November 2011 - Fractint - mailman.xmission.com

Critical Strips
by Mike Frazier 05 Nov '11

05 Nov '11

I have done a lot of exploring in Jim Muth's MandAutoCritInZ formula. Part of the fun is never knowing what you will find. The mixing of the exponents causes the fractal to have a totally different look than the individual z power components. I found this fractal by zooming into noisy areas. The formula is z = 0.9 z^16 - 0.8 z^4 + pixel. Here is a link to a webpage with this image and several more from the same area. http://www.fracton.org/fmlposts/critical_strips.html The parameter file for the main image is: critical_strips { ; Exported from Fracton. ; time = 2 sec at 640 x 480 reset=2004 type=formula formulafile=fracton.frm formulaname=MandAutoCritInZ function=ident float=y center-mag=-0.667988478404261/5.264282226562566e-0\ 9/910222233.5999999/1/0/0 params=0.9/16/-0.8/4/0/0/0/0/0/0 maxiter=2000 inside=0 periodicity=6 colors=000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O\ 40C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40\ C10000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C1\ 0000C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C100\ 00C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000\ C10O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C1\ 0O40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O\ 40ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40\ ZA0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA\ 0hI0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0h\ I0oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0\ oS0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS\ 0ua0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0u\ a0ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0\ ym0zy0ym0ua0oS0hI0ZA0O40C10000C10O40ZA0hI0oS0ua0ym\ 0zy0ym0ua0oS0hI0ZA0O40C10 } 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 } -- Mike Frazier www.fracton.org

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FOTD 05-11-11 (Where is the Symmetry? [8])
by Jim Muth 05 Nov '11

05 Nov '11

FOTD -- November 05, 2011 (Rating 8) Fractal visionaries and enthusiasts: To find quadratic minibrots lurking in fractals, the first step is to look for areas of two-way symmetry. But some fractals defy this rule. Today's image has no symmetry at all around the largest and obviously quadratic minibrot. To find it I simply toggled in and out of color mode on the previous screen and checked the tiny blinking points that indicate minibrots. The lack of symmetry surrounding the large minibrot does not hold for the smaller ones that dot the image however. These smaller minibrots are surrounded by the symmetry expected of a proper quadratic minibrot. The minibrots in the image are curiously arranged so that they appear to lie only within the brilliant yellow areas, which are actually broken bits and pieces of filaments. Minibrots do exist within the blue and pink-colored areas on the left however, but as tomorrow's FOTD will show, they lie at a considerably greater depth. The parent fractal was created by combining 0.75 negative parts of Z^(sqrt2) and Z^(-sqrt2), then adding (1/C). This parent is a grossly oversized thing, mostly a network of zigzagging filaments shaped like an arrowhead, with Mandelbrot bits and pieces scattered throughout. Today's scene is located close to the negative X-axis. I named the image "Where is the Symmetry?", which refers to the pattern around the largest minibrot. The parameter file has insufficient space to include the question mark. The rating of an 8 is about what I consider the image to be worth. The calculation time of 2-1/4 minutes will pass quickly once the brilliant colors appear at the top of the screen. All the hassle connected with calculating fractal images from parameter files may be eliminated by visiting the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> and viewing the completed image there. The razor-sharp high-definition version is posted at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And the original, now classic, FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Crystal blue skies, a brisk temperature of 50F 10C and copper leaves falling from the trees made today a fine one here at Fractal Central. The fractal cats were intrigued by the falling leaves, which they might have mistaken for passing birds. The humans had an average day. FL is still a bit out of sorts from the local influenza bug, which caused us to cut short the regular Saturday afternoon antiquing trip. The next FOTD will be posted in 24 hours. Until then, take care, and keep posted. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= WhereIsTheSymmetry { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=allinone.frm formulaname=MandAutoCritInZ function=recip passes=1 center-mag=-1.845750542/+0.000320033/17403/1/-145/0 params=-0.75/-1.4142/-0.75/1.4142/0/0/0/0 float=y maxiter=1200 inside=0 logmap=80 periodicity=10 colors=000zmozlnzkmzjlzikzhjzgizfhzegydfxcewbdvacu\ `bt_asZ`rY_qXZpWYoVXnUWmTVlSUkRTjQSiPRhOQgNPcMOaLN\ _KMYOSWUWWYaUagSglQlrQrxOuzMszKqzQozKmzGkzAiz7gz1e\ z1cx0at0Yo0Sl0Mg0Ic0C_08W07a07e07l07o07t07z07z07z0\ 7z0Az0Kz1Uz1cz3mz3mz3hz5cz5Zz7Uz7Pz7Kz8Fz8AzA5zA0z\ A0zC0zE0zE0zG0xI0rI0nK0gK0aM0WO1QO5MQ7GS8ASA5UC0UE\ 0YC0_C0aC0eC0gC0iC0nA0oA0rA0vA0xA0zA0zE0zA0z80z70x\ 50x31v17v0At0Gt0Kl8ScK_YWgQioKvxCzz1zz7zzAzzEzxIzo\ MziQzaUzWYzOazGezAiz3nz0rz0tz0vz0vz0xz0xz0zz0zz0zz\ 3zz5zz8zzCzzEzzIzzMzxOzvSzvYzvUzvSxvQrvOivKcvIYvGS\ vEKvAEv88v70t03v5QxElxOKt7Uo8clAlgAvcCz_EzUIzWEzYA\ z_7za5zc1zc0ze0zg0zi0zl0zl0tQ0W70000800M8IYSelnzxz\ zvzztzzrvzrnzoizneznazlYziUzgQzgMveMrcMmcMh_KccUZc\ UUcUUcUUcUUcUUcUUcUUcUZcUZcUc0cz0cz0cz0cz0mz0mz0mz\ 0mz0mz0zz0zz0zz0zz0zz0zz3zzCzzMzzWzzezzozzzzzzzzzz\ 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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I am a hero.. in #
by Sebastien helie 05 Nov '11

05 Nov '11

Euphoria begin================================ I find another way to get to 0.707106.... and it different after 6 number expect. Euphoria end==================================

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FOTD 04-11-11 (Out of the Ordinary [7.5])
by Jim Muth 04 Nov '11

04 Nov '11

FOTD -- November 04, 2011 (Rating 7.5) Fractal visionaries and enthusiasts: Today's image is a scene in the same parent fractal as yesterday's, located not too far from yesterday's image. But while yesterday's image somewhat resembles a Julia set, today's resembles nothing that I have ever before seen. The name "Out of the Ordinary" refers to the uniqueness of the fractal 'object' in the image. The overlapping circular rings in the image are obviously order-101 stuff. The entire 'object' itself however is neither quadratic nor order-101. A bit more exploration in this area would probably bring a little sense to the scene. It's unfortunate that I lack the time, but there are an infinity of infinite fractals to be investigated and only a limited time remaining. (Or is there all eternity?) Perhaps the most unusual feature of the image is the location of the bands with the least iteration count, which instead of being located along the edges of the frame are found in the small brilliant yellow spot near the center. I sometimes question thinking of fractal patterns as 'objects', since they have no physical reality. But then, despite the disagreement of rational materialists, physical reality itself is kind of an illusion, since all we will ever know of it, if it exists at all, is through a series of subjective mental images created by our five (or more) senses. And a kind of 'reality' does exist in the world of fractals. When different fractalists observe the Mandelbrot set, they certainly observe a picture of the same 'something'. The rating of a 7.5 includes the usual half-point bonus for the coloring, which took over a half-hour. The calculation time of 2-1/4 minutes is relatively brief, and should bring no impatience. Calculation may be avoided by viewing the finished image on the FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> The high-definition version is available at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site may be accessed at: <http://www.Nahee.com/FOTD/> Today's weather here at Fractal Central was quite normal and therefore not very spectacular. The mostly sunny skies and temperature of 52F 11C drew not a single comment. The fractal cats, who never comment on the weather no matter how unpleasant it might be, spent the day ckecking the new scratching post that arrived today. Nicholas took first scratches, but Cassie laid first claims to the top platform. The humans spent the day cleaning up the week's shrinking amount of commercial work. The next FOTD will be posted in 24 hours. Until then, take care, and if metaphysical things are so unreal, how is it possible for us to see actual pictures of fractals on the screen. Jim (The world is made of numbers!) Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Out_of_the_Ordnary { ; time=0:02:15.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=t center-mag=-0.1622475778240012/+1.035247050994429/\ 1.030582e+010/1/60/0 params=101/1e+175/0/0 float=y maxiter=1750 inside=0 logmap=-200 periodicity=6 mathtolerance=0.05/1 colors=000zz0ttxppwmmuhhsccqU_oSXmRUkSRjTOjULjVIjW\ GjXEjYGeXIfVKfTMfROgPQgNSgLUgJWgIYgHZgMXhRWiVUj_Tk\ aRkbQmaPk`Oi_NgZMeYLbXK_WKWVKRUKNTKNRKNQJNOJOMJOKJ\ PIJQIKRJKRKLSLLTMMUMMUQR_UWbY`f`dhdiphnvlszowzpuzp\ tzpszpqzqpzqozqmvqlrqkrrgjsdbsaWpYUnUSlQQjNPhJNeFL\ cCKa8I_4Gb1Fe0RhAbkKYnUTo_PpcPnfUldZiccgahd`cbZr_Y\ vXWzVVzSTzQSzNQzLPzMRzMSzMTzMUvPRrRPmUMhWKcZI_`FXc\ D_eBbdFZcJWbNTYRUUUVSUWPUYMU_KUaHUcGTeFSgDVcCY_4oD\ 5mG6kI7iL8gN9ePAcSBaUrBfcKbPSZvdXjbWZaWN`W0Hu2Kq3M\ n5Pk6Rh7Td9WaAYZ8H49OEAUNU_4Q_9N_EK_IH_NE_SbeZYdYT\ cYPbXKaXF`WYfAMbLnWBVYMAB7BFBBIEBLHBOKBRNBUQBXTtEZ\ dMYQTXSKGOOKLRNHUQEXTLdfJcdHbbGa`E`ZC_X9buAaoA`jB`\ eB_`PHBNKELNHJQKHSNFVQDYTHr7FnCEjHDfMCbRqA_hGZ_LYS\ QXJVWsrWjnWajWTfWKbWoYeaZaO_ZylJrjLlhNegO_eQUcSNbT\ H`Vhn8akDVhIOeNHbSS5NJTAJBUHGVFLVEQWCVWvQIZVPq_dk_\ bf_a`_`W__R_ZL_YG_Xm2E9hf } 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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Re: [Fractint] Two Mand
by Jim Muth 04 Nov '11

04 Nov '11

At 08:45 AM 11/3/11 -0600, Mike Frazier wrote: >I did have one question I wanted to ask about your >formula. I am guessing the auto crit part is the >z = (((-a*b*g*h)^j) + p4. It isn't obvious to me >what that does. Is there a simple explanation? Mike: Yes, The this part of of the MandAutoCritInZ formula automatically sets initial Z to a critical (stationary) point of the generating function, which is a point where the function has no derivative and the minibrots it produces will be intact. The (p4) part of initial Z was originally intended to reset Z to other critical points, but I almost never use this ability, since it is difficult to find other critical points by hand calculation or the graphic method. The formula does not work perfectly, sometimes only limited parts of the resulting fractals actually appear critical, but in most cases it works well enough to produce some fine fractal images. JIM

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Another rat under credit
by Sebastien helie 04 Nov '11

04 Nov '11

Seeking in holy hole, i find the Ciceron full with is Anabase, Oedipe king and the l'iliad from Homere! in french herb for sure cause you know english, you just got Neitzche right... Be pleasant if you love him be french if you don't!.a old certanity like 'be holy little poverty for ever' .. Be average is: you know a pytagorician prostitute under Borland ANsi system who do not pray else than: black eggs, like lick english. it probably another of those gif...T to who it may concerne... Since their is not concerne about intuition i will keep them secret until.then.next.for. let's say the end of art, a impossibility! i give 10$ to who find a rat nest zooming in this frame cause i also find my last black credit card in the trash can. high scholl degree 5 lie and a Ho,we classify to clown only!!, the analyse of those bbbbb book may rush, still i will read one page after another at random and 2, never set them appart (rome Grece) say once under russian audio! cause they are appart, Psylocibine set consciousness one into proto human, so i guess cow shit is good for brat, and proto bird..beer I'am joking i know still! i have to study and developp solide madder texture and cannot find a single free stone in my area.. So according to ciceron i'am gonna have a Mad I3 today set on : paper. Got another wild rat friend around a beer test today, my usualle trig to work, and how to kill dependency to be crasy, facing how Howe to be done... Rated 2 START PARAMETER=================================== ratW { ; my first big *prise de consciousness* ; a excelent star source. ; for my master. My best reset=2000 type=formula formulafile=plaque~1.frm formulaname=plaques corners=-6.760003/6.759986/-5.070011/5.069998 colors=000000<24>mGOoGPqHQ<3>zKU<25>C46A45834<2>211000000<9>000000000<2>\ 000010030<23>0n00p00r0<3>0z0<25>0C00A0080<2>020000000<9>000000000<2>0001\ 10330<23>nn0pp0rr0<3>zz0<25>CC0AA0880<2>220000000<29>000 } frm:plaques{; z=pixel: x=sin(45) y=1/sin(45) a= real(z/0.66) b=imag(z/0.707) z=sin(z)+x*a^(c-b)-sin(y)^0.707+pixel } END PARAMETER======================================

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FOTD 02-11-11 (Dance of the Numbers [7.5])
by Jim Muth 04 Nov '11

04 Nov '11

FOTD -- November 02, 2011 (Rating 7.5) Fractal visionaries and enthusiasts: Today's venture into the hyper-dimensional world of fractals takes us to the northern valley of the large period-4 bud on the northeast shore line of the main bay of the Mandelbrot set. But where is the valley? The brilliant stripe across the bottom part of the image is the valley. It bears no resemblance to a valley because it is viewed from the side, at an angle close to the Julia, where Mandelbrot elements extend to infinity in two dimensions. The spirals in the image are rather curious. Above the stripe of the valley, they curve clockwise, while below the stripe, they curve counter-clockwise. This shifting curvature is a situation common to the spirals in the vicinity of all valleys. I named the image "Dance of the Numbers". The numbers that create today's image certainly do appear to be dancing. The rating of a 7-1/2 includes a half-point bonus for the work I did on the colors. The calculation time of 3-1/2 minutes has been carefully extrapolated from the 14 minutes the image actually took to run on the P200mhz machine. For maximum pleasure and minium hassle, check the finished image on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> For sharpened pleasure, check the high-definition version at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> And don't forget the original FOTD web site at: <http://www.Nahee.com/FOTD/> The day broke with dense freezing fog here at Fractal Central, and most of the morning remained gloomy, but just before noon the sun suddenly burst through, leading to a near-perfect afternoon with cloudless skies and a temperature of 54F 12C. The fractal cats, never worrying about climate specifics, spent the day relaxing in the warm sun. The humans simply got through the day, with FL recovering from a mild bug and me frustrated with the CD player, which suddenly died last evening, most likely from a burned-out laser. The next FOTD will be posted in 24 hours. Until then, take care, and where are our saviors now that we need them? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= DanceOfTheNumbers { ; time=0:03:30.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=SliceJulibrot4 passes=t periodicity=6 center-mag=0/0.131074/3.138989/1/-90/0 float=y params=90/90.07/92.48/89.01/0.2438/0.5139/-0.0081/\ 0.5024/2/0 maxiter=25000 inside=0 logmap=yes colors=000EHsD0qCJoB0mALk90j8Nh70f6Pd50b4R`30Z2TX1\ 0W2VV20V3XV30V4ZV40U5`U50U6`U60U7_Y80`9Yc90fAViB0l\ BSoCArDRqDApCToBAnAUmAAmEUmHAmKUmOAmRUmUAmXXcZAU_W\ JaAIbUHcAGeRFfAEhPDiACjNBkACkQCkADlTDlAElVElAFmYFm\ JGm_GmMHnbHnQIndInTIobHpTHp_GqOGrUFrKFsNEsEEtHDuED\ uBCv8Cv6CrAGnEKjIOgMRcQV_UZWYbTaePeiLimHjqEktHjpJi\ oLenObmQZlSWkVWjXWiZWhaWgcWedWceWafW_gWYgWWgVaeUZc\ TWaSU_RRYQOXPMVOJTNGRMEPLBNK8MK6PK9RKCUKFWKIZKL`KO\ cKReKTgJMiIFkGGmEGoCHqBHrCHrCIrCIqDIpDJoEJnEJmFKlF\ KlFKhHIdJH`KGYUFUqEQmDMmCJmBFmABm98m8HmEPmKYmPemVm\ j_imdeqjatoYwtczycztczpczkczgczcczZczzczzczzczzczz\ czzczzczzczzczzczzczzczzczzczzczzhzzhzzhzzhzzhzzhz\ zhzzhzzhzzhzzhzzhzzhzzhzzhzzhzzmzzmzzmzzmzzmzzmzzm\ zzmzzmzzmzzmzzmzzmzzmzzmzzmzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz\ zzzzzzzzzzzzzzzzzzzzzzzzz } frm:SliceJulibrot4 {; draws all slices of Julibrot pix=pixel, u=real(pix), v=imag(pix), a=pi*real(p1*0.0055555555555556), b=pi*imag(p1*0.0055555555555556), g=pi*real(p2*0.0055555555555556), d=pi*imag(p2*0.0055555555555556), ca=cos(a), cb=cos(b), sb=sin(b), cg=cos(g), sg=sin(g), cd=cos(d), sd=sin(d), p=u*cg*cd-v*(ca*sb*sg*cd+ca*cb*sd), q=u*cg*sd+v*(ca*cb*cd-ca*sb*sg*sd), r=u*sg+v*ca*sb*cg, s=v*sin(a), esc=imag(p5)+9 c=p+flip(q)+p3, z=r+flip(s)+p4: z=z^(real(p5))+c |z|< esc } END PARAMETER FILE=========================================

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My all round best 7 dimension masculine.nd cow
by Sebastien helie 03 Nov '11

03 Nov '11

In 2009 i was in hell under a forested cover in a forestery job who just paid off when you overdrive yourself.... Surronded by african strange fresh from their home, some where even clearly saying they where not their... I was getting mad at the thrute, my cell neibourgt was like a mob under is sleep, knocking on the wall, looking at me with strange eye and sleeping like a nymphoman...(gender...?) I had a good time calculating during the night with a rat nest under my bed, some visite at my terminal in quiet cased observation and calculation!.... My bed was slowly sinking thru Miss mouse, find a gem of golden iron, rat theif it. the camp generator, burn off when i try to send my mojo development to my nurse friend who sponsor me usually, the only smart one... To whom it may concern:Telling you to paid time, for ANsi code make me laught.. It's kind'a saying your a prostitute Borland fractint.)*insulted*(.. anyway this is my best all round 12 year and also my terminal entrance logo, it do not parsed exactly like it's been but i got a good result and a memory is enlarge,picture.. know that their is also 12 version of it so…, from unstability to my personal absolute. Here a 8.5 7dimcful { ; Use to be a seven dimension image ; now probably only 4 ; a excelent star source. ; for my master. My best reset=2000 type=formula formulafile=frame1.frm formulaname=220709_9 corners=-20/20.00001/-14.99999/15 colors=0000000e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzzzLzzz000555<3>HHHKKKOO\ O<3>ccchhhmmmssszzz00z<3>z0z<3>z00<3>zz0<3>0z0<3>0zz<2>0GzVVz<3>zVz<3>zV\ V<3>zzV<3>VzV<3>Vzz<2>Vbzhhz<3>zhz<3>zhh<3>zzh<3>hzh<3>hzz<2>hlz00S<3>S0\ S<3>S00<3>SS0<3>0S0<3>0SS<2>07SEES<3>SES<3>SEE<3>SSE<3>ESE<3>ESS<2>EHSKK\ S<2>QKSSKSSKQSKOSKMSKK<2>SQKSSKQSKOSKMSKKSK<2>KSQKSSKQSKOSKMS00G<3>G0G<3\ >G00<3>GG0<3>0G0<3>0GG<2>04G88G<2>E8GG8GG8EG8CG8AG88<2>GE8GG8EG8CG8AG88G\ 8<2>8GE8GG8EG8CG8AGBBG<2>FBGGBGGBFGBDGBCGBB<2>GFBGGBFGBDGBCGBBGB<2>BGFBG\ GBFGBDGBCG000<6>000 } frm:220709_9{;sinpix12823@gmail.com z=pixel: x=real(z*0.66) y=imag(z*0.66) c=1.618*z*x*y z=tan(z)+sin(x)+cos(c)*(0.22*z) } END PARAMETER===================================== Any dune fan? I was, and i’am still.. the error occured When i try to imagine a planet call JUNCTION, with mojoworld Today i do golden world, be certain you whon’t received it thru Here…. Make sure and certain i don’t send mojoplanet anymore.. A call this santa Gif.t. Santa? A holy error. For the reste undercase, i like to be told yes and no, here in The province call (stone state) i encounter lot’s of people who Left relation bleed thru communication in orther ? some reason. I like is alone, ma dis like…..BLaBLsBLbBLb… a cased see in lot’s Of people, a finish relation must be autentify.. a no is different And a yes of course. But long live the moderator.

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FOTD 03-11-11 (Nets of Iteration [8.5])
by Jim Muth 03 Nov '11

03 Nov '11

FOTD -- November 03, 2011 (Rating 8.5) Fractal visionaries and enthusiasts: The outer shape of the object in today's image shows that it lies in a Seahorse Valley, in this case the Seahorse Valley of the large minibrot on the west branch of the filament extending from the period-3 north bud of the parent fractal, which on the surface is a Mandelbrot set. The overlapping circles filling the outer shape are skeletal minibrots of order 101. The mixture of order-2 and order-101 features combines into a pleasing fractal image, which, with the help of the colors, rates a solid 8-1/2. The areas that resemble fishing nets consist of increasingly cut-off order-101 skeleton minibrots. The incredible value of the imag(p1) parameter is no mistake. Every order of magnitude is needed to bring out the quadratic features in the deeper parts of the parent fractal. The name "Nets of Iteration" is a poetic impression of the image, though still quite appropriate. The calculation time of 2-4/5 minutes is a good guess of the time the image would have taken to finish on the 2000mhz machine, which is only 4 times as fast as the 200mhz. The image actually finished in 10-1/2 minutes. But why bother with things like calculation time or setting up and running this letter as a parameter file, when the completed image may be seen already calculated on the official FOTD web site at: <http://www.crosscanpuzzles.com/Archives.html> and in high definition at: <http://www.emarketingiseasy.com/TESTS/FOTD/jim_muths_fotd.html> The original FOTD web site with the entire catalog of images may be accessed at: <http://www.Nahee.com/FOTD/> The usual early fog cleared off by mid-morning, followed by a day with hazy sun and a temperature of 57F 14C. My day was simply another in a long string of average but rather moody days that are neither good nor bad, on which I occupy myself with the job of experiencing life and wondering what it's all about. FL, always the more practical, wondered why I was wondering about something I could do nothing about. The fractal cats spent the day wondering when their next tuna treat would be served. The next FOTD will be posted in 24 hours, come rain or shine. Until then, take care, and when will science and religion reconcile their conflicting views and bring spiritual peace (the only true peace) to everyone? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START PARAMETER FILE======================================= Nets_of_Iteration { ; time=0:02:50.00 SF5 at 2000MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=FinDivBrot-2 function=recip passes=t center-mag=-0.162100670397/+1.035011143826/5216258\ /1/-5/0 params=101/10e+174/0/0 float=y maxiter=3200 inside=0 periodicity=6 colors=000aHG`GKZEOXDSVBWT9_S8cQ6gO5kM3oL2sM5tM8tN\ AuNDuOGvOIvPLwPNwQQwQTxRVxRYyS`ySbzTezTgzWfvYes`do\ bclebhgaej`al_ZoZVqYStXOvXLiICX43Y68Z8C_AG`BKaDPbF\ TcHXdI`gO_jUZm_YoeXnbWn`WnZWmWVmUVmSVmQUlNUlLUlJTl\ HTkETkCSkASk8SjGPiOMiWKhcHhjFiiGiiGiiGjiGjiGjiGjiG\ kiHkiHkiHliHliHliHliHmfGncFo`FpYEqVEqTDrQDsNCtKBuH\ BuFAvCAw99x69y38y18w67vA7uE7sI7rM6qQ6pU6nY6ma6le5j\ i5im5hq5gu5bt5Zs5Vr5Rq5Nq5Rk8VeAZ_CbUEeOHiIJmCLq6N\ t0Ps3Rs6Ss9TrCUrFWrIXqLYqOZqR`pUapXbp_cobeoefohgok\ hbTl_XjX`hUdgRheOkdLobIsaFw_CzZ2Jn9IgFHaLHWRGQYFJc\ FDiE7oE1fCCYANP9YG7h50d60e70f80f90fA0fB0fC0fD1fE2f\ F3fG4fH5fI6gJ7fK8fL9eMAeNBeOE`PEdQGeRHdTIcVJaXKaZL\ ``MZcNYfPYiRYlTYoVYrXYtZZw`_zb_zd_zeZzgYzhXziXzjWz\ kVzlVzmYzn`zocznfzmhtmjrmlrmnrmqrmrrmsrmsrmsrmppmp\ nmplmpkmnlmlmmjkmhimfgodeobcm`bkZaiX`gV_eTZcQYaOU_\ MTYKTWIUUGWS1YQ0_O4aM8cKC } 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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Re: [Fractint] Two Mand
by Jim Muth 03 Nov '11

03 Nov '11

At 03:51 PM 10/31/11 -0600, Mike wrote: >....Anyone that has taken electrical >engineering is familiar with the formula for parallel resistance: > >rp = 1 / ( 1 / r1 + 1 / r2 ) > >If you put a mandelbrot equation at r1 and r2 with a different >center point you have it.... Mike: Very good idea -- parallel resistance. Electricity and fractals. I guess it's all one grand unified universe, based on numbers. What your formula creates appears to be fractals of the type created by combining positive and negative exponents of Z, such as the one created by the parameter file at the end of this letter. Increase the value of real(p2) and the Mandies shrink; decrease the value and they expand and merge, as they are starting to do in the image drawn by the included file. I also see fractals drawn by your formula that resemble those created by my DivideBrot series of formulas, with debris filling the usually empty insides. But your formula gives control over the position of the Mandies that I cannot achieve with my formulas. I'll have more to say later. Jim Muth jamth(a)mindspring.com START PARAMETER FILE======================================= Multi_Mandies { ; time=0:00:23.29 SF5 at 200MHZ reset=2004 type=formula formulafile=basicer.frm formulaname=MandAutoCritInZ function=ident inside=0 center-mag=-0.414649/-0.442222/0.9690955/1/-35/0 params=1/2/-0.025/-2/0/0/0/0 float=y maxiter=1500 colors=00000e0e00eee00e0eeL0eeeLLLLLzLzLLzzzLLzLzz\ zLzzz000555888BBBEEEHHHKKKOOOSSSWWW___ccchhhmmmsss\ zzz00zG0zV0zj0zz0zz0jz0Vz0Gz00zG0zV0zj0zz0jz0Vz0Gz\ 00z00zG0zV0zj0zz0jz0Vz0GzVVzbVzjVzrVzzVzzVrzVjzVbz\ VVzbVzjVzrVzzVrzVjzVbzVVzVVzbVzjVzrVzzVrzVjzVbzhhz\ lhzqhzuhzzhzzhuzhqzhlzhhzlhzqhzuhzzhuzhqzhlzhhzhhz\ lhzqhzuhzzhuzhqzhlz00S70SE0SL0SS0SS0LS0ES07S00S70S\ E0SL0SS0LS0ES07S00S00S70SE0SL0SS0LS0ES07SEESHESLES\ OESSESSEOSELSEHSEESHESLESOESSEOSELSEHSEESEESHESLES\ OESSEOSELSEHSKKSMKSOKSQKSSKSSKQSKOSKMSKKSMKSOKSQKS\ SKQSKOSKMSKKSKKSMKSOKSQKSSKQSKOSKMS00G40G80GC0GG0G\ G0CG08G04G00G40G80GC0GG0CG08G04G00G00G40G80GC0GG0C\ G08G04G88GA8GC8GE8GG8GG8EG8CG8AG88GA8GC8GE8GG8EG8C\ G8AG88G88GA8GC8GE8GG8EG8CG8AGBBGCBGDBGFBGGBGGBFGBD\ GBCGBBGCBGDBGFBGGBFGBDGBCGBBGBBGCBGDBGFBGGBFGBDGBC\ G000000000000000000000000 } 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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