August 2011 - Fractint - mailman.xmission.com

Details from recent FOTD's
by Brian Prentice 19 Aug '11

19 Aug '11

Here is a detail from the FOTD for 8/13/11 http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_37.png and here is one from the FOTD for 8/16/11 http://linuxenvy.com/bprentice/Fractals/Set%2016/BP_16_38.png Brian Prentice

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FOTD 18-08-11 (Elephant Trek [7])
by Jim Muth 18 Aug '11

18 Aug '11

FOTD -- August 18, 2011 (Rating 7) Fractal visionaries and enthusiasts: I believe in honesty in advertising, and when a fractal falls flat, I admit it. I realize that no one gets rich by being totally honest about their product, but no one gets rich from finding fractals either, so I've got nothing to lose by telling it like it is. With a rating of an everyday 7, today's deep scene in the Mandelbrot set barely deserves the word 'deep'. At the modest magnitude of only 7*(10^15) it is barely beyond conventional math range, but at least IMO, it has a certain interesting quality about it that raises it to FOTD standards. The scene lies in the East Valley of a larger minibrot on a side filament of the main filament extending from the bud on the north shore line of the period-2 bud of the M-set. I named the image "Elephant Trek". I see a few hints of elephant parts in the scene, though not quite enough trunks and heads to fully justify the name. The parameter file takes 25 minutes to finish. In today's on-the-go world this might be too much precious time, so save the time by viewing the finished image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> Or view it in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site, with all the images and discussions since April 1997 may be accessed at: <http://www.Nahee.com/FOTD/> The day began mostly sunny here at Fractal Central, and continued this way through a good part of the afternoon. At post time, showers were in the area, though none had yet reached FC. The temperature of 86F 30C brought out the best in the fractal cats. They spent most of the time sleeping. While the cats were taking it easy, the humans were doing what needed to be done. When the necessities were finished, we took it easy also. It is hardly necessary to state that the next FOTD image will be posted in 24 hours. Until then, take care and when I was a youngster, I knew that science and technology would be our salvation. But now I'm not so sure. What it is doing is making us ever more dependent on the high priests of the 'Church of Science and Technology'. I recently overheard a young boy (probably an internet addict), ask how people ever got along when they didn't have cell phones and the internet. Well, I was around before cell phones and the internet, getting along quite well, the same as everyone else, and I can state that we managed life the same as we are doing it now without the next big technological advance, which will not be developed for another 50 years. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Elephant_Trek { ; time=0:25:10.06-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.0188\ 8639656655182417/0.30447073015893949152/7.411e+015\ /1/-10/0 params=0/0 float=y maxiter=7500 bailout=16 inside=0 logmap=1110 periodicity=6 colors=000F0AF0AF0AE0AE0AE0AE0AE0AE1AE2AE3AE4AE5AD\ 6BD7BD8CC8CC9DCADBAEBBEBCFACFADGAEG9FH9FH9GI8HI8HJ\ 8IJ7JK7JK7KL6LL6MM6MM5NN5ON5OO4PO4QP4RPUSSfMRpWaze\ kzcgvcdrcfmdgkdiidjgdkedmcenaep_eqYesVetSeuPfpNglM\ hgKicJjZHkVGlRFhTEdVD`XDYZCU`BQbAMdAJf9Fh8Bj77l74n\ CApGFqKKrOPtSUuWZv_cxchygmzclw`ltYkrUkoRjlOjjKigHi\ dEhbAh_7gX4gV8VTCIRG6PI9QKBRLDSNFTPIUQKVSMWTOWXWO`\ bGdi8adFZ_LWVRTRXQMbNHhKCnI8tN9oRAjVAfZBabBYcCTcDO\ cDKcEFcEBcDCcDDcCEcCEcBFcBGcAGcAHaAI_9IW9JT8KQ8KM7\ KJ7KG7KpLmrNorRorVmrZlrbkrfjrjirnhrrgrzfzzcKKMbFBm\ K1kb3ge6d_9mKbzKbzCLzAHI8ES6AX47aA9cHBeNDmYFzcHv_D\ r_9mZ5hX1cRSZLrUMmPMiKMeFMaANX8NT7NP6NL7TI8YF9bCAg\ 9AzcCmmDcmEUmFJ4LKmRKmXLmbLmhLmnMztMzzMzmKzcLzVLzM\ LzTQzZVze_zzzzzzzzzzzzzzzzzzz`z`ezfjzlnzrjznfzkbzg\ ZzdVz`RzYNzUKzRVzZQzjDzxLzvTzu`ztczG`zKZzOWzSAzRRz\ `gziazfWzdRzbLz`GzZPzcTzO } END PARAMETER FILE=========================================

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FOTD 17-08-11 (Low in Saturation [8.5])
by Jim Muth 17 Aug '11

17 Aug '11

FOTD -- August 17, 2011 (Rating 8.5) Fractal visionaries and enthusiasts: Today's image is named "Low in Saturation". The name refers to the color palette, which, except for a few registers, is of very low saturation. Sometimes, less of something is actually more effective than too much of it however. In today's image, for example, the almost-gray outer parts cause the few brilliantly colored inner spots to appear all the more intense. Less color on the outside gives the impression of more color on the inside. I rewarded myself a half-point for this minor example of color theory. The other 8 points of the rating are due to the underlying image itself, which is a scene not all that deep in the star of the period-30 elephant on the southern shore line of East Valley. The calculation time of 19-3/4 minutes borders on annoying slowness. The arbitrary precision math routine certainly does give the ability to wander as deep as one wishes into the Mandelbrot and Julia sets, but it takes its good old time getting there. Still a slow fractal is better than no fractal at all, and isn't something worth having worth waiting for. But time is time, and to save time, view the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> Or view it is high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original web site may be accessed at: <http://www.Nahee.com/FOTD/> The day began with a shroud of fog here at Fractal Central, but by 9am the fog gave way to a crystal blue sky. The rest of the day featured continued near cloudless skies and a temperature of 86F 30C. The humans' day was another in a long string of days so similar that it is hard to tell one day from another. The fractal cats never worry themselves about boredom however, they are too busy just being cats. The next FOTD fractal will be posted in about 24 hours. It might be late, it probably will not be early, but it is virtually certain to be there. Until then, take much care, and preserve the faith that technology can save the race from self- destruction. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Low_in_Saturation { ; time=0:19:46.22-SF5 on P4-2000 reset=2004 type=mandel center-mag=0.26061764366814\ 702894431163/-0.00176708064896804837819666/6.32257\ 1e+020/1/140/0 params=0/0 float=y maxiter=6400 bailout=16 inside=0 logmap=1076 periodicity=6 colors=000JJ`KK`LL`MM`NNaOObPPcQQdRReSSfTTgUUfVVfW\ WfXXfYYfZZf__b```aa_bbZcc_ddbeedfffggghhhhhgggfffd\ ffdffgggghhgiigjjgjjeiibgg`eeZccXaaV__TYYTWWTUUTUU\ TUUTUUUUUXUUXUUXUUWUUWUUTUURUUPUUQUURUUTUUWSSYQQ_Q\ Q_OOYMMWKKUIISGGQEEOCCMAAK88I8AF8CD8EC8FC8FD8FFAGH\ BHJ9EG9CE89B999778757A68D79C7AC8CGEILKPTTYaahghrYZ\ hPQ_JJTDDMAAHA9GA8FB8E96A969A68B78C78D88E88F98GA9F\ 98FA8E98EA8EA8DA8DB8DB8CB9CCCBBBCCCGGGLJMPNTUP`ZRi\ XSfWTdVRdNOQGIGGHDHBDHBCHBCIBBPFFWIIkLLzMMeFFIDC88\ 8CEDRUNnz_ipaimihjhhhhkkkhhhfffcbd_XbWTOXK_TJQRNP8\ EBzuZzljf`RYUOzz0```HBBLGGNKJKzznKz111111111111000\ 111222232243354476587486586687888888GECoYW`PNMIFDD\ BEGEHJHKNKMQMNUOQ_SSdVViZYob_teYteXtdYte`tfdthitkg\ teftYlzZozZqzZqz_qz_qz`rzarzbrzbszcszetzftzhuziuzk\ uzlvzovzqvzrwztxzwyzxzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzxzyvzxszvizoczj`zeZzb } END PARAMETER FILE=========================================

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FOTD 16-08-11 (A Midget in a Spot [8])
by Jim Muth 17 Aug '11

17 Aug '11

FOTD -- August 16, 2011 (Rating 8) Fractal visionaries and enthusiasts: Today's image again departs from the August theme of images very deep in the Mandelbrot set. The departure was necessary to give me a chance to find another worthy image. These deep images are very slow and sometimes I simply have no chance to find one. But today's image is nothing to sneeze at. It's a scene in the parent fractal that results when the expression, (it's really not a formula), Z^(2.2)+C is calculated 22 levels up the complex logarithmic hyperladder. This parent fractal resembles a Mandel- brot set rotated about 200 degrees CW, with two East Valleys on the west side of its main bay. Today's image is located in one of the last islands in an archipelago of debris extending from the center of the southern valley. The name "A Midget in a Spot" has little meaning beyond the sound of the words. The rating of an 8 is what I thought the image is worth at the time I rated it. The calculation time of 33 seconds is thankfully brief, about the same time required to view the finished image on the web site. The official FOTD web site, with the finished image is online at: <http://www.crosscanpuzzles.com/Archives.html> A high definition version of the image may be viewed at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The venerable classic FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> The day began with a light rain shower here at Fractal Central, but by midday the clouds parted, leading to a mostly sunny afternoon with a temperature of 82F 28C. The fractal cats spent an unusually long time in the window, which means they approved of the more pleasant conditions. The humans spent the day doing little out of the ordinary, though 'ordinary' implies enough work to keep us busy. The next FOTD will be posted in 24 hours. If all goes according to plan, it will be a great one. Until then, take care, and if you can't believe what religion teaches, turn to science; if you don't like what science has found, turn back to religion. If you wish to find the real truth, welcome to the group. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Midget_in_a_Spot { ; time=0:00:33.18-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip center-mag=-0.3441515092977831/-0.0530208699951345\ /1.967296e+007/1/54/0 params=2.2/0/22/0 float=y maxiter=1800 inside=0 logmap=74 periodicity=6 colors=000A0UA0TA0SA0RA0QA0PA0OA0NA0MA0LA0KA0JA0IA\ 0HA0GA0FA0EA0DA1CA2BA3AB34G96LF7QL8VR9_XBdbCihDlmE\ VizQfxMcxH`wDYv8Vu4Su0Pt4MsBLrMJqLKpSKoUUhicaqmWzv\ PzzJmvRcrZOmfGhn9cv7Zr6Un5Pk4Kg3Fd3Dk3Bq9DoFFnKHlQ\ JkWLi`NhfPfkQejJbiC_h5XVE`IMdZP_nSVlUYjV_iXagYce_f\ d`hbbjaclbicbnVbtMbyEZrHVkKReMNZPJTRFMUBGWFFXIEYLD\ YOCZRB_UA_TBYSBXRCVQCUPDSODRNEPMEOLBKJ8H7PbBIUFCMq\ RVeKPUDJrz6eg9UPCO7oM6gL6_K6TJ6Lj8Ee7E`7Em7Em6Em6E\ mxmmqhmjdmc_mXWmQRmJNmCImgBm`CmVCmPDmIDmCEm8SmxOmq\ MmjLmcKmXJmQHmJGmCFmRSmOQmLOmJMmGLmDJmBHm8Fm2Wm3Rm\ 4Nm5Im5xm6nm6em6Wm6NmqLmjKmcJmXImQHzJGzCFzxmzngzea\ zXWzOQzFKzl1zXZzTWzPTzLQzHNzDKz9HzmIzmHzmHzmGzmGzm\ FzmFzmEzmzzmizmUzmozmhzmbzmXzmQmzKmzRmzOmzLmzJmzGm\ zmmzMmzJmzGmzWmzSmzOmzLmzHnz8YzBSz8PzANzBKzDFzmGza\ dzTWzZNzdFzjMzfTzc_z`fzYmzVtzS3zTIzNXzIkzCzz7VzOqz\ 9hzA_zCRzDbzZWzSPzLYzZnz` } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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Do It Again
by Mike Frazier 16 Aug '11

16 Aug '11

This fractal was made by repeatedly zooming in on ever smaller versions of a self similar feature. Each time another zoom point was picked it added another rotated square to the fractal. Here is a link to an image: http://dl.dropbox.com/u/33642054/image/do_it_again_800_5.jpg The parameter file used to make the image: Do_It_Again { ; Exported from Fracton. ; time = 45 sec at 640 x 480 with no aa ; on a Mac Pro 2 x 2.8 Ghz Quad-Core Xeon ; by Mike Frazier, public domain reset=2004 type=mandel passes=1 float=y center-mag=-0.637200981531797321929241216142613588\ 79610418726/-0.49499504327751979843855327780682656\ 575746254617/3.921568676470588e+24/1/43/0 params=0/0/0/0/0/0/0/0/0/0 maxiter=4000 inside=0 proximity=0 colors=000y_TxZSuYRsXQpVOlSNhQLcNJZKGUHEOEBIA8C756\ 32000411932E54J75N87RA8VB9ZDAaEBdFCgGDiHDjHElIElIE\ mIFlIElIEjHEiHDgGDdFCaEBZDAVB9RA8N87J75E5493241100\ 0310721A32E42H53K64N74Q85S95VA6XB6YB6ZB7_C7`C7`C7`\ C7_C7ZB7YB6XB6VA6S95Q85N74K64H53E42A32721310421942\ D73I94MB5QD6UF7XH8_J9bKAdMBfNBhNBiOCjOCjPCjOCiOChN\ BfNBdMBbKA_J9XH8UF7QD6MB5I94D739424210002414927E39\ J4BN5DR6FV7HZ8Ja9KdAMgBNiBNjBOlCOlCPmCOlCOlCNjBNiB\ MgBKdAJa9HZ8FV7DR6BN59J47E349224100022644C77I99OBB\ UDDZFFcHHhJJlKKpMMsNNuNNxOOyOOzPPzOOzOOyNNxNNuMMsK\ KpJJlHHhFFcDDZBBU99O77I44C226000641C92IE3OJ4UN5ZR6\ cV7hZ8la9pdAsgBuiBxjBylCzlCzmCzlCylCxjBuiBsgBpdAla\ 9hZ8cV7ZR6UN5OJ4IE3C92641000413937D5AI6EM8HQ9KUBNX\ CQ_DSbEVdFXfGYhGZiH_jH`jH`jH`iH_hGZfGYdFXbEV_DSXCQ\ UBNQ9KM8HI6ED5A937413000632C75IA8OEBUHEZKGcNJhQLlS\ NpVOsXQuYRxZSy_Tz`Tz`Uz`T } -- Mike Frazier www.fracton.org

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FOTD 15-08-11 (Antibifurcation [8.5])
by Jim Muth 15 Aug '11

15 Aug '11

FOTD -- August 15, 2011 (Rating 8.5) Fractal visionaries and enthusiasts: Today's image is named "Antibifurcation" because it shows the scene of the horrendous crime of antibifurcation, where, in total violation of the laws of fractal math, the number of elements around the center shrinks to a tiny fraction of its value instead of steadily doubling as the laws of fractal math state it must do. But actually, there is no crime at all. The image shows a minibrot in the basin of attraction of a larger but still infinitesimal minibrot lying near the limit of the main spike of the Mandelbrot set, which is (-2). When a minibrot lies in the basin of a larger minibrot, this antibifurcation always happens. By contrast, minibrots in the basin of the M-set itself continue bifurcating in the normal manner, with no setbacks, until reaching the limit of infinity at the edge of the M-set. The curving tentacles in the image are caused by the closeness of the scene to the cutoff point of 2. Why the tentacles curve and twist in such an unlikely manner is known only to the gods of mathematics, and since I am not one of that exalted group, I have no idea why the image appears as it does. All I can do is apply colors to the forms that were already there. The rating of an 8-1/2 is held down because such scenes are quite common in the world of fractals. I added a half-point bonus for the coloring work I put into the image, but even this seems a bit liberal. The calculation time of 23-1/3 minutes is slow, but still reasonable for an image with a magnitude of almost 10^58. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition version is at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original classic site may be accessed at: <http://www.Nahee.com/FOTD/> Heavy clouds and light rain spoiled Monday here at Fractal Central. The fractal cats approved of the temperature of 73F 23C even though to the humans it felt unusually chilly for mid- August. The next FOTD will be posted in 24 hours. Until then, take care, and I once had faith in science, but now I'm not so sure. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Antibifurcation { ; time=0:23:20.93-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.9999\ 99999999996712761384990600054608875639729347944959\ 1259627/0.0/8.5933e+057 params=0/0 float=y inside=0 maxiter=7500 bailout=4 symmetry=xaxis periodicity=6 colors=000SqdTocUlaWj`XhZZeY_cW``VbZTcWSdUQfSPgPNi\ NMjKKkIJmFHnDGoBFdLGVVHLdIBnJ1xK2sI3oH4jG5fF6aD7YC\ 8TB9PAAK8BG7CB6D75E34G47I4AK4DM4GN4JP4MR4PT4SU4VW4\ YY4`_4c`4fb4id4lf4og4qg6pg7og8og9ngBngCmgDlgElgGkg\ HkgIjgJigKigMhgNhgOggPfgRfgSegTegUdgVdfUefTefSefRe\ fQefPffOffNfeMfeLfeKgeJgeIgeHgeGgeGgfHhfIhgJigKihK\ jhLjiMkiNkjNkjOlkPlkQmlRmlRnmSnmTonUonUolTpkSqiRqh\ QrfPsePscOtbNu`Mu_LvYKwXKwZOr_Rm`UhaYcb`ZdcUegPfjK\ gmFhpAdn9am8Zl7Vj6Si5Ph4Lf3Ie2Fd1Cc0`4Ec8eaCc`Ga_J\ `ZNZYQYJRh5Ss6Vp7Xm8Zj9`g9bdAeaBgZCiXDkUDmREpOFrLG\ tIHvFHxD61H90FB7DETBEU9Jk7ds6PkCTcIXVOWNUSLULLVMLV\ NLVNKlOKtOKmPKpPJzQJtRJzRJvSIrSImTIhUIcXHZUHVVHVVH\ VWHVzK5yI6xG7wE8vD9uC9tCAsCBrCCqCCoDDmDElDFkDFjDGi\ EHhEIgEIfEJeEKdFLcFMbFM`FNZFOWGPUGPTGQSGRRGSQHSPHT\ OHUNHVlqIkpJkoJjnJjmKjlKikKijLhjLhiLhhMggMgfMfeMfd\ NfdNecNebOdaOd`Od_PcZPQtf } END PARAMETER FILE=========================================

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FOTD 14-08-11 (Sparking Elephants [9])
by Jim Muth 15 Aug '11

15 Aug '11

FOTD -- August 14, 2011 (Rating 9) Fractal visionaries and enthusiasts: With today's FOTD image we return to the theme of the month -- the land deep within the Mandelbrot set. We check a minibrot that lies in the East Valley of a larger minibrot that in turn lies just beyond the main spike of the still larger minibrot at -1.417 on the main spike of the Mandelbrot set. The image rates a lofty 9, one point of which is due to the coloring. At first I considered adding more colors to the image, but the more I looked at it, the more pleased I became with the subdued blue theme. The name "Sparking Elephants" is a play on the word 'spiking', which might not be a word at all. The spikes are evident throughout the image, pointing straight away from the barely visible minibrot at the center. And the image does have a kind of electric atmosphere about it. The calculation time of 52 minutes is slow enough to make viewing the image on the FOTD web site the better choice. The web site may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition is at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The classic web site with all images since April 1997 may be accessed at: <http://www.Nahee.com/FOTD/> Sunday left a lot to be desired here at Fractal Central. Heavy clouds kept a blanket over the area all day, while intermittent rain killed all hopes of a pleasant day. The fractal cats showed their fractal nature by being in two places at once. But since there are two fractal cats, this is not much of a paradox. The humans found enough indoor stuff that needed doing to prevent boredom from setting in. I killed one hour counting the scientific errors in one of those pop-science shows on one of the supposedly 'educational' channels. The next FOTD will be posted in 24 hours. Until then, take care, and Atheists should be more specific in describing what they *DO* believe about the origin of the universe. When they claim that 'it all just happened by meaningless cosmic accident', they are not answering the question, they are expressing their ignorance, which leaves them open to attack from believers who feel they 'know' where the universe came from. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Sparking_Elephants { ; time=0:52:41.67-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.4189\ 1243194492188838422868091/0/3.22027e+025 params=0/0 float=y maxiter=32767 inside=0 symmetry=xaxis colors=000GOMIOMIOOIOOIPOIPPIPPIPPIPRIPRIRRIRRIRTI\ RTIRTIRVITVITVITXITXITXITZIVZIVZIV`IV`IV`IVbIXbIXb\ IXdIXdIXdGTiIVmIVmHXmHXmHXmHZmGZmG_mH_mH_mH_mH_mH_\ mH_mF_mD_mD_mB_m9_m9_m7_m5`m5`m5`p5`r6`r6`r6`r8`r8\ `pA`pA`pA`pBbpBbpDbpDbmFbmFbmFbmGbmGbmIbmIbkIbkKdk\ KdkMdkMdkMdiOdiOdiPdiPdiPdiRdiRdgTegTegTegVegVegXe\ gXeeXeeZeeZee`ee`eedddbeebee`ee`eeZgeZggZggXggXggV\ igVigTiiTiiTkiRkiRkiPkiPkkOmkOmkOmkMmkMpkKpmKpmKpm\ IpmIrmGrmGrpFrpFrpFtpGtpItrKtsMvtOvuQvvSvwUvxWxyYx\ z_xzaxzczzezzgzzizzkzzmzzrzvrzymzxmzxmzxmzxmzxmzzm\ zzmzzmzzmzzkzzizxgzxezxczxazx_xxYvvXvvWtvVtvUrvTpv\ SptRmtQmtPktOitNitMgtLgrKerJdrIdrGbrEbrC`pAZp8Zp6X\ p4Xp2Vp0Vp0Xp0Xp0Xp0Vp0Vm0Ti0Tg0Re1Rb2P`2PZ4OV5OT6\ MR5LO6IM7HK7EG6DF7AD89A878604655655655656656656668\ 66866866A66A66A68B68B68B68D79D8AD9DFAEFBFFCGFDHGEI\ GFLGGMIGMIGMIGMKGMKGOKGOM } END PARAMETER FILE=========================================

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FOTD 13-08-11 (Half a Spider [7])
by Jim Muth 13 Aug '11

13 Aug '11

FOTD -- August 13, 2011 (Rating 7) Fractal visionaries and enthusiasts: The theme of August is fractals from deep in the Mandelbrot set. Today's image is not from the Mandelbrot set however. It is from the fractal that results when Z^(2.25)+C is iterated 1/2 level up the complex logarithmic hyperladder, (actually more of a hyperspiral). I had to depart from the theme of the month for one day to get caught up. The very deep images are quite slow, and I have been falling behind. The parent fractal appears as a distorted M-set rotated so that its distorted main period-2 bud lies on the north side of the main bay. There is a small valley on the east side of this bud, with today's image lying in that valley. I named the image "Half a Spider". Spiders have eight legs, but there are only four spidery legs radiating from the central minibrot in the image. Since four is one-half of eight, the name is quite appropriate. (The circular disk closer in around the minibrot holds nine legs however.) The rating of a 7 places the image just about at the center of FOTD ratings. The calculation time of under 1-1/2 minutes assures that no precious time will have been wasted if the eager fractalist is disappointed with the image. For even more assurance, the finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> The image is available in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The classic FOTD site may be accessed at: <http://www.Nahee.com/FOTD/> Threatening clouds moved in here at Fractal Central on Saturday morning, and a heavy thunder-shower arrived at 3pm, putting a finish to any outdoor activities. The fractal cats' outdoor activities are limited to gazing out the windows anyway, so they had no problem with their outdoor activities. If the day had been dry, the temperature of 79F 26C would have been pleasant. The humans, with no outdoor activities planned, had a typical day indoors. The next FOTD should be posted in 24 hours, which is the typical interval. Until then, take care, and be a rational skeptic who doubts that physical aliens are visiting earth in flying saucers. Such visits are impossible. Due to the cosmic speed limit of light, (186,000mps), there is no way for physical aliens to get here. If you must believe in some- thing irrational, believe in ghosts. They are very disturbing to skeptical rationalists, but at least they are not impossible. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Half_a_Spider { ; time=0:01:25.03-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip passes=1 center-mag=-0.1522280397550513/+0.9940388789985681\ /7.345366e+010/1/32.5/0 params=2.25/0/0.5/0 float=y maxiter=1800 inside=0 logmap=141 periodicity=6 mathtolerance=0.05/1 colors=0000Xy0Wt0Uo0Sj0Qe0Na0KX0HS0EN0BJ08E059024f\ LC`IAWF9QD7LA6G74A53521I9yG8rE7lC6fA5`94V73O52I31C\ 106lsBgm9bg8Yb7TX6OS5JM4EG39B2451K_Rpzikudfpb`hWT_\ QMRJEID796pUQjQNdNKZKHTGENDBHA8B65532IscEgWAXO7MG3\ B84T73Q63O63M52K52I42G42E31C31A2182061041020r_PnXN\ kVLgTKdRI`OHYMFUKERICOFAKD9HB7D96A64643321CzzBuuAq\ q9mm8ii8ee7``6XX5TT4PP4LL3GG2CC188044DnNBiLAeJ9aH8\ YF7TD6PB5L94H73C5283141GTjEPdCM_AJV8GQ7CK59F36A135\ IDYC8M64BqKlmIhiHefGbbEZ_DWWCTSAQP9ML8JI6GE5DA4972\ 6313CRt6DSMI_JGWHESFCPDALB9I87E65A437213qRWlOTgMQb\ JNYHKTEHOCEJ9BE78945422mnUijSfgQccO_`MXYKUUIcRGcNE\ cKCmHAmD8mA6m64m32m2Am16m03mULmRImOGmLEmICmKAmU8mU\ 6mU4mU2zUbzUZzUVzcRzcNzcJzcFzcBzc7zc3zmbzmYzmTzmOz\ mJzmEzm9zm4zmYzzgzzhzzhzzhzzhzzhzzhzzhzzhzzhzzhzzh\ zzhzzhzzhzzhzzhzzbzzXzzRzzLzzFzz9zz8zz7zz7zz6zz5zz\ 5zz4zz3zz3zz5zz2zz1zz1zz0 } frm:MandelbrotBC3 { ; by several Fractint users e=p1, a=imag(p2)+100 p=real(p2)+PI q=2*PI*fn1(p/(2*PI)) r=real(p2)+PI-q Z=C=Pixel: Z=log(Z) IF(imag(Z)>r) Z=Z+flip(2*PI) ENDIF Z=exp(e*(Z+flip(q)))+C |Z|<a } END PARAMETER FILE=========================================

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FOTD 12-08-11 (Colors Without End [7.5])
by Jim Muth 13 Aug '11

13 Aug '11

FOTD -- August 12, 2011 (Rating 7.5) Fractal visionaries and enthusiasts: The August FOTD theme is scenes deep in the Mandelbrot set. But this does not necessarily mean the images must be deep enough to require arbitrary precision math. At the scale of today's image, the entire M-set is about the size of the solar system. And at least IMO, this magnitude is quite large enough for the scene to be considered 'deep'. The image comes in two versions -- a slow version that finishes in 24 minutes and a fast version that finishes in 4 seconds. I have included a parameter file for each version. The difference in quality is very small, but it is there. Those who value time above quality should run the fast version. Others will run the slow version and have an inner satisfaction that their image is marginally the better. The scene is located in the East Valley of a larger Minibrot that lies in a chaotic knot on the long filament extending from the north bud of the minibrot at -1.417 on the main spike of the Mandelbrot set -- a rather well-explored area, but one that still holds surprises. The flat, (sky-blue), background was achieved by rendering the image with the logmap set to an artificially large 1260. The correct value is around 970. The rating of a 7-1/2 includes 1/2 point for the coloring, even though most of the coloring was done by the Fractint program, with only a few tweaks applied by me. The name "Colors Without End" is based on the richness of colors in the image. The slow, top-quality version is posted on the FOTD web site. The web site may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> A higher-definition version is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The venerable FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Today here at Fractal Central was a repeat of yesterday, with the same kodachrome skies, puffy clouds, low humidity, and a slightly warmer temperature of 84F 29C. The fractal cats also had a repeat day. They passed the time taking it easy, coming to the alert only when a beat-up old yellow-orange tomact passed through the yard and sprayed the fence. The humans passed the day doing routine things such as finishing the work. The next FOTD will be posted in 24 hours. Until then, take care, and when all activity and all change in the universe finally ceases, how will we tell the past from the future? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Colors_Without_End { ; time=0:24:14.37-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.4175\ 686044006788/0.00225633082302048/1.706292e+012/1/\ 105/0 params=0/0 float=y maxiter=6400 inside=0 logmap=1260 periodicity=6 mathtolerance=0.05/0 colors=0000KzZn9Vh8Rb7NY6JS5FM4BH37B23511VV0RR0NN0\ JJ0FF0BB077033c7A_69W58T57P46L35I34E23A127113007Ng\ 5J_4FT3BM27E137xBruAor9lo9jl8gi8df7bc7_`6YY6VV5ST5\ QQ4NN4KK3IH3FE2DB2A817515202z`XtXUoURjROeOM_LJVIGQ\ FDLCBF98A65532xuCspBnlAig9ec8`Z7WV6SQ5NM4IH3ED2981\ 440AwH9rF8mE7iD6dB6_A5W94R73N63I52D3192041nXHkVGiT\ FfSEdQDaPC_NCYMBVKATI9QH8OF8LE7JC6HB5E94C749637424\ 31210PHJNGIMFHLEGJDFICEHBDFACE9BD8AB89A78967756645\ 534323212101xz2su1oq1km1gi1ce1_`1WX1ST0OP0KL0GG0CC\ 0880440zO8tM7oK6jI6eG5_E4VC4QA3L82F62A41520MB6IA5F\ 84C63952631310L_kJXhIVeHTbFR_EOXDMUBKRAIO9FL7DI6BF\ 59C369246123iC2nZbmVagQ`aM_WHZQDYH0XA0XA0XA0XTGWQH\ WNHWKIWHIWGHUFGSEFRDEPCDOCCMBCL06BABJ9AI89G88F77D6\ 6C56A459447336224113001zzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } ColorsWithoutEnd { ; time=0:00:03.88-SF5 on P4-2000 reset=2004 type=mandel passes=1 center-mag=-1.4175\ 686044006788/0.00225633082302048/1.706292e+012/1/\ 105/0 params=0/0 float=y maxiter=6400 inside=0 logmap=1260 periodicity=6 mathtolerance=0.05/1 colors=0000KzZn9Vh8Rb7NY6JS5FM4BH37B23511VV0RR0NN0\ JJ0FF0BB077033c7A_69W58T57P46L35I34E23A127113007Ng\ 5J_4FT3BM27E137xBruAor9lo9jl8gi8df7bc7_`6YY6VV5ST5\ QQ4NN4KK3IH3FE2DB2A817515202z`XtXUoURjROeOM_LJVIGQ\ FDLCBF98A65532xuCspBnlAig9ec8`Z7WV6SQ5NM4IH3ED2981\ 440AwH9rF8mE7iD6dB6_A5W94R73N63I52D3192041nXHkVGiT\ FfSEdQDaPC_NCYMBVKATI9QH8OF8LE7JC6HB5E94C749637424\ 31210PHJNGIMFHLEGJDFICEHBDFACE9BD8AB89A78967756645\ 534323212101xz2su1oq1km1gi1ce1_`1WX1ST0OP0KL0GG0CC\ 0880440zO8tM7oK6jI6eG5_E4VC4QA3L82F62A41520MB6IA5F\ 84C63952631310L_kJXhIVeHTbFR_EOXDMUBKRAIO9FL7DI6BF\ 59C369246123iC2nZbmVagQ`aM_WHZQDYH0XA0XA0XA0XTGWQH\ WNHWKIWHIWGHUFGSEFRDEPCDOCCMBCL06BABJ9AI89G88F77D6\ 6C56A459447336224113001zzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } END PARAMETER FILE=========================================

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Shuriken
by Mike Frazier 13 Aug '11

13 Aug '11

This one looks sort of like a shuriken or throwing star. It was synthesized by repeatedly building a line fractal and doubling the number of arms. Here is a link to a web page with an image: http://www.fracton.org/fmlposts/shuriken.html The parameter file used to make the image: Shuriken { ; Exported from Fracton. ; time = 14 min 48 sec at 640 x 480 with no aa ; on a Mac Pro 2 x 2.8 Ghz Quad-Core Xeon ; by Mike Frazier, public domain reset=2004 type=mandel passes=1 float=y center-mag=-0.637200976755101990090375751704920316\ 4129285920553172950221050123642148620218915862204/\ -0.49499504293951702730512003147598679071318907247\ 67733511982230245678938692912016518461/1.302083349\ 609375e+75/1/-21/0 params=0/0/0/0/0/0/0/0/0/0 maxiter=16000 inside=0 proximity=0 colors=000y_TxZSuYRsXQpVOlSNhQLcNJZKGUHEOEBIA8C756\ 32000411932E54J75N87RA8VB9ZDAaEBdFCgGDiHDjHElIElIE\ mIFlIElIEjHEiHDgGDdFCaEBZDAVB9RA8N87J75E5493241100\ 0310721A32E42H53K64N74Q85S95VA6XB6YB6ZB7_C7`C7`C7`\ C7_C7ZB7YB6XB6VA6S95Q85N74K64H53E42A32721310421942\ D73I94MB5QD6UF7XH8_J9bKAdMBfNBhNBiOCjOCjPCjOCiOChN\ BfNBdMBbKA_J9XH8UF7QD6MB5I94D739424210002414927E39\ J4BN5DR6FV7HZ8Ja9KdAMgBNiBNjBOlCOlCPmCOlCOlCNjBNiB\ MgBKdAJa9HZ8FV7DR6BN59J47E349224100022644C77I99OBB\ UDDZFFcHHhJJlKKpMMsNNuNNxOOyOOzPPzOOzOOyNNxNNuMMsK\ KpJJlHHhFFcDDZBBU99O77I44C226000641C92IE3OJ4UN5ZR6\ cV7hZ8la9pdAsgBuiBxjBylCzlCzmCzlCylCxjBuiBsgBpdAla\ 9hZ8cV7ZR6UN5OJ4IE3C92641000413937D5AI6EM8HQ9KUBNX\ CQ_DSbEVdFXfGYhGZiH_jH`jH`jH`iH_hGZfGYdFXbEV_DSXCQ\ UBNQ9KM8HI6ED5A937413000632C75IA8OEBUHEZKGcNJhQLlS\ NpVOsXQuYRxZSy_Tz`Tz`Uz`T } -- Mike Frazier www.fracton.org

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