March 2008 - Fractint - mailman.xmission.com

FOTD 19-03-08 (E-Va-Po-Ra-Ted [7])
by Jim Muth 18 Mar '08

18 Mar '08

FOTD -- March 19, 2008 (Rating 7) Fractal visionaries and enthusiasts: Today's image is evaporated, which means that all points on the screen, though they might have wandered far afield, are ultimately 'trapped', and will never escape to infinity. Without the active 'bof61' inside fill, the image would be a totally blank screen. The parent fractal came about when I combined various negative portions of Z^(-6.6) and Z^(-1.6), then added (1/C). This parent is a large elliptical hole in a blank background with a small triangular area of chaos on its inside. A circular hole lies inside this triangle, with something resembling an obese gingerbread-man inside the hole. Small localized areas of semi- chaos are scattered around the outer edge of this gingerbread- man, and today's scene lies in one of these small chaotic areas. I named the image "E-Va-Po-Ra-Ted", which tells that it is not really there. I rated it at a 7 because that's what I think it's worth. The calculation time of 36 seconds is unusually short, though the finished GIF image may still be viewed without the need of calculation on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Tuesday started cloudy and chilly here at Fractal Central. The rain arrived in the afternoon and continued through the rest of the day, while the temperature of 43F 6C did nothing to help things. The cats of F.C. spent the day ignoring the weather. My day was a bit on the busy side, though nothing that could not be handled. The next FOTD is due, and will appear, in 24 hours. Until then, take care, and with fractals, reason sometimes leads to the wrong conclusion. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= E-Va-Po-Ra-Ted { ; time=0:00:36.38-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident center-mag=+0.2246660595676335/-0.289955784158471/\ 1.606143e+013/1/-60/0 params=-0.1/-6.6/-6/-1.6/0/\ 1e+100/0/0 float=y maxiter=1500 inside=bof61 periodicity=10 mathtolerance=0.05/1 colors=0004Xr2UwAIrF4pK0mP0jU0g_0ep0zz0zz0zb0z00_0\ 040470NA0zA2VIPUmd2Uh0Ub0I4000700K0AU0Se0gpUuzzzzz\ uzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzUcz_Fzbbzezzgzzjzze\ zwbzr_mmUSgS7bP0XN0SK0NK0IK0FK0AI04I00I00I00N02P04\ U04X07b0Ae0Ag0KU0UIIe4_p0rz0zz0zp0zX4mINS0e70u04z0\ Nz2ezAwzIzzPzzXzzbzzezzggzjNzm0zp0ur0ru0zg0zU0zI0z\ 40z00z02r27b7APCCCIU0Pm0Xj0_g0_e0_b0__0bX2bU4bU7bP\ SgKmmFzrAzw7zzbzezzIzz0uz_Czz0zzAgzjKzz0zz0zz0zz0z\ u0zp0zg0zb0zX0zp0uzUUzz2zz0zz0bz04zA0zK0r00A0AF0UK\ 0pP0zU2zXPzXmzXzzKzr7zb0zN0z70z00z00z00z22zCCzS7wg\ 2jw0Xz0Kz07z00z00XNzz04z4AzAFzCKzIPzKUzXgzjuzwzzzz\ zzzwzzpzzgzz_zzSzzKzzCzzNzzUzjbzUjzFrz0zz0zz0zz0zU\ 0z0Xz0IAb20z00w00e02N0I40U00X20_F0bU0eg0gu0jz0mz0m\ z0Sz07z00z00z7NzjzbzjgpImK0r00u00m00e0I_I_S_rKuzFz\ z7zz2zz0zz0zz0zz0zr0zb0zNNz7mz0zz0zz0gz00_04b0KbCX\ eUmepzgzzgzzbuz_pzXzze7_m } 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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FOTD 18-03-08 (Deeply Fractured [6.5])
by Jim Muth 18 Mar '08

18 Mar '08

FOTD -- March 18, 2008 (Rating 6.5) Fractal visionaries and enthusiasts: Today's image exists in the Z^(1.2)+C Mandeloid as it appears PI levels up the complex logarithmic ladder when no function is applied. The parent fractal at this level isn't much to look at, but it is surrounded on its west side by bits and pieces of cut-off spirals, and the image sits on a node of one of these pieces of a spiral. Actually, the pattern around the tiny minibrot at the center is unusually well organized for a scene in a fractal in this low exponent range, with tiny cut-off pieces of spirals hiding every- where, and the 4-way near-symmetrical arrangement of elements adding just enough interest to raise the rating to a 6.5 The name "Deeply Fractured" describes the broken-up nature of the scene. The calculation time of just over 1 minute will cause no one to lose patience. And if all else fails, the fin- ished image is or soon will be posted on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Monday turned out very pleasant here at Fractal Central. There could hardly be a better way to end winter than with a Saint Patrick's day of full sun and a temperature of 48F 9C. The local fractal cats must have agreed, for they got into a tussle over who would sit in the sunniest window. My day was mostly average; tomorrow should be the same. The next FOTD will be posted in about 24 hours. Until then, take care, and when science tells us that the universe is about 13.7 billion years old, what is doing the talking? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deeply_Fractured { ; time=0:01:01.73-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident float=y center-mag=-2.704804574677948/+1.557515314601944/\ 4.747e+009/1/-10/0 params=1.2/0/3.14159265358979/0 maxiter=2400 inside=0 logmap=154 periodicity=10 colors=000F2EL5HR7KX9NbBQcETcGWcIZcKanbXcsdTzifzfz\ h0zzUQhNPXHOPAOF4xlpsohoqaksUguNhlPidQiXSjPTjHUcIV\ zIKzIKzIKgJXgJXfJYfJYdGTbEO`BJ_9Fm6Am45V21Y2B`2Lc2\ Ve2daLdZbdWtd_o_bjWfeSi`NzWJzRF8k09i29g39f59d69b89\ a9AdABfACiBDkBEnzFpzGsCGuCInFJhHLaJMWLNPNPJPQCRR6T\ N5VJ5XF5ZC4_84a44c14d86cE8cKAcRCcXEcbGccN`cTZc_Xce\ UclScrQcxOP`TBEXBMRBUKBaEDcFEdFFeFHfFIgFJhFLiFMjFN\ kFPlFQmFRnFToFUpFVqFWrFYlE_gEabDcYDeSCgNCiIBkDBm8B\ k9EjAGhBJgCLeDOdEQcFSaGV`HXZI_YJaXKc_LgaLjdMmfMpiN\ skNviOuhOtgOsfOrdOrcOqbPpaPo_PoZPnYPmXPlWPlZUiaYgd\ aefeciialm_nqYopWopVooUooTooRonQonPonOomNomLomKolJ\ olIolHkjFhiDdgBaf9Ze8bg7eh7ii7lj7pl6sm6wn6zo6tpBnq\ FhrKcsOYtSSuXMv`HwdBxi5ym0zq9znHzkPziYzfezcmzaizce\ zeazgYzhUzjQzlMznIzoHznHznGznGznGznFznFznEzmEzmEzm\ DzmDzmCzmCzmCzmEzkGzjIzhKzfMzeOzcQzaSz`UzZWzXYzWVz\ UazWezVizUmz9qzBtzDwzFzzH } 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 17-03-08 (Deeply Evaporated [8])
by Jim Muth 16 Mar '08

16 Mar '08

FOTD -- March 17, 2008 (Rating 8) Fractal visionaries and enthusiasts: Today's evaporated image has its problems, but despite its difficulties, it still rates a solid 8. Perhaps its greatest problem is that its magnitude of 1.67*(10^13) is beyond the range of perfect definition. But the resulting jagged edges actually add a kind of atmosphere to the scene. The parent fractal came about when I combined 7.5 negative parts of Z^(-1.1) with 0.75 negative part of Z^(-11.4) and added (1/C). It's a typical fractal of its type, with a N-S oriented string of large bays and a very prominent 'fan' extending east along the X-axis. Today's scene lies very deep indeed in one of the small areas of chaos on the bay-side edge of the fan. I named the image "Deeply Evaporated", which pretty much describes it. The calculation time of just over 6 minutes is a bit slower than ideal, but still well worthwhile for an image rating an 8. Of course, all thoughts of calculation may be banished by visiting the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and enjoying the finished image there. Sunday turned out to be quite pleasant here at Fractal Central. There was not quite as much sun as on Saturday, and the temperature never rose above 45F 7C, but I actually did nothing for most of the day, which, after yesterday's workout, seemed perfect. The fractally-inclined cats agreed. The next FOTD will make its much-anticipated (I hope) appearance in 24 hours. Until then, take care, and how could the 'Big Bang' have made such a big bang if no one was around to hear the sound of the mighty explosion? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Deeply_Evaporated { ; time=0:06:12.34-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.537355049906006/+1.289379920883854/\ 1.677409e+013/1/79/0 params=-7.5/-1.1/-0.75/-11.4/\ 0/1e+100/0/0 float=y maxiter=1800 inside=bof61 periodicity=10 mathtolerance=0.05/1 colors=000KXLHg7If9IeAJdBJcDKbEKaFL`HL_Ifm5el6dl6c\ k7ck7sj8aj8ii9`i9_hAZhAZgAYgBXfBXfCWeCVeDUdDUdETcE\ ScFSbF`5H_DEZKBYR8XY5Wd2Vc4Uc5LZJTb7Sb8RaAQaBP`CO`\ EN_FM_H00MLsqLqoLpmLokLnjLmhLlfLkdLjcLiaLh_LgYLfXL\ eVLdTLcRLbQLaOL`ML_KwSKuTJtTJsTJqTJpUJoUJnUJlUJkVJ\ jVJiVJgVJfVJeWJInEHhBHc9HZ7HT4HO2HJ0gsqZngRiYJdOB_\ E3W4APMGIcMCuNPsOaqOmoPolQpjRqhSsfTtdTubQkXObSMTNJ\ KIHADF18HEDUTUJaMKmRLyVUnWacWjTWrIWz7WyBUyESyHQxLO\ xOMxRLqUHkWDeYA__6Ua3_Y6dV9`RDYNGVKKSGNOCQL9UI5XF2\ _S3Vd4Qq4MrFRsPVsZ_thctrgaaTKME260c0Jf5HhAGjEElJDn\ NCmKImIOmGTmEZlBdl9il7ol5to4pq4ls3iu3ew2ay2Zr4Tk5O\ d6JY7EcHPiR_o`jvzztdutZusTusNurHurBur6uuExxLzqTrk_\ jdgbZnV000acPi`QqRRyHRVLXn9iZRZzbbeYelUgeQjZMlTInW\ QmYYl_dkZdjZdiYdhYOgXcfnSjWcdWWcVbbVUaUb`Ua_TaZTQY\ SaXROWR`VQ`UQ`TP`SP_RO_QO_PN_ONZNMZMMZLLZK93jA6gB9\ eCBcDE`EHZFJXGMUHPSIRQJUN } 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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FOTD 16-03-08 (Typical Rings [No Rating])
by Jim Muth 16 Mar '08

16 Mar '08

FOTD -- March 16, 2008 (No Rating) Fractal visionaries and enthusiasts: Sorry for the late FOTD. On Saturday I unwisely volunteered to get the end-of-winter yard work started here at F.C. But what began as a 2-hour job turned into a job that was only half finished at day's end. As a result, the fractal for today suffered. Today's quickie image deserves no rating, and I gave it none. The name "Typical Rings" describes the appearance of the image, with its rings that are so typical of fractals of this double- negative type. The calculation time of 2 minutes means that no one will have invested much effort if they are disappointed by the image. And the finished product will be available on the FOTD web site as soon as Paul can get it posted. The web site may be accessed at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A cloudy morning on Saturday was followed by a sunny afternoon with a temperature of 57F 14C here at Fractal Central. The fractal cats approved of these conditions. My day was over-occupied by outside work. I expect tomorrow will be much better. The next FOTD will be posted in around 12 hours. Until then, take care, and turn to rational science for some of the answers. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Typical_Rings { ; time=0:02:03.01-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.60777245459127900/-8.336287136733802\ 00/5.021824e+008/1/-145/0 params=-5/-1.15/-0.75/\ -7.5/0/0/0/0 float=y maxiter=1500 inside=0 logmap=160 periodicity=10 colors=0000AA0AA0AA0AA0AA0AA0BA0CA1D85E7AH9FKAKNBP\ QDUTEZWFcZGhaImdJrgKvjMzmNzpOzrPzeJzTDsH8mLBhODbRG\ YVISYLN`NHdQCgS7jUKlXWmZgnaimYkkUdhKYeAXbBX`CXZDWX\ EWVFWTGVRHVPIVNJVLKUMOTMRSMVSNYRNaQNdQOhPOkOOoOOrz\ UKzkIzw0zv3zzzzzzzzzzzzzzzzzzzqOzpRzpUHoXFn_DnbCme\ Alh9ljFjeKi`QhWVgS_eNedIjcDob9kXAhSAeNAaIAZDAW8AT3\ ALF7DQ5MHIU8Va0gcIke_ngqqfmpfioffnfbmf_lgZkhcziczi\ czjczkczlVzlUzmUznTfoSeoSeiPjdNoZKtUIyWItXIpZIk_Ig\ `IbbIZcIVdIQfIMgIHhIDjI8kI4lI0mH5mG9nFEnEIoEMoDRoC\ VpBZpAcqAgq9kr8pr7tr7xeMlT`aWXcZUfaQhdNkgJmjGpmCrp\ 9tmBsjDsgFreHrbJq_LqYNqE_oVPpSRpPToNVoKXnHZnRcWPcZ\ Oc`MccLceJcgIcjGclGcjFclFcmAcr7cvBcrZUNXUQVUSUUUSU\ XQZZPc`NhcLmeKrgIvjGzlSzlLzmGz4Fz9FzDFzHFzMFzQFzUF\ zYFzbFzfFzjwz_pzbjzdczfYzhRzjLzlZzcXzdVzeUzfSzgQzh\ PziNzjLzkKzlIzmGzn7zB8zF9zJAzMAzQBzUCzXDz`DzdEzgFz\ kCzQDzSDzUDzVDzXDzZEz_Eza } 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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FOTD 15-03-08 (Forever Fractal [8.5])
by Jim Muth 15 Mar '08

15 Mar '08

FOTD -- March 15, 2008 (Rating 8.5) Fractal visionaries and enthusiasts: Unless I'm mistaken, today is that ill-fated day, the Ides of March. And what better way to celebrate the day than with a fractal. The fractal in question is a near-Julia set of the Seahorse Valley area of the (-Z)^1.44+C Mandeloid. The difference between a near-Julia set and a pure Julia set is immense. To see the difference, change the (p2) parameter to 0,0 and re-run the parameter file. Actually, a near-Julia set is simply an oblique slice through the four-dimensional Julibrot figure, very close to but not exactly in the Julia orientation. The unusually terraced effect of the image was created by rendering it with the outside set to 'tdis', which draws the bands according to how far the points travel before passing beyond the escape radius. I named today's image "Forever Fractal". Fractals are creations of mankind as much as the complex numbers that bring them into being. I rated it at an 8-1/2, including an extra 1/2 point for my coloring expertise. Finally, the calculation time of 2-1/2 minutes should cause no one to feel impatience. And as always, the finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> An unusually pleasant day graced Fractal Central on Friday, when lots of sun and a temperature of 61F 16C brought out the best in both man and cats. The lighter than expected work gave ample time to enjoy the outdoors. Unfortunately, rain moved in just after nightfall, and Saturday will not be nearly as pleasant. But whatever, the next FOTD will appear, probably on schedule in 24 hours. Until that enlightening moment, take care, and to where is our over-developed intellect and under-developed wisdom leading us? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Forever_Fractal { ; time=0:02:31.65-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=EvenMoreSlices center-mag=-0.289695/0/\ 1.253133 params=1.44/0/0.004/0.004/-0.7393818/\ 0.0302556/0/0 float=y maxiter=10000 inside=0 outside=tdis periodicity=10 colors=000HhzHczGZzGUvFPmEKcEFUD0K70BA0CD0DF0EI0FL\ 0GN0HQ0ET0BQ18T49V79XA9ZD9`F9bI9dL9gOAiRAkTAmWAoZA\ qaAsdAze7wf9ufAsfCqfDofFmfGkfIhgJfgLdgMbgO`gPZgRXg\ SUhUShVQhXOhYMh_Kh`IhbFicDieBif9ih7ii5ik1kn3il5gk7\ fj9diBbgCafE_eGZdIXbKVaLU`NS_PRZRPXTNWUMVWKUYIS_HR\ aFQaEPbCNcAMd9Le7Kc4Dc5Ge6Jg7Mi8Pk8Sm9VoAYqB_rCbsC\ etDhuEkvFnwGqzFwxGuwGsuGqtGorGnqGloHjnHhlHgkHeiHch\ HafI_eIZcIXbIV`ITeMLbKP_ISXGVUEYRC`OAcL8fJ7iK9hLBh\ MCgNEgNFfOHfPIeQKeRLdRNdSOcTQcURbVTbVUaWVaXV`YW`ZW\ _ZX__YZ`_Za`YbnYas`boZbkYbgXbdWb`VbYUbWTbTSbQRaOQ`\ LP_IOYEOYGNZHN`JNaKNbLNcNMcOMcPMcRMcSMdULdVLdWLdYL\ dZLd_LeaKebKedKeeKefKfhJfiJfjJflJfmJgoHfnJfmKflMek\ NejOeiQehRdgTdfUdeVcdXccYcbZca`b`ab_cbZdbYeaXgaWha\ Vi`Uk`Tl`Sn`Ro_Qp_Pr_Os`Lu_Nt_OtZPtZQtZRtYTtYUtYVt\ XWtXXtWZsW_sW`sVasVbsVdsUesUfsUgsThsTjrSkrOlzNmzNm\ zMmzMmzLmzKmzKmzJmzJmzImz } frm:EvenMoreSlices {; Jim Muth ; P1--exponent, P2--angle, ; P3--M center, P4--J center, z=pixel+(p4), c=p3+(pixel*p2): z=(-z)^(p1)+c, |z| < 16 } END PARAMETER FILE=========================================

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FOTD 14-03-08 (Arc of Evaporation [7.5])
by Jim Muth 14 Mar '08

14 Mar '08

FOTD -- March 14, 2008 (Rating 7.5) Fractal visionaries and enthusiasts: The March issue of 'Sci-Am' magazine has an article about the expanding universe that I found interesting. It appears that in the unimaginably distant future the universe will have expanded until all the galaxies except those of the local cluster will have receded beyond the event horizon. And also by that time, all the galaxies in the local cluster will have condensed into a single giant elliptical galaxy, consisting of very slowly dying red-dwarf stars. The most distant objects visible will be dim red stars perhaps 200,000 light-years distant, and all evidence of the expansion of the universe and therefore of the 'big-bang' that we presently assume created the universe will have vanished. If any astronomers still exist in that remote future time, the thought of an explosive 'big-bang' origin of the universe would never have entered their minds. They would have no clues as to how the 'universe', which by then would be a single elliptical galaxy filled with small dying red stars, came into existence. Most likely the astronomers of the year 10-trillion would invent ingenious scientific theories that would appear logical to them, but would seem ludicrous to us with our present broader view. Of course, when we consider our current 'big bang' hypothesis, we are in the same situation as those distant future astronomers would be. We have no idea of what might have caused the assumed 'big bang' that created the universe. The simplest way out is to brush the problem aside by claiming that time as we know it did not exist before the 'big bang'. If we assume this, we can then claim that it is meaningless to ask what happened 'before' the 'big bang'. But this is really spinning our way out of the problem. As I said a week or two ago, we don't even know what we don't know, and this is especially true of me. I do know something about today's image however. It exists in the same parent fractal as the past 3 days' images, and lies just beyond the edge of the 'fan'. The name "Arc of Evaporation" describes the prominent dividing line that runs diagonally through the image and separates the 'evaporated' from the 'unevaporated' parts of the scene. This apparently straight line is actually an arc of a circle that is centered at the origin of the parent fractal. The line appears straight because only a tiny part of the whole circle is visi- ble. The evaporation is spreading from the lower left toward the upper right, and is controlled by changing the escape radius, which is set by the imag(p3) parameter. To add a bit of spice, I rendered the scene with the inside set to 'atan', though a couple of the other inside fills also do a good job. After careful study, I rated the image at a 7-1/2. The calcula- tion time of under 1-1/2 minutes is speedy enough for all but the most restless fractalists. And as always, the finished image can be seen on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> An enjoyable end-of-winter day prevailed here at Fractal Central on Thursday, with sunny skies and a temperature of 54F 12C. The cats of F.C. were more concerned with the local pigeons than the generous sun. My day was as close to normal as days get. With any luck at all, tomorrow will be the same. The next FOTD fractal will appear in 24 hours or so. Until then, take care, and time will never come to a complete halt, but it will never stop slowing down either. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Arc_of_Evaporation { ; time=0:01:24.43-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+5.507580654866794/-0.4053643733147778/\ 2809.232/1/35/2.96780140046637442e-009 params=-5/-1.15/-0.75/-7.5/0/76235000000.0/0/0 float=y maxiter=800 inside=atan periodicity=10 colors=000d0aa0dZ0hW0iT0mQ0zN0zL0zI0zG0zD0zA0z70z4\ 0z20z00z00z04z0Bz0Iz0Oz0Wz0cz0kz0sz0zz0zz0zz0zz0zz\ 0zz0zz0zz0zx0zv0zt0zq0zo1zl2zk4zh6zf7zd9zf9zf9xf9v\ f9sfAofAlfAkfAhfAdfBafB`fBYfBVfBTfAQ`9OW7NR6LN4KI2\ ID1H90G40E00D00E00E00G01G01H01H01H02I02I02K04K04L0\ 4L04L09O0DQ1HT2KV4OY6TZ9YaA`cBdfDihEnkHqqIvxKzzczz\ NzzuzzKzzHztDylAvd6tY2qQ0oI0nB0o60q00s00v00u02u04z\ Q6zQ7zQAu0Bv0Dw0Ew0Dw0Bt0Bs0Aq0An09l07i07h06f06k49\ nGBqQDtaGxlHzyKzzLHWWDY`AZd7`h4al1cq0dt0fy0fz0`x7V\ tDQqKKlQGiYAfc6ak0Zq0Wi0`a0cW0hO0kH0oB0sG0qK0qN6oR\ AoVGnZLnaRlfWliaknhkqlktkaxiTyhKzfBzd2zc0zOLzAlz0z\ lHkTcKGiN2nO0sQ0oT0lW0kY0h`0da0cd0`f0Yi1Wk2Tn2Ro1T\ f1VZ1VR1WI1WB1Y41Y09Q9GKKNEWV9ha2sWAoQHlKOkEWh9af9\ af9af9`f9`d9`d9`d9`d9`d9`c9Zc9Zc9Zc9Za9Za9Za9Za9Ya\ 9Y`9Y`9Y`9Y`9YZ9YZ9WZ9WZ9WY9WY9WY9WY9VY9VW9VW9VW9V\ W9VV9VV9TV9TVz0Tt0Vo0Yi0` } 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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FOTD 13-03-08 (The All-Seeing Eye [?])
by Jim Muth 13 Mar '08

13 Mar '08

FOTD -- March 13, 2008 (Rating ?) Fractal visionaries and enthusiasts: Today's curious image reminds me of the pyramid with the all- seeing eye on top, which appears on the back of the U.S. one- dollar note. There are all kinds of legends as to exactly what the symbol means. One of my favorites is that the world's most powerful governments are secretly under the control of space aliens from the Sirius or some other nearby star system, and the eye represents the watchful eye of the aliens, who keep constant watch over us to prevent us from destroying ourselves. This might or might not (probably not) be true, but one thing for certain is that the empty area in today's image is not your everyday minibrot. The image lies in the handle of the fan of the parent fractal, which is the same parent that gave us the past two day's images. For added interest, the scene has been evaporated and the remaining inside stuff resurrected by the bof61 inside fill. There is also a bit of skewing in the image, to straighten the all-seeing pyramid. I had no luck at all trying to decide what rating to give the image, so in the end I let it go with a question mark. The calculation time of 13 minutes is admittedly a bit burdensome for an image of such questionably quality. But if curiosity gets the better of you, and you have no desire to calculate, your desire may be satisfied at the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image is or soon will be posted for immediate viewing satisfaction. Well, my thunder was stolen by the 'dark and stormy night' web site. Yes, the line first appeared as the opening of the 1830 novel "Paul Clifford" by Lord Bulwer Lytton. But I have a 100- year-old book of the entire novel lying next to me as I write this, and the last sentence of the novel is almost as hilarious- ly terrible as the first sentence. In fact, the whole novel is hilariously terrible. The last sentence, which is printed in capital letters, reads, "THE VERY WORST USE TO WHICH YOU CAN PUT A MAN IS TO HANG HIM!" But my favorite version of the opening sentence, perhaps penned by snoopy on his dog house, perhaps partly altered by myself, reads, "It was a dark and stormy night -- a door slammed, the maid screamed, a pirate ship sneaked into the harbor, guns blazing!" A cloudy morning, partly cloudy afternoon, and a temperature of 45F 7C made Wednesday notably un-notable here at Fractal Central. The cats of F.C. were not at all impressed. I am enjoying the return to near normalcy here at F.C., and if nothing goes awry, tomorrow will be another near-normal day. The next FOTD will appear in 24 or so hours. Until then, take care, and what if time has no end, but what if it does? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_All-Seeing_Eye { ; time=0:13:07.30-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=-0.23700214367252690/+0.051971778823846\ 56/3.277993e+009/1/-17.4999973863296674/-24.921469\ 1935744206 params=-5/-1.15/-0.75/-7.5/0/9.99999999\ 9999999e+074/0/0 float=y maxiter=5000 inside=bof61 periodicity=10 colors=000C16603RHQIBH958NKPHFIBAC5561QoNmnH`aBPPl\ RhMEsbJtsOurMpqKlpIhoGdn3YoF`pRcrhcpafoWhmQjlKljEn\ i8ph2rb5lY8fTB`OEWJHQEKK9NE2FA4Q95_80g96i7Ck5Il3On\ 1CDiLXNTo0NeUWStIXwK9PCNg4`zDWrMRjVMccHWlCOt8H9QxI\ bqRokSiiTdgU_eUUcVPaWK_yOujJiWFYp04Z6EHBNLDLOFJSHH\ VIFZKDaMBeO9xH3hP8IU0TPAUWCVbEZk9VhGReMMfPNcSN`UOY\ XOVZPSaAMnPQcbTTBYUpWJnTGlQEjNBiK9gH6eE4i91fB2dC2b\ D2`F2ZG2OagTRNXH2ZF4`E5bD7dC8fB9hABj9C4Z`k8DeBI_DM\ UFQOIUIKYCMaIEm1Vm6OeBHYB6RGBQKFQPJQTNQYm4XaFXRQXF\ `a0mX4jS8hNCeIGcDK`8OZ4SXIOWuslVLWXNYYOZ_P_`RabSbc\ TcJutUgldUdpDhoFbnHYmJSmLNlNIkPCjR7jT2UT3DT3_TeKgY\ 4vQPldicrbepXfnRglLhkQVmVIo_5q0J78U7Gd7No7Qm4Tl1Qd\ BNYLMdRLkWKr`JxeOlfTafXRfkgbyxZt`lpEyoMjoUWoaHwwzH\ ELwZBcN72KKKB3TbUEJFY5NM3FB17lhf_XWOMLCBAz7gV3MH_I\ 8I9SafEJL8VxBvphnSMPEPAoC5QJfzCSe6ELrQ5dJ3RD2D61TA\ TL7LE5E727zSMxEybMYO2DI19 } 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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FOTD 12-03-08 (Testing Testing [7.5])
by Jim Muth 12 Mar '08

12 Mar '08

FOTD -- March 12, 2008 (Rating 7.5) Fractal visionaries and enthusiasts: I named today's image "Testing Testing" because I found it almost by accident while I was running a time test. The rating of a 7.5 includes 1/2 point for my semi-skilled coloring, which is responsible for the rather moody silvery-blue palette. The parent fractal is the result of combining various negative portions of Z^(-1.15) and Z^(-7.5), then adding (1/C). This parent consists of a north-south string of large bays, with the southernmost bay being the most mandel-like. The filaments extending from the buds along this bay terminate in rings, shaped more like lima beans than circles. Today's image is located in the inside of one of these lima-bean rings. The calculation time of 31-1/2 seconds is surprisingly short for such a pleasing fractal. No one with a computer that can still handle DOS has a reason not to run the included parameter file. And those with machines unskilled in DOS may see the image on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A pleasant day prevailed at Fractal Central on Tuesday, with partly cloudy skies and a temperature of 46F 8C. The fractal cats spent the afternoon enjoying the periods of sun and being sulky when the clouds blocked the sun. My day was eminently average, which, after the recent hectic activity, was all that could be hoped for. The next FOTD will be posted in 24 hours. Until then, take care, and who first wrote 'It was a dark and stormy night.'? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Testing_Testing { ; time=0:00:31.57-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip center-mag=-2.946876788769/-4.19126281472/11868.3/\ 1/-167.5/0 params=-5/-1.15/-0.75/-7.5/0/0/0/0 float=y maxiter=280 inside=0 logmap=29 colors=0008HOCLSGPWKT_OXcSYgTcjQclUhoUjqbmscpvkrxm\ tzzzzzzzvvvmmmcccUUUKMCFOFFRKGTPHWUIYZJ`cKbhLemMgr\ NjvOlzPozQqzRszQrzPrzPrzOrvOrrNrmNrhMrfLrcLraKr_Kr\ YJrWJrUIrSIrQ7dSD`UJXWOTXUPZ_L_dHajDbp9du5ez1gz0hz\ 0_z0Rz0Iz0Az0Fz0Kz0Pz0Tz0Yz0bz0gz0kz0pz0uz0yz3sz6n\ zAhzDczGZzpSzkZzfezalz_mzYnzXozVpzUqzSrzQszPtzNuzM\ vzKwzJxzIszHnzGjzGezF`zEXzDSzDOzFSzGWzHZzIbzJfzKiz\ LmzOqzRtzUqzXoz_mzbjzehzhfzkcznazq_ztazwbFzcHzeKzf\ MzgPziRzjUzkWzlXzmXzmXzmXznYznYznYzoYzoZzoZzpZzpZz\ pWzoTznKzC`zFZzIYzKXzMWzO`zMezLjzJozItzGxzFvzKuzPt\ zUszZqzcpzhozmnzrmzmlzilzekz`kzXjzTjzPOzTQzWRzZSza\ TzdUzgRzdPzaMzZKzXSzU_zRgzPozMwzJzzHqzjkzaezT`zLFz\ gIzZLzQOzH`zMlzRxzVzzczzlzzuzzsyzqwzouzmrzjpzhnzfl\ zdjzblzZmzWnzTpzQqzNrzKtzHuzEvzBxz8yz5zz2zzRzznvzi\ ozehz`azXVzSOzOPzJQzFRzARz6YzEdzLjzTqz_xzgzznaztAz\ zJzvRzrZzogzkozgwzdszeYzN } 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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FOTD 11-03-08 (Feathery Fantasy [7])
by Jim Muth 11 Mar '08

11 Mar '08

FOTD -- March 11, 2008 (Rating 7) Fractal visionaries and enthusiasts: In today's image we enthusiastically return to the workhorse MandAutoCritInZ formula, where we envision great fractal things, making us enthusiasts who see visions of things that are not really there. But let's not concern ourselves with whether fractals are subjective things existing only in the mind, wherever that is, or objective things existing 'out there' wherever that is. Fractals are fun to look at, and that's all that matters. Today's feathery image most certainly does exist objectively. All who run the parameter file will see the same thing. Yet it most certainly is also subjective, for all we can know of it is a picture on a screen. The scene is located at the edge of the 'fan' of the parent fractal, which itself is a north-south string of large bays, the whole thing surrounded by cut-off rings of all shapes and sizes. The entire fractal is a fantasy, a "Feathery Fantasy", which I have rated at a 7. The parameter file runs in 1-2/3 minutes, making this FOTD quite a bargain. And as always, the finished image is available on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Rather pleasant conditions prevailed Monday here at Fractal Central. The temperature of 48F 9C and warm sun felt quite spring-like. The dynamic duo of fractal cats agreed as they watched a pair of squirrels searching for nuts in the yard. In my department, the work backup is actually coming under control. The next FOTD is due, and will likely actually appear in 24 hours. Until then, take care, and the answer is 42, but what is the question? (As amatter of fact, I doubt that there ever was a question.) Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Feathery_Fantasy { ; time=0:01:39.85-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.95824372537/-2.95794068526/665.158/1\ /47.5/0 params=-5/-1.15/-0.75/-7.5/0/0/0/0 float=y maxiter=1500 inside=0 logmap=90 periodicity=10 colors=000Oc8Od8Oe8Pf8Pg8Ph8Qi8Qj8Qk8Qk8Sh9TfAUdBV\ bCW`DXYDYWEZUF_SG`QHaNHbLIcJJdHKeFLfDLcCKaCK_BKXBJ\ VAJTAJQ9IO9IM8IJ8HH7HF7HC6GA6G77D86G96IA6KA6MB6PC6\ RC6TD5VE5YF5_F5aG5cH5fH5hI4jJ4lK4oK4qL4sM4uM4wSBvX\ IvbPugWumbtritzqwwotumqsknqikngilefjccha`e_ZcYWaWT\ _UQYSOWUQUWRSYTQ_UOaWMcXKeZIf_GhaEjbCldAne8pg6zz4y\ z3zz6zz8zzAxzDkfFieHgdKdcMbbO`aRZ`TW_VUZYSXVPWXNV_\ LUaJTcGSfERhCQj9Pm7Oo5Nq3Mo7OmBQlFSjJThNVlRXjVZhZ_\ gbaefcekedjdcjdbidaidaid`hd_hdZhdYgdYgdXfdWfdVfdUe\ dUedTedSddRddQcdQcdPcdObdNbdMdcNbdO`eP_eQYfRWfRVgS\ TgTShUQiVOiVNjWLjXJkYIkZGl_DnZFlZGkYIjYJiXLhXMgWNe\ WPdVQcVSbUTaUU`TWZTXYSZXS_WRaVRbUQcSQeRPfQPhPOiOOj\ JOkNUlR`mVgnYfoZfpZfq_fr_es`et`euaevaewbdxbdycdzcd\ zdezdgzeizekzfmzfozgqzgszhuzhwzizzmzzizzezzazzZzzV\ zzRzzNzzJzzKzzKzzKzzLzzLzzLzzLzzMzzMzzMzzMzzNzzNzz\ NzzNzzOzzOzzOzzOzzPzzPzz8 } 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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FOTD 10-03-08 (The Last Straw [5])
by Jim Muth 10 Mar '08

10 Mar '08

FOTD -- March 10, 2008 (Rating 5) Fractal visionaries and enthusiasts: The trip to Old Fractal Central on Saturday was filled with difficulties. On the way down route 15, I ran into a pea-soup fog that cut speed to 35mph. When I got to Baltimore over an hour late, I found the power off at Old F.C. and the phone dead due to a wind-storm that had just passed. Luckily, the old fractal cats, Thomas and Tippy, who are showing their age, were not disturbed by the darkness, but I did not enjoy the thought of spending a night in the dark and cold. The power returned around nightfall, which made my overnight stay there at least comfortable. On Sunday morning I managed to find a working computer at a neighbor's house and determined that conditions in Cleveland were not as bad as I had feared, which meant my sister would likely make it back to Old F.C. on Sunday evening as planned, and I could return to New F.C. early Sunday as scheduled. By the time I got back to New Fractal Central at 11am Sunday, my sister had already left a message on the answering machine, telling me that she would arrive at Old F.C. that evening. It is now just after 5pm Sunday, and I have just contacted her near Breezewood, PA, which is about 2 hours from Old F.C. The old fractal cats will not be alone tonight. Fractal lady, who kept New F.C. going while I was away, found the whole thing rather amusing. The new fractal cats agreed. I got rather grumpy. It's easy to make light of a frustrating situation when it is happening to someone else. Now on to the business at hand. Today's image lies in the parent fractal that results when Z^(1.618034)+C is iterated at a height of 1.4142 on the complex logarithmic ladder and no function is applied. This parent fractal is split along the entire X-axis and resembles nothing as much as a mis-shapen sweet potato, sometimes called a yam. Today's scene is located on the eastern shore of the main bay, just below the X-axis split, where some unusual features caught my eye. No more need be said about the hastily-found image, which I named "The Last Straw" and rated at a 5. It will speak for itself when the included parameter file is run. And running that parameter file can be accomplished in under one minute. Another way to hear the image speak for itself is to view it on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Saturday was stormy at Old F.C., with a surprising temperature of 66F 19C. Sunday was sunny but windy and chilly here at New F.C, with a temperature of 36F 2C. The new fractal cats took advantage of the sun. In my work department, things are at last showing signs of getting caught up. The next FOTD will likely be posted in 24 hours. Until then, take care, and be on the alert. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= The_Last_Straw { ; time=0:00:48.40-SF5 on P4-2000 reset=2004 type=formula formulafile=allinone.frm formulaname=MandelbrotBC3 function=ident center-mag=+1.230922957934507/-0.1029202290921805/\ 3365054/1/-95/0 params=1.618034/0/-1.1412/0 float=y maxiter=1800 inside=0 logmap=122 periodicity=10 colors=000GAPHDLKGVKIQKK_6KYKK`KKjKK`KKkKKaKKkKKaK\ KlKKbTKlSKbRKlTK_VKfXKUZKa`KPbKWhIHeGJWDLLBNB8P16Q\ 6ARADREHSJKSNOTRRTVVU_YUcaVgdVlhWpkWtoXxrXwmVwhUwc\ TvZRtUQqPPoKOlFMlALl5Kl0Jm8WnFgoMsrQqsTptWouZntamu\ dlvhkvkjvnivqhvtgvwflmeccdVUcMKbDAbHCcKEdNFdQHeTIe\ WKfZMfbNgePghQhkShnUiqVitXjwYjo_ahaU`cLUeDWdFXcHYb\ JZaL_`M`_ObZQcYSdXTeWVfVXgUZhT_eRZbPY_OXXMWULVSJUP\ HTMGSJERGDQDBPBAPFCNIEMMFKPHJSIHWKGZLEbNDeOBhQAlR8\ oT7rU6qTAqSDqSGpRJpRMpQPoQSoPVoOZnOanNdnNgmMjmMmmL\ pmLsdKTfKShKQjKNlKNnJLpIIrGFtECuDAuM9uU8ua8uj7ur6u\ z6uvBurGunLukQugVuc_u_duXhsVjqTkoRlmPnkNojLphJqfHs\ dFtbDuaCv_FrZIoYLlWOiVRfUUbSX_R_XQbUOeRNhNMkKKnHJq\ EItBJuAKvALw9Mx9Ny9Oz8Pz8Qz8Rz7Sz7Tz7PzHzzQzzZzzgz\ zpzzyzzjzzgzzezzczzazz_zzYzzWzzUzzSzzQzzOzzMzzKzzI\ zzGzzPzzYzzazzdzz_zzVzzRzzMzzIzzDzz9zz4zz0zzNzzizz\ azzVzzNzzGzz8zz1zz9zzFzzF } 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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