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FOTD 14-01-11 (The Far North [6])
by Jim Muth 13 Jan '11

13 Jan '11

FOTD -- January 14, 2011 (Rating 6) Fractal visionaries and enthusiasts: Today's image takes us deep into the parent side of the west branch of the prominent valley of the large period-3 bud on the northern side of the main bay of the Mandelbrot set, where after a minor bit of exploration, we find today's scene, featuring the usual central minibrot. The image was rendered with the outside set to 'summ', though the only improvement over the normal 'iter' rendering is a few brilliant highlights. Perhaps the best rendering is achieved by resetting the logmap to 'yes' and setting the outside to 'tdis'. Unfortunately, this increases the calculation time to an hour, and I'm not sure the result is worth the effort. Since the Mandelbrot set has been examined and examined again so many times, I could give the image a rating no higher than an average 6, but it's really a rather pleasant scene, with its strikingly intense colors. The name "The Far North" indicates the location of the scene in respect to the main bay of the M-set. Those who wish to be reminded of Greenland by the name, may do so at their pleasure. The 41-second calculation time of the fast parameter file will pass in a flash. Those who decide to run the slow version will have their decision rewarded by a slightly different, question- ably better version of the same scene. The fast 'summ' version of the image may be seen in finished form on the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and if Ken decides to post the slightly different slow version, it may be found there also. In the meantime, the original FOTD web site is still online at: <http://www.Nahee.com/FOTD/> though the last time I checked, it was not up to date. The sun was quite strong all day Thursday here at Fractal Central, and the fractal cats made the most of it by spending the entire afternoon on the shelf in the sunniest window. The outside temperature of 28F -2C bothered them not at all. My day was routine. The next FOTD will be posted in 24 hours. Until then, take care, and to find the meaning of life, look beneath the surface of the world. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= The_Far_North-fast { ; time=0:00:41.12-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.1281832946783\ 11/+0.649523014799861/1.291657e+011/1/120/0 float=y params=0/0 maxiter=250000 inside=0 outside=summ passes=1 logmap=5600 mathtolerance=0.05/1 colors=00000Kz0uz0zz0xz0gz0Pz5AiI8SW8Cg8zK0z00z10m\ C5SMG5YS0ga0ig5imEisOixMcsKYoISkGMgEGce0Wk0Oq3GxC7\ zK0zU0za0zW0zS0zO0zI3zE7zACz5Gz1Mz0Pz0Uz0_z0cz0iz0\ mz0qz0gz0_z0Sz0Kz0Cs05m00e00_00U00O00P00P00P07P0KS\ 7YSIkSSzSczSmzYazcPziEzo3zu0zz0zz0zz0zCIxm0zP0zqx0\ ck0S_GEOeGizCazAWz7Pz5Kzz8zqAziAzaCzWCzOCzGEz8EzOI\ 1CGYq80eA0WC7MCPCEi0Kz0Iz0Iz0Gz0Gz0Gz0Ez1EzzW0za5u\ UPUMiz5Az8OkAaOCoczoYzqSqsMiuIaxCUz7Mzzzzicz0zz0xz\ 0qz0iz0cz0Yz1Pz3Kzi0q_3uS7xI8zACz000M0Ee0E0Pe_3zUM\ zOKzIIzCGz7EzzzzeazoSgsm0zukxuequYmeSiuMexE_x8zx1z\ x0za0Um0Yc0aU1eK5cA7U1Ac0Em0Iw0Mz0Oz0Kx0Gs0Cq78mI5\ iU1gc0co0_z0Yz0Kz77zP0xi7oeGgcPa__UYiOUsGSzAPz5Mz1\ Kx0Ix0Gc0Ec0Cc0Ac08o07o05m03z01k00g01c03a05Y07W08z\ 0AO7CMCEIKGGPICYK8cM7kO3qP1xPzqOzsOzuOzxOzzOzzMzzM\ zzMzzMzzMzzKzzKzzKzzKzzKzzIzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } The_Far_North-slow { ; time=1:01:56.06-SF5 on P4-2000 reset=2004 type=mandel center-mag=-0.1281832946783\ 11/+0.649523014799861/1.29166e+011/1/120/0 float=y params=0/0 maxiter=250000 inside=0 outside=tdis logmap=yes mathtolerance=0.05/1 colors=00000Kz0uz0zz0xz0gz0Pz5AiI8SW8Cg8zK0z00z10m\ C5SMG5YS0ga0ig5imEisOixMcsKYoISkGMgEGce0Wk0Oq3GxC7\ zK0zU0za0zW0zS0zO0zI3zE7zACz5Gz1Mz0Pz0Uz0_z0cz0iz0\ mz0qz0gz0_z0Sz0Kz0Cs05m00e00_00U00O00P00P00P07P0KS\ 7YSIkSSzSczSmzYazcPziEzo3zu0zz0zz0zz0zCIxm0zP0zqx0\ ck0S_GEOeGizCazAWz7Pz5Kzz8zqAziAzaCzWCzOCzGEz8EzOI\ 1CGYq80eA0WC7MCPCEi0Kz0Iz0Iz0Gz0Gz0Gz0Ez1EzzW0za5u\ UPUMiz5Az8OkAaOCoczoYzqSqsMiuIaxCUz7Mzzzzicz0zz0xz\ 0qz0iz0cz0Yz1Pz3Kzi0q_3uS7xI8zACz000M0E_BL0Pe_3zU7\ cOKzI7zCGz70KjhzeazoSg0Z0zukxuequYmeSiuMexE_x8zx1z\ x0za0Um0Yc0aU1eK5cA7U1Ac0Em0Iw0Mz0Oz0Kx0Gs0Cq78mI5\ iU1gc0co0_z0Yz0Kz77zP0xi7oeGgcPa__UYiOUsGSzAPz5Mz1\ Kx0Ix0Gc0Ec0Cc0Ac08o07o05m03z01k00g01c03a05Y07W08z\ 0AO7CMCEIKGGPICYK8cM7kO3qP1xPzqOzsOzuOzxOzzOzzMzzM\ zzMzzMzzMzzKzzKzzKzzKzzKzzIzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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FOTD 13-01-11 (A Hole in Time [5.5])
by Jim Muth 12 Jan '11

12 Jan '11

FOTD -- January 13, 2011 (Rating 5.5) Fractal visionaries and enthusiasts: As I forecast in yesterday's FOTD, today's image is a descent into the inside of the debris-filled minibrot of yesterday's image. The scene is located near the center of the main bay, just south of the centers of the concentric rings. The name "A Hole in Time" is a fantasy. I assumed that time is the fourth dimension and today's image is a hole in its ceaseless flow. The rating of a 5-1/2 equals the amount of snow (in inches) that fell overnight here at FC. It also implies that the image is not quite up to FOTD standards. At first glance, the open areas in today's image appear as though they would fill in with a higher maxiter. This is not so. The points of the open areas are trapped forever. I raised the maxiter to 50,000 and found no change in the resulting image. (Actually there was a change. The calculation time more than tripled.) The calculation time of 2-1/3 minutes is a bit slow for such a modestly rated image. The way to avoid immodesty is to view the finished image in its full glory on the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And don't forget the original site at: <http://www.Nahee.com/FOTD/> Snow fell through the night Tuesday here at Fractal Central, and by daybreak Wednesday 5-1/2 inches 13cm were on the ground. The temperature rose from 23F -5C to 28F -2C by afternoon, as the clouds hung on and a few snow flurries continued. The fractal cats watched alertly from their window shelf as I cleared the pavement, then decided the shelf was too chilly and took to the shelf by the heat. The rest of the day was incident free. The next FOTD will be posted in 24 hours. Until then, take care, and search for the runaway fractal. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= A_Hole_in_Time { ; time=0:02:21.95-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 center-mag=+0.25963570772/-0.001512409298/5413836/\ 1/12.5/0 params=0/0/0/0/-4.4/0/1e-100/0 float=y maxiter=5000 inside=0 periodicity=0 colors=000zzBzzCEzCzzCFzCzzCHzCzzDzzDJzDzzDzzDzzDz\ zFPkHRkJSkLUkNWkPXkQZkS`kUUb5Ud5Ug5Ui5Uk5Xf6Zb6`Y7\ bU7ZQAWNCTKEQGGMDJJALG6ND3PA0RG7SLESQLSVRSYWO`_Lcc\ IfgFikBlo8os5rw2pr4om5nh7mc8lZAjUBiPDhKEgFGfAHe6IR\ XJDvKCuICuHCuGCuFCtECtDCtCCtBCs9Cs8Cs7Cs6Cr5Cr4Cr3\ Cr2Eq5Gp7HpAJoCKnEMnHNmJPlLRlOSkQUjSVjVXiXYiZcfaid\ dnbfi_gdXg_VhVShQQiLNiGKjBIj6Fk1Dk5Cl9BmCAnGAoJ9oN\ 8pR7qU7rY6s`5sd4th4uk3vo2wr2wj6jcAYWELPI8NMALPCKSE\ IVGGYIF`KDcMBfOAiQ8lS6oU5rW3uY2xZ4vX6tW8rUAqTCoSEm\ QGkPIjOKhMMfLOdKQcISaHU_GWYEYXD_VCaTAcR9eQ8eO9eM9e\ L9eJAeIAeGAeFAeDBeCBeABe9BfACfADfBEfBEfCFfCGfDHfDH\ fEIfEJfFKfFKfGLfGMfHMfHNfIOfIPfJPfJQfKRfKSfLSfLTfM\ UfMUgNVhOVhPWiQWiRWjSXjSXkTXkUYlVYU9KP9AS9DV9GYAJa\ AMdAPgDUjGXmLZnR`pWbr_btcbvgcxhcwcctYdqSenMfjGggAh\ d4ia0jZ0hW0fT0dQ0bN0`K0ZH0XE0VB0T80R50P30N40L50J60\ H60F70C8099LB9MBAOBBPBBPB } 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 12-01-11 (A Brot in a Spot [6])
by Jim Muth 11 Jan '11

11 Jan '11

FOTD -- January 12, 2011 (Rating 6) Fractal visionaries and enthusiasts: Today's excursion into the HyperMandelbrot set takes us to the East Valley area, where we check the condition of the large minibrot on the shoulder of the period-32 elephant on the southern side of East Valley. What we find is "A MiniBrot in a Spot". Minibrots are supposed to be empty on the inside -- this emptiness is what defines a minibrot. But the minibrot in today's image is filled with superfluous, concentric rings of curious stuff that makes me wonder whether it is still proper to call it a minibrot at all. I suspect that this extra stuff is not truly real. It easily might be an artifact of the math routine, when such tiny values as 10^(-100) are entered into it. But wherever the stuff comes from, it is one of the most curious things I have stumbled upon in all my 20-some years of fractal exploration. In tomorrow's image I will see what unexpected surprise goodies I can find on the inside of today's minibrot. The rating of a 6 is not as high as I would have preferred, but the fast calculation time of just over 2 minutes means that little effort will be required to run the attached parameter file. And for those with calculation problems, the finished image is available on the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site, maintained by Paul Lee for almost 14 years, may be accessed at: <http://www.Nahee.com/FOTD/> but it is probably not up to date. Heavy clouds hung over Fractal Central all day Tuesday, and to make matters worse, snow began at 3pm. The temperature rose from 16F -9C at daybreak to an afternoon high of 28F -2C. The fractal cats checked the outside a couple times to keep track of the snow, then settled on their shelf by the heat. My day was about normal, which means everything stayed well under control. The next FOTD will be posted in 24 hours. Until then, take care, and it seems as though the more I learn, the less I know. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= A_Brot_in_a_Spot { ; time=0:02:06.93-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 float=y center-mag=+0.2596401989/-0.0015216554/33755.27/1\ /-162.5/0 params=0/0/0/0/-4.4/0/1e-100/0 maxiter=3000 inside=0 logmap=84 periodicity=0 colors=000MUWMTWNSVNSUNRUOQTOPTOPSPORPNRPMQPMQNPRM\ RRLTSJVSIXTHZTGaUEcUDeVCgVAiW9kW8nX7pX5rY4tY3vZ2xZ\ 4vX6tW8rUAqTCoSEmQGkPIjOKhMMfLOdKQcISaHU_GWYEYXD_V\ CaTAcR9eQ8eO9eM9eL9eJAeIAeGAeFAeDBeCBeABe9BfACfADf\ BEfBEfCFfCGfDHfDHfEIfEJfFKfFKfGLfGMfHMfHNfIOfIPfJP\ fJQfKRfKSfLSfLTfMUfMUgNVhOVhPWiQWiRWjSXjSXkTXkUYlV\ YlWZmXZmYZnY_nZ_o__o``pa`pbaqcaqcardbrebsfbsgcthct\ hcpgdmfeifffegceh_diXdjUckQclNbmKbnHZhFVcDRZBOU9KO\ 7GJ5CE3994BA5DA6EA6GA7HA8JA9LB9MBAOBBPBCRBCSBDUCEW\ CFXCFZCG_CHaCIcDIdDJfDKgDLiDLjDNkFPkHRkJSkLUkNWkPX\ kQZkS`kUbkWckYek_gkahkbil`il_ilZimYjmXjmWjnVjnUknT\ koSkoRkoQlpOlpNlpMlqLmqKmqJmrImsHntGpwFrzEtzDvzCxz\ DzyEzxKzwPzvUzuZztczshzrmzqrzpvzozznzzmzzmzzmzzmzz\ mzzmzzmzzmzzmzzmzumzymzzmzzmzzmzKOfPWyVUj`PUmOHzVz\ czzzz0tlJUzCz`khPzcDzcDzg2zQZzXcz0hzTmzXmz`mzHmzNm\ zTmzZmzFmzPmzZmzgmzlmzpmz } 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 11-01-11 (In the New World [?])
by Jim Muth 10 Jan '11

10 Jan '11

FOTD -- January 11, 2011 (Rating ?) Fractal visionaries and enthusiasts: Since I have no idea what's happening in today's image, I'll not try to analyze it to find out what's going on. All I know about it is that the parent fractal is a Mandelbrot set with a lot of extra stuff along the shorelines of the bays and buds. Today's image lies in the extra stuff that clogs the Seahorse Valley area of the parent. The bud in the image is like none I have seen anywhere. One thing certain is that the image lies in the Hypercomplex Mandelbrot set, though I have no idea why the ridiculously tiny real(p4) parameter makes such a difference. The image might be an artifact of imprecision, but even if this is so, it has all the attributes of a 'real' fractal, (whatever a real fractal might be). The rating of a ? expresses my confusion about such images. Also, the artistic worth is lacking, and I did not want to give an embarrassingly low rating. The name "In the New World" does not refer to the era of explora- tion. It indicates that the image exists in an entirely new world of fractals, a world that, BTW, is in need of quite a bit of exploration. The calculation time of 7-1/2 minutes is a bit expensive for the result. The slowness is necessary because periodicity must be turned off when the HyperMandelbrot2 formula is used. A better time bargain may be found on the active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where the finished image is or soon will be posted. The original FOTD web site at: <http://www.Nahee.com/FOTD/> is not up to date. Monday here at Fractal Central began with a temperature of 14F -10C, and reached an afternoon high of 34F +1C. The fractal cats enjoyed the sun that filtered through the high clouds. My day was kept busy trying to explain the Boltzmann brain problem to FL. (In fact, I'm still trying to explain it to myself.) If all goes well, the next FOTD will be posted in 24 hours. Until then, take care, and when I grow up, I'm going to be a Boltzmann brain. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= In_the_New_World { ; time=0:07:31.05-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=t float=y center-mag=-0.7500761333772764/-0.0002675458948816\ /8.292033e+009/1/-31.5/0 params=0/0/0/0/-4.3/0/\ 1e-150/0 maxiter=5000 logmap=2556 periodicity=0 colors=0000006ET5EV5EW4EY4E_3E`3Eb2Ed2Fe6Gf9IfCKgF\ MgIOhLQhOSiRUiUWiYYb`_WcaPfcIieBjgDjiEkkFkmGloIloJ\ mpKmpLnoNnnOomPolQokRmjVkiZihaggeeficeladp_csYboWa\ kV`gUbcTe`SiXSlURpRQsNPwKPzHQpORgURZ`SQfSHlTJkULjV\ NiWPhXRgYTfZVeZWe_Yd`_caabbcace`dg_dh_ZkUUnOPqJSlK\ VhKYcL`_LcVLfRMiMMlIMoDNr9Nu5NsCMqILoPKmVJlaJjgIhn\ HftGezGAwWBuWBsWCqWDoWCmYDmWEmVFmTGmSHmRImPJmOKmNL\ mLMmKNmJOmHPmGQmERmDSmCTmAUm9Vm8Wm6Xm5Zm1Ym4Xm7XmA\ WmCVmFVmIUmKUmNTmQSmSSmVRmYRm_SmZTmYUmYVmUVmUWmUXm\ UYmUZmUYmUYmUYmU_mUYmUXmUVmUUmUSmURmUUmmUmmUmmUmmU\ mmUmmUmmUmmUmmUmmUmmUmmUmmUmmUmmUmmcmzcmzcmzcmzcmz\ cmzcmzcmzcmzcmzcmzcmzcmzcmzcmzcmzmmzmmzmmzmmzmmzmm\ zmmzmmzmmzmmzmmzmmzmmzmmzmmzmmzzmzzmzzmzzmzzmzzmzz\ mzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmz\ zmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzEmzFmz } 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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Recording "legacy" MIDI synth
by Jay Litwyn 09 Jan '11

09 Jan '11

I hav my sound card's line out feeding into my amplifier/radio's video-in, and a tape deck is on it, so I can record, then feed the line out from my amp to my computer's line-in. To eliminate possibility of feedback, I never do both at once. So, I can record synth output onto tape, then transfer that back to my computer. It is not neat. It is not low noise. It just works. I am just wondering if anyone plans to implement "windows sound system" calls, so that all I hav to do is call up "sound recorder", select 44.1kHz/mono and press the rec button before I make winfract play something. _______ http://ecn.ab.ca/~brewhaha/Sound/Puppy.mp3

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FOTD 10-01-11 (In de-Sitter Chaos [6.5])
by Jim Muth 09 Jan '11

09 Jan '11

FOTD -- January 10, 2011 (Rating 6.5) Fractal visionaries and enthusiasts: Today's image is a scene in the Seahorse Valley area of the Hypermandelbrot set. And yes, that is a minibrot at the center of the screen. But as is immediately obvious, the minibrot has a problem. It is filled in. I have no idea why such an infini- tesimal value as 10^(-150) should make such a great change in the appearance of the minibrot. But the change is real, and it is possible to zoom into the interior of the minibrot. The name "In de-Sitter Chaos" refers to the overall chaotic appearance of the image, which is typical of scenes in Hyper- Mandelbrot fractals. de-Sitter space is, by current cosmolog- ical thinking, the ultimate state of the universe if it keeps expanding and cooling indefinitely -- an infinite and eternal space of maximum entropy, a featureless soup of vacuum energy and seething virtual particles at a temperature of something like 0.00000000000000000000000000001 degree Kelvin. And it's hard to get any colder or any more chaotic than that. The rating of a 6-1/2 includes no personal reward for the color- ing. I simply could not decide between a rating of a 6 or a 7. The calculation time of 8 minutes is a bit slow. Luckily, the finished image is available on the current FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> the original FOTD web site may be accessed at: but it is probably not up to date. <http://www.Nahee.com/FOTD/> Sunday here at Fractal central was partly cloudy with a morning low temperature of 19F -7C and an afternoon high of freezing. The fractal cats found the on-and-off sunshine annoying, and took up residence for the afternoon on the shelf by the heat, where the warmth is more dependable. My day was average. The next FOTD will be posted in 24 hours. Until then, take care, and why are we like that? Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= In_de-Sitter_Chaos { ; time=0:08:05.18-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=HyperMandelbrot2 passes=1 float=y center-mag=-0.7377505903290246/+0.1741944660245706\ /1e+010/1/58.7/0 params=0/0/0/0/-4.3/0/1e-150/0 maxiter=5000 inside=0 logmap=-1176 periodicity=0 colors=00089R9ASABTBCUCDVDEWEFXFGYGHZDIS9DL69E347c\ oEXfBQY9KQ7DH4682T1KN0GH0CB08504Z29Q16H14802DKNVRH\ FD8gJ2XE1M91B40xgCcT8KE4lFU_BMO7FC37HcxDWkAO_6GO38\ C9H0480GEYA9M54BFJF797ZWWSPPLJJECC766QaGKUCFM9AF65\ 73dsqZkiTcaNWUHONBGFz87c0c0ccc0c0ccc0c0ccc0c0ccz7Y\ zzMz2BgwiTcUDgtCuIM`RWG_kqRgVHd87fFAgMDhSGiZIzeLzm\ OztRzzTzzm5F1U_HKOBAC5_VeyrVVRFHeYQ3kM2dI2YE1RB1K7\ 0D306zfzzEcnYMfTI_mFTJCLE9E96743uPyiKlYF`NAOB5CQxr\ LmhHc_DUR8KI4A9jWYNGHHwu8UTOezIVVFDUzAAs0zzmKzsczv\ mzzozzqzztzzwzzzzz0QnOMfKI_HETDBLA7E6373j6Ud5QZ4MT\ 3IN3FH2BB17503hLfaI_WFUPCOJ9IV6CF36BMM8HH6DD488244\ axBUk8M_6FO47C2piVzsWoiQe`LVSGLIAA95oSqhOjbLcWHXQE\ RJAKD7D636oKwdGkVC_K8OA4C`f4X7RG3DX40Q30J20D10600c\ 1kY0dS0YM0RH0KB0D506VoZNbQFQH7D8PfrgNNaKKXHHREEMBB\ G88B55522g0HT0BE05TnyLaiEPV7CFtV_hOSYILMCEB67LimIb\ eFWZCQS9JL6DE3673s7BvP9lK } 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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Re: [Fractint] FOTDs
by JackOfTradeZ＠comcast.net 08 Jan '11

08 Jan '11

. FOTD -- January 07, 2011 Mandel in a Petri Dish loox like freakin' strawberry slices. Strawberries rule! May try to animate it. FOTD -- January 08, 2011 Elusive Butterfly nice one Jim! Zooming back out yields some interesting stuff, finally ending in what loox like a normal Mandelbrot. Doing the zoom animation now, but loox like gonna take a while .... Stay Amazed JoTz .

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FOTD 09-01-11 (Chaos Incorporated [7.5])
by Jim Muth 08 Jan '11

08 Jan '11

FOTD -- January 09, 2011 (Rating 7.5) Fractal visionaries and enthusiasts: As long as one does not look too deeply into the parent fractal of today's image, it appears to be an everyday Mandelbrot set, but in its depths a certain strangeness starts to creep in. The surface minibrots are perfect miniature M-sets, but as we go deeper, the minibrots become confused, as though they are undecided whether to be quadratic or quintic miniatures. Then, when we reach the deepest depths, the minibrots are purely quintic, with the four lobes and everything else expected in such minibrots. Normally, quintic minibrots are rather boring things, with a tendency to all look the same, but the minibrot in today's image is far from boring. Minibrots usually lie at the center of a basin, with the iteration count steadily increasing as the minibrot is approached. Some minibrots in fractals created with certain formulas, such as the minibrot in today's image, are like volcanoes however -- rising mountains with deep craters at their peaks. As we near these minibrots, the iteration count first decreases gradually, then rises rapidly as we approach the minibrot itself. The reddish parts of today's image are the lowest iteration stuff. The sky-blue stuff behind the dark blue blobs surrounding the flat circular red ridge, as well as the stuff near the minibrot, is the actual high-iteration stuff. The image is located in the trunk of the period-10 elephant on the southeast shore line of the parent M-set. It is quite close to the limit of resolution, which makes the 'mathtolerance' entry necessary in the included parameter file. The name "Chaos Incorporated" expresses my impression of the background areas surrounding the red mountain. The rating of a 7-1/2 includes a half point for the coloring, which is a not-insignificant part of the image. (My modesty prevents me from rewarding myself with more than a half-point bonus.) The calculation time of 2-1/3 minutes is a fair price for such a curious image. The image may be seen for free on the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site, not up to date, may be seen at: <http://www.Nahee.com/FOTD/> Lots of clouds filled the skies over Fractal Central on Satur- day, while the temperature hung around 27F -3C. Light snow also fell most all day, but by evening had amounted to no more than 1cm. The fractal cats complained about the lack of sun and then found comfort on the shelf over the hall radiator. My day was enjoyably slow. We needed the rest after the hectic days of the past few weeks. The next FOTD will be posted in 24 hours. Until then, take care, and be in there with the big time thinkers. (I leave it to the individual to decide who the big time thinkers are.) Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Chaos_Incorporated { ; time=0:02:23.30-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=+0.3438119752193327/-0.0560302035781458\ /2.973926e+013/1/-12.6/0 params=5/10000000000.0/0/0 float=y maxiter=1250 inside=0 logmap=164 periodicity=6 mathtolerance=0.05/1 colors=000zhdzkfwkftmhrokmrmktohtodwrbxtZzwXzxVzzR\ zzPzzNzzJzzHzzFzzVZXh11x00w00t00r00o00m00m00k00h00\ f00d00d10f00h00h00k00m00m00o00o00r01t0Kt0Uw0cw0mx0\ mz0iw0ft0cq0`n0Tj0Le0D_07V01Z04`05a07d0Ag1Ci2Dk4Fm\ 7Jo8LrANrDRtFTtHVwJXxN`xPbzRdzTfwRhrRhmRhhRkdRk`Rk\ XRkTRmPRmLPmHPmDPoAPo7Po4Po1Pr0Pr0Pr0Pr0Tt0Vw0Xw0Z\ x0`x0bz0dz0fz0hz0kz0mz0oz0rz0tz0wz0xz0zz0zz0zz0zz0\ zz0xw4tkAo`HkRNfJVbAbZ2kV0tR0zP0wR0tT0rV0oV0mX0kZ0\ h`0f`0db0bd0`f0Zf0Vh0Tk0Rm0Pm0No0Lr0Jt0Ht0Fw0Dx0Cz\ 0Az0Dt0Fm0Hf0J`0LV0NP1PL4TF5VA8X5AZ1D`0Fb0Jd0L`0NX\ 0NT0NR0NN0NJ2PH4PD5PA8P8AP5CP2FR1HR0LR0NR0PR0TT0VT\ 0XT0`T0XT0TT0PV0LV0HV0DX0AX07X04X01c01h01c01r01e01\ j01e01x01g01n01g01x01i01n01i01z`kz`kz`kz`kz`kz`kz`\ kz`kz`kz`kz`kz`kz`kz`kz`kz`kzwwzwwzwwzwwzwwzwwzwwz\ wwzwwzwwzwwzwwzwwzwwzwwzwwzwwzwwzwwzwwzwwzwwzwwzww\ zwwzwwzwwzwwzwwzwwzwwzwwz } 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 08-01-11 (Elusive Butterfly [7])
by Jim Muth 07 Jan '11

07 Jan '11

FOTD -- January 08, 2010 (Rating 7) Fractal visionaries and enthusiasts: After several days of philosophizing, I seem to have exhausted my philosophical energies, so today's discussion will be philos- ophy free. But have no worry, with the world going as it is, my energies will soon be restored. Today's FOTD features a quintic minibrot at the center of a fractal butterfly. Since the image was a bit hard to find, I named it "Elusive Butterfly". The image is located in a valley on the northwest shore line of a tiny half-morphed minibrot on the main spike of the parent pseudo-Mandelbrot set. The rating of a 7 is what I consider satisfactory for a FOTD image. The calculation time of a brief 51 seconds will pass in what seems half that time once the outline of the butterfly comes into view. Those who would rather not calculate may see the butterfly fluttering on the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and don't forget the original web site at: <http://www.Nahee.com/FOTD/> I haven't checked the original site in several days, so who knows when it might once again be up to date. I will have my own web site up and running as soon as the currently heavy graphics work slows down enough to give time to set up the web site. About 2 inches, (5cm) of snow fell overnight here at Fractal Central, but by midday the clouds broke, leading to a partly sunny afternoon with a temperature near freezing. The fractal cats were quite satisfied with the sun, and spent the better part of the afternoon on the shelf by the window. After sweep- ing the snow from the pavement in the morning, my day was totally routine. The next FOTD will be posted in 24 hours. Until then, take care, and see a great light. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Elusive_Butterfly { ; time=0:00:51.30-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=-1.571577951264321/+0.00000063922382444\ /1.002156e+010/1/-58.5/0 params=5/500000000.0/0/0 maxiter=1250 inside=0 logmap=122 periodicity=6 colors=00001101202313423534644755865976A86C86D86F8\ 6G86I86J86L86M86O86P96R96T96U96W96X96Z97_ABaKGcSLd\ ZNedSfjXjpcpzmznPofKhZF`aHYcKVeOSgRPiVMkYJmaGodDnb\ Lm`SlZZkYegXdcWd`WdXVdUVdQUcMTcJTcFScCScJWZQ_UabLn\ hPzkVznczqozkfzgbwb`nYajVgaRlXNrTLqPIpLGoHCmDAkGEc\ JHYLLSOOMzSGzVAzfCzzDvnCrkBmgBcdAU`9KY9HV8GR7GO7GK\ 6FH5FD5FA4F74J85N95RA6VB6ZC7aC7eD7iE8mF8qG9uH9xH9p\ XJhkTazafsbjlcnfcr_dvUduWftXgsYhrZiq_jp`kpbmocnndo\ meplfqkgrkhshetecub`u_ZuYWuVUuSRuPPuNNuORsOUmOXgP`\ aPcWPfQYb`fZjoVtwSubLlIEVMFYPG_THbWHd_IgbJifJliKnm\ LqpLstMuwNuzNuyOuxPswQpwRmsclpckmck_bI_aHZaHZ`GZ_G\ Z_FYZFYZEYYEYXDYXDXWCXVCXVBXUBWUAWTAYS9_S9aR8cQ8eQ\ 7gP7iP6kO6mN5oN5qM4s6_u8Xw9VxATyBQzCOzDMzEKzGHzHFz\ IDzJAzK8zL6zFezITzKGzUuzUTzUSzURzURzUQzUPzUPzUOzUN\ zUNzUMzULzULzUKzUKzUJzUIzUIzgHzfGzdGzcFzbEzaEz`Dz_\ CzhSzeQzbOz`MzYJzVHzTFzqQ } 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 07-01-11 (Mandel in a Petri Dish [6.5])
by Jim Muth 06 Jan '11

06 Jan '11

FOTD -- January 07, 2011 (Rating 6.5) Fractal visionaries and enthusiasts: Today's image rates a 6.5. I was torn between a rating of a 6 and a 7, and the best way to settle the dilemma was to give the image a rating of 6-1/2. But unlike most fractional ratings, today's includes no bonus for the coloring, which was achieved almost entirely by the Fractint program. When I saw the image, it brought back memories of bacterial cultures in the old biology classes. The name "Mandel in a Petri Dish" seems quite appropriate. The image combines features of the Z^2 and Z^4 Mandeloids, though at the depth of the image the Z^4 features predominate. The central minibrot is filled with concentric rings of alterna- ting chaos and order; the chaotic areas are filled with smaller minibrots as well as 'antiminibrots' with peaks instead of valleys at their centers. Perhaps the best feature of the image is its relatively speedy calculation time of just over 2 minutes, which is about the time it will take to surf down to the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where the finished image is posted. The original web site at: <http://www.Nahee.com/FOTD/> is still available, and always worth a quick check. While watching the TV news during the Thursday lunch break, I saw a report of several localized showers of falling birds. No one knows the actual cause, but it appears the flocks of birds became disoriented and flew into things. The question of what caused the birds to lose their bearings remains unanswered, but in my opinion, the cause could have been the electromagnetic haze created by the current proliferation of wireless devices and the necessary cell towers to support them. It is known that some birds navigate by sensing earth's magnetic field. Perhaps the electromagnetic signals emitted by the ever- increasing number of cell towers is interfering with the birds' ability to orient themselves. If this is true however, it is unlikely the news media, which is controlled by the giant commun- ication corporations, would cover such a story. I also wonder whether the 'greenie' activists who claim to care so much about the environment would be willing to give up their wireless devices to save the birds. A final thought -- maybe the birds are like canaries in a coal mine. Maybe we should consider their deaths a warning. Yeah, yeah, I know the old mantra -- there is no solid evidence that wireless radiation is harmful. But the hints of danger are everywhere. What I want to see is solid evidence that it is safe. A mix of sun and clouds and a high temperature of freezing made Thursday another typical winter day here at Fractal Central. The fractal cats grew bored with the on-and-off sun and settled for the afternoon in the warmest places they could find. With the work up to date, my day was fair enough. And the plans for the FOTD web site here at FC are coming along. Expect an announcement in a couple weeks. The next FOTD will be posted in 24 hours, more or less. Until then, take care, and watch for scattered showers of falling birds. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= MandelInAPetriDish { ; time=0:02:07.70-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=+0.3602110240053605/+0.6436979362830387\ /9.9012e+007/1/10/0 params=4/4444/0/0 float=y maxiter=1500 inside=0 logmap=100 periodicity=6 colors=000MTALUBKVBJWCIXCHYDGZDFZEE_FD`FCaGBbGAcH9\ dH8eI7eIBdJEdJHcKKcKNbKRbLUaLXaL_`Mb`Mf_Ni_NlZNoZO\ rYOvYOvWNwVMwTLxSKwQJwPJvOIvMHuLGuJFtIFsHErFDrECqC\ BpBAoAAo89n78m57l46l36g47b47Z47V57R57M58I68E68A686\ 688899AAACBCDBDFCEHDGJEHKEIMFKOGLQHMRHOTIPVJQWJSXK\ UXLWXMYXN_XOaXPcXQeXRgXSiXTkXUmXVoXWqXXsXYuXZwX_yX\ `zXazW_zWZzWYzWXzWWzWVzWUzWSzWRzWQzWPzWOzWNzWMzWKz\ WJzWIzWHzWGzWFzWEwUGuTIsSKqQMoPOmOQkNSiLUgKzdKzbKz\ `KzZKzXKzVKzTKzRKzPKzNKzOKzPKzQKzRKzSKzTUzUUzVUzWU\ zXUzYUzZUz_Uz`UzaUzbUzcUzdUzeUzfUzgUzhczicziczjczk\ czlczmczkczjcziczgczfczeczcczbczacz`czZczYczXczVcz\ UczTczRczQczPczOczYczgczqczpczocznhzmhzlhzkhzjhzih\ zhhzghzfhzfhzehzdhzchzbhzahz`hz_mzZmzYmzXmzWmzWmzV\ mzVmzUmzUmzTmzTmzSmzSmzSmzTmzmmzmmzmmzmmzmmzmmzmmz\ mmzmmzmmzmmzmmzmmzmmzmmzmmzmrzmrzmrzmrzmrzmrzmrzmr\ zmrzmrzmrzmrzmrzmrzmrzmrz } 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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