July 2009 - Fractint - mailman.xmission.com

26-07-09 (Flight of the Bird [7])
by Jim Muth 26 Jul '09

26 Jul '09

FOTD -- July 26, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today's image is late, just as I warned might happen. FL and I decided to have a fun afternoon on Saturday, and, not wanting to carry along the laptop, (I never do), I had to forget the frac- tal search. But when we returnrd to FC late in the afternoon, I had good luck with the search for the day's fractal. Good luck is always necessary because one of the greatest problems in the continuing FOTD is how to avoid giving the impression that the images all look the same -- just another minibrot with just so much more fractal variety around it. Today's image was found in the East Valley of the parent that results when 1.1 part of plain Z is combined with Z^11 and plain C is added, and it actually does appear at least a little different from what has gone before. But to be honest I must mention that the parent fractal is a Mandelbrot set with 10 east valleys, which are on its west-southwest side. Today's scene is located in the break between valleys 5 and 6. I named the image "Flight of the Bird", leaving it to the viewer to supply the exact identity of the 'bird'. I rated the image at a 7 -- FOTD average. The calculation time of 44 seconds is almost breathtakingly fast, so if shortness of breath becomes a problem, the finished image is or soon will be available for instant pleasure on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The image will bring some pleasure, but it will not answer the question of why there is something instead of nothing. A warm muggy day on Saturday with a temperature of 84F 29C was given variety by a short but sharp shower at 6pm. The fractal cats do not worry about rain, so they slept through the event. My day was relaxing. If all goes well, the next FOTD will likely be posted in about 8 hours. If not, the wait will be longer. Until whenever, take care and worry not. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Flight_of_the_Bird { ; time=0:00:44.10-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.1254246947312831/-0.038926514109924/\ 6.77158e+011/1/10/0 params=1/11/1.1/1/0/0/0/0 float=y maxiter=800 inside=0 logmap=74 periodicity=10 mathtolerance=0.05/1 colors=00003B04C05D06E07F08G09H0AI3BK5CM7DO8FQBPVD\ V`F`zHpzIzzRpz_dzoBEY8MH5U03aTT`XUa`VbdWcgXckYdoZe\ c_i0`mHSgYJanAXlDBiMLfUVcac`imYqvXroWrhVsaVsVUtOTt\ HSuASu4Wq8_mCbiGffJibNmZRpWUDuQLpWSk`_fefajj_hnZfq\ YduXbxWasUboScjQdfOeaMfYKgUJhWFcXC_Y8WZ5S_2OZ5MZ8L\ YBKYEJYHIXKHXNGXQFPctQeoQgkRifRkbXgfacif_mkWppSsqQ\ jqObqMVqKNvRdzXu_iU9u3X_cUbbSeaPhaNk`Kn`Iq_FtZcMZZ\ NSUPK`BQS19dMb`OZXQVSSROUNKWJFYFfMbdNZbOW`QSZROXSL\ VTHTVDQaf6sggMeeOddPcbRcaSb_UaZV`XX`WY_U_ZT`YRbYQc\ XOeWMgVfLcdM`aNY_OVXPTVQQSRNQRKOSHLTFJUCGV9EW6BX3d\ Nb_Q_VSXQVULXRG_OXdZLyRgOafSXeVTdZOcaKbeFahB_l6hNe\ hQehTehVehYeg`djJelGfnDgpAhr7ijTXmaNojDrs3gNefQeeT\ edVecYeb`eabe_eeZheYjeXmeVRdTTZzzTzzNzzHzzIzzJzzKz\ zOzzRVzVRzYNz`IzdEzgAzjBzgCzeDzzEzzEzzBzz9zz7zz5zz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzztzzqzzozzlzzjzzgzzezz\ SzzEzzLzzSzzZzzdzzUzz`zzg } 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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25-07-09 (Northeast Bride [No Rating])
by Jim Muth 24 Jul '09

24 Jul '09

FOTD -- July 25, 2009 (No Rating) Fractal visionaries and enthusiasts: Friday turned unexpectedly busy here at Fractal Central, leaving almost no time for a proper fractal, much less a new type of fractal. What we have is an almost-Julia set with a bridge across its center. This bridge is a side view of the north branch of the valley leading to the period-4 bud on the north- east shore line of the main bay of the Mandelbrot set. The wedge-shaped valley has become a stripe with parallel sides because, regardless of where the Z-points are initialized in the Mandelbrot set, they eventually settle into the same orbits. I have no time for the technical details so just take my word for it. The image is a harmless one -- a Julia outline with a blue stripe running diagonally across the center. The area north and east of the stripe has many spirals, all spiralling clockwise, while the area south and west has only vague hints of spirals, and these are spiralling counter-clockwise. Checking the orbits will show that the northeast half of the area inside the Julia outline lies inside the period-4 bud; the southwest half lies on the outside. Some of the orbits are quite interesting. I leave it to the individual fractalist to find these orbits. I named the image "Northeast Bride". I had intended to type the word 'bridge' but typed 'bride' instead. I kind of liked the error, so I decided to let it remain. As for a rating, forget it. How many who have remained with the list all these years are really thrilled by seeing such trite images? At least the calculation time is reasonable. Who can complain about a calculation time of under 2-1/2 minutes? And if there are any who do complain, relief may be found on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished image is or soon will be posted. Hazy sun but otherwise pleasant weather prevailed here at Fractal Central on Friday. An afternoon threat of rain proved to be a false alarm. The fractal cats approved of the dryness and temperature of 82F 28C. My day was very busy, even with FL helping. There is a 50- percent chance that the next FOTD will be posted in 24 hours. The other 50 percent is that we decide to take the day off. Until whenever, take care, and something very important is happening unseen just beneath the surface. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Northeast_Bride { ; time=0:02:26.10-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 passes=t center-mag=-0.00921296/0.0053159/1.11/1/-105/0 params=90/90/92/89/0.241/0.512/0/0 float=y maxiter=25000 inside=0 logmap=-3 periodicity=10 colors=000UV9UVCUWEUWGVWIWWLWWNXXPYXRYXUZXW_XY_X_`\ VY`UXaSWaRVaPUbOTbMScLRcJQcIPdGOdFNdHMgIJiKHkMFmOD\ pQBrS9bazbazbazbazbbzbbzbbzbczbczbczbdzbdzbdzbdzbe\ zbezbezafzafzafzagzagzagzahzahzahzahzaizaizaizajza\ jzajzakzakzakzakzalzalzalzamzamzamzanzanzanzaozaoz\ aozaoz`pz`pz`pz`qz`qz`qz`rz`rz`rz`rz`sz`sz`sz`tz`t\ z`tz`uz`uz`uz`vz`vz`vz`vz`wz`wz`wz`xz`xz`xz`yzayzb\ yzczzdzzezzfzzgzzhzzizzjzzkzzlzzmzzmzzmzzmzzmzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzznzzozzpzzqz\ zrzzszztzzuzzvzzwzzxzzyzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:SliceJulibrot2 {; draws most 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)+c |z|<=9 } END PARAMETER FILE=========================================

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24-07-09 (Star Nursery [8])
by Jim Muth 23 Jul '09

23 Jul '09

FOTD -- July 24, 2009 (Rating 8) Fractal visionaries and enthusiasts: Something in today's image reminds me of a cosmic dust cloud, which is also a star nursery. And that's what I named it. The parent fractal is nothing -- the blank screen that results when the (1/Z)+C fractal starts to morph into the Z^2+C fractal. But the blankness turned interesting when I tried the 'bof60' inside fill on it. It turned interesting enough, in fact, that the resulting image earns an 8. If I had more time to work on the colors, I might have brought the image up to a rating of 9. The result of calculating the included parameter file is worth the 8 minutes or so it takes to do the calculation. And if 8 minutes is too long to wait, the finished image is available for immediate viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Heavy clouds, high humidity and showers of rain kept Thursday from being acceptable to the fractal cats of Fractal Central. The temperature of 82F 28C was fair enough, but the cats demand sun. My day was unusually busy. When I fell behind however, FL stepped in to bail me out. The next FOTD will be posted in 24 hours. Until then, take care, and don't ask 'what'. These questions are too easy. Ask 'why'. These questions are far more difficult but far more satisfying. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Star_Nursery { ; time=0:08:09.33-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideJulibrot passes=1 center-mag=1.6021/13.942/5.9192/1.1171/-17.1932875\ 494030064/-6.00330107850168204 params=86/0/86/0/\ -0.77/0/0/0/-1/1 float=y maxiter=1500 inside=bof60 logmap=yes periodicity=10 colors=000zzzmszcfzUXmKShKNcK5AK0AK0AK4AP7JUCGYGDa\ KBcNJePPgQSiRVkRYmR`mRdmRemRemRfmRfmRgmQgmPfmNdmKb\ kJ`iIYgHVfGTeFSfDSh1Tj6WlBYnG`pIbrLetOgvRjxUlyXnvZ\ _sQLpI6mHCkGHhFMfERdDWaC`_BeYAjaDddG_gJVjMQmOLpRGs\ UBvX6yZ1tV3oR4kO6fK7aG8YDAT9BO5CK2EF0FB0GJ5`REuPCt\ NAtL8tJ6tH4tG3tccih_ZmWOrTEgYEYbENgEDkEHjIKiLNhORg\ SUfVXeY_d`ccdfbgiajl`mp_qsZtvYwyYztXypXxlXwhXvcXu_\ XtWWsSWrNWqJWpFWoBWn7WnAVlDUkFUjITiKThNSfPSeSRdVQc\ XQb_P`aP_dOZfOYiNXkNW`FUQ8SF0Q40P90NE1MI5LN9JRDIWG\ H_KGdOEhSDmWCqZBr_Fr_Is_Ls_Pt_St_Vt_Yu`TvaPvbLwbHx\ cCxd8ye4ye0nZ7dSDVLKLEQB8WDAVFBVGCVIDUJEULFUMGTOIT\ PJTRKSSLSUMSVNRXORYPR`MTcJVeHWhEYkB_m9`p6br4co5`l6\ Yi7Vg8Sd9Pa9MZAJXBGUCDRDAOE7ME5LE9KEDJEHIELHEPGETF\ EXEE`DEdCEhJMkPUnWaqaisaUkaFda0Y_1ZZ2_Y3_X4`W5aV5a\ U6bT7bS8cR9dQ9dPAeOBfNCfMDgLDgJCgICgHBgFBgEAgCAgB9\ gA9g88g78g57g47g13j37g5Ad } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots 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), aa=-(real(p5)-2), bb=(imag(p5)+0.00000000000000000000001), 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)/(z^(aa)+bb)+c |z|< 1000000 } END PARAMETER FILE=========================================

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23-07-09 (Water Lilies [6])
by Jim Muth 23 Jul '09

23 Jul '09

FOTD -- July 23, 2009 (Rating 6) Fractal visionaries and enthusiasts: Today's image is another venture into the multi-dimensional world created by the DivideJulibrot formula. Apparently I have already posted two previous versions of this formula, which are all slightly different, but hopefully will produce the same images from the same parameters. Even now however, I see a way to make the formula a bit faster, so I cannot guarantee that the version included in today's parameter file will be the final version. I named the image "Water Lilies" when it reminded me of water lily leaves floating on a quiet tropical pond. Actually, the image is very closely related to the fractal trees I occasion- ally post. The rating of a 6 indicates that I am not totally satisfied with the colors, but find them good enough to meet FOTD minimum standards. One thing that cannot be questioned however is the calculation time of 31 seconds. Such lightning speed can hardly be exceeded. Web surfers may view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Wednesday's weather proved to be routine here at Fractal Central. The hazy sun, temperature of 81F 27C and moderate humidity was neither good nor bad. The fractal cat Nicholas was bad however. Leaping onto the kitchen counter without looking, he spilled a carton of half-and-half. To atone for his misdeed he began lapping up the spilled cream, while Cassie cleaned the cream that dripped onto the floor. The day was otherwise uneventful. The next FOTD will be posted in 24 hours. Until then, take care, and where are all these indispensable wireless electronic devices coming from? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Water_Lilies { ; time=0:00:31.86-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideJulibrot passes=1 center-mag=-1.72942/0/12.8 params=90/0/84/0/-0.893\ 279/0/0/0/1.5/1.5 float=y maxiter=1500 inside=0 logmap=50 symmetry=xaxis periodicity=10 colors=000kU9iS6gP7cM7_I8WA8S59O19N8INFQMLZMSfMYnW\ d`ekNor9jq8eq8`q7zv7zp7vp6ro6mo5ho5eo5bm7_k8Xi9SgA\ NeBKcCNaDP`ESZGVXH_VIcTJeRKhPLjNMlMNmLNnLNnLNoLNpL\ NpLNpLNpLNoLNnLNnLNoLNnNImPEmRAlPBkNCjLDjJEiIFhGGh\ EzgCzfAzf9zgBMhCPiDRjEUkFWlGzmHzmFznCzmDzpGzmJz9Mz\ ANzCPzEQzGSzITzKVzMWzOYzQZzS`zUazWczYdz_fzahz`UzZU\ zYUzWUzUUzTUzRUzQUzOUzMUzLUzJUzHUzHUzGUzGUzFUzEUzE\ UzDUzCUzCUzBUzAUzAUz9Uz8UvPOreDmv2ir7fnCcjH_fMXbRU\ ZUQVUNRUKNUGJUDFU9JUgKUgMUhOXiPRjRLkTFlRFSPG6RH8TJ\ BVLEXNHZOK`QNbSPdUSfVVhXYdTX_OWVJVQEUL9SM9UN9WP9YQ\ 8_S8aT8cV7ebFgjOjrXmK3JP3QV3X`3de3kk3rq4zp4zn5zm5y\ k6yj7xh7xg8we9wd9wbAvaAv_BuZCuXCtWDtUEsSIoQMkNQfLV\ bJZYGbUEfPCkL9oG7sC4x7BrDIlKPfQW`XbVciPipJpwCwuCws\ CwpDwnDvkEviEvfEudFuaFu_GuXGtVHtTHtQHsOIsLIsJJsGJr\ EJrBKr9Kq6Lq4Lq1Mp4Mp8LpCKqGJqKJrOIrSHsVGsZFsbFtfE\ tjDunCurBvrCsrDprEmrGjjXC } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots 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), aa=-(real(p5)-2), bb=(imag(p5)+0.00000000000000000000001), 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)/(z^(aa)+bb)+c |z|< 1000000 } END PARAMETER FILE=========================================

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20-07-09 (Julia from the Side [8])
by Jim Muth 22 Jul '09

22 Jul '09

FOTD -- July 20, 2009 (Rating 8) Fractal visionaries and enthusiasts: Possible new formula alert! Today's curious image must take a back seat to an event that happened on this day 40 years ago, when a man first set foot on the moon. Yes, I know the exact date was July 21 in parts of the world, but why quibble? Back then, I was still in my wonder years, perhaps a bit wiser than a few years earlier, but I certainly had not yet realized the power of politics, nor had I reached my present state of cold cynicism. I thought I was lucky enough to have been born at the right time to see mankind actually begin the exploration of the solar system, just like in those stories I was reading and in the shows I was watching on TV. But something went wrong. After a few more dramatic journeys to the moon, the manned exploration of outer space (low earth orbit is not outer space) came to an abrupt end. Instead of expanding our exploration to the planets, we settled on developing a reusable shuttle that could do little more than enter low earth orbit. To ease the disappointment, we were told of all the scientific wonders that the shuttle program would bring, but so far, except for the Hubble telescope when it was finally brought into focus, the scientific wonders have been conspicuous only by their absence. Of course, the shuttle program gave us the international space station, a white elephant if ever there was one. It might bring some minor benefits eventually, though if so, I have yet to hear of them. And I now hear that once the shuttle program ends in a year or so, the space station will be considered junk, and unless Russia wants to take it over, it may be sent to burn up in the atmosphere over the ocean. It now looks like the space station was dreamed up only to justify the expense of the shuttle program by giving it something to do. What a waste of money! True, the dreamers are talking of men going back to the moon and even to Mars in a decade or two. Anyone who thinks this will happen should pay attention to the news. Where will the money come from? The current administration, which is very liberal with spending, can't even find the money for critically-needed health care reform, medicare and social-security, etc. Given the present dire economic conditions, what would voters think of spending trillions of additional dollars on a space exploration program? The answer is, 'don't even think of it'. I was not born too early to see mankind explore and colonize space, the sorry truth is that it will never happen, not in our lifetimes nor in the lifetimes of our descendants. An organiza- tion of space explorers exploring the galaxy in space ships is a fantasy. It always was a fantasy and always will be a fantasy. Some ideas are even more bizarre. Some say we could reach inter- stellar space by leaving our bodies behind like un-necessary baggage and making the trip with only our minds, which would need no life-support system, nor even a ship. It's too bad that this is also a fantasy. Would we ever spend money and effort trying to separate our minds from our bodies (astral projection) when science tells us that our minds are a function of our brains? And even if it were possible, how could astral explorers prove what they had discovered without people on earth wondering if the discoveries were mere fantasies of the explorers' minds? The things I say are negative and not at all hopeful, but they are fact. And one thing we must never lose is the courage to face the truth even when it is harsh and not what we want to hear. My one glimmer of hope is that some rational thinker will point out an error in my reasoning. Since no one is likely to do this, let's turn our attention to fractals, which don't really exist but can be explored anyway. I named today's image "Julia from the Side" because it's an almost-Julia set of an image created by the DivideBrot series of formulas, with a mixture of Z^101 and Z^2. The DivideJulibrot formula included in the parameter file might be posted for the first time in this FOTD. I'm not sure. The image is just different and curious enough to earn a rating of an 8. And the calculation time of an incredibly short 1-1/2 minutes only helps the rating. But as always, the most enjoyable way to see the finished image is to view it on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The near-perfect summer weather continued here at Fractal Cen- tral on Sunday, laying to rest any lingering fears about man- made climate change, AKA global warming, at least in this area, though I hear that the fears of warming are rising along with the temperature in Alaska. The high temperature of 81F 27C and blue sky filled with puffy white clouds made Sunday in the FC area seem like a holiday on one of the Hawaiian islands. Never having been to Hawaii, the fractal cats had no comment. My day was fair enough. FL was happy with the antique treasure she found in Benton yesterday -- a victorian lamp shade with lots of fringes. Unless we reach the stars within 24 hours, the next FOTD will be posted then. Until the next time, take care, and nothing negative I might say about space exploration will change the fact that I am certain that precognition does exist. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= JuliaFromTheSide { ; time=0:01:29.37-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideJulibrot passes=1 center-mag=0/0\ /0.5883363/1/-37.5/0 params=89.9999/0/89.9999/0/\ -2.3155315/0/0/0/101/1.5 float=y maxiter=1500 inside=0 symmetry=none periodicity=0 colors=0000Hh3Hf6HdFHbGIbIJaLK`OLaTMcZPceWblbbpibt\ oawq`zs_ztZqaddJjfKigKhhKhjKgkKglKfnKeoKepKdrKdsKc\ tKcsTYraSqiMprGpzBrsGtlKufPw_TyTXzNazGezAiy9kv9mr9\ oo8qk8sh8ud7wa7yY7zV7zPAlJCXDEHCIIBMJAQKAUL9YM8aN7\ eO7hO8eT8cX9aa9ZeAXjAVnATrCVsEWtGYtIZuK_uMavObwQdw\ SexUfxWhyYiz_kzalzbmz`jyZhwXfuWdsUbqS`oRZmPXkNUiMS\ gKQeIOcHMaFK_DIYCGXGHVJITNJSQJQUKPXLN_LMcMKfNIjOHm\ OFqPEtQCwQBvPEvPHvPKuONuOQuOTuOWtNZtNatNdsMgsMjsMm\ sMorNkqNhqNepNaoNZoNWpMVpMVpLUpLUqKUqKTqJTqJSrISrI\ SrHRrHRrHRpKWnN_lPcjSghVkfXod_scawqadlgggmibskYymT\ zoZtudizbgw`ftZepYdmWciUbfSabR`_P_XNZTLYQKXMIWJGVF\ EUCDT9FP8HM8JJ8LG7ND7PA7RBBTBEVBIXCLZCP`CSbDWdDZfD\ bhEejEilElnFppFsrFvqJsqMpqPnqSkpVhpYfp`cpc`pfZqf_q\ f_qf`rf`rf`rfarfasfbsfbsfbsfctfctfdtfdtfdrjiqmnpqs\ otwnpvnmvmjvmgvmdvlaulZukVukSukPujMtjJtiGtiDtiAtjD\ vkGwlIxmLynNznQzoSzpVzqXz } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots 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), aa=-(real(p5)-2), bb=(imag(p5)+0.00000000000000000000001), 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)/(z^(aa)+bb)+c |z|< 1000000 } END PARAMETER FILE=========================================

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22-07-09 (In Deep Trouble [5])
by Jim Muth 22 Jul '09

22 Jul '09

FOTD -- July 22, 2009 (Rating 5) Fractal visionaries and enthusiasts: Today's image shows a scene in a tiny remote valley deep in East Valley of the Mandelbrot set, at a level where unexpected things start to appear. The area is extremely difficult to color, and I managed only a barely adequate job. With no logmap in effect, the image becomes total chaos and basically worthless. The 'tdis' option does a reasonable coloring job, but slows down the calculation by a factor of near 100. The other outside options are useless. The coloring difficulty lies in the extreme iteration range, which ranges from a low count around 80,000 to a maxiter of 2,500,000. After several failed attempts, I set the logmap to an unlikely -3 to get the barely adequate effect in today's image. Though the scene lies in East Valley, no elephants or pop-eyed aliens are in sight. But the area is quite rich in minibrots, the largest of which, a rather twisted one, lies at the center of the image. The name "In Deep Trouble" refers to the image, not to any lingering unpleasantness here at FC. The rating of a 5 includes a 1-point penalty for the less-than-stellar coloring. The calculation time of 21 minutes is rather slow, and on some machines will run into several hours, so I recommend viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I sent the finished image on ahead, so it should be waiting. Things got pretty much back to normal here at FC on Tuesday, at least among the humans. The fractal cats were cranky for some reason, perhaps over the lack of sun and rather chilly tempera- ture of 73F 23C. The next FOTD will be posted in 24 hours, give or take a few. Until then, take care and be pragmatic. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= In_Deep_Trouble { ; time=0:21:05.64-SF5 on P4-2000 reset=2004 type=mandel passes=1 periodicity=10 center-mag=+0.2500121338008163/-0.0000000770449661\ /8.49238e+011/1/112.5/0 params=0/0 float=y inside=0 maxiter=2500000 logmap=-3 mathtolerance=0.05/1 colors=000Gt6Ft1zQGzNMzHPzNRzWWz`XzeYzk_vobpiaic_b\ _ZUUUNKMJDLE6N80N20N00P00R6CX9N`EYbIigPypVzpazofzp\ nzqszsuzoyzklzqRzr4wy0rz0ktC_`PPPRLCgH0y90Bz2Gz2Jz\ 1Lz1PU0TPcWU0UPcUU0UPcUU0UPcUU0UPccUcUPcPJE00U30`G\ 0gT3nb8tnHzzPzzYzzfzzozzyzzzzozzfzzYzzPzzHzz9zzHzz\ RvsZbbXWWgDJt02p02k03g44b63X94RA3NC2ID1EE0CI3BN49R\ 57X64`60e61e74g86g8BiBCiBEkBGkBJn9Kn9Mp9Np9RrATrAW\ tBZv9Vt8Rr6Mn5Ik2Eg2Ae04`02Z00X00R00P00L00I00E00I0\ 0PE6USIdkXnzkzzPDv6ir0zu0zy0zz9qzKizV`z`azd`zfXziU\ zlRznNyqMtvLrzJpzIozHnzGizBfr6eb1bQ0gPMtF`z2uzLqze\ oznnnnnnnjpoerpdtq`vtXyuVzuQzyMzzLzzGzzCzzAzz6zz1z\ z8zzHzzOzzYzzbzzlzzszzzzzzzzzzxzzszzqzzpzznzzrzzzz\ zzzzzzzzzzzzrzznzzfzz`zzUzzOzzIzzOzzUzzZzudvpipoog\ ggfaicXp_RvTJzUIvYJp_KiaJbgM`nQ_tRXzVWzWRzVMzXGzX7\ rYCR`L0kO0kO0nP3nR5pS8rVArVDtWGtYIvZLy`Ly_LyYLyVLy\ ULySLvOLvNLvLJvIIvGHtBGt8 } END PARAMETER FILE=========================================

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Re: [Fractint] Fastest Fractint Setup
by Vortex Swirling 22 Jul '09

22 Jul '09

Comments in line. > Vortex Swirling wrote:/ > > > > I have been wondering what makes for > > a fast Fractint setup nowadays?/ > > A real fast PC running straight DOS. :-) > > But I use two machines for the rendering of Jim's FOTDs: > Â• A 10-year old P3 running Win-98. > Â• An 7-year old P4 running Win-XP. Out of necessity, I built a new machine a few months ago. The processor is an Intel I7 920 2.66Ghz. It has 4 physical cores and 8 logical cores. > /> > > What I would like for the group to do > > is pick one of the FOTD's which is > > computationally intensive. Then those > > who'd like to participate generate said > > fractal and report times with a system > > description./ > > The recent "Seahorse Valley-12" has a rather lengthy calc-time. We > already know how long it took on Jim's machine. I tried this on both setups. On the DosBox setup (with cycles=max) it was taking north of 3 hours so I evoked the mercy rule and just stopped it. This was at 320x240. On Ubuntu 64 running xfractint 20.04.9 I completed in around 18 minutes. It would probably have been a bit faster but I kept messing around during the run. The screen size was the default of 800x600 so this is higher than Jim's 640x480. I check the Performance Monitor which running this and it was indeed using all 8 processors. Well that settles it, I will use xfractint. xfractint needs a little work but, if set up right it works. I can't seem to walk around directories without crashing so I make sure that the pars and formula I am working with are in the pars and formulas directories. The -geometry parameter doesn't seem to work and it is difficult to resize the screen and know what its going to be. I can't change maps. I can't do disk video. Sound doesn't work. Color cycling is not possible the way xfractint is written. However, it might be possible to load the gif in a seperate OpenGL application and, given the map as a parameter, be able to do the color cycle. The OpenGL application, "Antiprism", where I have done programming work can do it. (I didn't code the color cycling but the code for it was open source and free to be added in). > Too bad FractInt will not run on my double QuadCore 64-bit 16-MB RAM > machine. Up until a couple of months ago, it rated the highest in speed > doing similar fractal rendering tests in two other email lists. > / > > > > Also any tweaks or suggested improvements > > in system setup are welcome./ > > I can make a few when it comes to the Windows OS. There are so many > things that get established a certain way with the default settings. > And they really slow machines down. After months, I am still running Vista 64 with most of the defaults. This are so fast I haven't had to change anything. If it were to shave a minute off xfractint's time I probably wouldn't find it worth it. If it halved the time it would be different story. Roger

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21-07-09 (Fractal Telescope [No Rating])
by Jim Muth 21 Jul '09

21 Jul '09

FOTD -- July 21, 2009 (No Rating) Fractal visionaries and enthusiasts: Despite my questionable mood, there is a fractal for today. Its name is "Fractal Telescope" and it's pretty much the same as yesterday's fractal. If you enjoyed yesterday's image, you'll enjoy today's also; if yesterday's image left you bored, you'll be bored again today. But today's image calculates in only 10 seconds, so regardless of how you feel, little time will be wasted. If in doubt, view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Monday got off to a bad start here at Fractal Central when FL asked why I wrote such a negative discussion for yesterday's FOTD and suggested that I should learn to think in a more 'positive' manner. (She does read most of the FOTD discussions.) I told her that I assumed we would never again explore deep space because we lack the resources -- it's that simple. And being testy, as I always am during the early hours, I launched into a lecture about the overblown value of 'positive thinking'. 'All the positive thinking in the world will not get men to the other planets.' I added. Then, still annoyed by the original comment, a great old sci-fi movie, "The Day the Earth Stood Still", came to mind. In the movie, a visitor from an advanced race of space aliens tells us either to get our act together and stop fighting, or face total destruction. I speculated whether there might be a lot more truth in the old movie than we first imagined. I thought of some kooky conspiracy theories floating around. One of them is about a 'Galactic Federation', of the advanced races in the galaxy, which is closely monitoring mankind's behavior. When they saw us successfully reach the moon, they became alarmed and feared we might soon spread our violence to the other planets of the solar system and eventually the stars. To protect themselves from our violence, they secretly ordered our government to end the moon landings at once and abandon all future plans for manned deep-space exploration. This is why the Apollo program was terminated prematurely. The aliens then restricted our manned space efforts to low earth orbit, where we could do no harm, and kindly permitted us to develop the space shuttle to give us something to keep us occupied. We would not be permitted to return men to the moon or send men to the other planets until we learned how to live in peace among ourselves. Then, almost believing my own words, I said we have failed miserably, and as a result the aliens have ordered us to destroy the space station, which was to have been our stepping stone to the stars. 'But hope is in sight,' I added. The aliens will soon appear openly and reveal the truth about life throughout the galaxy, which we now are aware of only as the various beliefs of the religions. Hopefully, when we know the details about things now considered supernatural and are given proof that these things actually exist, we will have no further reason to fight about our different religious beliefs. Soon after that, we will all start to love one another, everyone will be equal, no one will be in need, etc. etc. etc., and we will be permitted to join the Galactic Federation and, as inhabitants of the galaxy, travel to the stars. At this time, FL told me to come to my senses, and I told her that she was now the one thinking negatively. She got offended, went into a sulk and sulked for most of the day. Due to much higher humidity, the seasonal temperature of 81F 27C here at Fractal Central on Monday felt more unpleasant than the same temperature on Sunday, when the air was dry. The fractal cats' inner thermometers must have registered the humidity, for they spent the afternoon stretched to almost their full lengths of about one meter. With FL sulking, my day was unusually quiet but not all that unpleasant. The work was out of the way by mid-afternoon, and I spent the rest of the day watching reruns of the moon landing. Unless a man lands on the moon before tomorrow around this same time, the next FOTD will appear on schedule. Until then, take care, and do I really believe in an alien conspiracy to confine mankind to the planet earth? That's for the wise to know and the others to guess. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Telescope { ; time=0:00:10.06-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideJulibrot passes=1 center-mag=0/0\ /0.591666/1/-31.5/0 params=89.99/0/89.99/0/-1.9119\ 5247/0.64047271/0/0/101/1.5 float=y maxiter=255 inside=0 periodicity=10 colors=000_9RS8TJ7VB6X35ZBAbJEfRJjZNnfSrnWvv_zzz_z\ zKzvKzsKypKxnKwlKujKshKqfKodKmbKk`KiYKgWKeUKcRKaPK\ _MKoYZqYcsYhuXmvXrwWzxWzyWzzVzzVzzUzzUzzUzzDzzDzzD\ ziDTgCUeBUcAUa9U_8UZ7UY6VX5VZ4V`3Va2Vc1Ve0Vf0Vh0Sj\ 0Ok0Lm0Io2Fp4Cr6As8AqAApCAoEAnGBmIClKDkMFjOHiQIhQJ\ gQKfRLfRLeRMdSNcSObSPaTQ`TR`TR_TSZUTYUUYUVXUWWVXVV\ YUVZTW_SW`RWaQXbPXcPXcOYdNYeMYfLZgKZhiDPhAPRn4Qj4Q\ f4Qc4P_4PX4PU4PV4RSYUVg5__Fe`Oe`Xdaedahb_k`YnZWqXV\ tVTwTRzSQLU_NWYPYXR_VTaUVcSXeRZgQ_aN_XK`SH`ME6tf4u\ kC0XKpIaHBaC8dGBfJEiNHkQJmTMpXPr_StbUqPSoCQr9Ku6Fx\ 3AvDLuMWsVfrcppdhNl9KnFHoLEpQCrW9s`od`neTmeLleEmgJ\ niNokSolWpn_qpdrrhrslskascSibS_bSQaSHaSSTTbKUmBVx2\ Ww6_wAbvEevIhuMkuPnnWqgbs`hvU0xNuzHXoC8d8Ma4_Z1lWA\ n`JpeSrj`snVsqPstKswLsvh0SMruMquNqtNqtOpsPpsPorQor\ QoqRnqSnpSmpTmoTmoUlnUlnVkmWkmWklXjlXjkYikZijZij_h\ i_hi`gh`ghaggbfgJmCNiEReH } frm:DivideJulibrot {; draws 4-D slices of DivideBrot Julibrots 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), aa=-(real(p5)-2), bb=(imag(p5)+0.00000000000000000000001), 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), c=p+flip(q)+p3, z=r+flip(s)+p4: z=sqr(z)/(z^(aa)+bb)+c |z|< 1000000 } END PARAMETER FILE=========================================

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More diode
by John W. 20 Jul '09

20 Jul '09

There's a LOT more to this par than I first thought, including these gaudy spirals which are spectacular, (I thought), when color-cycled. John W. } Indiode { reset=2004 type=formula formulafile=indiode.par formulaname=lndiogh corners=0.162666075843/0.162711833171/-0.00140221356379/-0.0013678955678\ 4 float=y maxiter=512 logmap=yes periodicity=0 colors=00000j0j0jj0j00j0j0jjkkkkrkdmwW000W0WW000WW0W0WWFNF<4>rNFzNFFVF<4\ >rVFzVFFbF<4>rbFzbFFjF<4>rjFzjFFrF<4>rrFzrFFzF<4>rzFzzFFFN<4>rFNzFNFNN<4\ >rNNzNNFVN<4>rVNzVNFbN<4>rbNzbNFjN<4>rjNzjNFrN<4>rrNzrNFzN<4>rzNzzNFFV<4\ >rFVzFVFNV<4>rNVzNVFVV<4>rVVzVVFbV<4>rbVzbVFjV<4>rjVzjVFrV<4>rrVzrVFzV<4\ >rzVzzVFFb<4>rFbzFbFNb<4>rNbzNbFVb<4>rVbzVbFbb<4>rbbzbbFjb<4>rjbzjbFrb<4\ >rrbzrbFzb<4>rzbzzbFFj<4>rFjzFjFNj<4>rNjzNjFVj<4>rVjzVjFbj<4>rbjzbjFjj<4\ >rjjzjjFrj<4>rrjzywccdWWWz000z0zz000zz0z0zzzzz } frm:LnDioGH{ Pd = 0.0000000000001 Gm = 0.00000000000094 Ids = 0.00000000252 Rs = 0.968 n = 1.752 Vt = 0.025 u = Gm*n*Rs*Vt+n*Vt Pt = n*Vt vr = Ids*Rs x = 0.1 x = x-((u*x*log(x)+vr*x*x-(Pixel+vr)*x)/(vr*x+u)) z = 0-(Pt*log(x)-Pixel)/Rs: u = z x = x-((u*x*log(x)+vr*x*x-(Pixel+vr)*x)/(vr*x+u)) z = 0-(Pt*log(x)-Pixel)/Rs |u-z| > Pd }

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New life
by John W. 20 Jul '09

20 Jul '09

Nice to see new fractals here. First "Diode" and now the rather fiery "BH_CubicMan" Thanks guys. John W.

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