November 2005 - Fractint - mailman.xmission.com

FOTD 22-11-05 (A Witches Kiss [7])
by Jim Muth 22 Nov '05

22 Nov '05

FOTD -- November 22, 2005 (Rating 7) Fractal visionaries and enthusiasts: Do witches exist? The answer to that question depends on the definition of the word 'witch'. There certainly are those who practice the old Wiccan religion, but I doubt that they wear pointed black hats, brew evil potions in cauldrons, and fly around on brooms. But then there are fractal witches. Today's image shows the twisted kiss of a fractal witch. I generally prefer not to name images after body parts, but today's image is so obvious that I could not resist the temptation to give it the relatively harmless name, "A Witches Kiss". The image is actually one of the Julia sets of the "Viol" image that appeared as the FOTD for November 3, 2005 -- the FOTD that had the shortest discussion of all time. Today's Julia set intersects the 'Viol' image at a point in the upper center of the bud on the extreme left edge of the 'Viol' image. The interesting parts of today's image consist of a large 'inside' area made active by the 'bof60' inside fill. In this case, it is the most effective of all the inside fills. I rated the image at an above-average 7. Part of that rating is due to the extremely brief render time of 80 seconds. But no image is ever so fast that there is no need to post it to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A bit of pondering appears at this point in the philofractal version of this discussion. A cold rain fell steadily all Monday afternoon here at Fractal Central. The cats checked the conditions twice, but never ventured off the covered porch. They passed most of the day sleeping on their shelf by the large window, undoubtedly dreaming of warm sunshine. In my department, the work was finished on schedule, and all else went well. The next FOTD fractal will be posted on schedule 24 hours from now, plus or minus an hour or two. Until then, take care, and beware of kissing witches. They just might be real. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Witches_Kiss { ; time=0:01:20.73--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaMix-1 function=ident center-mag=0.600876/0.124909/1.093492/1/99.9765254\ 755702273/-11.8893132505640633 params=100/0.6/-100\ /0.61/0.202/0.272 float=y maxiter=1200 inside=bof60 logmap=7 periodicity=10 colors=0004K_4NZ4PX4SW4VU4XTD_XLadTciafkihqniurjzs\ kztlzumzvnzwozxpzyqzzrzzrzzrzzrzzrzzrztUdtQfvMjxIm\ zDpxFlrGflIV`IKbJNdJQfKTtKWxKYyPXyUWyZVycUzhTzmSzr\ RzvQxsRvpRumRsjRqgRpeRnbSl_SkXSiUSgRSfPSeRQdSOdTMc\ VKbWIbXHaYF`_D``B_a9_b8XcCUcFRdIOdLLdOIeRFeUCeX9f_\ 6fb4fe5ha6iZ6jW7lT7mQ8nN8pK9qH9rEBsGCsIDsKEtMGtOHt\ PIuRJuTLuVMvXNvYOv_QwaRwcSweTwfGWeFUbFT_FSXFRVFQSF\ PPEOMENKEMHELEEKBEJ9FIAGHBHGCIFDJEEJCFI9FI7FI5FJ9H\ JCIJFJJIKJLLJOMKSOKVPKYQK`RKcSKfTKiULhVMhWMgWNgXOf\ XOfYPfYQeZQeZRd_Rd_Sc`TcaTcaUbbeVlVbbVacWacW`dX`dY\ `eY_eZ_f_Zg_Zg`Yh`YhaYibXibXjcWjdWkdVkeVlznbymcxlc\ xlcwkdvjdvjduietiethesgfrgfrffqegpegpdgodgnchnbhmb\ hlail`ik`ij_jj_jiZjhYkhYkgXkfWlfWleVluUprVopVnnVnk\ VmiVmgVlkMwjNvjOuiOuiPtiPshQshQrcgh`ajZXlWRnULpRFr\ PAtOIoNQkMYgLecHWaDM`0EfAD_KCUTBOQARN9TK9VH8XE8_B7\ a87c56e23i36g39e3Cd3Eb3Ha } frm:JuliaMix-1 {; Jim Muth z=pixel, c=p3, a=real(p1), b=imag(p1), d=real(p2), f=imag(p2): z=(a*(z^b))+(d*(z^f))+fn1(c), |z| <= 100 } END PARAMETER FILE=========================================

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Re: quaternion product correction (Russell Walsmith)
by JackOfTradeZ 22 Nov '05

22 Nov '05

""Nice job! I'm intrigued that the Mandelbrot set's "head" flies off in this animation, in a fashion somewhat similar to the decapitation scenario in the DEW animation (mirrored at http://ixitol.com/html/videos.html)"" I am currently rendering it from an expanded (zoom out) perspective to see what flys in and out from it and where it goes, and get the best perspective. ""BTW, the value I of 1 that I gave for imag(p2) in the par was unfortunately insufficient to avoid clipping the transitional object at about real(p3) = 0.5. To provide ample clearance, it should be set at about imag(p2) = 2. Moreover, it might be fun to introduce p1 values, to cause the object to sort of pirouette as it morphs form T to C."" I am experimenting with the params to get it right. I am also looking at the pirouette about the y-axis (vertical). A VERY interesting feature has shown itself! I don't know if you are aware of it, but it is way wierd cool. You will see it in the final viddie. It is a good idea to combine the morph with the pirouette; it would have been a better idea if I had thought of it first ;) I think it will look like a gyroscope in precess, and stuff will be flying off from it from centrifugal force. And the weird thing will be seen also. So when I figure it all out, the final viddie will be a pirouette about the vertical axis, simultaneous with morph, and from a distance where it can all be seen. I will alert / post it when done, may take a week or so. JoTz

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FOTD 21-11-05 (Julia Spheres [5])
by Jim Muth 21 Nov '05

21 Nov '05

FOTD -- November 21, 2005 (Rating 5) Fractal visionaries and enthusiasts: The MandelbrotMix4 formula has created more FOTD images than any other formula. But strangely enough I have almost totally ignored the corresponding Julia sets. Today's FOTD is a small step toward correcting that oversight. The formula, JuliaMix-1, is only a first effort. What I must do is write a single formula that will combine the abilities of the MandelbrotMix4 and the JuliaMix-1. Today's image is the Julia set associated with yesterday's "Spheres" image. I have named it "Julia Spheres" accordingly. The rating of a 5 indicates that I consider it merely acceptable. The render time of 13 minutes is a bit slow for an average image. But wait may be avoided! The completed image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Sunday turned out quite pleasant here at Fractal Central, with warm sun, light breezes and a temperature of 59F 15C. The cats made the most of the pleasant conditions by passing the after- noon exploring the holly patch. Only a small serving of tuna was needed to keep them happy through the evening. My day was uneventful. However, tomorrow will be quite eventful, at least when the next FOTD is posted. Until then, take care, and be ready for almost anything. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Spheres { ; time=0:12:59.67--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaMix-1 function=recip float=y center-mag=0.135815/-0.69459/0.4723105 inside=0 params=-1/-1/-0.5/-2/2.578/2.156 maxiter=1200 outside=tdis periodicity=10 colors=000uhOgkNimMjoMgmNekNciN`gNZeNXdOUbOS`OQZON\ XOLVPJUPGSPEQPCPPAPP9PR8QS7RT7SU6TV5UW4VY4WZ3X_2Y`\ 1Za1`b5aa9baDbaHcaLcaPdaTdaXea`eadfahfalgapgathawh\ armcmqehvgdziasc_lYYeSWZNUSHSLBQF6UFAXFD_FGbFJeFMh\ FPkFSnFVqFYtF`rHYpIWoJUmKRkLPjMNhNLfOIePGcQEaRB`S9\ ZT7YU5QcBJlGCuLFlMHdNKXOMPONOMONLPMJQLIRLHSKFTJFVK\ GXMHZOI`QJbSKdULfWMhYNj_OlaPncQpeRrgStiTvjUxkXxl_u\ mapncknefogapiXpkSqmNqnOpmPokQniRmgSleTkcUjaVi_WhY\ XgWYfUZeSXeQZeO`fOcgMfhLidKkbJn`IqZHtXGvWFtRRrNbpI\ nnEzoGxoIwoKuoMtoNsoPqoRppTnpVmpWlpYjp_ipagpcfpdel\ efhffdff`gfXggThgPhgLigHihDjh9jh5kh2kh5gb7cX9`RCXL\ ETFGQ9FTAFWBFZBEaCEdDEfDCgHBgLAgP9gT7hX6h`5hd4hh3h\ k4fl4el5cl5bm6`m6_m7Ym7Xn8Vn8Un8TnLF7OE9RDAUDBXCC_\ BDbBFeAGh9Hk9In8Jp8KoZ`qaYsdWtfUviSwkQynOzpMwdVtUb\ qIjn7riDidI`_OSVTKWUJXUJYUJZVJ_VJ`VJaVJbWJcWJdWJeX\ JfXJgXJhXJiWIjWHkWGlWFmWE } frm:JuliaMix-1 {; Jim Muth z=pixel, c=p3, a=real(p1), b=imag(p1), d=real(p2), f=imag(p2): z=(a*(z^b))+(d*(z^f))+fn1(c), |z| <= 100 } END PARAMETER FILE=========================================

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Re: [Fractint] Re: quaternion product correction (Russell Walsmith)
by Russell Walsmith 21 Nov '05

21 Nov '05

Nice job! I'm intrigued that the Mandelbrot set's "head" flies off in this animation, in a fashion somewhat similar to the decapitation scenario in the DEW animation (mirrored at http://ixitol.com/html/videos.html) The main set of points somehow becomes adverse to a subset: it's a curious phenomena, akin perhaps to a charge reversal, and it will be interesting to see what sort of mathematical theories eventually arise to account for it. As for to whom belongs credit for the formula; the T-set comes from the triternions concept, but its 3D realization in Fractint is of course due to Gerald Dobiasovsky's inspired/inspiring work. And after all, the formula is just one component of an ongoing and extensive collaborative effort... but anyway, he and I should share credit there I believe, if that's OK with Gerald. BTW, the value I of 1 that I gave for imag(p2) in the par was unfortunately insufficient to avoid clipping the transitional object at about real(p3) = 0.5. To provide ample clearance, it should be set at about imag(p2) = 2. Moreover, it might be fun to introduce p1 values, to cause the object to sort of pirouette as it morphs form T to C. Thanks again for your interest in these formulas; it's really fun to see them come to life. Ciao, Russell ----- Original Message ----- From: JackOfTradeZ <JackOfTradeZ(a)comcast.net> To: fractint(a)mailman.xmission.com Subject: [Fractint] Re: quaternion product correction (Russell Walsmith) Date: Sun, 20 Nov 2005 00:21:48 -0700 > > The morph animation is posted: > > http://www.fractal-animation.net/morph.zip > > It is AVI file, 640x480, 3.5 meg, original grayscale map > > Exactly who is credited with this formula? > > > JoTz > > > > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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(no subject)
by sam ende 20 Nov '05

20 Nov '05

this is fun to watch rendering, bit like watching entropy :) sammi http://www.sende.co.uk/fract146.gif

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Re: [Fractint] Re: quaternion product correction
by Russell Walsmith 20 Nov '05

20 Nov '05

Gerald, I'm still stoked on this formula. Morgan Owens and Hiram Berry should see this! Oh yeah, and Lloyd Garrick (aka Jack O'Tradez; http://www.sonic.net/~jot/ufvp.html) should consider animating it, IMO... Maybe you have a name for this program, or a suggestion for one, so that I may easily refer to it: E.g., Gerald K. Dobiasovsky's xxxxx formula? Ciao ----- Original Message ----- From: "Gerald K. Dobiasovsky" <gerald.dob(a)aon.at> To: "Fractint and General Fractals Discussion" <fractint(a)mailman.xmission.com> Subject: [Fractint] Re: quaternion product correction Date: Thu, 3 Nov 2005 02:45:56 +0100 > > > [Russell Walsmith, regarding Triternions and the rendereing thereof] > > Paul Bourke's rendering seems to use some density cloud function (probably > the number of iterations accumulated while stepping along the > line-of-sight for each pixel), so the object's outside is structured > as well. > > All I can offer for the moment is a greyscale depth rendering similar to > Fractint's Julibrot type (that is, the object is solid and the surrounding > space is transparent). > > You can achieve a kind of outside density rendering by switching from > outside=summ to outside=iter, but the colors will wrap around many times, > which really doesn't look good. > > Gerald > > ---------------------------- Parameters below ------------------------------ > > T-set_in_3d {;Greyscale depth image > ; > reset=2004 type=formula formulafile=test.frm > formulaname=Rot3d_T-set passes=g > center-mag=-0.68046/-0.24858/0.9363296 > params=0/0/-0.75/0.75/0/0/0/4/150/253 float=y maxiter=2000000000 > outside=summ periodicity=0 > colors=000zzzyzzzyzzyyyyyxyyyxzyxxxxxwxxxwyxwwwwwvwwwvxwvvvvvuvvvuwvuuuu\ > utuuutvutttttstttsutsssssrsssrtsrrrrrqrrrqsrqqqqqpqqqprqpppppopppoqpoooo\ > onooonponnnnnmnnnmonmmmmmlmmmlnmlllllklllkmlkkkkkjkkkjlkjjjjjijjjikjiiii\ > ihiiihjihhhhhghhhgihgggggfgggfhgfffffefffegfeeeeedeeedfedddddcdddcedcccc\ > cbcccbdcbbbbbabbbacbaaaaa`aaa`ba`````_```_a`_____Z___Z`_ZZZZZYZZZY_ZYYYY\ > YXYYYXZYXXXXXWXXXWYXWWWWWVWWWVXWVVVVVUVVVUWVUUUUUTUUUTVUTTTTTSTTTSUTSSSS\ > SRSSSRTSRRRRRQRRRQSRQQQQQPQQQPRQPPPPPOPPPOQPOOOOONOOONPONNNNNMNNNMONMMMM\ > MLMMMLNMLLLLLKLLLKMLKKKKKJKKKJLKJJJJJIJJJIKJIIIIIHIIIHJIHHHHHGHHHGIHGGGG\ > GFGGGFHGFFFFFEFFFEGFEEEEEDEEEDFEDDDDDCDDDCEDCCCCCBCCCBDCBBBBBABBBACBAAAA\ > A9AAA9BA9999989998A98888878887987777767776876666656665765555545554654444\ > 4344435433333233324322222122213211111011102100000000PPP > } > > frm:Rot3d_T-set {;periodicity=no, outside=summ > ;maxit > p5real*(p5imag+1) > ;-------------------------------------------- > ;p1real: Rotation about x-axis (1st rotation) > ;p1imag: Rotation about y-axis (2nd rotation) > ;p2real: Far clipping plane > ;p2imag: Near clipping plane > ;p3real: x1(0) > ;p3imag: y1(0) > ;p4real: z1(0) > ;p4imag: Bailout > ;p5real: Maxiter per slice > ;p5imag: Number of slices - 1 > ;-------------------------------------------- > ; > bailout = imag(p4), tiefnum = imag(p5) > delta = (real(p2)-imag(p2))/tiefnum > tmp = pi/180 > rotXax = exp(flip(real(p1)*tmp)), rotYax = exp(flip(imag(p1)*tmp)) > ; > HPixXY = rotYax > VPixZ = real(rotXax) > VPixXY = flip(conj(rotYax)) > NXY = VPixZ*VPixXY > NZ = imag(conj(rotXax)) > VPixXY = -NZ*VPixXY > ; > tmp = NXY*imag(p2) + HPixXY*real(pixel) + VPixXY*imag(pixel) > cx = cx0 = real(tmp), cy = cy0 = imag(tmp) > cz = cz0 = NZ*imag(p2) + VPixZ*imag(pixel) ;HPixZ -> 0 > tmp = NXY*delta, dcx = real(tmp), dcy = imag(tmp) > dcz = NZ*delta > x1 = real(p3) > y1 = imag(p3) > z1 = real(p4) > j = m = i = 0: > a = sqr(x1) + 2*y1*z1 > b = sqr(z1) + 2*x1*y1 > c = sqr(y1) + 2*x1*z1 > x1 = a + cx, y1 = b + cy, z1 = c + cz > IF (bailout >= (sqr(x1)+sqr(y1)+sqr(z1))) > i = i + 1 > ELSE > i = 0 > m = m + 1 > cx = cx0 = cx0 + dcx > cy = cy0 = cy0 + dcy > cz = cz0 = cz0 + dcz > x1 = real(p3), y1 = imag(p3), z1 = real(p4) > ENDIF > z = m - j > j = j + 1 > tiefnum >= m && p5 >= i > } > > ---------------------------- End of parameters ----------------------------- > > > _______________________________________________ > Fractint mailing list > Fractint(a)mailman.xmission.com > http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint

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Re: quaternion product correction (Russell Walsmith)
by JackOfTradeZ 20 Nov '05

20 Nov '05

The morph animation is posted: http://www.fractal-animation.net/morph.zip It is AVI file, 640x480, 3.5 meg, original grayscale map Exactly who is credited with this formula? JoTz

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FOTD 20-11-05 (Spheres [5])
by Jim Muth 20 Nov '05

20 Nov '05

FOTD -- November 20, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's image came about when I combined various portions of (1/Z) and Z^(-2), then added (1/C). The parent fractal consists of three oversized lobes, with today's scene located rather deep in the valley between the north and east lobes. There appears to be considerably more interesting stuff in this particulad parent fractal. If time were not limited, I might spend an eternity or two exploring it. The effect of spheres is quite strong, and is the reason I named the image "Spheres". The rating of a 5 means I consider the image to be merely adequate. The render time of 29 minutes is on the slow side, but may be eliminated by downloading the completed GIF image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The effect of the bright sun was lessened by the chill in the air here at Fractal Central on Saturday. The fractal cats checked the outdoors several times, but never remained out longer than 20 minutes. My day was near average, as are most of my days. The next FOTD will appear in 2 hours. Until then, take care, and always look up. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Spheres { ; time=0:29:13.94--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+2.57781307627547200/+2.156071254042420\ 00/1.922166e+008/1/40/-2.394941087875e-005 float=y params=-1/-1/-0.5/-2/0/0 maxiter=1200 inside=fmod proximity=0.1 outside=tdis periodicity=10 colors=000JEkMJgQOcUTZXYV`bRcgNdeOedOfcPgbPhaQi`Qi\ ZRjYRkXSlWSmVTnUTxXCnTTaPiQMxPNwPNvPNuPNtPNsPNrPNq\ ONpONoONnOOlOOkOOjOOiNOhNOgNOfNOeNOdNOcMMcNObOPaPQ\ `QR_RSZSTYSUXTWWUXVVYUWZUX_TY`SYaRZcQ_dP`eOafNbgMc\ hLciLahN`hO_hPZgQYgSkwThsUeoVbkX_hYXfZUf_ReaPebOec\ NcdMbdLabK_dJZdIYdHVeGUeFTeEReD`qC`rB_sA_t9_uFYtLX\ sRWrWVraTqgSpmRorQopPnoOnmNnlMnjLmiKmgJmfImdHlcGla\ Fl`ElZDkYCkWBkVAkT9jS8jQ7jP6jM5lO6jQ6hR6gT6eV6cW6b\ Y6`_6Z`6Yb6Wc6Ue6Tg6Rh7Pj7Ol7Mm7Ko7Jp7Hr7Ft7Eu7Cw7\ Ax79x77x75x74x87x99x9BxADxBFxBHxCKxCMwDOwEQvESvFUu\ GXtGZtH`sHbsIdrJfqJiqKkpLmpLooMqoMslLqjKohKmeJkcJi\ aIg_IeXHcVHaTG_QFYOFWMEUKESHDQFDODCMBCKAFMAHOAJQAL\ RAOTAQVASWAUYAX_AZaA`bAbdAefAggAiiAkk7ljAmlCmnFnoH\ nqKosMotPpvSrxRrxQrxjXsVTiPmtPksOiqNhpMfnMdmLclKaj\ K_iJZgIXfHVdHUcGSaFQ`_atX_qVZoTYmRWkPViNUgLSeJRcHQ\ aCrGDrHDqIDpJDoJDnKDmLDlL } frm:MandelbrotMix4 {; 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, 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 19-11-05 (Pentagons [8])
by Jim Muth 19 Nov '05

19 Nov '05

FOTD -- November 19, 2005 (Rating 8) Fractal visionaries and enthusiasts: Today's FOTD rates an 8, and with its glowing pentagons, the image is unusual enough to make it an honest 8. The image is a Julia set of the Z^1.11+C Mandeloid as it appears 111 levels up the complex log spiral. The Mandel aspect of the scene is an egg-shaped open bay surrounded by much chaos. Today's Julia set is associated with a point just offshore of the southwest shore- line of the bay, a point where the chaos is at a minimum. A quick glance will reveal the reason why I named the image "Pentagons". It is filled with bits and pieces of near-perfect Pentagons, with a few whole pentagons thrown in for good measure. The rating of an 8 is the first rating this high in a number of months. The render time of 4-1/4 minutes can be elimi- nated by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The sun shone bright all day Friday here at Fractal Central, but the temperature of 39F 4C was too cold for the ears and paws of the fractal cats. They decided to spend the day sleeping on their shelf by the window, only occasionally opening their eyes to check for passing birds. My day was satisfactory. The next in the near-endless string of FOTD's will appear in 24 hours. Until then, take care, and iterate until you drop. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Pentagons { ; time=0:04:15.95--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC center-mag=-0.120052/-0.119167\ /1.31844/1/90/3.88578058618804789e-016 passes=1 params=1.11/0/111/0/-0.041/0.146/0/0 float=y maxiter=256 inside=bof60 logmap=yes periodicity=10 colors=000cdLacN_bPYaRW`PU_NSZLQYKOXIMWHKVFIUDGTCE\ SACR9AQ78P6zmc40930C20E10H20J40M60O80R90T90W90YA0`\ A0cB4eB9hBDjCFmCGoCFrDFtDEwXImVHoTHpRGqPGrNGsLFuJF\ vHEwFEx4aG5ZL6XQ7UU8SZ9QbANgBLlCIpDGujgq`vQ_tSZrTY\ pVXnWWlYVjZUh`TgaSecRcdQafP_gOYiNWjMUlLTmKRoJPpINr\ HLsGJuFHvEFxHs4Gq7Go9GmCGlEGjHGhJFfLFeOFcQFaTF_VFZ\ XEX_EVaETdESfEQiEOkDMmDLpDJrDHuDFwJW1IT9HRHGPOGNWF\ KcEIjDGruLIpKNkJSfIXaHaXHfSGkNFpIEu5QZ6P`6Ob7Nc7Ne\ 8Mf8Lh9Lj9KkAJmAInBIpBHrCGsCGuDFvDExaoeZjhWfjTblQZ\ nOUqLQsIMuoQDhVGa`KVeNNjQGpU9uX2z_EybQxe`xhlwkwwno\ shgpc_lZTiTLeODbJ6_EG`HQaJZbLc_KhYJmVIrTIsUPtVWuVb\ vWiwXpwXvoVuhUuaTtVRtOQsHPsKSlMVfPY`R`VUcOWfIZiC`k\ 6Xj9UiCQhFNgIKgLEcG8_B3W76YE8_LAaRG_MMZISYEYW9cV5h\ U1bW3YX5TZ7O_9JaBEbD9cETQHkCJeBL`ANW9PR8QM7SH6UC6V\ BQKBh9LiIViRdj_njhwjpWV`4FM8INCKOGMPJOPNRQRTRVVSYX\ S`aWbf_dkcfpghukjzorh`ySM } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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FOTD 18-11-05 (Julia Star [6])
by Jim Muth 18 Nov '05

18 Nov '05

FOTD -- November 18, 2005 (Rating 6) Fractal visionaries and enthusiasts: When I checked my e-mail this morning, I found a message from my credit-card company informing me that my card had been charged 4,900 dollars for a big-screen TV set. The e-mail instructed me to click on the included link and go to the card company's web site if I thought an error had been made. Since I have never purchased a big-screen TV, it appeared that some fraud had indeed taken place. Luckily for me, I open all my e-mail in text mode, and I noticed at once that the link was fraudulent. The link actually was to a web site with an address something like 243.43.561.37. The letter was a 'phishing' scam, designed to steal my personal information. (The e-mail informing me that I had won a lottery was also a scam.) The only thing genuine in all this is today's image. Today's fractal shows a Julia set of the Z^1.11+C Mandeloid as it appears 11 levels up the logarithmic spiral, where the parent fractal resembles a huge stretched out ellipse. Today's Julia set is associated with a point near a small valley on the south- ern end of the ellipse. The Julia set resembles an off-center star, which I have colored in a rather sensational manner. The maxiter of 256 gives every color in the 256-color map a role to play, though only the first 75 or so colors play a significant role in the appearance of the image. The rating of a 6 may be taken as a recognition of my fractal- coloring skill. Normally, my humility prevents me from admit- ting how great I am, but for one day I'll forget my humility. The name "Julia Star" refers to the shape of the fractal. The render time of 27 seconds is fast enough to please even the most impatient fractalist. For the convenience of those with over-qualified computers, the completed GIF image has been posted to the FOTD web site, which may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The weather was mostly sunny here at Fractal Central on Thurs- day, but the wind was up and the temperature never rose over 41F 5C. The cats went outside on schedule. Within an hour they decided that warmth was better than adventure. At one point I heard them chasing each other up and down the stairs, something they once did every day but have not done in months. I guess their inner kittens are acting up. The next FOTD will appear 24 hours from now in its full glory. Until then, take care, and be at peace with your fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Star { ; time=0:00:27.74--SF5 on a P200 reset=2004 type=formula formulafile=allinone.frm formulaname=JuliaBC center-mag=-0.115487/-0.208774\ /0.8191828/1/32.5/-2.50563458870090017e-014 params=1.11/0/11/0/-0.388/-0.245/0/300 float=y maxiter=256 inside=255 logmap=yes periodicity=10 colors=0000AA0AA0AA0AA1AA2AA3AA4AA5AA6AA7AA89A9BFA\ CLBERCFXDHbFIhKNgPSgTXg_agfhlmortuwjnl`haSbUKYPDUK\ 7QGHN5raDhcP_e`VggWiiWkqWlzcbhjTZqJPxAGuJIsRKpZMnf\ OknQivRbfNXSKRDHZUOfjVZkTSlRKmPDnOFpTHqYJraLsfNukP\ woQxiQzcRzYRzTRzNSzHSzBSz6Vz6Xz6Zz6`z6bz6dzAezEfzI\ gzMhzQmzUszYwz`zzfzzlzzrzzRzzBzztzz6zzjzzjzzazzUzz\ LzzDzzCzzKzzRzzYzzdzz`zzYzzVzzTzzRzzOzzMzzKzzIzztz\ zqzznzzkzzWzzGzz1zz2zz2zz2zz2zz2zz2zz2zz8zzEzzKzzQ\ zzWzz`zzYzzVzzSzzPzzMzzJzzHzzRzz_zzizzrzzizz`zzSzz\ JzzAzz2zz7zzBzzGzzKzzPzzUzzSzzRzzQzzPzzSzzVzzYzz`z\ zczzazz`zzZzzYzzWzzVzzPzzJzzDzz7zz2zzCzzLzzVzzczzm\ zzvzz_zzEzzDzzDzzDzzDzzDzzDzzJzzPzzUzzRzzOzzMzzJzz\ HzzEzzCzzizzhzzgzzfzzezzezzczzazz_zzZzzXzzVzzUzzWz\ zYzz_zzazzczzezzgzzizzkzzmzzozzqzzszzuzzvzzrzzozzk\ zzhzzdzzazzYzzVzzPzzJzzEzzAzz6zz3zzAzzHzzOzzVzzazz\ hzznzzAzzMzzXzzzzzzzzuzzq } frm:JuliaBC { ; Formula by Andrew Coppin e=p1, p=real(p2)+PI, q=2*PI*floor(p/(2*PI)), r=real(p2)-q, C=p3, Z=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|< p4+100 } END PARAMETER FILE=========================================

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