April 2008 - Fractint - mailman.xmission.com

FOTD 21-04-08 (FOTD for April 21, 2008 [No Rating])
by Jim Muth 21 Apr '08

21 Apr '08

FOTD -- April 21, 2008 (No Rating) Fractal visionaries and enthusiasts: I'm still a bit down about losing Tippy on Saturday, so my usual fractal enthusiasm might be a bit suppressed. But there is a fractal for today nonetheless, and not a bad one at that. Today's image takes us back to that most famous of all parent fractals, the Mandelbrot set, where we check a scene deep in Scepter Valley, which is the valley at -1.25 on the X-axis. I could not honestly give a rating or a name to the image, which I found almost without effort. The slow calculation time of 30 minutes can be cut to 18 seconds by rendering the scene with the outside set to 'iter' instead of 'tdis'. But doing this misses the best part of the image. An alternative way to save time is to view the calculated image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A partly cloudy, rather pleasant morning here at Fractal Central on Sunday gave way to a heavily overcast afternoon, with a temperature of 63F 17C and intermittent heavy showers. The fractal cats ignored the rain as they took the day off. With the rain saving me from an afternoon of yard work, my day was slow enough. The next FOTD fractal image will be posted in 24 hours. Until then, take care, and give yourself at least a ghost of a chance. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_For_Apr_21_08 { ; time=0:29:57.34-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.25000687812826500/+0.001998204548718\ 07/2.730733e+010/1/15/0 params=0/0 float=y maxiter=100000 bailout=9 inside=0 outside=tdis periodicity=10 mathtolerance=0.05/1 colors=000LVpPUqUTrZSsbSsZMqVHoRCmN7kK2jM6fNAcOE`P\ IYQMVSQRTUOUYLVaIWdFUbLTaQS_VRZ_QXdPWiOUnNTsMSxPOV\ SK1VI5XH8_GBaFEdEIfDLhCOkBRmAVp9Yr8`t7cq9aoA`mBZkD\ YiEXgFVeGUcITaJR_KQYMPWNNUOMSPLUOOWNQXMTZLV`KXaJ_c\ IaeIdfHfhGhjFkkEmmDpoCrpCtiAqc9nY7kS6hM5eLDfKKgJRh\ JYhIdiHkjHrjMmgRieVec_`adX_hTYmOWrKUvGSxwUvqTulTtg\ SrbSqYRpTRnOQmJQlEPk9PdGXZNdTUlVXiW_gXbdYeb_h_`kYa\ nVbqTctReqRfoRhmRikRkiRlfRndRobRq`RrZRpYPoYOnYNmYM\ lYKkYJjYIiYHgXFfXEeXDdXCcXAbX9aX8`X7SOJJFVB6fFBhJG\ jNLlQQmUVoY_qadsdit_mjVpaRtTMwKIzBGtGFnKEiODcTCZXA\ T`9Ne8Ii7Cm67q98oB8nD8mF8lI8kK8jM8iO8hR8gT8fV8eX8d\ _8ca8bc8ae8`_BQUEFPH4SVRVhlXdkZak`YkbVkcRkeOjgKjiH\ jkDjlAjhPgdcdbbeabe`be_afZafYafW`gV`gU`gT_hS_hR_hQ\ _hNcgKggIkgFofDsfAwf8zfAuhBpjCllDgnEcpDdqDerCfrCgs\ BhtBitChsDgsEfsEesFdsGcrHbrHarI`rJ_rJZrIYqHXpGWoFV\ oEUnDTmCSmR``LZeGYjBXnGWo } END PARAMETER FILE=========================================

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FOTD 20-04-08 (Fractal Journey [6.5])
by Jim Muth 19 Apr '08

19 Apr '08

FOTD -- April 20, 2008 (Rating 6.5) Fractal visionaries and enthusiasts: It's a rather gloomy discussion today. At 8 this morning I got a call from my sister back at old Fractal Central. She told me that Tippy, one of the old fractal cats, died peacefully during the night, just two weeks short of his 19th birthday, probably from a heart attack. There was no long period of sickness; he was in pretty good health to the end. It's kind of sad to lose a friend of 19 years. He was already 8 years old when I started the FOTD in April of 1997. But that's the way it goes sometimes. Thomas, Tippy's litter-mate, is declining, and will probably soon go to join his brother. And then I assume my sister will go to the local SPCA and choose fractal cats 5 and 6. Today's image keeps us in the same parent fractal, this time taking us to a cut-off bit of debris just east of the fan. I named the image "Fractal Journey". After all, that's what the search for a fractal is. Then I rated the result at a 6.5. The image is only average. The calculation time is a speedy 2 minutes. It is even more convenient to view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With lots of sun and a temperature of 86F 30C, Saturday was a repeat of Friday here at Fractal Central. But heavy clouds moved in around sunset, and the forecast for Sunday is for showers. The new fractal cats, numbers 3 and 4, still in their prime years, were more interested in the birds than the weather. My day was about average. Sunday will likely be the same. The next in the series of FOTD's will be posted in 24 hours or so. Until then, take care, and look on the bright side. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Journey { ; time=0:01:53.96-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+5.992943482504987/+0.0360478707784354/\ 1.636003e+009/1/-92.5/0 params=-10/-1.1/-1/-11/0/\ 525/0/0 float=y maxiter=1800 inside=0 logmap=135 symmetry=none periodicity=10 colors=000MUlOVjQViSWgVXeXXdZYb`YacZ_eYZg`XiX`kX_m\ UboPfqOisIluHpwAsy7vpFnhNg`V`TbUUjNcrGmy9mt8cp8Wl8\ Kg7Mc7G_7IV6JR6LN6MJ6OG9PECQBFR9IS6LT4OU2QV3SW3UW4\ WX4YX5_Y5aZ6cZ6e_7g_7i`8k`8lYBjVDiSFhPIgNKeKMdHPcE\ RbCT`9W_6YZ3_Y1aX2`Y3`Y3_Y4_Z4_Z5ZZ5ZZ6Z_6Y_7Y_7Y_\ CXXHXUMWSRWPVWN_VKdVHiUFnUCrUAqSDqQFqOIqMKqKNqIPpH\ SpFUpDXpBZp9ap7cp6elAghDheGiaKjYNkVQlRUnOXoK_pGcqD\ fr9is6lt9kpBkmDkjFkgHkdJjaLjZNjWPjTRjQTiNViKXiHZiE\ `iBbi8ciAdiBeiDfiEgiGhiHiiJjiKkiMliNmiPniQoiRphPph\ OqhMqgLrgJrgIrgH_TEHEBIHCIJDILEJNFJPGJSHJUIKWJKYKK\ _LKaMGiZCpj9wvCurFtnIrkLqgOpcRn`UmXXlT_jQbiMehIhfF\ keBnd8h_BcWEYSHTNKNJMIFPCAS76V22X46Z5A`7Ea8IcAMeBQ\ fDUhEYiGakHemJinKmpLqqPtpSwpWzpZzpbzpezoizolzopzos\ zovzopzijzcezZ_zTUzOPzIJzDDz78z2Gz9OzFWzMczSkzZszd\ rzerzerzerzerzerzfrzfrzfrzfrzfrzgrzgrzgrzgrzgpzenz\ cmzakz_izYhzWfzUdzTHzoJzm } 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 April 19, 2008 -- (Most Unexpected [8])
by JimMuth＠aol.com 19 Apr '08

19 Apr '08

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Re: [Fractint] HELP !!!
by JackOfTradeZ＠comcast.net 17 Apr '08

17 Apr '08

. Hey - someone give me a good formula(s) to try to animate? Universe #6 is at E+87, soon to be posted. The trip out to E+112 may take another 6 months. In the mean time I am getting seriously bored. I may start drinking again. Need some good idears ... .

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FOTD 17-04-08 (Gone and Returned [6.5])
by Jim Muth 17 Apr '08

17 Apr '08

FOTD -- April 17, 2008 (Rating 6.5) Fractal visionaries and enthusiasts: Note: there will be no FOTD for one day only -- April 18. Today we have another image from the same parent fractal, and it's another image that rates a 6.5. 6-1/2 images seem to be all this parent fractal has in it. The scene is located on the eastern edge of the parent's fan, in the Seahorse Valley of a large but ill-defined minibrot there. But once again the final result falls short of the expectation. Then again, maybe my expectation was a bit too much. The image really is rather interesting. In an effort to make something of nothing, I evaporated the image and brought it back to life with the bof61 inside fill, but nothing times something always equals nothing, so the rating remained at a 6.5, but almost a 7. The name "Gone and Returned" refers to this evaporation and reconstitution. Let's face it, the calculation time of 11-1/2 minutes is slow, so my advice is to view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> An absolutely perfect day here at Fractal Central on Wednesday was fully appreciated by all concerned, the fractal cats included. With me, the work was moderate. But due to a big job expected tomorrow, there will be no FOTD for April 18. The next FOTD will appear on schedule on April 19. Until then, take care, and they say that life is a learning experience. This seems fair enough, but when do we get to put to use the all the lessons we work so hard to learn in the 80-year school of life? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Gone_and_Returned { ; time=0:11:34.04-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+5.309042814869086/-2.049162804283094/\ 769420.9/1/40/0 params=-10/-1.1/-1/-11/0/1e+100/0/0 float=y maxiter=20000 inside=bof61 periodicity=10 colors=0006Kq5Ks4KuX_i3KwtKNoLLkLKgMIcJH_HFVDER8CJ\ 3BJ99e91FE8ELFDPLCQSBUYAWd9YjWEaYD`ZDZ_CYaBXbBVdAU\ e9Tg8Sh8Qj7Pk6Om5Nn5Lp4Kq3Jr3In4Kk5Lg6Md7N`8PY9QUA\ RRBSNCTKDVGEWDFX9GY6HZTVLnh7ldEk`KjXQhTWgPafMgdLeb\ KcaJb_I`ZI_XHYVGXUFVSEURESPDROCPMBNKAMJAKH9JG8HE7G\ C6EB6D95B84A6385376786B97E97IA7LA8PB8SC9WC9ZD9bDAe\ EAiFBlFBpGArFBsGCsmDsGzmGEtHmtHGtHHncHuIIuIJuIKumK\ uIEhU8Xe1Ks2Lq3Lp3Ln4Lm4Lk5Lj6Lh6Lg7Le7Ld8Lb9La9L_\ ALZALXBLWCLUCLTDLRDLQELOFLNFLLGLKGLIHLHILFILEJLCJL\ BKL9FA7KL8PV9UdAWw0ZnB`fLbZWeQfdRecRebSebSeaTe`Te_\ Ud_UdZVdYVdXVdXWdWWdVXcUXcUYcTYcSZcRZcP_dRZcSYcTXc\ UWbVVbWUbXTbYSaZRa_Qa`QabP`cO`dN`eM_fL_gK_hJ_iIZjH\ ZkGZmFYlGZlGZlGZkHZkHZkHZkHZjIZjIZjI_iJ_iJ_iJ_iJ_h\ K_hK_hK_iLahK_gKYfJWeJVdITcIRbHPbHOaGM`GK_FIZFHYEF\ XEDWDBYC8WDAVDCUDETEGSEIQEKPFMOFONFQMGSKGUJGWIGYHH\ _GHaEHcDIeCIgBIiAJa8JmUKU } 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 16-04-08 (Most Indeterminate [6.5])
by Jim Muth 15 Apr '08

15 Apr '08

FOTD -- April 16, 2008 (Rating 6.5) Fractal visionaries and enthusiasts: On Tuesday morning fractal lady made a remark about the comments I so frequently insert at the close of the FOTD discussions. She said that any psychologist who reads the FOTD could do a pretty good psychological analysis of me. I agreed with her. And why not? "After all, that's their job," I reminded her. Analysis or not, I certainly do enjoy fractals. It's not that I'm trying to show that I'm an artist, it's simply that I enjoy exploration, and discovering the abstract things that happen when numbers start doing their thing. In today's FOTD for example, I found a minibrot in a most unlike- ly place in yesterday's parent fractal -- in the rudimentary East Valley of a larger but decaying minibrot at the edge of the great fan. Unfortunately, today's minibrot failed to live up to the enthusiasm I felt when I first realized that it was there, so I was forced to rate the scene at a third consecutive 6.5. I named the image "Most Indeterminate" when I failed to find what I expected. To complicate matters even more, the calcula- tion time proved to be an unwieldy 8 minutes. But eternal salvation is at hand in the form of the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the completely calculated image is or soon will be posted for immediate gratification and possible celestial enjoyment. Perfect spring weather made Tuesday a near perfect day here at Fractal Central, and the fractal cats agreed by spotting a pair of squirrels scampering about the yard. The dynamic duo made sure the squirrels stayed out of trouble, while I finished the nominal work. The next FOTD is scheduled to appear in 24 hours. And I would not be surprised if it actually does appear. Until then, take care, and who cares what the world is made of? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Most_Indeterminate { ; time=0:08:04.55-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+2.7845333264158/-2.7122381527887/1.118\ 171e+007/1/-150/0 params=-10/-1.1/-1/-11/0/525/0/0 float=y maxiter=10000 inside=0 periodicity=10 colors=000cOmfQjiSgkUdbajUipMpuOnqPlnRjkShgUgdVeaX\ cYYaV_`S`ZObXLcVIdUFeTHeTIeTKeTLeTNeTOeTQeTReTTeTU\ eTWeTXeTZeT_cQXbOUaLR_JOZGMYEJWBGV9DU6AT48U79V99WC\ 9XE9YH9ZJ9ZL9_OA`QAaTAbVAcYAd_AdaAc`Bb_Bb_BaZCaYC`\ YC`XC_WDZWDZVDYUEYUEXTEXTEVPCUJASJ9FA7QD6TF5VG5YH5\ _I4bJ4dK4gL4iM3lN3nO3qP3sQ2vR2xS2zT2xY3w`4vf5ug6to\ 7sm8rx9oqDmrHkpLimPgjTehXce`agjY`dUYeQVeMSfIPgEMgA\ Jh7GhCO_HVRMaIRhAbNCr1Em8GgEI`KJcQLVWNTaORgQPmRRkT\ TiVVgXXeZYd_Joe5yj4qd3i_4NR41I94KD7LIAMMDNQFOVIPZL\ RcOSgQTkTUzcVzcWzcXzcYzcZnR_kN`gKadHbaDcZAdW7eU6fS\ 6fQ6gP6gN6hL5hJ5iI5iG5jE5jD5jFCgHJeIQbKX`McYNjWPqT\ QwRSsQToQVlPWhPYeOZaO`ZNaVNcRMdOMfKLgHLiDKjAKl6Jm3\ Jj5Mg7Od9RaBTZDVXFYUH_RJaOLdLNfJPiGRkDTmAVp7Xr5YtB\ WsGUrLTqQRpVPo_OndMmiLmhOcgRUfULeXBd_2`Z5XY8TXBPWE\ LVHHUKDUMGTNISOKRONRPPQPRPQUPQWORYNR`NSbMSdLTfLTgI\ WhFYiD_jAak8cl5el3gg6fc8e } 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 15-04-08 (On the Brink of the End [6.5])
by Jim Muth 15 Apr '08

15 Apr '08

FOTD -- April 15, 2008 (Rating 6.5) Fractal visionaries and enthusiasts: Today's scene lies in the same parent fractal that gave us yesterday's image. But unlike yesterday's image, which was all there, today's scene is half evaporated, with the evaporated half on the right and the unevaporated half on the left. The scene is located very near the positive X-axis, in a detached area of debris just east of the great 'fan'. Both the bailout and the proximity are critical. In my opinion, the evaporated half gives the better impression, though it is up to the individual viewer to make the final judgement. Unfortunately, even with all its fancy technical stuff, the image can not honestly, again IMO, be rated higher than a 6.5. The name "On the Brink of the End" refers to the edge of the area of total evaporation, which neatly bisects the minibrot as well as the entire frame. The 'inside' part of the image was rendered with the 'fmod' option. The calculation time of 1-1/2 minutes is quite reasonable, and will cause no one any impatience. The fastest and easiest way to see the image, as almost always, is to make a virtual trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view it in completed form there. Chilly but bright weather was the rule here at Fractal Central on Monday. The high temperature of 48F 9C was more typical of early March than mid April, but the strong sun and lower winds kept the feeling of spring alive. The dynamic cats spent the day in as much sun as they could find. My day was fairly busy; tomorrow will probably be the same. The next FOTD will be posted in 24 hours. Until then, take care, and take a step on the bright side. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= OnTheBrinkOfTheEnd { ; time=0:01:26.02-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+6.150456348458149/+0.0026827408035873/\ 1.483275e+010/1/172.5/0 params=-10/-1.1/-1/-11/0/\ 2.26966821394e+017/0/0 float=y maxiter=875 inside=fmod proximity=0.02643535 logmap=104 periodicity=10 mathtolerance=0.05/1 colors=000DBKHCMKCONDQQDSTEUWEWZFYaFZeG`hGbkHdnHfq\ IhtIjwJlzJmvMlmOfpRjmPiiVhhcgg_ffffddeUUwaic_kbXma\ VU`Tr_zt_Ns`mzazqbChczzd5nezze3mb3m`4mZ4mX5lV5lT5l\ Q6lO6kM7kK7kIzkG6fC5b94Z54V23X63Y93ZD3_G2`K2aN2bR2\ cU1`U1YU1VU1SU1PU1MU1JU1GU1DU1AU17U15U9ATGETOISVMS\ UNQTNPSONROMQPKPPJOQINQGMRFLRDKSCJSAIT9HT8KR9NPAQO\ BTMCWLDZJE`IFcGGfFHiDIlCJoAKq9LiEQaJVVOZNTcGYg8bl1\ fp5cn8amC_lFXkJVjMTiQQgTOfXMe_JdcHcfFbiDafCbdBcbAc\ _9dY8dW7eT6fR5fP4gM3gK2hI2hL4jN6kP8lS9mUBoWDpZFq`G\ rbIteKugMviNwgMufMseMqcMobMmaMk`MjZMhYMfXMdVMbUM`T\ MZSMYUPVWRTYTQ_VOaXMcZJd`HfbFhdCjfAlh8nj5pl3qn1nk5\ lh8jeBhcEf`IdYLbWO`TRZQVXOYVL`TIcRGfSEeTDeUCdUBdVA\ cW8cX7bX6bY5aZ4aZ3a_8b`CbaGbaKbbObcTbdXbd`bedbfhbf\ lbbb`ZUZVKXRBVN2UO9RPGPQNMQTKR_HSfFSlDRiHPfLOcON`S\ LYWKWZJTbHQfGNjFKmDHqCEuBCx9Tg7iS6yC7u88q49m0XMFVL\ KTLPRLTPLYNLaaTkWOdPKYJFR } 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 14-04-08 (Wiggly Squiggly [6.5])
by Jim Muth 14 Apr '08

14 Apr '08

FOTD -- April 14, 2008 (Rating 6.5) Fractal visionaries and enthusiasts: A fractal like a little child deserves a childish name, such as "Wiggly Squiggly", so that's what I named today's image, which lies in the parent fractal that results when 10 negative parts of Z^(-1.1) are combined with one negative part of Z^(-11) and (1/C) is added. This parent fractal is a grossly oversized thing with quite a spectacular 'fan'. Today's scene is located near the southern edge of this fan. The parent fractal appears promising, so I might stick with it for a few more days to see what I can find. I'm certain it holds images that will rate better than today's 6-1/2. The calculation time of just under 4 minutes is a bit longer than I would have preferred, but still short enough to make calculation almost a pleasure. For total pleasure however, go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the completed image there. While I am working with fractals, my thoughts often drift to dis- tractions such as the nature of reality. By this time I am no longer certain that such a thing as an absolute reality even exists. The whole idea of an objectively real world out there and apart from us may be just another concept invented by our overly fertile imagination. Then, once we had invented our reality, we designed a method of science that would be compat- ible with our invention. And then again, I sometimes wonder whether it is myself that is doing the dreaming . . . Heavy clouds, chilly temperatures and occasional light rain spoiled things here at Fractal Central on Sunday. The fractal cats agreed and passed most of the day sleeping and chasing each other around. My day was reasonably calm, which left ample time for the fractal hunt, but as today's image shows, I bagged only a mediocre one. The next FOTD will appear in 24 hours. Most likely it will be an improvement. Until then, take care, and endure in the big search. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Wiggly_Squiggly { ; time=0:03:55.47-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+2.62230097131821/-2.780963225811715/\ 1.866183e+008/1/-170/0 params=-10/-1.1/-1/-11/0/\ 525/0/0 float=y maxiter=3200 inside=0 logmap=383 periodicity=10 mathtolerance=0.05/1 colors=000RFKRFLRFLQFLOFLMFMKFMGFMJFIGFNGFNGFNFFLE\ FJDFHCFFDFDEFBFF9GF7HF5IF3JF1KF0LF4MF8MFCLFGJFKHFO\ FFSEFUCG_BHX9Ic8JZ6Kc6K`3Kc7KcAKcCKcFKcIKcKKcNKbQK\ _SKWVLTWLQWMSWMUWNVWNXVOZWO_YPa_OcaNdbMfdLhfJigIkh\ GmgBrhEnhGkhJhhLehObiPZiRWiSTiTQiVNjXJj_GjaDjdAjg7\ lh3jj4hk4fm4em5co5ap5`q6Zr6Xs6Ws7Ut7Su7Ru8Pv8Nw8Jz\ 4Mw8OtCQrGSoKUmOWjRYgV_eZabbc`feYjfTsgWmhYgi_ajaWk\ cQkgJleLldMmcOmbPmaQn`Sn_ToZVoYWoXXpWZpV_pUzoVznVz\ nVzmVzpWzmVzkUzhTzfSzdRzaQz_PzXOzVNzTMzQLzOKzLJzJI\ zHIzIMzJQzKUzLYzMazMezK_zJUzHOzGIzECzD6zC0zE4zF7zH\ BzIEzJHzLLzMOzOSzPVzQYzT_zWazZbzadzdezggzjhzmjzpkz\ ofzoazoYzoTzoPznPzmQzlQzlRzkSzjTzjUKiVJhWJgXIgYIfZ\ He_Hd`GdaGcbFbcFbdFaeE`fE_gD_hDZiCYjCXkBVlBXmBWnAV\ oAQp5Rq6Rr6Rs6St7Su7Sv7Tw8Tx8Ty8Tz8Uz9Uz9Uz9VzAVzA\ VzA0znBz`LzNGzSHzRHzRHzQIzQIzQIzPJzPJzPJzOKzOKzNKz\ NLzNIzJIzJIzJIzJIzJJzKJzK } 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 13-04-08 (Minibrot [No Rating])
by Jim Muth 13 Apr '08

13 Apr '08

FOTD -- April 13, 2008 (No Rating) Fractal visionaries and enthusiasts: Today's image is named "Minibrot", and that's all it is. After spending the entire afternoon clearing the winter debris from the yard, I had almost no time for a proper fractal search. So I took the first minibrot I could find in the Z^(1.75)+C Mandeloid as it appears 6 levels up the logarithmic ladder when the cosine function is applied, and declared it Fractal of the Day for April 13. The parent fractal is a distortion of the classic Mandelbrot set, with today's scene located in its Seahorse Valley area. With no effort involved in its creation, the image could not be given a rating. The calculation time of 4-3/4 minutes is within reason. But it is equally reasonable to completely avoid the effort of calcula- tion and view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Saturday was the best day so far this spring here at Fractal Central. A heavy thunder-shower around 5am cleared out the murk, and by 9am the day was sunny with a temperature of 68F 20C. Things got even better in the afternoon when it reached 73F 23F. The fractal cats watched from the back window with amusement as I started work in the yard. The next FOTD is due and will likely appear in 24 hours. Until then, take care, and don't waste energy on a heroic but futile effort to create true meaning in a meaningless universe. This is what born-again skeptics and Atheists do, and I have never yet seen one succeed. But above all else, think positive. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Minibrot { ; time=0:04:43.24-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=cos passes=1 center-mag=-0.643729366910521/+0.3961159852470334/\ 95347.75/1/97.5/0 params=1.75/0/6/0 float=y maxiter=7500 inside=0 logmap=212 periodicity=10 colors=0002G83G94GA6GB7GC8FDAFEBFFCFGDFGKJKRMOYPSd\ TWkW_rZbo`alaajbagc`ed`be`_f`Yg_Vh_Ti_Qj_NkZLlZImZ\ GnZEfdDZiCSnBKsADxGLwMTvS`uYhtcpt`nsYlsVksTisQhsNf\ sLesKctJatI_tIYtHXtGVtFTtFRuEPuDOuCMuCKuBIuAGuAFu9\ Gr9Ho9Im9Jj9Kh9Le9Mb8M`8NY8OW8PT8QQ8RO8SL8SJ9RK9RL\ 9RL9RM9QN9QN9QO9QP9QPUZKnfGmdImcKlbLlaNk`Pk_QjYSjX\ TiWViVXhUYhT_hS`fXad`acdbahb_mcZqcXudWydTzeRzePzeN\ zeLzeJzeHzeFzeDzeBzeEvcGrbIoaLk`Nh_PdZRaYUYWWUVYRU\ `NTbKSdGRfDQcPR``RZkR_jT_jU`jW`iX`iZai_ahabhbbhdbh\ e`ggZfhXeiWdjUckSclRbmPanN`oM_pK_qIZrHYsFXtDWuCWvD\ UvDSvDRvDPvDOvDMvEKvEJvEHvEGvEEvEDvIKoMRiPYcTdYXkS\ _rM`pOanPblQcjRdhSefTfdUgbVh`XiZYjXZkV_lT`mRanPboO\ c_WVKbM5iE5jG4kI4lK4mM4nO3oQ3pS3qU3rW2sY2t_2ua2vb3\ wa4xa5ya5za6z`7z`8z`8z`9z`Az_Bz_Bz_Cz_Dz_EzZEzZFzZ\ GzZGzZKz`NzaQzbTzcWzdZzeazfezghzhkzinzjqzktzlwzmtz\ oqzpozqlzrizsgzt2z81z70z7 } 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 12-04-08 (Fragmentary Vision [6.5])
by Jim Muth 12 Apr '08

12 Apr '08

FOTD -- April 12, 2008 (Rating 6.5) Fractal visionaries and enthusiasts: Today's image lies in the Z^(sqrt(2))+C Mandeloid as it appears 1/2 level up the logarithmic ladder when calculated by the MandelbrotBC2 formula. I took a step backward when choosing this formula. The scene is located in a valley on the east side of the main bay, which might or might not be an East-type valley. Whatever the nature of the parent valley, there are no elephants or even pieces of elephants in the image. What we do have is a moderately attractive but well broken-up scene with a near-shape- less minibrot at the center. This minibrot might become better defined if calculated at a larger maxiter, but I feel that the current maxiter of 12500 is plenty large enough. The name "Fragmentary Vision" describes the image. The rating of a 6.5 includes an extra half-point for the bit of extra effort I put into the coloring. The calculation time of 10-1/4 minutes is slow, but the time can be speeded up by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Mild but overcast weather prevailed here at Fractal Central on Friday, with the temperature around 66F 19C. The cats slept through most of it. My day was moderately busy. Hopefully, tomorrow will be slower. The next FOTD, whatever it may be, will be posted in 24 hours. Until then, take care, and be calm in a fractal crisis. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fragmentary_Vision { ; time=0:10:14.12-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC2 passes=1 periodicity=10 center-mag=+0.15332371912302240/-0.010277132064488\ 32/5.053782e+009/1/-167.5/0 params=1.41421/0/0.5/0 float=y maxiter=12500 inside=0 logmap=1050 colors=000MC4NC1PE2PE2QF2QG2RH3RH3SJ3SJ3TK3UL4UL4U\ L4UM4UM4UM5UN5UN5UN5VO6VO6VO6VP6VP6VP7VP7VQ7VQ7VQ7\ WR8WR8WR8WS8WS9WS9WT9WT9WT9XUAXUAXUAXVAXVAXVBXWBXW\ BXWBYX9XWBXVCWUDWTEVSFVRGUQHUPITOJTNKSMLSLMRKNRJOQ\ IPQHQPGRPFSOETODUNCVNBWMAXM9YL8ZL7_K6`K5aJ4bG0bJAc\ LFdNKdPPeRUfUZhWcjYhk_mmdnpamn_jlYgjVdhTafRZdPWbMT\ `KQ_INZFKYDHXBEW8AW9AVABVACUBCUCDUCETDETDFTEGSFGSF\ HRGIRHIRHJQIKQIKQJLPKMPKNOLNOMOOMPNNPNNKNOOMPPMPNL\ QTLRNLRUKSVKLZLSVKZRKdNKkJJrFJyAKzBJzRJyDIwEIvEHuF\ HsGGrHGpIFoIFmJEbKEeLDeMDkMDmMCzUBwN9qP9pRAoUBmWCk\ VDiZEfcFdcGTUH`ZIYZJWZKUZLRdMVcKUcKThKVhJXhJZaJ_hI\ `hIahIbqHcqHdlHeqGfqGgrGhrFjsFltFpuEtuHxuLzuPzuSzu\ Wzu_zubzufzujzunzuizuhzufzuezuczubzv`zw_zxmzymzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzznzznzzozzpzzpzzqzzr\ zzrzzszzszztzzuzzuzzvzzwzzwzzxzzyzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandelbrotBC2 { ; by several Fractint users e=p1, a=imag(p2)+100, p=real(p2)+PI q=2*PI*floor(p/(2*PI)), r=real(p2)-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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