Central today, but the sun did manage to break through later in the afternoon, leading to a fine evening. The temperature of 77F 25C was as close to perfect as it is possible for a day to be. The fractal cat burrowed under the chair cover shortly after lunch, and spent most of the afternoon in hiding. The fractal humans passed the time pondering the possible pitfalls of our modern, 'advanced', increasingly-technology-based western culture. The next FOTD will be posted in a day or two. Until then, take care, and when humans become extinct, who will remember us? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= TheFoundingFather { ; time=0:00:20.00 SF5 at 2000MHZ reset=2004 type=mandel center-mag=-0.7499841692570\ 846/+0.01444653206443146/2.040464e+012/1/-31/0 params=0/0 float=y maxiter=16000 inside=0 logmap=-1650 periodicity=6 mathtolerance=0.05/1 colors=000cUlcUndUqeUsfUuhVwiWvjXujYtkZtl`slbrmdqm\ fqnipolooonpqnqsmqulrxkrzkiudaqYUlSMhLEcE6_89YACWB\ EVD00A00A00A00A00A00A00A00A00ATXNV_QYeT`i`cqmhrols\ zkzxmwqmwmjrfglcdg`aaY_XVXRSULPRGMOAJM5GN7IN8JNAKN\ BMNDNNEOOGPOHROISOKTOLVONWPOXPQYPR_PT`PUaPVbSYcU`d\ XceZefahgckhfnihpigldfg_ecVd_QcVLbRGaNB_PEYQGXSIVT\ LUVNSWPRYSPZUO`WMaZLc`JdbIfeGggFhiLchQZhWUh`PhfKhk\ FhqAhv5hpAjjEleJm_NoVSqPWrK`tEdv9hwAevAcuBatB_sCXr\ CVqDTqDRpEOoEMnFKmFIlFGlILjKQhMVfO_dQdbSi`UnZWsXYx\ WJkT5ZQ6_S6`U6`V6aX6aY7b_7ca7cb7dd7de8bd8`c9Zc9Xb9\ VbATaARaBQ`BO`BM_CK_CIZDGZDEYDDYFJWGPVHVTI`SKfQLlP\ MrNNxMLtLKqLJnLIkLHhKGeKFbKD_KCXKBUJARJ9OJ8LJ7IJAK\ MDMOGNQIPSLQUOSWRTYTV_WWaZYc`ZeeVfjSgoPhfUeYZbPc_H\ hXKdVNaUQZTTVRVSQYPP`LNcIMfFLhCKgBLfALe9Ld8Mc8Mb7M\ a6N`5N_5NZ4OY3OX2OX2OY4MY6LY7KY9IYBHYCGYEEYFDZHCZJ\ AZK9ZM8ZO6ZP5ZR4ZS3ZV4ZY5 } END PARAMETER FILE=========================================

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FOTD 22-08-13 (Case of The Blues [A-9,M-8])
by Jim Muth 22 Aug '13

22 Aug '13

FOTD -- August 22, 2013 (Rating A-9,M-8) Fractal visionaries and enthusiasts: Today's image involves several tricks. To begin, a good part of the image consists of inside stuff made visible by rendering it with the 'bof60' option. But perhaps the most interesting fact is that the scene lies in an apparently uncritical part of the parent fractal. This parent consists of a large oval-shaped central bay with prominent buds on its north and south sides and half-obscured buds on its east and west sides. The scene lies in a blunt arm converging on the mouth of a partially obscured bud on the northeast shoreline of the main bay. The entire area is rather moth-eaten, but the 'bof60' outside fill hides the empty parts of the scene. The name "Case of The Blues" does not imply a case of clinical depression. It refers to the overall blue cast of the image, which required an hour's work to achieve and earns an artistic rating of a monumental 9. The math rating of an 8 reflects my surprise at finding an intact minibrot hidden in an apparent uncritical part of the parent fractal. The calculation time of 2-1/2 minutes is near average, but there is still the task of setting up and running the parameter file to contend with. The web sites eliminate this task. The finished image is available on the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A mix of sun and clouds with a temperature of 86F 30C made today a perfect summer day here at Fractal Central. The fractal cat, who is already going on eleven years old, spent the day watching birds and sleeping, while the fractal humans spent the day discussing the meaning of life, or more appropriately, the apparent lack thereof. The next FOTD will be posted whenever it is. Tomorrow or the day after are the two best guesses. Until whenever happens, take care, and how can we be so concerned with the meaning of life when we don't even know for sure that the world is real? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Case_of_The_Blues { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.49584361088/+0.37537280378/84224/1/\ -90/0 params=-1/3/-1/5/0/0/0/0 float=y maxiter=1600 inside=bof60 logmap=yes periodicity=6 colors=000azzVtzQqzMlzGez8`z8Vz8Nz8Fu8Bm4Ac06Z03Q0\ 0KUHSgFItD8wUPyjdwheuffsegrchpbin`jmZkkYliWmgVnfTo\ 000bQpaOq_NrYLsWKtVIuTGvRFwQDxOCyMAzL9zJAxIBvHBtGC\ rFCpEDnDDmCEkBEiAFg9Fe8Gc7GbAGaCGaEGaGGaIGaKGaMGaP\ GaRGaTGaVGaXGaZGa`GabGaeGagGaiGakGamGaoGaqGasGajRx\ WfoSeeOdWPbYQa_R`aSZbTYdTXfUWhVUiWTkXSmYQnYPpZQr_R\ t`SuaTwbUycVzdWyeXxfYwgZvh_ui`tjaskarlaqmapmaomanm\ bmmclmekmfjmhimihmkgmlfmnemoemmfmkgmigmghmehmcimai\ m_jmYjmWkmUkmSlnQloOmmMmkKniJngGYeDHcB0bC6aCC`DI_D\ OZEUYE_XEdWDcUDbSDbQCaOCaMC`KC`ID_HI_IMZJNZKOWKPUL\ PSLTQMXOMXMNXKNXIOXFOXDPXBPX9QX7QZ5RZ3RZ1Ub5Xa9ZaD\ abHzzKzkOigSkdWna_pZbkVagS`cO`_L_WIZSEZOBYK8YNAXPB\ WRCVUDVWEUYFT_GSbHSdIRfKQhLPkMPmNOoONqPMtQMvRLxSKz\ TKyVMxWNwXOvZPv_Qu`RtbTscUsdVrfWqgXphYoj_ok`nlamnb\ loclpd`peQpfFpg4pg4oe4nd4mc4la4k`4j_4iY4iX4hW4gU4f\ T4eS4dQ4cP4bO4bM4aL4`K8jq } 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 21-08-13 (Mandelbrot Legacy [A-8,M-5])
by Jim Muth 21 Aug '13

21 Aug '13

FOTD -- August 21, 2013 (Rating A-8,M-5) Fractal visionaries and enthusiasts: Today's image is a scene deep in the debris on the west shoreline of the north branch of Seahorse Valley of the Mandelbrot set. Due to the extra coloring effort, the artistic worth of the image is a lofty 8, but due to the over-familiarity of the Mandelbrot set, the mathematical worth is only a mediocre 5. The name "Mandelbrot Legacy" is a bit of homage to the man who discovered the M-set over 30 years ago. The calculation time of 19 minutes may be cut nearly in half by resetting the passes option to 'g', but doing so will miss the finer bits of detail around the outer edge of the frame. Much time may be saved by viewing the finished image on one of the FOTD web sites. Some of the sites may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Near perfect weather made today a delight here at Fractal Central. At least the fractal cat thought so. He spent several hours in the dining room window, watching the birds in the back yard and making sure no unwanted cats intruded. The fractal humans had another near normal day. How dull and boring can a report of fractal activity be? The next FOTD will be posted while the moon is waning. Until the exact moment arrives, take care, and science keeps showing that ghosts do not exist except in the minds of those who see them. Why then are ghosts and hauntings becoming so trendy on the TV channels? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Mandelbrot_Legacy { ; time=0:19:00.00 SF5 at 2000MHZ reset=2004 type=mandel passes=1 center-mag=-1.7830\ 52813769668868412/0.005956939879739020396/\ 7.694037e+016/1/-109/0 params=0/0 float=y maxiter=18000 bailout=6 inside=0 logmap=1072 colors=00022H23I34J45K56L68M8ATAFVEKXHPZKUcNZfPcbQ\ h_RjXTiSUlOcocmrcoxmzzzwmmmcccUUUKKKCKA60000illhnf\ hp`hqWhsQpuKrvFmsKdqOcoSamX`k`ZidYghTagOWgJQfEKfCL\ eAMd8Mc6Nb5NbIYaUg`SeYQdWObUMaSK`PIZNGYLFXJKWLOWMT\ WNXWOaVQeVRjVSnVT_RcLNm6KwIx4Lt8NqCQmGSjJUgNXcRZ`V\ `YYeZai_em_hq`luapyasrZokWldUhYReRPaKMZEKWANd7QlFT\ hNVeVXaa_ZiaVqcSxePtcSqaVm_YjY`fWccVf_UeWUeSUeOUeK\ UdGUdCUd8UdPVdeVdbDcZHdWKdSNdPQdLTeIWeEZeBae9Yd8Vd\ 6Sd5Pd3Md2Jd1GdAFhIEkRDnZCqgBtoBwhHoaNhVT`OYUHZMAc\ K0m8nz7an6Qa5DT41F4WdLrzzrzzzvdzrfzngrlhpkjoiknhls\ gmrfmqekpZioSgnLefBcU1Xk5_l9YnDWpGUsKSuOQwSPyVPnMI\ dDCV46_9BdDFhHJmMNqQRvUVzYZwMTtBOr0JeFPUUVIh_PmdVr\ havmgzqnzvtzzazzKzzJzpIzgIzYHzPHzGxz_yzZyzZyzZzzYz\ zYzzYyzWxzUwzSvzRuzPtzNszLrzKjzSczZXzfQzmJztOzqTzo\ YzlbzjXzdRz_nzAfzG_zLSzUOzTLzRHzPDzO9zM6zLEzILzGTz\ E_zBgz9nz7lz5kz4fz9bzDZzI } END PARAMETER FILE=========================================

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FOTD 19-08-13 (Strange Animal [A-8,M-7])
by Jim Muth 19 Aug '13

19 Aug '13

FOTD -- August 19, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image lies in the depths of its Mandelbrot set parent, which is corrupted in its mid-depths by Z^5 energies. The exact location lies deep in an anti-East Valley (West Valley with East Valley characteristics) in a small, obscure minibrot on the main spike of the parent. This minibrot has been caught about halfway through the process of morphing from quadratic to quintic. The much smaller minibrot at the center of today's image has already completed the transition from quadratic to quintic nature, but its quadratic tendencies still show strongly in the shape of the surrounding pattern, which obviously reflects the Mandelbrot shape. The whole thing makes a strange animal indeed, which is what I named the image. The artistic value of an 8 reflects the extra effort I put into the coloring. After all, without good coloring, a fractal is little more than a screen filled with meaningless chaos. The math value of a 7 shows the unlikeliness of quintic and quadratic elements appearing in the same fractal. The calculation time of 1-1/2 minutes is fast enough to eliminate any significant waste of time and effort in rendering the image. But the task of running a parameter file still remains. This task may be eliminated by visiting one of the FOTD web sites. Those with calculation anxiety or over-qualified machines can find the finished image posted on most or all of the following web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Heavy clouds, a morning shower and an afternoon temperature of 75F 24C left a depressing pall over the Fractal Central area today. The fractal cat, never one to be seriously depressed, stretched on the floor, then took comfort under his favorite chair cover. The humans made it through another day, with the most memorable thing being the FOTD fractal. The next fractal will be posted as soon as I find one worth posting, (my standards are becoming higher), and find the time to write something about it. Until whenever that might be, take care, and watch for the first signs of the impending collapse of our western culture. Am I serious? That's for me to know and the readers to guess. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Strange_Animal { ; time=0:00:50.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.674347715840595/0/5.809659e+008 params=5/100000/0/0 float=y maxiter=1500 inside=0 symmetry=xaxis logmap=127 periodicity=6 colors=000_00a00c50eA0gF0iK0kP0mU0lZ0kc0jg0ij0hk0g\ l0fm0eo0dq2hs3ku2mvArwKvxUzyczzmzzqzzuzzxzzzzzzzzz\ zzzzwzztzzqzvnzrktmhmheccdUZcKUbARa1Q`1Q_1PZ1OY1NX\ 1NW1MV1LU1LT1KS1JR1IQ1IP1HO1GN1FM1FL1EK0DJ0DI0CH0B\ G0AF0AE09D08C07B07A0690580570460350240230120010Fpz\ EnzEmzDkzDjzDiwCgtCfqBeoBcmBbkAaiA_gAZe9Xd9Wc8Vb8T\ a8S`7R_7PZ6OY6NX6LW5KU5JS5HQ4GO4EM3DK3CI3AG29E28C1\ 6A158146024012n7El6Dj6Dh6Ce6Cc5Ba5BZ5AX5AV49S49Q49\ P48N48M37L37J36I36H25F25E24D24B24A1391371261250130\ 12001002pA1n91m91l91k91j81i81g81f81e81d71c71b71a71\ _61Z61Y61X61W61V51T51S51R51Q50P40O4UN4UL4UK3UJ3UI3\ UH3UG3UE2UD2UC2UB2UA1K91K81K61K51U4UU3UU2UU1UUTUUP\ UUMUUJUUGcUCcU9cc6cc3mcGmcFmcEmmDzmCzmCzmBzmAzm9zz\ 8zz8zz7zz6zz5zz4zz4zz3zz2zz1zz0zzwpzunzslzqkzpiznh\ zlfzkeziczgbze`zd_zbYz`XzLszKtzJuzIvzIvzHszGqzGozF\ mzEkzEizDgzDezCczBazB_zAY } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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unsuscrib
by Rick 17 Aug '13

17 Aug '13

Please take my name and email address off of your mailing list. Thank you.

1 0

Re: [Fractint] August 5, 2013: Anti-Minibrot
by JackOfTradeZ＠comcast.net 17 Aug '13

17 Aug '13

. Anyone have trouble rendering the August 5, 2013: Anti-Minibrot FOTD? I want to try zoom animation, but all I get is a black screen. The TAB screen shows it is working, but I see nothing. Baffling. .

3 6

Re: [Fractint] Fractals without iteration or feedback?
by Jason Hine 17 Aug '13

17 Aug '13

Thank you Paul, will do. I'll share what I learn here... I suspect plasma, but that's mainly because I don't recall exactly how it's generated. Cheers, Jason

1 0

FOTD 16-08-13 (The Dark Side [A-7,M-7])
by Jim Muth 17 Aug '13

17 Aug '13

FOTD -- August 16, 2013 (Rating A-7,M-7) START PARAMETER FILE======================================= The_Dark_Side { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=+25.47676322683137/-2.610879700386511/\ 5.025245e+007/1/50/0 params=1/1.99/-1/2.01/0/3500\ /0/0 maxiter=2250 inside=0 logmap=344 periodicity=6 colors=000IOVGLSEIOCGLADI8AG68E45C22B01A0090080070\ 06005004003002001000eMI`JGWHESECNCAI98E76944422Wfn\ cdzKKVWRERNCMJAIF8DB69744326_856j45b34V23N12F017Bd\ TA`Q9YO8UL7RJ6NG5KE4HC3D92A7164032W0mS0hP0cM0ZJ0UG\ 0PC0K90F60A305zxFusDpnCkiBfeAa`9XW8TS6ON5JI4EE3992\ 441sc_m_WhWTcTQZPMULJPIGKEDFA9A765330Mc0K_0IX0GU0F\ R0DO0BL0AI08F06C059036013HHqFFkDDeBB_99U77O55I33C1\ 16obtQJSLwOHmKEcGAUC7K83A4p47g35Z24Q23H12801iNyNBV\ Hv_FqXElUDhRBcOA_M9VJ7RG6MD5IB3D829514243A22611345\ i34e34b34_23X23U23RgrrespctnaulZvkXwiVxgTyfyhHpmUg\ reZvqWetTQwQAzNLpLVfJdXzzzJkNKhNLeNMbNN_NOXNPUNQRN\ RONO25C1252`41Y41W41T31R31O31M21J20H20E10C10910700\ 4002g2zd1va1rZ1nX1jU1fR1bO1ZM1VJ0RG0ND0JB0F80B5072\ 039_O8XM7VK7SJ6QH6OG5LE4JC4GB3E93C8296174143021c4l\ Z3fV3aQ2WM2RH1LD1G80A4053fh2Uz2Uz2Uz1Uz1cz1cz1cz0h\ z0hz0mzUmzSrzQvzOzzMzzKzz } 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=========================================

1 0

FOTD 15-08-13 (Forever Spinning [A-6,M-6])
by Jim Muth 17 Aug '13

17 Aug '13

FOTD -- August 15, 2013 (Rating A-6,M-6) START PARAMETER FILE======================================= Forever_Spinning { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident float=y center-mag=+0.9845519352355383/+1.236523568822507\ /1.232872e+007/1/-117.5/0 params=1.618/0/4/0 maxiter=1500 inside=0 logmap=62 periodicity=6 colors=000bPS`MUZKWYHYWF_UCaSAcR8eTAfVBgWCgYDh_Eh`\ FibGicHjeIjgJkhKk00030040A649769979A98CA8DC7FD7GF7\ IG6JH6KI6MJ5NP5PQ4QR4SS4TT3VZ3W_2Y`2Za2`b1ac1b_1c`\ 1dW1eW1eW1kW1lW1mW1mX1nX1oX1oX1pX1qX1rX1rY1sY1oY1u\ b1ub1vb1wb1wc1xc1yc1zh1zh1zh1wh1wh1xcGxhUxmhxrvuot\ rmsokqlipignfemcck`ajZ_hWYgTWeQUdNSbKQaHO_EMZBKX9I\ W8HU8GS8GR8FP8FO8EM8DK8DJ8CH8CG7BF7BF7AE7AE6AD69D6\ 9C69C58B58B57A57A479469468E0E468357357346346245235\ 234234123123112112011001000fTsdRpbQnaPl_OjYNhXMfVL\ cTKaSI_QHYOGWNFULESJDPICNGBLEAJD8HB7F96C85A6484363\ 24112SlXOeSKZNGSICLE8E9474j__hYYgXXeWWdVVbUUaTT_SS\ ZURXUPWUOUUNTUMRcLQcKOcJNcIMcGKcFJcEHcDGcCEcBDcABc\ 9Ah78h67h55h44m32m21m1Px9Kz7Gz6Cz48z34z19zC8zB8zA7\ zA7z97z96z86z85z75z75z64z64z53z53z43z42z32z31z21z2\ 1z10z10z0XzDVzCUzCTzBSzBRzAQzAPz9Nz9Mz8Lz8Kz8Jz7Iz\ 7Hz6Fz6Ez5Dz5Cz4Bz4Az49z3 } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

FOTD 13-08-13 (Sublimity For All [A-8,M-7])
by Jim Muth 17 Aug '13

17 Aug '13

FOTD -- August 13, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: With an artistic rating of an 8 and a math rating of a 7, today's image is quite an improvement over yesterday's. The name "Sublimity For All" might be an exaggeration, but it is what came to mind when I shut down my thinking processes. The actual scene lies in the wedge-shaped East Valley of the large minibrot on the fractalized main stem of the (-Z)^(2.003)+C Mandeloid. This is the exact area where the strange rectangle lies in the Julia sets of the (+Z)^(2.003)+(C) Mandeloid. The image has no rectangles in it, but it certainly does have lots of fractal goodies. As an additional bonus, the image calculates in 1-2/3 minutes, not the fastest image of all time, but still fast enough to take the drudgery from the calculation. Total calculation relief is available at the following web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> where the finished image is or soon will be posted. The day here at Fractal Central began with rain, but the rain ended by 9am and the clouds broke by noon, leading to a mostly sunny afternoon with a temperature of 84F 29C. The remaining fractal cat Nicholas, (Nico for short), had a lazy day sleeping on the shelf behind the TV, a pleasant way for a cat to spend a day, but quite boring for humans who want action. The humans were also annoyed by a balky computer. The next FOTD will be posted ultimately. Until that uncertain time arrives, take care, and on a recent TV show about the quirks of the human brain, the word 'brain' was mentioned over two-hundred times, and the word 'mind', not even once. I suspect that a group of skeptical materialists was behind the show, spreading their belief that we are nothing more than the activity of the material of our brains. (The idea is scientific enough, but I would like to see a rational, step-by-step demonstration of the transition from activity in the material world of neurons to ideas in the immaterial world of conscious thought.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Sublimity_For_All { ; time=0:01:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotMiN passes=1 center-mag=-1.746408269455024/+0.00000209957438854\ /2.437446e+011/1/162.5/0 params=2.003/0/0/0/0/0 float=y maxiter=1500 inside=0 logmap=239 periodicity=6 mathtolerance=0.05/1 colors=000BLP9MM8NKCOMGPOJQPNSRRUTUXUYZXaa`dcehfil\ hoomqsrzwvzzzzyvzxrzwmrwhfvfeudetbdt_dsYcrWcqUbqRb\ pPaoNaoLalIciGdfEecCf`AgY8hV6iS4jP2kN0lO5mPAmQFnQJ\ nROnSToTYoTaoVzxXwgZrc0pM2OG33BB2HJ2NQ1TY1Ze0dl0jg\ 8acGT_OKWWCLRQBNcEOdHOdKPdNPdfA8QPdWV_`_WfdRkiNnp4\ pnJsgZqlXoqVmvTepMYkGQf9Ia3Gb5Fc7Ec8CdABdBAeD7hC9e\ EAbFC`GDYHFVIFNUDLR`e_beWdfSegOghKihGkiCmj8ok4pk1e\ g1Vd1Ka1AZ1CX6EWBGVFITKKSPMRTNPYPOaRNfTLkVKoXJtYIx\ XMuXPrXSoWVlWZjWagWddVgaVjZVnXUqUUtRUwOUzMfsKrlJrb\ VocUldTjeSgfSdgRbhQ_iQYjPVkOSlOQmNNnMKoMIpLFqKDrKM\ nRUkXbgbjdhraniZj`XgTVdWUgYTi_SkaRmcQoePqgOsiNukMw\ aQvSUvJXu9`u0cu0an0_h0Yb0WW0UQ0TK9PVILeRHpQJqPLrON\ rNPsMQtLStLUuKWvJYvIZwH`xGbxFdyFeyGczHazH_zIYzIWzJ\ UzJSzKQzKOzKPzLPzMPzNQzOQzPQzQQzRRzSRzTRzTUzGgzHez\ IdzJczKbzPYzUSzXVzZXz`Zzb`zdbzfdzhfz_VzRJzQLzQNzPP\ zPQzOSzOUzVRzOVzIZzCbz6fz } frm:MandelbrotMiN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=(-z)^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 14-08-13 (Sharpness [A-7,M-6])
by Jim Muth 17 Aug '13

17 Aug '13

FOTD -- August 14, 2013 (Rating A-7,M-6) The lack of a discussion for the next three days does not mean a permanent change in FOTD format. Due to a lack of time, the FOTD's for the 14th, 15th and 16th will be posted without the usual discussion. For convenience, the parameter files will be included however. START PARAMETER FILE======================================= Sharpness { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident inside=0 center-mag=-1.751865815501035/-0.00876262863845408\ /4.362643e+012/1/89/0 params=1.997/0/0/0 float=y maxiter=5000 periodicity=6 mathtolerance=0.05/1 colors=000zsz_QUziJz`EnT9`L4OB08000H40C00800400000\ 00zzpvpbbZPGE86T20B0LQtCHe69Q0090L0060WH0OB0G60800\ 000H_nz0zi0eL0Hzrt4ez0HXz42k00M00znzUstPklLeeGXZBQ\ Q6HH099000fCcZ8WA4PJ0H908000HHQCCL88E4490020000Jz0\ 9k00MAFEA79CC46400004f60J0us0lj0cb0WU0ML0CB0000lC0\ b80S20G00200Czt8xi2iX0TL0B6TxzPpsLikG`bBTU6LM0BB00\ 0zurzlirc`7APWMLJCB4004KK0mx0nn0cc0TT0HHA6ASWzol8g\ e4_X2SQ0JH0990000r_TZMHE64zXzjOvUCbB0GJgezn_ycSjTJ\ TH9B40f0z_0rT0iM0_E0P60E002_zzPntEX`2CGMjQHbLCWG8P\ B4G60800000eW0HC0Uz0Lv0Bb00GioJbgEX`BQU8LO4CG06800\ 00fXzZQzQLoJCb96O008zizzZyjPjUETB2BQ0LM0GH0CC09906\ 400000zzzpz0kz8fuL`nWWffQZpLQzGHzzCpuMXfEO002S6C90\ 0L0zC0j60U00Bz0`g0OJ08064022000000000000000000ZbzL\ On68Oj08c04X02S00L00C00600000oXecPWTHMH8C400TzZHfL\ 4J6Qzz9ZbUWnPQgLM`GHUBCO66G008000rzzcukPbU8GB`b0z0\ tW0QlzyctnWicMXTCLH064sEk } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

1 0

Fractals without iteration or feedback?
by Jason Hine 16 Aug '13

16 Aug '13

Hi all, A friend asked me recently whether there are any fractals (natural or mathematical) which are not constructed by iteration or feedback. I couldn't think of one... any thoughts? I'll ask this question on the philofractal forum if need be. Thanks, Jason

2 1

Is Fractint being "moved to a better programming environment"?
by Jason Hine 15 Aug '13

15 Aug '13

Hello all, I was delighting in my discovery of the online searchable Fractint doc (available for years now, probably...) when I (re)encountered a statement on this page: http://www.nahee.com/spanky/www/fractint/drawing_method.html ... in the SOI section, stating the potential for Fractint to be "moved to a better programming environment". I'm curious: Is there a group working to do this? I searched github for fractint but the only hit appears to be a side-effort. I ask both because I'd love to see SOI enabled for zooms deeper than double long precision, and because I'd like to participate in the effort to move Fractint to a better programming environment. Cheers, Jason

1 0

FOTD 13-08-13 (Smickey Algebro [A-8,M-7])
by Jim Muth 14 Aug '13

14 Aug '13

FOTD -- August 13, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: With an artistic rating of an 8 and a math rating of a 7, today's image is quite an improvement over yesterday's. The name "Sublimity For All" might be an exaggeration, but it is what came to mind when I shut down my thinking processes. The actual scene lies in the wedge-shaped East Valley of the large minibrot on the fractalized main stem of the (-Z)^(2.003)+C Mandeloid. This is the exact area where the strange rectangle lies in the Julia sets of the (+Z)^(2.003)+(C) Mandeloid. The image has no rectangles in it, but it certainly does have lots of fractal goodies. As an additional bonus, the image calculates in 1-2/3 minutes, not the fastest image of all time, but still fast enough to take the drudgery from the calculation. Total calculation relief is available at the following web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> where the finished image is or soon will be posted. The day here at Fractal Central began with rain, but the rain ended by 9am and the clouds broke by noon, leading to a mostly sunny afternoon with a temperature of 84F 29C. The remaining fractal cat Nicholas, (Nico for short), had a lazy day sleeping on the shelf behind the TV, a pleasant way for a cat to spend a day, but quite boring for humans who want action. The humans were also annoyed by a balky computer. The next FOTD will be posted ultimately. Until that uncertain time arrives, take care, and on a recent TV show about the quirks of the human brain, the word 'brain' was mentioned over two-hundred times, and the word 'mind', not even once. I suspect that a group of skeptical materialists was behind the show, spreading their belief that we are nothing more than the activity of the material of our brains. (The idea is scientific enough, but I would like to see a rational, step-by-step demonstration of the transition from activity in the material world of neurons to ideas in the immaterial world of conscious thought.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Sublimity_For_All { ; time=0:01:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotMiN passes=1 center-mag=-1.746408269455024/+0.00000209957438854\ /2.437446e+011/1/162.5/0 params=2.003/0/0/0/0/0 float=y maxiter=1500 inside=0 logmap=239 periodicity=6 mathtolerance=0.05/1 colors=000BLP9MM8NKCOMGPOJQPNSRRUTUXUYZXaa`dcehfil\ hoomqsrzwvzzzzyvzxrzwmrwhfvfeudetbdt_dsYcrWcqUbqRb\ pPaoNaoLalIciGdfEecCf`AgY8hV6iS4jP2kN0lO5mPAmQFnQJ\ nROnSToTYoTaoVzxXwgZrc0pM2OG33BB2HJ2NQ1TY1Ze0dl0jg\ 8acGT_OKWWCLRQBNcEOdHOdKPdNPdfA8QPdWV_`_WfdRkiNnp4\ pnJsgZqlXoqVmvTepMYkGQf9Ia3Gb5Fc7Ec8CdABdBAeD7hC9e\ EAbFC`GDYHFVIFNUDLR`e_beWdfSegOghKihGkiCmj8ok4pk1e\ g1Vd1Ka1AZ1CX6EWBGVFITKKSPMRTNPYPOaRNfTLkVKoXJtYIx\ XMuXPrXSoWVlWZjWagWddVgaVjZVnXUqUUtRUwOUzMfsKrlJrb\ VocUldTjeSgfSdgRbhQ_iQYjPVkOSlOQmNNnMKoMIpLFqKDrKM\ nRUkXbgbjdhraniZj`XgTVdWUgYTi_SkaRmcQoePqgOsiNukMw\ aQvSUvJXu9`u0cu0an0_h0Yb0WW0UQ0TK9PVILeRHpQJqPLrON\ rNPsMQtLStLUuKWvJYvIZwH`xGbxFdyFeyGczHazH_zIYzIWzJ\ UzJSzKQzKOzKPzLPzMPzNQzOQzPQzQQzRRzSRzTRzTUzGgzHez\ IdzJczKbzPYzUSzXVzZXz`Zzb`zdbzfdzhfz_VzRJzQLzQNzPP\ zPQzOSzOUzVRzOVzIZzCbz6fz } frm:MandelbrotMiN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=(-z)^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

1 0

FOTD 12-08-13 (Smickey Algebro [A-7,M-5])
by Jim Muth 13 Aug '13

13 Aug '13

FOTD -- August 12, 2013 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Today's dark moody image is a slight improvement over yesterday's, but still leaves much room for further improvement. The scene lies in the East Valley of the largest minibrot on the west branch of the filament extending from the large period-3 bud on the northeast shore line of the main bay of the (-Z)^(1.5)+C Mandeloid. The name "Smickey Algebro" means whatever the fractalist wishes. To me it is a fun trick to get people to try to find a meaning that does not exist. The calculation time of 2-3/4 minutes is more than the image is really worth. To save effort, I recommend visiting one of the web sites. Freedom from calculation may be found at the following web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A mix of sun and clouds, reasonable humidity and a temperature of 86F 30C made today quite pleasant here at Fractal Central. Nicholas, the fractal cat, spent the afternoon as a lump under a chair cover. The humans spent the day doing human things. The next FOTD is due to be posted in 24 hours. It might make it; it might not. Until whenever, take care, and I wonder where the music went. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Smickey_Algebro { ; time=0:02:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=1 center-mag=+0.5728187623328764/+1.220849119432405/\ 2.601307e+009/1/90/0 params=0/0/0/0/0/0/0/0/1.5/0 float=y maxiter=1350 inside=0 logmap=425 periodicity=6 mathtolerance=0.05/1 colors=000YXYWVVTSTQPQONNLKLIIIGFFDCDAAA877555000s\ EXpDVmCUjCTgBRdBQaAPZAOW9MT9LR8KP8JN7HL7GJ6FH5DF5C\ D4BB4A9387375263251130120015ud4qa4n_4jX3gV3cS3`Q2Y\ O2UL2RJ2NG1KE1HC1D90A7064032tfqSLRYC2VB1SA1Q91U81c\ 71K61F50D40A30720510200RpKLeGGVCAL85A4dH5WD4OA3G62\ 831FzOEzNDzMDzLCzKCzJBzIBzIAzHAzG9zF9zE8zD8zC7zC6z\ B6zA5z95z84z74z63z63z52z42z31z21z1PvDOrEOoFNmFNmGM\ mHLmHLmIKmJKmKJmKImLImMHmMHmNGkOGiOFgNFePEcMEaLD_K\ CZJCXIBVHATGASF9QE8OD8MC7LB7JA6H95F85E74C63A538427\ 3152131000L7mJ6XI6VP5mG5SF5QE4OD4MC4LB3JA3H93F82E7\ 2C62A518417315203101WTeSP_OLVKIQGELCAF87A4351kv0fp\ 0bk0Ye0U`0QW0LQ0HL0DG08A045iM9fK8dJ8bI7`H7ZG6WF6UE\ 6SD5QC5OB4LA4J93H83F73D62A528416314202100Kz01W01z0\ 1S01Q01P01N01L01J01H00G00E00C00A008007005003001nnC\ zkBzhAze9zb9z_8zX7zU7zR6zO5zU4zU4zU3zU2zK2zK1zU0zt\ uzqrznozlmzijzggzdezabz__ } frm:SliceJulibrot5 {; 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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FOTD 11-08-13 (Abnabiab [A-5,M-5])
by Jim Muth 13 Aug '13

13 Aug '13

FOTD -- August 11, 2013 (Rating A-5,M-5) Fractal visionaries and enthusiasts: Today's image is a diversion, a harmless interlude between greater things. At least I hope so. The parent fractal is an open circle with a triangular mass inside. Today's image lies near the terminus of a filament extending from a bud on the southwest edge of this mass. The image is a not-particularly-attractive mix of flat disks, which I have tried to bring to life with the 'tdis' outside option . . . with only mild success. The name "Abnabiab" sounds important but means absolutely nothing. It simply popped into my head as I pondered a possible name. My disappointment with the image is made clear by the art and math ratings of a below-FOTD-average 5. The day is almost saved however by the very fast calculation time of 45 seconds. If one is to be disappointed, it is best to have put as little time as possible into creating the failure. And the web sites are always there as an alternate way of viewing the image. The finished image is available in various guises on the following FOTD web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Today brought a mix of clouds and sun to Fractal Central, with a temperature of 79F 26C. A little more sun would have produced a perfect day. The fractal cat passed the afternoon as a lump under a cover on an overstuffed chair. The humans made it through the day with no notable problems. The next FOTD will be posted in an appropriate length of time. Until whenever this might be, take care, and when a culture loses its wisdom, it is no longer wise enough to realize what it has lost. (And technology can substitute for only a limited time.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Abnabiab { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident center-mag=-0.1269907412213486/-1.050448835516018/\ 5.267368e+012 params=1/-33/-1/-3/0/0/0/0 float=y maxiter=1200 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000VI`UOXTUSS_OReKUbJX`IUXHRUHPRHMNGKKGHHGF\ EGTSNfeUfOPz7Kr6If6GV5FSADOKBKUAGU8D37H6BL8FOAJSCN\ VER_FTcGVgHXlIZpJ`tJb45`5DU6LO7TI8`C9h6Ap0Hg6O_CUS\ I`cOgcUmcZicYemXamWdmUfzThzSjzRmzQozPqzOszN`z_IzkF\ zeCz`AzW7zR4zM2zH7zKCzMHzPLzRQzUVzW_zZcz`_zQczSfzU\ izWlzYoz_rzadzSRzIDz8Cz9Cz9Cz9Bz9Bz9Bz9GzHKzOPzVTz\ aYzhazoZz`WzMTz8RzCPzFOzJMzMLzQJzTIzWczIXzcQzxUzoX\ zg_z_czRfzJizBbzFWzIPzLIzOBzR4zUQzjNzdKzZHzTEzNBzI\ Mz`GzaBzb6zbGzdPzfYzgfziozkxzlvzhuzdsz`rEXqDToCPnB\ LmBHnEHoHHpLHpOHqRHrVGsYGs`GtdGugGvjGvmGrnOnnWjncf\ nkbnsZnzYkuYiqXfmXdiWbeW_aVYYVVUUTQURMTOITMESJASH6\ SF2TE4UE5VE6WE7XE9YEAZEB_EC`EEaEFbEGbEHcDKdCMeBPeA\ RfATg9Wh8Yh7`i6bj6dk5gk4il3lm2nm2pj4qg5qd6ra7rZ8sW\ 9sTAtQBtNCuKDuHEvEFvBGw8Hw5Ix2JxobTehPWnMhbZtRklTW\ eUHZV2ZS3ZQ4ZO5ZL6ZJ6ZH7ZE8ZC9ZAAZ8A_9B_AB_BB_CC_D\ C_EC_FD_GD_GDWLGTQJQULWCd } 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 09-08-13 (Cubic Anti-Minibrot [A-5,M-6])
by Jim Muth 09 Aug '13

09 Aug '13

FOTD -- August 09, 2013 (Rating A-5,M-6) Fractal visionaries and enthusiasts: As the name of today's image, "Cubic Anti-Minibrot", implies, the image is an example of cubic anti-trifurcation. Unlike anti- bifurcation, anti-trifurcation repeatedly cuts the number of elements by 2/3 as the peak of the central hill is approached. This is not very clear in the image, but it is there nonetheless. The scene of the action lies in the East Valley of the large minibrot on the western filament extending from the northern bud of the parent cubic Mandeloid. With the art rating down to a 5 and the math rating at a 6, I suspect that the 'anti' theme is growing boring and it might be time to move on to new mathematical wonders. The calculation time of a fireball fast 30 seconds will leave little chance for too much expectation to build, making the risk of disappointment slim to none. And the web sites are always ready to eliminate the annoying chore of calculation. Check the finished images at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Heavy clouds hung around most all day here at Fractal central, but the rainfall was minimum. The temperature of 84F 29C felt a bit muggy due to the high humidity. The fractal cat, who has reached the exalted status of senior cat, slept through most of the afternoon, while the non-exalted humans had to work their way through the day. The next FOTD will be posted in the proper time. Until whenever, take care, and we all might be conscious robots some day, or even better, we might already be robots. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= CubicAnti-Minibrot { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident center-mag=-0.2590819002336924/+1.254100298263262/\ 3.963381e+011/1/-25/0 params=1/3/1e-016/-3/0/0/0/0 float=y maxiter=1500 inside=0 periodicity=6 mathtolerance=0.05/1 colors=0006lnj2Oh4Mg6Kf8IeAGcCEbECaGA`H8aI7aJ6aJ5a\ K4aL3aL3UIIMGWEDj6BxKHlYNajSRmTTpUVrVWuWYxX_zY`tUM\ pXHm_Dia9fd5cf1do6zzcquCntEksGkqIjpKkoMknOijKhfGfb\ Ce_9_VBUQCPLDJGFGFGEELFJQLQZRZgXdpagyYmp00900E00H0\ 0K00J00K00L00M00N00O00P00Q00R00S00T00U00V00W00X00Y\ 00Z00_00`00a00a00`00`00`00`05_0A_0FL5KQAOUFSZKVcPX\ cUZbZ_b`abbbbdcceccfccgcchddiddjddkddldemeeneeoeep\ efpffqgfqhfrigrjgskgslgtmhunhvohwphxqiyrizsiztizuj\ zvjzwjzxjzykzzkzzkzzkzzlzzlzzlzzlzzmzzmzzmzzmzznzz\ nzznzznzzozzozzozzozzpzzpzzpzzpzyqzyqzxqzxqzwrywrx\ vrwvrvuouumttkstirsgqseprcoranqZmqXlrVlrTlrRkrPkrN\ jsLjsJisGisEhsChtAgt8gt6ft4ft2ft0gs1gr2gq3gp4go5go\ 5gn6gm7gl8gk9gk9gjAgiBghCggDgfEhfEheFhdGhcHhbIhbIh\ aJh`Kh_LhZMhYNhYNhXOhWPhVQhURhURiTSiSTiRUiQViPWiPW\ iOXiNYiMZiL_iL_iK`iJaiIbiHciGdjGdLLOJLNHKMFJLDJKBI\ J9HI7IH8HI8HJ9HK9HLAHMAGN } 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 08-08-13 (Almost the Best [A-8,M-8])
by Jim Muth 08 Aug '13

08 Aug '13

FOTD -- August 08, 2013 (Rating A-8,M-8) Fractal visionaries and enthusiasts: Today's image shows the center of what I consider the best anti-minibrot yet. The location of the action is in a seahorse tail on the east edge of the north branch of Seahorse Valley of the parent Mandelbrot set. An everyday Mandelbrot minibrot would normally lie in this area, but it has been obliterated by the tiny bit of Z^(-4) stuff infesting the entire parent fractal. The image clearly shows the center of the hill of anti- bifurcation, the peak of which is actually a seamount lying quite a distance (467 iterations) undersea. A quick count will show the anti-bifurcation, which increases from the inside out. The name "Almost the Best" shows that I consider the image to show continued improvement, while always leaving room for further improvement. The art and math ratings concur with this opinion. The calculation time of 10-1/2 minutes is slow, I admit it. But relief is at hand on any of the FOTD web sites. To view the image without the task of calculating it, check one of the following web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Heavy clouds again blocked the sun today here at Fractal Central, while the temperature of 81F 27C kept things reasonably comfortable. The fractal cat forgot the lack of sun as soon as I produced the laser pointer and gave him a good chase that soon had him panting in exhaustion. The fractal people, who were not panting in exhaustion, had one more typically busy day. The next FOTD will be posted when humanity achieves immortality, or possibly a little sooner. Until this happens, take care, and I hear that some people expect that by the year 2045 we will be able to download our conscious self-aware unique selves, complete with our varied emotions, into robot-like machines that will endure indefinitely, granting virtual immortality. This appears well enough, but I wonder exactly what information we will download into the robot machines. I also wonder if immortality will be for everyone, rich and poor alike, or only for those wealthy enough to pay for the process, which obviously will be hugely expensive. If immortality will be only for the wealthy, how will the impoverished feel? Will the common people simply sit idly by and watch the wealthy allow them and their loved ones to die, while the wealthy reserve immortality only for those they deem worthy (that is with enough money) to live forever? Or will there be a revolution against the wealthy that would put an end once and for all to privileged-class thoughts of immortality? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Almost_the_Best { ; time=0:08:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.7444863811241328/+0.1622564474808734\ /1.895244e+010 params=1/2/1e-025/-4/0/0/0/0 float=y maxiter=1500 inside=255 logmap=-470 periodicity=6 mathtolerance=0.05/1 colors=000SkkSjgSjdUi`miYghUbhR_gNWgKSfGSfDSe9Se6R\ c8Qa9P_AOYBNWCNUDMSELQFKOGJMHIKIFKF9LD6KB0K93LD6MJ\ 9OKBPNEQRHSUKTYMU`PWdSXgUYjWVhYTg_Re`PdbNcdLafJ`gH\ _hF`iEajDbkCclBdmAen8eo7fp6gq5hr4is3jt2jm1ef1`_1WT\ 1RM1MF1H81DC7BFD9JJ8MP6PU5QQBQNHRJNRGTSCZS9dS6iZ6U\ e6Fl60jH5hR9gaEekIduMdqPdnSdkVdgYdd_dabdYedVhdSjgT\ fjUbmVZoVWlQjiLyhMxhMxgNxgNxgOxfOxfPxfPxeQweQwdRwd\ RwdSwcSwcTwcTwdVveWufYugZth`siasjcrjdrkfqlgpmipnjo\ olnpmnqomqpmplkphipdgo`foXdoTboP`nL_nHYnDWn9VmATlB\ SkCRkDQjEPiFOiGNhGMgHKgIJfJIeKHeLGdMFcNEcNDfRGhUIk\ XLm_NobQreSthVvkXlPUc2S`6VY9XVCZTG`QJcNMeKQgITiFWl\ C_n9bp7er8gq9ipAjoBloCnnDomEqlFslGtkHvjIwjGviFvhEv\ gDvfCveBueAud9uc8ub7ua6uaAsdErfHpiLokPmnSlp6mD8jBA\ gACd9Db8F_7HX5IV4KS3MP2NN1MO4LO6LO8KPBKPDJPFIPHIQK\ HQMHQOGQQFRTFRVERXERZGSaIScKTeMTgOUiQUkSUmUVoWVqYW\ s_Wu`Ww_Zr_amZdhZgcYjZYmU } 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 07-08-13 (Better Yet [A-8,M-8])
by Jim Muth 07 Aug '13

07 Aug '13

FOTD -- August 07, 2013 (Rating A-8,M-8) Fractal visionaries and enthusiasts: Today's image shows what I consider to be the best example yet of an anti-minibrot. It lies in the debris in a tiny minibrot on the north shore of East Valley of the parent Mandelbrot set. The name "Better Yet" implies that even better anti-minibrots may be yet to come. The art and math ratings of 8 indicate that I consider both aspects of the image to be above normal. The calculation time however is a dragging 10 minutes. This delay may be bypassed by viewing the image on one of the web sites. <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Heavy clouds hung on all day here at Fractal Central today, though it remained dry. The temperature of 75F 24C would have seemed better if there had been sun. The fractal cat slept through most of the day, while the fractal humans kept busy doing human things. The next FOTD will be posted in a number of hours. Until that ambiguous length of time passes, take care, and if nothing, not even light, can escape from a black hole, how does the gravity get out to pull everything into the hole? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Better_Yet { ; time=0:10:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.2927628248663804/+0.015094370223889/\ 7.020676e+009/1/-35/0 params=1/2/1e-016/-2/0/0/0/0 float=y maxiter=1600 inside=0 logmap=-300 periodicity=6 mathtolerance=0.05/1 colors=000fSoaPlXLjSIhNFeIBcD8`85Z32XHDWUOWmTTfYW`\ bYVf`OkbIoeCtg6xiAvgDufGtdKscNqaQp`UoZXnY_lWckVfjT\ iiSllYnobpqgrtmtwrvywussumptgltbisXfsRbrL_rGXpIYoK\ YnMYmNZlPZkRZiS_hU_gW_fX`eZ`d``bkeca`cTWdJRdAMd1H_\ 1FV1ER1CM1BH1AD188174165575885C95FA5JB5MC6PD6TE6WF\ 6_G6bH6eI7fK8gM9hOAhQBiSBjUCjWDkYEl_FlaFmcGneHngIo\ iJpkJpl9YR0F56MCBSIGZOLdUOo`Qj_SfZZbY`ZYaVXhQWjMWq\ IVsEUm7ToAUpDVrFVsIWoLWqNXrQXsTYpVYqYZr_Zsa_sb_td_\ te_uf_uh_vi_vj_wl_wm_xn_xp_yq_yr_qmXjhUbcSW_PPVMHQ\ KALH3HF7GEAEDAAAAAA000ArzApzAnzAkzAhzCezEczGczIZzK\ TzMUzOUzQUxSTvUTtWTrXVqWSpWQoVPnVNnVKmUJlUHlTGkTDj\ TBjSAiS8hS7hOKdKWaJXdIYgIYiHZlH_nG_qG`sFavEvzFaxBJ\ xFIvIIuLItPIsSHrVHqYHpaHodHngGmkGlnGkqGjxJqtGipDbl\ AWh8Pd5I`2BX04Z26_48a6Ab8CdAEeCGfEIhGKiIMkKOlMQnOS\ oQUpSVaZVNdV0kR9jVIiYRha_gdhfhrfjqekqdlqdmqcnqbnqb\ oqapqaqq`qq_rq_sqZtqZtkVq } 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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Under-iterated parent fractal of FOTD for Aug 4th, '13 fixed
by Hal Lane 07 Aug '13

07 Aug '13

This zoom into the parent of Jim's FOTD for August 4th, 2013: http://www.emarketingiseasy.com/TESTS/FOTD/2013/F130804W.jpg was under-iterated when I used Jim's FOTD maxiter of 1,000. Here's the same fractal with maxiter=10,000: http://www.emarketingiseasy.com/TESTS/FOTD/2013/F130804V.jpg Method for Comparing the Differences Between Two Images ------------------------------------------------------- Here's a nifty way to compare the difference between two different versions of a fractal or other pair of similar images: Put the two different images into adjacent tabs in your browser. I do this by right clicking each link and choosing "Open link in new tab". If your browser has scaled the images down to fit your browser window, click the upper left corner of each image once -- to keep your browser from resampling (and possibly repositioning) the images. Then quickly alternate between viewing each of the two images in their respective tabs. This lets you see differences in the images quite clearly, by using the eye's sensitivity to motion. Many browsers accept the key combination <ctrl><n> to view their <n>th tab. Using the keyboard allows you to not have to move your gaze away from the images to aim your cursor at each of the two tabs to click on them. I'm able to hold down the <ctrl> key and alternately press the "3" and "4" keys (or wherever the two tab's locations are) to "blink" back and forth between viewing each of the two different images. The differences between the images literally jump out at you. I got this idea from the method used by Clyde Tombaugh to discover Pluto. He blinked between viewing two different photographic plates of the night sky taken on successive nights. Pluto moved as the photos were blinked. The instrument he used to do this is called a "blink microscope." This "blink" method is not limited to fractal image comparison. It can be used to compare of any pair of images with slight differences. For example, one could compare the change in quality of two or more versions of the same image saved with differing amounts of JPEG compression. If you're a member of the [Fractint] email list serve, please let me know whether you're able to "blink" a pair of images from my description above. Thanks, - Hal Lane ######################## # hallane(a)earthlink.net ########################

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FOTD 05-08-13 (Anti-Minibrot [A-8,M-9])
by Jim Muth 06 Aug '13

06 Aug '13

FOTD -- August 05, 1013 (Rating A-8,M-9) Fractal visionaries and enthusiasts: Today's image bears an artistic rating of 8 and a math value of 9. This is because it is the most spectacular anti-minibrot I have yet found, a fact that obviously also inspired its name. The image shows the exact opposite of a minibrot, or what I call an anti-minibrot. Instead of a basin at the center, the image has a hill; while instead of doubling in number as the center is approached, the number of elements is cut in half. The scene lies in left-over debris cluttering a minibrot that lies rather deep in an elephant trunk of East Valley of the parent fractal, which on the surface is an everyday Mandelbrot set, but in its depths is corrupted by quintic energies. Except for a minor tweaking of one register, the extremely busy color palette was created by a random strike of the <enter> key. The calculation time of 1-1/2 minutes is fast enough for most fractalists, but a bit of time may still be saved by checking the web sites. Various renderings of today's image are posted on the following web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Today brought increasing clouds and a temperature of 75F 24C to Fractal Central. The fractal cat noticed the gradually weakening sun; the humans noticed the work. The next FOTD will be posted when I get a round tuit. Until the tuit appears, take care, and the rest of the world knows that the people in the U.S. are a bunch of gun-loving fast-shooting racists. But why then did we racists twice elect a black president by such a sizable margin? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Anti-Minibrot { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=+0.3007751526060126/-0.0201684395807311\ /2.544126e+010/1/47.5/0 params=5/1000000000000.0\ /0/0 float=y maxiter=1500 inside=0 periodicity=6 colors=000`bf_ZgZUhYQiXLjWHkVClU8mT4nW5kY5i_5gb5ed\ 5bf5`i6Zk6Xm6Up6Sr6Qt6Oq8Mn9LlAJiCIfDGdEFaFDZHCXIA\ UJ9RK7PM6MN4JO3HP2GU9GYFGaMGeSGiZGmdGqkGuqGywEqoI9\ 8CihAa`8VU6NM4FF277LMGIIDFFBCC9996664332yHnlDc`AUO\ 6KC3Ay0Js0Hn0Fi0Ed0C_0BV09P07K06F04A03501tUVSFFnXU\ jURfSPcPN_NLWLJTIHPGFLECIBAE98A767443225Yg4Vd4Ta4R\ Z3PX3NU3LR2JO2HM2EJ1CG1AD18B0680450223Sf2MY1GP1BH0\ 58a`KtYVSHFQ3pK2eF1VA1L50AwUcrR`nPYjNVeLSaJPYHMUFK\ PCHLAEH8BC68845422Se`LVRELI7A9ovKkrIhnHejGbgFZcDW_\ CTXBQTAMP8JM7GI6DE59B3672331lqNW_FGI7uSppQllOhhMdd\ K``IYXGUTEQOCMKAIG8FC6B847zzztt0ee0SS0EE0EoKCgHA`E\ 8TB6M84E52728gA7c96_86X75T64P54M53I42E32B2171030MC\ WKATI9QG8NE7KC6HA5E84B638425212D8BB799688566454343\ 22111bjfZfbWbZTZWQVSMRPJNLGJHDFE9BA677333r1Aj08b07\ V05N04F02701Gunjo0mVdDkmBfhAac9XZ7SU6OP5JK3EF29A14\ 5W0CS0AP09M08J07G06C04903 } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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Anti-aliasing uncovers hidden features in Aug 4, '13 FOTD.
by Hal Lane 05 Aug '13

05 Aug '13

In Jim's FOTD for August 4, 2013, many features which are hidden in the chaotic areas of the original image, pop into visibility in the anti-aliased version. Original: http://www.emarketingiseasy.com/TESTS/FOTD/2013/F130804.gif Anti-aliased: http://www.emarketingiseasy.com/TESTS/FOTD/2013/F130804J.jpg Method for comparing the differences between two images: -------------------------------------------------------- Here's a nifty way to compare the difference between the anti-aliased and non-anti-aliased versions of the fractal: Put the two different images into adjacent tabs in your browser. I do this by right clicking each link and choosing "Open link in new tab". If your browser has scaled the images down to fit your browser window, click the upper left corner of each image once Â to keep your browser from resampling (and possibly repositioning) the images. Then quickly alternate between viewing each of the two images in their respective tabs. This lets you see differences in the images quite clearly, by using the eye's sensitivity to motion. Many browsers accept the key combination <ctrl><n> to view their <n>th tab. Using the keyboard allows you to not have to move your gaze away from the images to aim your cursor at each of the two tabs to click on them. I'm able to hold down the <ctrl> key and alternately press the "3" and "4" keys (or wherever the two tab's locations are) to "blink" back and forth between viewing each of the two different images. The differences between the images literally jump out at you. I got this idea from the method used by Clyde Tombaugh to discover Pluto. He blinked between viewing two different photographic plates of the night sky taken on successive nights. Pluto moved as the photos were blinked. The instrument he used to do this is called a "blink microscope." This "blink" method is not limited to fractal image comparison. It can be used to compare of any pair of images with slight differences. For example, one could compare the change in quality of two or more versions of the same image saved with differing amounts of JPEG compression. If you're a member of the [Fractint] email list serve, please let me know whether you're able to "blink" a pair of images from my description above. Thanks, - Hal Lane ######################## # hallane(a)earthlink.net ########################

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FOTD 04-08-13 (No Minibrots Here [A-7,M-8])
by Jim Muth 04 Aug '13

04 Aug '13

FOTD -- August 04, 2013 (Rating A-7,M-8) Fractal visionaries and enthusiasts: Today's scene shows what I call a 'hill' of anti-bifurcation situated inside the second bud of the north radical of the large minibrot on the main stem of the tiny parent M-set. The generating expression adds an infinitesimal amount of Z^(-2.2) to 100 parts of Z^2, producing a tiny Mandelbrot set with left-over debris at the center of the buds. The fractional part of the exponent has generated a discontinuity in the northeast part of the image. As the name implies, there are "No Minibrots Here". At least, I have not yet found any in the area, though similar 'hills' abound. The artistic rating of a 7 indicates average worth, while the math rating of an 8 indicates exceptional mathematical value. In fact, the 'hill' is one of the finest I have yet stumbled upon. The calculation time of 1-1/2 minutes is fast enough to keep impatience at bay. And the finished image is always available on the FOTD web sites. The finished image is or soon will be posted on the following web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Near perfect midsummer weather prevailed here at Fractal Central today, with photoshop blue skies, cotton-candy clouds and a temperature of 77F 25C. The fractal cat enjoyed the conditions while sleeping in the laundry basket. The fractal humans enjoyed the fractal cat enjoying the conditions while sleeping in the laundry basket. The next FOTD will be posted when I find it and write about it. Until that glorious moment arrives, take care, and show the world that your pet conspiracy theory is true. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= No_Minibrots_Here { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.01757933078094727/+0.000158504568805\ 81/1804502/1/75/0 params=100/2/1e-016/-2.2/0/0/0/0 float=y maxiter=1000 inside=0 periodicity=6 mathtolerance=0.05/1 colors=000AmNDPDf97c86a76Z66X55U45S45P35N24K14I04Y\ GsXFpWEmVDjUChzzzzzzhcz09YP8cO7fU6zYIzL5KK4HJ3EI2C\ H19G06GzaGtYGnVGhSGcPGYMGSJGMGGHDGBAG57v86k65`45Q2\ 4wlrshnpejmagjZcgV_dSXaOTYLPVHMSEIPAEM7BF37amzaWgH\ LV9AH0Fz1Em2Dc3CW4BU5AS69P78N87L96JA5HB4EC3CD2AE18\ F06TP2SN3RL3QJ3PH3OG3NE3MC3LA4K84J74I54H34G14o7Gk6\ Eg5Dd4C`4BY3AU28Q27N16J05BeMzXhpQ_gJSYDKP6CQu7Pr6P\ o6Ol6Oi6Ng6Nd6Ma6MZ5LX5LU5KR5KO5JM5JJ5IG4ID4HB4H84\ G54G24fyKdvJcsIbqIanH65G63H61H74I86J98K9ALACMBENCG\ OCIPDLQENRFPSFRTGTUHVVIXWIZWPROVJGaB8g31Mdf61qL`bL\ Y_KUXKRUJNQJKNIHKIDHHADH6AG37C5`D4YD4WD4UD3SE3QE3O\ E2ME2KF2IF1GF1EF1CG0AG08G06Y6hX5eW5cV5aU4ZT4XS4VR3\ TQ3QP3OO2MN2JM2HL1FK1DJ1AI08H06S7bR6`Q6ZQ5XP5WP5UO\ 4SN4QN4PM3NM3LL3JK2IK2GJ2EJ1CI1BH19H07G05WxIUsHToG\ SkFRgEQcDP_COWBNSAMO9LK8KG7JC6I85H446jP8`KASGCICE9\ 8rcimZchUZcPUZKPUFJPAEK59 } 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 02-08-13 (Reasonable Result [A-7,M-7])
by Jim Muth 03 Aug '13

03 Aug '13

FOTD -- August 02, 2013 (Rating A-7,M-7) Fractal visionaries and enthusiasts: In today's image we add only 0.000000000000000000000000000001 part of Z^(-5) to 100 parts of Z^2. The resulting tiny M-set still has a few remnants of the negative exponent lurking in the depths of its buds. Today's scene lies in a bit of this leftover debris in the center of the main bud of the large minibrot on the main spike of the tiny parent M-set. I rated both the art and math interest at a 7, making the image notably average. I leave it to the individual fractalist to decide whether the name "Reasonable Result" accurately describes the image. There is nothing super spectacular about the image, but it renders in a mere 30 seconds, making the calculation a breeze. The fickle winds can be avoided by checking the image on one of the web sites. The image is or soon will be posted on the following web sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began pleasant enough here at Fractal Central, with blue skies and white cottonball clouds, but heavier clouds moved in during the afternoon and the humidity increased, making the temperature of 82F 28C feel a bit muggy. The fractal cat, now over 10 years old, crawled under a slip cover and spent the afternoon appearing as little more than a breathing lump, while the fractal humans made it through another day with nothing going wrong. The next FOTD will be posted on a day in the near future. At this time the best bet is August 04. Until whenever, take care, and even when a person knows something, there is no guarantee of its truth. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Reasonable_Result { ; time=0:00:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.01773008927479706/0/8.195031e+012 params=100/2/1e-030/-5/0/0/0/0 float=y maxiter=1000 inside=0 logmap=40 symmetry=xaxis periodicity=6 mathtolerance=0.05/1 colors=00000K00L00M00N00O00P00Q00S00U00W00Y00_40a9\ 4cE9cFEaGG`HK`HPfHUiHZoHctEhwEmzCrzCvzKzzUzzczzmzz\ zzwzzwzzwzwwzrwzktrftict`YtTTtQKzMQtKToHWiEYfC``9c\ W6fT4iM1oH0rE0t90w40z10z00z00z00z00z00z00z00z00z01\ z04w06t09t0Cr0Er0Ho0Ew0Ko0Mi0Tc0WY0YT4cM9fHCiCHo6M\ r1Qw0Wz0`z0cz0iz0oz0zz0rz0ct1MiH9Y`0Qr0Ez0Cz06z04z\ 01z00z00z00w00t00o00i00c00Y00T00M00Q00K00H00E00C04\ 90E60Q40Y06i0Er0Mz0Wz0cz0kz0tz0zz0wz0rz0oz0ir0ff0`\ Y1Ym6Tm9QmCKmEHmHCmK9mM4mY4mQ1mK0mE0m90m40c00t00z0\ 0z00z00z00z00z00z06z6HzEQzMYmCQmEWmKcm0zm0zm1zm4zm\ 0zm0im0Km00z01z01z01z04z04z04z04z06z06z06z06z09z09\ z09z09z04z01z00z00z00z00z00z00z00f00o00w00z00z00z0\ 0z00z40t90iH0`M0TW0H`09i01o09i0Hf0Mc0WY0`W4iTEoQQw\ KczHozEzz9zz6zz4zz1zz9zzEzzKzzQztWzk`zcfzTkzKrzCww\ 4zt0zo0zi0zf0zrHtz`fzkfztWzzKzz9zz0zz0wz0oz0iz0kz0\ kz0oz0oz6ozErzMrzWtzctzkt } 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 01-08-13 (Planetary Nebula [A-7,M-7])
by Jim Muth 01 Aug '13

01 Aug '13

FOTD -- August 01, 2013 (Rating A-7,M-7) Fractal visionaries and enthusiasts: In today's image we *subtract* 0.0000000000000001 part of Z^(-2) from 100 parts of Z^2. This combination creates a tiny Mandelbrot set 1/100 of the normal size, which, when blown up, appears on the surface to be perfectly normal, but does strange things in its deepest depths. And at a magnitude of over 10^15, you can't go much deeper, at least with DOS Fractint. Today's scene lies in the East Valley area of the large minibrot on the west branch of the filament extending from the period-3 bud on the north side of the main bay of the tiny parent M-set. Traces of East Valley stuff abound in the scene, but the overall donut-like pattern is quite unexpected. The four brilliant red areas are fine examples of what I call 'peaks of anti-bifurcation', where the iteration count grows smaller as the center is approached, while the number of elements is cut in half instead of doubling. I named the image "Planetary Nebula" when I was reminded of the gaseous shells puffed off by dying stars. The art and math ratings are both a 7, indicating near average interest. The calculation time of 2-3/4 minutes can be avoided by checking one (or all) of the FOTD web sites. FOTD images are available on the following web sites. <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Lots of clouds and occasional periods of rain prevailed here at Fractal Central today. The fractal cat enjoyed the near perfect temperature of 79F 26C. The humans, not being quite as fractal as the cat, spent the day doing what needed to be done. The next FOTD will be posted soon. Until we find out now much time 'soon' implies, take care, and since all the world's problems are caused by someone else, no one needs to do anything about the problems. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Planetary_Nebula { ; time=0:02:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.00153754810877916/+0.010303790076819\ 72/1.344536e+015/1/-70/0 params=100/2/-1e-016/-2/0\ /0/0/0 float=y maxiter=1500 inside=0 logmap=190 periodicity=6 mathtolerance=0.05/1 colors=000z0Lx0Lm0Mc0MU1OK230000000000000000010120\ 2303404505606707808919A2AB3BC4CD6DE8EGAFICGKCILBKM\ BNLAQK9UJ9ZI8cH8hGDjHIlINnISoJXpJaqKksXku`mwdrzhzz\ lzzptzdovTmrImmHmhGhcFcZEZUDUPDQKIMKNILSFOWCU`F_eH\ ejJknGlqElsClvAlx8lzDktIjoNiiShdXgZafUfeOjdJdbL_`M\ U_NPYOJWQEVR8TS3STAYRGcPMhOQjUTl_WmdZoj_qnapobopdn\ qemqflrhksijttemlnxjitieqh`ngXkkRihShfThdThbUh`UhZ\ VhtbhXVhANhBSgBXgBagBfgBkgBpgBug5uhIlYVdOfXENdJ4kO\ l5EKoVRePYWJdMDjC7nRHreRdZVSTZEMb1GeoeneiiWmdNp_Vn\ UblPjjKrhFpkJVZWoEgdQaVaWAqSGoRLmQQlPVjO_iOddXh`dl\ XlrNvqQupTtoWsoZsnarmdqlbsmgqmkojkymonosdtyPqwVou`\ ltfjrlgprdwxeowehwfawfVwgOwgHwgAwhGqiLkjQekV`l`Vme\ PnjJrnHnoEkoCho9dp7ap4Wu1Zp2ak3df4fa5iX6lS7oN8xT0t\ O5qJ9mFEjAIg6Me9SdCXbFbaIgkQm`LlRGkGBj67jLHdPGh_Q_\ i_RqpAshJuaRwU_yNgfrRpZczGojLdWQVHVLN`OTeQZjSUYaPM\ kLAuPWjVueTq`SmXQjSPfO1zA } 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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Three Details
by Brian Prentice 01 Aug '13

01 Aug '13

Here are three monochrome details of the fractal discussed here recently: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_26a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_26b.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_26c.png Brian Prentice

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FOTD 30-07-13 (More East Confusion [A-7,M-8])
by Jim Muth 31 Jul '13

31 Jul '13

FOTD -- July 30, 2013 (Rating A-7,M-8) Fractal visionaries and enthusiasts: I hope the fears that I am growing bored with fractals have been laid to rest. After sixteen years, I am still obsessed with the things. I doubt that I will ever be able to give them up entirely, but on occasion I do have other things to do that might hold the fractals at bay for a few days. I stumbled upon today's scene as I backed out of yesterday's image. Today's image is an even better example of the strange things that happen when apparently absurd expressions are iterated. The scene lies in the East Valley of its parent. Except around the edges, very little typical East Valley stuff is visible in the scene however. What we see instead is stuff of an entirely new nature, mixed with hills of anti-bifurcation, which I will soon investigate. The name "More East Confusion" indicates that the image is even more confusing than yesterday's. The ratings remain the same however. The calculation time of one minute will pass fast enough. And the web sites are always there to make fractal life even easier. The finished image is posted on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> with hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images from long ago are online at: <http://www.Nahee.com/FOTD/> And more images are available at: <http://user.xmission.com/~legalize/fractals/fotd/about.html> Another perfect day was appreciated by all here at Fractal Central today. It was a repeat of yesterday, with even more cottonpuff clouds. The fractal cat actually slipped into cool weather mode for an hour or two. The humans, always cool though not quite young, had a better day than yesterday. The next FOTD will be posted when a distance of 24 light-hours has passed on the time axis. Until whenever or wherever that might be, take care, and regardless of whatever is wrong, it's the other guy's fault. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= More_EastConfusion { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident center-mag=-0.01739738263630221/-0.000000000002400\ 88/1.680671e+009 params=100/2/1e-016/-2/0/0/0/0 float=y maxiter=1500 inside=0 logmap=90 periodicity=6 mathtolerance=0.05/1 colors=00068P79Q8AR9BSACTBDUCEWDGYEI_GKaIMdKOgMQjO\ SlQTnSPsKOpAKg0GSAPJHTAPY1UeAZkIcqVhuemzqmzfhrTckS\ UaMIQLGLKLPF_PAfU6mXJqaQzmXzqczsjzzqzzxzzpzzhvwaov\ RiuHcu7X63P64H65A6697E87M77U68`58h48p38wzzRmuOmzMm\ zKmzHmzFmzDAmJEiOHeULbZPZdSViWRoZOtTUsNczHczBjz5pz\ 0uz7szEqzLozRnzXlhajhfhgkfgpdfubfgagUahG`i3`i3Ro3H\ uAIsGIqMJo`yhclPe_6ZdDTiJNnQHsWBwaAonAgzGauMWpSQkY\ KfcEai8Xn3SiCQdLP_UOVbNQkMMsLHe_DSmIWiN_fSbcXf_ajX\ fmUenQenMenJenFenBen8doEdpKdqQcrWcsactg`mdYgaVaZSV\ WPPTMJQKDNIFLHHKGJIFLHMPJTTL_XNf`PlcRjgTikUgnVfrXd\ vYcyZdyOeyDfy3gq8hjDibIjWMhZOf`PdcRbeS`hTZjVYmWWmX\ TmVPmTUm6amEbmMcmTdm`fmggmfhmfimfkmelmenmepmeqmhrm\ ksmntmqumuzmhzmWzmVzmUzmTzmSzmRzzQzzPzzOzzQzzSzzTz\ zVzzWzzZzzczzhzzmzzrzzvzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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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Mike Frazier was kind enough to use his Fracton program to...
by Hal Lane 30 Jul '13

30 Jul '13

Mike Frazier was kind enough to use his Fracton program to calculate a version of Jim's FOTD for July 22, 2013 using arbitrary precision and 5x5 anti-aliasing: http://www.emarketingiseasy.com/TESTS/FOTD/2013/F130722M.jpg My 4x4 anti-aliased version that still had precision loss in Fractint is here: http://www.emarketingiseasy.com/TESTS/FOTD/2013/F130722J.jpg Thanks, Mike! - Hal Lane ######################## # hallane(a)earthlink.net ########################

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FOTD 29-07-13 (Eastern Confusion [A-7,M-8])
by Jim Muth 30 Jul '13

30 Jul '13

FOTD -- July 29, 2013 (Rating A-7,M-8) Fractal visionaries and enthusiasts: The iterated expression behind today's image is one of the most unusual of all time. To create the parent fractal I added an infinitesimal 0.0000000000000001 part of Z^(-2) to a whopping 100 parts of Z^2. This unlikely combination produces a parent Mandelbrot set so tiny that it appears as little more than a dot at the center of the screen. The magnitude of today's image is over 10^14, and still has a little way to go before breakdown appears. This does not mean I have found a way to increase the limit of definition. What has happened is that the 100 parts of Z^2 have shifted the decimal point two places to the left, and we are simply getting greater magnification of a smaller parent fractal. The tiny parent M-set appears pretty much normal until we venture into its more extreme depths, where strange things, including anti-bifurcation begin to appear. Today's image lies in the East Valley area of the parent, though only a few signs of East Valley elements are in the scene. The name "Eastern Confusion" refers to the unexpected details in the image. The art rating of 7 indicates that the image is worth a look. The math rating of an 8 indicates that in this image we might be on the verge of something quite new. Only time and investigation will tell. The calculation time of 1-3/4 minutes will pass in a flash. The flash may be avoided by viewing the image on one of the web sites. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> A hi-def version is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> 16 years of back images are posted at: <http://www.Nahee.com/FOTD/> And in the next FOTD, a new FOTD web site may be added. The weather was near perfect here at Fractal Central today, with photoshop blue skies, puffy cottonball clouds, low humidity and a temperature of 79F 26C. Both the fractal cat and humans had a good day, though FL was a bit cranky around the edges at times. The next FOTD will be posted in the proper time. Until whenever that might be, take care, and may the aliens from outer space show themselves. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Eastern_Confusion { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.01739734355439775/+0.000000024567652\ 58/1.103568e+014/1/-172.5/0 params=100/2/1e-016/-2\ /0/0/0/0 float=y maxiter=1500 inside=0 logmap=138 periodicity=6 mathtolerance=0.05/1 colors=00068P79Q8AR9BSACTBDUCEWDGYEI_GKaIMdKOgMQjO\ SlQTnSPsKOpAKg0GSAPJHTAPY1UeAZkIcqVhuemzqmzfhrTckS\ UaMIQLGLKLPF_PAfU6mXJqaQzmXzqczsjzzqzzxzzpzzhvwaov\ RiuHcu7X63P64H65A6697E87M77U68`58h48p38wTvRPuOLtMH\ sKDrH9qF6qDAmJEiOHeULbZPZdSViWRoZOtTUsN_sHdsBjr5pr\ 0ur7soEqmLokRniXlhajhfhgkfgpdfubfgagUahG`i3`i3Ro3H\ uAIsGIqMJo`yhclPe_6ZdDTiJNnQHsWBwaAonAgzGauMWpSQkY\ KfcEai8Xn3SiCQdLP_UOVbNQkMMsLHe_DSmIWiN_fSbcXf_ajX\ fmUenQenMenJenFenBen8doEdpKdqQcrWcsactg`mdYgaVaZSV\ WPPTMJQKDNIFLHHKGJIFLHMPJTTL_XNf`PlcRjgTikUgnVfrXd\ vYcyZdyOeyDfy3gq8hjDibIjWMhZOf`PdcRbeS`hTZjVXmWVmX\ RmVNmTFm6ImELmMNmTQm`SmgOmfKmfGmfzmezmezmezmezmhzm\ kzmnzmqzmuzmhzmWzmVzmUzmTzmSzmRzmQzmPzmOzmQzmSzmTz\ mVzmWztYzyZzw`zvbzuczzezzfzzhzzizzlzzozzrzzuzzxzzo\ zzgzz_zzTzzMzzLzzLzzLzzLzzTzz`zzhzzozzczzSzzGzzKzz\ OzzSzzWzz_zzczzfzzYzzQzzH } 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 27-07-13 (Total Obscuration [A-5,M-6])
by Jim Muth 29 Jul '13

29 Jul '13

FOTD -- July 27, 2013 (Rating A-5,M-6) Fractal visionaries and enthusiasts: The name of today's image, "Total Obscuration", refers to the parent fractal, not the image itself, which is anything but totally obscured. This parent consists of a group of blobs roughly resembling the shape of the Mandelbrot set that it largely but not quite totally obscures. Today's scene lies at the eastern edge of the largest remaining open area, just north of the X-axis. Perhaps the most incredible thing about the parent fractal is that the infinitesimal 0.000000000000001 part of Z^(-100), when added to 0.5 part of Z^2, could make such a difference. The art rating of 5 and math rating of 6 indicate that very little inspiration or effort were involved in the creation of the image. (I realize that an artist should never belittle his work, but I have never been very big on hubris.) The image will take about 5 minutes to calculate on the average machine. Take it and run the parameter file, or leave it and check one of the web sites. Check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> and the hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Older back images may be seen at: <http://www.Nahee.com/FOTD/> A partly cloudy, rather warm and muggy day with a temperature of 84F 29C was interrupted in the afternoon by a heavy thunder shower that dropped 1-1/4 inches, or 3.2cm of rain in 15 minutes. The fractal cat watched the rain with interest, then took a nap with even more interest. The fractal humans got into a discussion about conspiracy theories, some of which just might be true despite making no sense at all. The next FOTD will be posted when I get a round tuit. Until I find the tuit, take care, and if aliens are flitting around in our skies at will, breaking all kinds of physical laws, why does it seem so irrational to believe in them? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Total_Obscuration { ; time=0:05:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident center-mag=-1.022651114713766/+0.04055793961440786\ /2.253e+011/1/90/0 params=1e-015/-100/0.5/2/0/0/0/0 float=y maxiter=1800 inside=0 logmap=136 periodicity=6 mathtolerance=0.05/1 colors=000GgjIefJdbKc_LbWMaSN`POZLPYHQXERWASV6TU3W\ T8YSD_RIaQMdPRfOWhN`jMdmLioKnqJssJwrOxrTxrXyrayqfy\ qjzqozqszjptdnnYkiSicMgYFdT9bN3`I7YOAVUES_HPeLMkOJ\ pRLmTNkWPhYRf`TdbVaeX_gZYi`VlbTndQqfOshMvjJxlHzmFj\ XOWHXH1eG6dFAdFEcEIcDNbDRbCVaCZaGXaKVaNTaRRaUPaYOa\ aMadKahIakGaoEarDaiGa`IaZKcYLdXMeWNfVOgUPhTQiRSkQT\ lPUmOVjNWgMUdPSaRQZUOWZMTcKQaINWGPRE_LAjG7tJBrMFqP\ JoRMnUQlXUk_Yja`hddgghejldloceVQZADXGEWLENGeNGfNHg\ NHhNIjNIkNJlNJmNKnNKoNLpNLrNMsNMtNNuNNvNOwLQzNOxON\ vPMtQLsRKqTJoUInVHlWGjXFiZEg_De`CcaBbbA`d9Ze8Yf7Wg\ 6Uf4Wh5Ti5Rj5Pk6Nl6Lm6Jn6Ho7Fp7Dq7Br79q99qA9qB9qD9\ qE9pF9pH9pI9pJ9pL9oM9oN9oP9oQ9oR9nT9nU9nV9nX9nY9mZ\ 9m_9ma9mb9mc9le9lf9lg9li9lj9kk9km9kn9ko9kq9jr9js9j\ u9jv9jw9kz7jz9izBhzDgzFfzHezIdzKdzMczObzQazS`zT_zV\ ZzXYzZYz`XzbWzcVzeUzgTziSzkRzmSzoRznRznRznRznRznRz\ nRznRznRznRznRznRznRznRzn } 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
by Brian Prentice 29 Jul '13

29 Jul '13

Jim, this is my favorite site for viewing your fractal images: http://user.xmission.com/~legalize/fractals/fotd/about.html It generates images automatically from your parameter files posted to this list. Unfortunately the parameters for July 14th and July 27th have not yet been posted. Brian Prentice

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FOTD 26-07-13 (Flowers in the Summer [A-8,M-7])
by Jim Muth 27 Jul '13

27 Jul '13

FOTD -- July 26, 2013 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image takes us into the parent fractal that appears when 0.2 part of Z^3 is subtracted from 0.8 part of Z^2. This parent resembles a Mandelbrot set rotated 180 degrees, with additional elements popping up along both ends of the X-axis. Today's image lies in the East Valley area of a three-lobed minibrot on the negative X-axis of the parent. The name "Flowers in the Summer" came to mind when I glanced out the window at FL's garden, which is near its peak, and then turned back to the image. The artistic value of 8 is mostly due to the coloring, which was achieved with a random strike of the 'enter' key. The math value of only a 7 indicates that nothing really new lies in either the parent or the actual image. The calculation time of under 1-1/2 minutes is just a little on the slow side, but this delay may be avoided by checking the image on one of the web sites. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> A hi-def version is at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Back images are at: <http://www.Nahee.com/FOTD/> Today was probably the finest day of the summer here at Fractal Central, with Photoshop blue skies decorated with cottonpuff clouds, a temperature of 82F 28C and low humidity with gentle breezes. The fractal cat managed to find a spot of afternoon sun, where he passed the afternoon in total comfort. The humans made it through the day without incident. The next FOTD will be posted before too long. Until whenever, take care, and pay no attention to that man on the screen. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= FlowersInTheSummer { ; time=0:01:25.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=-1.865678884094914/-0.00256198152809934\ /6.4199e+008/1/-147.5/0 params=0.8/2/-0.2/3/0/0/0/0 maxiter=1500 inside=0 logmap=166 periodicity=6 colors=000LXULWRJVOITLFRIDNFAJC7E95C6283000xe0lX0a\ O0VK0PG0JC0C80640TICOFAaP_gNUmLNsJHyHBrTFldJfoM_kR\ ThWMe`Fbe8_i6ag5bf3dd2bc1ZX1UU1NQ1HK0AD000DgX6MGDt\ k8aW4JG2bX1WR1QM1JG0DB065SWgILT9AEKCCA66SiuLYfENT7\ BESpSIZI9H9x9kp7eh6_a5UU4OM3IF2CzVWzKUkEFaBCT89J56\ 9233CH29C168034NZ2s_rlVkeRdZMYSIRLDKE9D746ByI9nF7d\ C5V93K61A3CnSAeN8YI6PE4H9284mMGPB8R5BbD2YB1T91O81J\ 61E40930410O22K11G11C11800400WLISIFOFDKDBGA9C76854\ 422aimU_cMRUFIK79AyA`d6OK3CJjeGc_DXUAQO8KI5DC266wa\ UcPKKCA2Vg1KT0AE9e17Z06S04L03E0170lVdOFKAZ98U77Q66\ L55H43D3282141tr`SRI1_Q0SK0LF0EA075Zx1Nc0BK0_LZOEN\ C7Bl6le5e_4_U3UO3OI2IC1C606K6cDMMcGGcBBc55w8gcc3cK\ 1cHFmEDmCBmA9m87m65m43m21mgamaX3US3UN2UJ1cE1c90c4E\ cAAc77m53m22mY1mP1zH0z8kzO4z3zz2zz2zz1zz1zz0zz7zzb\ zzJzzfzz`zzWzzQzzLzzGzzAzz5zz8zz4zz3zz1zzkzz0zz0zz\ 0zz0zz0zz0zz0zzKzzFzzAzz5 } 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 22-07-13 (Tripled Solutions [A-6,M-6])
by Jim Muth 25 Jul '13

25 Jul '13

FOTD -- July 22, 2013 (Rating A-6,M-6) Fractal visionaries and enthusiasts: The FOTD's appear to be fewer in number as well as lesser in quality lately. The reason is that my energy has in the past few years been turning more and more to the politicial and social stupidities of the world, a topic most certainly not appropriate for a fractal forum. Today's fractal lies in a minibrot on the main spike of the large minibrot on the main spike of the parent Mandelbrot set, which is obviously infected in its depths with Z^3 energies. The name "Tripled Solutions" sounds good. It means nothing. The art and math ratings of a 6 promise little. The image delivers possibly a bit more than is promised. The calculation time of 1-3/4 minutes is reasonable. The already-calculated image is available at: <http://www.crosscanpuzzles.com/Archives.html> with hi-def variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and the back images at: <http://www.Nahee.com/FOTD/> Warm, humid and occasionally showery conditions prevailed here at Fractal Central today, making for an unremarkable day. The fractal cat stretched on the floor while the humans tended to the human things. The next FOTD will be posted whenever I feel like it. Until that time arrives, take care, and be willing to talk. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Tripled_Solutions { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=-1.783136623913639/0/1.732154e+013/1\ /-90/0 params=3/1000/0/0 maxiter=2700 inside=0 logmap=156 periodicity=6 mathtolerance=0.05/1 colors=00000R00O00M00J00H10I21J32K42K52L63M73N83N9\ 4OA4PB5QB5QC5RC6SD6TD6TC7RC8QB9PB9OAANABM9CL9CKADN\ ADPADSAEUBEWBEZBF`BFcCFeCGgCGjCGlCGnBIoAJp9Lq8Mq8O\ r7Ps6Qs5St4Tu4Vv3Wv2Yw1Zx1_x2aw2bv2cu3dt3es3fr3grJ\ kiZn`Wo_UoZcpYcpXcpXcqWmqVmrUmrTmrTzszzszztzrtzmtP\ hsQcrRcrScqTZpUZpVZn_Ulcajgihkqfoxesvcotalr_ipZfoX\ cmV`kUYiSVhQSfPPdNMbLJaKG_PMZURXZWWc`UheTmjRroQwtO\ xpMxlKxiIxeGxaExZCxVAxS8xO6xK4xH2xD0xA5tEMYCLXDKVE\ JTEJSFIQGHPGGNHFLIEKIDIJDHKCFKBDLACM9AM89N77O76O98\ MBALDCJFEIHFHJHFKJEMLCOMBQOASQ8US7UV4VT6VR8WQAWOCW\ MEXLGXJIXHKYGMYEOYCQZBSZ9UX9VZ8W`7Wz7Xc6Xz6Xf5Yz5Y\ i4Yz4Zl3Zz3Zo2_z2_r1_z1`z0`v0`zBdzLhmVlzdpiouhntgm\ tflseksdjsdirchrbgrafq`eq_dp_cpZbpYaoX`oW_oVZnVYnU\ XmTWmSVmRUlQTlNSoQTlSTiUUgWUdZUb`V_bVYdVVgWSiWQkXN\ mXLpXIrYGtYDwX8vYBvYDvYFvYHvYJvYLvYNvZPvZRvZTvZVuZ\ YuZ_uZau_cu_eu_gu_iu_ku_m } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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Re: [Fractint] Fractint & VESA - Would someone please confirm (or refute)...
by Timothy Wegner 23 Jul '13

23 Jul '13

David wrote: I think the support or lack of support for VESA video modes is what may > keep Fractint from running at full capacity on some machines even when run > from DOS. But wouldn't you get at least a stock 640x480 mode on almost > anything? > What I recall was that years ago I used additional VESA software like SciTech doctor to fill out VESA support that was was missing in the video board's native support. When experimenting with ways to run Fractint under Windows 7 or 8 recently, I was disappointed that the virtual drivers provided by VirtualBox had such poor VESA support. Just now I checked the VirtualBox Win98 installation I have on my Windows 8 machine, and was surprised that I had installed SciTech Doctor there! But despite that, very few high resolution modes worked properly (not even 640x480x256) , which is probably why I abandoned that setup before I got very far. Why I love DosBox for Fractint tinkering is that all kinds of VESA modes are built in. My Windows has a native resolution of 1920x1200 to match my 24" monitor. VESAINFO reports that 1600x1200x256 is available and it works fine under DOSBox. I think one could even be running the host operating system with lower resolution than 1600x1200 and you could still create 1600x1200 images. The expert, of course, is Tim. Thanks, but this I doubt! I intend to resume experiments with environments for running Fractint. And I also am rescuing an old development environment I have not used in a very long time. Tim BTW I finally corrected my Gmail "fractint" filter, and was chagrined to notice that Jim Muth hadn't posted in a week. I hope all is well with Jim. I will see replies in the mailing list better now.

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