July 2009 - Fractint - mailman.xmission.com

FOTD 19-07-09 (Clandestine Action [No Rating])
by Jim Muth 19 Jul '09

19 Jul '09

FOTD -- July 19, 2009 (No Rating) Fractal visionaries and enthusiasts: I might have expected FL to be bitten by the antiquing bug on Saturday, and so she was. We spent the entire afternoon at an antique emporium an hour away. Luckily, we got back to FC in time for me to find a barely adequate fractal. Today's image lies in the East Valley of a larger minibrot in the Z^(1.5)+C Mandeloid as it appears 100 levels up the logarith- mic ladder when no function is applied. The typical East Valley elements are there -- at least bits of them are there. Do not try to investigate the minibrot at the center. With the magnitude of the entire image already at a galactic 2*(10^12), the tiny dot at the center is well beyond resolution. The name I gave the image, "Clandestine Action", must have some connection to the image, though at the moment the connection eludes me. Rather than embarrass myself by rating the image at a lowly 4, I gave it no rating at all. The calculation time of just over 4 minutes is within reason, but an even more convenient way to see the image is to view it on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A near perfect day prevailed here in the Fractal Central area on Saturday, with enough sun and a temperature of a un-summerlike 73F 23C. Only a few too many clouds prevented the day from being absolutely perfect. The fractal cats were cranky after being left alone for the entire afternoon, but cheered up when their treat was served. The next FOTD will be posted in 24 hours. Until then, take care, and think positive in a negative manner. Or is it the other way around? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Clandestine_Action { ; time=0:04:03.31-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.05486496989607698/-1.832864340918919\ /2.453859e+012/1/-30/0 params=1.5/0/100/0 float=y maxiter=2400 inside=0 logmap=366 periodicity=10 mathtolerance=0.05/1 colors=000JGZKHYKIYLJXMKXMLWNMWONVOOVPPZQQcQRhRSmS\ TrSUvcWzoZzmhzzz00EI4FH7GGAHFDIEGJEJKDMKCPLBSMBVNA\ YO9`P8cP8bM9aKAaIA`GB_EC_CCZADY8EY6EXAFWDGVGGUJHTM\ ISPIRSJRVJQZKPaLOdLNgMMjNLmNKpOKsORmWYgbdbikXpqSwX\ hwCmwJjsPdoW_kaUgUQdKMQKHCEIGJJJOKMULPZMScNVfMShMP\ jLMlLJnLGpKDrKAtK7sN9rPBqRDpTFoVHoXInZKm`MlcOkeQkg\ RjiTikVhmXgoZgq_OpO5pC8lGBiJDfMGcPJ_SLXVOUYRR`TOcU\ NeVMfWLgXKhYJiZIj_Hk`Gl`FmeNfjV`naUsiOwjInaJeNJgMN\ iLRkKVmJYoIapIerHitGlvFpxEtyEwwDvuCutCurBtqBtoAsnA\ skCpiDngFleGibIg`JeZKcXM`VNZSPXQQUOSSMTQKUOIVRGWTE\ XVCYXAYZ8Za6_c4`e2ap1az9WzHQzTWzd`Izz3zz7zmAzmDrhG\ miJhiMcjQZkTUkWPlZKmaFmdBjeIizOczVdzabig`jnZktXlzY\ gzYbrYYnZTmZPlZKj_Fi_Ah_6f`8daAcbCacE`dGZdHYeJWfLU\ gNThPRhQQiSOjUNkWLlYKmZMn`NobOpcRqeUrfXshZtjculcvn\ cwpmxrmytmzvmzxmzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 18-07-09 (Knotted Trunk [5])
by Jim Muth 18 Jul '09

18 Jul '09

FOTD -- July 18, 2009 (Rating 5) Fractal visionaries and enthusiasts: Today's image returns us to the elephant menagerie. While wandering aimlessly through the zoo, I stumbled upon the strange elephant in todays image, which is one in a series of similar elephants lined up along the shore line of East Valley of a minibrot on the main filament of the fractal that results when the formula Z^(1.1892)+C is calculated 4 levels up the logarith- mic ladder. BTW, 1.1892 is the 4th root of 2. The elephant in the image, as well as the unseen ones on either side of it, has its trunk apparently tied in a knot, or at least a spiral. Actually, it takes quite a bit of imagination to see an elephant in the image at all. The most striking feature is the sawtooth pattern that pervades the scene, and the almost too intense colors. The name "Knotted Trunk" refers to the trunk of the unfortunate elephant in today's image. The rating of a very mediocre 5 indicates that I don't give a croak about the trunk. But the calculation time of 30 minutes is indeed a problem. The image is hardly worth the wait, so I recommend viewing the already finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> While stuck in a traffic backup today, FL found herself next to a car playing a Hip Hop 'song' at ear-splitting volume. A white woman was driving the car and FL was shocked at the violence and anger expressed in the shouted words. When FL returned to FC, she asked me how such unpleasant 'music' could be so popular. How, she asked, can people stay so angry that they enjoy listening to such stuff all day. Not wanting to get into a philosophical discussion, I went to the book shelf in my workroom, picked up the book "Patterns in the Void" by Sten Odenwald, and told FL to read the epilogue, which describes the rational but hopeless view of the world that I feel is largely responsible for the festering anger and depression that makes such violent music not only acceptable but actually fulfilling. But the last time I noticed, she had not opened the book. Clouds and light rain spoiled the day on Friday here at Fractal Central. The fractal cats enjoyed the much cooler temperature of 72F 22C. My day was average. The next FOTD will be posted in 24 hours. Until then, take care, and I hear that the aliens are softening us up so we'll be unable to resist when they arrive in force to carry us off as slaves. But then, why would an alien race so technologically advanced as to be able to navigate interstellar space need something as primitive as slave labor to do their menial tasks? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Knotted_Trunk { ; time=0:30:06.87-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandelbrotBC3 function=floor passes=t center-mag=-6.050216876515906/+7.990641684923723/\ 2289070/1/-140/0 params=1.1892/0/4/500 float=y maxiter=15000 inside=255 logmap=457 periodicity=10 colors=000Acw7cw4cw2cw5ev7fv9huBiuEjuGltImtKosNpsP\ qsRsrTtrVur`omejiYmkQomJqoOmZTiIYe1Xc3Xb5W`6W_8VYA\ VXBUVDUUEUTGTRITQJSOLSNNRLORKQRJRQKPQLOQLMPMLPMKPN\ IPNHOOGOOEOPDOPC_VBj_BudBvbCvaDw`Ew_FwZFxYGxXHyWIy\ VJyUJtb9ok0E`yD_vDZtDYqDYoCXmCWjCVhCVfBUcBTaBSZBSX\ ARVAQSAPQAPOEQQHQSLQUORWSRYVR_YR`aSbdSdhSfkThoTjrT\ luTmrUjpVgnWdlWajXZhYWfYTdZQa_N__KY`HWaEUaBSb8Qc5O\ c3Vf6`i9flCmoFsrIytKvqLtnMrkMohNmeNkbOh`OfYPdVPaSQ\ _PQYMRWKRXPVXUZYZbYbfZgjZlnZpr_nq`mp`loakoajnbirbk\ vcnzchzdesddqeciebic`ja_k_ZlYYlkcpxitwgrvepvcnuamu\ _ktYitWgsVfsTdrRbrP`qN_qLYpJWpHUoGToERnCPnANm8Mm6K\ l4Il3Hk5Gk6Gj7Gj8Gj9GiAFiBFdPFiCFhDFhEFhFFgGEgHEfI\ EfJEfKEeLDeMDeNDdODdPDWvEXtDXsDYqDYpDYnDZmDZkD_jD_\ iD_gD`fD`dDacDaaDa`Db_DbYDcXDcVDcUDdSDdRDtaAu`Bw_B\ w_CxZEyZGzYIzYKzXMzXOzWQzWRzVSzWTzYUz_VzaWzcXzdYze\ Zzf_zgazhczihzjmzkrzlzKFK } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 17-07-09 (Just Getting Started [7])
by Jim Muth 17 Jul '09

17 Jul '09

FOTD -- July 17, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today's scene doesn't make it as a work of fractal art, (Since when have the FOTD images ever been art?), nor does it bring an insight into some obscure mathematical conundrum. It simply shows some elephants pieces gathering into finished elephants. Now don't expect full-blown elephants to appear when you run the parameter file. The elephants in today's image are little more than their disembodied trunks. But the rest of the ponderous beasts are there, at least in spirit, faithfully mounting guard over their shrunken Z^(1.5)+C buds. The parent fractal is the Z^(1.5)+C Mandeloid as it appears 24 levels up the complex logarithmic hyper-spiral. Today's scene is located in a rudimentary East Valley that lies on the X-axis. I rated the image, for those who care, at a 7, which is FOTD average. The name "Just Getting Started" refers to the elephants, which are just now getting their act together. The calculation time of 1-1/6 minutes will pass in a jiffy. The time might seem a bit longer for those desperately impatient to see the image. These desperate few may view the image already calculated on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Summer finally arrived here at Fractal Central on Thursday as the temperature rose to 91F 33C and the sun sizzled down. The fractal cats paid no heed to the hot weather, spending the day in front of the living room fan. My day was as quiet as might be hoped but busy enough to keep financial worries at bay. The next FOTD will be posted in 24 hours. Until then, take care, and why are there trillions of trillions of stars in the universe yet only one of each one of us? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= JustGettingStarted { ; time=0:01:10.14-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=MandelbrotBC3 function=floor center-mag=+0.165500928/-0.005217105/1112.595/1/\ 28.8/0 params=1.5/0/24/0 float=y maxiter=4500 inside=0 logmap=34 periodicity=10 colors=000CCCAFE8HH6JK4LN2NP6PQARQDTRHWRLZSO`SScTV\ eTZhUbjUelVimVlnVjoWhpWfqXdqXbqY`pYZoZXnZVm_Tl_Rk`\ Pj`Oi`QhbSgcTfeVefXdhYci_bk`ala`jb_hcagccededegbfi\ afk_gmYhoXiqVipUjoSkoRlnPjlOghMcdKZ_IVVHRRFMMDIJCD\ HA9F85D7CBEJDLQHRWMYbRdiVjp_qvcwwazw_zwYzxWzxUzxSz\ xQzyOzyMzyKzzIzzGvzErzDmxGhwJcvMZtPUsSVrUWlYVg`Ubc\ TYgTTjSOmRJpRKmTLjVLgXMdZMa`NZaNWcOTeOQgPNiPLjPMgP\ MdPMaPM_PNXPNUPNSPNPPOMPOKPOHPOEPOCRMDTLDVJEXIEYGF\ _FFaDGcCGdAHf9Hh7Ij6Ik5IQWR5uZ7rX8oV9lTAiRBgPCdNDa\ MEZKFXIGUGHREIOCJMBGLHEKMCKRAJW8I`6Ie4Hj2Ho7NmBSkF\ XiKagOfeSkcWpbWpbXpbXpaYoaYoaZoaZo`_o``n``n_an_an_\ bm_bmZcmZcmZdmYijVelYelYflYflXglXgkXhkWhkWikW7iz8j\ z9jzAjzBjzCjzDjzEjzFjzGjzHjzIjzJjzKjzKjzLjzMjzNjzO\ jzPjzQjzUjzZkzckzhkzmkzrkzvkzzkzzkzzkzzkzzkzzkzzkz\ zkzzkzzkzzkzzkzzkzzkzzfzzgzzgzzgzzgzzgzzhzzhzzhzzh\ zzhzzhzzizzizzizzizz_zzYz } 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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Re: [Fractint] Diode
by JackOfTradeZ＠comcast.net 16 Jul '09

16 Jul '09

Brings back memories - I'm an electronix tinkerer from way back, nothing recent though, just computers etc. "" Why attempt this ; because a better , more interesting insight might be obtained . Has anyone on this list delved into this ?"" If anyone can code the diode equation into something the fractint formula parser can understand, and make a "diode" fractal, and it loox cool enuf, I will try to animate it. It seems that many natural phenomenon, (like chemistry, my profession), can be modelled to some extent with fractals, often leading to interesting and unexpected results. stay amazed!

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FOTD 16-07-09 (A Million to Two [?])
by Jim Muth 16 Jul '09

16 Jul '09

FOTD -- July 16, 2009 (Rating ?) Fractal visionaries and enthusiasts: Today's scene shows East Valley of the Mandelbrot set mixing with the true East Valley of the Z^(990000)+C Mandeloid. Some very unusual things are going on in the vicinity, and today's image is just the beginning. I'll probably have another FOTD along these lines in the near future. With a calculation time of 1-2/15 minutes, the image is a fast one, so little more need be said about it. The order-990000 and quadratic elements are quite apparent. The next step is to see the scene in person, and the best way to do this is to run the included parameter file or view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> I could not decide on a rating, so I rated the image at a question mark. The name "A Million to Two" means nothing beyond its sound. Wednesday turned out to be an average mid-July day here at Fractal Central, with partly cloudy skies and a temperature of 84F 29C. The fractal cats' behavior was also average. Since my day was average as well, little remains to be said, except that the next FOTD will appear in 24 hours. Until then, take care, and watch those alternate realities. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Million_to_Two { ; time=0:01:08.00-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot function=recip passes=1 center-mag=+0.999992197912849/-0.00005552426384695\ /1.380431e+008 params=990000/3.993 float=y maxiter=15000 inside=0 periodicity=10 colors=000jPijTeiYaiaYifUijQioMisIjpMkmPljTmgWnd_o\ abpZeqWirTlsQptNsuLvtGjsB_r6PkBTdGXYL_RQcKVfD_j7cm\ 5Uj4Kg3Ad8DfDGgIJhMMjRPkWSl`VndYoi`pncrsfswitvkovl\ jvmevn`vpWvqRvrMvsHvtCwvLxwTyyazzizymzzszzxzzzzyxz\ yrzxrzvszutvuurrsmoqimohjmghkfeiecgd`ecZdlNKjOUiPc\ C0uTDqVuSZmYaebeYhhhShZbCPCrAmnGmkLm8vfImhRej_Yl2E\ ZOKfOKKC25L8HTES`KbSCwAMW5UsvSzqRulQqFmDNgNUaW7kS8\ lR8mQ8nP8oO8oNApKBpHDpEEpCGp9Hp6Jp3Kp1Mn6OmBQkFRjK\ ThOVgTWfXV_WUUVTOUTITPFXMD_JBcG9fC6i94m62p30scz_cx\ ZcuYcrXcoWclVcjUchTcfScdRcbQc`PcZOcWNcUMcSLcQKcOJb\ MIaKH`IG_GFZEEYCDWACUCFSBHQBKODMMEOKGRIITHKWHMYHN_\ GPXGQVFRTFSRFTPEUNEVLDXJDYHDZFC_DC`BBa9Bb7Bc5Fc7Jd\ 9NdBRdDVeFZeHbeKffMjfOnfQrgSvgUzgWvfSrfOneLjeHfdEb\ dAZd7PXOFPd6Iu5Kq5Ln4Nj4Og4Pd3R`3SY3TV7VTBWSFXRIYQ\ MZPQ_OUaNXbM`cLddKheJkfIigHhgGfhFehEciDbiDaiC_jBZj\ AXk9Wk8Vk8cR_k6zjBujGqjKm } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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Re: [Fractint] F Diode
by JackOfTradeZ＠comcast.net 15 Jul '09

15 Jul '09

' ""After an extended search on the internet and considerable testing I'm now able to provide you with a preliminary model and fractint formula for a diode"" Please do - I will check it out. But I am confused. I remember from my electronics days (a long time ago) a diode is a semiconductor crystal which lets current flow one way but not the other, so it converts AC into a pulsing DC current. How does this relate to fractals?? .

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FOTD 15-07-09 (High-Order Radicals [No Rating])
by Jim Muth 15 Jul '09

15 Jul '09

FOTD -- July 15, 2009 (No Rating) Fractal visionaries and enthusiasts: Today's image is a scene very deep in the true East Valley of the Z^(1-million)+C Mandeloid. I chose the 'true' East Valley, which is the one on the positive X-axis, because this Mandeloid has 999,999 identical East Valleys, and the one on the X-axis is the easiest to explore. I was surprised to find such well-defined buds in the area, and I even found several sets of alien pop-eyes, but no matter how hard I searched, I could find no elephants. With 999,999 of them guarding every bud, it is little surprise they are so hard to pick out. As for minibrots, the entire image is a mass of them. In fact, in the more intricately detailed areas, the minibrots occupy more area than the normal 'outside' stuff. But because of their distortion, the minibrots are hard to recognize. The choice of an exponent of 1-million was totally arbitrary. Any exponent greater than 10,000 or so would have given a near identical image. This is one case where they all really do look the same. Since this kind of stuff is hardly new, I gave the image no rating. The name "High-Order Radicals" refers to the bud complexes. The calculation time of 12-1/3 minutes may be cut in half with only a tiny loss of detail by rendering the image with the passes set to 't' instead of '1'. But do not use passes=g. It guesses wrong far too often and really chews up the image. There is no guess work involved however in the trip out to the FOTD web site to view the finished image. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Think of absolutely perfect weather -- blue skies with a few decorative cumulus clouds, a temperature of 79F 26C, unlimited visibility, low humidity, gentle breezes, and you have pictured the weather in the Fractal Central area on Tuesday. The local youngsters, idealistic, naive, and apparently misled by the media hype, have been warning of an unbearably hot summer due to man-made climate change. But they are now starting to admit they were wrong. And the same local media that forecast an unbearable summer is now starting to call this year 'the year without a summer'. The clamor for legislation to fight climate change, whatever kind of legislation could possibly do that, is thankfully fading rapidly. The fractal cats don't worry about things like flooded coastal cities and palm trees in Nova Scotia. But they do worry about stray cats prowling the area and their next treats of tuna. Luckily, no cats were prowling around F.C. on Tuesday, and the treats appeared on schedule. My day was average, as are most days here at F.C. The next FOTD will be posted in 24 hours. Until then, take care, and what ever happened to Kamenoi Ostrov? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= High-OrderRadicals { ; time=0:12:20.39-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotN passes=1 center-mag=+0.999\ 9851854051747/-0.000000000003291/2.83e+012/1/-47.5\ /0 params=1000000/0/0/0/0/0 float=y maxiter=10000 inside=0 logmap=156 periodicity=10 mathtolerance=/1 colors=000m4Uk4Wi5Yg5_e5ac6ca5e_4gY4iW3kX3na2qf2tk\ 1wp1zm1vj1sg1pd1ma1jZ1gW1dT1aQ1ZN1WK1TH1QE1NC1KE3J\ G4JI6JJ7IL8INAIPBIQCHSEHUFHWGHXIGZJG`KGbMGcNFeOFgQ\ FiRFjSElUEnVEqYDoWEnUEmSElQEkPFjNFiLFhJFgIGfGGeEGd\ CGcBHb9Ha7H`5H_4Ha6Ib7Id9IeAJfCJhDJiFJkGKlHKmJKoKL\ pMLrNLsPLtQMvSMwTMxUMuYNraOoePliQimRfqScuT`xUauWbr\ YboZcl`dibdfcecef`gfYhgVjhSlhPmfOldOlbNlaNl_MlYMlX\ LlVLlTKlSKlQJlOJlMIlLIlJHlHHlGGlEGlCFlBFl9El7El2Cm\ 6El9FkCHjGIiJKhMLgQNfTOeWQd_RcbTbeUaiW`lX_oZZqWdr_\ ZrbUseOsiJtlDto8tr3qp4on5mm5kk6ii7gh7ef8ce9ac9_aAY\ `BVZBTYCRWDPUDNTELRFJQFHOGFMHDLHBJIz9KzIIzQHzYFzfE\ znCzu8zvBzvDzvFzvIzvKzvMzvPzvRzvTzvWzwYzw_zwbzwdzw\ fzwizwkzwmvwprwrmwthuscssZrsUpsPosKmsFksBjsBhsBgsA\ gsAisAksAms9os9qs9ss8vs8ws8ys8zs7zs7zs7zs6zs6zs6zs\ 6zs5zs5zs5zs5zs7zt9ztBztDztFzuGzuIzuKzuMzvOzvPzvRz\ vTzvVzwXzwYzw_zwazxczxezx } frm:MandelbrotN {; Jim Muth b=p1, z=p2, c=p3+pixel: z=z^(b)+c, |z| <= 16 } END PARAMETER FILE=========================================

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Fastest Fractint Setup
by Vortex Swirling 14 Jul '09

14 Jul '09

Hi All, I have been wondering what makes for a fast Fractint setup nowadays? I have two setups for Fractint under Vista 64. One is using DosBox. The other is xfractint running under Ubuntu 64 under VirtualBox. Both have their quirks, however each generates the various FOTD fractals correctly. They are just way slower than I'd expect them to be considering the hardware I have. 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. Also any tweaks or suggested improvements in system setup are welcome. Roger

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FOTD 14-07-09 (One Long Shoreline [8])
by Jim Muth 13 Jul '09

13 Jul '09

FOTD -- July 14, 2009 (Rating 8) Fractal visionaries and enthusiasts: What does today's image have to do with East Valley? It has everything to do. There are 12 east valleys in the image. The tip of the 12 spikes at the top of the scene are actually 12 of the 10-million east valleys spaced evenly around the edge of an order 10,000,001 minibrot. On my screen the spikes at the top of the image are about 3cm apart. Since there are 10-million spikes around the perimeter of this minibrot, its circumference must be 30-million centime- ters, which gives a diameter of about 10-million cm. Since there are 100,000 centimeters in one kilometer, the diameter of the entire minibrot at the scale of the image must be about 100 kilometers or 63 miles. No wonder the tiny bit of the minibrot that fits on the screen appears to have a straight edge. It's the same reason that the surface of the earth appears flat. Another curiosity is the detail inside the 12 spikes. At first glance, this detail appears to be identical in every spike, but actually it changes slightly in each spike. What an interesting trip it would be to circle the entire minibrot and watch the detail in the 10-million spikes gradually cycle through its series of changes. The elements at the top of the frame are made of order-10000001 stuff, which changes very slowly. The elements at the bottom of the frame are quadratic stuff however, and down here the changes come fast. And yes, there are countless smaller near-circular minibrots in the image. The most obvious one lies in the lower right quadrant. I named the image "One Long Shoreline" after the 300-kilometer shoreline of the minibrot whose edge appears at the top of today's image. I rated the image at an 8 because that's what I think it's worth. The calculation time of 4-1/2 minutes is well within reason. But if you decide to calculate the image, don't become concerned when nothing shows up for a minute or so. The top several lines are blank black. As always, the finished image is posted for immediate and total gratification on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Picture perfect weather prevailed here at Fractal Central all day Monday, while the fractal cats, Nicholas and Cassie, took it easy. (For the exact conditions, picture an absolutely perfect day at your favorite spot on earth.) At one point, Nicholas, apparently having forgotten the talk he had with the doctor when he was a kitten, got a bit frisky and started yelling like a lovesick tomcat. A quick serving of half-and-half settled him down and reminded him of what the doctor had told him. My day was un-eventful. With only a modicum of luck, tomorrow will be the same. The next FOTD will be posted in 24 hours. Until then, take care, and wouldn't life be dull if rational- thinking skeptics were right when they claim the paranormal does not exist? (Of course, this in no way implies that I think the skeptics are wrong. I *know* they are wrong, even though they are convinced they are right!) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= One_Long_Shoreline { ; time=0:04:30.40-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot function=recip passes=1 center-mag=-43.09731830432293/+56.66689961740695/\ 2.21687e+010/1/110.34/0 params=10000001/100 float=y maxiter=4000 inside=0 logmap=157 periodicity=10 colors=000`I4_H6YG8XFBVEDUDFSCGQBINAKLALIANGAQDARB\ AT7BV6DW5FY5I_5Lb5Ld5Nf5Og5Oj5Pm5Rn5So5Tn5Rn5Pl5Pk\ 5Ok6Ni7LgBLfDJdGIdIGbKGaNE_PD_SDYUBWV9VY7T_7Tb6Rd4\ Qf2Pi2Nk1Nn1Lp1Kq1It1Iv1Gy1Fz1Dz1Bz1Bz19z18z16z14z\ 16z16z18z18z19z19z19z1Bz2Bz6Dz9DzDFzGFzJFzNGyPGySI\ wSIwPKvNKvJKvGKtD4t90s60s20q10q42p78pBDnDInGLlJQlN\ VkP_kTbiWgiYlg`qgdtfgyfjzdkzblzdmzdnzdozdpzfqzfrzf\ szftyfuxgvvgwtgxqgxogxnixkixiixgixfixbkxakx_kxYkxV\ kxTlxRnxPpxNqxLsxKtxGvxFwxDyxBzx8zx6zx4zx1zx0zx0zx\ 0zx0zx0zx0zx0zx0zx0zx0zx0zx0zx0zx0zx0wx0px0gx0_x0Y\ x6WwFWvNVvVUtbSrkQplPpiNobSmV_lNglFpj0wi0zg0zg0ze0\ wd0rb0mb0h`0c_0ZY0UY0PW0KU0FU0AT09R09S0BS0DS0DS0ES\ 0GS0GS0IS9ISPKQbLOmLMmNKmPImPGmQEkPDkNDkLBkKBkK9kK\ 9kK7kKDbKDbKDbKDbKDbKDbKDbKDbKDVKDVKDVKDVKDVKDVKDV\ KDVKDVKDVKDVKDVKDVKDVKDVKDVKDVKDVKDVKDVKDVKDVKDVKD\ VKDVKDVKDVKDVKDVKDVKDVKDV } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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FOTD 13-07-09 (She Sells Sea-shells [7])
by Jim Muth 12 Jul '09

12 Jul '09

FOTD -- July 13, 2009 (Rating 7) Fractal visionaries and enthusiasts: Today's scene is located in the 30-pointed star in the rump of the period-30 elephant on the south shore line of East Valley of a parent fractal about halfway between a quadratic and cubic Mandeloid. Something about it reminds me of small shells lying in the sand at the surf line of a beach, so I named it "She Sells Sea-Shells", which is a well-known tongue twister. There is not much to be said about the image, which rates an FOTD-average 7. The calculation time of 6 minutes is also boringly close to average. The solution to this boredom is to surf to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the finished image there. Shortly after I posted the FOTD for July 12 on Saturday, all hell broke loose here at Fractal Central in central Pennsylvania as a whopper of a thunder-storm moved in with a tornado warning included. The fractal cats sought shelter from the crashing thunder in the most secure closet, while I watched the action from the front porch. It took 5 hours before things finally calmed down. Luckily, no tornado developed. The only damage was the usual fallen tree limbs, flooded streets, houses struck by lightning, power outages and flattened flowers in FL's garden. Sunday was absolutely perfect, with not a cloud in the sky, low humidity and temperature of 81F 27C. The next FOTD will be posted in 24 hours. Until then, take care, and where does dark matter go when the lights go on? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= SheSellsSea-Shells { ; time=0:06:04.26-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=NewDivideBrot function=recip passes=1 center-mag=+0.87205078572003780/-0.004897985853331\ 83/691947.4/1/-155/0 params=3/2.75 float=y maxiter=6400 inside=0 logmap=540 periodicity=10 colors=000BvXBsXBoXBlXBhXBeXBaXBZXAVXASXAOXALXAHXA\ EXAAXA7X55TA4XF4`K3cP3gU2kZ2nc1rh1vl1yi5wg8udCsbFq\ _IpYMnVPlTTjQWhOZgLbeJecGiaEl_7pWCoZHo`LobQndUnfZn\ ibnkgmmkmopmqtmsunnunjvofvobvpZwpVwqRwqNrjRmcUhYYc\ R`ZKdUEgP7kK1nI8iHFdFM_ETVC_QBeLFfOIgRMgUPhWSiZWia\ Zjdajf_hdZgcXfbWdaUc`Tb_RaZQ_YOZXNYWLWUKVTIUSHTRFR\ QEQPCPOBNN9MM8LL8LG7KK7JO7IS5IW7HV8HVAHUBGUCGUEGTF\ FTHFTIFSJFSLESMEROERPDRQDQSDQTCQVCPWCP`9RXCPTEOPHN\ LJLHMKHNKDOJGPLIQNLRPNSRPTTSUVUVXXVZZW``Ybc_dkafqe\ hzljzplvjktfkkbkjZkiXjiUjhSjhQjgOjfMifLieJieIidHhc\ GhcFhbEhbChaBg`Ag`9g_8g_7gaAecCcdEafH_hLYiOWkRUmUS\ nXQpZOr`MsbLrcMqdNqdOpePoeQofRnfSngTmhUlhVliWkiXjj\ YjjZik_il`hlagmbgmcfndjmbfndcof_pgXqiTrjQslMtmJuoF\ vpCwr9wsCtrFqrInrLkrOhrRfrUcrX`r_arbcreerhgrciq_kq\ VmpRopNqoIsoEun9wn5xm1ym2zj3zh3ze4zc4z`5zZ6zW6zU7z\ R7zPgz8bzCXzGSzKMzOHzSCzW } frm:NewDivideBrot { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z^2*fn1(z^(a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================

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