April 2012 - Fractint - mailman.xmission.com

FOTD 15-04-12 (Two Semi-Elephants [No Rating])
by Jim Muth 15 Apr '12

15 Apr '12

FOTD -- April 15, 2012 (No Rating) Fractal visionaries and enthusiasts: Today's image is the second variation on the theme of the East Valley elephants. I have named it "Two Half-Elephants". Actually, the name is not quite correct. The elephants in question are not exactly half-elephants, they are 12/25 elephants, which makes them a little less than half-elephants. The problem with today's elephants is that the parent fractal is not the Mandelbrot set, it is the Mandeloid that results when the expression Z^(1.48)+C is iterated 11 steps up the hyper- stairway with the floor function applied. This figure is a near shapeless blob, with a rudimentary East Valley. Today's scene lies on the south side of this valley. The curled trunks of the elephants are quite apparent, as are their fat rumps, but their middle sections seem to have vanished. The beasts still faithfully guard their appointed buds however, even though the buds are shrunken shriveled things that almost no one but a fractal fanatic would find interesting. The semi-elephants are filled with smaller semi-elephants, apparently all the way down. The image is also filled with minibrots, though I have made no effort to track them down. The name "Two Semi-Elephants" fairly describes the scene. Since by this time the elephant theme is a bit worn out, I declined to rate the image. The calculation time of 9-1/4 minutes is far more that what the image is worth. Here again, the FOTD web sites gallop to the rescue. Check in at the official FOTD web site to see the finished image without the need of calculating it. The web site may be accessed at: <http://www.crosscanpuzzles.com/Archives.html> A high-definition version is online at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> All the past FOTD's may be found at: <http://www.Nahee.com/FOTD/> The day began with heavy clouds and light sprinkles of rain here at Fractal Central, but by noon the clouds broke, leading to a partly cloudy afternoon with a temperature of 75F 24C. The fractal cats had a relatively normal day of sleeping anywhere they could find. With the warmer weather here, they no longer seek the afternoon sun. Meanwhile, the humans had a quiet day, except for FL, who spent the afternoon working in her garden. The next FOTD, a continuation of the elephant theme, is scheduled to be posted in 24 hours. From the way things have been going lately however, I would not be surprised if it were late. Until then, take care, and even the wisest among us know almost nothing. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Two_Semi-Elephants { ; time=0:09:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=floor float=y center-mag=+0.1315118895857274/+0.0741804615612379\ /3827.567/1/-10.75/0 params=1.48/0/11/0 maxiter=50000 inside=0 logmap=50 periodicity=6 colors=000fPMfQMfQMfRMfSNfTNfTNfUNfVOfVOfWOfXOfXOf\ YPfZPf_Pf_Pf`QfaQfaQfbQfcQfdRfdRfeRffRffSfgSfhSfhS\ fiSfjTfkTfkTflTfmUfmUfnUfnUfnUdnWcmXamY`lZZl_Yk`Xk\ aVjbUjcSieRifPjgOihNiiLhjKgkIflHemGdnFclFbkEajE`hE\ _gD_fDZfDYdDXcCWbCUaCT_BSZBRYBQWAPVAOUANS9MR9KQ8JP\ 8JN8JM7IL7HK7GK6FK6EK8DKACKCBKEAKG9KI8JK7IM6HO5GQ4\ FP3EP2DO2CO2BO2AN29N29M29M28M28L28L28K28K28K28A28A\ 27A27I27I27H27F27A27A27F26F26F26C26D26F16K16K16H16\ K15K15K15K15K15K25K35K45K64K86KA8MCAOECQGDSIEUKFWM\ GYOH_QIaSJcUKeWMgYOi_QkaSh_QdYOaVMYSKVPHRMFOJEKGCH\ DADA8A76644N16M15L15L15K15K15K15K15K15K15K15L15M14\ N14O14P14Q14S14U14U14U14V14W14X13Y13_13a13c13c13d1\ 3e13f13g13h1Am2Am1Km1Km1Km1Um1Um1Um1Um1cm1cm1cm1cm\ 1mm1mm1mm1mm1zm1zm1zm1zm1zm1zm1zm1zm1zm1zm1zm1zm1z\ m1zm1zm1zm1zm1zmAnmAlmAkmAimAzmAzmAzmAzmAzmAzmAzmA\ zmAzmAzmAzmAzmAzmAzmAz000 } 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 14-04-12 (Variation-1 [No Rating])
by Jim Muth 14 Apr '12

14 Apr '12

FOTD -- April 14, 2012 (No Rating) Fractal visionaries and enthusiasts: Today's image is the first of several variations on the image of Friday, April 13th. Two East Valley elephants again appear in the scene, but today something has gone wrong with them. The elephants have not only lost control of their buds, they have lost their legs. Instead of standing guard over their buds, the elephants are sitting on them, and now totally legless, appear to be on the verge of abandoning their duties. (I have no idea how elephants with no legs can survive in the first place. It's a question that still needs an answer.) To do these terrible things to the steadfast elephants, I calculated the East Valley area of the Mandelbrot set at an angle double rotated 1 and 1 degrees from the Julia orientation. When viewed from this angle, the features that define the Mandelbrot aspect are enlarged to many times their normal size. At the same time, the Mandelbrot buds and Julia elephants shift position, making it pretty much a random guess which bud the morphing elephants will find themselves standing over. In today's image the Mandelbrot buds are of order 42 and 41, which means that the elephants are not quite the same ones that appeared in yesterday's FOTD, though they are close enough however to make little difference. The color palette is the same unspectacular, earthen one that I used in yesterday's image; and once again I have declined to give a rating to the image. I consider it amusing to distort the eastern elephants, but I do not expect all fractalists, especially those who prefer brilliant colors, to find equal enjoyment. The name "Variation-1" simply numbers the variation of the original theme. More variations will appear on the days to come. Today's image is not created with the high-speed type=mandel formula, so it requires a much longer calculation time of 6 minutes to finish. The FOTD web sites can cut the viewing time to a tiny fragment of this however. The finished GIF image is posted in 640x480 resolution at: <http://www.crosscanpuzzles.com/Archives.html> A high-definition rendering is online at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> All the past FOTD images and discussions are available at: <http://www.Nahee.com/FOTD/> The days continue to get better here at Fractal Central. Today brought lots of hazy sun and a temperature of 70F 21C, making it seem more like midsummer than the middle of spring. The clouds thickened later in the afternoon, but by then a good day was already in the bag. The fractal cats had a quiet day in the window. Apparently the dynamic duo had already cleared the neighborhood of unwanted stray tomcats. The humans had an average day, which is not as average as first appears. FL spent the day visiting with an old friend back in Baltimore, while I had FC to myself. The next FOTD will be posted in 24 hours. Until then, take care, and to find what's really behind the news, don't watch the TV news channels. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Variation-1 { ; time=0:06:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=t float=y center-mag=-0.2406969736493894/-0.0478088393359455\ /68.72852/1/13.15/0 params=89/0/89/0/0.26/0/0/0/2/0 maxiter=32767 inside=0 logmap=38 periodicity=6 colors=000fPMfQMfQMfRMfSNfTNfTNfUNfVOfVOfWOfXOfXOf\ YPfZPf_Pf_Pf`QfaQfaQfbQfcQfdRfdRfeRffRffSfgSfhSfhS\ fiSfjTfkTfkTflTfmUfmUfnUfnUfnUdnWcmXamY`lZZl_Yk`Xk\ aVjbUjcSieRifPhgOhhNgiLgjKfkIflHemGdnFclFbkEajE`hE\ _gD_fDZfDYdDXcCWbCUaCT_BSZBRYBQWAPVAOUANS9MR9KQ8JP\ 8JN8JM7IL7HK7GK6FK6EK8DKACKCBKEAKG9KI8JK7IM6HO5GQ4\ FP3EP2DO2CO2BO2AN29N29M29M28M28L28L28K28K28K28A28A\ 27A27I27I27H27F27A27A27F26F26F26C26D26F16K16K16H16\ K15K15K15K15K15K25K35K45K64K86KA8MCAOECQGDSIEUKFWM\ GYOH_QIaSJcUKeWMgYOi_QkaSh_QdYOaVMYSKVPHRMFOJEKGCH\ DADA8A76644N16M15L15L15K15K15K15K15K15K15K15L15M14\ N14O14P14Q14S14U14U14U14V14W14X13Y13_13a13c13c13d1\ 3e13f13g13h1Am2Am1Km1Km1Km1Um1Um1Um1Um1cm1cm1cm1cm\ 1mm1mm1mm1mm1zm1zm1zm1zm1zm1zm1zm1zm1zm1zm1zm1zm1z\ m1zm1zm1zm1zm1zmAnmAlmAkmAimAzmAzmAzmAzmAzmAzmAzmA\ zmAzmAzmAzmAzmAzmAzmAz000 } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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FOTD 13-04-12 (Elephant Variations [No Rating])
by Jim Muth 14 Apr '12

14 Apr '12

FOTD -- April 13, 2012 (No Rating) Fractal visionaries and enthusiasts: Today's FOTD is not a simple repeat of a scene all fractalists have seen hundreds of times. It is the exposition of a theme. The next several FOTD's will be variations on the theme, which is the East Valley elephants. The valley on the positive X-axis of the Mandelbrot set is known as "East Valley". It is also known as "Elephant Valley". The image shows why it has earned the name "Elephant Valley". The image consists of two steadfast elephants standing guard over their appointed buds. The buds as well as the elephants are of order-49 and 48, and are found on the southern shore line of East Valley. East Valley elephants are not nearly as faithful as it appears however, especially when they are viewed only in their Mandelbrot aspect. A change in the orientation of the view can make them lose track of their buds, or even change into weird animals that resemble giraffes more than elephants. The name "Elephant Variations" indicates that I will be playing various tricks with the elephants in upcoming FOTD images, seeing how long they can remain faithful to their buds. I will also check the dismembered and multiple elephants that result when the exponent of Z is changed. Since there is little new or surprising stuff in today's image, I have given it no rating. Perhaps the best point of the image is its almost non-existent calculation time of around 10 seconds. In today's case, visiting the official FOTD web site and viewing the finished image at: <http://www.crosscanpuzzles.com/Archives.html> could be more of a chore than simply running the parameter file. A rendering in high definition, which might reveal a bit of hidden deail, is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The entire colossal library of FOTD back images for the past 15 years is posted at: <http://www.Nahee.com/FOTD/> The slow improvement in the weather continued today here at Fractal Central, with mostly sunny skies decorated with a few small cottonpuff clouds, and a temperature of 63F 17C. The fractal cats approved of the weather conditions, but they did not approve of the stray feral cats wandering the neighborhood. The humans have nothing against cats either domesticated or feral, but are still careful not to leave food lying about outside. The next FOTD, the first of the series of elephant variations, will be posted in 24 hours. Until then, take care, and people should be careful to avoid claiming that they know something when actually they only believe it. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= ElephantVariations { ; time=0:00:10.00 SF5 at 2000MHZ reset=2004 type=mandel center-mag=+0.2540427803/\ -0.0004256723/7978/1/10.95/0 params=0/0 float=y maxiter=65000 inside=0 logmap=47 periodicity=6 colors=000fPMfQMfQMfRMfSNfTNfTNfUNfVOfVOfWOfXOfXOf\ YPfZPf_Pf_Pf`QfaQfaQfbQfcQfdRfdRfeRffRffSfgSfhSfhS\ fiSfjTfkTfkTflTfmUfmUfnUfnUfnUdnWcmXamY`lZZl_Yk`Xk\ aVjbUjcSieRifPhgOhhNgiLgjKfkIflHemGdnFclFbkEajE`hE\ _gD_fDZfDYdDXcCWbCUaCT_BSZBRYBQWAPVAOUANS9MR9KQ8JP\ 8JN8JM7IL7HK7GK6FK6EK8DKACKCBKEAKG9KI8JK7IM6HO5GQ4\ FP3EP2DO2CO2BO2AN29N29M29M28M28L28L28K28K28K28A28A\ 27A27I27I27H27F27A27A27F26F26F26C26D26F16K16K16H16\ K15K15K15K15K15K25K35K45K64K86KA8MCAOECQGDSIEUKFWM\ GYOH_QIaSJcUKeWMgYOi_QkaSh_QdYOaVMYSKVPHRMFOJEKGCH\ DADA8A76644N16M15L15L15K15K15K15K15K15K15K15L15M14\ N14O14P14Q14S14U14U14U14V14W14X13Y13_13a13c13c13d1\ 3e13f13g13h1Am2Am1Km1Km1Km1Um1Um1Um1Um1cm1cm1cm1cm\ 1mm1mm1mm1mm1zm1zm1zm1zm1zm1zm1zm1zm1zm1zm1zm1zm1z\ m1zm1zm1zm1zm1zmAnmAlmAkmAimAzmAzmAzmAzmAzmAzmAzmA\ zmAzmAzmAzmAzmAzmAzmAzmAz } END PARAMETER FILE=========================================

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FOTD 12-04-12 (The Golden Potato [7.5])
by Jim Muth 12 Apr '12

12 Apr '12

FOTD -- April 12, 2012 (Rating 7.5) Fractal visionaries and enthusiasts: There was no FOTD for April 11. It's a minor tragedy, but the resilient FOTD has survived and will continue into the indefinite if not quite eternal future. Today's image takes us into the parent fractal that results when the formula Z^(1.5)+C is iterated 11 levels up the hyperladder with the recip function applied. This parent is curious in that it has a prominent main period-2 bud, while the East Valley area appears to have been absorbed in its surroundings. Today's image lies in the chaotic debris that marks the area where I assume the East Valley should be found. The rating of a 7-1/2 shows that I consider the image to be in every way average, though I did add an extra 1/2 point for some extra coloring work. The name "The Golden Potato" shows what can happen when whimsy is given full rein. It has nothing to do with the image, but could draw a few extra viewers who might be curious about what a golden potato has to do with fractals. The calculation time of 7-1/2 minutes will drag. Luckily, a great speed-up is available on the web sites, where the image may be viewed instantly. Live in peace by viewing the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> Extend the peaceful feelings by checking the high-definition version at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Appreciate the full extent of the fractal grandeur on the original FOTD web site at: <http://www.Nahee.com/FOTD/> A mix of clouds and sun with a temperature of 57F 14C made today a typical mid-April day in Central Pennsylvania. The fractal cats took the day as it happened. They were neither happy nor dis-satisfied. The humans had a typically busy day. Typical means nothing happened to make the day memorable. The next FOTD is scheduled to be posted in 24 hours. Don't be disappointed however if it is delayed. The posting schedule has been rather irregular recently. Until whenever, take care, and everyone knows eaxctly what the real answers to the world's problems are. But what is wrong with those who cannot see the truth of these answers? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= The_Golden_Potato { ; time=0:07:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=recip passes=1 center-mag=-0.5113007384686734/+0.1460151322137333\ /1.811376e+010/1.0765/27.5/0 params=1.5/0/11/0 float=y maxiter=14400 inside=0 logmap=-397 periodicity=6 mathtolerance=0.05/1 colors=000jpRfiObbL_XJWQGSJDPDBwLrkLr_LrOLrVUjzbzz\ jXzkTzzQztMzpJzkFqkCmk8ck5daBjSHmIMhFK`CJT9IL6GD3A\ 5143402761AC0DH5ESAFaFGkKHuMOmOUfQ__ReTSaPTZLUVHUS\ DVO9WL5WI2QS1K`1Ej08z0mz6MjBTfGZbLhXNqROzLPmTT`_WO\ gZBnaC__CLYC6Xvp_rkYnfWkaUgXScSQ`NOXIMUEKVIJVMJVQI\ WUIWYHW`H`ZEdXChVAmT7qR5uP3fR6TT9EVC0WE4XF8YFCZFG_\ GK`GN`GWUCdN9bUA``BZfBXmCWsC3mE9mBEm9Jm7Pm5UmzZmzV\ mzRnzOyzY_zaYzeWziVzmTzqSznmzbmzSmzHmzKmzNmzQmzTmz\ WmzZmzamzdmzgmzjmzmmzomzmmzkmzimzgmzfmzdzzbzz`zz_z\ zYzzWzzUzzTzzQzzOzzTzzXzz`zzdzzizzmzzqzzuzzuzzuzzu\ zzuzzuzoqzemzXizbezgazmYzrZzmZzh_zd_z__zWWzUSzTPzR\ LzQIzOEzNBzMFzIIzFFzJCzN9zR6zV9zSBzQDzOFzMHzKJzILz\ GOzEQzCSzAUz8Wz6Yz4_z2Wz5Sz7OzAKnCGnFDnHApK7qNBpME\ pMIoMLoMPnMSnMVnMZmLamLelLhlLlkLokLrkLsiMsgNteOtcP\ uaQu_RvYSvWTvUTqZSmbShfSdkR_oRWsRSwRMzWGz_Azc5zg8z\ eBzdSznRznQznRzlRzjpzYnzU } 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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Re: [Fractint] Three Views
by Hal Lane 12 Apr '12

12 Apr '12

Brian, Thanks for posting your three fractal variations on Jim's FOTD for April 9th, 2012. I especially like your BP_17_55c, because the triangular figures are darker & appear against a lighter (local) background. The dark background is also very subtly shaded. And you have a very nice, nearly monochromatic palette, too. I was interested in how the palette was used, so I generated red, green and blue histograms for the image: http://www.emarketingiseasy.com/TESTS/FOTD/BP_17_55c_FOTD_rgb-histogram.gif or: http://tinyurl.com/BP-17-55c-FOTD-rgb-histogram The graphs axes represent: - horizontal -- intensity of color, increasing to the right, with - vertical -- number of pixels with that color The only way I could think of to see the approximate range of colors in your .png image was to convert it to a .gif and look at the .gif color table. The .gif color map is odd, but, interestingly, the .gif image looks surprisingly good. It only had big failures in its colors of the darkest background area colors. The color table/map of the .gif version of your 17_55c .png image is here: http://www.emarketingiseasy.com/TESTS/FOTD/BP17_55c_map.gif My graphics software created a strange-looking .gif color table from the .png image. It almost looks like the only table locations used are the ones in the next to the bottom row. The rest of the table looks like a standard "stepped wedge" of various increasing color intensities and 8 default Windows colors (I think) in the bottom row. - Hal Lane ######################## # hallane(a)earthlink.net ######################## ================================================================ Author: Brian Prentice Date: April 10(?), 2012 To: Fractint and General Fractals Discussion Subject: [Fractint] Three Views Here are three interesting views of the same scene from Jim's FOTD for yesterday: http://linuxenvy.com/bprentice/Fractals/Set%2017/BP_17_55a.png http://linuxenvy.com/bprentice/Fractals/Set%2017/BP_17_55b.png http://linuxenvy.com/bprentice/Fractals/Set%2017/BP_17_55c.png Brian Prentice ================================================================

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FOTD 10-04-12 (Ring of Attraction [7.5])
by Jim Muth 11 Apr '12

11 Apr '12

FOTD -- April 10, 2012 (Rating 7.5) Fractal visionaries and enthusiasts: The parent fractal of today's image is an oversized Mandelbrot set infected in its depths with the quintic virus. The image is located in left-over debris lying inside a half-morphed minibrot on the negative X-axis of the parent M-set, just beyond the endless series of ever-smaller sub-buds. The rating of a 7.5 indicates indecision on my part. Some features deserve a 7; others, an 8. So I compromised and gave the entire image a rating of an acceptable 7-1/2. The name "Ring of Attraction" refers to the bluish ring surrounding the central quintic minibrot. This ring holds yet smaller minibrots, though all of them very closely resemble the one in today's image. The surprisingly fast calculation time of 50 seconds means that impatience can be no excuse for failing to view the image But check the finished image in glorious 640x480 resolution, without the need of calculation, at: <http://www.crosscanpuzzles.com/Archives.html> Check a high resolution version that is even more glorious at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Or add all the past images together for total glory at: <http://www.Nahee.com/FOTD/> But by all means, do not become over or underwhelmed. Today began sunny. The sunshine was of the self-destruct variety however, and by midday the sky had clouded over, with occasional spits of drizzle. The temperature of 52F 11C made mid-April feel more like March, which is fair enough, since most of March felt more like mid-April. The fractal cats ignored the weather, but did hiss and growl at a stray cat they spotted strolling through the yard. The humans made it through the day with a minimum of distraction, which is pretty hard to do in a world apparently gone half crazy. The next FOTD will be posted in 24 hours. Until then, take care, and if the world is already half crazy, what we need is someone to finish the job. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Ring_of_Attraction { ; time=0:00:50.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip float=y inside=0 center-mag=-70.23466866797975/+0.0000063422484464/\ 9.607235e+008/1/-127.5/0 params=5/50 maxiter=2000 logmap=74 periodicity=6 mathtolerance=0.05/1 colors=000GPpFRqESqDTrCUrBVsAWs9Yq9_o9Un9Xl9Zk9`i9\ bg8df8fd8hc8ja8l_8mZ8mX5mV8mWBmWDmXGmXImYLmYNmZQnZ\ To_Vp_Yq`_r`bsadtagubjvblwcoxcqydtzdvzdwyfwygwyixy\ jxylxxmyxoyxpyxryxsoucesPZr8XqAVpCUpDSoFRnGPnIOmJM\ lLLlMKjLKiKJhJJgIIeHIdGHcFHbEGaDG_CFZBFYBEXAEW9DU8\ DT7CS6CR5BQ4BO3AN2AM19L09K07H45E73BA19D5EH8JKBOOUS\ RUXVUaYcfdce`cdXccTcbPmaMm`Im_EmZAmY6mW1mX3zY5zZ7z\ _8z_Az`CzaDzbFzbHzcIzdKzeMzeNzaQzZSzWUzTWzQZgwpgwp\ fwpfwpexpexqexqdxqdxqcxrcxrbxrbxrbxsaysays`ys`ys`y\ t_yt_ytZytZyuYyuYyuYzuYF`VJaSNbPScMWdK_fHcgEhhBli8\ pj5tk4yk3xl3wl3vl3um3tm3sm3sn3rn3qn3pz3oz3nz3mz3mz\ 2lz2kz2jz2iz2hz2gz2gz2fz2ez2dz2cz2mz2mz2mz1mz1mz1m\ z1mz1mz1mz1mz1mz1mz1mz1mz1mz1mz0mz1mz2mz2mz3mz3mz4\ mz4mz5mz5mz6mz6mz7mz7mz8mz9mz9zzAzzAzzBzzBzzCzzCzz\ DzzDzzEzzEzzFzzFzzGzzHzzHzzIzzIzzJzzJzzKzzKzzLzzLz\ zMzzMzzNzzNzzPzzQzzRzzTzz } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

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Three Views
by Brian Prentice 10 Apr '12

10 Apr '12

Here are three interesting views of the same scene from Jim's FOTD for yesterday: http://linuxenvy.com/bprentice/Fractals/Set%2017/BP_17_55a.png http://linuxenvy.com/bprentice/Fractals/Set%2017/BP_17_55b.png http://linuxenvy.com/bprentice/Fractals/Set%2017/BP_17_55c.png Brian Prentice

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FOTD 09-04-12 (Quadratic Pentagon [8])
by Jim Muth 09 Apr '12

09 Apr '12

FOTD -- April 09, 2012 (Rating 8) Fractal visionaries and enthusiasts: Today's image lies in an oversized Mandelbrot set with quintic corruption in its depths. The location is on the northeast shore line of the large period-2 bud, near the beginning of Seahorse Valley. I have been discussing such mixed-exponent images with corrupted depths so fully in recent FOTD's that there is little left to say about them, but whenever I find something I consider worthy of mention, I'll report it in the discussion. The name "Quadratic Pentagon" refers to the quintic corruption, which shows itself spectacularly in today's image in both the number of elements surrounding the central minibrot and in the minibrot itself, which is fully quintic. The rating of an 8 shows my satisfaction with the image, and also my satisfaction with the signs that we might be pulling out of the latest fractal drought. The calculation time of 2-3/4 minutes will pass quickly. Checking the image on one of the web sites will be equally quick and a bit more fun. The image is posted on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> fully rendered and ready to be enjoyed. The high-definition version is at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The entire FOTD history is online at: <http://www.Nahee.com/FOTD/> A sunny morning here at Fractal Central gave way to an afternoon of wind-blown clouds. The temperature of 59F 15C felt much colder due to the winds. The fractal cats spent much of the day in the north window, watching for unwanted cats to pass by. As far as we were aware, none ever did. The day of the humans was occupied with work, tax stuff, and wondering who decides what will make news on the national news channels. If all goes well, and even if it does not, the next FOTD will be posted in 24 hours. Until then, take care, and why are people giving so much attention to such a questionable racial hate crime in Florida, when there is such an obvious hate crime in Oklahoma that has been almost totally ignored? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Quadratic_Pentagon { ; time=0:02:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip center-mag=-38.96306248304892/+6.418597571913191/\ 4.153201e+010/1/-38.25/0 params=5/50 float=y maxiter=2500 inside=0 logmap=442 periodicity=6 mathtolerance=0.05/1 colors=000ePteSrfUpfXngZlgajhciiegihejjcjmako_krYl\ tWlvVhuYes_eqbeodemgekieijegkeeaecSi_KhYJgUIcPHZKG\ SHFNEEHBDC8C75B87A9999B9AD8BE8BG7CI7DK69N1DL6GKBJJ\ GMILPHQSGUVFZYEc`DhcCmfBqeCpeCpeCpeCpeCpeCpeCpeCpe\ CpW_vTavRbvOdvLfvJgvGiuDkuBlu8nu5pu3qz5mz6iz7em8am\ 9VcAIcBCcC7cFDAHIAKNBMSBOXCRbCnejkaZiZNfWBdT09MpKI\ sVEvdBxP5ZA0A8BB6LC4VD2dE1nFAlHIjJQhLYfMZcNZ`NbbUe\ c_hdekeknfqqgwr`tOOLJMODKR8IU3GWhZch_bh`beaabb``b`\ Yc_VcZTdZQdYOeYLeXIfWGfWDgVAiWBgVCeUDdTEbSFaRG_RHY\ QHXPIVOZqRblMfhIjdDn`9nZ6hW9cUCZSFTQIsVqtOntIkoNij\ SgeXf`adWfbRkaMp_IuZGm_Ff_EZ_DS_KgMKeNKdOLbOLaPL_Q\ LZQVWQdTQnRQmU_mXim_sUNaeuwhnvkhvmbvmWumQumKumTmm`\ emiYmL_mCim7hmKimXkmimmwomtmmpjzlhziezecza`zZZzVWz\ RUzNRz`bzonzkgzf`zaUzYNzTGzO9zJ2zJAzJKzJUzJczJmzJz\ zJzzJzzJzzJzzJzzJzzKzzKzzLzzLzzMzzMzzNzzNzzOzyOzzP\ zzPzzQzzQzzRzzSzzUzzWzzYz } frm:MultiExp { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), b=imag(p1)+0.00000000000000000001: z=z*z*fn1(z^(a)+b)+c |z| < 100000000 } END PARAMETER FILE=========================================

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FOTD 08-04-12 (Metempsychosis [8])
by Jim Muth 09 Apr '12

09 Apr '12

FOTD -- April 08, 2012 (Rating 8) Fractal visionaries and enthusiasts: As is apparent by now, there was no FOTD for April 7, nor will there ever be one. FL and I decided to take the day off and go out and have a good time. Today's image is named "Metempsychosis". This does not refer to some weird mental illness, it is another name for reincarnation or the transfer of souls from one physical body to another. (I leave it to the individual fractalist to decide exactly what a soul is.) I gave the image this name because it is a rebirth of the numbers of the most recent image, the one for April 6, which I quit working on a bit too soon. Today's image is a simple but dramatic recoloring of the same image. Actually, it is not exactly the same image. The image of April 6 had no logmap in effect, while today's version has a logmap value of 375. But it is close enough to be virtually identical. The color palette, which contrasts deep blues with fiery reds and oranges, is not a new one. It has often been used, but it raises the rating from a humdrum 6 to a very respectful 8. The calculation time is the same as that of the April 6 image -- a slightly slow 3-1/2 minutes. The web sites can eliminate the wait however. View the finished image online at: <http://www.crosscanpuzzles.com/Archives.html> See a high-definition rendering at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> Check all the past FOTD images at: <http://www.Nahee.com/FOTD/> Yesterday turned out to be such a perfect early spring day (cloudless skies and temperature of 61F 16C) that FL and I decided to take an expedition out to Bellefonte, which lies 55 miles (US measure) or 88 kilometers (real distance) west of FC, to visit an old movie theater that was turned into an antique emporium. The fractal cats, who were left behind, apparently slept most of the time we were away, though when we returned to FC we found that they had been active enough to finish the food we left out for them. The next FOTD will be posted in 24 hours, and that is virtually certain. Until then, take care, and what are those elusive souls made of? . . . perhaps some of those elusive theorized but undiscovered particles? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Metempsychosis { ; time=0:03:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=-35.046276247425/-45.939231961298/1.782\ 84e+008/1/-137/0 params=-1.3/-3.3/-3.3/-1.3/0/0/0/0 maxiter=2500 inside=0 logmap=375 periodicity=6 colors=00000f00e00d00c00b00a00`00_00Z00Y00X00W00V0\ 0U00T00S00P00O80M21KE2JA3GK4EO4CU5Aa58c66o64mB4rF4\ sJ4tN4vS4wW4x_4yc4zg4vh3sh3pi3mi2ij2fj2cj1`k1Xk1Ul\ 0Rk5QjAPiFOhKNgPNfUMeXMd`Lc`KbaKaaJaaJaaIabIabHabL\ lUHabDRk9GtCIlFKeIMZKOSNQLQSETU7VW0WY2W_4Xa6Xb8YdA\ YfCZhEZiG_kI_mK`oM`pO_nMZlLZjKYiJYgIXeHWdGWbFV`EVZ\ DUYCTWBTUAST9SR8RP7PN7RO6TO6VP6WP5YP5_Q5`Q5bR4dR4f\ R4gS3kS3mS3oT3qT2rU2vU2zU1zV1wZ1zc1zh3zm4vr6rr7mm9\ mmAccCccDUUEUUFKKFKKGGCHIEHJGIMIIPKJSMKVOKYQL_UNYR\ LXPJWNHULGTJETHCSEBSC9SA7Y86c64c42c21h33h45h56h58c\ 69U7BJ7CI8EH9FGAHFAIEBKDCLCCNBDOAEQ9FR8FT7Gc6Hm5Hz\ 5Hm6If7J`8KV9IU9FUABTBDTCESDBSDIREKRFKQGPPHUPHVOIW\ OJYNK_NLaMLcMMdLNeLOfKOfKQeJSeITdHVdGXcFYbE_aDa_Cb\ ZBdXAeX9gW8iW7jW6lV5nV4oU3qU2tX1r_2qa3pb4oc5me6lg6\ ki7jk8hm9goAfqAesBcuCbwDaxEmzA`zEOzICzMDzPDzRDzTDz\ VDzXPz_Oz_pzHmzJjzLgzMdzO } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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FOTD 06-04-12 (Midnight Dreamworld [6])
by Jim Muth 06 Apr '12

06 Apr '12

FOTD -- April 06, 2012 (Rating 6) Fractal visionaries and enthusiasts: Today's image is the last in the series based on the parent fractal of April 2. Actually, the series has been a disappointment. Without bias, I can state that they all look pretty much the same to me. Today, for our final venture, we wander into the depths of the chaos southeast of the main Mandeloid of the parent. Unfortunately, what we find there is more of the same mixture of not-very-attractive clumps of chaos and curving filaments. The name "Midnight Dreamworld" is an admitted effort to make a silk purse from a sow's ear. But the fancy words cannot raise the image above the rating of a humdrum 6. The colors, with their effect of oil on a wet pavement, are not bad. More work might have made them better however. The calculation time of 3-1/2 minutes is more than the image is worth. Luckily, the web sites again charge to the rescue. The finished image is posted for all to see on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> A high-definition rendering is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> All the past images are available at: <http://www.Nahee.com/FOTD/> Total sun and a temperature of 57F 14C made today quite pleasant though a bit chilly here at Fractal Central. The fractal cats would have preferred more sun on their shelf, but were satisfied by an extra treat of cheese and tuna. The humans had an uneventful day, which was not nearly as dull or boring as it might at first appear. The next FOTD, a scene in a whole new world, will be posted in 24 hours. If an adventure arises on Saturday however, the next FOTD could be late. Until whenever, take care, and whenever a trendy cause, such as fighting climate change, is accompanied by a warning of imminent catastrophe, you may be sure the danger has been grossly exaggerated. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= MidnightDreamworld { ; time=0:03:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=-35.04627624742518/-45.93923196129789/\ 1.782838e+008/1/-137.5/0 params=-1.3/-3.3/-3.3/\ -1.3/0/0/0/0 maxiter=10000 inside=0 periodicity=6 colors=000FZlE_mD_nC`oB`pAaq9arFS8ETCEUFDVJDVMCWQC\ XTBXWBY_AZbA_f9_i9`m8ap8LD8NI8PM8RQ8SV8UZ8Wb8Xg8Zk\ 8`ouyNrwPpvRmuSktUhsWfqXcpZao`ZnaXmcUkeSjfPihNhjKg\ kIemFdoDcpAbrnhHlgIkgJjgKigLhgMgfNffOefPdfQcfRbfSl\ HJlHKlHLlHMlHNmIOmIPmIPmIQnJRnJSnJTnJUnJVoKWoKXoKY\ oKZpL_pL`pLapLbpLbmNakO`iP_fQ_dRZbTY_UYYVXWWWUXVRY\ VP_UN`TKaTIbSGcREdRCcZBbeAap9alDcCCcFCcHCcJB8MBAOB\ CQBETAGVAIXAK_AMa9Oc9Qf9Sh9Uj8Wm8Yo8_q000400501613\ 62463564665765966A67B68C69D69E6AG6BH6CI6DJ7DK7EL7F\ N7GO7HP7HQ7IR7JS7KU7LV7MW7MX7NY7OZ7P`7Qa8Qb8Rc8Sd8\ Te8Ug8Uh8Vi8Wj8Xk8Yl8_n8ZoNap8`qdYrpMxnPtmNwnOwjOw\ iPwgPwfQveQvcRvbRvaSv_SvZTvXTuWUuVUuTVuSVuRWuPWtOX\ tNXtLYtKYtIZtHZtG_sE_sD`sC`sAas9asmSJgUObVTYWXTXaN\ ZfI_jD`osHAqIBpICoJDnJEmKFlKGkLHjLIiMJhMKgNLfNMeNN\ dOOcOPbPQaPR`QS_QTZRUYRVXSWWSXUSYTTZST_RU`QUaPVbOV\ cNWdMWeLXfKXgJXhIYiHYjGZk } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END PARAMETER FILE=========================================

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