January 2014 - Fractint - mailman.xmission.com

FOTD 18-01-14 (Webs of Passion [A-7,M-5])
by Jim Muth 19 Jan '14

19 Jan '14

FOTD -- January 18, 2014 (Rating A-7,M-5) Fractal visionaries and enthusiasts: Today's scene lies at the upper edge of the infinitely divided main spike of its hugely oversized parent fractal, in the area just east of the main minibrot. This parent is corrupted in its depths by fractional Z^(2.5) energies, which means it must have discontinuities. The name "Webs of Passion" has nothing to do with a steamy romance novel. It refers to the eight spider-web like elements surrounding the central minibrot. These eight elements are not identical, but have subtle differences that can be noticed only after a careful inspection. The art rates a 7, since I put only a few minutes color work into the image. The math is old stuff, and rates only a 5. Perhaps the best aspect of today's FOTD is the image's fireball calculation time of a mere 45 seconds, guaranteeing that little time will have been wasted if the image brings disappointment. The web sites also can prevent a let-down. The finished image may be viewed on the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day here at Fractal Central began with 4cm of fresh snow. The snow ended by 11am and the sky cleared by 2pm, but the sun had no effect on the temperature, which fell steadily from 30F -1C at 7am to 21F -6C at 7pm. The fractal cats appeared to take a break from their hectic activity, and spent most of the day sleeping and sunning themselves. After sweeping the snow from the sidewalk, one fractal human took it easy, while the other human kept the first human supplied with hot coffee. The next FOTD will be posted in a cosmic instant, which is more like a day on the human time scale. Until whenever, take care, and in the time since I discovered that I am a Boltzmann brain, not a single thing has changed. The world still seems as real as ever, even though I now know it exists only in my disembodied brain, which is floating in infinite and eternal DeSitter space. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Webs_of_Passion { ; time=0:00:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip center-mag=-17\ 39.243792388713/+0.03731885032851018/2051621/1/178\ /0 params=2.5/1000 float=y maxiter=1200 inside=0 logmap=87 periodicity=6 colors=00000A00A00A00A00A0\ 0A00A00A00B00C00D00E00F00G00H01I02K03M04O05Q06U07Z\ 08c09h0Am0Dzzzmzc7mU5cM2UD0QL6USBYZHbeMflSjsXnzakp\ `hf_eXZcOYVVeNamFbrHcvI_zKWzLSzMOzOKzPGzQAzR0zR0zR\ 0zR0mR_cRdZNeh`e9Zg9Yj8Xl7Wo7Vq6Us6MhBFZF8AJ7EI7IH\ 7MG6QF6UF6WE5YD5_C5aC8cDAeDCeDEdDGdDIdDKdDNcDPcDRc\ DTbDVbDXbDZbDcXCgSBlNApH9uC8y78v89s9AoCFlEJiHOfJSc\ MW_O`XRdUThRWmOYqL_uR`vXawbaxhbxnbytczzczYlmZkm_jm\ `imahmagmbfmcemdemedmecmfbmgamh`mi_mi_mdVh`QdXL`TG\ WPBSL6OH2K97J2BJ6GL9LNDQPGVQJ_SNdUQiWTmX_gSeaOkWJq\ RFoPQmO_kMjiLthNqhPnhRkgTigVfgXcfZ`f`ZfbWedTefQehO\ djLdlIdmGcjKbgLbdNabP`_T`XW_UYZS_ZPaYMcXKeXKgWKiVK\ jVKkWKlXKmYKmZKh_Kh`MhaOhbQhcSmdUmeWmfYmg_mgamecmc\ emagm_iTZkWXmZVmaTmdSmgQmjOomMqpLsrOulQvfSw`VxVXyQ\ ZzKazEcz8ez3uzuuzsuzquzouzmuzluzjuzhuzfuzduzcuzauz\ _uzYuzXrzWpzWnzWlzWkzbtzbozcjzcezdazdXzdSzeNzeJze } 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 17-01-14 (Divine Revelation [A-9,M-5])
by Jim Muth 18 Jan '14

18 Jan '14

FOTD -- January 17, 2014 (Rating A-9,M-5) Fractal visionaries and enthusiasts: Yesterday's garish image shows what happens when low-order minibrots are decorated with brilliant colors. Today's subtly colored image shows what happens when the colors are kept to a minimum. Instead of the carnival-like atmosphere, we have a fractal that could be a divine vision. Being a marginally religious person, I named the image "Divine Revelation". The brilliant light in the upper left of the scene may be identified as any divine thing or person the viewer chooses. And skeptical Atheists could even consider this light to be just another feel-good delusion of the superstitious and gullible. The generating expression is Z^(1.15)+C as iterated 15 levels up the hyperladder with the 'recip' function applied. The odd value of the maxiter is actually one less than 2^(15), and was once the maxiter limit of Fractint. This large value slows down the calculation but also increases the definition of the bril- liant minibrot, which is nearly hidden in the glare and can be more clearly seen by changing its inside color to black. The art rating of a 9 is again overblown, but at least in my opinion, the image is worth the rating. The math rating of a 5 is more honest. I have been doing these very low-order minibrot images for quite a few years, and today's image brings nothing new to the world of fractal math. The calculation time of 5-1/4 minutes is true on my fireball machine. On a lesser or greater fireball, the time could be much slower or faster. As always, visiting the FOTD web sites will end all timing worries. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The clouds moved in just after sunrise today here at Fractal Central and hung overhead for the rest of the day, while the temperature of 39F +4C kept the outside conditions quite bear- able. The forecast is not so pleasant however, since we expect up to several inches, or about 8cm, of snow tonight and tomorrow. The fractal cats had a typical contented cat day. A little more sun would have made them happier however. The humans, never fully contented, once again made it through the day with nothing to bring serious discontent. The next FOTD will be posted when it is ready, but no sooner than the evening of the 18th Eastern Standard Time. Until when- ever, take care, and if the investigations of rational science stopped finding things that cause people to question their religious beliefs, quite a few people would be more content. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Divine_Revelation { ; time=0:05:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basic.frm formulaname=MandelbrotBC3 function=recip passes=1 center-mag=-1.703119592947089/+1.737103617718856/\ 5.644438e+011/1/95/0 params=1.15/0/15/0 float=y maxiter=32767 inside=255 logmap=-470 periodicity=6 mathtolerance=0.05/1 colors=00064875986A97BA8CB9DCAEDAFE9GFAKGBKHCUIDUJ\ EUIGUHIUFKUEMUGOZIQZKSZNUcPWcSYhU_hXahZchaehcghfih\ hkhjmhkohoqhqshquhtwhwwhwwhwwiwwjwwkwwlwwmwwnxxoyy\ pzzqzzrzzszztzzuzzvzzwzzxzzyzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } 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 16-01-14 (Tulip Trouble [A-9,M-5])
by Jim Muth 17 Jan '14

17 Jan '14

FOTD -- January 16, 2014 (Rating A-9,M-5) Fractal visionaries and enthusiasts: The artistic rating of today's image is a monumental 9, while the math rating is a very average 5. The reason is that I spent several hours trying to turn a nothing minibrot into something. I was only moderately successful, but to reward myself for all the work, I inflated the rating. The image, with all its disorganized and hectic colors, is actually worth more like a 7. The generating expression is Z^(1.2)+C as calculated PI levels up the hyperladder with no function applied. The parent fractal is a Mandeloid every bit as shapeless as the minibrot at the center of today's image and surrounded by a field of disconnected bits and pieces of filaments. Today's scene lies on one of the filament pieces to the west-northwest of the main body. The name "Tulip Trouble" came about when the minibrot reminded me of a tulip. The calculation time of just over 3 minutes is faster than expected for an image with a maxiter of one-million. And this time can be cut to near 2 minutes by resetting the passes to 'G'. Doing this loses only a few dots at the edge of the minibrot. An even better choice is to do away with calculation altogether and check the image on one of the web sites. The finished image is posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Total sun prevailed all day here at Fractal Central today. With little wind, the temperature of 37F +3C was quite comfortable for mid-January and the start of the coldest 30-day period of the year. The fractal cats took turns enjoying the afternoon sun on their shelf in the southwest window. The fractal humans passed the day taking down the last of the holiday decorations. The next FOTD will be posted, which is all I'm saying about the actual time it will appear. Until whenever, take care, and if high technology has given us such a great life style, why have there been around thirty school shootings in the past year? Could something in our lives be missing? Jim (the Atheist?) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Tulip_Trouble { ; time=0:03:10.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=-2.7048045746792/+1.557515314603271/\ 1.1651e+011/1/-10/0 params=1.2/0/3.14159265358979/0 float=y maxiter=1000000 inside=0 logmap=221 periodicity=6 colors=000QMKSHPRF60YKMdKKJKRIKcUKUZKUZUUcUQKUb`Uc\ TUccUTX7d_8RWC0KC0MU1Vc2MU2H83KU0NY0ZBQdWzzzyqhkgW\ __MSWDLT8CR37P316100000000041C_8TzYo7zzIzw_qpiiiYU\ VY5Am44W44W49WFIWQRWWWbbbtttzzzzzzzzzfek49Yzc7zg7k\ h7dqFbzQazzzzddzhlylaqbTiVMdOEYH7RB2N52H21C11C3BCB\ 000000000c0000426L4E_7Nt9XzBZzU1100475fG9zXJzsXzzp\ zzzzzzzzzzzqqy`avLOt9Dq66i59d5D_4GzzzzzPzzzzzzzuxz\ mttfpnZmkVngSqeNtazvZzvtz7tJPtJkzSzt7ptzVtHHtG7tL7\ zYJzaPzgVzmcTTT___dddnnnvvvzzzlzXzzAzzAzzAzzQzzAzz\ AzzUzzUzzAzzWzzWzzUzzUzzTzzTzzTzzRzzRozzmyzozzpzzp\ zzpzzrzzszzszzszzszzszzuzzuzztzzwzzvzHvzHzz7zI7yN7\ vR7vY7tb7qi6qt7rzAtzEzGzzHzzIzzIzzJzzKzzKzzLzzNzyM\ zyMyyOyyOvvPtvQtvQrvSrvSqvUpvWpvWovXov_ov_nv`nvcmt\ aktdltfltflthlthktjmtmmtmmtootmmtmmtmjqjgqjgqkeqke\ qkcqkaqkaqk_qlYqlYqlWqnWnmTnnRpqSoqQptPrvQqvPsyQsz\ OszNtzOtzNtzNszMrzKszLtzK } 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 15-01-14 (Avuncular Fractal [A-7,M-7])
by Jim Muth 16 Jan '14

16 Jan '14

FOTD -- January 15, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image is named "Avuncular Fractal", which if taken literally, would mean it relates to an uncle. Actually the name is pure nonsense, much like what some say about certain things I sometimes write. But what the heck!?! Nonsense is what makes life and fractals so interesting. The generating expression combines 11 negative parts of Z^(-1.1) with 1.1 negative parts of Z^(-11.1) before adding (1/C) on each iteration. The resulting parent fractal is a typical double negative thing consisting of four vertically stacked bays with a prominent 'fan' extending east from the origin. Curving filaments extend outward from these bays and terminate in a series of rings. Today's scene lies in the large southernmost ring. The rating of a 7 for both the art and math is not quite high enough to make the 3-minute calculation time much of a bargain. But the true bargain, with associated happiness, may be found on the web sites. Find happiness! How? By checking the finished image at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began with heavy fog here at Fractal Central. The fog cleared away by mid-morning, but clouds moved in by noon, and light rain began a couple hours later. The fractal cats were annoyed that the sun was obscured just as it was ready to shine on their window shelf. The humans, having nothing to be annoyed about, made it through the day with minimum angst. There is a 90-percent chance that next FOTD will appear in 24 hours. The chance will increase to 100 percent when it actually does appear. Until then, take care, and when I was in school we never heard of school shootings, nor did we flood the school with grief counselors when two students were killed in drunk driving accidents. We either care a lot more nowadays or our students are turning into angry wimps. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Avuncular_Fractal { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.703904359650447/-9.221842800854315/\ 3.348801e+010/1/143/0 params=-11/-1.1/-1.1/-11.1/0\ /100/0/0 float=y maxiter=1600 inside=0 logmap=190 periodicity=10 colors=00050J60I70H80G90FA0DB0CC0BD1AE29F38G47H56I\ 65K74M83O92QA6SD9UGCWJGYMJ_PM`SQ`VTaZWaaZbdbcgecjh\ emlgqoiurlxuoytrzswzrvzqszppzopzonynnxmlyllykgyjjy\ jbyiazhazgazfazeazeZxfXwgVvhSuiQtiOrjLqkJplHomEnmC\ lnAko7jp5iq3hq7gmAfiDeecdbccZccVcbRmaOm`Km_GmZCzZ9\ zYAzYAzYBzYBrYCrYCrYDrXDrXErXEmXFmXFmXGmXGmXGmWFmV\ EmUDmTDmSCmSBmRBmQAmP9mO9mO8mN7mM7mL6mK5mJ5eJ4gI3h\ H3jG2lF1mF1fM3`S5UY7Oc9HiBBoDDlEFjEGhFIeFKcFLaGN_G\ OXHQVHSTHTRIVOIWMJYKJ_IJ`FKbDKcBLe9Lg6Lh4Mj2Mk0Ml3\ Ml6Mm9MmBMnEMnHMoKMoMMpPMpSMpVMqXMq_MrbMreMsgMsjMt\ mMtpMtrMqpLnoLkmLhlLekLbiL_hLXfKUeKRdKObKLaKI_KFZK\ CYKB_KB`LAaLAbM9dM9eM8fN8hN7iO7jOUlOUmPUnPUoPUpOcq\ NcqMcrLcrLcsKhsJhtIhtIhuHhuGhvFcvFmwEmwDmxCmxCmyBm\ yAmz9mz9mzGmzMmzSzzZzzdzzjzzpzzozznzznzzmzzmzzlzzl\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:MandAutoCritInZ {; Jim Muth a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=1/f, h=1/d, j=1/(f-b), z=(((-a*b*g*h)^j)+(p4)), k=real(p3)+1, 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 15-01-14 (Avuncular Fractal [A-7,M-7])
by Jim Muth 15 Jan '14

15 Jan '14

FOTD -- January 15, 2014 (Rating A-7,M-7) Fractal visionaries and enthusiasts: Today's image is named "Avuncular Fractal", which if taken literally, would mean it relates to an uncle. Actually the name is pure nonsense, much like what some say about certain things I sometimes write. But what the heck!?! Nonsense is what makes life and fractals so interesting. The generating expression combines 11 negative parts of Z^(-1.1) with 1.1 negative parts of Z^(-11.1) before adding (1/C) on each iteration. The resulting parent fractal is a typical double negative thing consisting of four vertically stacked bays with a prominent 'fan' extending east from the origin. Curving filaments extend outward from these bays and terminate in a series of rings. Today's scene lies in the large southernmost ring. The rating of a 7 for both the art and math is not quite high enough to make the 3-minute calculation time much of a bargain. But the true bargain, with associated happiness, may be found on the web sites. Find happiness! How? By checking the finished image at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day began with heavy fog here at Fractal Central. The fog cleared away by mid-morning, but clouds moved in by noon, and light rain began a couple hours later. The fractal cats were annoyed that the sun was obscured just as it was ready to shine on their window shelf. The humans, having nothing to be annoyed about, made it through the day with minimum angst. There is a 90-percent chance that next FOTD will appear in 24 hours. The chance will increase to 100 percent when it actually does appear. Until then, take care, and when I was in school we never heard of school shootings, nor did we flood the school with grief counselors when two students were killed in drunk driving accidents. We either care a lot more nowadays or our students are turning into angry wimps. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Avuncular_Fractal { ; time=0:03:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=+1.703904359650447/-9.221842800854315/\ 3.348801e+010/1/143/0 params=-11/-1.1/-1.1/-11.1/0\ /100/0/0 float=y maxiter=1600 inside=0 logmap=190 periodicity=10 colors=00050J60I70H80G90FA0DB0CC0BD1AE29F38G47H56I\ 65K74M83O92QA6SD9UGCWJGYMJ_PM`SQ`VTaZWaaZbdbcgecjh\ emlgqoiurlxuoytrzswzrvzqszppzopzonynnxmlyllykgyjjy\ jbyiazhazgazfazeazeZxfXwgVvhSuiQtiOrjLqkJplHomEnmC\ lnAko7jp5iq3hq7gmAfiDeecdbccZccVcbRmaOm`Km_GmZCzZ9\ zYAzYAzYBzYBrYCrYCrYDrXDrXErXEmXFmXFmXGmXGmXGmWFmV\ EmUDmTDmSCmSBmRBmQAmP9mO9mO8mN7mM7mL6mK5mJ5eJ4gI3h\ H3jG2lF1mF1fM3`S5UY7Oc9HiBBoDDlEFjEGhFIeFKcFLaGN_G\ OXHQVHSTHTRIVOIWMJYKJ_IJ`FKbDKcBLe9Lg6Lh4Mj2Mk0Ml3\ Ml6Mm9MmBMnEMnHMoKMoMMpPMpSMpVMqXMq_MrbMreMsgMsjMt\ mMtpMtrMqpLnoLkmLhlLekLbiL_hLXfKUeKRdKObKLaKI_KFZK\ CYKB_KB`LAaLAbM9dM9eM8fN8hN7iO7jOUlOUmPUnPUoPUpOcq\ NcqMcrLcrLcsKhsJhtIhtIhuHhuGhvFcvFmwEmwDmxCmxCmyBm\ yAmz9mz9mzGmzMmzSzzZzzdzzjzzpzzozznzznzzmzzmzzlzzl\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:AutoCritInZ {; 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 14-01-14 (Battle in the Deep [A-8,M-8])
by Jim Muth 15 Jan '14

15 Jan '14

FOTD -- January 14, 2014 (Rating A-8,A-8) Fractal visionaries and enthusiasts: I named today's image "Battle in the Deep". It could be a picture of a squid and lobster locked in mortal combat, or more likely it could be a glimpse of what goes on in a near-Julia aspect of Seahorse Valley of the (-Z)^(1.5)+C Mandeloid. But whatever it is, the image rates an 8 both for art and math. A couple very similar images have already appeared as FOTD's several years ago, which keeps today's rating from being even higher. But don't be put off by the repeat. Today's FOTD image is certainly worth the few minutes required to set up and run the parameter file. The outer shape of two touching circles is a Julia set of 'Seahorse Valley' of the parent Mandeloid. The jagged tannish arms inside the double circle are part of the Mandeloid Seahorse Valley itself, grossly enlarged and distorted by being sliced at such an extreme angle, which is double rotated only 0.01,0.01 degree from the true Julia orientation of 90,90. The near-proportional enlargement of the Mandelbrot valley is a four-dimensional thing that happens when a shape with two extended dimensions and two small dimensions is cut by a 2-D slice at an angle very close to the plane of the two extended dimensions, and intersects this plane in only one point. It's impossible to visualize in 3-D space, where two planes must always intersect in a line and only one dimension can be stretched. The image may be seen by running the included parameter file or by visiting one or all of the FOTD web sites. The image is posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> The day here at Fractal central began with rain, which continued until mid-afternoon, leading to a cloudy evening with a temperature of 45F +7C. The new fractal cat Jasmine, who is now looking more like a cat and less like a kitten, is getting more attention from old fractal cat Nicholas, who is starting to notice that she will soon be a lady cat. The fractal people have known this for several months. Their concern is more about work and the current world problems. The next in the near endless series of FOTD fractals will soon be posted, with many more FOTD's still in the pipeline. Until whenever, take care, and the world apparently makes sense only on the human scale. When we start to grapple with the extremely large or small, nothing makes sense at all. Maybe the mystics and New-Agers are right and everything really is an illusion. Jim (I'm a Boltzmann brain) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Battle_in_the_Deep { ; time=0:02:00.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot5 passes=t center-mag=-0.288401/0/1.25 params=89.99/0/89.99/\ 75/-0.74074/0.00399/0/0/1.5/0 float=y maxiter=1500 inside=0 outside=tdis periodicity=0 sound=off colors=000A0mA0mA0mA1mB2mC4mD7mEAmFDmGGmHJmIMmJPmL\ SnNVoPXlRYjT_gVadXcbZe_`gXbiVdkSfmPhnNjoKloIjjHifG\ hbFgZEfVDeRCcNBbJAaF9`B8_77Z37TC8NK8HS9C_9GXDKVGOT\ JSRNWPQ_NTcLWaNV_PVYRUWTUUVTSXTQZTO`SMbSKdRIfRGhQE\ jQCwJDqNDkQEfTE`WFWZFQaRHeNJdJKdFLdCMc8Nc4Oc1Pcf06\ a9AXHDSPGIVDKWFMWHOXJPXLRYNTYOVZQWZSYZU__Wa_Xb`Zd`\ `fabhadQq`yqfqieiaecP_bRabTcbVeaXgaZiZaia`jc_jeZjg\ YjiXjkWjmVjoUjqTjsSjuRjwQjyQjvPktPkrPkoPkmPkkPkiPk\ fPldPlbPl_PlYPlWPlOXmRTlUPlXLk_HkdBkaEkZHkWKkTNkQP\ kNSkKVkHYkE_kBbk8ek5hkhE4gC3fA1f90cB2`C4ZE6WF8TH9R\ IBOKDMLFJNGGOIEQKBRM9SNEULJVKNWJSXIXZH`_Ge`FiaEkbH\ mbKnbNpcQqcTscWtcYpdWmeVjfUggSihRkiQliPmjNnkMolLom\ JpnIpoHqoGqnJqnMpnPonSnnVmnYkn`tncynfzjizfdvb_sZWq\ VRoQNmLIkGEhB9d65YCCcIJnOQkUWjVEhSQdRNZJTUMTTQYZMg\ cJc_GdWDeSAfP8fL5gH2hE0hJ3eN5bS7_W9X_CUdERhGOlIMjL\ QiOThRWgU_eWbdZecaibdlafo } 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 13-01-14 (Popcorn Eruption [A-8,M-7])
by Jim Muth 15 Jan '14

15 Jan '14

FOTD -- January 13, 2014 (Rating A-8,M-7) Fractal visionaries and enthusiasts: Today's parent fractal is an oversized Mandelbrot set corrupted in its depths by Z^(2.5) energies. And as a quick glance will reveal, the corruption is not limited to the depths. The main spike of the parent is infinitely fractured, which has a great effect on the minibrots strung along it. Today's image lies not far beyond the largest minibrot on the spike, in the chaos between two totally separated smaller minibrots that once were a single minibrot. The actual location is very close to the negative X-axis. The fractional part of the exponent of Z means the image must have discontinuities, though they are quite subdued. The most obvious one extends out from the central minibrot and heads just east of north. This discontinuity breaks the symmetry of the pattern around the minibrot, which merely adds interest to the overall scene. The name "Popcorn Eruption" was inspired by the popcorn-like elements in the four major lobes of the pattern. This popcorn earned the art a rating of an 8. The extra stub near the discontinuity earned the math a rating of a 7. The calculation time of a fireball 40 seconds will prevent boredom from arising once the task of setting up the parameter file is completed. Checking the finished image on the web sites will eliminate even this task. The image is posted at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> A mix of clouds and sun made today reasonably pleasant here at Fractal Central. The temperature of 45F +7C actually felt mild for the season. The fractal cats had an average day just like the humans enjoyed. The next FOTD will certainly be posted, though the exact time is still in question. Until whenever, take care, and I'm not sure if I am a progressive conservative or a conservative progressive . . . . or is there a difference? One thing I do know however is that, despite being considered an Atheist, I do believe in a conscious creative energy. Jim (never discuss politics or religion) Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Popcorn_Eruption { ; time=0:00:40.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip center-mag=-186.1208162632915/+0.00000165249515351\ /7.491976e+008/1/-162.5/0 params=2.5/100 float=y maxiter=2500 inside=0 logmap=102 periodicity=6 colors=000bPjaQj`Ti_VhZXgYZgX`gWbgVdgUfgTigSlgRngQ\ qgPsgOteOtcNtaUt`ZuZcuXcuWcuUcvShvRmvPzzzuovzjJmZG\ cNDUBAK08E8LFGYMNjLLhLJfLHdKFbKD`JCZIAXF8VF6TD4RA2\ P51OB7KHCGMICNN8OT4OY1NZ6NZANZENZJNZNNZRM_WM__M_cM\ _hM_lM_p_p7z4Fx8HwCJvGLuJMtNOsRQrUSqYToaVndXmhZll_\ koajsciwehzfgxgfvgetherhdphcniblibjiahj`fj`ej_beZ_\ aYYYXVUWTPVQLUOHTLDSJ9UMDVOHWRKXTOYWRZYV_`Y`baaedb\ ghcjkdloeorfqvgsyepldm`bjOagC`d0KkB4rL7sO9sRBtTDtW\ FtZIu`KucMueOvhQvkTwmVwpXwsZxu`xxbxzdageFQVNZKVgNW\ ePXdSXcUYbWZaZZ``__b`Ye`XgaWibVlbUncTpcSmcXkc`hcdf\ chdcllcUjmSimQhmOgmMemKdmIcmGbmEamHarKarMarParRarU\ arXarZaraazzbzzbzzbzzbzzbzzbzzbzzmszmtzmuzmozzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzrzztzzuzmssmttmutmvumwumxvm\ yvzzwzzwzzxzzxzzyzzyzzxzzxzzwzzwzzvzzvzzuzzuzztzzt\ zzszzszzszzkzzczzWzzOzzGzz8zz0zz2zz3zz5zz6zz7zz9zz\ AzzCzzDzzEzzFzzFzzGzzGzzD } 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 12-01-14 (Hexapentabrot [A-7,M-6])
by Jim Muth 12 Jan '14

12 Jan '14

FOTD -- January 12, 2014 (Rating A-7,M-6) Fractal visionaries and enthusiasts: Today's scene lies on the largest filament extending from the period-4 bud on the northeast shore line of the main bay of the large minibrot on the main spike of its parent Mandelbrot set, which is corrupted by Z^6 energies. The scene lies very near the point where the filament changes from an apparent broad area of chaos to a thin jagged single line. I named the image "Hexapentabrot" to point out that Z^6 Mandeloids come with only 5 large buds surrounding the central bay, when intuition would say there should be 6 buds to match the rings of 6 elements farther out, such as the Julia sets have. The art rates a 7, as least as I see it, while the math checks in at a 6. The math trick is not exactly new. The calculation time of 1-1/2 minutes will almost fly by. But it might be safer to remain on the ground by checking the image on the web sites. The finished image is online at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Lots of clouds but a relatively mild temperature of 39F +4C made today quite unremarkable here at Fractal Central. The fractal cats had nothing to say about the outside conditions, though they did speak out when their food was too slow in coming. The fractal humans spent time discussing a few of the conspiracy theories presently circulating on the internet. The next FOTD will be posted in the right time. Until whenever, take care, and why is it so important that everyone believes in global warming when so very few are ready to make the financial sacrifices needed to slow it? Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Hexapentabrot { ; time=0:01:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip periodicity=6 center-mag=-104.9372340850264/+0.8277172921039455/\ 1e+009/1/-81.25/0 params=6/60 float=y maxiter=1500 passes=1 inside=0 logmap=150 mathtolerance=0.05/1 colors=000JOKJPKKQKKRKKSKKTKKUKJVKIWKHXKGYKFZKE_LD\ `MCaNBbOAcP9dQ8eR7fS6gT5hU4gV4fW4eX3eY3dZ3c_2b`2ba\ 2ab1`c1_e1_g0Zi0Yk0Ym4_i8`fCacGb_KcXOdUSeRWfN_gKdh\ HhiEljApk7sl4vj1uh3te4sb5sY6rU7qR8kN9fJA`FB_BC_8DU\ CGOAJN9MI8OG7O900700000EAKSFTeKVeNPfPKURFIS6PQ5VO4\ cM3mK2rU1wU0sU1mM2iP2dS3`U3YX4U_4Rb5Od5Ui7_n8es9kw\ AlqBlkCleCl_DmUEmOEmIFmCGm6GgU8aq1Vk7PfDJaJDXP7SVB\ VYEY_I_aLbcPefSghWjjZllbooerqitslwuoywgut_qrSmpKin\ DelCblB_lmNsUnHDd`Df_ChYCkXCmVCpUCrSCuRCwPCyOExQFx\ RHxTIxUJxWLzX7zG6zJ5zM5zP4zR3zU3zX2z_`kjckifmiirif\ wjcwkawlZwlXvmUunjtzmszoszqszsszuszwszutzttzrtzqtz\ puznuzmuzluzkuzkuzkuzjtzjtzitzitzhtThtThtUgtUgsVfs\ VfsWfsWesXesXdsYdsYdrYcrZcrZbr_br_br`ar`aqa`qa`qb`\ qb_qc_qcZqcZqdYpdYpeYpeXpfXpfWpgWpgWohVohVoiUoiUoi\ UojTojTokSnkSnlSnlRnmRnmQnnQnnUmcUm`Um`Um`Um`Um`Um\ `UmaUmaUmaUmaUmaUmaUmbUmb } 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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(no subject)
by info＠hotmail.com 12 Jan '14

12 Jan '14

-- ---------------------------------------------------------------- Este mensaje ha sido enviado desde https://webmail.unav.es

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FOTD 11-01-14 (Festival of Lights [A-8,M-6])
by Jim Muth 11 Jan '14

11 Jan '14

FOTD -- January 11, 2014 (Rating A-8,M-6) Fractal visionaries and enthusiasts: Today's image lies in a scepter on the west side of the north branch of Scepter Valley of its oversized parent Mandelbrot set, which is corrupted in its depths by Z^7 energies. At a depth of over 10^11, this is about as deep as we can go, at least with the comparatively fast standard math routine of DOS Fractint. At this deep level the Z^7 energies have taken over almost completely, though the quadratic element is still visible in the ring of 14 (7x2) pinkish blocks surrounding the order-7 minibrot, which for mathematical reasons has only 6 lobes. The name "Festival of lights" refers to the brilliant white lights hanging on the tips of several curved arms radiating from the center. These lights are completely whimsical. The art rating is a lofty 8. I gave myself a one-point bonus for the coloring, most of which came automatically with a stroke of the enter key. The math rating is an average 6. The calculation time of 1-3/4 minutes is brief enough to prevent the more impatient fractalists from becoming restless. And the web sites can make things even better. Fractal calculation may be avoided completely by viewing the finished image on the FOTD web sites at: <http://www.crosscanpuzzles.com/Archives.html> <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> <http://www.Nahee.com/FOTD/> <http://user.xmission.com/~legalize/fractals/fotd/about.html> Perfectly miserable weather prevailed here at Fractal Central today. The day began with fog and a misty drizzle that froze in spots on the still cold pavements. The temperature warmed in the afternoon, but the rain grew much heavier, with the threat of ice jams on the frozen rivers. The fractal cats had a pleasant day however, at least as far as we humans could tell. The next FOTD will be posted in the near future, and I would not be surprised if it were in 24 hours. Until whenever, take care, and never reduce God to the level of a mere human by giving Him the attributes of mere humans, such as anger and retribution or forgiveness and reward. Jim Muth jimmuth(a)earthlink.net START PARAMETER FILE======================================= Festival_of_Lights { ; time=0:01:45.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MultiExp function=recip inside=0 center-mag=-87.64457984849923/+1.511163957189901/\ 1.404e+011/1/80/0 params=7/70 float=y maxiter=3000 logmap=314 periodicity=6 mathtolerance=0.05/1 colors=000zzzzzz0AE09D08C07B06A0590480370260150040\ 03002001001000000000000000000000ZUFSOCLI9EC67636LR\ 5IO4GL4EIzzz29C279146023qQwkNpeKi_HcUEXOBQI8KC5D62\ 66xj5pd4hZ3aT3UN2MH1FB075pH6ZB4H52UMIRKGPIFNGDKFCI\ DBGB9DA8B86965654432211eOHXJDPEAG96843tQzqPsoOrmNq\ iMpgLoeKnbJmZImVGhSEcOCZLAUH9PE7KA5F73A315bzz_qzYn\ zVkzTgzQczOZzLUzJQvHNrEJmCGh9Dc79U46K23A7L06J06I05\ H05F04E04D03B03A0390270260150130020010LbHJZFHVDFSC\ DOABL99H77E65A4373131fR4aO3YL3UI2PG2LD2HA1C8185042\ 06VyeAfb9c_8`Y8YV7WS6TQ6QN5OL5LI4IF3GD3DA2A7185152\ 02QKzA7KwszhezUSzFEz2Oz1Kz1Gz1Cz08zQ4DY8EdCFkGFlMD\ mRBnW9o`7pe5o`6oX7nS7nO8mJ9mF9jMBhSDeZFcdH`kJZmKXm\ QWmVUm`TmeRmkQmpPmuKmpGmkBmf7maUzzUzzUzzUzzUzzUzzU\ zzUzzczzczzczzczzczzczzczzczzmzvmzumtumzumzumzumzs\ mzqmzomznqzltzjwzixzkxzlyzmyznyzpzzqzzrzzsyzpyzmxz\ jxzgozhfziYzjHzXFzXCzWAzW } 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========================================= t 07:10 PM 1/10/14 -0500, you wrote: > >FOTD -- January 10, 2014 (Rating A-7,M-7) > >Fractal visionaries and enthusiasts: > >Today's image lies in the northern branch of the Seahorse Valley >of an oversized Mandelbrot set corrupted in its depths by Z^9 >energies. It lies at a depth where ninth-order elements predomi- >nate close to the minibrots, while quadratic elements prevail >farther out, and the in-between areas are a confused but interes- >ting mix of Z^2 and Z^9 elements, but with no discontinuities. > >The image abounds with smaller order-9 minibrots, the most >obvious of which lie at the upper left and lower right edges of >the scene. I checked these minibrots and found them much the >same as the large one in today's image, though somewhat more >chaotic. > >The name of the image is paradoxical. I named it "Image With No >Name" because I could think of nothing better. But this still >identifies the image, so I guess it's up to the wise philoso- >phers and logicians to decide if the image actually has a name. > >The art and math both rate a 7, which is good enough but leaves >plenty room for improvement. The calculation time of 4 minutes >is slow however, and could give impatience a chance to arise. >The web sites can eliminate this threat. > >The completely calculated image is available online at: > > <http://www.crosscanpuzzles.com/Archives.html> > ><http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> > > <http://www.Nahee.com/FOTD/> > > <http://user.xmission.com/~legalize/fractals/fotd/about.html> > >Two inches (5cm) of snow fell overnight here at Fractal Central, >but ended before daybreak. The rest of the day was cloudy with >a temperature of 36F +2C. The fractal cats noticed the fresh >cat footprints in the new snow, then settled down for a day of >tussling, eating and sleeping. The fractal humans were happy to >have made it through another day and week. > >The next FOTD will be posted in either one or two days, depen- >ding on how much of an antiquing expedition happens tomorrow. >Until whenever, take care, and I wonder why the existence of >global warming has become such a big political debate. The >earth certainly is getting warmer. It has been for thousands >of years, and there is nothing we can do to stop it by passing >meaningless laws. > >For some strange reason, I suspect that a potential transfer of >money is involved. > > >Jim Muth >jimmuth(a)earthlink.net > > >START PARAMETER FILE======================================= > >Image_With_No_Name { ; time=0:04:00.00 SF5 at 2000MHZ > reset=2004 type=formula formulafile=basicer.frm > formulaname=MultiExp function=recip inside=0 > center-mag=-74.83193719158429/+7.494763709824741/\ > 7.2e+009/1/-22/0 params=9/100 float=y maxiter=3000 > logmap=524 periodicity=6 mathtolerance=0.05/1 > colors=333BjUBjUBkVBmWAoYAqYBrXCrWDrUFtUHtUItTKvSN\ > vRQvRRxRUxQWxPYzO`zNczMdzLazK_zJYzJYzIYxHXtGXrMZpV\ > `mc`jkbizbhzbexbdxbbvbbvaatabtaarabrabqbdqeeofdmgf\ > mhfkjhkkjjnkkqklrmntmnvnoznozlnxikzggtcdr``qWZoTWm\ > OTjMRhJOgHMeEKcCHbBG`9E_9DV9CT9BQABOBBMBAHB9EA8C97\ > EA7GA7HB7KC7MD7OE7QF7TE7VD7YC7`C8cB8eA8cA9`9AX8CT7\ > FO5KK5PH6SE6TD6UD7VC7XB7YC8`B8bA8cA8eB9gA9hA9bB9XC\ > ASDBNFDKGGGHGFKJCNM9PP8NQ8LS8KT8IT8IU8HV8EKFEMHFPK\ > HSNHUQIXUJ_WMcTQgQSjMTmIXrG_vEczDdzCixDXoHSgOM_VJV\ > gGRmFRmEQkHRkLSjOSjUUhYUhaUgeUgKVoCYx`F9cFCgHGjHKm\ > IOqITrIXHNXILRJKOKKKLIINGFPFERFHUEMWERYFZ_GcbHgeIm\ > eqlZggVagTdgQggzzzzkozmhqmcmmYcmTIcPHcOHcNJcMIcLIc\ > LIcLIcKJ_LJcKKhLKjKJkKJmKJmKIoKIqLHrLHrK_jKScKOcLK\ > bMGeMDjNmmPmkSmmVmqZmtdmxhmzknzqxzxzzzxzxuztzzqzzn\ > zzizzfzzczzazzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ > zzzzzzzzzzzzzzzzzzzzzzzzz } > >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========================================= > > > >_______________________________________________ >Fractint mailing list >Fractint(a)mailman.xmission.com >http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint >

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