November 2007 - Fractint - mailman.xmission.com

FOTD 19-11-07 (All Broken Up [5.5])
by Jim Muth 20 Nov '07

20 Nov '07

FOTD -- November 19, 2007 (Rating 5.5) Fractal visionaries and enthusiasts: Today we forget the user-created formulas and return to one of the formulas hard-coded into Fractint. The formula in question is type=manzpower. I brought up this formula because I started wondering about the Z^(4.003)+C Mandeloid. Another Mandeloid, the one created by the formula Z^(2.003)+C, has a very interesting area just east of a large broken minibrot on its main spike, which has broken into infinitely divided fractal railroad tracks. I wondered if the corresponding area of the Z^(4.003)+C Mandeloid is equally interesting. Well, the area is not quite as interesting as it is in the Z^(2.003)+C Mandeloid, but it still holds several interesting and quite similar features. Once again, the main spike is infinitely divided, especially in the area around the eastern edge of the large minibrot. But, as today's image shows, the features break apart in a different manner. A good part of today's image consists of 'inside' stuff made visible by the 'bof60' inside fill and colored by none other than myself. But even the coloring cannot make a work of art out of a casual fractal created with near-zero inspiration, so I could rate the image no higher than a 5-1/2, which is just the tiniest bit above the long-term average. The name "All Broken Up" describes the scene, which certainly has come apart into enough pieces. Unfortunately, the calcula- tion time is a rather slow 9 minutes even on the fast machine. And on the old machine the image would take nearly an hour to complete. The best way to avoid this delay is to visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and see the finished image there. This same area in the Z^(2.003)+C Mandeloid has very curious rectangles in its Julia sets. I must check soon to see if the Z^(4.003)+C Mandeloid has something similar, perhaps octagons. Light to moderate snow fell all day Sunday here at Fractal Central, though a steady temperature of 34F +1C confined the accumulation to the grassy areas. The fractal cats watched the flakes falling past the window for an hour or so, then decided it was too chilly there, and settled next to a warm radiator. My day was on the slow side. I have every hope that tomorrow will be the same. The next FOTD will be posted in 24 hours. Until then, take care, and a brief glance through a book about quantum chromodynamics (or quantum anything) will reveal that the world appears to be made of numbers. At least this is what the high priests of science would appear to be saying. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= All_Broken-Up { ; time=0:09:05.80-SF5 on P4-2000 reset=2004 type=manzpower center-mag=-1.2227439940\ 46724/-0.000002343682231/8.062602e+008/1/61.75/\ 2.86744777859559985e-007 params=0/0/4.003/0 float=y maxiter=5000 inside=bof60 periodicity=10 colors=000RhzTcvQ_rOXmMUhKScIQZFOVDMRBKM9HI7EGDHDI\ KGNMKSPNXRRaUUfXYkZ`paducgqbhmbiiajeaka`lY`mU_nQ_n\ UVfYR_aNTeJMgKPiLSjMUlNXnOZoPaqQcsRftShqJbnBXl3Sk9\ PjENjKLiPIhVGh_EfXFeUGdSHcPHaNI`KJ_IJZFKYCLWAMV7MU\ 5NT2OS0OQEVORaMchLpnd6mZ8fU9`dLUfIOgKIdOJkOKqSKpWL\ o`MpeMnjNsnNrjMqgMpdLo`LoYLnVKmRKlOJkLJkIJgJNcKR_K\ UWLYSL`PMdLMgHNkDNn9Or6OuzNrxQowTmvVktYis`grbepeco\ h`njZlmXkpVjrThuRgxPfzNhvPisQjpRkmTliUmfVncWo`YpYZ\ qU_rRasObtLcuIduGetEetCftAfs8gs6gs4ht0is2hr3hr4gq5\ gq6gp7fp8fo9fnBenCemDdmEdlFdlGckHciA_kIcmPgnXjpcnr\ krtswsrusqtsqrspqsoosonsnmrmkrmjrlhrkgrkerjdsidrjc\ rjcrkcqkcqkcqlcplcpmcpmcghxpmczrKyqJxqIwqHwpGvpFup\ EtpDtoCsoCroBrnAqn9pn8on7om6nm5mm4no1mm4lk6ki8jgAi\ eChcFgaHf_JeYLdWNcUPbSSaQU`OW_MYZK_YIaXGdWEfVChUAj\ T8lS6nTCkTIhTNeUTbUY_UcXViUVnRVtOVyLSzOQzROwUMxXKx\ _IxbGxeExhHugJrgLofNlfPie } END PARAMETER FILE=========================================

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FOTD 20-11-07 (Julia Broken Up [6])
by Jim Muth 20 Nov '07

20 Nov '07

FOTD -- November 20, 2007 (Rating 6) Fractal visionaries and enthusiasts: Today's image is named "Julia Broken Up" because it is the Julia set of the center of yesterday's 'All Broken Up' image. As such, it shares many of the features of that image, as well as virtually the same color palette, but at the same time it brings enough new aspects to make it worth being chosen as the FOTD for November 20. With nothing really totally new to offer, the image could hardly be rated much above a 6, and in fact, this is what I rated it. Perhaps the most interesting thing about the image is yet to come. I could have created the image more directly with the type=julzpower formula, but I used the SliceJulibrot4 formula instead. I did this because I am curious as to the appearance of this area of the Z^(4.003)+C Julibrot when sliced in the four remaining mutually perpendicular planes of the four-dimensional space in which it lies. I will check these other orientations sometime tomorrow, and if I find anything of unusual interest, I will include it as tomorrow's FOTD. The calculation time of 4-1/2 minutes is thankfully brief. Even briefer is a visit to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> to view the finished GIF image there. Very unpleasant weather prevailed here at Fractal Central on Monday. Not only was it cloudy and just above freezing all day, but the melting slush made walking a major effort. The fractal cats passed the day keeping warm. My day was just busy enough to keep my mind off the miserable conditions. The next FOTD will appear in 24 hours. Until then, take care, and search for the real reality. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Julia_Broken-Up { ; time=0:04:25.07-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=SliceJulibrot4 center-mag=0/0/18.8653/\ 1/22.5/0 params=90/90/90/90/-1.222743994189852/2.3\ 43672119431135e-006/0/0/4.003/0 float=y maxiter=2500 inside=bof60 periodicity=10 colors=000RuzThvQdrO_mMWhKTcIQZFOVDMRBKM9HI7EGDHDI\ KGNMKSPNXRRaUUfXYkZ`paducgqbhmbiiajeaka`lY`mU_nQ_n\ UVfYR_aNTeJMgKPiLSjMUlNXnOZoPaqQcsRftShqJbnBXl3Sk9\ PjENjKLiPIhVGh_EfXFeUGdSHcPHaNI`KJ_IJZFKYCLWAMV7MU\ 5NT2OS0OQEVORaMchLpnd6mZ8fU9`dLUfIOgKIdOJkOKqSKpWL\ o`MpeMujNznNvjMtgMpdLo`LoYLnVKmRKlOJkLJkIJgJNcKR_K\ UWLYSL`PMdLMgHNkDNn9Or6OuzNrxQowTmvVktYis`grbepeco\ h`njZlmXkpVjrThuRgxPfzNhvPisQjpRkmTliUmfVncWo`YpYZ\ qU_rRasObtLcuIduGetEetCftAfs8gs6gs4ht0is2hr3hr4gq5\ gq6gp7fp8fo9fnBenCemDdmEdlFdlGckHciA_kIcmPgnXjpcnr\ krzswzruzqtwqrwpqvootonsnmrmkrmjrlhrkgrkerjdsidrjc\ rjcrkcqkcqkcqlcplcpmcpmcghxpmczrKyqJxqIwqHwpGvpFup\ EtpDtoCsoCroBrnAqn9pn8on7om6nm5mm4no1mm4lk6ki8jgAi\ eChcFgaHf_JeYLdWNcUPbSSaQU`OW_MYZK_YIaXGdWEfVChUAj\ T8lS6nTCkTIhTNeUTbUY_UcXViUVmRVmOVmLSmOQmROmUMmXKm\ _ImbGmeEmhHmgJmgLmfNlfPie } frm:SliceJulibrot4 {; 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=z^(p5)+c |z|<=9 } END PARAMETER FILE=========================================

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FOTD 18-11-07 (Zexpi Minibrot [4])
by Jim Muth 18 Nov '07

18 Nov '07

FOTD -- November 18, 2007 (Rating 4) Fractal visionaries and enthusiasts: I had one of those days Saturday where I just couldn't find a worthwhile fractal no matter how far I looked. I finally settled for the image that appears as today's FOTD, but even though it appears as an FOTD, I could honestly rate it no better than a 4. The image takes us on a trip to the Zexpi fractal, which is what I named the fractal with an exponent of Z equal to PI. We check the fractal as it appears 4 levels up the logarithmic ladder, where it resembles a comical little clown with his head facing southwest. Today's scene is located on the sole of the clown's left foot. The only thing not totally ordinary about the image is the fact that a good part of it consists of 'inside' stuff made visible by the 'fmod' inside fill. I named the image "Zexpi Minibrot", which is simply its descrip- tion. The calculation time of just under 3 minutes stretches to around 14 minutes on the 200mhz machine -- hardly a bargain. But relief is waiting on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished image is posted for instant viewing. A cold, cloudy day threateneing rain or snow made no one happy here at Fractal Central on Saturday. The fractal cats spent the day on their shelf by the window, bravely enduring the unpleas- ant conditions. My day was average -- enough said. The next FOTD will appear in 24 hours. Until then, take care, and how many Mandelbrot sets exist at this moment? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Zexpi_Minibrot { ; time=0:02:40.43-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=floor center-mag=+0.17206725258491350/+0.675860279367873\ 30/33541.71/1/-57.5/-1.49841909713e-010 inside=fmod params=3.14159265358979/0/4/0 float=y maxiter=1800 proximity=0.09 logmap=yes periodicity=10 colors=000000000000000000000000000000000000deYbhYa\ kY`mYg8Gj9DlABoB9qC7sD5rC7qC9pBAoBCnAEmAFl9Hl9Ik9K\ j8Mi8Nh7PC6Ff6Se6Ue6VM2WL3UK3SJ4QI4PH5NG5LF6KE6ID7\ GC7EB8DA8B9998987CI6FS6Ia5Lk5Ot7Rq8Ur9XsAlkBriCxgF\ rbHmYJhTLbONYJPTER_tTSDVSDA_tYSC_SCaSBA_tAbuAevefI\ enMeuPgrOioOklOmjOogOqdOrbOrYKrTGrPCrK8rF4rB0pD3oE\ 5nG7mH9kJBjKDiMFhNIgPKeQMdSOcTQbVSaWU`TV_QV_OWZLXZ\ IXYFYYDYbIXgMWlRVqVVo`PmfKklFirAhx5fu7er8co9blA`iB\ _fDYcEX`FVYGUVHSSJRPKPMLDOFGMIJJLMHOPFQTDTWBWZ8Za6\ ad4dg2gj0ie4ha7hXAhTDgOGgKJgGMgILeJLcKKaLK`NJZOJXP\ IWQIUSHSTHRUGPVGNXFMYFKZEI_EHaIJcMKePLgTNiWOk_PmcR\ ofSqjTrmUpkRniPlgNkeLicJgaHe_EdYCbWA`U8ZS6YR4kKLyE\ `qzTmvUirVeoWakWZhXVdYRaYNYZKV_GR_CO`8Ka5Ha6F`7E`8\ D`9B`AA`B9`C7`D6`E5`F3`G2`H1`H0`K4aN7bQAbTDcWGdZJd\ aMedPecQgbRhaSiaTj`Uk_Vl_VmZWnYXoYYpXZqW_rW_sR`mNa\ hJbbFcYBdS7eNTOCgEMv4Wt7X } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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xfractint again
by John Wilson 18 Nov '07

18 Nov '07

O.K. Stone Soupers! What's the status of xfractint, please? I'm lost. One of Paul's links is for an "Xfractint 20.4.4" which takes me to a fractint.org page. This page references: a) Scott Boyd's obsolete page and "xfrac20.2.04-bin.tar.gz"... a compiled package. and b) the developers ftp site, where I see "Xfractint 20.04p06.tar.gz", and "xfradev.tar.gz". Meanwhile I find, in the Ubuntu Linux distribution, an xfractint 20.4.00-1. At this time I have 20.4.00-1 installed and running. I'd be reasonably happy with this, in spite of the loss of colour cycling and some strange key assignments, if I could find, or simulate, an sstools.ini file. I am told that my initial colour problem was caused "because Xfractint can't find the sstools.ini file or the default map file". I'm not surprised that Xfractint can't find the sstools.ini file... neither can I! I don't believe that the packages I've tried include such an animal. If I manually navigate to a par which includes the colors, all is well. Beyond that I'm "sstools-less". I am also told that "the latest developer's version installs the sstools.ini file in /usr/share/xfractint and the map, par, frm, ... files in the applicable subdirectories". Well, sstools isn't there, and please don't tell this newbie that files are in "the applicable subdirectories". :-) Does xfractint really use an sstools.ini file? Does Linux recognize .ini files in "the applicable directory"? I know, I know... I should compile source packages, but I can't - yet. I need the spoonfeeding which is provided by a package manager. Help! John W. (who has also changed his ISP).

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FOTD 17-11-07 (Forty-Ninth Radical [6.5])
by Jim Muth 16 Nov '07

16 Nov '07

FOTD -- November 17, 2007 (Rating 6.5) Fractal visionaries and enthusiasts: Today's image, which is named "Forty-Ninth Radical", takes us once again to the Mandelbrot set. The name has no connection to the Forty-Ninth Parallel that separates Canada from the U.S. It refers instead to the tiny radical with a periodicity of 49 on the south shore of East Valley of the M-set. A radical refers to all the stuff, such as filaments and sub-bays, associated with a particular bud of a particular periodicity. I think Mr. Mandelbrot himself created the name. Today's image is located deep in the star associated with the 49th radical. Virtually the entire effect of the image is due to the coloring, so I had no choice to reward myself an extra half-point for the color work, making the image worth a grand total of 6-1/2. The prominent octagon with rounded corners that surrounds the minibrot in the image appears to be somewhat askew. Actually, it is perfectly straight. All the crookedness is a true part of the Mandelbrot set at this point. The calculation time of a lightning-fast 15 seconds is true on the fast 2000mhz machine. On the slow 200mhz unit the same image takes over 5 minutes to finish. One would assume that a machine 10 times as fast would calculate a fractal in 1/10 of the time, but my machine does it in 1/20 of the time, at least with the type=mandel and type=julia fractals. Curiously, with type=formula images, where I do most of my fractal work, the fast machine finishes in only 1/5 of the time. All this confusion about calculation time can only detract from the worth of the image, so why not view the finished product on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and end the day with fractal satisfaction. Cloudy and blustery weather with near freezing temperatures prevailed all day Friday here at Fractal Central. A few insig- nificant flurries of snow simply added to the interest. The fractal cats must have been annoyed by the conditions, for they got into a tussle when Cassie took Nico's favorite spot in the window and he had to bat her out of the way. An hour later however they had made up and were washing each other's ears. My day was busy enough to keep boredom at bay, but not too busy for relaxation. The next FOTD will appear in 24 hours. Until then, take care, and things are not always as they seem. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= FortyNinth_Radical { ; time=0:00:15.09-SF5 on P4-2000 reset=2004 type=mandel center-mag=+0.2540484531638\ 9070/-0.00041135003772769/3.848895e+010/1/-124.5/\ -2.25460584006437204e-005 params=0/0 float=y maxiter=50000 inside=0 logmap=-6510 periodicity=10 colors=000obaobaobaobasi`rh`qf`pe`obanbamaal_akZaj\ XaiWahVacXb_YbVZbR_bM`bIbbDcb9db4eb1fb7i_EkYJmWQoT\ WrRatPgvMnxKszICL3DN6EP8FRBFTDGVGHXIHZLI`PJbUJdZKf\ cLhgLjmMmrMowMmzMcyMUxMKkWCcaLUe0TzfLwcLuaLq_LoXLk\ ULiRLfNLdKLbHLXINSMPNPRXQt_WzbZze`zgczjfxmhypkzrmz\ ocqlUiiK`fBTeMSeWSdeRdoRWjWNe_E`d5WhM_qbczxUYtRXqO\ XnLWkJWhGVeDVbBVCcbKedSffZggfiinjkuklgehU_dHU`LcqO\ `jQYdSWYUTSWQMYOF_L9aJ3eP9iVFm`KqfQulWxq`luJax2`n2\ `e2_X2_O2ZF2Z62TkCYhSSgUNfWIeXMg_PhaTjdWkf_mibnkYh\ lTbmOXnJRoEMpbTsz_vvapscjkcicciXchPchIchYuHSqFNmDH\ iBCe96a71Y61`A1bE1dH8bJE`LK_NQYPWXRaVTgUV3BAALDHVF\ OcHVmJavL_rNYnPWkRUgSScUQ`W9XP9RO9MNBPSDRWFU_HWcJY\ hL`lNbpOdtGav9_x2Yy7TvCOtHJrMEpQ9nPHlPPjPXiOcgOkfO\ sdOzcotLmsMkrMiqMgpMeoNcnNamN_lN`nPaoUbpZbrccshdtm\ durbvvawz`xz`yz_zzZzzZzzYzzYzzZzzZzzZzzZzzXzzVzzUz\ zVzzSzzQzzNzzezzlzzszzyzz } END PARAMETER FILE=========================================

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FOTD 16-11-07 (A Seahorse Named Epsilon [6.5])
by Jim Muth 15 Nov '07

15 Nov '07

FOTD -- November 16, 2007 (Rating 6.5) Fractal visionaries and enthusiasts: It turns out we're still in the Zexpe fractal today, or at least one of the Zexpe fractals, since there are an infinity of them. And we're also still at the fourth level of the logarithmic ladder. Today we check the main-bay side of the southwest branch of what corresponds to Seahorse Valley of the parent fractal, where we find today's strangely realistic scene. I named the image "A Seahorse Named Epsilon" because it lies in a parent whose generating formula is Z^(e)+C. A rated it at a modest 6-1/2, one-half point of which is due to my coloring. The calculation time of 2-1/3 minutes is reasonable. It is equally reasonable to view the image by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it has already been calculated and posted. Heavy rain fell all night Wednesday here at Fractal Central. By the time it ended at 11am Thursday, 3.6 inches or around 90mm of rain had fallen. The rest of Thursday was cloudy and blustery, with a temperature of 45F 7C. A few puddles appeared in the new fractal cellar during the downpour, but nothing like the several inches that used to flood into the old fractal basement during heavy rain. The fractal cats slept through it all. My day was adequate. Hopefully, tomorrow will be the same. The next FOTD will appear in 24 hours at this same internet spot. Until then, take care, and if I could, I would go back to the year 1900 and spread the news that fractals were coming. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Seahorse Named_E { ; time=0:02:20.66-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=floor center-mag=+0.5129196182676702/-0.567400274301192/\ 1.208445e+010/1/37.4997739850628022/0.000251376\ 462945825108 params=2.71828182845905/0/4/0 float=y maxiter=4800 inside=0 logmap=228 periodicity=10 colors=000cRm_PjWNjSMkKRdIT_LTVIOcGT6EP7bhoBYoCSTJ\ WUFRIISwy`X`TK5gV9XJGpQEeJDWDbQJWPGPODINA9uaAlUBcM\ CVEZOQRNJJMDl`9_W8OR7v7mfCZRHLsSudQdQOOI0vv_MZTEgb\ t_YgSUWKQJlPu_OdONOF58EA7DE7CI72jB7Y99hm6qR9aHgJPN\ OE2T4S3vTFwTQwU`xUkxZ`jz_XzRJuK5mFBgA0a50Y00T00P00\ 5bx9UYaBGTFDKJAa0cV6VPBNIHFixoAJ0BK2BL4CM6A4IB9FBD\ CCI9d7_VCQLHG2bg7UP1UZ_BmuwqimeZdUNVIVOHxhW8baAUMh\ umYiZNYLAyPBeG671t8YhCRYFKNJDekrWbbMUNKXoGRTFpOEeI\ DWCaXIVUFPRCIO9SmbMcSHVHNq8Ha7gIsXKbMLNV1GmO`cNTVN\ MLMEbwXGaiEUQUeUUaUCWICRCFI4EJ5DK6CL7GEmFGbEISDKH1\ zpedP826A97BG7A05BB6E9nDGTwhsg`bSTNPIzIKzoozW`zEZz\ DSz9YzTEzOGzKIzGKzBozCezCWzGvzEizDKzH6zFAzEEzDIz6v\ zW9zMGzNZzKVzHSzEPz53z8AzAGzPjzLzZIzQFzGIzrLzvGzX1\ zbVzZOzPIzG6zs9zVQzH1zA7z8YzkzzlzzSzzHzzCzzizzizz7\ zz7zzSzzMzzHzzCzzAzz8zzYzzKzzvzzvzzXzzazztzzczzNzz\ VzzQzzLzzGzzBzzUzzIzzvzzX } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 15-11-07 (The Fractal Origin [7])
by Jim Muth 15 Nov '07

15 Nov '07

FOTD -- November 15, 2007 (Rating 7) Fractal visionaries and enthusiasts: It is claimed that it all began with a big bang, and we are told that speculation about what happened before the big bang is as meaningless as speculating about what lies north of the north pole. In both cases it is less than nothing. If this is so, then we have finally found a spacetime where fractals or even their potential does not exist. But even if there is no such thing as before the big bang, this makes nothing an idea that does exist. After all, we hear it said that the energy of the vacuum caused the inflation of the big bang, and if a vacuum, which is nothing, (or is it?), can have energy, which is something, then why couldn't fractals exist 'before' the big bang, when nothing did indeed exist? It's a puzzle that requires a new type of thinking and also a new definition of the word 'nothing'. But today's image most certainly is not nothing. It is a scene lying in the same Zexpe fractal that gave us yesterday's image. Today, we travel to the tip of one of the main stems of the parent, where we find a routine Zexpe minibrot. To add a bit of interest, I reduced the bailout radius, (imag[p2]), to the point where the entire scene was on the verge of being swallowed up. Then I gave the scene a very brilliant but rather heavenly palette of colors. When I viewed the result, I thought of the moment when when the Creator said, "Let there be light", and I named the glaringly brilliant image "The Fractal origin". The rating of a 7 seems reasonable for such a pastel-pale image. The image is one of the fastest ever, with a total calculation time of 10 seconds on the 2000mhz machine and 38 seconds on the 200mhz unit. The image if very fast, but the most convenient way to see the finished image is to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view it there. Wednesday dawned sunny here at Fractal Central, but the sun did not last long. Heavy clouds arrived before noon, and the rest of the day was heavily overcast, threatening the rain, which finally arrived after dark. The fractal cats were more concerned with falling leaves than the potential for falling rain however. My day was notably un-notable. The next FOTD will appear here in 24 hours. Until then, take care, and where would we be if the big bang had never happened? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Fractal_Origin { ; time=0:00:10.12-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=floor center-mag=+0.9853342206082071/-1.122216812523160/\ 2.144398e+008/1/-92.5/8.51735598085545664e-007 params=2.71828182845905/0/4/-97.7695 float=y maxiter=3000 inside=255 logmap=19 periodicity=10 colors=000LJWLN_LRcKWeKZiK`lK`oPaoUboYcoQdrbinuspr\ opelvbgr_drXbk_gfalgcpkuupzuprzymrqimiirfjwcjz`kzY\ kzWazQcxKewFgu9is4kq6mp8ooAqnCsmEulGwkIzjKziVzkezm\ pzo`zqMzs7zwBzwFzwJzwNzwRzwUzwXzw_zutzsszprziqzfpI\ mzNmzRmzVmzXmz_mz_mz`mz`mzamzamzamzcmzdmzemzgmzhmz\ imz_mzSmzWmz_mzcmzjmznmzrmzLmzMmzMmzMmzMmzXmzfmzem\ zcmzdmzQmzwmzpmzjmzAwzQwz8wzJwzUwz5wzEwzNwzWwzCwzK\ wzRwzYwzlwzhwzNwzWwzjwzhwzgwzewz`wzawzbwzcwzWwzZwz\ `wzbwzzwztwzowziwzawzbwzcwzdwzawzowzAwzQwzbwz0wzEw\ zSwzYwz8wzPwzqwzlwzhwzKwzQwzVwzQwzIwzQwzYwzVwzZwza\ wzrwznwzkwzgwz6wzswzowzkwzgwzdwzdwz3wzGwzTwzOwzgwz\ 6wzIwzUwz5wz2wzzwzuwzowziwzEwzNwzWwz7wzGwzOwzXwzOw\ zUwz_wz0wzBwzLwzVwzhwzHwzPwzXwz5wzNwz`wzawzbwzcwz9\ wzHwzPwzXwz7wzSwzZwzVwzYwz_wzbwzswzowzkwzgwz`wzbwz\ cwzAwzQwzawzcwzNwzTwzZwzIwzlwzVwzZwzawzewzhwzkwzew\ z`wzWwzRwzLwzGwzBwz6wzzzz } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 14-11-07 (Zexpe at Large [7.5])
by Jim Muth 14 Nov '07

14 Nov '07

FOTD -- November 14, 2007 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image lies in the Z^(EPSILON)+C Mandeloid, sometimes known as the Zexpe fractal. But today, instead of concentrating on the ground level, we examine the Zexpe at a height 4 levels up the logarithmic ladder, where it is shaped roughly like a Mandelbrot set rotated so that its west side is facing south- east. Today's scene is located in a tiny valley in a bud on the northeast shore of the main bay of this parent fractal. Only my modesty prevents me from admitting that most of the effect of the image is due to my coloring efforts. The extra half-point in the rating of 7-1/2 recognizes this effort. The name "Zexpe at Large" can mean whatever the individual fractal viewer wants it to. The magnitude of the image is 2*(10^13), large enough to make the mathtolerance entry necessary in the included parameter file. The calculation time of under 2 minutes on the fast machine would stretch to about 7 minutes on the slow unit. But even this small bit of time may be saved by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and viewing the finished image there. Tuesday dawned rainy here at Fractal Central, but the rain ended by 8:00am, leaving behind heavy clouds and a light fog. Then, just before noon, a breeze sprang up, clearing the clouds and fog almost by magic. The afternoon was sunny and quite mild, with a high temperature of 61F 16C. The fractal cats observed all this with passing interest. The squirrels foraging in the back yard were far more interesting to the cats. My day was fairly busy, though still well under control. The next FOTD will appear in 24 hours, give or take a few. Until then, take care of your fractals, for perhaps they are mere delusions that are common to many people. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Zexpe_at_Large { ; time=0:01:54.52-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=floor passes=1 center-mag=+0.77754390860285990/+0.036243793086052\ 48/2.00498e+013/1/-46.7/0 params=2.71828182845905/\ 0/4/0 float=y maxiter=1700 inside=0 logmap=156 periodicity=10 sound=off mathtolerance=0.05/1 colors=000ND9Q89T49X6D`8Gc9JgBMkDPnESrGVuHYcf8Y`AS\ VCNPEHKFCEH68J13KWGDzS6kcBXnGJyLBcV4IcQMVkQNjVMjZM\ ibLigLhkKhoKhsKilLifMj_MjUNkOOkHOlBPzzzzzzzmzvhzrc\ zmZviUrbPmWKiPDeI6eDIeEKiFMmFNpFOrFPtFQvFSxDUzBQdA\ TX8WO7ZG5a84c0CX6KQCSJI_DNYCPXBQWBSVATU9VT9WYDWaGW\ fJWjNWoQWsTWrX`r`eqciqgnpkspnwfbqYRlPFfG4aHDYHMUGV\ RITPKRNLPLNOJQMHSKFVIDXHBYIEYIHYJJYJMYKPZKRaJWeJ_h\ JclJgoIksIovIsyIwsJtmKqhLnbMkXNhSOeMPbHQ_ONWUKT`HP\ fEMlCJjJQhPWfVadahbgn`mtSmhKmXPh`TddY`haWlfSpjOtcS\ nXWiQ_cJcZCgUMbSVYQdTOmONlLOmQWnUboZipbpqfwbhiPjWB\ kJMgTWdbeal_ZjUWhOUfIUdCUb7U`EUcLUeRUhYUjcUmjUopUq\ VUaAUMKUHTUDaU8jU4_V6QW8GXA6YBDZDJ_FQ`GWbIabKhcLnc\ NtcOscQscRscTscUpcQmcMjcJhcFecBbc8_c4Yc1`cBbeLdgUf\ ichklgmigoggqdgsbdu_`wXYyUUzRRzOOzLKzIHzFDzCAz96z6\ 3z3wzjozdhzZ`zTczVfzXezXdzYdzYczYczZbzZbzZ`zTZzNYz\ HUzORzVNzaKz_9z9Cz9Gz9Jz9 } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 13-11-07 (A Hairy Situation [7])
by Jim Muth 13 Nov '07

13 Nov '07

FOTD -- November 13, 2007 (Rating 7) Fractal visionaries and enthusiasts: Today's scene returns us to the mother of all fractals, the Mandelbrot set, where we check a rather difficult area at the limit of a small side-bud of a radical on the northwest shore line of the large period-2 bud. This area is a difficult place in which to work because of its extreme iteration count, which in today's image is 1,750,000, demanding a logmap setting of minus 146,000. The magnitude of almost 6*(10^12) makes the mathtolerance entry necessary. If the calculation flipped to arbitrary precision math, the rendering would drag on for a day or more. The name "A Hairy Situation" came about when I noticed how closely the curving filaments resemble hairs. The rating of a 7 is all I could do for just another trip into the not-so-deep depths of the Mandelbrot set. I did put some extra work into the coloring, but not enough to figure in the rating. The calculation time of 9 minutes is reasonable. But this time is true only on my fast 2000mhz machine however. On the slow old 200mhz unit, the parameter file would take over 2-1/2 hours to finish. Since some fractalists still run Fractint on older computers, I have sent the image on ahead to Paul at the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where it may be viewed almost instantly. A cloudy, dreary, drizzly day here at Fractal Central on Monday brought pleasure to no one, not even to the F.C. cats. The temperature of 48F 9C was too warm to be cold and too cold to be warm. The ground was wet all day, though the total rain never amounted to even a single millimeter. The fractal cats showed their disgust by sulking at each other. My involvement with work left little time to be concerned with the weather. Luckily, the work went well. The next fractal image will be posted in 24 hours. Until then, take care, and what is the greatest number of fractals that might possibly exist? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= A_Hairy_Situation { ; time=0:09:08.57-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.1719\ 9191062237200/+0.24288823917726240/5.826131e+012/1 params=0/0 float=y maxiter=1750000 inside=0 logmap=-145837 periodicity=10 mathtolerance=0.05/1 colors=000AuzAuzAuzAuzAuzAuzAuzAuzAuzAuzAuzAuzAuzA\ uzAuzAuzAuzAuzAuzAuzAuzAuzBuzCuzBuzBuzBuzBuzBuzBtz\ BszBpyBmxBkwBhtBfqCcnDakEZhFWeGUbHS_IQXJOUKMRLJOMG\ LNFKODKQDKSCKUCKWBKZBKXCKVDLTFNRFPPGQOGUNHZMGcLGhP\ NmSUrW`vZfzbmzetzwzzzzzwvzetzdqzcozbmyajx`hw_gvZfu\ YdtXcsWbrV`qZ_pcZohYom_nm`nmbnmcnmenmfmmhmmimmkmml\ mmnlmolmqlmrlmtlmulmwgmybmzYzzZzzczzJzzczzZRpHUkGY\ fFa`FeWEzREzSDzTDzUCzUCmVBmWBmXAmXAmYAmZ9m_9m_8m`8\ ma7mb7mb7mc6md6me5me5mf4mg4mh4mi7mj9mkCmkEmkHmkJmk\ MkkOikRgkTekVckYak__kbYkdWkgUkiSklPknKkqFksAkuDksH\ krLkqPkpTkoXkn`kmaknakobkobkpckqckqdkrdlsenseptfsu\ fvuaylYzdUzXPzOLzGHz8LzAOzCRzDVzFYzG`zIczJgzLjzMmz\ OpzPmzRkzTizUfzWdzYbzZ`z`YzbWzcUzeSzgPzhNzjLzlJzmG\ zoEzqCzrAzt7zv5zw3zy1zz3zw5zu7zr8zpAznCzkEziFzgHzd\ JzbKz`MzYOzWQzTRzRTzPVzMXzKYzI_zFazDbzBdzAezAgzALz\ IGzHCzG8zF4zE6zF8zF9zFBzF } END PARAMETER FILE=========================================

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FOTD 12-11-07 (Ordinary Diversion [6])
by Jim Muth 11 Nov '07

11 Nov '07

FOTD -- November 12, 2007 (Rating 6) Fractal visionaries and enthusiasts: There is not much to be said about today's image, which is pretty much a standard scene deep on a filament in the eastern suburbs of the large minibrot on the main spike of the Mandelbrot set. I named the image "Ordinary Diversion" because fractals in general are a great diversion from the problems of life, while today's fractal, at least, is notably ordinary. After I chose the name, I pondered the rating for all of 25 seconds before giving the image a rating of a 6, which is a little above average, though a rating of 5-1/2 might have been more appropriate. The calculation time of 4-1/2 minutes is reasonable considering that the magnitude is well into the range of arbitrary precision math. The most convenient way to see the image, as always, is to go online to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and enjoy the already-calculated image there. Sunday featured sunny skies and somewhat chilly temperatures here at Fractal Central. The fractal cats approved of the high of 45F 7C . . . from the inside of the window, that is, while I approved of the peaceful day. With any luck at all, tomorrow will again be calm. The next FOTD will appear in 24 hours. Until then, take care, and try to dream of the fourth dimension. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Ordinary_Diversion { ; time=0:04:37.70-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.7399\ 006224257385013878/0.01216601517013797332455/3.676\ 873e+018/1/-92.5/1.45072149e-012 params=0/0 float=y maxiter=1550 inside=0 logmap=202 periodicity=10 colors=000Q5IP5JO5KN5LM5MH5NC5OG6PL6RQ6TV7__7ed7li\ 7rgMgf`YeoOdzEavH_oJYfLVWNTOPMHRJBJG5CIA5kGJzU0eHi\ 0CP0GP0KQSNRVRSXUTbRKhNBqT8c`nnjozzoRAKONXLOfIdlFi\ rCqr9us8qo7ik6_f6R`5KW4DS47K5BI5FM6IO6MR7QT7TU8XU8\ _U8XJ8U88S0BY0Eb1Gg2Jl4Lq5Mo5Nn5Ol5Ok5Pj5Qh5Rg5Rf5\ hT7yG8xKAxNBwQCwTDvWEvZFvaGmbCdc8Wc4Nd0Ed0Cf0Ah09i\ 07k06l09h1Ce2Eb2H_3KX4MU4PR5RO5OR3LT2IW1FY0C`0Ab0O\ OI`9aZOfYakXopWzulTnhVgeX`bZU_`NXbGUd9Rf2Og0Xg0eg0\ mg0RwmXvfbu`htVnsPtrJzqDsfCmWBgLA`RCVXEObFIhHBnJ5s\ K8qLBpMEoMHnNKmNNlOQkOOiLMhIKgFIeCGd9Ec6Cb4AE0HG2O\ I5UJ8`LAgNDmOGtQJzRLpPOfORYNTOLWEKZ5J`OLYeNVwPSZF_\ A6gJ7gS7g`8gh8ggGifNjfVleameiodppdwqdlbdbPdSAdI0id\ hddb`dXXdRTdLIXP7QSPYMfeHwmCxoBxqAys9yu8yw7zx6zy5z\ z4xz9vzEtzJrzOpzTnzYlzaezV_zPUzJxzbnzWezQXzJVz_SzS\ QzKez2`z5Xz8SzBhznbzdYzWTzMWz03zIKzZMzRNzK_zAWzBSz\ Cjz1bz5Vz9tz0cz5WzPWz0jzR } END PARAMETER FILE=========================================

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