January 2014 - Fractint - mailman.xmission.com

Re: [Fractint] Fractint Digest, Vol 131, Issue 10
by JackOfTradeZ＠comcast.net 27 Jan '14

27 Jan '14

. ""The changes between the slow morphing and the brief but rapid morphing, or the gentle color shifts and the "flashing" displays, or the somewhat predictable patterns and the chaotic "explosions", all of which make this an enjoyable video to watch"" That always happens with these and I can do nothing about it except hope it looks cool, and I never know that till the whole dang thing is finished! I have tried "zooming in and expanding" the rapid regions but I always get the same effect again - seems like traveling along a "Cantor line"; periods of relative stability alternating with chaos. The tune is "O Ecclesia", Hildegard Von Bingen, 12th century ...... As for projecting in front of an "acid band" at a club - that is/was the intent of many of my earlier animations, like Tetragoth and Octagoth. . On to the next one ....... JoTz .

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FOTD 27-01-14 (Jumping Jacks [No Rating])
by Jim Muth 27 Jan '14

27 Jan '14

FOTD -- January 27, 2014 (No Rating) Fractal visionaries and enthusiasts: Today's image is a blow-up of a small area of yesterday's image. Since it has nothing new in it, I gave it no rating, though if a rating were needed, a repeat of yesterday's rating would work fine. I named the image "Jumping Jacks" when I noticed the pale-blue figures that vaguely resemble an exercise class in progress. The HyperMandelbrot set is still so unfamiliar that I hesitate to say much about it at this early stage of investigation. But even today I am ready to admit that I am not sure the things in these Hypermandelbrot images are mathematically real or merely artifacts of mathematical imprecision. If they are artifacts however, they certainly are the most curious artifacts I have ever seen. The calculation time of 3-2/3 minutes is rather slow, but not excessively so. And relief is always available on the web sites. Calculation relief is available at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Lots of clouds, a few flurries of snow and a steadily falling temperature marked today here at Fractal Central. The tempera- ture fell from a morning high of freezing to a low of 23F -5C, at post time, with a low of zero-F or -18C expected tonight. The fractal cats spent the day hoping for more treats, and had little to say about the outdoor conditions. The fractal humans, both here at FC again, made it through the day uneventfully. The next FOTD will be posted very soon. Until very soon arrives, take care, and I hear that the U.S. is fighting the enemies of freedom. I guess these enemies are those people who hate freedom and would rather be slaves. But I still wonder how we can even imagine ourselves to be free when we have Big Brother . . . oops, I mean the NSA etc . . . watching our every move. (some exaggeration admitted) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Jumping_Jacks { ; time=0:03:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=t float=y center-mag=-0.7500088634104226/+0.0019900603185012\ /236544/1/-90.25/0 params=0/0/0/0/0.25/0/1e-100/0 maxiter=2250 inside=0 logmap=1540 periodicity=0 colors=000WFSXFSYFRZFR_FR`FRaFRbFQcFQdFQeFQfFQhFPi\ FPjFPkFPlFOmFOnFOoFOpFOqFNrFNsFNtFNvELuFNuGPuHRuIS\ uJUuKWuLXuMZuN`uOauPcuQeuRguShuTjuUluVmuWovWquWrtW\ rsWqrWoqWmpVloUmnUlmTklSjkShjRgiQfhQegPdfOceNbdNac\ M`bL_aLY`KX_JWZJVXIUVHTTHSRGRQFQPFPNCWL9bJ6iH4oI4n\ I4mJ5lK5jK5iL6hM6gM6eN6dO7cP7bP7`Q7_R8ZR8YS8WT9VT9\ UU9TV9RVAQWAPXAOi9WXANLBF4sO4rO4rN4rN4rN4qM4qM4qM0\ uN4qM8nLCkKFgKJdJNaIQYIUVHYSG`OGdLFhIEkEEoBDs8Cv5C\ cUDNpBMqDMqEMqFLrGLrHLrILsJKsKKsLKtMJtOJtPZgaUhcPi\ eLigMheNhdOgcPgbQfaRf`Se_TeZUdYVdXWcVXcUYbTZbS_aR`\ aQa`Pb`Oc_Nd_MeZKfZJgYIhYHiXGjXFkWElWDmVCnVBq`5oY8\ nVAmSCkP8lQElRJlRPlSUlSZmTdmUimUomVtmVyjXxhYxeZwc_\ w``wZbvWcvUdvSeuPfuNhtKitIjtFksDlsCowBnuBmsAmrL7tO\ 6rS6pV5nZ4ma4ke3ih3gl2fo1ds1bv0`y0_AAgAFiAYkAhl9km\ 8lo7mq7ns6ou6pw5qw4rw5smFtcKuUPvKXwIaxGhyMzz0zz0zK\ mzKzzKzz00z00z00z00z00z00 } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 26-01-14 (Hyperseahorses [A-6,M-9])
by Jim Muth 27 Jan '14

27 Jan '14

FOTD -- January 26, 2014 (Rating A-6,M-9) Fractal visionaries and enthusiasts: As far as I know, the four-dimensional HyperMandelbrot set is virtually unexplored, so with today's image I have decided that it's time to do some exploration. To begin the investigation we see what trouble we can get into in the Seahorse Valley area of the hyper-M-set. As the coordinates show, today's scene is located deep in the north branch of the valley. I named the image "Hyperseahorses" because of its location in its parent fractal. The diagonal shaft is the actual north branch of the valley, which is oriented so that north points to the lower right. The main shaft of the quadratic valley is apparent enough, but all the other stuff is part of the hyper-M-set. I see almost nothing in the image that even vaguely resembles a seahorse. What I do see is a medley of features that have little resemblance to the features of the classic M-set. It will take quite a bit of experimenting to make sense of the things in this image and images to come, but being curious, I'll certainly give it a try. The art rates a 6. I see nothing very artistic in the image. The math however rates a 9, since I'm sure to find a lot of interesting quirks in this area. The image calculates in 3 minutes on the average SOTA machine that does not crash when it senses the presence of a DOS program. The web sites can bail out these machines that panic when DOS appears. To avoid all cumbersome calculation, check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Except for a period of light snow in the afternoon, today was partly cloudy and chilly, but pleasant enough, with a high temperature of 21F -6C. The fractal cats had a lazy day -- typical for a ten-year-old cat but unusual for a five-month-old kitten. I had a lazy day to myself, while FL spent the week-end visiting with old friends back in Baltimore. The next FOTD will probably be posted in one day. If it is not, then it will appear in two days. Until it does appear, take care, and who is really running the world. Is it the world's governments, the big corporate conglomerations, or could it be the aliens from Sirius C? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Hyperseahorses { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=t float=y center-mag=-0.7500079994/+0.0019964869/37374/1/\ -122.5/0 params=0/0/0/0/0.25/0/1e-100/0 maxiter=2250 inside=0 logmap=1540 periodicity=0 colors=000WFSXFSYFRZFR_FR`FRaFRbFQcFQdFQeFQfFQhFPi\ FPjFPkFPlFOmFOnFOoFOpFOqFNrFNsFNtFNvELuFNuGPuHRuIS\ uJUuKWuLXuMZuN`uOauPcuQeuRguShuTjuUluVmuWovWquWrtW\ rsWqrWoqWmpVloUmnUlmTklSjkShjRgiQfhQegPdfOceNbdNac\ M`bL_aLY`KX_JWZJVXIUVHTTHSRGRQFQPFPNCWL9bJ6iH4oI4n\ I4mJ5lK5jK5iL6hM6gM6eN6dO7cP7bP7`Q7_R8ZR8YS8WT9VT9\ UU9TV9RVAQWAPXAOi9WXANLBF4sO4rO4rN4rN4rN4qM4qM4qM0\ uN4qM8nLCkKFgKJdJNaIQYIUVHYSG`OGdLFhIEkEEoBDs8Cv5C\ cUDNpBMqDMqEMqFLrGLrHLrILsJKsKKsLKtMJtOJtPZgaUhcPi\ eLigMheNhdOgcPgbQfaRf`Se_TeZUdYVdXWcVXcUYbTZbS_aR`\ aQa`Pb`Oc_Nd_MeZKfZJgYIhYHiXGjXFkWElWDmVCnVBq`5oY8\ nVAmSCkP8lQElRJlRPlSUlSZmTdmUimUomVtmVyjXxhYxeZwc_\ w``wZbvWcvUdvSeuPfuNhtKitIjtFksDlsCowBnuBmsAmrL7tO\ 6rS6pV5nZ4ma4ke3ih3gl2fo1ds1bv0`y0_AAaAFcAYeAhg9ki\ 8lf7mc7n`6oY6pV5qS4AP5AVFKJKkGPoHUwIaxGkyMpzUzzczz\ mzzzzzzzzzzzzzzzzzzzzzzzz } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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Animation of FOTD 12/12/13
by John Wilson 25 Jan '14

25 Jan '14

Truly remarkable in a number of ways. Thank you JOT. John W.

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FOTD 24-01-14 (Hyper-Mandel Scene [A-7,M-9])
by Jim Muth 25 Jan '14

25 Jan '14

FOTD -- January 24, 2014 (Rating A-7,M-9) Fractal visionaries and enthusiasts: Today's image lies deep inside a minibrot in Scepter Valley the Hypermandelbrot set, in an area that should be a total blank. I named it "Hyper-Mandel Scene" for obvious reasons. Do not ask me what the image shows or how the math works. None of it makes any sense. But the image certainly is real and it looks pretty good for something that makes no sense. The number of elements in the features circling the center increases in increments of two as we dive deeper into the bottomless center of the enclosing minibrot. But why does the number not redouble at every step? And if the number of elements reflects the periodicity of the area of the M-set in which it lies, why does the number not stay the same as we look deeper? There are obviously some big questions to be answered about the things done by the HyperMandelbrot2 formula, so I'll probably be investigating the 4-D hypermandelbrot set for quite a while. In fact, the next virtually impossible wonder will appear as the next FOTD. As I see it, the art aspect of today's image is worth a 7, while the math aspect remains at quite a high level, which today is a rating of 9. The calculation time of today's image is 5-1/3 minutes, on the slow side indeed. This slowness is largely caused by the need to turn off the periodicity when using the HyperMandelbrot2 formula. But all is not lost, for the web sites are always there to bring near instant relief. Satisfy your desire for instant fractals by visiting the web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Today brought lots of sun to Fractal Central, but the morning low temperature of +3F -16C and paltry afternoon high of 19F -7C made the sun pretty much ineffective at bringing outdoor comfort. The fractal cats however had a pleasant day indoors, enjoying and sharing the sun on their shelf. The humans made out as best they could. The next FOTD will be posted in due time. Until whenever that might be, take care, and think about what the 'news' media is really doing with our emotions when it says things like 'should you be worried about....' Jim (it has me worried) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Hyper-Mandel_Scene { ; time=0:05:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 center-mag=-1.2508739\ 37260226/+0.02375785984786841/2.980496e+009/1/-147\ /0 params=0/0/0/0/0.25/0/1e-100/0 float=y maxiter=3000 inside=0 periodicity=0 colors=000UT`YSaaQbeOciNdgQbfS`eUZdWXcYVa_T`aR_dPZ\ fNYhLWjJVlHUnFTpDSrCOmEKiGGeIC`K8XM4TO1PP6RNBSLGUJ\ LVHQXFVYD__Bd`AeaDebGebJecLfcOfdRfcYfcegepgezgfzgi\ zhmzhpzhtzhvzfwzdrzbmz`mzZcqXWmVUcTSUVTMXVJZWJ`YKb\ ZKd_LfaLhbMjdMleNngNphOqiOrjLrjJsjHsjFtjDtkAuk8uk6\ vk400000000000000000000000000000000000000000000000\ 01002003004005106327538848B5BF6FJ7KN8PRAVUB`ZCfbDk\ fEpiKrlUzpczsmzvzzzzzzzzzzzzzmzzczzUozMozLnDKnEInF\ HnG7Jf9NbAR_BVXCZUDbQEfNFjKTEuSHrRJpQLmPNkPPhOSfNU\ dMWaMY_L_XKaVJdTJfQIhOHjLGlJ0kk2lh3le4lc6l`7mZ8mWA\ nTDnRGoOJoMMpKPpNSqQVqTYrW`rZdscgthiumkvrmwvoxzqyz\ tzzwzz8SU9VSAYQB`PCcNDfLEiKFlIAsWBrUCqSCqRDpPEpNEo\ MFoKGnIqa4jd7df9ZhBSjDMlF7Od9S`AWYB_UDcREgNFkKyGCv\ JDsLDpNDmPEjREgUEdWFbYF__FXaGUdGRfGOhHLjHIlHfbradk\ cmemz_zzTzzNzzFzzGmAGcAGUAGLKGKUGKZGJaHJcHIeHIgHHi\ HHkHGmHKrOIpKia1gb3ec4cd5 } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 23-01-14 (The Greatest Mystery [A-8,M-10])
by Jim Muth 24 Jan '14

24 Jan '14

FOTD -- January 23, 2014 (Rating A-8,M-10) Fractal visionaries and enthusiasts: The math rating of today's image is a full-blown 10. And the image is fully worth it. The arms filling the central minibrot are the greatest mystery I have yet discovered in my 27 or so years of fractal exploration. The parent fractal is the everyday 4-dimensional Hypermandelbrot set, which is simply 2 overlapping classic M-sets, so these arms have no right to be there. The mystery is why the infinitesimal value of the real(p4) parameter would have such a great effect on certain fractals. The name "The Greatest Mystery" simply states the situation as it is. The art value of an 8 is largely due to my coloring efforts. I have been putting more work into the FOTD's since we began phasing out the graphic design work here at FC a year or so ago, and as the phase-out continues, the FOTD's will get only better. And wait until one of the business machines is switched to a dedicated high-speed fractal unit. The calculation time of 3 minutes is about average, but average can always be improved upon. So for an improvement, check the FOTD web sites. The already calculated image is posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The temperature rose from a morning low of -2F -19C here at Fractal Central to a near tropical afternoon high of 19F -7C, with a few snow flurries thrown in to add interest. The fractal cats showed little interest in the off-and-on sun however, and soon took up cozy residence on their favorite chairs, which happen to also be my favorite chairs. The fractal people were also snug and cozy, but this is because the heating bills have not yet arrived. The next FOTD will be posted in a day or two, or maybe three. Until whenever, take care, and how many can see that we are being kicked around emotionally by the media like a bull with a ring in its nose? BTW, all those who feel too much anxiety because of all the doomsday shows on TV should distract themselves from their worries by buying and using the sponsor's products. (BTW, just wait until big govermnent or big corporations begin controlling and censoring the internet.) Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= TheGreatestMystery { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 center-mag=-0.75633334435/+0.06435853132/3.47e+007\ /1/75/0 params=0/0/0/0/0.5/0/1e-150/0 float=y maxiter=1625 inside=0 logmap=-668 periodicity=0 colors=00000D00F00H00J00L00N00P00R00S00U00W00Y00_0\ 0a00b00c00c00c00d00e00d00c10b20a30`40_50Z60Y70X80W\ 90VA0UB1TC2TD3TE4RF5PG6OH7MI8KJ9JKAHLBFMCDNDBOE9PF\ 7PF5OG4OH4NI3NJ2MK2ML1LM0LN0NO4PP8RQBTRFVSIXTMZUP_\ WTaZXc`_eccgefihjkjmmmqnotmqhloYjmJgkNdiRagVZeZYcb\ XafV_jUYkTWlQUmSSmTQmUOmVMmXKmYImZGm_Gh`GcbIWcIUdH\ UeGUgFUeEUcDUaCU_BUYAUW9UU8US7UQ6PO5KQ4FS3AU28W16Y\ 04_02a00c00c00Z80Q71I42C03A04A05406307208206104103\ 20530740840A50B61D70E70G80H90J90KA0MB0NC0PC0QD0SE0\ TE0VF0WG0YH0ZH0`I1aJ2cJ3dK4cL4cM4cM4cN4cO4cO4cP3cQ\ 3cQ3cR3bS3bT3bT3bU3bV2bV2bW2bX2bX2bY2aZ2a_1a_1a`1a\ a1aa1ab1ac1ac1aZ5YV9VRDSNHPJLMFPNBTUBTcCTmCTvDTzDT\ zDTzETzETzFTzFTzFTzGTzGTzHTzHTzHTzITzITzJTzKTvLTqN\ TmOTjQTgRTeSTbUS_VSXXSUYSSZSP`SMaSJcRGcTGbVFbYEa_H\ aaKabPbcUcdZceccfhegmghriivmmzrrzsszuuzvvzwwzxxzyy\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 22-01-14 (In a HyperMinibrot [A-7,M-7])
by Jim Muth 23 Jan '14

23 Jan '14

FOTD -- January 22, 2014 (Rating A-7,M-9) Fractal visionaries and enthusiasts: Today's image shows a scene deep inside a hyperminibrot located on the north shore of East Valley of the HyperMandelbrot set. The image rates a 7 both for its art and its math interest. Since the scene lies inside a minibrot and minibrots are supposed to be empty inside, the math might have rated as much as a 9 if I had not used this trick several times before. The name "In a HyperMinibrot" simply gives the location of the scene. The calculation time of 1-1/2 minutes is already pretty fast, but even more time may be saved by visiting the web sites. Check the completed image at the following sites: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Under a brilliant sun, the temperature rose from a morning low here at Fractal Central of -2F -19C to a balmy afternoon high of 14F -10C, which kept the fractal cats near the heat radiators and the fractal humans near the hot coffee. The next FOTD will be posted before too long. Until whenever, take care, and why don't we end poverty once and for all by giving the poor people enough money to raise them to the middle class? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= In_a_HyperMinibrot { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 float=y maxiter=4200 center-mag=+0.2689640429736178/+0.0054866527972909\ /8.939192e+011/1/105/0 params=0/0/0/0/1/0/1e-100/0 inside=0 logmap=711 periodicity=0 mathtolerance=/1 colors=00000H00I00K00M00O00Q00S00UZCz_Ev`Gs`Ip`Mm`\ Qj`Ug`Zeccdhhcmmcqrhtvmzzz0065CAAJDKUGPcJYqNhzQozT\ wzW`csadrbdqcdpceocencemcflcflcfkmg0rg0zm0zq0zz0zz\ 0giefideicdjbcjabj`ak_`kZZLh_Og_Qf_Te_Vd_Yc`_b`ba`\ d``g_`iZaV9`_G`cM`gTopVloWjnXhmXfmYdlYbkZT6QU8RUAR\ UCSVDSVFSVHTWITWKTWMUXNUXPUXRVYSVYUWYWWZXWZZXZ`X_a\ X_cY_eY`fY`hZ`jZyX5xY6wY7vZ8uZ9u_At_Bs`Cr`DqaEqaFp\ bGobHncIncJmdKldKkdLjeMjeNifOhfPggQggRfhSehTdiUciV\ cjWbjXakY`kZMyuNxsOwrPvqQvpQunRtmSslTskUrjUqhVpgWp\ fXoeYndYmbZma_l``k_Ir`Kq_Lq_Np_Op_Po_Ro_Sn_TnZVmZW\ mZXlZZlZ_kZN3HO6JP9KQCLRFMSINTLPUOQVRRWUSXXTY_VZbW\ _eX`hY71n94mB7lDAkFDjGFiIIhKLgMOfNQePTdRWcTZbU`aWc\ `Yf__iZDYpFZoG_nH_mI`lJakKak`8_e9ci9fhFdhKcgPagU`f\ Z_fcYehXemWdlXdlXclX_kZclXclYblYblYbkYakYakZakZ`kZ\ `kZ64_76Z87Z99ZAAZBBZCDZDEZEFZFHZGIZHKZILZJMZKOZLP\ ZMQZNSZOTZPVZQWZRXZSZZT_Z } frm:HyperMandelbrot2 {; periodicity must be turned off a=(p1),b=(p2): q=sqr(a)-sqr(b)+pixel, b=(p3+2)*a*b+p4, a=q, |a|+|b| <= 100 } END PARAMETER FILE=========================================

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FOTD 21-01-14 (The 33rd Degree [A-7,M-5])
by Jim Muth 21 Jan '14

21 Jan '14

FOTD -- January 21, 2014 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Today's scene lies in an area of anti-bifurcation in a half- morphed minibrot on a filament in the East Valley of a larger minibrot on a filament extending from a small period-7 bud on the northeast shore line of the parent fractal, which is a Mandelbrot set corrupted by Z^33 energies. The magnitude of the image is well beyond the point where the corruption of the minibrots is complete, though quadratic tendencies still exist in the outer parts of the scene. I named the image "The 33rd Degree" because of the Z^33 energies flowing through it. The art value of 7 was earned by the coloring work. The math value of 5 is average. We have been here quite a few times before. The calculation time of 2-3/4 minutes might be a bit too much time to spend on the image. Viewing the image instantly on the web sites can help the situation however. Save calculation effort by viewing the finished image at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began cloudy. Light snow began at 8am and turned heavy by 11am. It continued heavy until 2pm, when it came to a sudden stop, leaving a total accumulation of 4-1/2 inches or 11cm on the fractal sidewalk. With a temperature of 16F -9C, the snow was so fluffy that it could be cleared away with a broom. The fractal cats, always curious, wondered what all the stuff falling from the sky was about. The fractal humans had another typical day, the biggest chores being clearing snow and making coffee. The next FOTD will be posted in the near future. Until whenever that might be, take care, and when we get to heaven, how long will we be able to endure its eternal bliss without becoming unbearingly bored? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_33rd_Degree { ; time=0:02:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=+0.12502420421873890/+0.657943753942939\ 80/9.467e+012/1/40/0 params=33/1e+100/0/0 float=y maxiter=10800 inside=0 logmap=244 periodicity=6 mathtolerance=0.05/1 colors=000A08A08A08A08A08A19A29A39A49A5AA6AA7BA8BA\ 9CAACABDACEADGAEHAFJAGKAHMAINAJOAKQAMRANTAOUAQW8RX\ 6SY9Q_CO`FNbILcLJeOIfRGhUEiXDk_BlcAmdEneIngMoiQolT\ ppXpr`qudqwfrygrvhptgnrglpfkmdikcgibfgadd_bbZa`Y_Z\ XYWVXUUVSTTQSSNTRMUQOVPQWOSXNUYMW_LYaK_cJaeIcgQZhX\ YiZYjZZkU_kR`iSajSbkSclTemTgnTioUkpUmqUmrVmsVmtZwu\ cwvhwwmwxrwyvwzzvyzqxzmwzmvzmuvcurctmcshcrcmrZmrUm\ sPmsKmsKmsJmtImtIctHctHcuGcuFcsFcqEUoEUmABj77g34c0\ AZ3GU6LU8RUBWUDaUGgUJlULrUOwUQrUUmUYhUac`AZZAURAPK\ AAAmAAcAAUGAKNFATFAZFAbJAfMAiRAmUAqUAtU3mZ5gb7`g9V\ kATh9Ue8Vb8W_7XX7YU6cR5mO5wL4zI4zF3zCczAcz9cz8mz7m\ z8zz9zzAzzBzzCzzDzzDzzEzzFzzGzzKzmcmqcmtcmqcmocclc\ cjccgccecUbcU`cUYcJWcKTcLRcLOcMMcMKcNJcNHcOGcOEcPD\ cPBcQAcQ8cR7cR5cS4cS2cT1cT0cTDzPQzLazIbzHczGdzFezE\ izRkzTmzVozXpzZqzaqzdqzgrzjrzlrzoszrszuszxszzqztoz\ omzikzdjz_jz`jz`jz`jz`jza } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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FOTD 20-01-14 (The Cubic Minute [A-8,M-6])
by Jim Muth 20 Jan '14

20 Jan '14

FOTD -- January 20, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's scene, which is of an extremely large magnitude, lies in a small valley inside a cubic bud on the positive X-axis at the eastern extremity of its parent fractal. This parent came about when I infected a Mandelbrot set with cubic energies, but added much less antibiotic than usual. In the FinDivBrot-2 formula the value of the real(p1) parameter determines the order of the energy infecting the basic M-set. The imag(p1) parameter works almost like a flu shot. Its absolute value determines the resistance of the M-set to the infecting energy. Today's value of negative 3 gives very little protection. I named the image "The Cubic Minute" because the scene is obviously of a cubic nature and also calculates in close to a minute. The art rating of an 8 reflects the extra time I spent on the coloring. I leave it to the individual viewer to decide if the effort was successful. The math value of a 6 is close to average, since there is really nothing new in the math aspect. The image calculates in a minute on the average machine. The time required to check the finished image on the web sites is about the same. Check the pre-calculated images at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Heavy clouds hung over Fractal Central all day, but the high temperature of 37F +3C kept things reasonably comfortable. With snow and severe cold on the way however, I can't say how long the marginal comfort will continue. The fractal cats spent some time chasing each other up and down the hallway, and the rest of the time asking for food and sleeping, while the fractal humans passed the time doing what all good fractal humans do. Unless something unforeseen happens, the next FOTD fractal will be posted in 24 hours. Until then, take care, and if our western hi-tech way of living is as great as many seem to take for granted, why do we have such a problem with the mind- altering drugs that serve only as a way of coping with the stresses of hi-tech reality? Jim (what would we go back to?) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Cubic_Minute { ; time=0:01:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=t center-mag=+0.2749544457144045/-0.0000065299050924\ /1.16285e+013/1/-178.75/0 params=3/-3/0/0 float=y maxiter=750 inside=0 logmap=133 periodicity=6 mathtolerance=0.05/1 colors=00000A00F00K00P00U00Z05c0AhAFiKKlUPocZqmjmv\ mizqfzzczzmzvzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzu\ zrszoqNmoPjnRhlTejVbiX`gZYe`WdIfc0pc2qZ4rU6sP8tLAu\ GCvBEz6Gr2Ep7DmBBjFAfJ8cV7_Z5V`4Oe2Kc1Hg0Gf0Fe0Ed0\ Dc0Ca0AZ08U06P04K02F00A0050000000000000000003iU4jU\ 5jU5kU6kU6lU7lU7lU8mU9mU9nUAnUAoUBoUBoULpTVpTdpSmp\ SzmVz0XzUzzCZzUzz0_zM_zUmzU`zcaz_bzbbzecziczldzodz\ nazm_zlYzkWzjUzjSziQzhOzgMtfKxfIsgLogOjhRfhUbhXYi_\ UibQieLjhHjkDjn8kq4kt0kw1gt2dr2ap3Zn3Wl4Tj5Ph5Mf6J\ d6Gb7D`7AZL8eZ7lk6rlBslGsmLsmQsgSobUkXWhSXdMZ`H`YB\ bU6cR9bUCaXF`ZI_aLZcOYfRXhUWkXVn_UpbTseSuhRxkQzjPy\ jOyjNyiNxiMxiUxhUwhUwhUwhJwgUrgUnfUjfmffmbemZemUdm\ QKmMKmIKoEKmALm6MmANmEOmIPmMQmQRmUUzYUzaUzecziczmh\ zqhzumzymznmzdnzVpzWrzWtzWvzXxzXyzXzzCzzBzzBzzBzzB\ zzBzzBzzBzzEzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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FOTD 19-01-14 (Twelve_Out,_Ten_In [A-6,M-7])
by Jim Muth 20 Jan '14

20 Jan '14

FOTD -- January 19, 2014 (Rating A-6,M-7) Fractal visionaries and enthusiasts: Today's image shows a minibrot in a parent Mandelbrot set corrupted in its depths by Z^(11.5) energies. The location is near a larger order-11.5 minibrot in the East Valley area of the very large quadratic minibrot on the main spike of the parent M-set. The name "Twelve Out, Ten In" refers to the sequence of elements surrounding the order-11.5 minibrot at the center, which holds ten large lobes around the edge of the main bay but twelve elements just beyond. (Actually, the numbers are 10.5 and 11.5, but this takes most of the fun out of the calculation.) The art rating of a 6 shows that the image has moderate art worth. The higher math rating of a 7 refers to the curious cycle of numbers of elements mentioned above. The calculation time of just over 1 minute will pass in a Flash. Those who think Superman is faster can prove themselves right by visiting one of the FOTD web sites. Enjoy the fast easy life by checking the finished image at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day here at Fractal Central began with light snow, which ended by midday after leaving a paltry 1cm of new snow. The sun appeared by early afternoon, raising the temperature to a relatively mild 34F +1C and melting the snow on the sidewalks. The fractal cats noticed the fresh catprints in the snow, but saw no sign of whatever cat had left the prints. The fractal humans passed the day taking it easy, thankful that the snow went away without human intervention. The next FOTD will be posted in a number of hours. Until the number becomes better defined, take care, and let's solve the economic problems by giving everything to everybody. We can always blame the other side when we run out of everything. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Twelve_Out,_Ten_In { ; time=0:01:10.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=-1.745315553464152/+0.00000005410701865\ /2.563699e+009/1/-22.5/0 params=11.5/1e+020/0/0 maxiter=800 inside=0 logmap=112 periodicity=6 colors=000VAcWBcXCcYDcZEc_Fc`GcaHcbIccJcdKceLcfMcg\ NchOdhOdgNfeLbbK_aIX_HUYFQXENWCKVBHU9DT8AS67P54K41\ G0870F70L70S7AY6K`5Ub7_ZAVVIQRQLNUPHZUJ`UUcUUcUUcV\ UcWUcXUcYUcZUc_Uc`UcaUcbUcjUcpUczUcuUcjUcaWcX_hRbn\ AefUKpOFzzcxUAmOAcVAho2bf5XZ8RRBLJEgszajpWagRTYLKP\ cICYGDSEEMCFVIaMFWNHRHELI8UH9XH9UHARG4OG0L0A040070\ 0A00D00a9PUAMNBJ0je3d`6ZX8TTBNOEHKdqV`jSXdQUZOQTMN\ NKJHIu0do2`i4Xc5UY7QS8NMAJHYWGUTGRRGOPGKMGHKGEI6PQ\ AKMDFJs22m44g56a68X8AR9CLAEktWgnUchS_bQWYOSSMOMKKG\ IccjccfccbccZccVccRccNccJsUleUaTURdUR`ZPYZOVZMSZLP\ ZKMZIJZHJc9tsMmpLfiK_aJTVIMSHxCJlDIaZHRZGcZUYZQSZN\ MZJ8ZgCZUju1fo3bj5Ze7V`9RVBNQDJLFxPcrPclPcgPcaPcWP\ cRPcLPcoZcfZcYZcPZczZcbZcpZcfZcYccPccsccmccgccaccX\ ccRccLccumclmmdmmWmmOmmDmzAmzCzzDzzFzzUzzPzzKzzjzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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