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IFL
by Mark Christenson 16 Oct '12

16 Oct '12

Damien, I have a question. I submitted my resurrected fractal site for the IFL a few weeks ago and haven't heard anything. Is the submission process inactive? Should I resubmit? Thanks, Mark AKA Bud

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While Jim Muth is not posting FOTD images...
by Hal Lane 14 Oct '12

14 Oct '12

While Jim Muth is not posting FOTD images due to the death of his much-beloved cat, Cassie, I'm posting a few more 'investigations' into the parent fractal of his FOTD for Oct. 8th, 2012. Main page: http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html Click "October" in the 2012 column to get to the October, 2012 page that has these additional images. - Hal Lane ######################## # hallane(a)earthlink.net ########################

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Re: [Fractint] FOTD 08-10-12 (Terminus [7.5])
by RENRAD1＠aol.com 12 Oct '12

12 Oct '12

I'm so very sorry to read of your loss. May cherished memories and a successful search for a candidate for introduction to the household ease the road ahead. sincerely, peter m spencer

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FOTD status
by Jim Muth 11 Oct '12

11 Oct '12

Fractal fans: I would like to put rumors to rest. The FOTD is not terminated forever, but it will be on hold for a while. Here at Fractal Central we are still dealing with the unexpected departure of Cassie, one of the fractal cats. Nicholas, the remaining fractal cat, is slowly adjusting to the loss of his lifelong playmate. We will eventually find a new lady companion for him, but only time will tell if she will be able to fill the void. Meanwhile, I am still exploring and finding interesting fractals, and saving them for future FOTD's. JIM

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FOTD 08-10-12 (Terminus [7.5])
by Jim Muth 08 Oct '12

08 Oct '12

FOTD -- October 08, 2012 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is named "Terminus". The word implies an ending, and as far as I know, today's fractal might be the final FOTD. On Saturday, fractal cat Cassie was a little lazy. On Sunday morning she was gasping for breath. When we rushed her to the doctor, he said she had severe pneumonia and put her on oxygen, but he told us she probably would not make it. When the phone rang at 2:30 last night, we knew what it meant. Enough said about that, but with no fractal cat activity to comment on, I now see little reason to continue finding and writing about the simple basic fractals I have been finding in my daily searches, which have fascinated me for the past 15 years but were hardly considered great even when I began posting them. For several years, as has been obvious from my closing comments, my interest has been shifting from fractals-101 more to philoso- phy, science, religion and the human condition. I might combine my thoughts and expand them into a book. If I continue with fractals, I might pick up one of the fast modern-day S.O.T.A. machines and join the legion of fractal fans trying, usually futilely, to make a bit of money from fractal stuff such as giant posters, t-shirts, bags, stained glass, coffee mugs, etc. One thing certain however is that I will continue reading and posting comments to the list. If I turn up any truly great fractals, I will post them, with or without comments. Today's image, which rates a 7-1/2, lies in the parent that results when 2 parts of Z^(-2.2) are combined with 0.2 parts of Z^(-12.2) and (1/C) is added on each iteration. This parent resembles a partially obscured 3-leaf clover, with today's image located in a tiny bud on the southern shore line of the eastern bay. The calculation time of 5-3/4 minutes is a bit slow, but hey!, you would not want to miss what could be the final FOTD image. The web sites will make the viewing notably easier. The completed image is online at: <http://www.crosscanpuzzles.com/Archives.html> A high-defenition rendering is at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The entire FOTD library is at: <http://www.Nahee.com/FOTD/> A chilly cloudy day prevailed here at Fractal central today. The temperature topped out at 54F 12C. With the loss of one fractal cat, the humans had a dejected day. The next FOTD might eventually be posted, but that day is not yet in sight. Until then, if ever, take care, put on those rose-colored glasses and look for the bright side. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Terminus { ; time=0:05:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip float=y center-mag=+0.5131103181014518/-0.5309527846287503\ /1.26e+09/1/35/0 params=2/-2.2/0.2/-12.2/0/0/0/0 maxiter=3600 inside=0 logmap=600 periodicity=6 colors=000VXdhfEbfIUYcRZQLhUTZbS_`JcaS_aU`bW`bY`c_\ `c``db`dd`ef`eg`fi`fk`gm`gn`hp`hr`it`iu`it_jsZjrYj\ rXjqWjpVjpUkoTknSknRkmQklPklOkkNijMgiLehKcgJafI_fH\ YeGWdFUcETbDRaCPaBN`AL_9JZ8HY7FX6DX5C_9GaDJcHNfLQ3\ csjTXlX`4bpqdgshj5amunonln6`jbhlXfk7_gKbiE`h8Zf2Xf\ 4Zc6_c7`_9aY7_dCcTEdR8_eHfNLdN9_fV_N_YNA_ghTNmRNB_\ hvNNtLWC_hqHlpFtoKpnOmmSjlXfk`cjd`iiXhmUgqRguORcSA\ NWELYHJ_KI`NGbQFcUDeXCg_Ahb9je7ki6ml4oo3pr1ru0s0lB\ NSHi8NeETbJY_PcXUhUZmMOkEDi63hCEXIPMHQOHRPGSQGSSFT\ TFUUEVWEVXEWYDX_DY`CYaCZcB_dB`eB`f3425847B59F6BI8C\ M9EPAGTCIWDJZEHaJFcNDeSBgW9i`7kdFl`MlYUmU`mRgmOjlT\ mlYplbslgvllxlpvioufnscmr`lpYkoVjmSilPhjMgiJgNGuRJ\ pUMlYPh`SddV`gYXk`TncPifOehNajMXlMTnLPpKLrJGtJCvI8\ xH4zHEqFNhEW_DdRBmIAvA9tDArFBqHCoKDnNElQFkTGiWHhZI\ faJedKcgLbjM`mN_pO`sO`vOaxObzNczNzzNzzNzzNzzNzzBzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, 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 06-10-12 (The Greatest Mystery [7])
by Jim Muth 07 Oct '12

07 Oct '12

FOTD -- October 06, 2012 (Rating 7) Fractal visionaries and enthusiasts: Fractals are one of the greatest mysteries, but perhaps the greatest mystery of all is the human brain, which by some strange coincidence is brought to mind by today's image. The other day on one of those pop-neuro-science shows on TV, I heard the statement that 'you are your brain'. This sounds harmless enough as long as one does not think too deeply about it, but the deeper one thinks, the less sense the statement makes. If I *am* my brain, as neuro-science claims, and I *have* a brain, which is a fact, then it is stated that my brain has a brain, which makes no sense at all, since there is only one brain. Just what is this mysterious 'I' that has a brain? Maybe the implication is that the 'I' in question is a mere illusion generated by my brain, which would mean the illusion has a brain. Or maybe the illusion is having an illusion of having a brain. Or maybe we should simply state that my brain *is* my brain. Where the heck has reality gone? I thought science was based on reason and common sense. Until neuro-science can get its act together and make clear the process of the generation of self-awareness from unconscious meat, the brain will likely remain the greatest mystery. Since today's image rather resembles a brain, I have named it "The Greatest Mystery". Almost as non-sensical as the world of neuro-science is the world of the fourth spatial dimension, which exists in the world of mathematics, though not in the world of 'reality', makes even less sense. Today's image is a near-Julia scene along the X-axis at the eastern edge of the main bay of the (-Z)^(2.5)+C Mandeloid. It is a four-dimensional scene, since it is double- rotated 1 degree and 1 degree from the exact Julia orientation, and double rotation (around two totally perpendicular axis planes) is not possible in 3-D space. The image, with its two hemispheres, is very close to being a fractal tree. A different view might have made it a tree. But it is not quite close enough to justify a tree-like name. Even with all the image's color and all the reality and illusion talk, I could give the image a rating no higher than a 7. The calculation time of 3-1/4 minutes is within reason, though the web sites are more reasonable. For total reason, check the finished image online at: <http://www.crosscanpuzzles.com/Archives.html> A rendering in hi-def is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are at: <http://www.Nahee.com/FOTD/> Clouds, occasional showers and a cooler temperature of 63F 17C prevailed here at Fractal Central today. The fractal cats checked the conditions early, then decided to take it easy. With FL feeling a bit under the weather, the humans simply took it easy. The next FOTD will be posted in a reasonable time. Until whenever, take care, and the distance between two objects is determined by the amount of empty space between them. But empty space is nothing, so how is it possible to have more or less of nothing? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= TheGreatestMystery { ; time=0:03:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=1 periodicity=6 center-mag=0.619222/0/8.51924/1/90/0 params=89/0/\ 89/0/0.375/0/0/0/2.5/0 float=y maxiter=10000 inside=0 logmap=yes colors=000100SEDQDCOCBMBALA9J98H88F77E76C65A548447\ 33522311100x7Tt6Rq6Pn5Ok5Mg5Ld4Ja4IZ4GW3FS3DP2CM2A\ J29G17C1691460330181Q60J40D206TpiRmgQkePicOgaNe`Mc\ ZLaXK_VIYUHWSGUQFSOEQNDOLCMJBKHAIF8GE7EC6CA5A84873\ 6524312110T00P00M00J00G00C009006003gbfe`dcZbaY`_WZ\ YUYXTWVRUTQSROQPMPNLNMJLKHJIGHGEGEDECBCB9A98876754\ 53331119SD8RC8QC8PB7OB7NA7MA6L96K96J85I85H85G74F74\ E64D64C53B53A4394284273263152142131021010000tVvqTs\ oSqmRokQmiPkgOheMfcLdaKbZJ`XIYVHWTGURESPDQNCOLBLJA\ JG9HE8FC6DA5A8486364242127ai5SY3JN19BSjXQfUOcSM`QK\ YOIVMGSJEPHDLFBID9FB7C8596364132QgGKZCFQ9AH6583yPP\ vOOtNNrMMpLLnKKlKKjJJhIIfHHdGGbFF`FFZEEXDDVCCSBBQA\ AOAAM99K88I77G66E55C55A4483362241c20cN3cdMcdLccKcc\ JccJccIcbHcbHcbGcaFcaFcaEcaDc`Dm`Cm`Bm`BmZAmYAmX9m\ V9mU9mT8mS8mQ7mP7mO7mM6mL6mkHzK6zJ5zH5zG4zF4zE4zC3\ zB3zA3z82z72z61z51z31z20z } frm:SliceJulibrot5 {; 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 05-10-12 (A Third Opinion [6])
by Jim Muth 06 Oct '12

06 Oct '12

FOTD -- October 05, 2012 (Rating 6) Fractal visionaries and enthusiasts: Today's image is the third scene from the parent fractal of the FOTD of October 3, which explains the name "A Third Opinion". In today's exploration into fractal semi-chaos, we check the situation far out on the zigzag filament that extends northwest from the oversized bud of the parent. Rather than coming to a well-defined limit, this filament disintegrates into ever smaller and more disconnected pieces, ultimately becoming a twisted string of fractal bits, which finally dissipates. The minibrot in today's image lies far out on this filament. It is the last one I could find, though it is certainly not the last minibrot on the filament. Most likely there is no last minibrot. The rating of a 6 indicates that I consider the image to be a come-down from yesterday's image, which was a come-down from the day before. The calculation time of only 10 seconds (plus shipping and handling) is no mistake. The image really is that fast. But it is not available in stores. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> But wait! A high definition rendering is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The back images are posted at: <http://www.Nahee.com/FOTD/> After the early morning fog cleared off, today was really quite pleasant here at Fractal Central, with sunny skies and a temperature of 77F 25C. But it could be the last pleasant day for a while. The weather people forecast rain and much colder temperatures for the next few days. The fractal cats enjoyed the sun, forgetting the extra treats. The humans, who get all the extra treats they want, had an average day. The next FOTD fractal will be posted before too long. Until whenever, take care, and always remain fractally alert. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Third_Opinion { ; time=0:00:10.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident float=y center-mag=-1.196727555403/+2.77816601291/1351948/\ 1/177.5/0 params=1.5/0/51/0 maxiter=1750 inside=0 logmap=31 periodicity=6 colors=000MF`LD_KCWF9QIAOG8LE6H00053D62IA75HB5LG5P\ K5TP4XUAbZFicKnhPtmUyrZzvaztZzqUymPtnKnkFiaCcUAYKB\ VACSwDPmENfFKdOH`cESmBQz9YzEgzJYzNNzSNmXMc`MUeLCiL\ BhKChJDgIEgHEgGFfFGfFGeEHeDIeCIdBJdAKdAKbBM`BOmCQw\ CSwDUhDWhEYhE_hFamFcZGeZGgZHiZHjIHkJIkJIlJImJImJJn\ JJoJJoJJpIKoJJpJJpJJpJJpJJpKJpKJqKJqKJqKIqKIqLIzD5\ zC5zB5zA5z95z85z75z65zOHzeTzvcftbdrabp``n_ZlZzjYzh\ XzgXzeWzcVzaUz_TzYSzWRzUQzTQzVPzXPzYPz_Pz`PzbPzdPz\ ePzgPzhPzjPzlPzmPzoPzpPzoOzoNznMznLzmKzmJzlIzlHzlG\ zkFzkEzjDzjCziBziAzi9zf9zb9zZAzVAzRBzNBzKBzLAzRUzT\ RzUOzVLzXIzYFz_Cz`9za6z_8zYAzXCzVEzTFzSHzQJzOLzNMz\ G6zE5zC4zB3zZfQhf9hfEhfIhfMffQcfUbfSafRafQ`fP_fO_f\ NbfMd_Lf`Ki`KkaJmaJpbIrbItcHwcGwzGwzFwzFwzHtzJpzLl\ zNjzQizThzVgzYfz_ezbdzdczgbzidzgfzehzcizakz_mzYnzW\ pzUrzStzQuzOwzMwzKwzIfzMczMazNZzNWzOTzOQzPOzPTzUXz\ ZazbezgjzlnzplznjzlQzbOza } 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 04-10-12 (A Second Opinion [7])
by Jim Muth 05 Oct '12

05 Oct '12

FOTD -- October 04, 2012 (Rating 7) Fractal visionaries and enthusiasts: Today's image is another scene in yesterday's parent fractal, though instead of checking the large bud, we check the east edge of the main bay, just south of the broad peninsula that is trying, though not too successfully, to be an East Valley. The fractal patterns in this area are entirely different from those on the shore line of the large bud. Instead of loops, we see sharp-pointed, rather dark and ominous elements that would make a fitting cover for a paperback horror novel. The name "A Second Opinion" indicates that today's image is the second venture into the same parent fractal, and, as is the case with medical doctors, a second opinion sometimes brings an entirely different outlook. A rating of a 7 is entirely justified, at least in my opinion. The pattern surrounding the tiny central minibrot may be highly fractured, but it is regular enough to make a recognizable, semi-organized minibrot basin. The calculation time of 1-2/3 minutes is fast enough to leave time for fun or business. Time-saving joy may be found at the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> where the finished image is posted. Hi-def joy is online at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images are blissfully available at: <http://www.Nahee.com/FOTD/> Heavy clouds, fog and drizzle spoiled the entire morning here at Fractal Central. Some sun broke through in the afternoon, and the temperature reached 72F 22C, but by then the damage had been done and the fractal cats were in unhappy mode, demanding extra treats. The humans had another un-notable day, one that was peaceful to experience but boring to read about. The next FOTD will appear in a reasonable geologic time. Until that wondrous moment arrives, take care, and debate the debate. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= A_Second_Opinion { ; time=0:01:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.442996736165/-0.063360789746/6e+007/\ 1/-85/0 params=1.5/0/51/0 float=y maxiter=1750 inside=0 logmap=144 periodicity=6 colors=000MF`LD_KCWF9QIAOG8LE6H00053D62IA75HB5LG5P\ K5TP4XT4bX4h_4mc3rf3wj3wm3wp3wn5wl6rj7mi8hg9ceAYcB\ VbCSwDPmENfFKdOH`cESmBQz9YzEgzJYzNNzSNmXMc`MUeLCiL\ BhKChJDgIEgHEgGFfFGfFGeEHeDIeCIdBJdAKdAKbBM`BOmCQw\ CSwDUhDWhEYhE_hFamFcZGeZGgZHiZHjIHkJIkJIlJImJImJJn\ JJoJJoJJpIKoJJpJJpJJpJJpJJpKJpKJqKJqKJqKIqKIqLIzD5\ zC5zB5zA5z95z85z75z65zOHzeTzvcftbdrabp``n_ZlZzjYzh\ XzgXzeWzcVzaUz_TzYSzWRzUQzTQzVPzXPzYPz_Pz`PzbPzdPz\ ePzgPzhPzjPzlPzmPzoPzpPzoOzoNznMznLzmKzmJzlIzlHzlG\ zkFzkEzjDzjCziBziAzi9zf9zb9zZAzVAzRBzNBzKBzLAzRUzT\ RzUOzVLzXIzYFz_Cz`9za6z_8zYAzXCzVEzTFzSHzQJzOLzNMz\ G6zE5zC4zB3zZfQhf9hfEhfIhfMffQcfUbfSafRafQ`fP_fO_f\ NbfMd_Lf`Ki`KkaJmaJpbIrbItcHwcGwzGwzFwzFwzHtzJpzLl\ zNjzQizThzVgzYfz_ezbdzdczgbzidzgfzehzcizakz_mzYnzW\ pzUrzStzQuzOwzMwzKwzIfzMczMazNZzNWzOTzOQzPOzPTzUXz\ ZazbezgjzlnzplznjzlQzbOza } 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 03-10-12 (Silver Horizon [8])
by Jim Muth 03 Oct '12

03 Oct '12

FOTD -- October 03, 2012 (Rating 8) Fractal visionaries and enthusiasts: Today's scene lies in the Mandeloid fractal that results when the formula Z^(1.5)+C is iterated 1.5 levels up the logarithmic hyper-spiral with no function applied. This parent fractal resembles a Mandelbrot set with an oversized main bud on the north shore line of the main bay. Today's scene is located on the southwest shore line of this oversized bud. I rated the image at an 8 because it is one of the finer minibrot scenes I have found in the fractals with exponents between 1 and 2. Although the pattern around the minibrot is filled with discontinuities, they are arranged so that the pattern appears quite regular, with some rather attractive curly filaments extending outward from the minibrot. The unusually brilliant colors also help with the rating. I sometimes wonder whether fractals like today's are actually true fractals at all. It seems to me that the MandelbrotBC3 formula invents a new kind of math, and while using it with its various functions, I am exploring possible alternate mathemati- cal systems rather than real fractals created with accurate math. It really doesn't matter however. The images are fractals, with all the characteristics of fractals, and real or not, they can still be unusually attractive. Do not be deceived by the name "Silver Horizon". The image is not one of those fantastic fractal scenes on other planets. It is a surprisingly attractive scene of just another irregular <2 >1 minibrot. The calculation time of 2 minutes is near the fractal average. The web sites can cut the wait notably. The finished image is online at: <http://www.crosscanpuzzles.com/Archives.html> The image is posted in high-definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images are available at: <http://www.Nahee.com/FOTD/> With partly cloudy skies, a temperature of 77F 25C and high humidity, today seemed more like an early August day than an early October day. The fractal cats would have preferred more sun, but they still found enough comfort on their chair by the southwest window. Except for a midday visit by the dryer repairman, who did his job quickly, the humans had a typical day. The next FOTD will be posted at the right time. Until whenever, take care, and I get the feeling that something is wrong with the world, but I can not track it down. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Silver_Horizon { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident center-mag=+0.1154933507434394/+0.9603539171372509\ /7.500726e+008/1/-115/0 params=1.5/0/51/0 float=y maxiter=2500 inside=0 logmap=257 periodicity=6 colors=0009P07O05N03L02K02J00I00G00F00E10D20C20B52\ B85DAAFCEGEIHGNGJTGLZFOaHQcJTbLW_KZXIaTGdLOVEVL8`D\ 2e75i59l5Co5Fr5Ju5eu5ovSuz_zzzzzarzXmz3kz5ju5jr7hm\ 8hj8fe9fbAeZBeVBdSCdODbLEbIEaFFaCG_9I_7IZ3JZ2KX0LX\ 0LT0JP2GL5EJ9DFBBCE9AI87L53P31S20W10_00d00f01_2ATA\ LNGXGPdBZk7fp9jtCmzFpzJrzOuzVxzazzeuzkpOFmEDh5Ce5G\ z5Bj5AZ55W52V38S38Q37O37N35K25J25G25F23D23C35E35F3\ 7G58J59K5AL5BO5CP5DQ5ES7FV7GW7IX8J_8Ka8Lb8Nd9Of9Ph\ 9QjASmAToAVpAVrBTpCSoDQoEQmFPkGOkIOjJNhKLhLKfQKeWJ\ eZIdeIdKOaFV_B_Z7fX2mW0uV0zT0zW0xX0vZ0u_0sa0sb0re0\ pf0oh0mj1kk1km2jp2hr2fs2eu2XZ2_X1aW0dV0kT0pS0pQDmQ\ FoNKoJKoGQoDQpAXp8Xp5Xu2Xz0dz0kz0hfCzSAzV9zX9k_8kb\ 8Xe7Xh7Kj5Km53p52s51v30z30z32z9XsDXsIXsOXsTXsZXsdX\ skXsrkkxkkzkkzkkzkkzkkzkkzkkxkzxkzLkz0kz0kz0kz0kz0\ kz0kz0kz0kz0kz0kz0kz0kz0kz0zz0zz0zz0zz0zz0zz0zz0zz\ 0zzozzmzzkzzazzZzzXzzVzzS } 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 02-10-12 (Negative Territory [5])
by Jim Muth 02 Oct '12

02 Oct '12

FOTD -- October 02, 2012 (Rating 5) Fractal visionaries and enthusiasts: We appear to be in one of those slow fractal periods here at FC. Today's humdrum image is the best I could dredge up in the day's fractal search. The image is a scene in the East Valley area of a Mandelbrot set corrupted by Z^(-21)+C energies. As is true of all Mandelbrot sets corrupted by negative energies, the deep minibrots retain the Z^2+C appearance. Since there are no minibrots in fractals of pure negative orders, the minibrots in negatively corrupted M-sets have nothing to change into. Perhaps the most surprising thing in today's image is the criticality of the bailout radius, (which is 16 more than the value assigned the real(p2) parameter, or 3.3). Decreasing this value results in a blank screen; increasing it results in the image first becoming more chaotic and finally breaking up and evaporating. The rating of a 5 indicates nothing of exceptional artistic value but implies enough fractal interest to make the brief calculation time of 45 seconds worth the effort. Enjoy extra leisure time by letting someone else do the calcula- tion. View the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> And check the high definition and anti-aliasing at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The FOTD back images are posted at: <http://www.Nahee.com/FOTD/> Rain fell here at Fractal Central today. The temperature of 64F 18C was pleasant enough, but with things so wet, it was wasted. The fractal cats saw the weather, then began chasing each other up and down the long hallway. The humans had so many other things to do that they hardly noticed the rain. The next FOTD will be posted in a number of hours. Until whenever, take care, and if you wish to rule the universe, the queue is on the right. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Negative_Territory { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip center-mag=+0.3330817092270084/+0.0270745261371607\ /8.007146e+010/1/-166.25/0 params=-21/100000/-12.7\ /0 float=y maxiter=1500 inside=0 outside=real periodicity=6 mathtolerance=0.05/1 colors=000Q_pWdpaiofmogmkgmhgmegmbhm_hmXhmUhmRhmOi\ mLimIimFimCim9gnDfoGdpJcqMaqP`rSZsVYtYWu`VucYr`_pZ\ anXclUejSghQjeNlcLnaJp_GrYEtWCvUApTAjTAdTAZTATTANT\ AHTABTACVDCWGCYJCZMC`PCaSCcVDdYDf`DgcDifDjiDllDmnD\ pyGkwIfuKasMXqOSoPWhP_bPbWQfQQjJQmDKaKFRQ9GX45bE6_\ O7XX7Vf8So8QoINoSKo`IojFosDZbVJNkUZacjSmvIgtObrTXp\ YSncMlhHjmChrOW__JIYOFXSDVWAU`8Sd5Rh3Pb7OYAMTDLOG`\ QTWSe`YgabhVgjOmkHrmBwnQLZ_l0VK6RCC1JIJXOEWUAY_6ee\ 2ejCijLljUojbrjabctx0tb2ldBefKYhTRjaJljCnrFbdIRRLF\ DO30yKgxSkwZnveqvltoipifmccjY`gSYzMVzGmzAQz8RY7S_6\ Ta5Uc3Ve2Wg1Xi0Xk2Ze4_`5`W7oQ8cLAtGBeBDdFEdJFcMGcQ\ IbUJbXKazLazIIpGczDdNBez8fC6g77fN8ea9epzvDztJzrPzp\ Vzn_zlezjkRH3HVSrYMh`T_bZQddHfjdKKYPRRUYLZcEcjM7z0\ uksVzkPpdKfXFYQAOI5EB05J28Q4BX6Dd8GkAJrCLWGE9J7JUF\ TdNboU`nTZnSXnRVnQTnPRmOPmNNmMLmLKmKKkNKjQKhSKgVKe\ YKd_KbbKadK_gKZjKXlKWoKVq } 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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