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Old Software2
by JackOfTradeZ＠comcast.net 03 Feb '13

03 Feb '13

. I zipped the FracTools3.0 CD into a single file which unzipps into an empty directory re-establishing the original CD with folder structure etc. It is 365 Meg. I could post it on my web site IF someone willing to download it ....... .

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Links to fractals for Dec 27 - 31 are up.
by Hal Lane 03 Feb '13

03 Feb '13

I'm woefully behind on adding links to my site to point to the hi-def images of Jim Muth's FOTD (and variations) that I've been creating. Fortunately, I've kept up with calculating them -- or I would never be able to catch up... I've just now added links to the fractals for Dec 27 - 31, 2012. More are on the way. Please use this link to my main page to access the images: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html Thanks, - Hal Lane ######################## # hallane(a)earthlink.net ########################

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FOTD 31-01-13 (Quadrilateral Arc [7])
by Jim Muth 01 Feb '13

01 Feb '13

FOTD -- January 31, 2013 (Rating 7) Fractal visionaries and enthusiasts: Today's image will be the last until at least February 4. We're doing a bit of remodeling here at FC. The image rates a 7. I'm not sure why I gave it such a rating. Perhaps it is the most disorganized of all time. I can spot at least a dozen themes in the scene, all trying to predominate but none winning. The arc of quadrilaterals, which inspired the name, is probably the most obvious, though several others are giving notable competition. The parent fractal came about when I combined 10 negative parts of Z^(-1.2) with 0.1 negative part of Z^(-12.2) and added (1/C) on each iteration. It consists of two well-separated parts. The main part, which lies at the center, holds a superb fractal 'fan'. The second part lies well northeast of the main part and consists of a series of rings with a well-defined minibrot within these rings. Today's scene lies at the northeast edge of the superb 'fan'. The calculation time of 3-1/2 minutes borders on slowness. And unfortunately, the image will not be posted on the official web site for several days. It will be available sooner however at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The library of FOTD back images is at: <http://www.Nahee.com/FOTD/> Today brought a mix of sun and clouds with occasional heavy showers of snow to Fractal Central. Luckily, the above freezing temperature of 34F +1C melted the snow about as fast as it fell. The fractal cat spent most of the afternoon in his watch window, chasing the sun and wondering what all the snow was about. The humans passed the day finishing the commercial work. The next FOTD will not be posted before February 4, and maybe not until a day or two later. Until whenever, take care, and as the millionaire who had just gone bankrupt said, "put the past behind you and look ahead to the future." Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Quadrilateral_Arc { ; time=0:03:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip center-mag=+1.994509076742968/+1.331693835073464/\ 1322976/1/91.75/0 params=-10/-1.2/-0.1/-12.2/0/\ 1000/0/0 float=y maxiter=2400 inside=0 logmap=246 periodicity=6 colors=000C8LJGMMHNPLPRLQVRRYTS`XTd`UgaUjfUneUplUp\ hSrnQrjPrlNqkMqjLqiJphIpgHpfFoeEodCocBnbAna8n`7ra5\ n_6kZ7hY8dX9aWAZVBVUCSRDPOELLFIIFFFFBDF8BF5AF8AJAD\ ECCEEDEHFFTFPRENPDMNBKLAIJ9HH7FF6ED5CD39C4BC4CC5EC\ 5FC5GC6IB6JB7LB7MB7NB8PB8QB9SA9TA9UAAWAAXABZAB_7AZ\ AB`DCbGDdJDeMEgPFiSFjVGlYHn`HocIqfJsiJtgLqfNoePmcR\ jbShaUf_WdZYaY__W`YVbWUdTSfRRhPGpKQiNZbQhWTpQXqPWq\ PVqOVrOUrOTrNTrNSsNSsMRsMQsMQtLPtLOtLOuKNcKNuKMcJL\ vJLcIKvIJcIJwHIcHIzHHcGGzGGcGFzFEcFEzFDmEDwECmEBzD\ BmDAzDAmEBvFBmGCsHCqIDpJDoKDmLElMEjMFiNFgOFePGdQGb\ RHaSH_THZUIXUIWVJUWJTXJRYKQZKO_LM`LLaLJaMIbMGcNFdN\ DeNCfOAgO9hP7iP6iP6hP5gQ5gQ4fQ4eR3eR3dR3dRDcKMbEVa\ 8ca2ac3`d4Ze4Yf5Wg5Vh6Uj7Sk7Rl8Pm8On9Mo9LqAKrBIsBH\ tCFuCEvDDwDFtFGrGHoIImJJkKKhMLfNMdPNaQO_RPYTQVURTW\ SRXTOYUM_VK`WHbXFcYDdZAf_8g`6hb8gd9feAegBdhCcjDbkE\ amF`oG_pHZrIYsJXuKWvLVxMU } 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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AOTD 1/18/13
by JackOfTradeZ＠comcast.net 01 Feb '13

01 Feb '13

. Zoom In2 the FOTD for 12/28/12 "Into the Aether" is posted: http://www.fractal-animation.net/vid/in2theaether.zip 25 MEG download, 90 second run time. .

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Old Software
by JackOfTradeZ＠comcast.net 31 Jan '13

31 Jan '13

. That software is: ? FracTools ? FracZooms ? FracMusic I have an old CD titled "FracTools 3.0". It contains about 400 Meg of files. If it is what you want, how can I get it to you? On another CD, there is a directory called "FRACZOOM". About 50Kb; it is a "C" program that creates a BATCH file that runs FractInt to generate zoom sequences. (Exactly what my BASIC programs do; I've never used this one so I don't know how it compares) Is that what you are looking for? As for FracMusic, I have a downloaded file called "FractMus" which runs in windows and is very sophisticated - I have used it to generate sound for my animations. It is still available on the web - google it. .

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FOTD 30-01-13 (Cubic Elephant Land [7.5])
by Jim Muth 30 Jan '13

30 Jan '13

FOTD -- January 30, 2013 (Rating 7.5) Fractal visionaries and enthusiasts: Today's semi-glorious image is a simple view of a cubic minibrot in the eastern Elephant Valley of the Z^3+C Mandeloid. (The parent fractal also has an elephant-type valley on the west side of the main bay, but this valley simply mirrors the eastern one.) I chose this particular minibrot because it is a good example of anti-trifurcation, and also because it is an unusually impressive scene in the cubic Mandeloid. The rating of 7-1/2 includes an extra half-point as a reward for the extra effort I put into the flashy coloring. The name "Cubic Elephant Land" is a comment on the exponent of Z and also the cubic elephants that abound all through the scene. The calculation time of 40 seconds is fast by anyone's standards, but the FOTD web sites are always available to make the operation even simpler. Be happy! View the image already calculated at: <http://www.crosscanpuzzles.com/Archives.html> Be happier! See it in high-definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Be happiest! Find thousands more fractals at: <http://www.Nahee.com/FOTD/> The heavy clouds hung on here at Fractal Central today, inter- spersed with heavy showers of rain. The temperature reached a spring-like 64F 18C but could not be enjoyed with rain falling so frequently. Nicholas, the fractal cat, checked the weather outside several times, but spent most of the day asking for more food. The humans, being human, did human things. The next FOTD will eventually be posted, most likely sooner rather than later. Until whenever, take care, and regardless of how bleak the outlook might be, remember that it could always take a turn for the worse. (Then try to think positive.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= CubicElephant_Land { ; time=0:00:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=slices.frm formulaname=MandelbrotCube center-mag=+0.415415021\ 13021440/-0.00759289279330656/4.707256e+011/1/7.5/0 params=0/0/0/0 float=y maxiter=1800 inside=0 logmap=257 periodicity=6 mathtolerance=0.05/1 colors=000KBzKAzK8zK6zK4zK2zK0zH0zE0z90w60r30n00i0\ 0e00a00Y00U00R00P00N00J00G03C0690970C60G30J10N00R0\ 0P00N10N30L40J60J70H90G90GB0EC0CE0CG0BH09J09J0CN1G\ R7JSMNWTRYcSajWcnagtcizcnzfpzckzYgzSezNazJ_yEWy9Uw\ 4Rt0Nr0Lp0Hm0Gj0Cf0Bb06Z01V00Q00L00G00B00600100000\ 10031063074BB6NC7YG9kHBzJBzG4zE0wC0nB0g70_60S40L30\ G00C0090060440C10L0AU0Ke0Up0cz0mz0cw0Ug9aUNzH_rPRk\ UHe_9_e1Uk0Pr0_0zW0yU0tR0pP0kL0gJ0aG0YE0UB0R90N00N\ 00N00N00S34WEG_SSceegg__gWSgRNgNGgJ9gE4iM0pL0zT0zZ\ 0zc0rR0Y70GE0430000140410760B30G00J00N00R00W00_03c\ 06g09_07S07L07E077773G60P60Y60Y60Y60Y60Y30Y10Y00Y0\ 0e00r00p00n00r00w04z0Bz0Jz0Rz0_z0gz0rz0zz0zz0zz0cz\ E4zW0zp0zw4zzLzzczzyzzzzzzzzzzpzzgzzYzzRzzHzzBzz3z\ z0zz0zz0zz0zz0wz0nz0ez0Yz0Rz3Hz7BzB4zG0zL0zR0zU0zN\ 0zH7kBEn6Nn0Up0ap0eW1gECi0P0C_3GW6JS9NPCRLGUHJYENa\ 4Se0Yi0an0_g0Yc0YY0WU6WPE } frm:MandelbrotCube {; Jim Muth real(c),imag(c) z=p1, c=pixel+p2: z=z*(sqr(z))+c, |z| <= 16 } END PARAMETER FILE=========================================

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FOTD 29-01-13 (Grozny [8.5])
by Jim Muth 30 Jan '13

30 Jan '13

FOTD -- January 29, 2013 (Rating 8.5) Fractal visionaries and enthusiasts: Today's image is named "Grozny", a russian word that describes Ivan the Terrible. The exact meaning of the word is somewhere between 'terrible' and 'awesome', kind of how God will appear to Christians when they come face-to-face with Him on judgement day. The name is exaggerated, but it's what came to mind this afternoon when I shut down my thinking. The image does rate an 8-1/2 however, mostly because of its striking coloring. The scene of the action lies in the detail on the 'east' side of the large minibrot on the west branch of the stem extending from the large bud on the north side of the main bay of the parent fractal, which is a Mandelbrot set corrupted in its depths by cubic energies. Now that the description is out of the way, I might add that the image is really a rather pleasant one, well worth the mere 35 seconds required to calculate it on S.O.T.A. computers that are not over-educated. Those whose computers are over-educated and have forgotten how to do DOS, can view the image on one of the FOTD web sites. The completed image is posted on the Official web site at: <http://www.crosscanpuzzles.com/Archives.html> And check the awesome high-definition renderings at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are online at: <http://www.Nahee.com/FOTD/> Heavy clouds, dense fog and a temperature of 41F +5C made today easily forgettable here at Fractal Central. The fractal watch cat spent the morning watching for trouble and the afternoon by the heat, recovering. The humans spent the day doing routine things too boring to report. The next FOTD will be found in a few hours and posted most likely in about 24 hours. Until whenever, take care, and since both the political left and right know what is best for the country, and there can be only one thing that is best, why can't they get together and do it? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Grozny { ; time=0:00:35.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=-0.1238205930813758/+1.032225706886118/\ 2.948051e+009/1/-59.5/0 params=3/20/0/0 float=y maxiter=900 inside=0 logmap=36 periodicity=6 colors=000D_hC_iB_dA_`9_e8Vb7Q_6LV5GP4CK39G25B0203\ AT2Ib19Ji5na4eU3YN2PF1H708zzzvvvrrrmmmhhhcccZZZUUU\ PPPKKKFFFAAA000q12m01d01`01X01T01P01K00G00C0080040\ 0gPL`LIVHFPECIA9C766336bP5_N5XL4UJ4RH3OF3LD2IB2F91\ C7195OLULJSJIQMLPPOPSQOVTOYVO`YNc_NfbMidMlgMoiLrlL\ umKvoKwqKzsIzuGzwFzqDzmCzmATm90m4Om7Jm6Em49m34m10m\ N0mJ0mF0mB0m70m3MkfKfbIbZGYVEURCQNALJ8HF6DB4mz2mzU\ mzUmzUmzUmzUmzUmzUmzUmzUmzUmzUmzUmzUmzUmzcmzcmzcmz\ cmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzmzxmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzHzPEzLCzIAzF8zC\ 6z94z62z3OzTJzNEzH9zB4z55zx2zUHzIDzEAzA6z73z3bzuTz\ fJzT9zEszxnzrizmezh`zcWzZSzUNzPIzKEzF9zA4z5Ezs9z`4\ zIyz4qz3iz3az2Vz2Nz1Fz17z0Izn4zY3zU3zQ2zM2zI1zF1zB\ 0z70z3IzeOzcGzQ8zDiz2Yz1Nz1Bz0nzzjzufzqczl_zhWzcTz\ _PzVLzRIzMEzIAzD7z93z4Ezl } 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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FOTD 28-01-13 (Un-natural Arch [8])
by Jim Muth 28 Jan '13

28 Jan '13

FOTD -- January 28, 2013 (Rating 8) Fractal visionaries and enthusiasts: Today's image is a scene in Seahorse Valley. It looks nothing at all like the Seahorse Valley scenes we are so familiar with because it is sliced in an odd direction -- rotated 30 degrees from the Julia toward the Rectangular orientation. While viewing the image, (and hopefully enjoying it), the viewer might wonder where Seahorse Valley is located in the frame. Actually, the valley has gone nowhere. The image is immersed in it. Everything in the scene is a part of the valley. The detail in the arch was supplied by the 'tdis' outside coloring option, which colors the points according to how far they travel before finally escaping. I named the image "Un-natural Arch" because of the prominent arch that fills the frame. It almost reminds me of a week or so I spent in Saint Louis quite a few years ago. The rating of an 8 might be a bit excessive. But then again, what is the penalty for padding a rating. The calculation time of 4 minutes is slower than ideal, but the web sites are always available to make life more efficient. So save that time. Check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> and the high-definition renderings at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back FOTD's are available at: <http://www.Nahee.com/FOTD/> The day began with snow here at Fractal Central, but a rising temperature changed to snow to rain before noon. Occasional rain continued the rest of the day, making a slushy mess of the area. The fractal cat took one look out the window and decided to settle down by the heat. The humans had enough inside stuff to finish to keep their minds off the outside weather. The next FOTD will be posted in the very foreseeable future. Until whenever, take care, and why do they need exploding fireworks at music concerts? Does today's music itself lack power, or have audiences become so desensitized that in addition to the amplified sound, they now need a light show to create total sensory overload? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Un-natural_Arch { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=t maxiter=3600 center-mag=0.0774812/-0.0170439/20.36076/1/-90/6.0\ 8852815419518389 params=90/90/60/90/-0.753/0/0.5/0\ /2/0 float=y inside=0 outside=tdis periodicity=6 colors=000I3I_FWpQijSeeUa`WYVYUQ_QLaMFcIAeE5gA0i66\ e8Ca9HYBNUCTQDYMFcIGhEHfHGeKFdNFcQEaTE`WD_ZDZaCYdC\ DsKFrMHrNJqOLqPNpQPpRRoTToUVnVXnWZmX_mY0yDUsRwndm7\ zg9xaBvWDtQFrKHpFJnMKgTK`_KUeKOlKHsKAyP4sU7mZAgcCa\ fFWiIQnKPo8Qr7Qw6Qo5Ql5Qi4Qd3Q`3QX2QT1QP1MW1Ha1Di1\ Fo4Go7HiAJhCKgFLfINeKOeNPdQRcSSbVTaYV`_W_bXZeYZg_W\ iaUjcRlePmgMniKpkHqmFsoCtqAus7wu5xw3ysCwpLvmTtjasg\ iqdrpazo`vn`sn`pn`mm`jm`fm`cl``l`Yl`Vk`Rk`Ok`Lj`Ij\ `Fj`CjZEhXGgVIeTKdSMcQOaOQ`MS_KUYJWXHYVF_UDaTBcRAe\ Q8gP6iN4kM3lLWq`Wq`Xr`Xr`Yr`eEJeELeFMeGNeGPeHQdHRd\ ITdJUdJVdKXdKYdLZdM`cMacNbcNdcOecPfcPhcQidPlcQjcRi\ cShbTfbUebUdaVbaWaaX`aYZ`ZY`ZX`_V_`U_aT_bR_cQZcPZd\ NZeMYfLYgJYhIjeLYhHLkD9mABnBDoBEpBGpCIqCJrCLsDMsDO\ tDQuERvETvEVwFWxFYyFZyFYvIXsKXpMWmOVjQVgSUdUUaWTZY\ SW`STbRQdRNfQKhPHjPElOBnO8pCRJBSLBTMBUNBVOBWPBXQBY\ RBZSB_TB`UBaVBbWBcXBdYAeZ } frm:SliceJulibrot4 {; draws all 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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FOTD 28-01-13 (Un-natural Arch [8])
by Jim Muth 28 Jan '13

28 Jan '13

FOTD -- January 28, 2013 (Rating 8) Fractal visionaries and enthusiasts: Today's image is a scene in Seahorse Valley. It looks nothing at all like the Seahorse Valley scenes we are so familiar with because it is sliced in an odd direction -- rotated 30 degrees from the Julia toward the Rectangular orientation. While viewing the image, (and hopefully enjoying it), the viewer might wonder where Seahorse Valley is located in the frame. Actually, the valley has gone nowhere. The image is immersed in it. Everything in the scene is a part of the valley. The detail in the arch was supplied by the 'tdis' outside coloring option, which colors the points according to how far they travel before finally escaping. I named the image "Un-natural Arch" because of the prominent arch that fills the frame. It almost reminds me of a week or so I spent in Saint Louis quite a few years ago. The rating of an 8 might be a bit excessive. But then again, what is the penalty for padding a rating. The calculation time of 4 minutes is slower than ideal, but the web sites are always available to make life more efficient. So save that time. Check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> and the high-definition renderings at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back FOTD's are available at: <http://www.Nahee.com/FOTD/> The day began with snow here at Fractal Central, but a rising temperature changed to snow to rain before noon. Occasional rain continued the rest of the day, making a slushy mess of the area. The fractal cat took one look out the window and decided to settle down by the heat. The humans had enough inside stuff to finish to keep their minds off the outside weather. The next FOTD will be posted in the very foreseeable future. Until whenever, take care, and why do they need exploding fireworks at music concerts? Does today's music itself lack power, or have audiences become so desensitized that in addition to the amplified sound, they now need a light show to create total sensory overload? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Un-natural_Arch { ; time=0:04:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=t maxiter=3600 center-mag=0.0774812/-0.0170439/20.36076/1/-90/6.0\ 8852815419518389 params=90/90/60/90/-0.753/0/0.5/0\ /2/0 float=y inside=0 outside=tdis periodicity=6 colors=000I3I_FWpQijSeeUa`WYVYUQ_QLaMFcIAeE5gA0i66\ e8Ca9HYBNUCTQDYMFcIGhEHfHGeKFdNFcQEaTE`WD_ZDZaCYdC\ DsKFrMHrNJqOLqPNpQPpRRoTToUVnVXnWZmX_mY0yDUsRwndm7\ zg9xaBvWDtQFrKHpFJnMKgTK`_KUeKOlKHsKAyP4sU7mZAgcCa\ fFWiIQnKPo8Qr7Qw6Qo5Ql5Qi4Qd3Q`3QX2QT1QP1MW1Ha1Di1\ Fo4Go7HiAJhCKgFLfINeKOeNPdQRcSSbVTaYV`_W_bXZeYZg_W\ iaUjcRlePmgMniKpkHqmFsoCtqAus7wu5xw3ysCwpLvmTtjasg\ iqdrpazo`vn`sn`pn`mm`jm`fm`cl``l`Yl`Vk`Rk`Ok`Lj`Ij\ `Fj`CjZEhXGgVIeTKdSMcQOaOQ`MS_KUYJWXHYVF_UDaTBcRAe\ Q8gP6iN4kM3lLWq`Wq`Xr`Xr`Yr`eEJeELeFMeGNeGPeHQdHRd\ ITdJUdJVdKXdKYdLZdM`cMacNbcNdcOecPfcPhcQidPlcQjcRi\ cShbTfbUebUdaVbaWaaX`aYZ`ZY`ZX`_V_`U_aT_bR_cQZcPZd\ NZeMYfLYgJYhIjeLYhHLkD9mABnBDoBEpBGpCIqCJrCLsDMsDO\ tDQuERvETvEVwFWxFYyFZyFYvIXsKXpMWmOVjQVgSUdUUaWTZY\ SW`STbRQdRNfQKhPHjPElOBnO8pCRJBSLBTMBUNBVOBWPBXQBY\ RBZSB_TB`UBaVBbWBcXBdYAeZ } frm:SliceJulibrot4 {; draws all 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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FOTD 27-01-13 (The Lost Spiral [7+])
by Jim Muth 27 Jan '13

27 Jan '13

FOTD -- January 27, 2013 (Rating 7+) Fractal visionaries and enthusiasts: Today's image shows a slice of a spiral that lies in the Seahorse Valley area of the Z^2+C Julibrot, a fact that is confirmed by the name "The Lost Spiral". But the image holds no spiral. Instead, it shows a series of concentric rings which break apart into two separate spirals near the center. So what is wrong here? Where is the spiral? Actually, we are looking at a slice of it. Everything in the image is a part of the same great spiral, but sliced in an odd direction. Fractal spirals are four-dimensional things that twist and turn in unimaginable ways, and when sliced in odd directions can produce the most unusual cross-sections. The full 4-D 'object' that is sliced by today's image does not actually appear on the screen. It lies in the nearby hyper- space. The two small spirals at the center are actually two slices of the same hyper-object, which is twisted in 4-D space so that today's image slices through it two times, exactly as a slice through the center of a single donut would produce two apparently separate circles. The outer rings correspond to the rings produced by a slice through a set of nested spheres. The image rates a little over a 7. The plus sign is due to the minor math interest, which adds very little to the artistic worth. Incidentally, the image has been stretched and skewed to a significant degree to clarify the features. The coloring detail of the image was created by rendering it with the outside set to 'tdis'. I would be the first to agree that the calculation time of 7-1/2 minutes is slow. Have no worry when nothing appears on the screen for a minute or two. It takes a while for the calculation to reach the rings, which do not intersect the edges of the frame. All these problems can be avoided however by visiting the web sites. The fastest way to view the spiral fragment is to view it on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> High definition variations are posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Though with such slow images as we have had recently, there might be a delay in calculating and posting them. The historic back images are available at: <http://www.Nahee.com/FOTD/> The day here at Fractal Central began with a very chilly temper- ature of +5F -15C. But with clear skies, light winds and an unusually strong sun, it rose to an afternoon high of a rather pleasant freezing. The fractal cat took full advantage of the sun, spending the entire afternoon on his shelf in the southwest window. The humans, meanwhile, took it as easy as possible. The next FOTD will be posted in a minimum of 24 hours, a maximum of who knows what. Until whenever arrives, take care, and first we have inventions, then the inventions become luxuries, and then the luxuries become one more technology-based necessity that we could not possibly survive without. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Lost_Spiral { ; time=0:07:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=t center-mag=-0.09292496257779437/-0.094383497537425\ 95/104097.2/0.01534/-28.0422538333465177/-74.32609\ 02171528954 params=78.41120639667959/58.8488418225\ 6538/89.81383709219642/-44.26099429303873/-0.7537/\ 0/-0.5/0/2/0 float=y maxiter=3600 inside=0 outside=tdis periodicity=6 mathtolerance=0.05/1 colors=000Z8eb7bf6_j6Xn5Ur4Rv3Ow7Qz3Lz9IzEFzKDzPAz\ V7z_5yb7ye9xhAxkCwnEwqFvtHvwIpqJkkJfeJ``KWVKRPKGGG\ MKKRONWSRaWUf_Yngkkb`hYQfTFxrRjrSXrTJrU2sZ5rV7qRAq\ OCpKFoGHoDkaKjbHicFhcCfcAfbEfaIe`Me_QdZUdYYdXacWec\ UibTmbSqbRucPscOqdNodMmeLkeKjcMkbNl`Pl_QmYRmXTnVUn\ UWoSXpRYpP_qO`qMarLcrJdsIftGgtFhuDjuCkvBlvJgrRboZY\ lfThnOeuJbn`7lcAkfDjhGikJhmMgpPfsSeuVdxYcz`YyXSxTM\ wPGwMDuPAtS8rV5qY3p_4lU4iP5fK5cF5`A9aDDbGHbJKcMOcP\ SdSQeXVdVZZRaTNcOKcIGcF7cDD`BJR9PG2bI8VKEOMKHJF2NP\ ARZIVhQapUZqYXraUseStiPumLxwNvpOuiQsbRrWSqQQkTOeWM\ _ZLVaJPdHJgFDjE8lEiwGdqI_kJVeLQ_NLUJ3JOGOTTSXeWa`X\ fWXjRYoMYtHZxDZbjiZjkWjmTjoPjqMjsJjtLcuMYvOSwPMxeK\ XuI5xe3pdCicKbcSWb`PbhIapBaxA`rA_l9_f9Za8ZW8YQ0ZM8\ YLGYLOYLWXKcXKkXKrXKs_IsaHsdFsfEshCskBsm9so8mn9hm9\ clAZkAUjBPiBKhCFgCMeFTcHZbJe`LlZNrYPk`NebMZdLTfKMh\ JGjIJdMMZPPUTROWUJ_XDbV9h } frm:SliceJulibrot4 {; draws all 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), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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