June 2008 - Fractint - mailman.xmission.com

Re: [Fractint] FOTD
by JackOfTradeZ＠comcast.net 08 Jun '08

08 Jun '08

. Animation of Jim Muth FOTD May 26, 2008 is posted: http://www.fractal-animation.net/vid/4dmorph_wmv.zip 9 MEG, 38 sec, WMV format .

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FOTD 07-06-08 (Count Fracula [6])
by Jim Muth 07 Jun '08

07 Jun '08

FOTD -- June 07, 2008 (Rating 6) Fractal visionaries and enthusiasts: A lot of flashy colors and a lot of filaments do not make a superior fractal. This description fits today's image, which rates only a 6. Today's fractal lies in the Z^(sqrt(2))+C Mandeloid as it appears 13 levels up the logarithmic ladder when no function is used. The most notable feature of the parent fractal is its incredibly long main filament. Today's scene is located deep in the East Valley area of the most prominent minibrot on this long zigzagging filament. There is a minibrot at the center of the image, though it lies far beyond the range of resolution. As it is, the magnitude of over 2*(10^12) is right at the limit, and requires the mathtolerance entry to assure that the parameter file calculates at the correct magnitude. I named the image "Count Fracula", though I can see little in it to connect it with that infamous monster. The calculation time of 5-1/2 minutes is about the fractal average. But it is always a convenient choice to view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A cloudy morning gave way to a sunny hot afternoon here at Fractal Central on Friday, with a temperature of 86F 30C. The fractal cats, feeling the heat, remained in stretched-out mode. My day was unexpectedly busy, which explains the hasty fractal. Tomorrow will be slower, hopefully resulting in a better FOTD image. That image, however good, will be posted in 24 hours. Until then, take care, and wait for whatever is coming. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Count_Fracula { ; time=0:05:34.44-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-2.587188090720521/-2.220584310407471/\ 2.104486e+012/1 params=1.4142/0/13/0 float=y maxiter=1500 inside=0 periodicity=10 mathtolerance=0.05/1 colors=000LESLERLFQLFPLFOKFNKFMKFLKFKKFJXaLhwM_0Z`\ 5W`AU`ES`JP`ONaSLaXJaaGaeEajCanAbmEblHblKbkNbkQbjT\ biWciZchachdcggcfjcfmcepces`hpYjmVljSogPqdMsaKuZHp\ VFlRDgNBcJ9_GCaHFbHHcIKdIMeJPfJRgKUhKWiLZjL`kL_hKA\ 3KG4KH5JI6JK7JM8JO9IQAISBIUCIWDHYEH_FHaGHcKGfNFjRE\ mUDqXCt`BxcAzf9zj8zm7zp7zsBzuEzvHzuKzsNzqQzoTzmWzj\ ZzgazddzagzZLzXNz_OzaQzcRzfSzhUzjVzlXvoYrqZms`iuaj\ wblxdmxfoxhpxjrxlsynuypvyrxytyyvWom3fe3dd3bd3`c3_c\ 3Yb3Wb3Ua3Ta3R`3P`3N_3M_7SaAXcDbeGggJmiMrkPwlZZOgB\ 0fA5eAAdAEcAJb9Nb9Sa9X`9`_8eZ8iY8nY8rX9nWAkWBhVCdV\ DaUEZUFWTGSTHPSIMSJJPNNNQQLUTIXWG`ZEcaBge9jh7nk4qn\ 2uq0xt8xoFxkMyfTyb_yYfzUmzQnzOnzNnzLozKozIozHozGpz\ EpzDpzBzzAzz8qz7zv6pr8qm9khAmcBmZImUPmZWcdbUjiKpp9\ vwBrrCnmEjhFgcHcZI_UKWPLTKNPFOLAPI5IGDCEL6CT0B`c_b\ XPSQFHK56P97UC8ZF9cJAhMBlPBmOCnOCoNCpNCqMCrMDsLDtL\ DuKDvKDwKDtJGqJIoJLlINMET } 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 06-06-08 (The Age of Silver [8])
by Jim Muth 06 Jun '08

06 Jun '08

FOTD -- June 06, 2008 (Rating 8) Fractal visionaries and enthusiasts: Today's rather superior image lies in the fractal that is produced by the formula Z^5+Z^3+C, a fractal that consists of two large bays, one stacked on top of the other. The southern bay is partially cut off; the northern bay is less eroded, but its buds have the distinct look of being non-critical, with spurious arms pointing toward the mouths of the valleys. In the fractal world however, looks are sometimes deceiving. I found today's scene on the southern side of the extra arm that fills the large western bud of the north bay. The rather impressive silvery color palette is mostly serendipi- tous. The Fractint program should get most of the credit for creating the colors with one strike of the <enter> key. I did nothing more than tweak a few color registers. The image actually consists of half-inside, half-outside stuff. The inside parts have been rendered with the inside fill set to 'bof61'. The rating of an 8 might even be a bit of an under-estimate. The name "The Age of Silver" refers to the unusual coloring. The calculation time of 2-1/3 minutes is a far better value than was found in yesterday's loser. Downloading the finished 'gif' image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> is always a winning move however. A hot muggy day here at Fractal Central on Thursday gave ample warning that summer is not far off. The temperature of 84F 29C and humidity of 70 percent confirmed the diagnosis. The fractal cats must have reached the same conclusion. In the afternoon they switched from sleeping curled-up to sleeping stretched-out. I switched from being busy to having free time as the day progressed. The next FOTD will be presented to the breathless world within 24 hours. Until then, take care, and wait with anticipation. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Age_of_Silver { ; time=0:02:40.38-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=-0.4553952426623336/+0.798314451690308/\ 2062443/1/-5/0 params=1/5/1/3/0/0/0/0 float=y maxiter=1500 inside=bof61 periodicity=10 colors=000gUOgVPgWQgXRgYSgZTg_Uf_Wf`XfaYfbZfc_fd`f\ eaffbfgcfhdfiefjgfkhflifmjfnkfolfpmfqnfrofspetrfsq\ fspfspfsofrofrnfrngrmgrlgqlgqkgqkgqjgpjgpihphhphhp\ ghoghofhofhoegqihpghoehndimbil`ik_jjYjiXjhVkgTkfSk\ fQkePldNlcLlbKmaIm`Hm_FnZDnYCnXAq`6pZ7oY8nX9mWAlVB\ kUCjTDiSEhRFgQFfPGeOHdNIcMJcKKbJLaIM`HN_GOZFOYEPXD\ QWCRVBSUATT9US8VR7WS3VR5WR6WQ7WQ8XP9XPAXOCYODYOEYN\ FZNGZMHZMI_LK_LL_KM`KN`KO`JPaJQaISaITaHUbHVbHWbGXc\ GYcF_cF`dEadEbdDceDdeDeeCgfChfBifBjgAkgAlg7lfAmgDi\ hGgiJdjMakP_lSWmVXnYUsZVp_Up`VpaWqbXqcYqd_re`rearf\ bsgcshdsietjgtkhtliumjumkunlvomvpovqpwrqwsrwtsxutx\ vvyuuxttwssvrruqqtppsoornnqmmpllokknkjmjilihkhgjgf\ ifehedgdcfcbebada`c`_b`Za_Y`ZX_YWZXVYWUXVTWUSVTRUS\ QTRPSQORQNQPMPOLONKNMJMLILKHKJGJIFIHEHGDGFCFEBDFCE\ GCEHCEHDEIDEJDEKDEKEFLEFMEFNEFNFFOFFPFFQFFQGGRGGSG\ GTGGTHGUHGVHGVHGgRLgSMgTN } 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 05-06-08 (Monster at Large [0])
by Jim Muth 05 Jun '08

05 Jun '08

FOTD -- June 05, 2008 (Rating -- No Way!) Fractal visionaries and enthusiasts: Today's FOTD is a living corpse. Due to a pile of rush work, I had no time to do a reasonable FOTD. The image should have been discarded along with the day's discussion. But, undecided as to what to do with the fractal, I flipped a coin and it came up heads, so I posted the image and took about 5 minutes to write these few words. What is there to say about an image such as today's, which is nothing more than a mass of angular color patches splashed on the screen. The two heptagonal shapes near the center are actually 7-sided holes brought to life by the 'zmag' inside fill. The name "Two of a Kind" refers to these two heptagons. I must admit that the calculation time of 9-1/3 minutes for such a junky image is a real rip-off. Avoid being rooked by viewing the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> One thing for sure is that I don't hesitate to attack my own work when I think it falls short. Heavy clouds in the morning led to over 2 inches, 56mm, of rain in the afternoon here at Fractal Central on Wednesday, while the temperature hung around a very muggy 72F 22C. The fractal cats made the best of the wet conditions. As today's ho-hum fractal shows, my day was very busy. But things should be slower by tomorrow, and the next fractal will most likely be a vast improvement. Until then, take care, and keep trying. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Two_of_a_Kind { ; time=0:09:18.54-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.991689647207679/-1.720847520343586/\ 1608193/1/90/0 params=-25.3/-1.1/-2.3/-11/0/800/0/0 float=y maxiter=1750 inside=zmag periodicity=10 colors=0007AX78W68V37V68U89TAASCBSEBRGCQIDQKEPMFOO\ FOQGNSHMUILWILYJK_KJaLJcMIeMHgNHiOGkPFkLBlNDmPFmRG\ nTIoVJoXLpZMq`OsfNrdOqbPpaQo_RnZRnXSmWTlUUkTUjRVjQ\ WiOXhNXgLYfKZfI_eH_dF`cEabCb_8ZaA`bBbcCddEeeFgfGif\ ImgHjhGhiFejFckEakDZlDXmCVnBSoAQpAOp9Lq8Jr8Hs7Et6C\ v1Bu4At6As9ArBAqEApGAoJ9nL9mO9lQ9kT9jV9iY9h_8gb8fd\ 8eg8di8cl8cn8blBbkDbiFbhHbfJaeLacNabQa`Sa_UaYW`XY`\ V_`Ua`Sd`Rf_Pi_Ol_Mo_Lq_JvaLw`Jt_IrZHpYGmXFkWDiVCg\ UBdTAbS9`R8ZUAWXBTZCQaDOdELfGIiHFlIDnJAqK7wN6sL5pK\ 5mJ5jI5gH5dG5aE4ZD4WC4SB4PA4M94J73G63D53A437334231\ 1333544655867978B89C9BEACFCDHDFIEGKFHLGJMHKOILPJNR\ LOSMPUNRVOSXPTYQV_RW`SXaQY_PZYO_XN_VM`UKaSJaQIbPHc\ NGcMEdKDeICfHBfFAgE8hC7hA6i95j75j34j64j94jB4jE3jH3\ jJ3jM3jP2jR2jU2jW2jZ2ja1jc1jf1ji1gk0dm5amFZmPWmZTm\ hQmrNkwKivHguFgtIhsLirNjqQjpTkoWlnZmmamlcnkfojipil\ phoqgrpgvnftk`khUcgKUbAK_ } 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 04-06-08 (Monster at Large [5])
by Jim Muth 04 Jun '08

04 Jun '08

FOTD -- June 04, 2008 (Rating 5) Fractal visionaries and enthusiasts: The more I watch those popularized 'science' programs on the leading 'science' channels, the more misinformation I notice in the shows, and the more I wonder who, if anyone, is checking the accuracy of the things presented as demonstrated fact. As a single example, on a recent show where the topic was condi- tions on other worlds, the narrator was describing the condi- tions we would find if we were to land on the surface of Titan, the giant moon of Saturn. Titan is thought to have weather much like earth's, with a surface covered with seas of cold liquid methane, which falls as showers from rain clouds as water does on earth. The narrator said that there is enough liquid fuel on Titan to power the earth for millions of years. This much seemed true enough, but then he said that if anyone were to strike a match on Titan, the entire moon would instantly burst into flame and burn into a barren airless world like our own moon Luna. When I heard this, my first thought was how fortunate it is that no lightning exists on Titan, and then I thought about how unlikely a total lack of lightning would be in an active plan- etary atmosphere with precipitation like earth's. But then I remembered that fuel such as methane burns by combin- ing chemically with oxygen, which on Titan must be as hard to come by as methane is on earth. On Titan oxygen would be the fuel! A resident on Titan would look enviously to earth and marvel at how energy-rich we are. On Titan, if it were possible to strike a match in the cold methane atmosphere, the match would sputter and instantly be snuffed out. It would not cause the entire planet to explode. Let's get our science straight, guys. In addition to wondering about inaccurate statements, I also wonder why the 'science' oriented channels load their schedules with so many programs about possible catastrophes, such as 'the asteroid strikes earth, civilization collapses and mankind is exterminated'. Maybe when people worry they buy more of the sponsors' products, but that's another story. Today's comparatively harmless fractal is unlikely to cause such worry. I found it lurking in the parent fractal that results when the formula Z^(1.237)+C is calculated 11 levels up the abstract logarithmic hyper-ladder when no function is used. This parent fractal resembles some kind of monster stretching out its filamentary arms to engulf the unwary fractalist. Today's image is located in the monster's right filament-arm. I named the image "Monster at Large" after this monster of my fancy. I rated it at a 5 because I don't particularly enjoy monsters, especially of the fractal kind. But the brief calculation time of 1-1/2 minutes is nothing to be afraid of. And if even this is too slow, the finished image may be accessed instantly on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Tuesday morning was fair enough here at Fractal Central, but clouds arrived during the afternoon, disappointing the fractal cats. The temperature of 81F 27C felt quite muggy due to the high humidity. My day was busy but thoughtful. All I needed was a subject fit to ponder. The next in the FOTD series is due to be posted in 24 hours, and the odds that this will actually happen are favor- able. Until next FOTD, take care, and settle your thoughts. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Monster_at_Large { ; time=0:01:34.64-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.0153683212424909/-1.580096717232355/\ 1.376627e+011/1/-37.5/0 params=1.237/0/11/0 float=y maxiter=1750 inside=0 logmap=165 periodicity=10 colors=000cLmhY5wh0ca2UX3QS6NP9JKCGHF8DH6DF3CE5CDD\ BCKBARAKUAKWAKYAK`AKzA0mAUmm0mBUzP0mCUmCUzD0`DK_EK\ ZEKYFKXFKWGKVGKVGKPFUKFUFFUAFU5FW0FY3GW5HV8ITAJSDK\ QFLPIMNKNMNOKPPJSQHUQGZNJcLMhJOdLR`NTYPVURYRT_NUaK\ WcGYfD_h9aj6bl5ce4c_3cU9eQEfNKgKPiHVjD_kAem7jn4oo1\ lhAjbJhXReQ_cKhaEpdGqgHriIslJtnKuqLvsMwoPtlRqiTofV\ lcXi`ZgY`dUbaRd_OfXZpXXmVWjTVgRUdPTaORZMQWKPTIOQGN\ NFUTG_YGecHkhHohGrgGugFxgFviEukDslCrnCpoBoqAmr9lt9\ kv8iw7hy6fz6ez5cz4bz3az3bz2cw2cr2dn2ei2ee2f`1gX1gS\ 1hO1iJ1iF1hE0gD0fD0eC0eC0dB0cB0bA0bA0cB1dB1dB2eB2e\ C3fC3fC4gC4gC4YNOOXfRRjTXhVagWfeYld_qb`vaXn`Uf`Q_`\ NS`KL`ONaRPaURaXSb_UbbWbeXchZck`cnadqcdtedwfdnieek\ eXmeOpfFrf6tfArhEpiInjLrpNvuPyzRvvTtrVqnXokZlg`jcb\ g_deXfcTh`PjZLlWInUEpRArP6tN3pM7mLBjKEfKIcJM`IPYHT\ UHXRG_OFcLFfPGdTHcXIb`JadK`hL_lMZjPWXOGWLDWJ9WG6WE\ 3UF8TFCRFGQFKOFONFSTKMYPG } 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 03-06-08 (Ultimate Reality [4])
by Jim Muth 03 Jun '08

03 Jun '08

FOTD -- June 03, 2008 (Rating 4) Fractal visionaries and enthusiasts: An unexpected rush job came in Monday morning, which kept me occupied most of the day, leaving but little time for fractal work. But I did find something in the parent fractal of the past two FOTD's that barely passes muster as FOTD for June 3. The image is located in the handle of the fan of the parent, and required the outside to be set to 'fmod' and the inside to be set to 'bof61' before it barely made the cut. After a minimum of thought, I named the image "Ultimate Reality" and rated it at a 4. The name implies that the 'ultimate reality' of existence is as much a myth as a 'perfect fractal'. The standard image of God (invisible magician in the sky) falls short of being any kind of ultimate reality. The physical material universe falls even farther short. (We can no longer even be certain it's still there when no one is looking.) And the universe of fractals, ruled by its god the Mandelbrot set, is barely in the running. Pseudo-philosophy aside, today's fractal is not only a less than stellar one, it is also a rather slow one, taking 18-1/2 minutes to calculate on the fastest machine. Luckily, I have sent the image on ahead to Paul at the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it is posted for instant enjoyment or ridicule. A near perfect day prevailed Monday here at Fractal Central, with lots of sun, low humidity and a temperature of 79F 26C. The fractal cats approved of the conditions by sleeping most of the afternoon. My day was quite busy, which accounts for the less-than-stellar FOTD. But tomorrow should be less busy, which should allow for an improved FOTD. Until that moment arrives, take care, and reality is every bit as real as you need it to be. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Ultimate_Reality { ; time=0:18:32.08-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.1595341138996228/+0.023810643049471/\ 1.958369e+010/1/-176/0 params=-11/-1.1/-1/-11/0/\ 380/0/0 float=y maxiter=12000 inside=bof61 proximity=1 outside=fmod periodicity=10 colors=000pjFpkEplDpmConApmCpmDpmEplFplGqlHqkIqkJV\ VdqjLrjNrjOriPriQriRriSshTshUshVsgWsgXtgZtf_tf`tfa\ tebuecuedudeudfudgwcjudhsefqfeogcmhbki`ij_gkYelXdl\ VbmU`nSZoRXpPVqOTrMRsLPtJOtINrJNpKNoLNmLNkMNjNMhOM\ fOMePMcQMaRM`RMZSLXTLWULUULSVLRWLPXLOXMMYNLYOKYOJY\ PIZQHZQGZREZSDZTC_TB_UA_V9_V8_U9`UA`UBaUCaUDbUEbUE\ bUFcTGcTHdTIdTJeTJeTKeTLfTMfTNgSOgSPhSPhSQhSRiSSiS\ TjSUjSUjRTiRShRRhRRgRQfRPfQOeQOeQNdQMcQMcQLbPKbPJa\ PJ`PI`PH_PH_RKXSMVUPTVRQXUOYWMZZJ``HacFceCdhAej8BY\ uCWrDVpDUmETkFShFRfGQdHPaHO_IMYILXJKVKJUKITLHQMGOM\ FLNEJNEHOGJPIKQJMRMNSNOSPQTQRUTSVUUWVVWXXXYYYZZZ_`\ _aa_bb`cdaeebfgcghdhidjkeklflmgnohophpriqsjstktvlu\ wlvxmwwnwxowypwzqwzqwzqwzqDNqENqFMqGLqHLqIKrJKrKJr\ LIrMIrNHrOHrPGrQGrRFrSEsTEsUDTVjsWClXcsYBsZAs_As`9\ yZ3s`9maEgcKadPXeUYfTYfSZgRZgQZgP_hP_hO_hN`iM`iLai\ LajKreLrfKqfJqgIqhHqiHqjG } 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 02-06-08 (Eight Hooting Owls [8])
by Jim Muth 02 Jun '08

02 Jun '08

FOTD -- June 02, 2008 (Rating 8) Fractal visionaries and enthusiasts: Warning! Expect no answers in this discussion, only questions. There is a second fractal 'artist' here at F.C., one known as F.L., who usually prefers to lurk invisibly in the background, but sometimes says things that start an all-day line of thought going in my head. On Sunday she happened to catch a glance of today's image, and asked "why do the numbers you picked make a fractal that looks like a circle of eight owl's faces and not something like an icy tree?" I replied, "for the same reason that one plus one equals two and not three." But this is no answer at all. One plus one equals two because that's the way it is and it couldn't possibly be any other way. (I think it took B. Russell about 50 pages to prove that one plus one equals two, shortly before the whole point of his immense work was disproved by Godel.) But it's far different to state that one plus one must equal two than to state that today's fractal parameters must always equal a circle of eight figures vaguely resembling owl's faces. The first fact is intuitively obvious, the second must be accepted on the faith that the computer's fractal math routine calculates unambiguous truth. (Something I am not at all certain of.) During my no-longer-short life, I have 'wasted' countless hours trying to visualize the fourth dimension, and just as many hours wondering about things such as why I was born at a certain time to live a life as a U.S. citizen, and not 800 years ago to live a life as a nomad in Outer Mongolia or even as a deer to be devoured by a lion in central Africa. I also find it quite incredible that the universe should at this very moment be in the infinitesimal slice of time in which I will exist to observe and wonder about it. It must be true that a fool such as I can invent more questions than a wise man can answer. But this is not all. In addition, I have recently concluded that the perception of an outer universe (reality if you will) of three spatial dimensions is a function of the level of consciousness of humanity. As to why I am the person I am, and why the universe is in the infinitesimal period of time in which I will exist, it seems to be a matter of definition. How could it be any other way? Such an answer does not totally satisfy however. After all, does not the universe obey the mathematical laws of an objective three-dimensional space? But mathematics is a human invention, developed to be a symbolic statement of abstract human thought processes. Man certainly would never have developed a math that would be valid only in a perceived universe of four spatial dimensions. I now wonder whether our mathematics describes an objective reality at all, or if we intentionally designed and tweaked it to work with a three-dimensional space that we mentally create around us. The question of why the universe is in the tiny slice of time in which I exist might be a wrong question based on a wrong percep- tion. Relativity shows that there is no universal time which is true throughout the vast expanse of space. Each individual exists in his own unique present moment. We need to somehow re- phrase the question. I suspect that the question of why I am myself is also a wrong question, based on another misperception. So now, instead of searching for the correct answers, I find myself still searching for the proper questions. Perhaps it's time to turn to fractals. Today's image is named "Eight Hooting Owls" because that's what F.L. saw when she caught sight of it. It rates an 8 because I think it's a rather good image. The parent fractal is the same one that produced yesterday's image. But instead of lying at the edge of the fan, today's image lies almost at the dead center of the fan. The calculation time of 1-1/2 minutes is logical and provable. Just as logically provable is the fact that the image will soon be posted for viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Near perfect conditions prevailed here at Fractal Central on Sunday, with low humidity, lots of sunshine, gentle winds, puffy cumulus clouds, and a temperature of 79F 26C 299K 21R. The fractal cats, unconcerned about which temperature scale to use, (Celsius is probably the best), found their comfort in the sunniest window. My day was pleasant enough, though thanks to F.L., the nagging and unanswered questions simply would not go away. But despite this, the next FOTD will be posted in 24 hours. Until then, take care, and there must be aleph^(aleph) questions that never have been and never will be asked, much less answered. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Eight_Hooting_Owls { ; time=0:01:28.38-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+3.400279501439892/+0.0000082660249179/\ 3.599998e+010/1/-39/0 params=-11/-1.1/-1/-11/0/\ 525/0/0 float=y maxiter=1750 inside=0 logmap=165 periodicity=10 colors=0000Ob0Xe0zi0bm0zp0ig0kZ0dR0\ XI0TA2I0460820000T00b00z00z20z0Ma0xi0thErbTniimTxi\ zzgMzeozdGzdCzdAzd6xd4rd0md0gd0bd0Xd0Rd6IrM8z`0zX8\ zVEzTMzRRzOXvMdrKinInkGngGneGndEn`EnZELXEnTCnRCnPC\ QMCnKAnIAnEALCAVACQAEVAEVAGV8IV8KV8KV8MV8OV8PV8RV8\ TV8VV8XV8Zi8`i8zrvzptzprzppzpnzpmznkxnivngvnetndrn\ brm`pmZpmXnmVrtOvzGzz8zzAzzCzzEzzGzzGzzIzzKzzMzzOz\ zOzzPzvRzmTzgVzbVz`RzZOzZKzXGzXCxV8tV4pT0kT0gR0dR0\ gK0kE0m86p2Cr0Iv0Ox0Rz0`zCgzOnz`xzmzzxzzzzzzzzzttz\ nnzigzdbzZXzTRzOMzIEzC8z62z00z00z00z00z00z40tE0kO0\ bX0Ve0Mn0Cx04z08z0Az0Cz0Ex0Gv0It0Kr0Mp0On4Pm6RkK`m\ Ximgrntznbzpzxpxinz`2zb8zdEzeKxgOviTviZtkdrmgpnmnp\ rnpxmrzktzivzgxzgxzZzzRznIzZAzI0z00z00z04z0Az4GzAM\ zGRzMXzRbzXgzbmzgrzmkzkdziXzibzeezbkz`nzXtzVxzRzzO\ zzMzzIzzGrzdVzzRzxPzxMzxKzvGzvEzvAzt8zt4zt2zr0zr0z\ r0zp0zp0zp0zp0zn0zm0zk0zi0zg0ze0ze0zd0zb } 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 01-06-08 (Edge of the Fan [8])
by Jim Muth 01 Jun '08

01 Jun '08

FOTD -- June 01, 2008 (Rating 8) Fractal visionaries and enthusiasts: Today's FOTD image is a true case of serendipity. I had another image ready to be posted as the FOTD for June 1, but one of the fractal cats, (Cassandra), leaped onto the keyboard and caused the program to terminate before I had saved the parameters or image, which I had named "Fish Ladder" and rated at a 7. In frustration I re-booted the program and found a second image, this one in the parent fractal that is created when 11 negative parts of Z^(-1.1) are combined with 1 negative part of Z^(-11) and (1/C) is added, a combination that creates a parent fractal with an outstanding fractal 'fan' unfolding east from the origin. Today's scene is located on the northeast edge of this 'fan', which explains the name "Edge of the Fan". Surprisingly, the second FOTD for today rates an 8, a full point higher than the first, which was a rather similar image The calculation time of 5-1/2 minutes is reasonably convenient. A short trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to see the finished image is equally reasonable. Morning rain here at Fractal Central on Saturday gave way to afternoon sun and a temperature of 82F 28C. This made the fractal cats happy, and they showed their satisfaction by doing what cats usually do when they are satisfied. They curled up and went to sleep. My day was slow enough to permit two satisfactory fractals. Tomorrow should be slow again, which promises that another satisfactory fractal will appear here in 24 hours, plus or minus a few. Until then, take care, and I thought the wonder years were long past. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Edge_of_the_Fan { ; time=0:05:31.05-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+4.535322291620997/+1.211627703364356/\ 1.238e+009/1/-60/0 params=-11/-1.1/-1/-11/0/525/0/0 float=y maxiter=5200 inside=0 periodicity=10 colors=000KzeIzdHzcGzaGz`EzZEzZDzYDxWBuWBtVArTAoT8\ mR8jQ7iQ7eO5dN5cNAdOEdQHdRLdTOeVTeVWeW`eYdgZgg`lg`\ ogaticwidzieziezegzcix`jwYluVmtRorOppNrmKtlHujEwiB\ xg8ze5zd2zc1zY2mZ5pW5iV8dTAaQBTODOLEHKGBIH5GI0EK0D\ L0GODIRKLVROYZR`aVc`YeYWgVclTYjQeoOKj80g04i08j0Dl2\ Gm4Ko7OpATrDWtE`uHdwKixNlzOpzRuzVzzYzzZzzYzwWxtWwp\ VumTtjTteRrcRp`QoYOmVOlRNlONmLRoIWoHZpEcpBgrAjr7ot\ 4tt2wu0zu0zw0ww0px0jx0dx0Zu0Vt0Rr1Op5LoBIlGGjLDiQA\ gW7e`4ic7leAmgDpjGtmHuoKxrNzuQzwTzzVzzYzz`zzczzdzz\ azz`zwZztYzoVzlTziRzdQzaOzYLzVKzQIzNHzKG01u10w70xD\ 0xI0zN0zL1tK5mIBiHGcHKZGQTEVOD`IDdEBi8Ao48t08x0Ar0\ Bl0De0E`0GW0HQ0IK0KE0KA0HE0EI0BN48RA5WG2`N0dT0iZ1g\ V4gR7eNAeKEeHHdDKdANd7Qc2Vc0Yc0`a0ca0ea0ZW0TR0NN0H\ I0AD04800400000000202A0AH0HO0OW0gc0dj0zr0tz0zzezz0\ zzUzz0zm0xl0zU0rZ0tK0mN0oG5dAO`4gW0zV0wT1tR2pR2mQ4\ jO5gO7dN7cL8`LAYQwlOzjLzi } 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 for June 01
by JimMuth＠aol.com 01 Jun '08

01 Jun '08

1 0