January 2008 - Fractint - mailman.xmission.com

FOTD 07-01-08 (Web of Iterations [6.5])
by Jim Muth 07 Jan '08

07 Jan '08

FOTD -- January 07, 2008 (Rating 6.5) Fractal visionaries and enthusiasts: Today's discussion will be as brief as the calculation time of the image is long. The image is located in the Seahorse Valley of a minibrot lying in the star of the period-11 bud on the southern shore of East Valley of the Mandelbrot set. With nothing better to do, I named the image "Web of Iterations" and rated it at a 6, with an extra half point added for my coloring. The image's calculation time of over 46 minutes makes the trip to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> by far the better choice. Sunday turned cloudy here at Fractal Central, but a temperature of 50F 10C and dry weather made it pleasant despite the clouds. The local fractal cats enjoyed the pleasant weather from the comfort of their window shelf, while I enjoyed it from outdoors. The next FOTD will be posted on schedule in 24 hours. Until then, take care, and ponder deeply. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Web_of_Iterations { ; time=0:46:24.11-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=0.3219145087671323544/-0.03521313068405\ 13645/2.315541e+014/1/30/0 params=0/0 float=y maxiter=7500 inside=0 logmap=2180 periodicity=10 colors=000G6JPdFLbGH_GDYH9VH2UG6TH9SICRJFQKIPLLOMP\ NNSMOVLPYKQ`JRlHJcIRVJZMKfAacDKmA0zG3vL5sQ7pW9m`Ci\ eEfkGcpI`uKYtNVsPTrRRqUPpWNpYLo_JnbHmdFlfDjf7lhBmi\ EnjIplLqmPrnStpWuqZvrasn`pk`mh`je`gb`dZ`aW`ZT`WQ`T\ N`WFeQK`KOWFTS9XN4`J6WT7Sa8Oj9KsAKrBKqBKqCKpCKpDKo\ CIpDKoDMoEOoEQoFSoFUoGWoGYoH_oD`qHaoLanPamSalWak_b\ jbbifbhjbgji`mbfpWkrPpqOiqNbqNWpMPpLIpLCnMBlNBjOAh\ PAfQAdR9bR9`S8ZT8XU8YV7ZW7_W5`W7aY8c_9e`AgbBidCkeD\ mgEoiFqkGslHunIwpJytHpqKhoN`lQTjTLgWBgWDeYEdZFc_Hb\ `IaaJgbKmcMmeNmfOmgPmhRmiShiTciUZiVUgVKeVAcV0bV0aW\ 0aW0aW0cW0cZ0aa0Zd0Wf0Td0QX0NX0KbOczebzKwzvbzkgYak\ QSoIIsJLpKNnLPlLSjMUgNWeNYcO`aPb_QdXQgVRnTStRSzPEk\ mIenL`cOWURRKUMKXHK_CK_5Ub7cn9mhAqoCozEmtEmzXlmGlz\ YkzRkcJk`wjYLjVMjSciOOiLmiImhFRh5NkCRhJUeQXbX_`cbY\ jeVqhSyjRwzQuzPszzqzzozzmzzzzzzzzzzzzzzzzzbsz`tzZu\ zYuzWszVqITpLSnOQmRXiETgF } END PARAMETER FILE=========================================

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FOTD for Jan. 07, 2008
by JimMuth＠aol.com 07 Jan '08

07 Jan '08

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FOTD 05-01-08 (Simply Too Much [No Rating])
by Jim Muth 05 Jan '08

05 Jan '08

FOTD -- January 05, 2008 (No Rating) Fractal visionaries and enthusiasts: Today's image has a plethora of goodies. It has too much of everything -- too much detail, too many colors, too many themes, and it takes too much time to calculate. With all this stuff to consider, I could not decide on an honest rating. I finally let it go un-rated. The name "Simply Too Much" tells it all. The image is actually a scene in the Seahorse Valley of a mini- brot deep in an elephant trunk in East Valley of the Mandelbrot set. The elephant stuff in the image is quite obvious, though it takes a bit longer to spot the seahorse stuff. The image gave me quite a fight as I tried to color it. I tried nearly every option at thumbnail size before deciding on a straight palette. The calculation time of 38-1/4 minutes is far too slow for an unrated image. Try viewing it instead on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Friday turned warmer here at Fractal Central, but a high temperature of freezing is hardly balmy. And when the sun vanished behind clouds in the afternoon and a wind sprang up from the east, it felt every bit as cold as Thursday. The fractal cats passed the day lounging by the heat. My day was rather busy, which left too little time for the fractal. Tomorrow promises to be slow, so the fractal will likely be better. Until then, take care, and if common sense tells you it's true, common sense might be leading you astray. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Simply_Too_Much { ; time=0:38:15.01-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=0.3439483463116016330630741/-0.05608209\ 31295550270018991/4.983e+019/1/-142.5/3.8857805861\ 8804789e-016 params=0/0 float=y maxiter=5000 bailout=6 inside=255 periodicity=10 colors=000zCWzESzFPzHMzIJzIGzIDzJGzKIzLKvMMsNOpOQl\ PSiQVfRXbSZ_T`XUbTVdQWfMbbN_eNXhNUjNRmNPpNMrNJuNGx\ JBzNEzQGzTIyWKyZNxaPxdRwgTwjWvmYvp_utbvsausatr`sr`\ rq_qq_pq_ppZopZnoYmoYlnXknXloXmqXosXquXswXuyXwzWyv\ _xocvhguaksWorTqoQsmOtkLviIxfGydDzbBz`IybOvdUse_pg\ emikjjqglwemvfhufctgZsgUyc7weEufKsgQqiWojamkgklmRz\ zPzzOzzNzzMzzLzyKzxIyxHxwGxvFwvEvuDutByzCwwCutDrqD\ onElkEihFfeFccGa`G_YHZVHYSIWPIUMJSJIQ5JNBJKHKFMKAS\ LAYLAbMAhzzzzzzzzyzzxzxwzuvzrwzoxzlyzjzzgzzdzzazzZ\ zxWvvVruUrwUtyUxwXzvZyu`wtbtsdrqgopimokjnmhmoekrcj\ t`ivZhxWhyRgzUgxXfvZfsaepdemfejicgladn_aoYZpWWrUTt\ SQvRMxGIzHDvHEqIFmJGiJHdKF`LDXLASMAOHANJAMLALMAKOA\ JQFIRIIUHHXGG_FFbEEeDDhC6eD9bDB_DDXDFUDHTDJQDMNDOL\ DQIDSFDURBRVBUABVDDWFEWIGWKHWNIWPKWSLWUNXXOXZPXaRX\ cZXfhXhrXzzOtrTjhX`ZaPVkRIhSLeTPbUS_VWXWZUXbRYeOZi\ L_lI`oFVi7UbmaZghUbpQXxLR } END PARAMETER FILE=========================================

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FOTD 04-01-08 (Watered Elephants [7])
by Jim Muth 03 Jan '08

03 Jan '08

FOTD -- January 04, 2008 (Rating 7) Fractal visionaries and enthusiasts: A visionary is one who concerns himself with imaginary things; imaginary things exist only as images in the mind, and are there- fore not real. A fractal visionary is one who concerns himself with fractals. Since fractals are imaginary things, they are not real. Only the seriously disturbed confuse imaginary things with real things, therefore one who concerns himself with fractals is out of touch with reality, and in need of help. But it sure is a lot of fun living in a world where the unreal can become real at the touch of a computer button. There must be different kinds of reality surrounding us. Now as for Santa Claus . . . Today's fractal might or might not be real, but regardless, it rates an honorable 7. It is a scene near the same minibrot that held yesterday's image. But today, instead of checking the mini- brot's Seahorse Valley, we check its East Valley. What we find there is a typical East Valley scene filled with Seahorse Valley elements. I'm sorry pachyderm fans, but I could find no obvious elephants in the image. I guess they all sank in the seahorse water. For this reason I named the image "Watered Elephants". Being in the same area of the M-set as yesterday's image, today's image is nearly as fast. But why bother with the calculation speed? It's just as simple and nearly as fast to view the finished image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Lots of sun but frigid temperatures around 19F -7C prevailed here at Fractal Central on Thursday. The fractal cats hugged the heat most of the day, while I waited for the first work of the new year to come in. The next FOTD will appear seemingly from nowhere in 24 hours, and return to nothingness as soon as the computer is shut off. Until then, take care, and are frac- tals animal, vegetable, or mineral? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Watered_Elephants { ; time=0:00:19.53-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-0.7418\ 527152462948/+0.143746626232636/9.536791e+012/1/\ -35.5/0 params=0/0 float=y maxiter=6400 bailout=36 inside=0 logmap=-1300 mathtolerance=0.05/1 colors=000HEKPbgO`hO_iOZiP`iQaiRbiSdiVeiciimmzvrzz\ yzzzzzzzzzzzvvzrmzmezhd9zY8zUBzVDzWFzXHzYJzZLz_Nw`\ PraRwbTwcVwdXwdVrbUmaTh_ScZQZXPUWOPUNKTLFSKAQJAPIA\ NGAMFAKEAJDAIJFGOJFTNEZRDcVBhZAnb9sf8xj7xeAz`CvVEr\ RHrMJpHLoDNkEMhFLdGKaHJ_HIXHHUGGRGFOFEMEDJDCGEBDGA\ BM9FQCJWEMaGQfJUkLXoN_kOagOdcOf_OhWOkSPmOPpKPrGPtD\ PnPLi_HdjD_uATiMNZYHOiBDtAMlASdAQYARQARJBWICRICRID\ RIDWIEWIEVIFZIFZIGZIGZIHZIH_IJZHLZGNZFPYFRWESVDUTC\ WSCYRB_PA`O9bM9dL8fJ7hI6iH6lKCnMIpONrQTtSZvUcxWizY\ nZRM`TOaUQbVRcWTdXVeYWfZYg__h``iabjbdkceldgmehdcgX\ afO_eGYeJWcMVaPT_SSYVRXXSWYTW_TV`UVaVVcVUdWUeXUgXT\ hYTiYTgaWedZch`akc_oeYrhWujYph_kfafdbabdX`fSZhNXiI\ WmCPq6JfIHXUFMeDCpBGkEKfHOaKSYNWTQ_OTcJWfFZ6kJCbTH\ VbMNlRFuaQmk`eujZp_RkQJgGChFHhEMhDQiCViB_iBceJYaQT\ Kfg3vvBsrJpoRmlYjiegfmdcta`7DrCGmHIhMKcRMZWOU`QPeS\ LkXXq`gvdrXOH_NObNUDQfBYa } END PARAMETER FILE=========================================

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FOTD 03-01-08 (Diamond Seahorse [8.5])
by Jim Muth 03 Jan '08

03 Jan '08

FOTD -- January 03, 2008 (Rating 8.5) Fractal visionaries and enthusiasts: In today's image we view Seahorse Valley from the Mandelbrot ori- entation, and check the Seahorse Valley of a minibrot that lies deep in the parent Seahorse Valley. The result is a very attrac- tive fractal with double seahorse features, which lies right at the limit of conventional math, making the mathtolerance entry necessary. The name I gave the image, "Diamond Seahorse", fully explains itself. The rating of an 8-1/2 credits me with 1/2 point for the coloring. The colors are good because things are slow around F.C. today, and it's always easier to create good colors when there is extra time to work on them. The calculation time of 5-1/2 seconds is no mistake. This is how fast the P4-2000mhz machine runs the speeded-up type=mandel formula. Today's image is one of the few FOTD images that calculates in less time than it takes to stop at the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the finished image there. But the calculation time does not include the time required to set up the parameter file for calculation, so in the end, it is still both faster and simpler to visit the web site. Wednesday was sunny but cold here at Fractal Central, with an afternoon temperature of 26F -3C and a biting wind from the northwest. The fractal cats put their noses to the window, then decided it was best to stretch out on their broad warm shelf over the radiator. My day was slow, which permitted the extra work on the colors of today's FOTD. The next fractal in the near-endless series will be posted in 24 hours. Until then, take care, and where do we go from here? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Diamond_Seahorse { ; time=0:00:05.34-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-0.7418\ 546457524966/+0.143748516797246/6.5e+012/1/-7/0 params=0/0 float=y maxiter=6500 bailout=36 inside=1 logmap=1580 periodicity=10 mathtolerance=0.05/1 colors=000hendbi`_eXYaUVYQSTMQPINLFKHBIC7F83C40A05\ 93A95F97K99P8CU8EZ8Gb8IcBJdDKeFLeHLfJMgLNgNOhPOiRP\ iTQjVRkXRkZSl`TmbUmdUneXofZpgaphcqifrihsjkskmtlpum\ rvnuvnwsmuqlsokrmjpjinhhmfgkdfibeh_dfYcdWbcUaaSa`Q\ bZOcYMdWLdVJeTHfSFgQEgPChNAiMAiL9hLCeJFbII_GKWFNTE\ QQCSNBVJAYG8`D7b96e64h33j02i17i2Ch3Hh4Lg5Qg6Vf7_f8\ ce9heAmdBrdBveArfAogAkh9hi9ej9ak8Zl8Vm8Sn7Po7Lp7Iz\ 5Hq7Fi9DaBBTD9LF73C7DH6NM6WR5eW5n`5oWDoRLoMToH`oCh\ o7pnBmnFknJinNgmQdmUbmY`maZldWlhUllSlpQkxLlsOloRlk\ TlgWlcZrZ`vVdzRgzNjzJouFrmDrhCr`BrXArT9rQ8rM6rI5mE\ 4hA3c62Z31U53P74K95FB6AD7AE9AGAAIBAKCAMDFKFHKEJKDK\ LCLMBMNANO9OP8PQ7QR6RS5SU4TW5NY6Ic7Cg77jB6gF6cJ5`M\ 5XQ4UU4cY4m`3zd3zh2vl6roAmpFmpKmqPhqUjrZcrchrhmsmr\ srvtvzwzzzzvzzszzozzlzzizzevzawzZvzWuzTtzQszNrzJqz\ KpzLozMnzNmzNmzOmzPmzQmzQmzVwzZwzcwzgwz_wzTwzXmz`m\ zdmzhmzlmzpmztmzxmzwmzvmz } END PARAMETER FILE=========================================

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FOTD 02-01-08 (Aurora Fractalis [9.5])
by Jim Muth 02 Jan '08

02 Jan '08

FOTD -- January 02, 2008 (Rating 9.5) Fractal visionaries and enthusiasts: In yesterday's FOTD I did much talking and little coloring. In today's I have done much coloring and little talking. But then, an image that rates a 9-1/2 and calculates in one minute doesn't need words to get its message across. The image is an oblique slice of Seahorse Valley. The orienta- tion is halfway between the Oblique and Rectangular directions. A moderate amount of skewing and a slight stretching was neces- sary to create the cold mystical effect. The rating of 9-1/2 might be a bit liberal, but I really do think the image rises above the normal mass of FOTD fractals. The name "Aurora Fractalis" is a phrase that came to mind as I studied the image. The calculation time of 1-1/4 minute will be no problem for even the most hurried fractalist. And as always, the finished image is or soon will be posted for instant viewing on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Tuesday was really not such a bad day here at Fractal Central. There was lots of sun and the temperature reached 43F 6C. Only a brisk wind kept the day from being near perfect for early winter. The fractal cats did not worry about the weather. For some reason, they were too busy sulking at each other. My day was slow, which gave ample time to find and work on the FOTD fractal. The next FOTD will be posted in 24 hours. By then the familiar old work-day routine will be back in effect. Until next time, take care, and be at peace with the universe. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Aurora_Fractalis { ; time=0:01:14.43-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot2 center-mag=-0.155155/\ 0.643015/3.45136/1.0763/-90/20.2819418025888787 params=45/90/0/90/-0.7505/0/0/-0.35 float=y maxiter=32767 inside=0 logmap=5 periodicity=10 colors=000EPSFKSFKSFKSGKSGKTHKTHKTIKTIKTIKUJKUJKUK\ KUKKUKKVLKVLKVMJVMJVMJVNJWOKWOLWPLWPMWQNWQNXROXRPX\ SPXSQXTQXTRXURYUSYVTYVUYWVYXVYXWYYXZYXZZYZZY__Z`__\ a`_b`_ca`daaebafbbgcdhbfiahhcjieljhnkkqlnqnqtqtvtw\ wwzzzwxwtutqtqoqnmpmkpmiomholgnlfmkemkdljckjbkjaji\ `ji_ihZhhYhgXggWggVffUefTeeSdeRcdQcdPbdObcNacM`bL`\ bK_aJZaIZaHY`GY`FX_EW_DWZCVZ9WYBVZCV_DU`EUaFTbGTcH\ SdISeJRfKRgLRhMQiNQjOPkPPlQOnROoSNrTNtUNvVNuUNuTNu\ TMsSLqRLoRKmQKkPJiOIhOIgNHfMHeMGdLFcKFbKEaKE`KD_KC\ ZKCXKBWKAVKAUK9TK9SK8RK7QK7PK6OK6NK5MK4LK4KK3JK3IK\ 2HK1GK1FK0EK0DK0EK0EK0EK0EK0EK0EK0EK0EK0EK0EK0EK0F\ K0FK0FK0FK0FK0FK0FK0FK0FK0FK0FK0GK0GK0GK0GK0GK0GK0\ GK0GM0GO0GQ0GS3HS5HS7HS9HSBHSDIRFIRHIRJIRLIRNJRPJR\ RJQTJQVJQXKQZKQ`KQbKQcKQdKZOVYPTXPSWQRWQQVROURNTRM\ TSLSSJRTIQTHQTGPUEOUDNVCNVBMW9LW8KW7KX6JX4IY3HY2E_\ 0GZ1HY1IY2JX2DRRDQRDQREQR } 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 01-01-08 (No Name [No Rating])
by Jim Muth 01 Jan '08

01 Jan '08

FOTD -- January 01, 2008 (No Rating) Fractal visionaries and enthusiasts: I have been lagging in the FOTD discussions recently, and giving too much attention to the images, so what better day than the first day of a new year to begin a discussion of the fourth dimension as it relates to the section of Seahorse Valley that appears as today's FOTD. What do I mean when I claim that today's image is a new view of perhaps the best known of all fractal 'objects', Seahorse Valley of the Mandelbrot set? It bears no resemblance at all to the valley or its Julia sets. Despite appearances, I mean exactly what I say. Today's image shows part of Seahorse Valley. What then is Seahorse Valley? The first impression is that it consists of two tapering wedges that approach but never actually reach the point at -0.75 on the real axis of the M-set. This much is true, but these two wedges are only a small part of Seahorse Valley. What about the Julia set of the point -0.75? This Julia aspect is as much a part of Seahorse Valley as the Mandelbrot aspect. And when we consider Julia sets, what of the countless other Julia sets associated with the other points of Seahorse Valley? They are also a part of the valley. We now find ourselves with a unique two-dimensional Julia image associated with every point of Seahorse Valley, and all these Julia images stack together in four-dimensional space to form a single four-dimensional assemblage, which is the hyper-Seahorse Valley area of the four-dimensional Z^2+C Julibrot figure. Since it is a 4-D object, the full Seahorse Valley cannot be visualized in its entirety at a single moment of time, but it can be analyzed and statements can be made about it that can be demonstrated to be true. In its full 4-D aspect, Seahorse Valley consists of two tapering hyperwedges that approach but never quite reach the plane of the Julia set of the point -0.75 of the M-set. Instead of terminating in two sharp points, as do the two branches of the familiar Seahorse Valley of the M-set, these two hyperwedges terminate in two sharp planes, which are cuttingly sharp over their entire 2-D surfaces. In our three-dimensional space, sharp planes are an absurdity. Planes are flat and there is nothing sharp about a flat surface. In 4-D space however, an unlimited plane does not form an impassable barrier, and one may simply step around the plane and continue on. If the two additional dimensions of the plane are extremely small, the plane will act in 4-D space as a razor edge does in 3-D space, slicing through any reasonably soft 4-D object it comes in contact with. So the full Seahorse Valley consists of two hyperwedges terminating in two sharp planes. What shape then is the eastern surface of the valley, which faces the main bay of the M-set? Like the surface of any other 4-D object it is a surface with three dimensions, and the buds that appear to be flat circles are actually 4-D hyper-cylindrical shapes with two extended Julia dimensions and two small Mandelbrot dimensions. Like regular 3-D cylinders, these hypercylinders may be sliced in two dimensions to give circles, ellipses and parallel-edged stripes. In today's image the eastern surface of Seahorse Valley has been sliced in the Oblate direction, which shows the buds there as black stripes. To make the stripes more clear I have stretched the image quite a bit in the vertical direction. And to add interest I moved the center of the slice 0.35 in the imag(z) direction. For some reason the whole thing ended up rotated 180 degrees. Oh well, nobody's perfect. Since today's image is more a study than a finished piece of art, I gave it no name or rating. And its calculation time of 20 minutes is admittedly slow for a mere 4-D study. I seriously recommend visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. But it is New Year's time, so be patient if Paul has not yet posted it. Three wet slushy inches or 7cm of snow fell overnight Sunday here at Fractal Central. Monday was sunny with a temperature of 41F 5C, which melted a good part of the snow. The fractal cats noticed the snow with curiosity, then returned to their normal activities. The next hyper FOTD will be posted in 24 hours. Until then, take care, and to find the fourth spatial dimension, look sideways to your inside. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FOTD_for_Jan_01_08 { ; time=0:20:13.47-SF5 on P4-2000 reset=2004 type=formula formulafile=slices.frm formulaname=Oblate passes=1 center-mag=+0.02067323\ 061209259/+0.01838987041970301/1425.157/0.002231/\ -180/-32.619243071192308 params=0/-0.35/-0.7498/0 float=y maxiter=32767 inside=0 logmap=325 symmetry=none periodicity=10 colors=000cpaco`cn_cmZclXcjWciVchUcgTcfScdRccQcbPb\ aNb`MbZLbYKbXJbWIbVHbTGbSEbRDbQCbPBbNAbM9bL8bK7aH1\ bJ6bLAbMFbOJbPOcRScSXcU`cVecXicYmdZldZkdZjeZieZheZ\ gfZgfZffZefZdgZcgZbgZahZahZ`hZ_hZZiZYiZXiZWjZWjZVj\ ZUjZTkZSkZRkZQlZQlZPlZOmZNmZMmZLmZKnZKnZJnZIoZHoZG\ oZFoZEpZEpZDpZCqZBqZAqZ9qZ9pYAoYAnYAmYAlYAkYBjYBiY\ BhYBgYBfYBeYCdYCcYCbYCaYC`YC_XDZXDYXDXXDWXDVXEUXET\ XESXERXEQXEPXFOXFNXFMXFLXFLXFMWEMWENWENWEOWDOWDPWD\ PWDQWCQWCRVCRVCSVBSVBTVBTVBUVAUVAVVAVVAWU9WU9XU9XU\ 9YU8YU8ZU8ZU8_U7_U7`T7`T7aT6aT6bT6bT6cT5cT5dT5dT5c\ S4dT5dT6dU7dU8dV8dV9dWAeWBeXBeXCeXDeYEeYEeZFfZGf_H\ f_Hf`If`Jf`KfaKgaLgbMgbNgcNgcOgdPgdPgdUfdZfccfcheb\ mebrdavdazc`zc`zc_zb_zbZzaZzaYz`Yz`Xz`Xz_Wz_WzZVzZ\ VzYUzYUzYTzXTzXSzWSzWRzVOzWRzXTzYWzYYzZ_z_bz_dz`gz\ aizakzbnzcpzcrzbqzaqzaqz`qz`qz_pzZpzZpzYpzYpzXozXo\ zWozVozVozUnzUnzTnzTnzSnz } frm:Oblate {; Jim Muth real(z),imag(c) z=real(pixel)+p1, c=flip(imag(pixel))+p2: z=sqr(z)+c, |z| <= 16 } END PARAMETER FILE=========================================

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