January 2014 - Fractint - mailman.xmission.com

FOTD 10-01-14 (Image With No Name [A-7,M-7])
by Jim Muth 11 Jan '14

11 Jan '14

FOTD -- January 10, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image lies in the northern branch of the Seahorse Valley of an oversized Mandelbrot set corrupted in its depths by Z^9 energies. It lies at a depth where ninth-order elements predomi- nate close to the minibrots, while quadratic elements prevail farther out, and the in-between areas are a confused but interes- ting mix of Z^2 and Z^9 elements, but with no discontinuities. The image abounds with smaller order-9 minibrots, the most obvious of which lie at the upper left and lower right edges of the scene. I checked these minibrots and found them much the same as the large one in today's image, though somewhat more chaotic. The name of the image is paradoxical. I named it "Image With No Name" because I could think of nothing better. But this still identifies the image, so I guess it's up to the wise philoso- phers and logicians to decide if the image actually has a name. The art and math both rate a 7, which is good enough but leaves plenty room for improvement. The calculation time of 4 minutes is slow however, and could give impatience a chance to arise. The web sites can eliminate this threat. The completely 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> Two inches (5cm) of snow fell overnight here at Fractal Central, but ended before daybreak. The rest of the day was cloudy with a temperature of 36F +2C. The fractal cats noticed the fresh cat footprints in the new snow, then settled down for a day of tussling, eating and sleeping. The fractal humans were happy to have made it through another day and week. The next FOTD will be posted in either one or two days, depen- ding on how much of an antiquing expedition happens tomorrow. Until whenever, take care, and I wonder why the existence of global warming has become such a big political debate. The earth certainly is getting warmer. It has been for thousands of years, and there is nothing we can do to stop it by passing meaningless laws. For some strange reason, I suspect that a potential transfer of money is involved. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Image_With_No_Name { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip inside=0 center-mag=-74.83193719158429/+7.494763709824741/\ 7.2e+009/1/-22/0 params=9/100 float=y maxiter=3000 logmap=524 periodicity=6 mathtolerance=0.05/1 colors=333BjUBjUBkVBmWAoYAqYBrXCrWDrUFtUHtUItTKvSN\ vRQvRRxRUxQWxPYzO`zNczMdzLazK_zJYzJYzIYxHXtGXrMZpV\ `mc`jkbizbhzbexbdxbbvbbvaatabtaarabrabqbdqeeofdmgf\ mhfkjhkkjjnkkqklrmntmnvnoznozlnxikzggtcdr``qWZoTWm\ OTjMRhJOgHMeEKcCHbBG`9E_9DV9CT9BQABOBBMBAHB9EA8C97\ EA7GA7HB7KC7MD7OE7QF7TE7VD7YC7`C8cB8eA8cA9`9AX8CT7\ FO5KK5PH6SE6TD6UD7VC7XB7YC8`B8bA8cA8eB9gA9hA9bB9XC\ ASDBNFDKGGGHGFKJCNM9PP8NQ8LS8KT8IT8IU8HV8EKFEMHFPK\ HSNHUQIXUJ_WMcTQgQSjMTmIXrG_vEczDdzCixDXoHSgOM_VJV\ gGRmFRmEQkHRkLSjOSjUUhYUhaUgeUgKVoCYx`F9cFCgHGjHKm\ IOqITrIXHNXILRJKOKKKLIINGFPFERFHUEMWERYFZ_GcbHgeIm\ eqlZggVagTdgQggzzzzkozmhqmcmmYcmTIcPHcOHcNJcMIcLIc\ LIcLIcKJ_LJcKKhLKjKJkKJmKJmKIoKIqLHrLHrK_jKScKOcLK\ bMGeMDjNmmPmkSmmVmqZmtdmxhmzknzqxzxzzzxzxuztzzqzzn\ zzizzfzzczzazzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

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FOTD for 1/9/14
by Brian Prentice 10 Jan '14

10 Jan '14

Here are five monochrome details of Jim's fractal published yesterday: http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_82a.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_82b.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_82c.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_82d.png http://bprentice.webenet.net/Fractal%20Images/Set%2018/BP_18_82e.png they were chosen to illustrate the extraordinary shapes within this fractal. Brian Prentice

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FOTD 08-01-14 (Magical Fifteen [A-8,M-6])
by Jim Muth 09 Jan '14

09 Jan '14

FOTD -- January 08, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image is a scene in the East Valley area of a tiny half-morphed minibrot just beyond the large minibrot on the main spike of its parent fractal, which is a hugely oversized Mandelbrot set corrupted in its depths by Z^15 energies. At the depth of today's scene, the Z^15 energies have completely taken over, though the outer elements still retain much quadratic detail. I named the image "Magical Fifteen" because I have always seen something magical in the way the higher-order energies take over in the depths of apparently perfectly ordinary Mandelbrot sets. In my opinion, the art rates an 8. I did put about an extra half hour into the coloring to justify the rating. And the calculation finishes in only 2-1/3 minutes, making the image quite a bargain. For those shy about calculating fractals, the finished image is posted on the web sites. Check it 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 were the rule today here at Fractal Central. The temperature of 19F -7C was still quite cold, but after the past week, it felt not too bad. The fractal cats spent the afternoon waiting for the sun to appear. When it never did, they decided to have a meal. The humans, who are always occupied with one thing or another, had a busy but un-notable day. The next FOTD will be posted right here in only a few hours. Until then, take care, and why do angels, who are apparently mammals, have feathered wings? One would think they would fly with bat-like wings such as the devil has. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Magical_Fifteen { ; time=0:02:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip passes=1 center-mag=-1796.053377352276/-0.00002501424642828\ /1.77998e+009/1/42.5/0 params=15/1000 float=y maxiter=1600 inside=0 logmap=282 periodicity=6 mathtolerance=0.05/1 colors=00000A00A00A00A00A30A60AA2AE5AK9AQDAWLAaRAg\ VAjXAkWAlU9lQ1kK0jE0hC0gB0fA0f90c80b70_60Y40W30U20\ S10T00R00Q00T10V40X73ZA6`D9cGCeJFgMIiPLkSOmVRnYUo`\ XrieunnxsrvqoromomknkiliglhelgbkfZkgWjhRjiMjjGik7i\ l8jp8im9ikAiiBigCieDicDhaEh`Fh_GhZHhYIjXKhWIfVHdUF\ bTEaSC_RBYQ9WP8UO6VN4TN5SO6RP7QQ8PR9OS9NTAMUBKVCJW\ DIXDHYEGZFF_GE`HejCe`HeRMeHReCVe8Ye4ae0de0ge0ae0Wd\ 0Rc0Lb1Fa2A`2A`3A`3A`3A`3A`39`39`39`39`39W38W38W38\ W38W43W38W38W37W37W37W37W37W37W36W46W46W46W46W45W4\ 5W45W45W45W45W44W44W44W44W44W44W43W43W43W43W43Yq0X\ o0Wm0Vl0Uj0Th0Sg0Re0Rc0Qb0P`0OZ0NY0MW0LU0LT0KR0JP0\ IO0HM0GK0FJ1EH1EF1DE2CC2BA2A93CzzClzCfzB_zBTzBOjBJ\ fAFaAEZADWACTABR9BO9AM99J98H97F8CC8HA8M78R5zeHzgGz\ iGzkGzmGznGzoFzpFzqFzrFzzFzjEizEizEhzEgzEgzEfzDezD\ ezDrzDrzDrzCrzCrzCrzCrzCrzBrzBrzBrzBrzBrzBrzArzArz\ JrzJrzJrzHrzGrzFrzDrrCrrB } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

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FOTD 09-01-14 (Feminine Features [A-7,M-7])
by Jim Muth 09 Jan '14

09 Jan '14

FOTD -- January 09, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image is a scene I found in a distorted Mandelbrot set corrupted all the way through by Z^(1.001) energies. The East Valley area of this parent fractal is shrunken out of sight, while the main spike area is blown up like a balloon. A large bay lies between the extremes, with today's scene located near a kind of knot at the tip of a filament extending from a small bud on the northern shore line of this large main bay. I named the image "Feminine Features" because of the shades of pink. It is a strange name because I usually avoid the lacy, flowery, pink stuff found in shops that specialize in feminine things. (FL has no such aversion, but that's her problem, not mine.) The art rating of a 7 might have been a point or so higher if I had given more attention to the colors and brightened them up a little. The math rating of a 7 shows that I was rather sur- prised at the things Z^(1.001) corruption can do to a Mandelbrot set. The calculation time of 2 minutes is right on the mark for such an image. It's just enough time to leave the room, pour a drink, and get back to the computer. Checking the image on the web sites will save the hike. Relief from fractal thirst may be found 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 a big improvement to Fractal Central, with cloud- less skies, brilliant sunshine, and a temperature of 27F -3C, which was still well under the freezing point, but with light winds felt almost like a day in early spring. The fractal cats welcomed the sun on their window shelf, but couldn't decide who would get the top-cat spot. The fractal people simply made it through another day. Hey, life is no soap opera, so don't expect constant, ever more interesting, storm and stress. The next FOTD will be posted before too long. Until whenever, take care, and I hear that God is infinitely forgiving and merciful -- as long as we are still alive, that is. But when we die, watch out. They say He turns into the most unforgiving, vengeful being we could possibly imagine. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Feminine_Features { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip center-mag=+2.110941340568/+6.205610652844/1568031 params=1.001/11 float=y maxiter=1400 inside=0 logmap=360 periodicity=6 mathtolerance=0.05/1 colors=000zzz0ZS0YV0YX2XZ6XaAWcEWeCPfAIg8Bh75i50j3\ 0k20k90XG0IN03R3IVMWOLSILOCLK5LG0LC0L80L40K60K83JA\ 9JBEIDJIFOIGKG6GE0NC0MI4QIML3LB07D0AF0BH06J02L00N0\ 0P20S50V80YA0_D0bF0eI0gK0_N2TQ6MTAFVD7YH0`L0cP0eS0\ VV0KX0AZ00`00b60XF0RO1LX5G0N20R90XG0LM06R0BW6EZMJf\ XVhggkvxvsXfuDZqASnDSiGTgIMeKHcMBbO6VL5NI5FF48C4DR\ RIelEckAbj6ai2`h0_hT0Z00M00O32Q64S86UB9WEBYHD_JFaI\ JbINcHRdHVeGZfGbgIR_JGSKBFK72F27A0B50G00K00O80IJ3D\ VB8eJ3eJ0eJ0eJ0eJ0eJ0_S1V`EW`EW`EYQeXRdXRcXRcXRbXS\ aXSaXS`XS_XT_XTZXTZXTYXUXXUX0QH0PL2OP4OS5NW7MZ9LbA\ LeD3OG07H0BH0EH0IH0LH0OI0SI0VI0YI0aI0dI0gH0fG0eG0d\ F2cF6bEAaEF`DJ_DNZCSYCWXB_WBcWE`TGbRJePLYNNVLQTJSQ\ HVPFXKDZKBaK9cK7fK5hK3jK1kK8kK6kK5kK4gK8cKBcJEcMHc\ RKcUNc_QcaTc`UcaUcaUcaUcaUcaUmfUmmUmqcmqcmqcmpcmpm\ mpmmpmzxmzxzzxzzxzzxzzxzzxzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

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Medallion of Four
by Mike Frazier 08 Jan '14

08 Jan '14

This fractal has a lot of symmetry yet it also has a lot of different shapes. It has circles, a square, and an octagon. The formula is a variation of the parallel resistor formula and has a z ^ 4 term as its lowest z component. I have noticed previously that the lowest z term seems to set the types of minibrots you see in the fractal and this one follows the same pattern. This fractal has the four way symmetry you expect to see with a z ^ 4 term but it also has a structure with 12 arms which isn't as common. The color palette is one I have used numerous times before because it seems to work with any fractal with no adjustments. Fracton's color palette editor is very tedious to use so I tend to reuse the same palette. I have plans for upgrading the color palette editor but those will likely take a few months to complete (at best). I recently updated Fracton with some improvments to other areas of Fracton's user interface. If anyone is interested, Fracton can be downloaded from the www.fracton.org website. Fracton is FractInt PAR file compatible and free but Mac only. I have quite a few other fractals I am hoping to post in the coming weeks. Most of them are in the same color palette as todays fractal. So now you know why. Here is a link to an image: http://dl.dropboxusercontent.com/u/33642054/image/medalion_of_four.jpg The Fractint compatible PAR file for the image is: medalion_of_four { ; Exported from Fracton. reset=2004 type=formula formulafile=fracton.frm formulaname=F_20140108_1141 passes=1 float=y center-mag=-3.618931505229473/-7.152557203304979e-\ 14/60606061363.63636/1/0/0 params=-1/1/0/4/-1.13/0/1/0/0/0 maxiter=2000 inside=0 logmap=14 periodicity=6 colors=000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O\ 40C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40\ C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C1\ 0000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C100\ 00C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000\ C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C1\ 0O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O\ 40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40\ ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA\ 0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0h\ I0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0\ oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS\ 0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0u\ a0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0\ ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0ym\ 0zy0ym0ua0oS0hI0ZA0O40C10 } frm:F_20140108_1141 { ; Similar to the parallel resistance formula a=real(p1),b=real(p2),d=imag(p1),f=imag(p2), z=0,c1=pixel-p3,c2=pixel-p4: z=1/(1/(a*z*(cos(z)-1)*sin(z)+c1)+1/(d*(z^f)+c2)), |z|<100 } -- Mike Frazier www.fracton.org

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FOTD 07-01-14 (Rectangle Vestige [A-?,M-5])
by Jim Muth 08 Jan '14

08 Jan '14

FOTD -- January 07, 2014 (Rating A-?,M-5) Fractal visionaries and enthusiasts: Today's scene lies deep inside one of the strange rectangles that haunt the area of the Z^(2.003)+C Mandeloid that lies on the negative X-axis just east of the large minibrot complex. I could not give the art aspect a rating. I'm not sure the image, with its apparently random splash of colors, even has an art aspect. The math rating however is an everyday 5. We have been this way quite a few times before. The image is double rotated 0.4,0.4 degrees from the true Julia orientation, so the parent rectangle is quite distorted. This distortion inspired the name "Rectangle Vestige" The calculation time of 2-1/4 minutes will pass quickly enough. And if the image fails to bring gratification, not much time will have been wasted. To eliminate all chance of wasted time, try the web sites. The easy path to fractal gratification may be found 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 a temperature of -8F -22C and rose to a balmy afternoon high of +5F -15C, accompanied by media warnings of the danger of frostbite. The sky was mostly sunny, but with the air so cold, the sun had no effect on the icy roads and sidewalks. The fractal cats were unusually playful, which for a cat is worth being mentioned. The humans were successful at keeping warm. The next FOTD will be posted in the near future human time, almost instantly cosmic time. Until then, take care, and I heard that global warming is the cause of the unusual cold. Either that or a nuclear winter has begun. In either case, I guess a hefty tax on carbon emission would solve the problem. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Rectangle_Vestige { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=1 center-mag=-0.00048501099573621/+0.002209588115359\ 59/1.6116e+008/1/-73.75/0 params=89.6/0/89.6/0/\ -1.7435/0.0001/0.000175/0.073883/2.003/0 float=y maxiter=1800 inside=0 logmap=265 periodicity=0 colors=00001c02c23c45c66c97cB9cDAcGBcIDcLEcNFcPHcS\ IcUJcWLcZMc`NcbPceQcgRcjTc987JGETPL1A22K54V75dA6nC\ 8yF22644D66K88RAAYCCdEEkHHr1203415727938C3AE4CG5EJ\ 6FL6HO7JQ8LS9MV9OXAQ_BSaCUdD1213535857A69D8BGADJBF\ LDHOFJRGLUIMWKOZLQaNScPUfQWiSYlU_nVaqXctZew`120351\ 5827B39E3AH4CK5EN6GP6IS7JV8LY9N`9PcARfBTiC320741B6\ 2E82IA3MC4PE4TG5XI61403804D16H17L29Q2AU3CY3Db4Ff4H\ k540590BE0HJ1MO1ST1YY1cb2hg2nl2tq3z331663A95DD7GG9\ KJBNMCRQEUTGXWI`_KcbMgeNjhPmlRqoTtrVxvX00200400600\ 800A11200C00E00G00I00K00M00O00Q00S00V68TDHRJPPQYMW\ eKbnIiwFbsGWoHOkIHgJ9bLAbLCbLEaMehSimV211532844A65\ D87G98IB9QDBTECWGEYIF`JGcLIeNJhILeLMjONfQPbTQcWS84\ CH8OQC`1333665A97DC9GFBKIDNLFQOHURJXUL_XNc_PfbRje1\ 103314516728829A3BC3CE4EG4GH5HJ5JL6KN6MO7OQ7PS8RU8\ TW90211431652972B93DB4FD4IF5KG5MI6OK7RM7TO8VQ8XS9_\ U9aVAcXBeZBh`CjbCldDnfEqh } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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FOTD 06-01-14 (Trouble in the East [A-7,M-7])
by Jim Muth 06 Jan '14

06 Jan '14

FOTD -- January 06, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: While yesterday's image took us to East Valley of the parent almost-Mandelbrot set, today's image takes us to the main spike, where we examine the northeast shore line of the large minibrot, which at today's orientation lies on the southwest side. The minibrot itself is beginning to break up, a sure sign that interesting things are likely to be found there. I named the image "Trouble in the East", not as a comment on world affairs, but as a reminder that the scene lies in a troubled area of the parent fractal. The fact that I skewed the image to twist the chain of 'yellow teeth' from a rhombus to a near-perfct square also entered into the name. The art and math both rate a 7, making the image well worth the 1-1/3 minutes required to calculate it. But time is time, so remember the web sites. Save both time and energy by checking the finished images 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 added interest to the sky here at Fractal Central today. But the temperature of 50F 10C at daybreak fell to freezing by afternoon, which with a blustery wind, made the interesting sky not too enjoyable. And the low of 0F -18C forecast for tonight will make things only worse. The fractal cats passed the day wondering what kind of trouble to get into, while the fractal humans tried to keep out of trouble. The next FOTD will be posted within a reasonable time. Until next time, whenever that might be, take care, and I already see politicians trying to buy votes with promises of increased benefits for the voters if they are elected. I wonder what the difference might be between this kind of bribery and classic political corruption. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Trouble_in_theEast { ; time=0:01:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+1.744506240835/+0.014698570775/2673270\ /1/-61.25/6.0885268721 params=2.001/0/4.7/0 float=y maxiter=2000 inside=0 logmap=120 periodicity=6 colors=000C0LC0MB0OA0QA0R90T91U82W73Y74Z65`66a57c4\ 8e49f3Ah3Bi2Ck2Dl5Ek8FjBGiEHhHIgKJfNKeWPecUdzr0zmb\ ucDmUEfSE_QETOEMMEFKEEIKDGUCEcBCmAEm9Gm8Im7Km4Mo0O\ y1Qo2Sf3UX6VOAWFFUJKVNPYRU`VZcZccbhbfhaem`eo_dqZdr\ T`rRYrOVrMSpJPnHMlEJjCGhGOfKW`HSVEOPBKK8GE5C828304\ 5036037A38K29U2Ac2AmHAtBGU7M34SBCYIKcPSiX_ocgujozq\ wmktacmQUcEKU2AK90AFAKMAUSAUYAPdALjmGpmCqmGqhJrcMr\ ZQsUTsPWsKZtFVuCSv9Pw6Mx3JoIRgXZ_kfSymKcEwL1vO3vQ5\ uT7uV9tYBt_DsbFsdHt_JtVLtQNtMPuHRuCTu7Vu3WjDY`NZYT\ YWYYUcYShYQnYOsYUtb_ufdvjjwnoxrZDEZCCYCBYB9XA7XA6W\ 94W82W81UA4SB6QC9PDBNEDLFGKGIIHKGINEJPDKRBLU9MW8NY\ APZCQ_ES`GTaIVbKWcMYdOZeQ`fRafTNMU91VB4VD6WF8WHAXJ\ CXLEYNHYPJZRLZTN_VP_XR_ZTb_Ve`XhaZkb`ncbqddteetgct\ hati_tjYtkWtlUtmStnQtpOtqMtrKtsIttztuztvztwzrvzquz\ ptzotznszmrzkqzjqzipzhozgnzfzH7zA8zD8zF9zH9zJAzLAz\ OBzQBzSCzUCzWCzYDzWEzUFzS } 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 05-01-14 (Herringbone Filters [A-6,M-6])
by Jim Muth 06 Jan '14

06 Jan '14

FOTD -- January 05, 2014 (Rating A-6,M-6) Fractal visionaries and enthusiasts: Today's image is found in the everyday parent fractal that results when the formula Z^(2.001)+C is iterated 4.7 levels up the hyperladder with no function applied. This parent is a near-Mandelbrot set rotated 180 degrees so that East Valley falls on the negative X-axis, and the main spike, where even more action is happening, lies on the positive X-axis. Today we focus our attention on East Valley, which instead of coming to a sharp point, has been broadened into a wedge infested with sickle-shaped debris. Today's scene lies in this debris. The coloring is rather chaotic, and both the art and math tricks have been seen before, which holds the ratings of both of them to a routine 6. The name "Herringbone Filters" has nothing to do with the field of TV repair. It came to mind when something in the scene reminded me of herringbones. Most of the coloring effect was produced by rendering the scene with the outside set to 'tdis'. Other options produce different effects, some of which have potential. The calculation time of a dragging 11-1/2 minutes will pass slowly even for the most devout fractal fans. But relief is always at hand on the web sites. To view the image without calculating it, 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> The morning was sunny here at Fractal Central today. But clouds moved in by noon and by mid-afternoon freezing rain was falling, with a temperature of 28F -2C. The fractal cats were too busy chasing each other up and down the hallway and tussling to worry themselves with the weather. The fractal humans were simply glad there was no reason to go out. The next FOTD will be posted in a matter of minutes, which will also be a matter of seconds, hours, weeks, months or years, depending on how time is measured. To find the exact numbers, check back at regular intervals. Until whenever, take care, and a local eight-year-old boy was recently asked what was the best thing that happened to him in 2013. He replied it was when he got his mini I-pad for Christmas. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= HerringboneFilters { ; time=0:11:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=t center-mag=-0.2521599928326848/-0.0019727729038808\ /2.614896e+009/1/-40/0 params=2.001/0/4.7/0 float=y maxiter=8600 inside=0 outside=tdis periodicity=6 colors=000sfqsivb`pMTj5Le7Oa9RYBUUDWQFZMHaIIcFDfM9\ iS3ubFlgRdkbWpnOtiKndHi`EdWA_S7VN4QJ1LN8OQFQTMSWTU\ __XbfZem`hsbkocmlcoidqfdscdu`ewYeyVehWlSXrCYxLSoTM\ faGYcAP88HUAJ10K02D03MD0NB6O94PA0M54J0AG0AD52A0AC0\ 5E25G55I5Th64eCFaHQYN`VckRmuOrq_lccckcUieKffAdhqvz\ ipjakaUfTM`KEMB7R28W39U3Ad3Ah3Bl4zz4Du4Dy4Lx9TwEzw\ JgvOhtQyzzjpUknWllYmj_zhaogbjhceid`jeWjfRkgMlhHmiD\ miIfiM`iQUiUOiYHiaBie5izAjzEkXJlUNmRSnOWoKdYHwbDgh\ Awm6es3cx9xtFeqLxnRxjXxgbmdhm`nmYtmVymSwmWvsZuqaso\ drlhqjkohnnfqmdtkeqiengfkffihdhicgjbfkaem`dnZcoYbp\ XarW`sV_tTZuSYwRXxQWyPVzOUwQRuROrTLpUInVFkXCiY9`lG\ `lG_lG_lGZlFZlFYlFYlFYmFXmEXmEWmEWmEVmDVmDUmDUmDTm\ DTmCSmCSmCRmCRmCQmBQmBPmBPmBPmBQlCQlCRlCRlDRkDSkDS\ kDTkETkETjEUjEUjFUjFVjFViFWiGWiGWiGXhGXhHXhHYhHYhH\ ZgIZgIZgI_gI_gJ_fJ`fJ`fJafKafKaeKbeLbeLceLcdLcdMdd\ MddMddMecNecNfcNfcNfcOgbO } 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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CheckItOut
by JackOfTradeZ＠comcast.net 05 Jan '14

05 Jan '14

. http://apod.nasa.gov/apod/ap131230.html .

4 5

FOTD 03-01-14 (Difficult Territory [A-6,M-4])
by Jim Muth 03 Jan '14

03 Jan '14

FOTD -- January 03, 2014 (Rating A-6,M-4) Fractal visionaries and enthusiasts: Today's image is a quick trip to the main spike of a Mandelbrot set corrupted in its depths by Z^(11)+C energies. The scene is located on the west side of a half morphed minibrot lying just beyond the limit of the main series of Mandelbrot buds. Due to the unusually large iteration count of the elements, this is a rather difficult area to investigate, which inspired the name "Difficult Territory". The art rates a 6. Such images are easily found in the classic M-set, and only the coloring raises today's image a little above average. The math fully rates its lowly 4. The image takes 3-1/2 minutes to calculate. The individual viewer must decide if such an average image is worth the time. Those who decide the image is not worth the effort may view it sooner on the web sites. But how will they know if it is worth the effort unless they have already seen it. The completed 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> Bright cloudless weather prevailed here at Fractal Central today. But with 7.5 inches 19cm of snow on the ground and a temperature that began at +3F -16C and rose to a high of only 14F -10C, along with a biting north wind, it was hardly a day to be out enjoying the sunshine. The fractal cats felt the chill early and avoided the draftiest windows. One fractal human (me) spent an hour clearing the sidewalk, while the other human (FL) supplied the hot coffee. The next FOTD will be posted before long. Until whenever, take care, and be fortunate. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= DifficultTerritory { ; time=0:03:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-1.401945986326833/+0.00000000226729686\ /6.572439e+009/1/-90/0 params=11/1e+024/0/0 float=y maxiter=2250 inside=0 logmap=-390 periodicity=6 colors=000AKzAKzAKzAKzAKzAKyAJyAIyAHxAGxAGxAFwAEwA\ EwADvACvACvABuAAuAAuA9tA8tA8tB7sC6sD7sC6qC6pC6nC6m\ C6kC6jC6hC6gC6eC6dC6bC6aC6_C6ZC6XC6WC6UC6TC6RC6QC6\ OC6NC6LC6KC6IB5GC6HD7HD8HE9HF9HFAHGBHGCHHDHIDIIEIJ\ FIJGIKGILHILIIMJIMKINKJOLJOMJPNJPOJQOJRPJRQJSRJQQK\ SRJTSJVTJWUJYVJZVJ`WJaXIcYIdZIfZIg_Ii`IjaIlbHmczmc\ zmdzmezmfzmgzmfzmgzmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzm\ zzmzzmzzmzzmzzmzzmzmmzmmzmmzmmzmmzmmzmmzmmzzmzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzozVpzWpzXpz\ XpzYpzZpz_pz_pz`rzarzbrzbrzcrzdrzerzezm`zm`zl_zl_z\ l_zlZzlZzlZzlYzlYzlYzkXzkXzkXzkWzkWzkVzkVzkVzkUzjU\ zjUzjTzjTzjTzjSzjSzjSzjRzjRziRziQziQziQziPziPziOzi\ OziOzhNzhNzhNzhMzhMzhMzhLzhLzhLzgKzgKzgKzgJzgJzgJz\ gIzgIzgHzgHzfHzfGzfGzfGzfFzfFzfFzfEzfEzeEzeDzeDzeD\ zeCzeCzeCzeBzeBzdAzdAzeBzeCzeCzeDzeDzeEzeFzeFzeGze\ GzeHzeHzeIzeJzfJzfKzfKzfL } 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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