November 2010 - Fractint - mailman.xmission.com

FOTD 15-11-10 (Troubled Julia Set [7])
by Jim Muth 15 Nov '10

15 Nov '10

FOTD -- November 15, 2010 (Rating 7) Fractal visionaries and enthusiasts: Today's image is an almost Julia set of the 4th valley beyond Seahorse Valley out the main spike of the Mandelbrot set. I call it an *almost* Julia set because its orientation is rotated 0.4 degree toward the Rectangular direction. The valley itself appears as the open stripe down the center of the image. The north and south branches of the valley are seen edge-on, and appear as the brilliant blue-white areas flanking the open area and filling the outer Julia shape. The name "Troubled Julia Set" indicates that the Julia set is askew. This close to the over-extended Julia orientation of the Julibrot, a small rotation makes a big difference. The rating of a 7 might not fully justify the calculation time of just under 6 minutes, but the image is still an interesting one. The finished image might be posted on the FOTD web site at: <http://www.Nahee.com/FOTD/> but I am not sure Paul has the site up-to-date quite yet. Sunday turned into a perfect day here at Fractal Central. The blue sky, mare's-tails cirrus and temperature of 61F 16C kept both cats and humans happy. I passed some time walking to the nearby Susquehanna River, where a large number of Canada geese were resting on the water before flying south. FL kept busy doing other things. The next FOTD will be posted in 24 hours. Until then, take care, and old age is the time when a person has the money to do what he always wanted to do but is no longer able to do it. (Hey, don't tell me my attitude is negative. That's the way I see it and I'm not the one who designed it.) Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Troubled_Julia_Set { ; time=0:05:58.08-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot2 center-mag=0/0/26.83367\ /1.0692 params=90/0/89.6/90/-1.3996313761/0/0/0 float=y maxiter=250000 inside=0 logmap=35 symmetry=yaxis periodicity=6 colors=000REQSESUEUWEXYFZ_G`aHbcIeeJigKmiLqkMtmNwk\ OziPygQxeRwcSvaTu_UtYVqWWnUXkSYiQZfOZcMYaKXZIWWGVU\ EURCTOASM8RJ6QG4PE5OF5NF5MF5LF5KG5KG5KG5KG6KH6KH6K\ H6KH6KI6KI6KI6KI8KH9KGALGBNFDQEESEFUDGWDIZCJ`BKbBL\ dAMfAQbET_IWXMZUQbQTeNXhK`kHdnEgoFfoFepFdpGdqGcqGb\ rGarHasH`sH_sH_uL`vO`wR`xVayYaz`azaYzaUzbRzbNzcKzc\ GzdDzd9zd5zdFzdPzeZyecxehwfhvfduectdbscarb`qa_p`Zo\ _YnZWmYVmXUmWTmVSmURmTQmTPmXOm`OmdNmdNmdRlcCkcDjcC\ icChcCgcCfcCecBdcBccBcbBcbBcbBcbAcaAcaAcaAc`Ac`Ac_\ Cc_DcZEcZFcYHcYIZXJUXKPWMKWNFVOAVP5UR3SS3RT3RU3SW3\ TX4VY4V`4Wc4Wh4Xm4Xr4Zv4`z4az5dz5ez5gz5iz5jz5jz5lz\ 5mz5nz3pz5qz6qz8rz9rzBrzCszDszFszGtzItzJtzKuzMuzNu\ zPvzQvzSvzTwzUwzWwzXwzZwz_wz_wzaxzbxzcxzdxzexzfyzh\ yziyzjzzkzzlzzmzzozzpzzqzzqzzqzzqzzqzzrzzrzzrzzrzz\ szztzzuzzvzzwzzvzzuzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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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FOTD 12-11-10 (Deep-Blue Computer [!])
by Jim Muth 15 Nov '10

15 Nov '10

FOTD -- November 12, 2010 (Rating !) Fractal visionaries and enthusiasts: Today's image is a slice through the Julibrot oriented halfway between the Mandelbrot and Julia directions. It is not the one- and-only halfway slice. There is no single slice. The Julibrot is four-dimensional, and today's slice is but one of an infinity of slices oriented halfway between the M and J directions. Today's image is actually the entire parent fractal of the past two days' FOTD's. With minor tweaking, I have used basically the same colors on all three images. I named the image "Deep-Blue Computer". I think this is the name of the computer than beat a grand master at chess a number of years ago. I rated the image with an exclamation mark. (Called a 'bang' in the printing trade.) I surprised myself when I tried the 'real' option on the 'outside' parts. The calculation time of 5 seconds makes whatever comes up worth the effort. But all effort may be eliminated by checking the finished image on the FOTD web site at: <http://www.Nahee.com/FOTD/> I usually avoid discussing politics, but today I must make an exception. While FL and I were taking a break watching the news at lunch time on Thursday, they showed a 10-second clip of a certain un-named congressman declaring that something must be done about the country's out-of-control financial deficit. A few minutes later, when some effective but painful actions were suggested, the same congressman declared that the suggestions were unacceptable, unworkable and totally out of the question. The resulting laugh from FL made my day. The Thursday weather here at Fractal Central was a repeat of Wednesday's, with a slight drop in temperature to 57F 14C. The fractal cats spent the afternoon basking in the sun on their window shelf. My day was quite busy but still acceptable. The next FOTD will be posted in 24 hours. Until then, take care, and does anyone know how to reduce the deficit without raising taxes or cutting benefits? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Deep-Blue_Computer { ; time=0:00:05.05-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot2 center-mag=-0.000556425\ /0/0.6726457 params=45/0/-45/0/-0.75/0/0/0 float=y maxiter=1000 inside=0 outside=real symmetry=xaxis colors=00075H76I77K78M79P7AR7BT7CW7DY7E_7Fb7Gd7Hf6\ Ii6Jk6Jm6Jp6Kr6Kt6Lw6Ly6Lz6Oz6Qz6Sz8Uz9VzAUzBSzCQz\ DRzERzGSzHTyITxJUxKVwLVvMWuOXtPXsQYrRZqSZpT_oU`nV`\ nSZoQ_pO`pMaqJbrHcrFcsDctBct8cu6cv4cv2cw0cw2cx3cy4\ cz5cz6cz7cz8cz9czAczBczCczbcz_czYczWczUczSczQczOcz\ MczKczJczHizGszLozQlzTczVczXczZcz`czbczfcziczmczpc\ ztczwczzcz0cz1cz1cz1cz1kzAizJhzRgzTjzUlzWnzXpzYrzT\ ozPlzKizGfzBcz7`z3YzIazXdzjgzjfzjfzjezjezjdzjdzjcz\ jczcYzXSzQMzJGzDBzOIzYOzhUzr_zfYzVWzJUz8Tz9Pz9Lz9H\ zADzA9zA5zA2zH9zOFzULz`SzgYzmczkfziizhlzfnzeqzctzb\ vzLWz36zELzOZzYlzgzzavzWrzQozKkzEhz8dz2az7XzBTzFPz\ JKzNGzRCzV8zRKzNWzJgzJfzIezIdzIczIbzIbzIbzIbzIbzIb\ zIbzIbzIbzIbzKazLazNazOazQazSazTazVczXezYgz_iz`kzd\ mzhozmqzrszvszzzzzzzzzzzzzzzzvuzrwzmyzhzzZozUezPVz\ KLzGAzCAzB8zB6zB4zB3zB3zA4zA4zA5zA6zA6zA7z97z98z98\ z99z9Az9Az8Bz8Bz8Cz8Cz8Dz } 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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<Paul> I hope you're feeling better, Paul.
by Hal Lane 14 Nov '10

14 Nov '10

I hope you're feeling better, Paul. - Hal Lane ######################### # hallane(a)earthlink.net # #########################

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Newtonish Mandelbrot
by Roger Alexander 14 Nov '10

14 Nov '10

According to the formula writer this formula is a newton mandelbrot mash-up. Regular bailouts, inverse bailouts it can be so confusing at times. Pre-rendered at the usual http://maxitersfractalfollies.blogspot.com And finally welcome back Paul, keeper of the FOTD! Newtonish Mandelbrot { ;fract515.gif a minibrot ; blank ; calctime 0:34:08.17 ; created Nov 13, 2010 ; Fractint Version 2004 Patchlevel 10 reset=2004 type=formula formulafile=_m.frm formulaname=man-newt-man center-mag=-0.78353162878688400/+0.06835193132850351/2185.907/1/44.99999\ 99999986215/-4.14705769724577067e-012 params=0/0 float=y maxiter=1500 inside=0 logmap=42 colors=0Sm000000000000000000000000000000100100200400500700900B00D00G00I0\ 0L00O10Q10T10W10Z10a10e10h20k20o20r20v20y20z30z50z60z80z90zB0zC0zE0zF0zH\ 0zI0zK0zL0zN0zO0zQ0zR0zT0zU0zW0zX0zZ0z_0za0zb0zd0ze0zg0zh0zj0zk0zm0zn0zp\ 0zq0zs0zt0zv0zw0zy0zz1zz3zz4zz6zz7zz7zy7zx7zx7zw7zv7zv7zu7yt7ys7ys7yr7yq\ 6yq6yp6yo6yo6xn6xm6xl6xl6xk6xj6xj6xi5xh5wh5wg5wf5we5we5wd5wc5wc5vb5va5va\ 5v`4v_4vZ4vZ4vY4vX4uX4uW4uV4uV4uU4uT4uS3uS3uR3tQ3tQ3tP3tO3tO3tN3tM3tL3sL\ 3sK3sJ2sJ2sI2sH2sH2sG2sF2rE2rE2rD2rC2rC2rB1rA1rA1r91q81q71q71q61q51q51q4\ 1q31p20p20o20n20m20m20l20k20j20j20i20h20g20g20f20e20d20d20c20b20a20a20`2\ 0_20Z20Z20Y20X20W20W20V20U20T20T20S20R20Q20Q20P20O20N20N20M20L20K20K20J2\ 0I20H20H20G20F20E20E20E20D20D20C20C20C20B20B20A20A20A2092092092082082072\ 0720720620620520520520420420420320320220220220120120010 } frm:man-newt-man {; Sylvie Gallet [101324,3444], 1995 +R.B. ; tiny mod on original Mandel-Newton by Sylvie ; tweaked brainlessly by Robin Bussell ; to give a hybrid mandel-newton fractal z = pixel, c = z, iter = 1, test1 = 1 rad = 3.1, center = (1.0,0.1) pix = (10*pixel+(5.0,-3.4))*(-0.1,-0.95) zn = center+rad/(pix-center) limit = real(p1), b1 = 16, b2 = 0.0001 : test1 = (1-test1), test2=(iter!=limit) z = (z-zn)*test2 + zn z2 = z*z, z4 = z2*z2, z1 = (z4*z-1)/(4*z4) z = (z2+c)*test1 + (z-z1)*(1-test1) iter = iter+1 ((|z| <= b1) * test1) || ((|z1| >= b2) * (1-test1)) ;SOURCE: forummsg.frm } Roger Alexander

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Re: [Fractint] FOTD 06-11-10 (Almighty Spiral [6])
by Paul.N.Lee＠att.net 14 Nov '10

14 Nov '10

Lloyd Garrick (JackOfTradeZ) wrote: > > I dont see any FOTD posted after Oct 27 2010? > Is there a problem or did the site move again?? > Sorry for the delay in getting these uploaded, but it seems that old age is not what it is cracked up to be (or maybe it is a matter of way too many cracks). Anyway, I got admitted to Emergency unexpectedly, and am just now getting caught back up with my emails, and other issues. Mike Frazier wrote: > > I made a 1200x900 pixel image with 5x5 > anti-aliasing which can be downloaded.... > Very nice example of what Jim's FOTDs have within them, especially when one takes the time to explore and render at such larger image sizes. The details in the lower portion sure stand out much better. Sincerely, P.N.L. -------------------------------------- http://www.Nahee.com/PNL/Fractals.html http://www.Nahee.com/Fractals/

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FOTD 14-11-10 (Glimmer of Hope [8])
by Jim Muth 14 Nov '10

14 Nov '10

FOTD -- November 14, 2010 (Rating 8) Fractal visionaries and enthusiasts: Today's image is not exactly a slice of the Z^2+C Julibrot, but it is certainly a slice of some other Julibrot, and at least in my opinion, it is well worth being declared FOTD for November 14. The rating of an 8 includes 2 full points for the coloring, which creates most of the effect of the image. But I cannot take too much credit for the colors. They were created by the Fractint program with a random strike of the <enter> key. The brilliant spot at the center of the image is a point of anti- bifurcation, or as I call such things, an anti-minibrot. While naming the image I was undecided between "Light at the End of the Tunnel" and "Glimmer of Hope". I finally decided on the latter name, since it was the one that fit in the allotted space in the parameter file. The image is a super fast one, finishing in a speedy 36 seconds. The way to avoid the calculation might be to check the FOTD web site at: <http://www.Nahee.com/FOTD/> I say 'might be' because I have not heard from Paul for a week or so, and the last I checked, the web site was not yet up to date. If for some reason, Paul is unable to continue with the FOTD web site, I could probably take it over myself. We are also considering setting up our own web site here at FC. Maybe we could incorporate the FOTD web site into our own site. After a chilly start, Saturday here at glorious Fractal Central turned into another near-perfect day, with a temperature of 61F 16C. Only a few delicate streaks of cirrus marred the unbroken blueness of the sky, while the strong sun in the southwest window gave the fractal cats all the pleasure they needed while the humans were away antiquing. Our day was occupied by the antiquing trip to Richfield. Maybe I'm going soft, because these trips are actually starting to become rather enjoyable. The next FOTD will be posted in some- thing like 12 hours. Until then, take care, and if the best has not already happened, it is yet to come. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Glimmer_of_Hope { ; time=0:00:36.30-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=-0.7352361863561826/+0.2917224444576193\ /5293406/1/82.5/0 params=7/100000000000.0/0/0 float=y maxiter=1500 inside=0 periodicity=6 colors=000VULTSKRQIOOHMLFKJEIHCFFADD9BA79866644432\ 21000hhOddM``KXXIUUGQQEMMCIIAFF8BB6774332647A23E6C\ HCGjsKhqJgpIfnIemHckHbjGahG`gFZeFYdEXbEWaDU_DTZCSX\ CRWBPUBOTANSAzzzzzzzzzzzzzvzzrzzozylzxivwervbouZlt\ UisPfrJcqEbp9ao5`n0_m0Zl0Yk0Xj0Wi1Vh1Ug1Tf1Se1Rd1Q\ c1Pb1Oa1N`1M_1LZ1KY1JW1IV1HU1HT1GS1FR1FQ1EP0EO0DN0\ DM0CL0BK0BJ0AI0AG09F08E08D07C07B06A059058047046035\ 024023c12b11a0D`4CZ3CY3BX3BW3BV3AU3AT39S39R29Q28P2\ 8N28M27L27K26J26I26H15G15F14E14D14B13A139138027026\ 0150140130020010oTqiQkdNf_K`VHWQERKBLF8GA5A5254_93\ Z83Y83Y83X83W83W83V73U73U73T73S73S73R62Q62Q62P62O6\ 2O62N52M52M52L52K52K52J42I42I41H4BXrAYsAYtAYuDXsGW\ qJVoMUnPTlSSjVRhXRgWQfVPeVPdUOcTObTNaSN`RM_RM_QLZP\ LYPKXOJWOJVNJVNIUMITLHTLHSKGRJGQJFPIFOHENHEMGDMFCL\ FCKEBJDBIDAHCAGB9FB9EA8E98D97C87B76A75965854754743\ 6335324223112111000_ZPXWN } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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Thermal Emission
by Roger Alexander 13 Nov '10

13 Nov '10

The map suggests heat and flame. Fire-along with air,earth, and water one of four elements to the ancients. Ready made at http://maxitersfractalfollies.blogspot.com. Thermal Emission { ; fract510.gif ; blank ; calctime 0:02:00.94 ; created Nov 12, 2010 ; Fractint Version 2004 Patchlevel 10 reset=2004 type=formula formulafile=kerrym.frm formulaname=range-y-3_jul center-mag=0.127469/0.618401/13.64778 params=0.5/0.5/4/1/1/1 float=y maxiter=1500 inside=0 decomp=256 periodicity=0 colors=000000000000000000000000000000000100100200400500700900B00D00G00I0\ 0L00O10Q10T10W10Z10a10e10h20k20o20r20v20y20z30z50z60z80z90zB0zC0zE0zF0zH\ 0zI0zK0zL0zN0zO0zQ0zR0zT0zU0zW0zX0zZ0z_0za0zb0zd0ze0zg0zh0zj0zk0zm0zn0zp\ 0zq0zs0zt0zv0zw0zy0zz1zz3zz4zz6zz7zz7zy7zx7zx7zw7zv7zv7zu7yt7ys7ys7yr7yq\ 6yq6yp6yo6yo6xn6xm6xl6xl6xk6xj6xj6xi5xh5wh5wg5wf5we5we5wd5wc5wc5vb5va5va\ 5v`4v_4vZ4vZ4vY4vX4uX4uW4uV4uV4uU4uT4uS3uS3uR3tQ3tQ3tP3tO3tO3tN3tM3tL3sL\ 3sK3sJ2sJ2sI2sH2sH2sG2sF2rE2rE2rD2rC2rC2rB1rA1rA1r91q81q71q71q61q51q51q4\ 1q31p20p20o20n20m20m20l20k20j20j20i20h20g20g20f20e20d20d20c20b20a20a20`2\ 0_20Z20Z20Y20X20W20W20V20U20T20T20S20R20Q20Q20P20O20N20N20M20L20K20K20J2\ 0I20H20H20G20F20E20E20E20D20D20C20C20C20B20B20A20A20A2092092092082082072\ 0720720620620520520520420420420320320220220220120120010 } frm:range-y-3_jul { ; Kerry Mitchell 23jan98 ; ; colors Julia set by real part of iterate, only when ; imaginary part of iterate falls in certain range; ; range specified in terms of c ; use decomp=256 ; ; p1 = Julia parameter ; real(p2) = bailout (try 4) ; imag(p2) = decomposition scale factor (try 16) ; real(p3) = center of range (try 1) ; imag(p3) = width of range (try 0.1) ; center of range is multiplied by imag(sqr(sqr(c)+c)+c) ; calculation done on variable zc, z used for coloring ; zc=pixel, c=p1, maxr=real(p2), scale=imag(p2), iter=1 angle=0, fac=imag(sqr(sqr(c)+c)+c) lo=(real(p3)-imag(p3)/2)*fac, hi=(real(p3)+imag(p3)/2)*fac if (hi<lo) temp=lo, lo=hi, hi=temp end if : ; ; iteration ; if imaginary part of iterate falls into range, ; scale real part into decomp angle ; iter=iter+1, zc=sqr(zc)+c, r=imag(zc) if ((r>lo)&&(r<hi)) angle=scale*real(zc) end if ; ; bailout--escape and maximum iterations treated the same ; set "iteration done" flag (iter=-1) ; decomposition method will color according to last time ; imaginary part of iterate was within range ; if iterate was never in range, angle was initially set ; to 0, so decomp with use color 0 ; if ((|zc|>maxr)||(iter==maxit)) iter=-1 z=cos(angle)+flip(sin(angle)) end if iter>0 } Roger Alexander

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FOTD 13-11-10 (Juliptic Minibrot [6])
by Jim Muth 13 Nov '10

13 Nov '10

FOTD -- November 13, 2010 (Rating 6) Fractal visionaries and enthusiasts: As the name of today's image -- "Juliptic Minibrot" -- implies, today's image lies in an orientation half way between the Elliptic and Julia directions. The center of the slice is the origin of the Julibrot. The image lies just east of a larger minibrot on a kind of main spike of the parent fractal, which is shaped the same as the minibrot in today's image. Quite a bit of trickery was necessary to bring today's image to a reasonable proportion. It was necessary to expand the X-axis direction to nearly ten-thousand times its normal size. The unexpanded view of the same area is only a series of vertical stripes. A minor coloring trick -- rendering the scene with the outside set to 'tdis' -- brought just enough extra oomph to the image to qualify it as FOTD for the day. The rating of a 6 is based more on mathematical curiosity than artistic value. The calculation time of 5-1/2 minutes is slow for an image that rates only a 6. I recommend viewing the image in finished form on the FOTD web site at: <http://www.Nahee.com/FOTD/> Hopefully Paul is well enough to bring the site is up to date. The last time I checked, the last posted FOTD was November 2. Thursday began with fog here at Fractal Central, but by 9am the sun broke through, and for the rest of the day total sun prevailed, with a temperature of 57F 14C. The fractal cats made the most of the sun, which at its low angle, comes in their window quite strongly. My day was occupied with wrapping up the week's work. The next FOTD is due in 24 hours, but if it is late, an antiquing trip most likely arose on Saturday. Until whenever, take care, and be ready to sacrifice. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Juliptic_Minibrot { ; time=0:05:31.15-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot2 center-mag=-2.474863995\ 1095/0/915153/9451 params=90/0/45/0/0/0/0/0 float=y symmetry=xaxis maxiter=15000 inside=0 outside=tdis colors=000zm0KgGIkIHnKCjU7fc3cl9`hEZeJWaOUZURVZPSc\ MOhKLlGWpCet8ow4yU6STAVSEXRH_RLaQPdPSfOWiOZk97_ois\ llbjoMhr6bhFY_OTRXOIeJ9mavGUDGVHEWLCXPAYT9ZX7_`5`d\ 3`g2RbIHZX7IY6DZ6DUAAUA7UA5UA6UA6UA6NACVAIbFNjKTrH\ YzKUtNQnQNiTJcWFYZCTa8Nd5IeKTzYcelnzzyzrqzzinbapWU\ sOMvGEx97r8Cm7Gh6Lc6PZ5UU4YP4aM6KJ8`G9KDB`ADK8E`9G\ K9HcAJKAKfBLKBNiCOjCPkFUgHYdKa`MeYOiURmRTqNVuKXzQz\ rWZza`pgazmznsazpaln`zk`ji_zfzhdZgazg_YfXYeVXdSXcQ\ WbNWaLWaJx`VyYVx_Qx`MxbIwcEweAwf6wg2ue5tc7sa9q`CpZ\ EoXGmVJlULkSNiQQhOSgNU_TWTYXMcZEh_7na0sbLpaemazkav\ icsgepffldhicifakb`l_ZnXYoa_nf`mkalpbkucjl`ccZYWWR\ NULERE6P88OD9NHBNMCMQDLUFLZGKbHKfwmNsnPpoRmpSjqUgr\ WcrX`sZYt_VuaSvcOvdLwfIxhFyiCzk9zlBvjDshEofGldIhbJ\ e`HbZF`YEYXCWWBTV9RU7PS6MR4KQ3HP1FO0DN2GQ4IT6LW8NZ\ APaCSdEUfGXiIZlK`oMcrOeuPgwQfuResSdrTcpUbnVamW`kX`\ jQZlKXnDVp7Tr1Rt7SsQYAO`C } 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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Blue Swirls
by Roger Alexander 12 Nov '10

12 Nov '10

A presentation of blue swirls. Ready made at http://maxitersfractalfollies.blogspot.com Blue Swirls { ; fract504.gif noodle-ish ; blank ; calctime 0:04:06.84 ; created Nov 11, 2010 ; Fractint Version 2004 Patchlevel 10 reset=2004 type=formula formulafile=conic.frm formulaname=km_08 center-mag=-0.894769/0.249144/2.693612/1/180 params=-0.2698141422772912/-0.1384014404736473/-0.195287942136906/0.3802\ 30109561449/0.1877803888058107/0.9158909878841517/-0.9793694875942259/0.\ 6154667806024354 float=y maxiter=1500 inside=0 outside=atan decomp=128 colors=atubuvcwwdxxfzzfzzeyydyydxxcwxbvwavwauv`tv_tuZsuYrtYqtXqsWpsVorVo\ rUnqTmpSlpRloRkoQjnPjnOimOhmNglMglLfkLekKejJdjIciHbhHbhGagF`gE`fE_fDZeCY\ eBYdAXdAWc9Wc8Vb7Ub7Ta6Ta5S`4R_3Q_2PZ2PZ1OY0NX1NX2OY3PY4QZ5R_6R_7S`8Ta9U\ aAVbCWcDXcEYdFZeG_eH_fI`gJagKbhLciMdiNejOfkPgkQhlRhmSimTjnUkoVloXmpYnqZo\ q_pr`qsaqsbrtcsudtueuvfvwgwxhxxiyykzzjyyixyhwxgwxfvweuvdtvcsubrtart`qs_p\ sZorYnqXmqWmpVloUkoTjnSinRhmQhlPglOfkNekMdjLciKciJbhIagH`gG_fFZfEZeDYdCX\ dBWcAVb9Ub8Ua7Ta6S`5R`4R_3QZ2PZ1OY0NX1NX2OY3PY4QZ5R_6S`7T`8Ua9VbAWcBXcCY\ dDZeE_fF`fGagHbhJciKdiLejMfkNglOhlPimQjnRkoSloTmpUnqVorWprXqsYrtZsu_tu`u\ vavwbwxcxxbwxavw`uvZtuYrtXqtWpsUorTnqSmpRkoPjnOimNhmMglKfkJdjIciHbhFagE`\ fD_fCYeAXd9Wc8Vb7Ta5S`4R_3QZ2PY0NX1OX2PY3QZ4RZ6S_7T`8Ua9VbAXbBYcDZdE_eF`\ fGafHbgIchKdiLejMfjNgkOhlPimRjnSlnTmoUnpVoqWprYqrZrs_st } frm:km_08 { ; Kerry Mitchell 11may98 ; originally conic-near_jul16 ; tweaked by rjr 2k04 to allow user to directly input ; julia parameters previously hardcoded to 0.2882,0.0106 cc=p4, zc=pixel, maxr=1e12, minr=maxr, iter=1 a=real(p1), b=imag(p1), c=real(p2), d=imag(p2) e=real(p3), f=imag(p3): iter=iter+1, zc=sqr(zc)+cc, x=real(zc), y=imag(zc) conic=|x*(a*x+b)+y*(c*y+d)+e*x*y+f| if (conic<minr) minr=conic end if if ((|zc|>maxr)||(iter==maxit)) iter=-1 t=log(minr) z=cos(t)+flip(sin(t)) end if iter>0 } Roger Alexander

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FOTD 11-11-10 (Not a Julia Thing [8])
by Jim Muth 11 Nov '10

11 Nov '10

FOTD -- November 11, 2010 (Rating 8) Fractal visionaries and enthusiasts: A busy day means a late FOTD. Wednesday was unusually busy here at Fractal central, so the FOTD is late. Today's image lies in the parent fractal of yesterday's image. It is located in the Seahorse Valley of a distorted minibrot on the main stem of the parent, very near the point where the stem joins the main body of the Julibrot fractal. I named the image "Not a Julia Thing". On the surface it resembles an everyday Julia set, but it actually lies in an orientation rotated halfway toward the Mandelbrot direction, making it something for sure, but not a pure Julia set. The rating of an 8 includes a full point for the extra effort I put into coloring the image. The coloring creates the better part of the overall effect. The calculation time of over 1-1/2 hours that is listed in the parameter file is some kind of timing bug that sometimes appears in the fractal computer after I run the ancient 'WordPerfect 5.1 for DOS' program, which I still use after all these years. The actual calculation time is around 2-1/2 minutes. It's too bad the bug doesn't make the fractals calculate as fast as it makes the clock run. (While the bug was in effect, the calculation time for an hour-long fractal was listed as 'a very long time'!) The finished image may be seen by running the included *2-1/2* minute parameter file or by viewing it on the FOTD web site at: <http://www.Nahee.com/FOTD/> Total sun and an unexpectedly warm temperature of 61F 16C kept nearly everyone happy here at Fractal Central on Wednesday. The fractal cats actually had a bit too much sun in the afternoon, and retired to the bookshelves in the hallway. My day was quite busy, yet satisfactory, which is all I could hope for. The next FOTD will probably be posted in 12 hours. Until then, take care, and when all those predicted technolog- ical wonders finally arrive, will they be for everyone, or only for the wealthy? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Not_a_Julia_Thing { ; time=1:31:02.06-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot2 center-mag=-0.944342858\ 62/+0.000172719906/4812174/1/-40/0 params=45/0/-45\ /0/-0.75/0/0/0 float=y maxiter=5000 inside=0 logmap=614 periodicity=6 colors=00000B00D00F00I00K00N00P00S00V00Y00_01b02d0\ 3f04h05j06l07n08o09p0Aq0Br0Cs0Ds0Es0Fs0Gs0Hs0Is0Js\ 0Ks0Js0Ks0Ls0Ls1Ms2Ns3Ns4Os6Pr7Pq8Qp9RoARnBSmCTlDT\ lASm8TnAUnCVoEWpGXpIXqKXrMXrOYsQYsSYsUYsWZsYZs_Zsa\ _sc_se_sg_sh_si_sj_sk_sl_sm`sm`sm`sm`sm`sm`sm`smas\ masnasobspfsqfsrgssgssestfstgsuhsujsvksvlswmswnswo\ swpswqsvrsurstrssrsqrsqrsqssqtsqutsvtuwuwxusxvszws\ zxrzyrzzrzzrzzqzzqzzqzzqzzpzzpzzpzzpzzpzzpzzpzzpzz\ pzzmzzozznzzmzzmzzmzzmxznxzmxzlxzkxzkxzkxzkxzkxzkx\ zkxzkxzjxzjxzjvzivzhuzgvzftzetzdrzcqzarz_qzYpzWqzU\ qzQpzMpzIpzGqzGrzGsyFtxEvw8uv2su0rt0ms0is0es0as0Zn\ 0Wi0Td0Q_0NV0KQ0HL1EI1CI0AI08L09P0CT0EX0I_0Lc0Og0R\ m0To0Vq0Xs0Ys2Ys3Zs5Zs6Zs8ZsAZsBZsD`sFbsGdsIfsJhsN\ jsRlsWns`psdpshwshwshwshwshwsdrs`tsWvsRwsHlsCbs7Ss\ 2Is0Bs0Bs0Bs0Bs0Bs0Bs0Bs0Bs0Bs0Bs0Bs0Bs0Bs0Bs0Bs0B\ s0Bs0Bs0Bs0Bs0Bs0Bs0Bs0Bs } 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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