August 2009 - Fractint - mailman.xmission.com

experimental fotd feed
by Richard 17 Jun '10

17 Jun '10

<http://www.xmission.com/~legalize/fractals/fotd/test/index.html> Yes, there are gaps. xfractint doesn't always succeed in rendering. Comments? -- "The Direct3D Graphics Pipeline" -- DirectX 9 draft available for download <http://www.xmission.com/~legalize/book/download/index.html> Legalize Adulthood! <http://blogs.xmission.com/legalize/>

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FOTD 31-08-09 (A King's Scepter [7])
by Jim Muth 31 Aug '09

31 Aug '09

FOTD -- August 31, 2008 (Rating 7) Fractal visionaries and enthusiasts: The philofractal version of this discussion is longer. Today's image is a simple scene rather deep in Scepter Valley. I named it "A King's Scepter" and rated it at a 7. Just like Seahorse Valley to its east, Scepter Valley is filled with 'peanut holes' in its depths. This type of image can be hard to color attractively, but with today's image the 'tdis' outside option works reasonably well. The image calculates in 10-1/3 minutes on the P4-2000mhz machine, mostly due to the extreme maxiter of 15,000,000. But on the P200mhz unit it would take about 3 hours to complete. If time is a problem, solve the difficulty by going to the FOTD web site and viewing the finished image there. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A picture perfect day prevailed Sunday here at Fractal Central, but my sister reported light rain back at Old Fractal Central. The new fractal cats approved of the sun and temperature of 77F 25C. My day was slow enough to be enjoyable. The next FOTD will be posted in 24 hours. Until next time, take care, and look for the unexplained. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_King's_Scepter { ; time=0:10:19.83-SF5 on P4-2000 reset=2004 type=mandel center-mag=-1.2500000363126\ 57/+0.00007448147432569/1.402647e+011/1/-5/0 params=0/0 float=y maxiter=15000000 inside=0 outside=real periodicity=10 mathtolerance=0.05/1 colors=000lUFmTFmSGmRHmQImPJnOJnNKnMLnLMvPOrNNnLMk\ JLgHLcFK`EJXCITAIQ8HM6GJ5GK6IL6KM7LN7NN7OO8QP8RQ9T\ R9VR9WSAYTAZUB`UBaVBcWCeXCfYDhYDiZDk_El`EnUq2`Eo_G\ lZHiYIfXJcXK`WLYVMVUNSTOPkGbAcBTPNk0ik6ckBZkGTkLOk\ QIkVDk_7kd2fe3af3Yf3Tg4Og4Kh4Fh5Ai56i57h68g79f8Ae9\ AeABdBCcCDbCDbDEaEF`FG_GHZHHZIIYIJXJKWKKWLLVMMUNNT\ OlYm_V`NTOGdy7O7BRCETGIVKLXPOZTS`XVcaZeeagidinhkrk\ mvnozonyomxolwpkwpjvpiuqhuqgtqfsrerrdrrcqsbpsaps`o\ t_ntZmtYmuXluWkuVkvUjvTivTiuVhuWhtXhtYgtZgs_gs`fsa\ frbfrcerdeqeeqfdpgdphdpicojcokcolbnmbnnborenpcnobm\ m`ml_mjYliXlhVlfUkeSkcRjbPjaOj_NiZLiXKiWIhUHhTFgSE\ gQCgPBfN9fM8hM4gL6fL7fL8eL9dKAdKBcKCbKDbJEaJFaJG`J\ I_JJ_IKZILYIMYINXHOWHPWHQVHRWGSVHSUISUJSTKSTLSSLSS\ MSRNSROSQPSQPSPQSPRSOSSOTSNTSNUSMVSMWSLXSJYQLXSMXT\ OWUPWVRVWSVXUVYVUZXU_YT`_Ta`SbbSccSdeRefRfhQgiQhjQ\ ifTjbWkZZlVamRdnNgoBnnFko } END PARAMETER FILE=========================================

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FOTD 30-08-09 (Mocha-Mocha_Midget [6])
by Jim Muth 30 Aug '09

30 Aug '09

FOTD -- August 30, 2009 (Rating 6) Fractal visionaries and enthusiasts: Check the philofractal version for credulity. The unlikely mixture of Z^(0.8) and Z^(100) plus (1/C) created an unlikely parent fractal in the shape of a giant disk edged by buds of various shapes and surrounded by the trapped emptiness of infinity. Today's scene is located in the center of this unlikely parent. I named the image "Mocha-Mocha Midget" because of the coffee- colored background. Then, seeing nothing unusual in it, I rated it at a 6. The calculation time of under 15 seconds means lots of free time for those overworked computers. A visit to the FOTD web site means lots of fun. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Saturday began cloudy and muggy here at Fractal Central, but by noon the sun broke through and the temperature rose to 86F 30C. All was not yet well however, for at 5pm a brief but very heavy rain squall passed over, dropping the temperature to 72F 22C and getting the fractal cats' attention. The sun re-appeared even before the rain had ended and the day ended picture-perfect. My day was all right. The next FOTD will be posted in 24 hours. Until then, take care and wouldn't it be fun is the aliens actually *were* phantoms and we caught one of them. Then we would have proof of both aliens and ghosts. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mocha-Mocha_Midget { ; time=0:00:14.67-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip center-mag=42.2529/-12.0857/32.86356/1/-133.3/0 params=1/0.8/1/100/0/0/0/0 float=y maxiter=1000 inside=0 logmap=14 periodicity=10 colors=000jYRiXQhWPaTOVQNONKHKKBIKKEHTHK`EJiBIr8Hz\ 5GwBFuGErMDpRCmWBkaAhf9fk9bmE_oIXqNUrRSpNQnKPlGNkD\ Mi9Kg6Jf3Ia8IYDHTIHPNHLRIKVIJYII`IHcIGgIFjIEmIDpGE\ qEErDErBFs9Ft8FtOQsc_sYXnTViNSdIQ_MQZQQYUQXYQXaQWe\ RViSUmTUpUZrVbtWfvXjxYnzZrx_qw`puaotborcnqdmoelnfl\ egZXhLPi8NjALkCKlEImFGnHFoJDpLCqMErQGsTItWKuULvTMw\ ROxQPyOQzNPzPOzQNzRNzSTzRZzQdzQjzPpzOvzOozSzzVzzYz\ z`zzdzzgzzjzzmzznzznzznzznzznzznzznzznzzlzzjzzhzzf\ zzdzzbzz`zzczzfzzizzlzzozzrzzuzzwzzozzhzUazZVzcOzh\ SzmWzqZzvbzzeztZzoTziNzdHzdkz_hzWfzRdzNazI_zEYzAWz\ D_zGbzJezMhzPkzRnzRmzRlzRlzRkzRkzRjzRjzJlzCnzDozEo\ zFpzFpzGqzHqzIrzIrzvGzkNz`UzQ`zSVzUPzWJzYDz_7zkAzk\ Azl9zl9zl8zm8zm7zm7zn6zn6zn6zl5zj5zi5zg5zf5zd5zc4z\ a4z`4zZ4zY4zW4zV3zT3zS3zQ3zO3zN3zL3zK2zI2zH2zF2zE2\ zC2zB1z91z81z61z51z31z21zsgzqezpdznczmbzlazj`zi_zg\ ZzfYzeXzcVzbUz`Tz_SzYhzY_ } 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 29-08-09 (Various Distortions [No Rating])
by Jim Muth 28 Aug '09

28 Aug '09

FOTD -- August 29, 2009 (No Rating) Fractal visionaries and enthusiasts: Check the philofractal list for a longer discussion. Today's image is more a fractal study than any kind of art work. But as a combination of Z^2 and Z^(-2) it is still worth a look. The image is named "Various Distortions". I gave it this name when I saw in it the three types of distortion that can afflict Mandeloids. These distortions surely have sound mathematical causes, but other than the non-critical type of distortion, I have no idea what these causes might be. The first type of distortion appears in the dark Mandeloid fragments vaguely showing in the background in the northeast and southeast parts of the fractal. This distortion appears when the starting point of Z is set to a non-critical value. This particular distortion can be readily seen by calculating the type=mandel Mandelbrot set and setting the parameters to something between zero and one. The distortion simply cuts off part of the set. The second type of distortion is clearly visible in the two prominent Mandeloids on the X-axis. In the Mandeloid on the left, the main period-2 bud is too large and the higher-order buds are bunched toward East Valley, while in the Mandeloid on the right, the main bud is too small and the higher-order buds are spread out toward the main bud. I have no idea of the mathematical cause. The last type of distortion is visible in the two smaller asymmetrical Mandeloids at the top and bottom of the image. In this case the entire system of buds is skewed to one side or the other. In the buds in the image, this skewing is not too severe, but it sometimes becomes so severe that the main period-2 bud is impossible to find without checking the actual orbits of the points. Once again I have no idea of the cause. Since the image is more a mathematical study than a work of art, I could give it no rating. But with a calculation time of under 15 seconds, at least on my recently rehabilitated middle-aged 2000mhz machine, there is no reason for anyone to miss seeing the distortion. Of course, the trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> is still more fun than calculation. Heavy clouds and periods of rain spoiled Friday here at Fractal Central. The temperature of 70F 21C was irrelevant. The fractal cats checked the outside several times, but when they saw too much rain and no sign of the end of the world. they went back to sleep. My day was rather busy but not frantically so. The next FOTD is scheduled to be posted in 24 hours. If an unexpected antiquing expedition comes up, the FOTD might be delayed however. Until next time, take care, and prepare. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= VariousDistortions { ; time=0:00:14.88-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.861346/0/0.814578 params=0.1/-2/0.55\ /2/0/0/0/0 float=y maxiter=350 inside=0 logmap=yes symmetry=xaxis periodicity=10 colors=000wkCri0mg3he6cc9ZbCU_BPXAKU9FR9ANH5JO1FV1\ Ba07h03z9DzINzQXzZfzfpzamzXjzSgzNdzIazDZz8Wz4UzCQz\ KNzSJz_GzgDz_AzS8zL6zD4z62zWSzMBzNAzNAzNAzNAzNAzNA\ zNAzNAzNAzNAzNAzNAzNAzXSzehncimajl_jkYkjWliUlhSmgR\ mfPneNodLocJpbHqaFq`Dr_CrZFs_Ht_Ju_Lu_Nv_Qw_Sw_Ux_\ Wy_Yy_iwOuvDtrFsoHrlJqiLpfNobPn_RnXSmUUlRWkNYjK_iH\ ahEchBdiEejGekIelLemNemPenSfoUfpWfqZfr`frbfodble_j\ fXghUeiRbjO`lLYmIWnFTpCRq9Or6Ms3Pp4Rn5Tk6Vi7Xf8_d9\ aaAc_BeXCgVDjSElQFnNGpLHrIItGJvPXxYjzexzguzhrziozj\ lzkjzlgzmdznazoZzpXzqUzrRzsOztLzuJzvLDwzFxzGyzIzzJ\ zzLzzMzzOzzPzzRzzSzzUzzVzzWzzTzzQzzOzzLzzJzzGzzDzz\ Bzz8zz6zz9zzBzzDzzFzzHzzJzzLzzNzzPzzRzzTzzVzzTzzRz\ zQzzOzzNzzLzzKzzIzzHzzFzzEzzCzzBzkEzeGz`IzWKzRMzMH\ zKCzI7zG2zE7zFBzGFzHJzIOzJSzKWzL_zMczIfzEizAlz6oz2\ gz3_z4Sz5Kz6Cz79z67z65z53z51z5vzNqzOlzPgzQbzRYzSTz\ TOzUJzVEzW9zX5zYCzZWzUSzP } 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 28-08-09 (Spots on a Window [7])
by Jim Muth 28 Aug '09

28 Aug '09

FOTD -- August 28, 2009 (Rating 7) Fractal visionaries and enthusiasts: Sorry! No philofractal version today. I had no time for philosophy. Due to a work rush, today's discussion is very brief. The image is located in the same parent fractal as yesterday's image, though its character is quite a bit different. Some but not all of the difference was achieved by rendering the image with the outside set to 'tdis'. When all was said and done, I named the image "Spots on a Window" and rated it at a 7. The fast calculation time of 1-1/2 minutes will make the task of calculation a minor pleasure. Another pleasure will be to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and gaze in awestruck wonder at the finished image posted there. Heavy clouds with occasional light rain and a temperature of 68F 20C marred Thursday here at Fractal Central. The fractal cats' day was marred by too few treats. The next FOTD will be posted in 24 hours. Until then, take care, and do what you will. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Spots_on_a_Window { ; time=0:01:31.68-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip center-mag=-0.7552993857561324/-2.623422967775008/\ 1.915784e+012/1/61.6/0 params=-1.5/-1.5/-0.5/-5.5/\ 0/0/0/0 float=y maxiter=1000 inside=0 outside=tdis logmap=59 periodicity=10 mathtolerance=0.05/1 colors=000b5dd6Zf7Sh8Mi8Gg9PfAXdAecBmbBuaGs`Mq_RpY\ XnXalWgjZMgYShXXhWbiVgigyG`rViiGejOakVYlbOMPS__5JR\ AOVETYIY`NbcRgf8OhBSiEViHYiK`iNciQfiTiiXjYWk`WkbVl\ eVlgqO7e`RPyBzzPQsSKbVDVY7M`1Eb5FZ8GVBHREHNHIJKJFN\ KBQK7deXzzzovtmsskorilrgiqeepcboa_ovLWcPUcSTdWSZZR\ TbQNePHhOFf_EdkySprRqlRrfRs_RtURuORvIRwJUsJXoJ_kKb\ gKecKh_KkXJmTJoPIqLIsILpGNmEPkCRhATf8Vc6Xa5abGecRi\ damelddoXdrPduIiiBmY5qM3aO2MQ5SL8YGAcCDi7Fo3InBLnI\ NmP`lnQmWTlbDxdJtfPphfWTc`Y`daYhe8fpCgoFhnIimMjlbZ\ RgYOlYMqXJuXHoTJiQKcNLYJMSGNMDOOLUPTZR`cShiUpnVwsZ\ iobXkeKgjR_oXStcKyiDrkGklJdmLYnORoQKpTEqVXcInR6cOI\ TMTQOSNPSKQRHRRESQBTQ8UQGSWOR`WQfcOkkNqrMvgTwX_wMe\ xBlx1rx9lvHftPasXWqdRpcRnbRlaRj`Rh_RfZRdVjsSknPljM\ meKnaNhcPceRZfTUhVPjXKknxXhyYcyZZy_Ty`OyaJya9gO0RA\ 1WF1_J2cO2gS6U_AGgE2oZTsrrvrT9HwvJluLbtNStPIsQ8sSF\ pUMmVTjX_hYfe_mb`t`Z3q`4j } 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 27-08-09 (End of the World [6])
by Jim Muth 27 Aug '09

27 Aug '09

FOTD -- August 27, 2009 (Rating 6) Fractal visionaries and enthusiasts: There is no philofractal version of today's FOTD. Today's image lies in the fractal that results when various negative portions of Z^(-1.5) and Z^(-5.5) are combined and (1/C) is added. I named it "End of the World" and rated it at a 6. The name came about while I was watching one of those watered- down 'science' shows on one of the pop-science channels and the commercial break came. Believe it or not, one of the ads was from a group selling lottery tickets to escape the end of the world, which according to the Mayans and supposedly confirmed by science, is coming on December 21, 2012. I didn't catch all the details, but I suppose that the group is preparing survival chambers which will hold only a limited number of people, and when the end comes, only a lucky few winners will gain admit- tance to the survival chambers or space ships or what ever. Oh well, I'm not going to do anything. It's only the end of the world. I thought it was another serious something to worry about. I'd best get back to worrying about the asteroid or the volcano or the swine flu or the solar storm or the climate change or the . . . wait a minute . . . I thought the world was supposed to have ended almost 10 years ago at midnight December 31, 1999, when Y2K struck and all the computers went crash and civilization collapsed. The calculation time of today's image of a measly 2-5/6 minutes is just the slightest slow. So why not whiz out to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the finished image there. BTW, I cleaned all contacts and reseated every card in the 2000mhz fractal machine, and it's once again running like new. A rather nondescript summer day passed unappreciated here at Fractal Central on Wednesday. The partly cloudy but hazy skies were OK, as was the temperature of 86F 30C. The fractal cats were more interested in chasing each other up and down the hallway. My day was busy. The next FOTD will be posted in about 6 hours. Until then, take care, and be first in line. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= End_of_the_World { ; time=0:02:51.04-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.6399078173036166/+0.5867437930194448\ /4.255127e+009/1/22.5/0 params=-1.5/-1.5/-0.5/-5.5\ /0/0/0/0 float=y maxiter=1800 inside=0 logmap=280 periodicity=10 mathtolerance=0.05/1 colors=0009NJ6LH8NJAOLCPNEROFSQHTSJUULWVNXXOYZQZ`S\ `aUacWbeXcfZec`gabhZdjXfkUgmSioPkpNmrKosIquFrvDoqM\ mmUkhaidjg_reWzX_vObrGenFbmE_mEYmDVmDSmCQlCNlBKlBI\ lAFlACm9Cm9Bm8Am8Bm9CmADmAEmAFmAGm9Hm8Im7Jm6Km5Lm8\ MhBNfDOdEPbFQaHR`IS_JTZLUYMVXNWWPWVQWURWUSWVWXTZXS\ aXReXQhXPkXOmZRn_To`VpaXqb_rcatecufevghwhjxilxjnvg\ lsekrejn`ikZhiWgfUfcSeaPdZNcXLbYMaZM`_N_`N_aNZbOYc\ OXgDOgCLfAJf9Ge7De6Ad48d35c12c00Y23S46M69H7BOALVDV\ aGdhJnnMwkJuhHsfFqcDoaBnZ9lW7jU5hR3fP1eQ4dQ6cQ8cRA\ bRCaREaSG`SI`SK_TMZTOZTQYUSXUUXUWWUYWRZVP_VN`VLaVJ\ bVHcUFdUDeUBfU9gU7hU8eW9cYAa_B_aCYcCWeDUgESiFPkGNm\ GLoHJqImsJFuKmwKBxMAvOAtQ9sS9qU8pW8nY7m_7ka6jc6he6\ gg7ci8`j9XlAUmBQoBNpCJrDGsECuF9vF6sI9qLBoODmQFkTHi\ WKgYMe`ObcQ`eSZhVXkXVmZTp`RsbPudzv`NwXzxTLyPzzLJzH\ zzDHz9zz6JzAzzEPzHzzLVzPzzS`zWzz_fzbizfzzjnzmzzjfz\ gzzd_zbzz_SzXzzULzSzzPDzM } 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 26-08-09 (Heavenly Vision [7])
by Jim Muth 26 Aug '09

26 Aug '09

FOTD -- August 26, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today's image mixes negative Z^(-2.3) with 0.4 negative part of Z^(-6.4), then adds (1/C), which turns the naturally inside-out parent fractal rightside-out. This parent is a shapeless thing with a large bay on its southern side. This bay has Mandeloid buds along its shore line, with filaments extending inland from these buds and bits and pieces of scrap material scattered about the filaments. Today's scene lies inside one of these pieces of scrap material. I'm not quite sure what to make of the image, though I think I see quite a few disembodied elephant trunks in it. This means that an East Valley cannot be too far away. In a moment of high enlightenment I named the image "Heavenly Vision". I guess all the light blue shades inspired the name. The rating of a 7 is boringly average, but like an average super- nova, it can still be quite interesting to see from close range. The calculation time of 53 seconds will pass in a flash. The trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> will be just as fast, and the full philofractal discussion is posted there. Tuesday began with a fog bank hanging over the river, but by 9am the fog lifted to reveal a blue sky that lead to a near perfect summer day here at Fractal Central, with wall-to-wall sunshine, low humidity and a temperature of 84F 29C. The fractal cats enjoyed the conditions, but they did not enjoy a beat-up stray tomcat that prowled the yard for a while in the morning. My day was busy enough to keep boredom away yet still allow time for a FOTD. The next FOTD will be posted in 24 hours. Until then, take care, and maybe its all just a dream. But if so, who or what is doing the dreaming. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Heavenly_Vision { ; time=0:00:53.40-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+0.461851890412/-1.467279726811/2223760\ /1/-3.5/0 params=-1/-2.3/-0.4/-6.4/0/-90/0/0 maxiter=1500 inside=0 logmap=85 periodicity=10 colors=000KKUKLWKMXKNZKO_KP`KQcJReISgGTjFUlEVnCWqB\ XsAYuD_vF`wIaxKbyNczPdzSezUfzXgzZhzaizcjzfkzhlzkmz\ mnzprzrvztzzuzyuvwuruumquimuhivfeveavcYvbUz`Qz_MzZ\ IzbNzeVohacliSoqMrxNoyNmyNjyOhyOeyOcyPayPZyPXyQUzQ\ SzQPzRNzRLzRIzSGzSDzSBzS9zPLtMWnJfhHqbLpfPoiSnmWmp\ ZlsdejiZboSUtLMoMQjNTeOX`O_WPbRQfMQiHRmCSp8SsCRoGR\ kKRhORdSQ`WQY_QUcQQgPNkPJoPFsPCqQEpRGoSInSKlTMkUNj\ UPiVRgWTfXVeXXdYYbZ_aZa`_c_`eYagXahWbjVclTcnSdpRer\ QesRgrRiqRkpRloRnnRpmRqlRskRujRvjPskOplNnlMkmLhmKf\ nJcnI`oHZoFWpETqDRqCOrBLrAJs9Gs8Dt7Bt8Bs8Br9Bq9Bp9\ BoABnABmBBlBBkBBjCCiCChDCgDDfEDeEDdFDcFEbFEaGK`GK_\ HK_HKZIUzIUzIUzJUzJUzKUzKUzLUzLUzLcQFc3Ic7LcAOcDRc\ HUcKXcN_cRbcUecXhc`kccncfjcggcgcmz`mzYmzUrzRvzOzzK\ zzHzzEzzAzz7zz4zz3zz3zz3zz3zz3zz2zz2zz2zz2zz2zz1zz\ 1zz1zp1zp1zp1zp5zq9zqDzqHzrLzrPzrTzrWzmYzh_zi`ziaz\ jbzjczkdzkezkfzefz_TzcTzc } 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 24-08-09 (Ring Around the Posie [4])
by Jim Muth 25 Aug '09

25 Aug '09

FOTD -- August 24, 2009 (Rating 4) Fractal visionaries and enthusiasts: Check the philofractal version of this discussion for a philosophical outburst. Have we ever seen a fractal similar to today's? The answer is neither yes nor no, but how many times. Today's image shows a minibrot on a filament, one of the easiest kind to find. It was so easy to find in fact that I could rate the image no higher than a miserable 4. The parent fractal is a humongous thing about 1000 times the size of the Mandelbrot set. It is shaped like a distorted M-set with rings on three sides. To see this parent, set the magnitude to 0.001, the center to 0,0 the rotation to zero, and reset the logmap to zero also. Today's image is located in the East Valley area of a larger minibrot on the filament leading to the northeast ring. The name "Ring Around the Posie" refers to the rings in the image. Such rings are a universal feature in most double- negative fractals. I have no idea what a 'posie' might be, or even if it's a real word. The calculation time of 5 minutes means that a modicum of patience will be needed to calculate the image. The impatient may have their impatience relieved by going to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. Lots of clouds and oppressive humidity prevailed here at Fractal Central on Saturday. The temperature of 81F 27C felt more like 104F 40C. The fractal cats, not worried about humidity, seemed quite comfortable as they lounged most all day on their shelf by the window. Sunday was sunny and less humid. My Saturday was good enough. Sunday was better. But that is no reason that tomorrow should not be better yet. The next FOTD will appear in around 24 hours. Until then, take care, and be subjectively objective. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= RingAroundThePosie { ; time=0:05:04.61-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip center-mag=+268.2218482282329/+86.61052102191096/\ 8612658/1/-145/0 params=-3/-1.3/-0.3/-3.3/0/0/0/0 float=y maxiter=3600 inside=0 logmap=-436 periodicity=10 colors=000Ok9PkDQkIRlMSlQTlVUlZVmbWmgXmkXmoUikSehQ\ aeNYbLV_JRXGNUEJRCGO9CL78I54F31CS84UH7cPAmXCreFvmI\ zuKrrLmpMcnMUlNNjONhONfPNdQNbQN`RNZRNXSNVTNTTNRUNP\ VNNVNLWNJWRIVUHUXGU_FTbFTfESiDRlCRoBQrBQqCOqDMqEKq\ FIqGGpcEpcCpcApc8pc6rcCtcIvZOwUUvRXuPZtN`tLbsKdrIf\ rGhqEkpCmoBoo9qn7sm5um4wk8tjBqiEnhHkfKheNedQbcT_aW\ X`ZU_aRZdOXaQV_STYURWWPUXOSZMQ`KObIMcGJeEHgDFiBDk9\ Bl79n57p35r23s48q5Do6Hm7Ml8Qj9VhBZgCceDgcElbFp`GuZ\ HyYOvXUsX_pWemWkjWiiYhiZgi`fiaeibdidciebifaih`ii_i\ jZhlYhmXhnWhpVhqUhrThtShuRhvQhxPhyOhzMfsLglJheIiZG\ jSFkLDlECm7Bn9AoAApC9qD9rF8sG7tH7uJ6vK6wM5xN5yO6zQ\ 7zR8zS9zTAzVBzWCzXDzYEzZFz`GzaGzbHzcIzdJzfKzgLzhMz\ iNzjOzlPzmQznRzoRzpUzmWzjYzg_zdbzadzZfzXhzUkzRmzOo\ zLqzIszGqzJozLmzNlzPjzRhzTfzVezXczZaz``zbZzdXzfVzh\ UzjSzlQznOzpNzrLztJzvIzxJzhJzUJzFKzELzEMzENzENzEOz\ EPzEQzERzESzESzETzFNz4Nz4 } 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 22-08-09 (Egg-zactly Eastern [6])
by Jim Muth 25 Aug '09

25 Aug '09

FOTD -- August 22, 2009 (Rating 6) Fractal visionaries and enthusiasts: For a discussion about aliens from space, check the philofractal version of this FOTD. As far as fractals go, today's image is quite simple. It simply subtracts Z^7 from Z^8 and adds C. At first glance, the parent fractal resembles the Z^8+C Mandeloid, with some irregularities at its eastern end. A second glance shows the first glance was correct. Today's image lies rather deep in the valley on the positive X-axis, which is basically an east valley, and just about the only part of the parent fractal with true quadratic minibrots. The name "Egg-zactly Eastern" refers to the location of the scene in its parent and hints that calculating fractals is an egg-head activity. The rating of a 6 implies that I consider the image average. The calculation time of 11-3/4 minutes will drag. I recommend viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Morning clouds here at Fractal Central on Friday were followed by a period of moderate rain at midday and a partly cloudy afternoon, which, with a temperature of 81F 27C, was quite pleasant. The fractal cats were happy; I was appropriately busy; the next FOTD will be posted in 24 hours. Until then, take care, and keep looking up. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Egg-zactly_Eastern { ; time=0:11:46.46-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+1.001517485529658/-0.00009139358870301\ /4.087e+009/1/170/0 params=1/8/-1/7/0/0/0/0 float=y maxiter=4000 inside=0 logmap=712 periodicity=10 colors=000_f_Zg_Yh_Yi_XjZWkZVlZe2td4sd6rc8qcApbCob\ EnaGmaIlaKl`Mk`Oj_Qi_RhZTgZVfYXeYZeY`dXbcXdbWiaWp`\ fv_arV_nVZjVXgVWcVU_WTWWRTWQPWOLWNHWMEWLHZKKaKNdJP\ fJSiIblOgrLapIXnFSlEPkDNjSAsW71SG9OPGKzNGxU8tbBqaD\ n`Fk_HjZJhYMfXOdWQcVSaUU_TXYSZXR`VQbTPdEjdL_dSPzcD\ r`EdYFaVGYSGVQHRNIOKIKHJHFzDCvA9r66m10h34c47Z6AU7D\ P9GKAJFCMADP7FS5GV3FU5FT7FT8FSAFRCFRDFQFEPHEPIEOKE\ NMENNEMPELRELSFJRFIQFHPFGOGENGDMGCLGBKGAJH8IH7HH6G\ H5FH1BH4EH7HHAKHDNHGQHJTHMWHPZHSaHVdHYiH`lHcoHfqKh\ rHjrClrEmrFdlHWfIN`JFVDCL79C263_Vg`Sd`QaaN_aLXbIUb\ GScDPcBMaD5bBDc9Kd7Rf4ce5Ye6Sc6md7Gc8Am4cc85aB8ZEB\ XHDULGSOKPRPNUULYZI`cGchDfmBjr8mv6pz4sz5oz5lz5iS6e\ N6bH6_B6X65W63W52W51W52X63Y74Y85Z96ZA7_B8_C9`DAaEB\ aFCbGDbHEcIFcJGdKGdKHeLIfMJfNKgOLhPViZMjQNkROlSPmT\ QnURoVSpWTqXUrYUsZUteUudUvdUwdZxccychzcmzcrzbvzbzz\ bzzbzzazzazzazz`zz`zz`zz` } 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 25-08-09 (Deep-Blue Blues [No Rating])
by Jim Muth 25 Aug '09

25 Aug '09

FOTD -- August 25, 2009 (No Rating) Fractal visionaries and enthusiasts: Check the philofractal list for a longer discussion. Today's image came about when 0.3 part of Z^5 was combined with Z^2 before C was added. The indescribable parent fractal is little more than a jumble of Mandeloid parts, some critical, some not. Today's image is located near a larger minibrot in an area with East Valley tendencies in one of the more critical appearing parts of its parent. The image has East Valley hints, though no true elephants or pop-eyes are apparent. I named the image "Deep-Blue Blues" because I kind of got carried away with the blues in the image. Since I lost control of the coloring, I could give the image no rating, though a rating around 6.5 would be pretty close. The calculation time of 1-1/2 minutes will cause no one any inconvenience. And those with absolutely no time to spare may view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Blue skies, puffy clouds, lots of sun, lower humidity and a temperature of 81F 27C made Monday near ideal here at Fractal Central. The fractal cats appreciated the afternoon sun that came in the window where they watch the world. My day was average. The next FOTD will be posted in 24 hours. Until then, take care, and be one of them. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deep-Blue_Blues { ; time=0:01:30.78-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.8097582757255464/-0.3657870943551191\ /1.4693e+012/1/5/0 params=1/2/0.3/5/0/0/0/0 float=y maxiter=1500 inside=0 logmap=91 periodicity=10 mathtolerance=0.05/1 colors=000`8wY2yZ8x_Ew`Kv`QvaWubatbgtYbqUYoQUmLPkH\ LiDGg9Ce44H000aUfcUceUmjavnizrqzvxzoszhozbjwWfuQbv\ ZjafrSnzIjrOfjTbcYZWbVPgRHlOAqKJjGSdC_Y8hS4qL0yF3p\ K5hO7`SATWCL_EDcG5gL7dQ8bV9`_BZdCXiDVmETkKSjQRhWQg\ aQegPdmOcrOZoZUljPjuUgpYelache`diZ`mXXqVTnTQlSOiRL\ gPJdOGbNEaPKaRQ`SW`U`_Vf_XldpgaokZmoWK_TMYTOWTQUTS\ XTVYTY_Q`cNcjKfsHnjEtnCzkFskIlhL`dNTbS8YMFQHMICSBO\ TK_UTkVawWjrRimNhhIgcEfZAfjfdmbcoZbqVbtRavNaxJ`zF`\ pEUfEOYEIOECFE6ACD6AKABJDCIGCHJDGMEFPEEUIHYLKaONeR\ QiUTmXWq_YjWWdTVYPTSMSLJRFFP8CO29Nu4bp9ZlDWgIScMP_\ QMVVIRZFNbCKcEHdGEeIBfJEeOHeSKeWMe_PecSegUekThhTje\ SlbSn`RqYRsVQuSQwQ3`s2ao2bl2ch2ce5ac7`b9_aBZ`DY_FX\ ZNS`VNbaJdiEfq9hx5isCenIaiOYdUU__QbCGYGITJKONMJQOE\ TQ9XS4_U0bW2fS3iP5lM6oI8rF9uCAx9Bq6Ck3Ce0HfALgKPhU\ UicYjmajvdnfgrRiuCcjBZ_BUPBPEBK3BP8FTDIYHMaMPeQS_F\ JU5BKAGBFL2JQlYniSpfLscFu } 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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