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FOTD 18-05-14 (Three-Cornered Fractal [A-6,M-5])
by Jim Muth 18 May '14

18 May '14

FOTD -- May 18, 2014 (Rating A-6,M-5) Fractal visionaries and enthusiasts: Today's image lies on the main spike of the same parent fractal that held yesterday's FOTD image. I named it "Three-Cornered Fractal" because at its magnitude of over 2*(10^11) it is of a totally cubic nature. The maxiter of 2750 is too low to fully resolve the minibrot at the center. A maxiter of around 3600 would be needed to bring full resolution, but it would also change the coloring, so I let the image keep its too-low maxiter of 2750. With nothing really spectacular in the image and no new math involved, I could only give it an art rating of an acceptable 6 and a math rating of an average 5. The calculation time of 2 minutes will cause little impatience. It's about the same time required to view the image on the web sites. 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> Today turned out to be too cloudy and chilly for the middle of May here at Fractal Central. The fractal cats checked the afternoon temperature, and when they found it to be only 61F 16C, decided to ask for food. The humans took it easy while they continued to wonder why so many trivial events become big un-exciting news. The next FOTD will be posted in the proper time. Until then, take care, and I heard on a recent TV show about the Higgs boson that a fractal structure might lie behind the so-called *elementary* particles, such as quarks and electrons, which of course are not *particles* at all. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= 3-Cornered_Fractal { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip logmap=620 center-mag=-1.706936322542472/0/2.388209e+011/1/180 params=3/3/0/0 float=y maxiter=2750 inside=0 symmetry=xaxis periodicity=6 mathtolerance=0.05/1 colors=000AAWAAV9AU8AT7AS69R58Q47P36O25N14M03L02J0\ 1H00E00C009005000020890JIUWQcgmztzzzzzzzzzuzzpzzlm\ zgczbUzZLzUDzOBzL8zG6zB3z82zD0zI0wN0pS0iX0bb0Wg0wz\ lwzjwzgwzewzbwz0wz0wzIwzywzuwzrwznwzjzzgzzczzczzbz\ zbzz`zz`zzgzAzAAYAAXOj0Ip0Bu05z00z00z00z00z00z00z0\ 3z0Bz0Iz0Qz3Zz8gzDpzIwzLizUWwbIpj5it0bz3jzDrz9ly8i\ t6en5`i3Xc2UZ0QU0LO0IJ0EE0B90650300000000200605909\ E0GI0NN2SQ3BOQ0Nn0Nz0Qz0Up0We0ZW0`N0cD0g30i00l00n0\ 9l0Jj0Ui0cg0ne0yc5zb9zbDzeIziLzjOznSzrWztZzwbzzezz\ izzlzzp00z26z6EwBLrGUjLbeQi`Zpeguinzlwzzzzzzwzzszq\ ozlkgegcWcXMSSGIN9CI29D0980D90OB0WD0aE2dI8fLEiNLjQ\ SlSUmWXnX`o`cqbgtemzgrzmszzzzzcZzwEzcAlXSUbQWiOXy0\ Lr0Ol0Qg6UbGWXQZz08n8N5ziDzeLjbt00l50gD2bJDXSO6Wg9\ eeD0cGXcJZbNZbQZ`0wbNzSOwWwnXSmZgz0cz0bz0zzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzezzezzezzzzzzzzezzzz\ 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 16-05-14 (Bud Menagerie [A-4,M-8])
by Jim Muth 16 May '14

16 May '14

FOTD -- May 16, 2014 (Rating A-4,M-8) Fractal visionaries and enthusiasts: With its rating of a 4, the art aspect of today's image makes little impact, but its math rating of an 8 gives near full compensation. The image shows perhaps the most convoluted bud I have yet come upon. This bud appears to have cubic tendencies in much of its nooks and crannies, while other areas appear almost quadratic. The name "Bud Menagerie" refers to this zigzagging bud. The parent fractal is a classic Mandelbrot set caught morphing into a cubic Mandeloid. The most obvious feature is Seahorse Valley, which has joined its two branches into a kind of narrow bridge with a large diamond shaped area of chaos at the center. Today's image lies within this diamond. In addition, the main stem of the parent has spread out into a broad area of intricate detail, with several large minibrots centered along the ill-defined negative X-axis. I may check these minibrots in a future FOTD. The image calculates in a measly 1-1/2 minutes, so seeing its glories will demand little sacrifice. Checking the image on the web sites will remove any remaining sacrifice. The finished 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> Heavy overnight rain ended by late morning here at Fractal Central today, followed by a cloudy afternoon with a temperature of 64F 18C. The fractal cats approved of the temperature but were disappointed by the lack of sun. The fractal humans simply made it through the day without a notable event happening. The next FOTD will be posted in two days on May 18. Until then, take care, and the only sure way to end racism is to stop giving it so much attention in the media. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Bud_Menagerie { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=t center-mag=-0.24168893/+0.00468962/1052/1/92.5/0 params=3/3/0/0 float=y maxiter=3600 inside=0 logmap=14 periodicity=6 colors=000`00Y00V00S00P00N00K02H02F02C049047074272\ 770B97GX9KXBOXBOXDIrDKrGMrGOrGGzIIzIKzIMzKRzKTzMVz\ MXzMZzOazOczOezIxz4zzBzzIzzOtzVkzaezgZznRztKzzDzz4\ zz0zz0zz0zz0zz0zz0zz0zz0zz0zz0zz7zzDzzKzzOzvVztazp\ gzkkzgrzcxzZzzVzzRzzMzzIzzBzzGzzIzzMzzOzzTzzVzzZzz\ azzezzgzzkxznvzrrztpzxkzzjzzezzgzzczzazzXzzVzvRxtO\ trMrrInrGkrBgr9er4ar2Zr0Vr0Tr0Or0Mr0Ir0Gr0Kr0Or0Tr\ 0Xr0ar0et0jz0kz0pz0tz0xz0zz0zz0zz0zz0zz0zz0zzBzzMz\ zVzzczxeznrzerzVrxKrpBrg0rZ0rR0rK0rI0rG0rD0rD0rB4r\ 99r7Dr7Ir4Mr2Tr0Xr0ar0er0jr0nr0tr0xr0zr0zr0zr0zr0z\ t0zv0zx0zz0zz0zzBzzjzzezzazzXzzTzzOzzKzzGzzBzz7zz2\ zz0zz0zz7zzGzzOzzZzzgzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ 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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FOTD 15-05-14 (Encore [A-8,M-7])
by Jim Muth 15 May '14

15 May '14

FOTD -- May 15, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's image is a near repeat of an earlier FOTD image, which is why I named it "Encore". The rather unusual parent fractal resembles a Mandelbrot set being squashed inside a shrinking ring. Today's scene lies in the spurious detail that fills East Valley of this M-set. The effect of a minibrot illuminating its surroundings was achieved by coloring the 'inside' brilliant white and rendering the scene with the 'outside' set to 'fmod'. The calculation time of 50 seconds is quite fast, leaving little time to ponder the fractal mysteries. Checking the web sites will be equally fast, leaving the mysteries unsolved. So check the finished image at: <http://www.crosscanpuzzles.com/Archives.html> and the glorious variations at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> and forget the mysteries. Heavy clouds prevailed here at Fractal Central today, but it remained dry, while a few breaks of sun kept the fractal cats from feeling too glum. The temperature of 79F 26C brought few complaints from either the cats or humans. The next FOTD will be posted in the near future. Until then, take care, and if we really wanted to fight climate change, we would stop pushing meaningless politically-driven steps that could do nothing more than make us feel better while the planet continues to grow hotter. If we were really serious, which we apparently are not, we would abandon the use of motor vehicles and airplanes powered by energy derived from fossil fuels, and drastically curb the use of electricity to power our homes and factories until the time comes (if ever) when we can generate reliable power from nuclear fusion. If we cry that these steps would be too harsh and would wreck the economy, as they probably would, then let's suck it up, pack away our protest signs, admit defeat and prepare for the immense problems soon to come. Wind and solar energy will never come close to replacing coal, oil and natural gas. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Encore { ; time=0:00:50.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=+0.2774982732/0/554762 params=-100/-100\ /-14.75/0 maxiter=3600 inside=255 proximity=0.08 outside=fmod symmetry=xaxis periodicity=6 colors=000HOPHOPHPPHPOHQOHROHROHSNHSNHTNMLSMLSLMRL\ MRLMRKMQKNQKNQKNPJNPJOOJOOJOOIONIONIPNIPMHPMHPLHPL\ zzzzzzzzzzzzzzzyzzwzzuzzszvrzrqzmpzhozcmyZkxViwRgv\ RfvReuSduSctSbtTasT`sT_rUZrUYqUXqVWpVVpVUoVUoWUnWU\ mWUmXUlXUlXUkYVkYVjYVjZViZViZVhZVh_Vg_Wg_Wf`Wf`We`\ WeaWdaWcaWcbXbbXbbXabXacX`cX`cX_cX_cYZcYZcYYcYYcYX\ cYXcYXcYWcYXcXXbXX_WXZWXYVXXVWWUWVUWUTWTTWSSWRSWQR\ VPRVOQVNQVMQVLRVKSUKTUKUUKUUKUUKUUKUUKVUKVUKUUKUUK\ UUKUUKUUKTUKTULTUMTVNTVOSWPSWPSXQSYRSYSRZTRZUR_VR_\ VR`WQ`XQaYQbZQb_Qc`PcaPdaPdbPecPedOfeOgfOggOhgOhhN\ iiNijNjkNjlNkmMlnLjmKglJdkIbjH_iGXgFVfESeCPdBMcAKb\ 9H`8E_7DZ6CY5BX3AW59V58U57U66T66S06R06Q06O06N06M06\ L06K06J06I06H06G05F04E03D02C01B00A0090080070060050\ 04003002001000000000000000000000000000000000000000\ 00000000000000000000000000000000000000000000000000\ 0000000000000000000000rzz } 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 13-05-14 (Maximum Festivity [A-7,M-7])
by Jim Muth 13 May '14

13 May '14

FOTD -- May 13, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image came about when I combined negative (1/Z) with negative (Z) and added (1/C) on each iteration. This expression has two critical values, +2 and zero. Both critical values produce similar fractals, which are oriented 180 degrees apart. Both parent fractals resemble the east parts of Mandelbrot sets with the main bud and spike cut off by flat disks. Today's scene lies in the chaos along the northern edge of the parent that results when Z is initialized to the critical value of zero by setting real(p4) to -2. I named the image "Maximum Festivity" because of the riot of overly brilliant colors, which were mostly produced by rendering the image with the 'outside' set to 'tdis'. In fact, these garish colors hold down the art rating to an unexceptional 7. The math rates a 7 also, mostly because of the non-zero setting of the real(p4) parameter. The image takes a solid 2-1/2 minutes to finish, not so bad as fractals go, but even more time can be saved by checking the web sites. The finished image is online 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 a mix of clouds and sun, and a temperature of 90F 32C, to Fractal Central. The fractal cats thought it was a little too warm for comfort, while the fractal humans thought it was just right. The next FOTD will be posted in a day or two, or possibly three. Until the next FOTD appears, take care, and don't be misled by conservative deniers of climate change, (aka global warming). The world-wide weather records show that it is a fact. And at the same time don't get caught up in the progressive frenzy to pass new legislation in the name of fighting climate change. Since the climate doesn't obey man-made laws, passing new laws would amount to nothing more than feeling good while satisfying various political and economic agendas. With our current lack of technology, hedonistic life style, and so many nations developing, there is nothing we would be willing or able to do that would stop or even slow the warm-up. It would be far better not to economically cripple ourselves and to use our resources to prepare for the challenges of the warmer planet to come. Jim (Captain Negative) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Maximum_Festivity { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.3041584081700229/+0.1763178398559197\ /142961/1/-65/0 params=-1/-1/-1/1/0/0/-2/0 float=y maxiter=3600 inside=0 outside=tdis periodicity=6 colors=000UzzH0zM4zS9z_CzeHzjMzrSzxYzzbzzgzzmzzrzz\ xzzzzzuzzprzjjxebp_UgUM_PHPK9HE1990040000000000000\ 0000000000000100400600900C00C00E00H00K00M00P00S11U\ 44Y64_96bC6bE9eHCgKCjMEmPHpSHrUKuYMxYMz_PzbPzeSzgU\ zjUzmYzp_zr_zubzxezzezzgzzjzzgzzgzzezzezzbzzbzz_zx\ _zu_zuYzrYzpUzpUxmSujSrjSpgPjePgeMebMb_K__KYYHUUHS\ UHMSEKPEHPCEMCCK99K96H00640C94HH6MMCSUHY_KbgUgmamu\ frzmxzszzzzzuzzpzzgzmYu_UpKKj6Ab00Y00S00M00P00P00S\ 00S00S00U00U00U00Y00Y00Y00_00_00_00b00b00b00e00e00\ e00g00g00g00j00j00j00m00m00m00p00p00p00r00r00u00u0\ 0u00x00x00x00z00z00z00z00z00z00z00z00z00z01z01z04z\ 04z04z06z06z06z09z09z09z0Cz0Cz0Cz0Kz0Sz1_z9gzHpzKz\ zMzzPxzPxzSuzSrzUrzUpzYmz_mz_jzbgzbgzeezebzgbzj_zj\ _xmYxmUxpUxpSxrPxrPuuMuxKuxKuzHuzEuzYrzmrzqrzzzzfr\ zUpz4pc1pz0KzQ0zmpzmmz0mz0mz0mz0mz0mz0jz0j00z00z00\ z00z00z00z00z00z00z40z90z } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD 10-05-14 (Depths of the East [A-8,M-8])
by Jim Muth 12 May '14

12 May '14

FOTD -- May 10, 2014 (Rating A-8,M-8) Fractal visionaries and enthusiasts: Today's image lies deep in the East Valley of a tiny minibrot far out near the tip of the main spike of the Mandelbrot set. The art rating of an 8 is a result of my brief but serendipitous coloring work. The math also rates an 8, thanks to the unexpected details, which are due to the nearness of the escape cut-off point. The image is merely a stop on the way to the final destination of the central minibrot. But sometimes, even as in real life trips, the scenery passed on the way is more rewarding than the scene found at the final destination. Those who would like to see the actual minibrot hiding at the center of the image will have to decide for themselves if the goal was worth the effort of the trip. I named the image "Depths of the East" because the scene lies in the East Valley of a larger but still infinitesimal minibrot. The normal calculation time of 10 minutes has been cut in half to 5 minutes because the image is centered on the X-axis and takes advantage of X-axis symmetry. The finished image is posted for widespread critique 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 clouds and light rain showers to Fractal Central. The temperature of 79F 26C pleased the fractal cats, especially Jasmine, who spent much of the time chattering at the birds flying around the yard. The fractal humans had a typical day, which means nothing happened that was worth mentioning. The next FOTD will be posted in a day or two. Until then, take care, and why am I here and not over there? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Depths_of_the_East { ; time=0:05:00.00 SF5 at 2000MHZ reset=2004 type=mandel float=y center-mag=-1.99999\ 91175872020592922720221759/0/1.77e+027 params=0/0 maxiter=5000 bailout=4 symmetry=xaxis periodicity=6 colors=000yzfwxdzubtr`zocrkXpfVoaTnXSlSQkNOiJMhFKg\ BIe7Gd3EK0DW5EP9EAPK0UO3Rc0RG5OI6PJ7QL7RM8SO9YQAUR\ AVTBWUCXWDYYEZZE``FaaGbcHceHdfIehJfiKgkLhmVWKYZM`a\ ObdRegThjVklXnpZqtdtznzzz000kHimJkoKmqLosMquNsvOtt\ MprKlpIhnGdlE`jCXhBTf9Pd7Lb5H`3DZ19X05WEGWRQWd`Wqj\ N0kO4fO7aOBYPETVi`_jXdjTdbRdWQdPPaLO_HOYEOVANT6NR3\ NNDJKNGHXCEf9Bp58y2Ph8dTEtDKciibswfonjleniYrfPvcGy\ `86BB5GC5LD4QE4VF4_G8YDCWBFV9JT7MS5QQ3TP1VU6WYBXaF\ YfKZjP_nTaoXdp`fpcgMeTMTNISHESwKomIjcGeUE`KCWe8U`9\ UW9TQATLASGASa6xO8gNDNRuYWuf_uoVumRulNukJujFuhBug7\ uf3ueChXLXOULFa97bJIcTTdbbelmeuwhrnjofllZoiRqfJsdB\ nURiJfe9umCutEuoJjjO`eTRaYHdSKfNMhIOkDQm8So3UhDPbM\ LWWHQdDJn9Dw5CoABgFA`K9TP8MU7EZ67b78_gF1bE6XDASCFM\ BJGAOnleXcGTHoQGkNFgKDcHC_EBWwK0hIG`GJSEMJCPcU1KK8\ FFF000N67H8IwnJAAK`QMOIPCXbCU`CQ_BNYBJWBGVBDTVSRFp\ mFkjEehE`eDVbCQ_CKXBFUEDo } END PARAMETER FILE=========================================

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FOTD 11-05-14 (Center of Attention [A-8,M-6])
by Jim Muth 12 May '14

12 May '14

FOTD -- May 11, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image is kind of an extra one. It is a repeat of yesterday's scene, but at a magnitude great enough to reveal the minibrot hidden at the center. The color palette is virtually the same, with only a few registers having been tweaked. The art rates an 8, the math, a 6. The name "Center of Attention" refers to the minibrot. The calculation time of 8-1/3 minutes is bearable but still demands a bit of fractal dedication. Here is where the web sites do their thing. Total relief from calculation drudgery awaits 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> where the finished image is posted. Totally perfect conditions prevailed this mother's day here at Fractal Central. The blue sky was decorated with angel-hair cirrus and cotton-puff cumulus clouds, the wind was light and the temperature reached a fractal cat pleasing 81F 27C. The cats showed their pleasure by spending most of the day in the windows, watching the world go by. The fractal humans, with no mothers to honor, spent the entire afternoon browsing an antique emporium south of the Mason-Dixon line. The next FOTD will be posted in the appropriate time. Until whenever that is, take care, and if God exists outside the universe and actually does work physical miracles, then the universe is not a closed system, and the law of cause and effect goes kaput. When this happens, the entire discipline of science goes back to the drawing board. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Center_of_Atention { ; time=0:08:20.00 SF5 at 2000MHZ reset=2004 type=mandel center-mag=-1.9999991175872\ 020592922720221785261/0/3.3e+030 params=0/0 float=y maxiter=5000 inside=0 symmetry=xaxis periodicity=6 colors=000IehJfiKgkLhmVWKYZM`aObdRegThjVklXnpZqtdt\ znzzz000kHimJkoKmqLosMquNsvOttMprKlpIhnGdlE`jCXhBT\ f9Pd7Lb5H`3DZ19X05WEGWRQWd`WqjN0kO4fO7aOBYPETVi`_j\ XdjTdbRdWQdPPaLO_HOYEOVANT6NR3NNDJKNGHXCEf9Bp58y2P\ h8dTEtDKciibswfonjleniYrfPvcGy`86BB5GC5LD4QE4VF4_G\ 8YDCWBFV9JT7MS5QQ3TP1VU6WYBXaFYfKZjP_nTaoXdp`fpcgM\ eTMTNISHESwKomIjcGeUE`KCWe8U`9UW9TQATLASGASa6xO8gN\ DNRuYWuf_uoVumRulNukJujFuhBug7uf3ueChXLXOULFa97bJI\ cTTdbbelmeuwhrnjofllZoiRqfJsdBnURiJfe9umCutEuoJjjO\ `eTRaYHdSKfNMhIOkDQm8So3UhDPbMLWWHQdDJn9Dw5CoABgFA\ `K9TP8MU7EZ67b78_gF1bE6XDASCFMBJGAOnleXcGTHoQGkNFg\ KDcHC_EBWwK0hIG`GJSEMJCPcU1KK8FFF000N67H8IwnJAAK`Q\ MOIPCXbCU`CQ_BNYBJWBGVBDTVSRFpmFAoEehEAeDVbCA_CAgB\ AgAAryzzwxqzuitrdzocrkXpfVoaTnXSlSQkNOiJMhFKgBIe7G\ d3EK0DW5EP9EAPK0UO3Rc0RG5OI6PJ7QL7RM8SO9YQAURAVTBW\ UCXWDYYEZZE``FaaGbcHceHdf } END PARAMETER FILE=========================================

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KrAkAtOa
by JackOfTradeZ＠comcast.net 10 May '14

10 May '14

. Jim - that's one of the best in a long while! Now trying to determine parameter spread for morph animation. Starting to look way cool; I'll put it to another Bach harpsichord tune, but this one gonna take some time ..... Good things come to those who wait. .

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FOTD 09-05-14 (Krakatoa Eruption [A-9,M-8])
by Jim Muth 09 May '14

09 May '14

FOTD -- May 09, 2014 (Rating A-9,M-8) Fractal visionaries and enthusiasts: Today's image is another of those strange and totally unpredictable things that the MandNewt formulas can produce. The formula, number 14 of the series, is a new one, so be sure to copy it into your formula file. BTW, I have no idea of what these formulas actually do. To me, the image appears to be a volcano in full eruption, complete with the underground magma still rising to the surface. I named it "Krakatoa Eruption" after the most recent super- eruption, which took place on an island between Sumatra and Java late in the 19th Century. My extra coloring effort raises the art rating to a lofty 9. The math rates an 8. If I knew exactly what is going on with the math in the image, the math could also have rated a 9. The calculation time of 2-1/2 minutes will pass in a flash as soon as the top of the fiery cloud above the erupting volcano becomes visible. This time may be cut down by checking the web sites. So be cool! Experience the fiery eruption on 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> The day began mild enough, but a thick blanket of clouds spoiled the morning hours. The sun finally broke through in the afternoon, which allowed the temperature to reach a very pleasant 75F 24C. With the temperature so mild, the fractal cats were not worried about the lack of sun, and devoted their energies to getting as much food as possible. The humans had another average day. It's not very exciting but it's true. The next FOTD will be posted in a day or two, maybe three. Until whenever, take care, and whatever happened to the threat of the end of the world? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Krakatoa_Eruption { ; time=0:02:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=mandnewt.frm formulaname=MandNewt14 passes=1 center-mag=-1.9804\ /0/0.3296938/1/-90/0 params=-1.214/-1.207/0.495/\ 0.018/0.246/1.438/5e-031/0 float=y maxiter=500 inside=bof60 logmap=yes periodicity=0 colors=000S4PQ4NO4MN4KL4IK4GH4FG4DF4CD4AC49A48A468\ 45744533431531631631731831931A31A31A41C41C61C71D81\ E91B41B41B41A41941841741641541541651761971C81F91JA\ 1NA1PA1RA1T91X91Y91Z91Z81Z81Z81Z81Z71Z71Z71Z71Z71Z\ 72Z62Z63Z63Z54Z54Z54_54`45a45b46c46c47c47c38c39b39\ b2Aa2Aa2Aa1Ab1Cb1Cc1Cc1Cd1De1Df0Eg0Eh0Fj0Gl0Gm0Ho0\ Hp0Ir0Is0Ku0Kv0Lx0Ly0Rz0Rz0Sz0Sz0Yz0Yz0Vz0az1Zz1Xz\ 3Rz4Qz6Oz8NzAHzAHzCFzEAxG9xI8xK7xM6xO5xQ4xT3xV2xX1\ xa1xe0xi0zm0xj0wf0vb1vY2tS4sP5qM7oP9mTCkWDiYFg_Ge`\ HcaHa`I__IYZKWWLUVLSUMQSNOQNMPOKOOIMPLLQMKQOHSPGSS\ FTTDUVCUWCVZAV_9Wa8Yc7Ye5Zg4_i4_k3`m1`o1ax0`z0az1c\ z4dz6ez8gzAhzCizFkzIlzKozLmzLlzMkzNizNhzOgzOezPdzQ\ cyQaxSawT`vT_uUZtVYsVWrWVqWUqYTpZSpZQp_Po`On`NmaMl\ cLkcKjdIidHheGggFfgEehEdiDciCbkCalA`lA`m9am8coAdpC\ epFgqIgqMesPdsTcsWct_cvcavgawkdxogzskzvmzxpzzszzvz\ zxzzzzzzzzzzzzzzzzzzzzzzz } frm:MandNewt14 {; Jim Muth z=g=pixel, a=real(p1), b=imag(p1), c=real(p2), d=imag(p2), e=real(p3), f=imag(p3): h=z^a+(g-b)*z-f j=c*z^d+g z=z-e*h/j, real(p4) <= |h| } END PARAMETER FILE=========================================

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FOTD 08-05-14 (Something is Wrong [A-6,M-9])
by Jim Muth 08 May '14

08 May '14

FOTD -- May 08, 2014 (Rating A-6,M-9) Fractal visionaries and enthusiasts: Something is indeed wrong with today's scene. This is why I have given the math a rating of 9, while the art rates only a 7 despite my extra work. The math is interesting because the minibrot at the center is clearly quadratic, while the elements in the surrounding pattern are of order-6. As an example of the strangeness, notice the 6 small spirals near the frame edges and the 36 tiny spirals at the next level inward. I have seen this phenomenon several times before, and it appears no more logical today than it did when I stumbled upon it about 12 years ago. But such counter-intuitive things in fractal math are what makes fractals so much fun and has kept me fascinated for over 25 years. By comparison, those who approach fractals with a 'look ma I'm an artist' attitude all too often quickly lose interest. The parent fractal came about when I subtracted 0.35 part of Z^(4) from Z^(3) and added straight C on each iteration. This parent resembles a Mandelbrot set rotated 180 degrees, with large open bays at the end of every filament. The largest bay of all lies at the eastern tip of the main spike. This bay has a large but unstable valley intruding into it, which is very sensitive to changes in the real(p2) parameter. Today's scene lies in this valley, very close to the X-axis. The calculation time of 3 minutes is well within reason, but the viewing can be made even easier by checking the finished image on the web sites. Enjoy life to the fullest. Avoid the calculation hassle by viewing the finished image on the FOTD 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> The weather was rather pleasant here at Fractal Central today, with partly cloudy skies, gentle winds and a temperature of 75F 24C. The fractal cats passed the time watching the birds in the yard, while the humans took care of the business department. The next FOTD fractal, for better or worse, will be posted in the near future. Until then, take care, and some of yesterday's supernatural nonsense has become today's scientific wonders. I wonder how much of today's supernatural nonsense will become tomorrow's scientific wonders. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Something_is_Wrong { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=ident passes=1 center-mag=+0.4473682468658692/-0.0008456880636021\ /2e+007/1/-22/0 params=1/3/-0.35/4/0/0/0/0 float=y maxiter=2600 inside=0 logmap=160 periodicity=6 colors=000DqjDqiDqhGqgJqfMqePpdRpcUpaXo__oYanWejVh\ gUkcTn`SmZQlXOkWNkULjSJiRIhPGhOFgMDfKBeJAeH8dF6cE5\ bH3bK2ZO1WS1TW1PZ1Ma1Jc0Ge0Cg09i06k03m0Ao4Gq7MsASu\ D`wHgxKkyNmzQnvVosZppbpmfqljslnulnznnxmmvllukksjkq\ ijpiinhhlghkfgiefhefebdb`b_Z`WW_SUYOPVKMSGJPDGMBEJ\ 9CG7BD6AC79C78D87C86B85A94A93AA2AA1AA0AB69B58B57E7\ 6H85K95SL3ZW1YW6YWBXWGXWKWWPWWUVWYVWbUWgUWkTUhTTfT\ SdSQaSP_SOYSNWRLTRKRRJPQHMQGKQFIQEGTGLWIQYKV`M_bOc\ eQhgSmjUrlVvmXtmZsm`rmbqmdpmfomhnnimnklnmknojnqins\ hnugnvfiq_dmU_hOVdIQ_CLW6HS0MR7QQDVQJZPPcPWgOalOgp\ NmtNsuPquRpvTnvVmwXkwZjx`hxbgxcfr`dlYcfWb`TaVX`PO_\ OMVOLRNJNNBIMGEMFAOJCPNER7GSUITXJV`LWdNYgPZkR_nSi`\ erOspXqndombpm`qm_qmYrmWrmVsmTsmStmTtmUumVumWvmXvm\ YumZum_pmakmcmreowgqziszkuzmwzozzqzzszzuzzwzzxzzyz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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FOTD 07-05-14 (The Shadow of Doom [A-6,M-8])
by Jim Muth 07 May '14

07 May '14

FOTD -- May 07, 2014 (Rating A-6,M-8) Fractal visionaries and enthusiasts: Today's image shows a minibrot being devoured by a dark shadow encroaching from the right. Shocked by this scene, I named the image "The Shadow of Doom". Actually, the shadow is the advancing edge of a kind of cutoff point set by the ridiculously large value of the imag(p3) parameter, which determines the escape radius. The parent fractal combines 10 negative parts of Z^(-1.1) with one part of Z^(-11) before adding (1/C) on each iteration. This combination produces a very common type of parent fractal, consisting of a north-south string of large bays with a prominent 'fan' extending east from the origin. Today's scene lies well east of this fan, in an area that has been opened up by the immense escape radius. The art rating of a 6 implies that the image is less than totally awesome. The math rating of an 8 shows that encroaching escape radii are rather unusual. The calculation time of 2-1/3 minutes will pass, take my word for it. It will pass even faster when the finished image is viewed on the web sites. The pre-calculated image is posted online 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> Clouds moved in during the morning and thickened during the afternoon here at Fractal Central today. The rain arrived in the evening, adding to the fractal cats' annoyance with the temperature of 64F 18C. The fractal humans found their annoyance in the work that refused to co-operate. The next FOTD will be posted in the near future. Until whenever, most likely 24 hours, take care, and some scientists laugh at the supernatural beliefs of their more religious comrades, while speaking things that appear far more supernatural than any religious doctrine. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Shadow_of_Doom { ; time=0:02:20.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basic.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+6.150456348458247/+0.00268274080360025\ /9.387e+010/1/172/0 params=-10/-1.1/-1/-11/0/2.26\ 9668213942e+017/0/0 float=y maxiter=1000 inside=0 logmap=140 periodicity=6 mathtolerance=0.05/1 colors=000Ns`AzaAqbChcAzd5neAze3mb3m`4mZ4mX5lV5lT5\ lQ6lO6kM7kK7kIAkG6fC5b94Z54V23X63Y93ZD3_G2`K2aN2bR\ 2cUopsljqjeog_meVkcPi`KgYEeW9cU4bS5_R5YQ6VO6TN6QM7\ OL7LJ7JI8GH8EG8CH6MI4VJ2dK0mL5iM9eMDaNHYOMUOQQPUMQ\ YIpbERfASjzSn2mj4Xg6_c7a`9dXAfUCiQEkNFnJHpGIsCKu9L\ iKKZUKOdKDnKCkMCiNCfOCdPBaRB_SBXTBVUASWAQXANYALZ9I\ `9Ga9Db9BcBJeDQfFYgHdiJljKskLreLq_MpUMpPNoJNnDOm7O\ m2LnAIoHFpPCpW9qc6rj3rq5np6ko8ho9enAbnC_mDXlFUlGRk\ HOkJLjKIiMFiNChO9hNAgNAfNAfNAeNAeMAdMAdMAcMAbMAbLA\ aLAaLA`LA`LA_LA_OBXQCVSDSVEQXEOZFL`GJcHHeIEgICjJAl\ K7nL5pL3jKMdJc`FfYCiU9lR6oO3rO9mOEiOKeOP`OVXO_TOdP\ PeOPeNPfNPfMQfMQgLQgLQgKQhJRhJRhIRiIRiHRiHPfLOcON`\ SLYWKWZJTbHQfGNjFKmDHqCEuBCx9Tg7iS6cC7c8Uc4Uc0UUFU\ UKUUPUUTUUYUUaZUk_Ud`UYaURbUKcUMcUOcUQcUScUUcUWZcY\ acZec`hcbkcdnmfqmhtmjwmlzmmvzlmzfpzjmziizhhzggzffz\ fdzeczzazc_zbXzaVz`Tz_zz_ } 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, esc=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < esc } END PARAMETER FILE=========================================

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