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FOTD 25-01-02 (The Fly [6])
by Jim Muth 25 Jan '02

25 Jan '02

FOTD -- January 25, 2002 (Rating 6) Fractal visionaries and enthusiasts: Today's image reminds me of a fly's head with its bug-eyes staring straight at the viewer. As a rule, I don't care much for those "Hello Earthling", or in this case, "Hello Human", types of fractals, but today I'll make an exception. The object at the center of today's image is a view in the Rectangular direction of a tiny midget far out on the negative stem of the Mandelbrot set. Due to the intense colors, it rates a 6. Without the colors, which are created with the <tdis> option, it would rate no higher than a 4. Part of the impact of the image is a result of the 22 scale-like arms radiating from the fly's head. Yes, I realize that in the Mandelbrot set and its Julia sets, the number of features around midgets is always in the 8,16,32... series, but today's image is neither a Mandelbrot nor a Julia image. The 32 arms are there, surrounding the midget as always, but when the 4-D object is sliced at today's particular point and orientation, the slice misses some of the arms. Hints and fragments of the missing arms are visible around the border of the image and beyond. Not being in a particularly creative mood, I gave today's picture the most simple name possible. I named it "The Fly". And it just happens that the original "The Fly" film is one of my favorite old junkers. (It actually is quite a good film as films of that era go. The second sequel, "The Curse of the Fly", is the junker.) Lack of time is no excuse for failure to view today's image. The parameter file renders in only 53 seconds on my tired old machine. And the completed image is also available at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Thursday here at Fractal Central began with a downpour at dawn, which tapered to a gentle rain by 11am and ended entirely by 1pm, leaving the area socked in with heavy clouds and soggy grass for the afternoon. Two bad days in a row left the cats quite irritated, so irritated in fact that later in the afternoon one of them missed the litter pan. More tuna put them in a better mood, but they still would have preferred a romp in the yard. And I would prefer to have the day's work behind me rather than in front of me. A few hours' labor will cure that problem however. So until tomorrow, same time same place, take care, and some things come and some things go, but fractals go on forever. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ The-Fly { ; time=0:00:53.60--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-VE function=flip/ident center-mag=0/0/1.449372e+013/0.1452/-60.8632988255\ 442058/-75.7841297145378263 params=0/90/2/0/-1.999\ 99911758755/0/-1.99999911758755/0/2.001/0 float=y maxiter=5000 inside=255 outside=tdis passes=b mathtolerance=/1 colors=000ddYFYY8TQ2QL5SM7TOAVPCW\ QDYSGZTI`VJaVPZhTYvYWzeSrnOcwJOgzVgzLgjAgV0gF0hO0h\ W4hdChmIGoSCzQOzaDezGmzIrzJxzOonSgTWZ7ZS0WT0TT8QVL\ OVVLWeIWoFYzCYz4dz0jz0qz0wz0mz5ctFTkOLaWATd0Jm0Ae0\ 7Z74G8GLM0qp0va0zS8zGIz5Q0MS2VP7aMDhJIoGOwDSzCcmOn\ WZmFcz0zz5roDqeLoWSnMZmWVadSQVTZMTeaovozzgztZndScP\ JS8CI0IM1MP8STGWWPa`WeccwojFj7G`AGQDIIFI7IJ0LJ0MI0\ WI0eI0nI0xI0zL0wM2nO8ePGWQMOSTFTZ5Qd8PhCOmFLqIJvLI\ zOGzPFvWFmaFdhFYnDPvDGzD7zD0zA8z8Gz5Pz4Wz2cxCawLav\ Tava`tj`rq`rmTmjOggIadCYa5SZ0MW0GT0CW0AZ0Aa0Ad2Ag5\ AjAAmDAoGA5TaZMWzGQqTQgeQYqQOzQFzQCzW8va5kg2cm0Tr0\ Jx0Az4IvCPmLVeSaY`hPgnInGgYO4QJILFTDAd75o01z00z0Az\ 1Mr5Yh8h`DtQGzGJz7FzACzC7vF4oG0hJ0cL0WO0QP0TF0V51W\ 04Y0QW8jVVzTotZkjdg`hcdkYgmSknMnoGqrAvt4xv0zw0qj5g\ YJYLVO7gD0rI7oLJmPVjSggWrdZzaazZdzWgxVjoTmhSo`QrSP\ vLOrTLoaJmjIkrGteAzT4zG0zL4zO8vSFqVJmYO000 } frm:multirot-XY-ZW-VE {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= sqr(p5) } END 20.0 PAR-FORMULA FILE==================================

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FOTD 24-01-02 (A New Angle [4])
by JimMuth＠aol.com 24 Jan '02

24 Jan '02

FOTD -- January 24, 2002 (Rating 4) Fractal visionaries and enthusiasts: I am usually annoyed by unwanted e-mail, and delete it without reading, but this morning I found a very unusual letter. I only skimmed the letter, but from what I could tell, it purported to be from someone who had made a big mistake in the past and wanted to know whether I knew some method by which they might travel backward in time to correct their mistake. On the surface, the letter appeared like any other letter designed to sell something, but this one included no web address. It had only an e-mail return address, and a line telling me to reply only if I actually know how to travel in time. This line actually had me considering replying for a few minutes. Then I decided that the letter was simply a more clever way than usual to try to sell me something, and sent it to the trash can. I rather liked yesterday's Mandelbrot image. So today I actually did do a bit of time travelling. I went back in time 24 hours to see how yesterday's image would appear when sliced in the Oblate direction, which is defined by real(z),imag(c). I kept the same color palette so that the features would appear in the same colors. Of course, the usual amount of stretching and skewing was needed to properly reveal the scene. And when revealed, the scene proved to be one of gross distortion. The same elements are there, this can be verified by counting. But they are distorted, twisted and torn beyond recognition. Such an image is not the most attractive, which is why I could rate today's effort no higher than a 4. And even the 4 rating is liberal. I named the picture "A New Angle" for obvious reasons. The render time of almost 9 minutes is a bit much for the below-average image. The wise will download the finished GIF image from the internet at the following web address: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Wednesday featured rain in the morning and clouds in the afternoon. The sun finally appeared shortly before sunset, but by then it was too late -- the fractal cats were unhappy. With no sun and a noticeable breeze, the temperature of 52F 11C had been too cool to give them comfort outdoors. I was once again forced to open the tuna. And speaking of opening things, I'll open the fractal program again before long, and find a new and better image for tomorrow. Until then, take care, and fractals multiply like rabbits. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ A_New_Angle { ; time=0:08:56.74--SF5 on a P200 reset=2002 type=formula formulafile=slices.frm formulaname=OblateVE passes=1 center-mag=-0.000000\ 23399262228/+0.00000004341194985/2661102/2.7656/-1\ 0.8536192381310066/-68.8634948510254787 params=-0.\ 745856816757/0.115376422366/-0.745856816757/0.1153\ 76422366/1.0777/0 float=y maxiter=5000 inside=0 outside=fmod colors=000NHlPFnRDpSBpTCqTDqTEqTFqTGq\ UGqUHrUIrUJrUKrVLrVLrVMrVNsVOsWPsWQsWQsWRsWSsXTtXU\ tXVtXVtXWtYXtYYtYZuY_uY_uZ`uZauZbuZcuZdv_dv_ev_fv_\ gv_hv_hvZguYfuXeuWduWcuVbtUatT`tS_tSZtRYsQXsPWsOVs\ OVsNUrMTrLSrKRrKQrJPqIOqHNqGMqGLqFKpEJpDIpCHpCHpDK\ oDNoDQnDTnDWmDZmDalDdlDgkDjkCkjCkjCljCljCljCmjBmjB\ mjBnjBnjBnjBojAojAojAoiAoiAoiAoi9oi9oi9oi9oi9oi9oi\ 9oi8oi8oi8oi8oi8oh8oh7oh7oh7oh7oh7oh7oh6oh6oh6oh6o\ h6oh6oh6oh7og8og8of9lf9ifAfeBbeB_dCXdCTdDQcENcEJbF\ GbGCaFDbFDbFEcFEcFFdFFdFGeFGeFHfEHfEIgEIgEIgEJhEJh\ EKiEKiELjDLjDMkDMkDNlDNlDNlDOmDOmDPnCPnCQoCQoCRpCR\ pCSqCSqCSqCTrBTrBUsBUsBVtBVtBWuBWuBXvBXvCZwBXvAWuA\ Vt9Us9Tr8Sq8Rq7Pp6Oo6Nn5Mm5Ll4Kk3Il4Jk5Kk6Lk6Mj7Nj\ 8Oj9Oj9PiAQiBRiBShCThDThEUhEVgFWgGXgGYfHZfIZfJ_fJ`\ eKaeLbeLcdMcdNddOedOfcPgcQhcQibRibSjbTkbTlaUmaVnaV\ naWn`Xn_YnZciuFTeCTb9T`CRbEPdGNfILhLJj } frm:OblateVE {; Jim Muth real(z),imag(c) z=real(pixel)+p1, c=flip(imag(pixel))+p2, b=sqr(real(p3)): z=sqr(z)+c, |z| <= b } END 20.0 PAR-FORMULA FILE==================================

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FOTD 23-01-02 (Near Escape [6])
by JimMuth＠aol.com 23 Jan '02

23 Jan '02

FOTD -- January 23, 2002 (Rating 6) Fractal visionaries and enthusiasts: Today's image, which is a further development of the theme of yesterday's image, features the MandelbrotVE (variable escape) formula. This formula draws the classic Mandelbrot set, the only added feature being that the escape radius can be set to fractional values. The advantage of setting the escape radius to fractional values is that any midget can be taken and held on the screen while the escape radius is reduced to the point where the midget is swallowed up. Fractals with positive exponents undergo very little change once the escape radius, or bailout, increases beyond the value where all points escape. In the case of the M-set, this radius is 2. But decreasing the bailout below that point progressively cuts off more of the fractal, until finally, nothing but a small featureless circle remains. As the bailout is reduced, a given feature such as a midget remains unchanged at first, but immediately before it is obliterated, the feature undergoes ever more extreme distortion. This distortion, rendered with the <fmod> option, is the basis of today's image. I named the image "Near Escape" because the scene lies very near the reduced escape radius. And I rated it a 6 because in my opinion it is not quite up to the level of yesterday's image. The render time of 9 minutes is acceptable for patient fractalists, but a bit slow for those with other tasks to do. Rendering relief may be found by letting Scott do the rendering and picking up the finished image from his web site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Paul's site remains un-updated. The fractal weather Tuesday was ideal for the middle of winter. Warm sun and a temperature of 52F 11C melted the remaining snow in the yard, and the near calm winds allowed the fractal cats a full afternoon romp. Their only complaint was about the wet ground and the holly trees, which shade the porch end of the yard when the sun is low in the winter sky. This morning it is raining, and the day will be far less pleasant. Without doubt the cats will be far less happy. But that's another story, which I'll tell tomorrow. Until then, take care, and be good but still have fun. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Near_Escape { ; time=0:09:46.91--SF5 on a P200 reset=2002 type=formula formulafile=slices.frm formulaname=MandelbrotVE passes=1 center-mag=-0.74\ 585681784166100/+0.11537642028318990/1.955035e+007\ /1/-62.5/2.27705782472609197e-007 params=0/0/0/0/1\ .0777/0 float=y maxiter=5000 bailout=2 inside=0 outside=fmod colors=000NHlPFnRDpSBpTCqTDqTEqTFqTGq\ UGqUHrUIrUJrUKrVLrVLrVMrVNsVOsWPsWQsWQsWRsWSsXTtXU\ tXVtXVtXWtYXtYYtYZuY_uY_uZ`uZauZbuZcuZdv_dv_ev_fv_\ gv_hv_hvZguYfuXeuWduWcuVbtUatT`tS_tSZtRYsQXsPWsOVs\ OVsNUrMTrLSrKRrKQrJPqIOqHNqGMqGLqFKpEJpDIpCHpCHpDK\ oDNoDQnDTnDWmDZmDalDdlDgkDjkCkjCkjCljCljCljCmjBmjB\ mjBnjBnjBnjBojAojAojAoiAoiAoiAoi9oi9oi9oi9oi9oi9oi\ 9oi8oi8oi8oi8oi8oh8oh7oh7oh7oh7oh7oh7oh6oh6oh6oh6o\ h6oh6oh6oh7og8og8of9lf9ifAfeBbeB_dCXdCTdDQcENcEJbF\ GbGCaFDbFDbFEcFEcFFdFFdFGeFGeFHfEHfEIgEIgEIgEJhEJh\ EKiEKiELjDLjDMkDMkDNlDNlDNlDOmDOmDPnCPnCQoCQoCRpCR\ pCSqCSqCSqCTrBTrBUsBUsBVtBVtBWuBWuBXvBXvCZwBXvAWuA\ Vt9Us9Tr8Sq8Rq7Pp6Oo6Nn5Mm5Ll4Kk3Il4Jk5Kk6Lk6Mj7Nj\ 8Oj9Oj9PiAQiBRiBShCThDThEUhEVgFWgGXgGYfHZfIZfJ_fJ`\ eKaeLbeLcdMcdNddOedOfcPgcQhcQibRibSjbTkbTlaUmaVnaV\ naWn`Xn_YnZciuFTeCTb9T`CRbEPdGNfILhLJj } frm:MandelbrotVE {; Jim Muth real(c),imag(c) z=p1, c=pixel+p2, b=sqr(real(p3)): z=sqr(z)+c, |z| <= b } END 20.0 PAR-FORMULA FILE==================================

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FOTD 22-01-02 (Web Wheel [8])
by Jim Muth 22 Jan '02

22 Jan '02

FOTD -- January 22, 2002 (Rating 8) Fractal visionaries and enthusiasts: When I opened my e-mailbox this morning, I found the usual pile of unwanted spam. I deleted all but one of the letters at once without reading them. The subject of the one letter I hesitated to delete told me that I could get a bigger hammer. When I saw this, I rushed to the tool rack in the basement to see if I needed a bigger hammer. I found that I already had five hammers and had no need for another big hammer, so I returned to my computer and deleted the final piece of spam. This is the first time anyone has tried to sell me a hammer by e-mail. Today's fractal I did not delete. The image is one of a tiny midget on the negative stem of the Mandelbrot set, pictured under unusual conditions. The first unusual condition is that in today's image, the bailout radius has been set to 3. Such a small bailout radius means that some of the M-set is cut off, but it also means that strange things happen to the remaining parts which happen to lie very near the reduced bailout radius. The second unusual (at least for me) condition is that the outside parts of the image have been colored by the <fmod> algorithm, with the proximity set to an unusually low 0.003. This is what gives the image its resemblance to a wheel with spider webs strung between the spokes. And the resemblance to a wheel with spider webs is what inspired the name "Web Wheel". The image is not named for the semi-abstraction known as the Worldwide Web. Due to its unusual nature, the image rates a lofty 8, which makes it almost worth the 26 minutes required to run the parameter file. The image is more than worth the minute or two required to download it from Scott's web site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> I have not yet checked to see if Paul Lee's web site has been updated. So I will not include the address of his web site. The fractal weather Monday here at Fractal Central started threatening, with clouds and a heavy flurry of snow, but shortly after noon the sun appeared and the temperature shot up to 45F 7C. Most of the snow already on the ground had melted by nightfall, but not in time to please the cats, who once again had to content themselves with the consolational treat of tuna. Today, however, appears headed for far more cat-friendly conditions. Hopefully, I can finish the modicum of serious work in time to give them a lengthy romp in the yard. Until tomorrow, same time, same place, new fractal, take care, and when the going gets tough, fractals are always there. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Web-Wheel { ; time=0:26:01.59--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=-1.7320\ 49935562321170263812/0/4.30354e+020 params=0/0 float=y maxiter=5000 bailout=3 inside=0 proximity=0.003 outside=fmod symmetry=xaxis colors=000rMXpLZoK_mJalIcjHdiFfgEgfDidCkcBlaAn`9pZ\ 8qY7sX6tW7rW7pV7nV8lV8kU8iU9gT9eT9cTAbSA`S9ZS9XR8V\ R7UQ6SQ7QQ7OP7MP8LP8JO8HO9FN9DN9CNAAMA8MA6MA5KD9JF\ CIHGHJJGMMFOQEQTDSWBV_AXb9Ze8`i7cl6eo5gs4iv3ky5lw7\ lu9ltBlrDlqFloGmmImlKnjMoiOpgQqfRsdTsbVsaXs_ZsZ`sX\ asWbqVcoVdmVelVfjVghVhgVieVjcVkaUl`UmZUnXUnWUoUUpS\ UqRUrPUsNTtLTuKTvITwGTxFTyDTzBTzATxCSwERuFQtHPrJOq\ KNpMMnNLmPKkRJjSIhUHgVGfXFdZEc_DaaC`bBZdAYf9Xg8Vi7\ Uj6Sl5Rn4Po3Oq2Nr1Pq2Qp2Rp2So3To3Un3Vn3Wm4Xm4Yl4_l\ 5`k5ak5bj5cj6di6eh6fh7gg7hg7if7kf8le8me8nd9od9pc9q\ c9rbAsbAtaAuaAsdDrfGphJojMnlPlnSkpVjrYkpWloUmnSnmQ\ olOpkMqiKrhIsgGtfEueCvdAvc9ugDukGuoJtsNtwQtzTtzWsz\ XrzXqzXpzXpzXozXnzXmzXmzXlzXkzXjzXizXizXhzXgzXfzXf\ zXezXdzXczXbzXbzXazX`zX_zX_zXC`fJhdPpcNpfLphJpjHpl\ GpnFrmFtmFvmExmEzmEzmEzmHzkJyjLwiOuhQsgSqfVoeXmdZj\ cahbcfaed`hb_j`ZlZYnXX040 } END PARAMETER FILE=========================================

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FOTD 21-01-02 (Wrecked Minibrot [7])
by Jim Muth 21 Jan '02

21 Jan '02

FOTD -- January 21, 2001 (Rating 7) Fractal visionaries and enthusiasts: Today's image features just another Seahorse Valley midget, this one located deep in a bottomless spiral pit. Though this type of midget is quite familiar, the rectangular aspect of such midgets is far less familiar. The roughly triangular thing at the center of the image is a wrecked minibrot. I wrecked it by slicing it in the Rectangular direction. Therefore, the name "Wrecked Minibrot" could also be spelled "Rect. Minibrot". Due to the striking color palette, the image rates a 7. Without the fancy colors, it would rate no more than a 5. The undistorted Minibrot can be viewed by zooming into the Mandelbrot set at the C coordinates entered as p4 in today's image. The 16-minute render time of the parameter file is a bit excessive, but not too much so. Regardless, the finished GIF image will be posted shortly to Scott's web site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Hopefully, the FOTD images and discussions will soon be regularly posted again to Paul's web site. The fractal weather Sunday here at Fractal central was not bad. The brilliant sun and temperature of 41F 5C were pleasant enough, but the snow still on the ground kept the dynamic cat duo confined to the porch, which I swept clean for their convenience. Showing no gratitude, the cats grew cranky when they could not go into the yard without getting their feet cold and wet. I finally eased their crankiness with the standard dollop of tuna. Well, it's the Martin Luther King Day holiday here in the USA, and even though the holiday is not taken seriously by some, I take it very seriously, and try to do the minimum amount of work possible. Looking at the clock, I see that it's now time to get busy on the task of figuring how to do the least amount of work with the least effort possible. But in 24 hours I'll once again be busy, as I return with another FOTD. Until then, take care, and thank the powers that fractals exist. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ Wrecked_Minibrot { ; time=0:16:20.75--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=-0.00000000001065986/+0.000000000009055\ 70/2.142352e+009/0.1329/1.677567084144715/-51.3292\ 285621142739 params=90/90/2/0/-0.7472989351046004/\ -0.1032079261637744/-0.7472989351046004/-0.1032079\ 26163774 float=y maxiter=15000 inside=0 logmap=1856 colors=00063C91FD1JG1OJ0QM0VQ0_T0aX0f_0jc0mf0ri0vk\ 0yj0ui0pi1lg4ig6df7`fAXdCTcDPcGLaIGaJD`M9`O4_P0_Q0\ `S0aS1cT4cT6dV7fVAgXCgXDiXGjYIlYLl_Mm_Oo`Qp`Sp`Tif\ QclOXrLQvISxLTxMVyOVyQXySYzTYzX_zY`z_`zaazcczdczgd\ zifzjfzlczi`zg_xdXvcVs`Sr_QpXOmVLlSJiQGgOFdMCcJAaI\ 7dQ4g_1jg0mo0px0sz0vz0pz7lzFgsMcmT_f`V`gTToTOvTGvT\ AvT9vT9vT7vT7vT6vT6vT4vT4vT3vT3vT1vT1vT1vT0vT0vT0s\ _0of0jm0fu0az0Yz0imCsT_z9vzFpxJluOgrTaoYYmaTjgOglJ\ dpFav9_z4Yz0Xz0Xz0Yz6YzI_zV_yf`xs`vzSrrLmdDiT6dG0a\ 40c60c60d70d70f70f90g90g90iA0iA0jA0jC0lC0lC4m9Co7I\ p6Pr4Xr3as1iu0pv0vv0xr0xm0xi0xd0x`0xX0xS0vO0uJ0sF0\ rA0p60r93uADvCOzDYzFzzGzzIyzIozIfxIYuITrIPoJJlJFiJ\ AfJ4cJ0`J0YJ0XI0VJ0TL0SM0QO0PP0PQ0OS0MT0LV0JX0IY0I\ _07`70aP0cf0dd0fd0gc4ic7jaClaGm`Jo`Op_Qr_Ps`Ou`Mva\ LxaJyaIzcGzcFzdDzdAzcDzdFzfIzgJzgMziOzjQzlSzlVzmXz\ o_zp_zu`zpazmczjdzf0z33z7 } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END 20.0 PAR-FORMULA FILE==================================

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Re: [Fractint] FOTD 17-01-02 (Resetting Fractal [9])
by Andrew Coppin 21 Jan '02

21 Jan '02

>From: JimMuth(a)aol.com >Reply-To: fractint(a)mailman.xmission.com >To: fractint(a)mailman.xmission.com >CC: philofractal(a)lists.fractalus.com >Subject: [Fractint] FOTD 17-01-02 (Resetting Fractal [9]) >Date: Thu, 17 Jan 2002 11:16:29 EST > > >FOTD -- January 17, 2002 (Rating 9) Mmmm... I like it! Would maybe look better at higher resolution; will maybe try it later today. Got an exam first :-0 _________________________________________________________________ Join the worlds largest e-mail service with MSN Hotmail. http://www.hotmail.com

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FOTD 20-01-02 (Return to Childhood [4])
by JimMuth＠aol.com 20 Jan '02

20 Jan '02

FOTD -- January 20, 2002 (Rating 4) Fractal visionaries and enthusiasts: I named today's meager effort "Return to Childhood". I gave it this name because it's part of the Mandelbrot set, which is the first fractal I ever saw, and it resembles the kind of fractals I found back in the late 1980's, when I was just getting started in my fractal adventures. I was not exactly a child back then, but it was a time when even simple fractals held a real magic -- the magic of newness. Actually, like a child, I spent too much time Saturday on the internet watching the progress of the so-called snowstorm, and not enough time exploring fractal-land. As a result, I was forced to fall back on the M-set for my FOTD. Today's image is not exactly like those of 1988 however. It's magnitude is over 10^19, which puts it well beyond where I could go in the good old days, though the render time of just under 2 hours is on a par with the render times of the early days. Being distracted by the snow, I gave almost no effort to the coloring of the image, which with proper coloring might rate as high as a 6. Those with snow to shovel will have time to run the parameter file while they do their shoveling. Others will want to download the finished GIF image from Scott's web site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather here at Fractal Central on Saturday was snowy, with a bit of sleet mixed in during the warmest part of the day, when the temperature reached 32F 0C. A total of 3-1/2 inches (9cm) of snow fell, which, compared to the forecasts, wasn't all that bad. But it was definitely anti-cat weather. The fractal cats checked the outdoors several times, and they actually appeared happy to be inside for a change. As for myself, I now have a sidewalk to clear, and I had best get started before the sun melts the meager accumulation and I miss out on the fun. Until next time, when I actually might philosophize, take care, and enjoy yourself. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= ReturnToChildhood { ; time=1:53:07.76--SF5 on a P200 reset=2002 type=mandel passes=1 center-mag=-1.74899566659880973297145/-5.218600179\ 14210019307e-4/3.752988e+019/1/12.5/2.293859546753\ 65156e-013 params=0/0 float=y maxiter=9550 inside=0 colors=0004WQ4aO5fN5lMAZSB`VDcYEe`GhbHjeIlhKokLqnN\ tqOvtPxvSutUrrXpqZmoajnchleejhbij`gmYfoVdqTcnRalQ_\ jPYhOXfNVdMTbLR`KQYJOWIMUHKSGJQFHOEFMDDKCCM0EL7FLE\ FKLFKSGJZGJeGHfIFfKDgMCgOAhP8hR7iT5iV3jX2jY5h_8g`B\ faEebHcdKbeNafQ`gTZiWYjZXkaWleaihgfkmcnralncjkdhhe\ fefdbhb_i`XjZUkXQmVNnTKoRHpPErNBsL8tJ5uH6sG7rF8qE9\ pD9oCAmBBlACk9Dj8DiCCfFBcJB`MAYQ9VT9SX8P_7Mc7Jf6Gj\ 5Dm5Aq47t34w31CQuERtGStITsKUsMVsOWrQXrSYrUZqW_qY`p\ _apabpccoedofeo_ZpTTqMMrFGsGFnGEjGEeHDaHCXHCTIBOIA\ KIAGP9LW8Qb8Vi7_p6dw6ht7jq8ko9mlAnjAogBqdCrbDt_EuY\ EvUGpRIjOJdLLZHMUEOOBPI8RC5S79V8CY9G`AJcBNfCQhDNhF\ KhGHhHEhIChJ9hK6hL3hM1hN8dTF`YMXcTUh_QnfMsmJxnNwnQ\ vnTunWunZtnasodsogrojqomqopposoovoorponqojqofrobro\ ZsoVspYmp_gpbapdWpgQpiKplEpn8pp2siAvbIxWQsYRn_Si`T\ dbU_cVVeWQgXLhYGjZBk_6m`2naDhYOcUZZQVWRSTRORSLOSIM\ TEJTBGU7EU4BV19V2FT3LS3QR } END PARAMETER FILE=========================================

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FOTD 19-01-02 (Sprocket Wheels [5])
by JimMuth＠aol.com 19 Jan '02

19 Jan '02

FOTD -- January 19, 2002 (Rating 5) Fractal visionaries and enthusiasts: I'll start today with a bit of almost-fractal speculation. While watching one of the 'Star Trek' spin-offs recently, I was struck by the fact that the two battling star ships were using weapons of basically the same degree of technological achievement. What are the chances, I wondered, that two totally alien species which happened to meet and start battling in interstellar space would be traveling in virtually identical ships with virtually identical armament? It seems more likely to me that if two enemy alien forces met in interstellar space, there would be no battle. The difference between their destructive capabilities would be so great that one of them would proceed to annihilate the other at will. It would be like a modern earth army fighting a stone-age tribe. One of the reasons I enjoy the star-trek-clone series is because it gives me a chance to speculate on the actual possibility of the science and technology that appears in the shows. The greatest impossibility of all remains the exploration of the galaxy. Unless a way is found to travel and send messages faster than light without traveling backward in time, and unless we solve the earth's overpopulation-related problems, humanity will remain bound to the surface of planet Earth. As for the day's fractal, it's a relatively harmless one created with the <fmod> and <tdis> features of Fractint. The image was created by adding 13 parts of Z^(-0.99) to 2 parts of Z^(-9.9), and calculating 1/C instead of C. I named the picture "Sprocket Wheels" when the four dark features reminded me of the sprockets of a bicycle. The image rates a perfectly average 5. The render time of 14 minutes can be avoided by downloading the image from Scott's web site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> As far as I know, Paul's site is still inactive. The weather Friday here at Fractal Central was near perfect for the middle of winter. The only problem was with the temperature. 41F 5C is simply too cold for fractal-oriented cats to lounge outdoors in comfort, especially in the shade of holly trees. Since Thomas and Tippy are fractal cats, they remained indoors, checking the outside conditions every hour or so, hoping for a sudden warm-up. They were ultimately disappointed and resorted to a treat of tuna for their peace of mind. As for myself, I'm waiting for the appearance of the big snow forecast for today. A few flakes are already in the air, and I still have some faith in the local TV weather experts. But when it comes to forecasting snow, they usually forget that they're supposed to be experts, so I won't believe we'll actually receive the 8in 20cm until it's on the ground. Until next FOTD, take care, and I guess I'll be shoveling off. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ Sprocket_Wheels { ; time=0:14:00.96--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-3.63291217628191100/+0.247687182167382\ 00/54195.8/1/-157.5/-1.54603705879163833e-008 params=1/-9.9/12/-0.99/1/525 float=y maxiter=1800 inside=fmod proximity=1 outside=tdis colors=000ARiAPiAOj9Mk9Lk8Jl8Im8Hm7In7Jn6Kn6Ln5Mn5\ Nn5NnFQoOSoYVpfXpp_qyaqw_nuZlsXjqWgoUemTckSajQZhPX\ fNVdMTbLQ`JOZIMYGJWFHUEFSCDQBAO98M86L74KB7JE9IHBHK\ DGNGGQIFUKEXMD_PCbRBeTBhVCfUDdSEcRFaQG_OHYNIXLJVKK\ TILRHMQGNOEOMDPKBQJARH8SF7SE6UF7WG7YH7_I7aI7cJ7000\ 000000jM7lN7nO7pP7rQ7sQ7tR8tR8tR9tR9tR9uSAuSAuSBuS\ BuSBuSCvTCvTDvTDvTDvTEvTEwUFwUFwUFwUGwUGwUGuWJtXLs\ ZNq_Qp`SobUmcXldZkf`igchiegjgekjdmlcnnaoq`qs_ruZsw\ YqwXpwXnwWmwWlwVjwViwUhwTfwVazV`zV_zTZzTYzSXzQWzQV\ yPUyPTxPSxPRwPQwMPwMOtMOrMNpMNnMNlMMjMMhMMfMLcMLaM\ K_MKYMKWMJUMJSMJQPLSSMUVOWYPY`R_cSafUchVdgWcfWbeXa\ dX`cX_bYZaYY`YX_ZWZZVY_UX_TW_SV`RU`QT`PUaQVaRWaSXb\ TYbTZbU_cV`cWacWbdXcdYddZeeZfe_ge`hfaifajfbkgclgdl\ gdkdejafiZghXhgUifRjeOkdMlcJmbGnaDo`Bp_8qZ5rY2sX0t\ Z1q_1o`2ma2jb3hc3fd4ce4af5_g5Xh6Vi6Tj7Qk7Ol8Mm8Jn9\ Ho9FpACqAArA8qCBpEDBUgBSh } 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 20.0 PAR-FORMULA FILE==================================

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FOTD 18-01-02 (A Fractal for Squares [5])
by JimMuth＠aol.com 18 Jan '02

18 Jan '02

FOTD -- January 18, 2002 (Rating 5) Fractal visionaries and enthusiasts: Today's image can be rendered using either conventional math or arbitrary precision math. Conventional math finishes the image in 14 minutes on my machine. If I switched to arbitrary precision math the image would take 24 hours. Since the advantage of the more accurate math is minimal, I have included an entry in the parameter file that will force the use of the much faster conventional math. The image features a tiny midget that lies in the seventh valley out of the large period-2 north bud of the Mandelbrot set. I named the image "A Fractal for Squares" because only a 'square' (an old-fashioned term for someone who is not hip to the trends of the times) would still waste time looking at fractals as old-fashioned as the Mandelbrot set, using a 15-year-old fractal generating program that runs under an obsolete operating system. Then I realized that I had just described myself. In frustration, I sighed and rated the image at a 5. The true logmap setting of the image is 11594. This is the logmap I found by entering a 2, which causes the program to scan the border and calculate the image using the lowest iteration it finds there. But today's image is tricky, and when it is calculated at its true logmap setting, most of the color bands are wasted on tiny areas in the corners. I found that raising the logmap to around 17000 gives a far better rendering, and finally settled on 17010. Overall, the image is an unusually delicate and feathery one, given perhaps un-necessary weight by the heavy colors. It's worth the 14-minute render time. It is not worth the 24-hour render time. Both waits can be avoided however by giving Scott a chance to render and post the image on his web site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Hopefully, he'll use the fast method of rendering, or else the image will not be ready until tomorrow. The FOTD images will once again be posted to Paul's web site when and if he re-appears. The fractal weather, (everything at Fractal Central is 'fractal'), here Thursday was non-eventful. The mostly cloudy skies, moderate winds and temperature of 52F 11C would have gone un-noticed and un-remembered by human observers other than weather forecasters, but cats are not human, and the fractal cats were not happy with these routine conditions. They expressed their unhappiness by getting into two scuffles, and did not settle down until I gave them a double treat of tuna. The cats are now settled, all else is well, and it's time to get busy on other things. The fractal shoppe will now become a graphic design office. Until next time, take care and stay settled. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= AFractalForSquares { ; time=0:13:59.70--SF5 on a P200 reset=2002 type=mandel passes=1 mathtolerance=/1 center-mag=-0.10933261204450130/+0.894917942125181\ 40/1.745905e+013/1.0001/-27.3962776352267738/-0.13\ 1115529719981111 params=0/0 float=y maxiter=144000 inside=0 logmap=17010 colors=000HNYIOZJQ_KR`LSaMUb\ NVcOWdPXeQZfR_gS`hTbiUcjVdkXckZbj``ib_hdZgfXfhWfjV\ elTdnScpRbqQbpSapUaoVaoXanZ`n_`ma`mb`md`lf_lg_ki_k\ j_jlZjnZjoZiqZirZhtYhvYgwYgyYgzYnY_u5ar8cpBdmEekHf\ iKgfNidQjbTk_WlYZmVaoTdpRgqOjrMmsKptMorOopPonRolSo\ jUoiWogXoeZoc_oaao_boZ9m6AiABeECbHDZLEWPFSSGPWHL_H\ IbIL_INYJPVJSTKURKWOLZML`JMbHMeFNgCNiAOl7On5Op3Pl4\ Ph4Pd5Pa5PY6PU6QQ6QN7QJ7QF8QB8Q88P78O67M57L47K37J2\ 7N4AQ6CT8EWAGZCJaDLeFNhHPkJSnLUqNWtOYhScXViLYoA`tB\ asPgnCbsCbrDcrDdrEdqEeqFfqFfpGgpx`xuawrawobvlbvicu\ gcuddtadtZdsWesUerRfrOfqLgqIgpJRHIXTHbdQ3WO9ZNFaLL\ dKRgIXjHbmTdPQeUOeZMfbKfgIglemHalMZkQWjVTjZPicMhgJ\ gl2Pv4Ru5Tt6Vt8Ws9YsA_rBarDbqEdqFfpmzcjxdgweeufbtg\ _rhYqiVojTnkQllNkmLinIho`NLYQPWSTUUWRX_PZbN`fKciIe\ mZmaSkfMikT4OPEWMObJYienNZlVTjaMhiZcfWdhUdiRejPekN\ fmKfnIgowIvsKupMulOtiQtfSsbUs_WrWYrT_qQaqMcpJep } END PARAMETER FILE=========================================

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Re: [Fractint] Fuzzy Multivalued Logic Basis of Fractals and Chaos
by RENRAD1＠aol.com 18 Jan '02

18 Jan '02

In a message dated 02-01-16 23:23:22 EST, you write: << See fairly detailed abstracts of 69 of my papers (publications, papers presented at conferences, technical reports, internet contributions) at http://www.logic.univie.ac.at, Institute for Logic of the University of Vienna (after accessing that site, select in this exact order: 1. ABSTRACT SERVER, then 2. BY AUTHOR, then 3. my name). >> Thanks! I hope if I try to read enough of them I'll be able to understand more of your posts. I always find the posts extremely interesting, though I understand just enough of them to realize I'm hanging onto meaning by the skin of my teeth. <<This puts them alongside human memory/consciousness/perception, spherically expanding/contracting motion such as radiation from a point source and the universe with respect to its expansion, quantum entanglement, viscoelastic material memory, most biological processes, etc. This opens up several important areas for research, including fractal and chaotic applications to the other things like human memory mentioned above, since such events can be expected to either intersect or be contained in each other (or one contained in the other).>> Fascinating. I just wish i truly "got it"...thanks for including refs!

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