January 2011 - Fractint - mailman.xmission.com

FOTD 08-01-11 (Elusive Butterfly [7])
by Jim Muth 08 Jan '11

08 Jan '11

FOTD -- January 08, 2010 (Rating 7) Fractal visionaries and enthusiasts: After several days of philosophizing, I seem to have exhausted my philosophical energies, so today's discussion will be philos- ophy free. But have no worry, with the world going as it is, my energies will soon be restored. Today's FOTD features a quintic minibrot at the center of a fractal butterfly. Since the image was a bit hard to find, I named it "Elusive Butterfly". The image is located in a valley on the northwest shore line of a tiny half-morphed minibrot on the main spike of the parent pseudo-Mandelbrot set. The rating of a 7 is what I consider satisfactory for a FOTD image. The calculation time of a brief 51 seconds will pass in what seems half that time once the outline of the butterfly comes into view. Those who would rather not calculate may see the butterfly fluttering on the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and don't forget the original web site at: <http://www.Nahee.com/FOTD/> I haven't checked the original site in several days, so who knows when it might once again be up to date. I will have my own web site up and running as soon as the currently heavy graphics work slows down enough to give time to set up the web site. About 2 inches, (5cm) of snow fell overnight here at Fractal Central, but by midday the clouds broke, leading to a partly sunny afternoon with a temperature near freezing. The fractal cats were quite satisfied with the sun, and spent the better part of the afternoon on the shelf by the window. After sweep- ing the snow from the pavement in the morning, my day was totally routine. The next FOTD will be posted in 24 hours. Until then, take care, and see a great light. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Elusive_Butterfly { ; time=0:00:51.30-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip float=y center-mag=-1.571577951264321/+0.00000063922382444\ /1.002156e+010/1/-58.5/0 params=5/500000000.0/0/0 maxiter=1250 inside=0 logmap=122 periodicity=6 colors=00001101202313423534644755865976A86C86D86F8\ 6G86I86J86L86M86O86P96R96T96U96W96X96Z97_ABaKGcSLd\ ZNedSfjXjpcpzmznPofKhZF`aHYcKVeOSgRPiVMkYJmaGodDnb\ Lm`SlZZkYegXdcWd`WdXVdUVdQUcMTcJTcFScCScJWZQ_UabLn\ hPzkVznczqozkfzgbwb`nYajVgaRlXNrTLqPIpLGoHCmDAkGEc\ JHYLLSOOMzSGzVAzfCzzDvnCrkBmgBcdAU`9KY9HV8GR7GO7GK\ 6FH5FD5FA4F74J85N95RA6VB6ZC7aC7eD7iE8mF8qG9uH9xH9p\ XJhkTazafsbjlcnfcr_dvUduWftXgsYhrZiq_jp`kpbmocnndo\ meplfqkgrkhshetecub`u_ZuYWuVUuSRuPPuNNuORsOUmOXgP`\ aPcWPfQYb`fZjoVtwSubLlIEVMFYPG_THbWHd_IgbJifJliKnm\ LqpLstMuwNuzNuyOuxPswQpwRmsclpckmck_bI_aHZaHZ`GZ_G\ Z_FYZFYZEYYEYXDYXDXWCXVCXVBXUBWUAWTAYS9_S9aR8cQ8eQ\ 7gP7iP6kO6mN5oN5qM4s6_u8Xw9VxATyBQzCOzDMzEKzGHzHFz\ IDzJAzK8zL6zFezITzKGzUuzUTzUSzURzURzUQzUPzUPzUOzUN\ zUNzUMzULzULzUKzUKzUJzUIzUIzgHzfGzdGzcFzbEzaEz`Dz_\ CzhSzeQzbOz`MzYJzVHzTFzqQ } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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FOTD 07-01-11 (Mandel in a Petri Dish [6.5])
by Jim Muth 06 Jan '11

06 Jan '11

FOTD -- January 07, 2011 (Rating 6.5) Fractal visionaries and enthusiasts: Today's image rates a 6.5. I was torn between a rating of a 6 and a 7, and the best way to settle the dilemma was to give the image a rating of 6-1/2. But unlike most fractional ratings, today's includes no bonus for the coloring, which was achieved almost entirely by the Fractint program. When I saw the image, it brought back memories of bacterial cultures in the old biology classes. The name "Mandel in a Petri Dish" seems quite appropriate. The image combines features of the Z^2 and Z^4 Mandeloids, though at the depth of the image the Z^4 features predominate. The central minibrot is filled with concentric rings of alterna- ting chaos and order; the chaotic areas are filled with smaller minibrots as well as 'antiminibrots' with peaks instead of valleys at their centers. Perhaps the best feature of the image is its relatively speedy calculation time of just over 2 minutes, which is about the time it will take to surf down to the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where the finished image is posted. The original web site at: <http://www.Nahee.com/FOTD/> is still available, and always worth a quick check. While watching the TV news during the Thursday lunch break, I saw a report of several localized showers of falling birds. No one knows the actual cause, but it appears the flocks of birds became disoriented and flew into things. The question of what caused the birds to lose their bearings remains unanswered, but in my opinion, the cause could have been the electromagnetic haze created by the current proliferation of wireless devices and the necessary cell towers to support them. It is known that some birds navigate by sensing earth's magnetic field. Perhaps the electromagnetic signals emitted by the ever- increasing number of cell towers is interfering with the birds' ability to orient themselves. If this is true however, it is unlikely the news media, which is controlled by the giant commun- ication corporations, would cover such a story. I also wonder whether the 'greenie' activists who claim to care so much about the environment would be willing to give up their wireless devices to save the birds. A final thought -- maybe the birds are like canaries in a coal mine. Maybe we should consider their deaths a warning. Yeah, yeah, I know the old mantra -- there is no solid evidence that wireless radiation is harmful. But the hints of danger are everywhere. What I want to see is solid evidence that it is safe. A mix of sun and clouds and a high temperature of freezing made Thursday another typical winter day here at Fractal Central. The fractal cats grew bored with the on-and-off sun and settled for the afternoon in the warmest places they could find. With the work up to date, my day was fair enough. And the plans for the FOTD web site here at FC are coming along. Expect an announcement in a couple weeks. The next FOTD will be posted in 24 hours, more or less. Until then, take care, and watch for scattered showers of falling birds. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= MandelInAPetriDish { ; time=0:02:07.70-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=1 center-mag=+0.3602110240053605/+0.6436979362830387\ /9.9012e+007/1/10/0 params=4/4444/0/0 float=y maxiter=1500 inside=0 logmap=100 periodicity=6 colors=000MTALUBKVBJWCIXCHYDGZDFZEE_FD`FCaGBbGAcH9\ dH8eI7eIBdJEdJHcKKcKNbKRbLUaLXaL_`Mb`Mf_Ni_NlZNoZO\ rYOvYOvWNwVMwTLxSKwQJwPJvOIvMHuLGuJFtIFsHErFDrECqC\ BpBAoAAo89n78m57l46l36g47b47Z47V57R57M58I68E68A686\ 688899AAACBCDBDFCEHDGJEHKEIMFKOGLQHMRHOTIPVJQWJSXK\ UXLWXMYXN_XOaXPcXQeXRgXSiXTkXUmXVoXWqXXsXYuXZwX_yX\ `zXazW_zWZzWYzWXzWWzWVzWUzWSzWRzWQzWPzWOzWNzWMzWKz\ WJzWIzWHzWGzWFzWEwUGuTIsSKqQMoPOmOQkNSiLUgKzdKzbKz\ `KzZKzXKzVKzTKzRKzPKzNKzOKzPKzQKzRKzSKzTUzUUzVUzWU\ zXUzYUzZUz_Uz`UzaUzbUzcUzdUzeUzfUzgUzhczicziczjczk\ czlczmczkczjcziczgczfczeczcczbczacz`czZczYczXczVcz\ UczTczRczQczPczOczYczgczqczpczocznhzmhzlhzkhzjhzih\ zhhzghzfhzfhzehzdhzchzbhzahz`hz_mzZmzYmzXmzWmzWmzV\ mzVmzUmzUmzTmzTmzSmzSmzSmzTmzmmzmmzmmzmmzmmzmmzmmz\ mmzmmzmmzmmzmmzmmzmmzmmzmmzmrzmrzmrzmrzmrzmrzmrzmr\ zmrzmrzmrzmrzmrzmrzmrzmrz } frm:FinDivBrot-2 { ; Jim Muth z=(0,0), c=pixel, a=-(real(p1)-2), esc=(real(p2)+16), b=imag(p1): z=(b)*(z*z*fn1(z^(a)+b))+c |z| < esc } END PARAMETER FILE=========================================

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Lyapunov...
by Tony (Anthony) Hanmer 06 Jan '11

06 Jan '11

I'm looking for the order number translation for the string bbbbbbaaaaaa to use in Fractint, which produces this Lyapunov fractal: http://commons.wikimedia.org/wiki/File:Lyapunov-fractal.png (It's a famous one, called Zircon City.) Any help? Thanks, Tony Hanmer

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FOTD 06-01-11 (Golden Epiphany [7])
by Jim Muth 06 Jan '11

06 Jan '11

FOTD -- January 06, 2011 (Rating 7) Fractal visionaries and enthusiasts: Today's image is finally one worth a rating of a 7, the level at which I consider a day's effort a success. The image is a scene in the Seahorse Valley area of a hypercomplex Julia set. Until now I have put very little, in fact, almost no effort into the type=hypercomplexj fractals. Perhaps I have been put off by the eight dimensions involved, but as today's image shows, with a bit of extra effort in the coloring, the hypercomplex stuff can be quite interesting. I named the image "Golden Epiphany". In the religious calendar, today is the day celebrating the arrival of the wise men from the east -- astrologers who brought their gifts to the baby in Bethlehem, recognizing him as a world savior. There is also a good bit of gold in the image, fully justifying the name. Thanks to expert programming and a 2000mhz machine, the image is a very fast one, finishing in a mere 35 seconds. The most convenient way to view the image is on the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> the original FOTD web site, not up to date, may be found at: <http://www.Nahee.com/FOTD/> The typical mix of sun and clouds prevailed here at Fractal Central on Wednesday, with a typical temperature of 34F +1C. The fractal cats would have preferred more sun, but satisfied themselves with what sun they could find. My day was near normal. The standard work was out of the way by early afternoon and nothing unexpected arrived. This left the time to dredge up today's image. During the midday break, the topic of my own FOTD web site came up. FL wondered whether she might add some positive philosophy to the daily FOTD discussions to balance what she considers the negative stuff I write. The web site will probably be up and running in a couple weeks, so I told her to go ahead and write whatever she wishes. The next FOTD will be posted in near 24 hours. Until then, take care, and what could be more negative than an eternally con- scious brain in the middle of an otherwise empty infinite space? (If it were me, I would wait for a supercomputer pre-loaded with version 2,000,000 of Super-Fractint to pop out of the vacuum beside me.) Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Golden_Epiphany { ; time=0:00:35.54-SF5 on P4-2000 reset=2004 type=hypercomplexj function=sqr center-mag=0/0/1.10375 params=-0.23117/-0.02833/0/\ 0.52/0/0 float=y maxiter=4500 inside=255 logmap=yes colors=00083673952C42F76I99LBCOEFRGIUILXLO_NRbPVeS\ YhU`kWcnZfq`itblwdozgjzifzkbzmZzoVzlYzj_zhazfczdez\ bgz`izZkzXmzVozTqz3rx5ow7mv8kvAiuCguDetFctHasI_sKY\ rMWrNUqPSqRQpSOpTPqTQqURqUSqVTrVTrWUrWVrWWsXXsXXsY\ YsYZtZ_tZ`tZ`tY`tYatYatXbtXbtXbtWctWctWduVduVeuVeu\ UeuUfuUfuUguTguTguThuShuSivSivRjvRjvRjvQkvQkvQlvPl\ vPmvPmvOmvOnwOnwNowNowNpwMpwMpwMqwLqwLrwLrwLrwKqvK\ puJotJnsJmrIlqIkpIjoHinHimHhmHhlGgkGfjGeiFdhFcgFbf\ EaeE`dE_cD_bDZaDY`CX_CWZCVYBUXBTWBSVARUART9QS9PR9O\ Q8NP8MO8LN7KM7JL7IK6IJ6HI6GH5FG5EF5DE4CD4BC4AB39A3\ 99388277266255144133122011000zuHzrGzpGznGtfGsfFreF\ reFqdFpcEocEsiEzjElaDlaDk`Dj_Di_CqbCgZCgYCfYCeXBdW\ BiWBbVBaVAaUAhUA_TAZS9YS9XR9XR9WP8VP8UO8TN8SM8RL7R\ L7QK7PJ7OI6NH6MH6MF6LF5KE5JE5IC5HB4GB4GA4FA4E94D93\ C83B73B73A6296285275264153153142031020010000000000\ 0000000000000000000000000 } END PARAMETER FILE=========================================

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FOTD 05-01-11 (Reason Prevails [6])
by Jim Muth 05 Jan '11

05 Jan '11

FOTD -- January 05, 2010 (Rating 6) Fractal visionaries and enthusiasts: Today's image is a continuation of the current series of below- standard FOTD images. The rating of a 6 is certainly nothing to get worked up about. The most unusual aspect is that the image was rendered with the outside set to 'fmod' and the inside set to the color 253. This trickery raises the everyday scene to a level marginally worthy of being declared a FOTD. The name "Reason Prevails" has nothing to do with the image. It came about when I caught myself trying to make sense of the currently faddish (at least among some thinkers) cosmological theories. The parent fractal, which was created by the expression 2.5*(Z^0.5)+0.5*(Z^2.5)+C, resembles a distorted Mandelbrot set facing northwest, with a southern period-3 bud larger than its main period-2 bud. Today's scene is located on a filament extending from the large period-3 bud, near the point where the filament terminates in an irregular open area. The shape of this open area is mirrored in the small brilliant patches scattered about today's image, which actually are open areas themselves. The calculation time of 1-1/5 minutes is quite brief, leaving no danger that half a day will have been wasted if the result is not up to expectations. The most convenient way to view the image is to hop down to the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> and view the finished product there. Paul's original FOTD web site at: <http://www.Nahee.com/FOTD/> is currently not up to date. But I am still waiting to hear from Paul, telling me that he is once again feeling well enough to start getting the site caught up. As soon as I struck the 'send' button to send off yesterday's FOTD, I wondered if I had gone too far in lambasting the disci- pline of science. Even though it certainly falls short of perfection, science is the best method we currently have of explaining the 'how' of things of the natural world, at least at the macroscopic physical level. But it seems as though the older I grow, the more I see science being mis-used. In fact, as I see people, especially the young, walking about in near trance states, totally fascinated by their latest wireless internet gadgets, I see technology gone amok. Then I wonder whether the progress of mankind is nearing a peak, beyond which we will slip into a downward curve of regression until we settle into a state of helpless zombiehood, ruled by our overlords, the elite of the giant computer and communication corporations. The good news is that we had a mix of sun and clouds here at Fractal Central on Tuesday, with a temperature of a pleasant 43F +6C. The fractal cats enjoyed the sun while it was shining, and the heat when the sun went behind a cloud. My day was success- ful enough, since I avoided a philosophical debate with FL when she casually asked what I have against science. The next FOTD will be posted in 24 hours. Until then, take care, and be on the winning side. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Reason_Prevails { ; time=0:01:12.61-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.9953029291869159/+0.2475891945519297\ /2.455e+009/1/40/0 params=2.5/0.5/0.5/2.5/0/0/0/0 float=y maxiter=1000 inside=253 proximity=0.05 outside=fmod logmap=yes periodicity=6 colors=000TbvUauV`tW_sXZrYYqZXp_Wo`VnaUmbTlcSkdRje\ QifPhgPihQjiQkiRljSmkSnlTomTpnUqoUrpVsqWtrWusXvtXw\ uYxw`zv_yvZxuYxuXwtWvtVvsUusUurTtrSsqRsqQrpPrpOqoN\ poNpnMonLomKnmJmlKmlJllIlkIkjIjjIjiIiiIihIhgIhgIgf\ IgfIfeIeeIedIdcIdcIcbIcbIbaIbaIa`J`_J`_J_ZJ_ZJZYJZ\ XJYWJYVJXUJWTJWSJVRJUQJTPJSOJRNJQMIPLHOKGNJFMIELHD\ KGCJGBIGAHG9GG8FG7EG6DG7CG7BF7AF79F79F79F79F79F8AF\ 9AEAAEAAEAAEABEABEABEABEABEACEACEACEACDACDADDADDAD\ DADDADDADDAEDAEDAECBECBECBFCBFCBFCBFCCFCCGCCGCCGBC\ GBCGBCHBDHBDHBDHBDHBDIBDIADIADIAEIAEJAEJAEJAEJAEJA\ EJAFK9FK9FK9FK9FK9FL9FL9FL9GL9GL9GM8GM8GM8GM8GM8HN\ 8HLAHN8HN8HN8HO7HO7HO7HO7HO7IP7HP7HPBHP7IP9HRCHREH\ PEHREHREHQEHREHQEHSEHTEHUFFPFFPGEPHEPHEPIEPJDPJDPK\ DPLDPLCPMCPNCPNCPOBPPBPPBPQBPRAPRAPSAPTAPT9PU9PU9P\ V9PW9PW8PX8PY8PY8PZ7P_7P_7P`7Pa6Pa6Pb6Pc6Pc5Pd5Pe5\ Pe5Pf4Pg4Pg4Ph4Przzi3Pj3P } 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 04-01-11 (Cirgle of Power [5])
by Jim Muth 04 Jan '11

04 Jan '11

FOTD -- January 04, 2011 (Rating 5) Fractal visionaries and enthusiasts: Today's scene lies in the parent fractal that comes about when 1.4 negative parts of Z^(-1.2) are combined with 0.7 negative part of Z^(-3.3) and (1/C) is added on each iteration. The magnitude of the image lies very near the limit of math precision, so it was necessary to include the 'mathtolerance' entry in the parameter file. The name "Circle of Power" came to mind when I imagined a circle of Samurai warriors surrounding and defending the central mini- brot. The minibrot is well beyond resolution, by the way. The rating of a 5 is not all that exciting, but the calculation time of under 2 minutes will keep the time that has been wasted to a minimum if the result proves disappointing. All risk of disappointment may be eliminated by viewing the finished image on the active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site may be found at: <http://www.Nahee.com/FOTD/> but it is not up to date. I read in a book that FL gave me for Christmas that we could possibly be something known as 'Boltzmann brains', disembodied objects, not necessarily resembling human brains, but with the faculty of self-awareness, floating in an infinite, empty space known as de Sitter space. We could exist in infinite numbers because of random fluctuations in the quantum vacuum, exactly as an infinity of monkeys typing random letters on typewriters would by random accident type out an infinite number of copies of 'Hamlet' every nanosecond. (And indeed, an infinity of them could very possibly be out there actually doing it right now.) Surrounded by eternal emptiness, and with no sense organs, we floating consciousnesses could be suffering sensory deprivation and hallucinating an objective universe around ourselves, filled with stars, planets and other supposedly conscious beings. It's the stuff pure fantasy is made of, ('The Matrix' film comes to mind.) yet no one knows of a sure way to totally eliminate this absurd possibility. The author of the book avoids the trap by saying that such a condition would be cognitively unstable, leaving no sensible way to think and behave. In other words, the possibility of Boltzmann brains is fully scientific, and it just possibly might be true. A surprising consequence of having an infinity of conscious units is that the unique brain state that creates my particular individual consciousness must exist an infinity of times through- out de Sitter space. Talk about megalomania! I didn't know I was that great. But I wonder who these other versions of myself are. (Maybe it's time to get back to things that make more sense, like ghosts and goblins.) Compared to this 'scientific' craziness, the existence of para- normal things such as Astrology, telepathy, fortune telling, psychokinesis, Astral planes and even ghosts of dead people, as well as the various claims of the religious mystics, are almost rational. In my opinion, our science is out of control. It has become a discipline fit to be the subject of jokes and ridicule. Apparently, no one knows anything for sure. Maybe we truly are disembodied brains, inventing the external world in our minds to prevent eternal boredom as we drift through empty space and end- less time. (But isn't this view known as solipsism?) Now on to the fractal weather. Total sunshine here at Fractal Central on Monday kept the temp- erature of 34F +1C from feeling quite as cold as it otherwise would have. The fractal cats took full advantage of the sun by spending their afternoon on the shelf in the sunniest southwest window. My day was close to average as far as the work goes, but I was in one of my more philosophical mental states, which prevented total relaxation when the work was finished. FL, being more practical than philosophical, had a more relaxing day. The next FOTD will be posted in 24 hours. Until then, take care, and wait 'till the nun signs Shelly. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Circle_of_Power { ; time=0:01:58.96-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-1.600616015104951/-3.586496457834565/\ 2.462703e+012/1/72.5/0 params=-1.4/-1.2/-0.7/-3.3/\ 0/0/0/0 float=y maxiter=1000 inside=0 logmap=225 periodicity=6 mathtolerance=0.05/1 colors=000D0FE0GF1IF2KG3LG4NI5PK6QL7SN8UP9VPAXQBZP\ C_ODYMEWKCTI9QG8NE0KD0KC0KB0KB9K7FKIGITWGmmUzwUzzz\ zwmztczrUzqKzoMzlOziQffSddUabW_`YYZ_VXaTVcRYzPWzOX\ zTQzSPzROzQOzQMzPLzOKzOZzOZzPZzPZzPZzPZzPZzPZzPZzQ\ ZzQZzQZzQZzQZzQZzQZzRZzRUzRUzRUzRUzRUzRUzSUzSUzSIz\ SIzSJzSJzSJzTJzTKzTKzTKzTKzTLzTLzULzULzUMzUMzUMlUM\ lUMlTNkTOkTPkSQjSRjSSjRTjRUiRWiQXiQYhQZhR_hS`iTajU\ bkVclWdmXenYfoZgp_hq`irajsbktckudkvelwfmxgkxgkxgkx\ gjxgjxgjxgjxgjwgiwgiwgiwgiwghwghwghwghvfhvfgvfgvfg\ vfgvfgvffvffuffuffufeufeufeufeufeufdtfdtfdtedtedte\ ctectectecsebsebsebsebsebseaseaseareare`re`rd`rd`r\ d`rd_rd_qd_qd_qd_qdZqdZqdZqdZqdYpdzpdzpdzpdzpdzpcz\ pczpczoczoczoczoczoczoczoczocznzznzznzznzznzznzznz\ znzztzzszzrzzrzzqzzpzzpzzozznzznzzmzzlzzlzzkzzjzzj\ zzizzhzzizzhzzhzzhzzgzzgzzgdzgczfczfbzfazfaze`ze`z\ e_ze_zdZzdZzdYzdXzcXzcWzc } 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 03-01-11 (Lazy-Day Fractal [4])
by Jim Muth 03 Jan '11

03 Jan '11

FOTD -- January 03, 2011 (Rating 4) Fractal visionaries and enthusiasts: Sunday was totally relaxed here at FC, and my fractal ambition was limited to finding an interesting fractal, which I did. I present it here for entertainment purposes only. No one is expected to take it seriously. The name "Lazy-Day Fractal" confirms the lack of effort. The rating of a 4 is well below average for FOTD images. Actually, there could be some pretty good sub-images in today's parent fractal. Unfortunately, I could not work up the energy to go searching for them. Luckily, the calculation time is only 1-3/4 minutes, making running the parameter file a minor task, and even this small effort may be eliminated by surfing to the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> where the finished image is posted. The original FOTD web site can be accessed at: <http://www.Nahee.com/FOTD/> But it is not yet up to date. A little rain fell Saturday night but cleared away by 11am Sunday. Lots of sun and a temperature of 45F +7C for the rest of the day kept the fractal cats stretched on their window shelf. The humans did little more than the cats did, except for a bit of speculating about what might happen for the rest of the year. The next FOTD will be posted in 24 hours. Until then, take care, and a Boltzmann brain is a self-aware unit that appears spontaneously from nowhere. No one takes their exist- ence seriously, but some of the latest cosmological theories make their existence inevitable, at least in an infinite and eternal universe at maximum entropy, a condition that our uni- verse currently seems to be destined for. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Lazy-Day_Fractal { ; time=0:01:43.92-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-0.438185/-0.626305/0.9363296/1/140/0 params=-1/-3.3/-3/-1.1/0/-75/0/0 float=y maxiter=1500 inside=253 outside=tdis periodicity=6 colors=000`RVdUYhW_lZbpadtdgwfiqYalPUgGMb7FcBLdERe\ HWfLagOggRllSaqSSvSHzS7wR9tQBqPDnOEkNGhMIeLJbKL_JN\ XIPUHQRGSOFULEVJFSIGQHHOFIMEJKDKIBKGALE9MC7NA6O85P\ 64P4FgQPyjNylMymLyoKypJyqIysHytGyuFywEyxDyyGqnIicK\ aTMVJLSGKQDJOAE`UFaUGbTHcTIdTJeTKeTOgSShSWjS_kSS`F\ KQ3YK7kEAHzETaNdEWOhHR`GUUFXNFTUNQ_UMe`JlhFroCxvDu\ tErsForFmqGjoHgnIdmIblJ_jKXiLUhLSgMPeNMdOJcOHbMK`K\ N_JQZHTYGWXEZWCaVBdU9gT8jS6mR5pQC`aJMmQ7xWCraGmgKh\ mOcjVYg`TdfO6`PBXRFTSJPU2n83mA4mC5lE6lG7kI8kJ9jLAi\ NBiPChRDhTEgVEgW`QRv9NoESiJWbO_XTcQYgKbkDgo7ls1pw2\ mr3km3ih4gd5e_5cV6aQ7_M7YH8WC9U79S3FVBLXJQZRW`Z`bf\ fdnkfuheveevbev_dvXdvUdvRdvOcwLcwIcwFbwCbw9bw7bwBc\ tFdrIepMfmQgkThiXif`jdckbgl_kmYnmWkhZicafZddVghZbk\ bZoeVriRulNskMrjLqjLpiKniJmhJlgIkgHifHhfGgeFfeFihI\ kjLnlOpnRsqUusXxu_zwarpYkiVdbRYWOQPKJIHCBD54A97DDA\ GHDILGLPINTLQXOS0AFSOrQMk } 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 02-01-11 (The Least of the Beast [6])
by Jim Muth 02 Jan '11

02 Jan '11

FOTD -- January 02, 2011 (Rating 6) Fractal visionaries and enthusiasts: Today's image is the parent fractal that results when 3 parts of Z^(-2.1) are mixed with 0.9 part of Z^(-4.2) and (1/C) is added. Actually, it is not accurate to call it a 'parent' because it has not yet produced any children. But this is no cause for alarm; the fractal is obviously filled with interesting nooks and crannies that hold infinite goodies. Perhaps the most interesting thing about the fractal is that it appears to be in 2 parts -- the chaotic low-iteration, greenish outer part and the far more organized high-iteration, brilliant- pinkish inner part. The overall impression is that the initial value of Z is not critical, though the abundance of minibrots indicates that it is indeed critical. Perhaps the generating formula has more than one critical value, but if this is so, I have yet to find the value that would clear away the overlying stuff and bring the ghostly submerged stuff to the surface. The name of the image -- "The Least of the Beast" -- originally had some meaning. Whatever it was, I have forgotten it. The rating of a 6 is above average but nothing to get excited about. The calculation time of 40 seconds makes running the included parameter file a very small chore. Those with machine problems such as incompatible operating systems, retarded vesa-impared video cards, or merely spoiled machines that panic at the sight of DOS will find their satisfaction in the form of the pre- calculated image at the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site at: <http://www.Nahee.com/FOTD/> is currently inactive, though when Paul recovers, it will be brought up to date. The first day of the new year started sunny enough here at Frac- tal Central, but clouds moved in before noon, and rain showers arrived later in the afternoon. The fractal cats approved of the temperature of 48F +9C but wished there had been more sun- light. (Actually their greatest wish is for someone to let them go into that immense forbidden area on the outside of the three doors they never get to go through.) The humans has a peaceful enough day. The new year arrived on schedule at FC and nothing much changed. The next FOTD image will be posted in 24 hours. Until then, take care, and: I never saw a Boltzmann brain, I hope I never see one, But I can tell you anyhow, I'd rather see than be one. (I'll have a lot to say about these strange creatures in a few days.) Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= TheLeastOfTheBeast { ; time=0:00:40.75-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=0.107083/0/0.6/1/90/0 params=3/-2.1/0.9\ /-4.2/0/0/0/0 float=y maxiter=22500 inside=0 logmap=yes symmetry=none periodicity=6 colors=000FEKFFKFGKFGKFHJFIIFJIFKHFKHFKHFKHFKHFLHF\ LHFMHLNGLMEMMKMMPNMUNLZPMcULhZLmcKrcKvcJzcKzcKzcLz\ cNz_dzaczbbzcazd_zeZzgYzhXziWzjUzlTzmSznRzoQzpOzrN\ zsMztLzuKzyIzwJzvJztJzsJzrJzpJzoJzmJzmJzmJzmJzmJzm\ KzmKzmKzmKzmKzmKzmKzmKzmKzmKzmKzmKzmKzmLzmLzmLzmLz\ mLzmLzmLzmLzmLzmLzmLzmLzmLzmMzmNzmOzmPzmQzmRzmSzmT\ zmUzmVzmWzmXzmYzmZzm_zm`zmazmbzmczmdzmezmezifzjfzk\ gzlgzmgznhzoizpizqizrjzsjzsjzskztkztkzulzulzulzvmz\ vmzxlzwmzvmzvmzunztnztnzsozsozrozqpzqpzpozopzoqznr\ znszmtzluzlvzkwzjxzjyzizzizzhzzgzzgzzfzzezzezzdzzd\ zzczzbzzbzzazz`zz`zz_zz_zzZzzYzzYzzXzzWzzWzzVzzVzz\ UzzTzzTzzSzzSzzTzzTzzTzzTzzUzzUzzUzzUzzVzzVzzVzzVz\ zWzzWzzWzzWzzXzzXzzXzzXzzXzzYzzYzzYzzYzzZzzZzzZzzZ\ zz_zz_zz_zz_zz`zz`zz`zz`zz_zz`zz`zz`zzazzazzazzbzz\ bzzbzzbzzczzczzczzdzzdzzdzzezzezzezzezzfzzfzzfzzgz\ zgzzgzzhzzhzzhzzhzzizzizz } 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 01-01-11 (Etched in Numbers [7])
by Jim Muth 01 Jan '11

01 Jan '11

FOTD -- January 01, 2011 (Rating 7) Fractal visionaries and enthusiasts: To kick off a new year of FOTD images, we return to the parent fractal of the fuzzy image of two days ago, which was created by the expression Z^(1.75)+C. This parent has a disconnected mini- brot lying some distance southwest of the main body. The image of two days ago is located near this minibrot. The parent also has a smaller minibrot located much closer to the northeast side of its main body. Today's image is located in a kind of valley in this smaller, closer minibrot. The name "Etched in Numbers" is true of all fractals, and has no particular significance to today's fractal. I have been searching the Mandeloids with exponents between 1 and 2 for quite a few years, in the hope that some unexpected treasure might lie hidden in one of them. So far the treasure has eluded me, but I continue searching. Who knows, one day I might find it. Today's image is hardly a treasure, but it's worth a rating of a 7, which makes the calculation time of 3 minutes almost worth the effort. The calculation may be totally done away with however by viewing the finished image on the currently active FOTD web site at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And don't forget to keep checking the original FOTD web site at: <http://www.Nahee.com/FOTD/> Friday brought thick clouds but warmer temperatures to Fractal Central. The temperature of 46F +8C was not quite warm enough for the fractal cats however, and they spent half the afternoon on the shelf over the heat. My day was pretty settled, as was FL's day also. In the afternoon I spent an hour or so on the internet, checking 'Boltzmann brains', which is just about the most ridiculous idea our over-educated scientists have come up with -- so far, that is. I'll have much to say about these hypothetical creatures lurking in outer space in future FOTD discussions. The next FOTD will be posted in 24 hours. Until then, take care, and is that a disembodied brain coming up behind you? (We cannot prove that they are not there.) Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Etched_in_Numbers { ; time=0:02:59.98-SF5 on P4-2000 reset=2004 type=formula formulafile=basicer.frm formulaname=MandelbrotBC3 function=ident passes=1 center-mag=+0.6043991509829967/+0.5801826859547423\ /1.876538e+007/1/-17.5/0 params=1.75/0/11/0 float=y maxiter=1800 inside=0 logmap=247 colors=000ACIADIAELAGNAIPAKRAMTAOVAQXAS_AUaAWcASeA\ ZgAYiAM_AUfASbAQZAOUAKQAHMADHAADA69A35B69C9CCCGDEJ\ DHMEKQENTFPXFS_GVbGYfH_iHbmIepIgsJitKjtLktMmtNntOo\ tUqtcrumsvttwzuxzvyzwzzxzzyzzzzVJqUHqUGqTErTDrSBrS\ AsR8sR7sS9qTApUCoVDmWElXGkYHiZIh_Kg`LeaNdbOccPadR`\ eS_eTZbUX_UVYUUVVSTVQQVPeNGdMJcLNaKQ`JU_HXYG`XFcWE\ gVDjRCgOBeLAbH9`E9YB8W77T46R66PI7SL8UP8WT9Y_A_hAaq\ BcpBejAbdA_YAYS9VR9SQ9QO9NN8KL8IL8FJ8CI7AH77G74G72\ IB7LEBNHGQKKTNPVQTXTYYWa_YZa_XbaVdbSfdQgfOihMkiJlk\ HnmFonDlkFihHfeIccKa`LZYNWWOTTQQQSONTLLVIIWFFYDDZG\ MUJVQMbMOcNQdNReNTfNUgOWhOXiOZiO`jPakPclPdmzznQgoz\ zpQjpzznPilzzjNiizmgMieLidKibKh`JhcIhYHhcHhVGhcFhR\ EhcEgNDfKDeHCdECcBBc8BzS9zQAzcAzcAzcBzcBzhBzKDzmEz\ SFzWGzZHzbJzfKzjLznMzqNzpOzoPzzPzzQzzQzzmzzmzzmzzz\ 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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