November 2013 - Fractint - mailman.xmission.com

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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