October 2005 - Fractint - mailman.xmission.com

FOTD 13-10-05 (Mandel Variation-2 [NONE])
by Jim Muth 13 Oct '05

13 Oct '05

FOTD -- October 13, 2005 (Rating NONE) Fractal visionaries and enthusiasts: I gave today's image no rating. I could not rate it because I made no effort at all to color it. The image's color palette is the Fractint default palette, which was designed for technical but not artistic value. I chose this default palette because the entire point of today's image is mathematical. Today's formula, which is named "MytestAGnew", has nothing to do with a former governor of Maryland and U.S. vice-president. It is a newer version of the 'MytestAG' formula. Of course, its newness is a relative term, since it was written quite a few years ago. The newer version adds two changeable and basically useless parameters to the earlier version. It turned out that the additional parameters do nothing that could not have been done with the two parameters of the earlier version, so the newer version fell into immediate neglect. But I resurrected it today to create a most unusual variation of the Mandelbrot set. I named today's image "Mandel Variation-2", since it is the second variation of the series. The image multiplies the imaginary square root of 2 by itself to come up, not surprisingly, with real 2. The result, also not surprisingly, is the Mandelbrot set. I'm not really sure where the extra stuff comes from. Most likely it is the result of mathematical imprecision. In yesterday's FOTD I stated that today's image would be most unusual. So what is so unusual about a Mandelbrot set with a few extra circular disks scattered about? It is the nature of those disks. Every disk has a dot at its center. But those dots are not simple dots, they are the Julia sets of the area of the M-set in which they lie. And even more unusual, those Julia sets are filled with disks with dots at the center, and those smaller dots also turn out to be Julia sets with disks at their centers. Like the holy hermit on the mountaintop said to the seeker of truth, it's disks all the way down. As if this were not enough, the borders between the iteration bands have broadened into narrow open lanes, with bits and pieces of something else showing through. The closer to the M-set itself we search, the more detailed the stuff showing through the cracks becomes. It is especially detailed around the mini Julia sets at the centers of the disks. There almost seems to be another fractal hidden below the surface M-set, but there also seems to be no way to bring this second fractal to the surface. All we can do is see hints of the buried fractal and say, oh my! There can be no complaints about the 4-second time required to render today's image. The only complaints might come from those with new-fangled computers that can zip around the internet in the wink of an eye but cannot run a simple DOS-based fractal generating program. But these complaints can be eliminated by a quick visit to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the image is posted ready for download. A bit of sun managed to break through in the middle of the day, on Wednesday here at Fractal Central, making the yard just pleasant enough for the cats to venture outdoors for an hour or so. They ended the day peacefully if not satisfied. But it rained overnight, and this morning is starting chilly, cloudy and drizzly. The cats usually complain about this kind of weather. For me, the day coming up appears to be about average. The next FOTD will appear on schedule in 24 hours. Until then, take care, and look to the fractal side of things. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandel_Variation-2 { ; time=0:00:04.67--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=MytestAGnew center-mag=-0.5/0/0.7 params=1.414213562373/1/1/1.414213562373 float=y maxiter=100 inside=0 logmap=yes symmetry=xaxis colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzz\ zLzzz000555888BBBEEEHHHKKKOOOSSSWWW___ccchhhmmmsss\ zzz00zG0zV0zj0zz0zz0jz0Vz0Gz00zG0zV0zj0zz0jz0Vz0Gz\ 00z00zG0zV0zj0zz0jz0Vz0GzVVzbVzjVzrVzzVzzVrzVjzVbz\ VVzbVzjVzrVzzVrzVjzVbzVVzVVzbVzjVzrVzzVrzVjzVbzhhz\ lhzqhzuhzzhzzhuzhqzhlzhhzlhzqhzuhzzhuzhqzhlzhhzhhz\ lhzqhzuhzzhuzhqzhlz00S70SE0SL0SS0SS0LS0ES07S00S70S\ E0SL0SS0LS0ES07S00S00S70SE0SL0SS0LS0ES07SEESHESLES\ OESSESSEOSELSEHSEESHESLESOESSEOSELSEHSEESEESHESLES\ OESSEOSELSEHSKKSMKSOKSQKSSKSSKQSKOSKMSKKSMKSOKSQKS\ SKQSKOSKMSKKSKKSMKSOKSQKSSKQSKOSKMS00G40G80GC0GG0G\ G0CG08G04G00G40G80GC0GG0CG08G04G00G00G40G80GC0GG0C\ G08G04G88GA8GC8GE8GG8GG8EG8CG8AG88GA8GC8GE8GG8EG8C\ G8AG88G88GA8GC8GE8GG8EG8CG8AGBBGCBGDBGFBGGBGGBFGBD\ GBCGBBGCBGDBGFBGGBFGBDGBCGBBGBBGCBGDBGFBGGBFGBDGBC\ G000000000000000000000000 } frm:MytestAGnew {; Jim Muth z=c=pixel, a=flip(real(p1)), b=flip(imag(p1)), d=real(p2), f=imag(p2): z=(d*(z^a))^(f*(-b))+c, |z|<=100 } END PARAMETER FILE=========================================

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FOTD 12-10-05 (Purple at Midnight [5])
by Jim Muth 12 Oct '05

12 Oct '05

FOTD -- October 12, 2005 (Rating 5) Fractal visionaries and enthusiasts: Today's resurrected formula is named MytestAH. It is a very simple formula which combines positive and negative exponents of the same absolute value before adding C. Z is initialized at 1 because this is the critical point of functions of this type. The formula draws some very twisted Mandeloids, especially when complex or imaginary exponents are used. I think I used this formula to create interesting midgets before I developed the MandelbrotMix4 formula. In today's image the exponent has been set to 1.0001, a value which is surprisingly close to unity, yet still creates a fractal. I have not checked to see how much closer to unity the exponent value could be set before the fractal nature vanishes. I named today's image "Purple at Midnight". The name is based entirely on the deep purple color palette. And yes, a simple "Purple Midnight" would have been a more poetic name, but I wanted to be different. Actually, even the midnight effect is questionable, and could be missed entirely when viewed on overly bright monitors. The rating of a 5 seems about right for the image. The same effect is easily achievable with the M-Mix4 formula, and I have already posted several FOTD images that looked much the same as today's. Though today's formula does little that is really new, the old formula I have chosen for tomorrow's FOTD is one of the most surprising of all time. Be sure not to miss it. Today's image is quite a bit on the slow side, rendering as it does in 1 hour and 14 minutes. But relief is always nearby on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> where the finished image has been or soon will be posted, ready for viewing. Heavy clouds, wet ground, occasional showers and a temperature of 63F 17C kept the fractal cats confined to the house all day Tuesday here at Fractal Central. But due to their excessive sleepiness, their complaints were at a minimum. Today is start- ing cloudy again. The ground is still very wet, so I doubt that things will be any better. I plan on a relaxing day. Unfortunately, my plans do not always work out. One thing near certain however is the appearance of the next FOTD in 24 hours. Until then, take care, and know that we have our being in a great fractal. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Purple_at_Midnight { ; time=1:14:09.12--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=MytestAH passes=1 center-mag=-0.10008703297023210/+0.095850930075443\ 39/1.950575e+008/1/175/-2.10031613975814047e-008 params=1.0001/0 float=y maxiter=150000 bailout=9 inside=0 outside=atan periodicity=10 colors=000agU`iV_kWZmWYoXXqYWsYVuZUw_Uy_Vx`Ww`WwaX\ vaXubYubYtbZtcZsc_rd_rd`qe`qeapebofbofcngcngdmhdlh\ elhekifkifjjgijgikhhkhhkgglgglggmggmgfmffnffnffnff\ ofeofeoeepeepeepedqedqddrddrdcrdcsdcsdcscctcbtcbtc\ bucbucbua`s`_rZZqYXpXWoVVnUUmTSlRRjQQiPOhNNgMMfKLe\ JJdIIcGHaFF`EE_CDZBCYAAX89W78V67U8AWADXCGYEJZGM`IP\ aKSbMVcOYdQ_fSbgUehWhiYkj_nlaqmctnewogypcwk_vfWuaT\ sYPrTLqOIoKEnFAmA7l68k79k89j9AjABjBBiCCiDDiEDhFEhF\ FhGFgHGgIHgJHfKIfLJfMJeNKeNLeOLdPMdQNdRNcSOcTPcUPb\ VQbVRbWRaXSaYTaZT`_U``V`aV_bW_cX_cXZdYZeZZfZYg_Yh`\ Yi`XjaXkbXkbWlcWmdWndVoeVpfVqfUrgUsgUshVrhVrhWqhWq\ hWqhXphXphYohYoiYoiZniZniZni_mi_mi`li`li`liakjakjb\ jjbjjbjjcijcijcijdhjdhjegkegkegkffkffkgekgekgekhdk\ hdkhdhfbfdadb`b`_`ZZZXYWWXUUWSSVQQUOOTMMSKKRHJQFHP\ DFOBDN9BM79L58K8AMABODDPFERIGSKHUMIWPKXRLZUN_WOaYP\ c`RdbSfeUggVi`L_cPcfSfiWj } frm:MytestAH {; Jim Muth z=1, c=pixel: z=z^p1+z^(-p1)+c, |z|<=100 } END PARAMETER FILE=========================================

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FOTD 11-10-05 (Mandel Variation-1 [7])
by Jim Muth 11 Oct '05

11 Oct '05

FOTD -- October 11, 2005 (Rating 7) Fractal visionaries and enthusiasts: The topic of politics just will not go away. While paying the phone bill yesterday, fractal lady wondered aloud whether she should check the box that would add a dollar to the bill to be used to help teach the children to read. I reminded her that three months ago when we paid the taxes, about one-thousand dollars of the total went to support the city schools that are supposed to teach children to read, and if one-thousand dollars from every tax-payer were not enough to eliminate illiteracy, I doubted that one more dollar from us would help. I guess this proves I'm a non-caring right-wing extremist. Oh well, on to the fractals. At least fractals are non-political. I enjoy doing variations of the Mandelbrot set, and today's old retired formula, which for some reason I named "MytestAG", does a very interesting and unexpected variation. When I wrote the formula I must have been thinking of the fact that an imaginary number multiplied by an imaginary number gives a real number, so in the formula I raised Z to an imaginary power, then raised the result to a second imaginary power to see what kind of real- number fractals would result. Since 2 raised to the power of 1 equals 2, it is not surprising that the Mandelbrot set appears in today's image. What is sur- prising is all the extra decorative stuff that has mysteriously appeared in the M-set. Our old friend has become a Christmas- tree set, decorated with infinite arcs and rings. Its basic shape is still there but all the fine details have been oblitera- ted by the spurious stuff that has appeared. Even more surpris- ing is the fact that these arcs and circles continue unchanged as deep as one decides to search. Of course, in the world of fractals, nothing should be considered truly surprising. The iterated line in today's formula is z=(z^a)^(-b)+c. When I saw this, I wondered why I wrote -b instead of b. After all, I could get the same result by writing the even simpler expression z=(z^a)^(b)+c, and entering -1 instead of 1 as the value of b. Before writing today's parameter file, I made this slight change to the formula, fully expecting no change in the image. But the image did change. It was a small change but a change indeed. This leads me to suspect that much if not all of today's image is an artifact of math imprecision. Switching the changeable parameters also makes a change in the image, which would also seem to indicate that the image is an artifact. But artifact or not, it is a worthy image that rates a 7. I named the image "Mandel Variation-1". The extra 1 was added to the name just in case I decide to investigate other varia- tions, which at the present time I do not expect to do. The render time of 12 seconds is about as fast as a fractal can be. On the most advanced 'state-of-the-art' units, the image, if it runs at all, will likely be completed before the video switches to the chosen mode. Those with handicapped units that choke when the word 'Fractint' is mentioned may see the festive Mandelbrot set by downloading the finished image from the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The cloudy, coolish and wet conditions prevailed all day Monday here at the center of the fractal world. The cats dwelling at the center were notably unhappy. Tippy was so unhappy that he leaped into the refrigerator when I opened the door for an after- noon snack, and almost got himself shut in. Thomas slept on the window shelf most all day. Today is starting cloudy with light rain about. The rain is due to continue, so the cats' bad mood will likely continue also. For me it looks like a rather busy day in store. The next FOTD will appear in 24 hours. Until then, take care, and regardless of where one travels, he always finds himself at the apparent center of the universe. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Mandel_Variation-1 { ; time=0:00:12.24--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=MytestAG center-mag=-0.5/0/0.6296 params=2/1 float=y outside=tdis maxiter=255 inside=0 logmap=2 symmetry=xaxis periodicity=10 colors=000GRUDCWWbN_TJcJFgACkGInLOqRTtWZwadzfir_lj\ TobMrfVmicilleoualsXjqThoOfnKdlFbjB`i7ri2rh6rgArfE\ reIrdMrdPtfOvhOwjNylNznNqlMiIEhLGhOHaVJV`KOgLHmMb`\ EwO7xS6xW5x_4yc3yg2yk1yn1mj4ag6Rd9FaB4ZDIdIViMgoRt\ tVvlJwd7vbCuaHu_LtZQsXVsWZrUcrTgveozqwwmctjLqg2neA\ lcIjaPg_XeYdcWk_PfWIbSBYP4UXHOdUIlfDfgHahLXiPSjTNk\ XIl`DmcFf_H`XJUTLOQNHMPBJXHGcMDkSArX8iSA`NCSJDb50Y\ BFWEEVGETJESLERNDPQDOSDNUDIZUDcj8gzHgoPgeYgVegLdbN\ cZPcURbQTaLVaHX`CZ`8_V9YP9WK9UEAS8AQ3APBF_JKjROtL_\ lGkeRjXajOljFjdPhZZfTheOrgPqhPqiPpjQpkQolQomQopPer\ OWuNMwMDqOGlQJfSMaUOWWRRYUM_WRWZVS`ZPcbLefHhjEjkDi\ lCimBhnAho9gp8gq7fq7fhDh_IjRNkLVdGbZAjS5rM0yG1qH2j\ I3cJ4XJ5PK6IL7BM74MX4Yu4ikN5BwSCqVDkYEf`F`cGVfGQiF\ WlE`nDfqCksBqvBvxqWGmSIjOKgKMdGO`CQY8SV4US1VVD`XOf\ Z_l`jrDKXLKRTKL`KGhKAoK5y9ZyCVyFRyHNyKJyNFyPBpTMhX\ W``eTdoLgyKfrKfkKfdKfYKfS } frm:MytestAG {; Jim Muth z=c=pixel, a=flip(real(p1)), b=flip(imag(p1)): z=(z^a)^(-b)+c, |z|<=100 } END PARAMETER FILE=========================================

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Re: Muth Zoom #2
by JackOfTradeZ 10 Oct '05

10 Oct '05

Sheeesh folks! It was just an impulsive off-the-cuff comment I threw in at the last second. Didn't intend to start a political firestorm here! BTW, I'm the type of person who would have done well in the late 19th century American West, so whatever "wing" that makes me it is. Any comments about the animation? I have zoomed in deeper, there is a nice mini-brot just after E+26, so if I continue on this will classify as a "Universe" viddie! Problem is, I have to up the iteration count to resolve the terminal Brot, and that changes the appearance and colors, so I gotta play with it ... JoTz .

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FOTD 10-10-05 (Fractal Bits [4])
by Jim Muth 10 Oct '05

10 Oct '05

FOTD -- October 10, 2005 (Rating 4) Fractal visionaries and enthusiasts: Today's old formula turned up in an old file dated December 1998. As is usually the case with these old formulas, I have no idea what I was trying to accomplish when I wrote it. Most likely, I was simply doing random things to see what would happen. The formula combines Z^n and (-Z)^n, a combination that has no effect when 'n' is an integer, but does strange things when 'n' has a fractional value, such as the 1.05 of today's image. I named the image "Fractal Bits" when I noticed the bits and pieces that fill the frame. There is a definite 2-way symmetry in the scene, but I doubt that a midget of order 1.05 lies at the center of symmetry. The feeling is more one of an endless spiral. The rating of a 4 indicates that I do not think too much of the image, which has no real center of attention. An endless string of images like this are probably why the formula was discarded. The render time of under 4 minutes is mercifully short. But the time it will take to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the finished image from there is even shorter. Heavy clouds, sopping wet ground and chilly temperatures erased all thoughts of an enjoyable day in the yard from the minds of the fractal cats on Sunday. Yes, cats do have minds. They have minds that work better than the minds of some of my customers. The cats satisfied themselves as best as possible with the tuna treat. Several of my customers are never satisfied with what I give them. Today is starting cloudy, chilly and drizzly -- a rather unplea- sant combination. But at least it's a minor holiday and there is not too much to be done. The next FOTD will appear as it almost always does in 24 hours. Until then, take care, and just think about it. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Fractal_Bits { ; time=0:03:41.30--SF5 on a P200 reset=2004 type=formula formulafile=plusmin.frm formulaname=MandelPMnew passes=1 center-mag=+0.31897491392801590/+0.075633906576199\ 80/951466.7 params=8/1.05/0/0/0/0 float=y maxiter=500 inside=0 logmap=56 periodicity=10 colors=000coNZkLUhKPeJKaIFZGCWFDSEDPDDMBEIAEF9EC8E\ 97DCACFDBIFALI9OK9RN8UQ7XS6_V5bX4e_4ha7fb9dcBbdD`e\ FZfHXgJVhLThKUeKVcJW`JXZJYWIZUI_RI`PHaNHbKGcIGdFGe\ DFfAFg8Fg6V_CiSIxKOuQTsVYq_bnegljljopinmhmkhmiglgf\ kdfkbej`ejZdiWchUchSbgQafNafL`eJ`eHdiTgmckqontzlrx\ jqvhotgnsemqckobjn`ilZgjYfiWdgUceTbdR`bP_`OZ_NbXMf\ VMiTQkSTlRWmQZnQaoPdpOgqOiqQkqRirTgrVerXdrZbr``rbZ\ rdYreWrgUriSrkRrmProNrqMrrUaa`LLg55bDEYLMUSUP_bLfj\ GnrCuzBrvBpsBnpBkmAijAggAddAba9`Z9YW9WT9UQWvQVrOVn\ NVjMUfLUbKUZJUVITSHTOGTKFTGESCDS8CS4BS1AP49N69L89J\ A9HC8FE8DG8BI88E0vn1wlIxjZyhnpemhbl`_kSXjKUiCRi8`h\ 5jg2tf8peEldKhcQdbW`a`Y`VRXPLTKEPE8L92I82G72E62C52\ A528Ou_SvWVwTS5oaAljEjYTpLgu9vzAeqAQhAA`FEbJHdOKeS\ NgXQi`TjeWliZmjTnjNokHpkBqk6qj5lj5hi4ci4_i3Vh3Rh2M\ g2Ig1Dg19aA7XJ6RS4M`3Gi1Bq0Am3Ai69f89bB8ZE8WG7SJ7O\ M6LO6HR5DU5AW46ZQoKKoLFoM } frm:MandelPMnew {; Jim Muth z=p2+10^(-100), c=pixel+(p3) a=real(p1)+1, b=imag(p1): z=a*((-z)^b+z^b)+c, |z| <= 250 } END PARAMETER FILE=========================================

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Re: Muth ZooM #2
by Jim Muth 10 Oct '05

10 Oct '05

At 12:44 AM 10/9/05 -0600, JackOfTradeZ wrote: >His [my own] politix appears 2B way left of me, >but noone's perfect. This is most curious. How far right do you see yourself? Fractal lady considers me a right-wing extremist and you see me as being way too far to the left. Jim M.

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FOTD 09-10-05 (Prayer Wheel [6])
by Jim Muth 09 Oct '05

09 Oct '05

FOTD -- October 09, 2005 (Rating 6) Fractal visionaries and enthusiasts: In the middle ages the politically powerful Catholic Church sold indulgences. By purchasing an indulgence with earthly money, bereaved relatives could buy their loved one's way out of purga- tory and end the soul's suffering. This required the ridiculous assumption that God's favor could be bought with money, but from what I read, the indulgence business, along with obligatory contributions, under penalty of hell-fire, kept the churches and monasteries going rather well. Other religions have similar short cuts to spiritual success. Buddhists had prayer wheels, which worked much like the Catholic indulgences once did. Instead of spending hours saying the proper prayers, a devout Buddhist needed only to spin the right prayer wheel, and the prayer recorded on that wheel would be sent to the creative higher power, which in this case is not considered a supreme superman-like being. For some strange reason, today's image reminds me of a Buddhist prayer wheel. The formula that did the deed is named 'Mytest09'. It appears to have been written around the same time I wrote yesterday's 'Mytest07' formula, and like that formula, the purpose of today's formula, if any, is a mystery. But mysterious or not, today's formula, with its two changeable functions, creates a large variety of fractals. The one active function I used in today's image is called 'cosxx'. (The 'ident' function acts as no function.) Don't try looking up cosxx in a math book because it will not be there. The function is actually a mistake that was made in an early version of Fractint and was kept in the program because it creates some interesting fractals. Today's image was rendered with the outside set to 'tdis', though there is very little to distinguish this rendering from the outside=iter version. The rating of a 6 seems appropriate for today's effort. And the render time of only 9+ seconds can hardly be beat. It will take several times as long to go to the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and download the completed image from there. But for those with Fractint deprived computers, this might be the only way to view the scene. The rain fell heavily all day Saturday here at Fractal Central, adding up to something over 7-1/2 inches, 190mm, and creating much local flooding, including the Fractal Central basement, which boasts a brand-new puddle of water. I guess we can blame it on the farmers, who for several months have been praying so hard for rain. Now that their crops are lost, God has finally sent the rain. In fact, He has sent so much rain that in addi- tion to losing their crops, some farmers have lost their homes as well. I guess you just can't win when bargaining with a god who, as the nuns told me in school, works in mysterious ways. The fractal cats have far more important things than God to concern themselves with. Their yard looks like a frog pond, and it will be several days before it dries out enough to be stepped on by sensitive cat paws. They are not about ready to start praying, but their mood is as dismal as a swamp, and they are demanding all the extra tuna I can give them. Tuna can do only so much for disgruntled cats however, and better weather will be needed before they are once again themselves. Unfortunately, better weather does not seem to be near. Today is starting very cloudy with showers forecast, and in addition it is much cooler. It looks like a bum day coming up for the duo. For me it looks like another average day. The next FOTD will appear in 24 hours. Until then, take care, and get your vectors straight. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Prayer_Wheel { ; time=0:00:09.69--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=Mytest09 function=ident/cosxx center-mag=-0.529901/-0.0707615/0.181739/0.6708 params=3/0/1/1/-1/0 float=y maxiter=95 inside=0 outside=tdis periodicity=0 colors=000zhI9JHOG6IPBGbp14g7JUn7N`LJS_CNTcNYXDP7D\ SADVDj9waGlUMaLSRn1`8F3AM8CSCDZSDWM4Qaac1P`9GewFcl\ EaaD_Rp0_bCTQNM7dXA`OGeHFbGE_GX8iQH_JQQ2Qs5Si8U_BW\ QRQMNSKKUJGWHwo1_f9r2cdDWROOps7bkAQdDoW3WXAdsoRhYS\ BcNJWIRO8LIEIqB3qCJZU6LPDJXPFMCF6Ob4Xc2ec0mcB`VLPN\ VDFApQ0PCsqtqswpuzbmjXcVQeVImEGiFFeFEaGTT7LWCysn`h\ XNNBKQDITEFWFxeEJjhJ8sHFiGL_ESQIaZF_PPz7LpAHfD7ErA\ OZl2AcACVIDMQFXcqfgX45u9K`8`5WsghOtYSfNVTq4VqcP4VT\ 9XMwmTkiP_eMOaJSpOOkMKfKGaIvMw_SaOl6IdBS6x6OVoYceY\ YWYSMYMjX8UYCZMcTPYOSSIVMBP`M4FHJGVNMPRKJVIxn3`eAz\ cJiaIT_HVBMMNJtGteMfRSTSJ1KR9hGuTP`IuCFiE2iv5fk8c`\ B`QmeQGHHFNGETGlUW`WQPXLcLgVQYMUPg42_C6SJ9KRD8rdBg\ SkaRvyEaQaPURLncIhWFbOkvPbNNWQLQTJJWH`eUCkzDgnDdbD\ `RtNxZTaeHYYMTRQPKUKFIcEOWDTOIkYGfSEaMhXkD1fX_XNZO\ IV24zF9kGSn4f4vSJ`ph2fe6Xb9N_D1ni7eVT1GPAGLIGHQG4r\ o7lf9gYBbPTcnL`Xil6TdB8ku } frm:Mytest09 {; Jim Muth z=fn1(pixel), a=real(p3), b=imag(p3), c=a+(b*pixel): z=(((z^p1)*fn2(z))^p2)^(-p2)+c, |z|<=100 } END PARAMETER FILE=========================================

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Re: Muth ZooM #2
by JackOfTradeZ 09 Oct '05

09 Oct '05

MuthZooM #2 cominatcha! A Journey from the base Mandelbrot to Jim Muth's FOTD for 9/16/05 at E+21. It is the one shown here: http://home.att.net/~Fractals_3/FotD_05-09-16.html Direct link 4 the file: http://www.fractal-animation.net/muthzoom2_7.zip I chose to do this one cause it's deep enuf 2B interesting, and I like the philo-fractal comments there. However, his politix appears 2B way left of me, but noone's perfect. CYa JoTz .

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Jim, Here is a zoom into your FoTD Oct 8, '05
by Hal Lane 08 Oct '05

08 Oct '05

########################################################### Jim, Here is a zoom into your Oct 8, '05 FoTD with the Leather Gem color map by Damascena Korwen. It shows infinitely many gradually smaller copies of part of the central portion of the figure in your FoTD. You created a nice little formula. START PARAMETER FILE======================================= All_Mixed_Up_3 { ; Hal Lane Oct 8,'05 4:55 P400 1024x768 ; Zoom of Jim Muth's FoTD Oct 8, '05 ; Rotated Leather Gem color map by ; Damascena Korwen. reset=2004 type=formula formulafile=pastengo.par formulaname=mytest07 passes=1 center-mag=0.221543/0.901663/24.47337/1/90/3.8857805861\ 8804789e-016 params=3/0/0/1/2/1 float=y maxiter=1000 inside=bof61 outside=real periodicity=10 sound=off colors=YD0931A00<3>VK0_P0dU0<3>zm0<3>zb0z_0zX0zU0<3>`F0\ UC0O80H40<2>A4773A73C<3>56K47M48O39Q2AS<8>9QaASbATc<3>E\ `hFbiGdi<3>JklKmmJkj<8>BSOAQM9OJ<2>6GB5E86G9<9>EWHFYIGZ\ J<2>JdMKfNLhM<6>enBhoAkp8<3>wt1<6>Zf8Vd9SbA<3>DVF<4>CPC\ CNBCMA<2>BI9BH8BH8<3>AE79D6DE6<3>UI9YJAaLBeMCgODjQF<3>n\ XFoZGp`GqbGrcGseG<11>hQ7gP6fO6<3>bI2aH1`F0<2>ZD0YD0WC0<\ 8>N50M40L30<2>I10I10J20<13>TA2TA2UB2UB2VC2<3>YE3<3>Q82O\ 61M41<3>Q71R81S91fM5<3>iO5jP5kQ6<15>I10 } frm:Mytest07 {; Jim Muth z=pixel, a=real(p2), b=imag(p2), c=b*(pixel): z=(((z^p1)*(z+a))^p3)^(-p3)+c, |z|<=100 } END PARAMETER FILE========================================= - Hal Lane ######################### # hallane(a)earthlink.net # ######################### ########################################################### -- No virus found in this outgoing message. Checked by AVG Anti-Virus. Version: 7.0.344 / Virus Database: 267.11.13/124 - Release Date: 10/7/05

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FOTD 08-10-05 (All Mixed Up [6])
by Jim Muth 08 Oct '05

08 Oct '05

FOTD -- October 08, 2005 (Rating 6) Fractal visionaries and enthusiasts: The formula I resurrected for today is named 'Mytest07'. As is the case with almost all these old formulas, I have no idea what I was trying to do when I wrote it. Most likely I was simply playing with numbers. But the formula does make fractals, and today's image is part of one of the more interesting fractals it created during the hour or so I worked with it. I named the image "All Mixed Up". On the surface it resembles a circular comb, but this is not the reason for the name. The image becomes mixed up when a full outzoom is done. Instead of being surrounded by other features resembling circular combs, the image is surrounded by -- well, do the outzoom and see what it is surrounded by. These unexpected surroundings are why I gave the image its name. The rating of a 6 is only slightly above average, but it is all I could honestly do for the image. The good news is that the image renders in only one minute. Better news is that the fully rendered GIF image is available for imminent download on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Steady rain kept the fractal cats confined to quarters all day Friday here at Fractal Central, but they took their confinement stoically, and satisfied themselves with an extra treat of tuna in the afternoon. This morning is starting with continued heavy rain. Over 5 inches, 125mm, has already fallen and it is still raining heavily, which will make the day no better for the duo. For me it looks like just another average day coming up. The next FOTD will appear in 24 hours. Until then, take care, and get your fractals in a row. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= All_Mixed_Up { ; time=0:01:05.04--SF5 on a P200 reset=2004 type=formula formulafile=jim.frm formulaname=Mytest07 passes=1 center-mag=0.0533504/0.0177928/0.5627897 params=3/0/0/1/2/1 float=y maxiter=1000 inside=bof61 outside=real periodicity=10 colors=000cU0LmzuW2oJHZ3PU8R_CT000Tib`__hQXKUjJXnX\ agif`vkUeQVQ4W2sP5rU7qYApaCoeFniHmmJmqIfnI`kIUhHOf\ HHcHB`H5ZN7YS8YX9YbBYgCYlDYqEYIq0LaLONeQ8yMLlJX_Fh\ NCtBJmJQfQW_XbTdhMkoFru8ynCxgGw`KwUNvNRuGVu9Zt3atS\ otcYg7E4MFD`GMSD8cFKuNasKZqIXrcMqYPpSRoMTg46j8FmCN\ Y0uc6liBcHf0Q_8ZTGgMO_JbeI_jHXsWSqOUK5ES8J_BNgER2B\ CFbsSVjcNbTcnZYidSdjM_0fsQTfOdoVYiaSdhM_gxQilSkaTm\ RUc77fADiCJlEP73XM8W`CVArRVZTGC4YEIU6udBgqSzHYtQTm\ ZPggK`7aYURWG5jP8fYBbfEZWoizAltDcieplTesjUq_VpQVmu\ 6n`JOqcByZWbXCqjEwpRhhcUagGUXBMfERPBIWDMbEPiFSYcMf\ SReR8iNGlJOFiGPaKYVOfNSQHLZGPgGS0w8QaKzh_Xq6cdFiSN\ FTxYMir38pAKb_KhPmkMfmJ`PaVbRVdB9hDHlFO9WqKSkVOeeK\ _dgohYhlPaC3r`WAdSGhOLlKQGwtPlmYagfR`1SYRMWCW0QQBb\ LLxzjunfsbbqRZx2uu6ns9gqD`p`ZoUXoNWYpBbfGfYLkPQXIQ\ 8dMJYPUSRdMTdDAN1PV5Ra9ShDUn`1oQGj68mBK4NbKK__IX72\ oU9dYX8fOKKAwSCo_DhgFa3yb } frm:Mytest07 {; Jim Muth z=pixel, a=real(p2), b=imag(p2), c=b*(pixel): z=(((z^p1)*(z+a))^p3)^(-p3)+c, |z|<=100 } END PARAMETER FILE=========================================

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