March 2004 - Fractint - mailman.xmission.com

about multifractals
by David Lowenstein 03 Mar '04

03 Mar '04

http://www.math.yale.edu/mandelbrot/webbooks/wb_multi.htm http://maxvalue.com/tip048.htm http://citeseer.ist.psu.edu/riedi97inversion.html http://www.umich.edu/~lowbrows/reflections/1998/dsnyder.3.html http://www.fractalmovies.com/index.php4?mode=list_dir&dir_ID=47 multifractals are objects composed of several fractals, each having different scales. I think that is the definition of a multifractal! -david

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more on multifractals
by David Lowenstein 03 Mar '04

03 Mar '04

http://mathworld.wolfram.com/MultifractalMeasure.html http://www.math.ohio-state.edu/~edgar/preprints/mauldin/

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[Fractint] julie brot wonders if multifractals can be implemented in fractint!
by David Lowenstein 03 Mar '04

03 Mar '04

http://classes.yale.edu/Fractals/MultiFractals/welcome.html http://www.amazon.com/exec/obidos/tg/detail/-/0387985395/002-8379713-787204… http://www.amazon.com/exec/obidos/tg/detail/-/1584881542/002-8379713-787204… http://mathworld.wolfram.com/Multifractal.html

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gnofract4d
by Vortex Swirling 03 Mar '04

03 Mar '04

--- Outgoing mail is certified Virus Free. Checked by AVG anti-virus system (http://www.grisoft.com) Version: 6.0.605 / Virus Database: 385 - Release Date: 3/1/2004

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maybe there can be fractint for ecomstation?
by David Lowenstein 02 Mar '04

02 Mar '04

just an idea! -david www.ecomstation.com a version of os/2!

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FOTD 02-03-04 (Back to Work [6])
by Jim Muth 02 Mar '04

02 Mar '04

FOTD -- February 02, 2004 (Rating 6) Fractal visionaries and enthusiasts: The non-fractal work is unexpectedly heavy again here at F.C., so today's discussion will have to be short and to the point. The point is that today's image is a scene in the fractal which results when 9.9 parts of Z^(-0.41) are subtracted from 0.9 parts of Z^(1.4) and (1/C) is added. This fractal resembles a distorted Mandelbrot set with East Valley on its southern side. The scene of today's image is located in the interior of this valley. The coloring is different from my usual rather somber palettes. Instead of dark blues and purples, I have colored it in bright oranges and tints of white, with a little green and black thrown in for emphasis. The image was calculated using the outside=tdis option, which, in this image, gives more bands than the normal equal-iteration method, and therefore smoother colors. I named the image "Back to Work" because that's what I have to do as soon as I post this letter. The image has been rated at a 6. The render time of 8 minutes gives an overall value of 68. And the minor task of rendering the image from the included parameter file may be avoided by downloading the completed GIF image from Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> Another near perfect late winter day here at Fractal Central on Monday kept the two fractal cats happy. The sun and temperature of 57F 14C were pleasant for people also. Today is starting cloudy with light rain, but the rain is already moving out. I expect better things to come by afternoon. For me, the work is heavy today, but I always manage to find time enough for another fractal. Until tomorrow, when that fractal will appear, take care, and have you tried the miracle fractal diet? Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Back_to_Work { ; time=0:08:48.22--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=+0.10212840421265620/+0.057868193267248\ 99/3.902478e+008/1/180 params=0.9/1.4/-9.9/-0.41/0\ /525 float=y maxiter=1200 inside=0 outside=tdis periodicity=10 colors=000QhVOiWNhVNgVNfUNeUNdTNcTN\ bTNbSNaSN`RN_RNZRNYQNXQNWPNWPNVONUONTONSNNRNNQMNPM\ NPMORLOSLOTKOUKOVJOWJOXJOYIOZIO_HPaHPbGPcGPdGPeFPf\ FPgEPhEPiDPjDPkDTjHXiL`hOdgSgfVkeZodbscewbizblyahy\ aeyabyaZy_WxYTxWQxXMxYJxZGw_Dw`9wa6wb3wc0vd3ve6vf9\ ugCuhFuiIujLukOulRumUunWuoZupauqdurgusjutmuupuvsuw\ vuxxuxuuwssvpqtnprkopinnfmldljakh_J31L52M72O93PB3Q\ D4SF4TH4VJ5WL5XN6ZP6_R7`T7bV7cX8eZ8f`9gb9idAjfAkhA\ ikBgnCfqDdsEbwFazGrzHzzIzzJzzKzzLWzKXwJYuJZsI_qH`o\ HanGclFdkFejEfiDggDhfCieBjdBacLTcVKbcBbm3bv5`t6Zs8\ Yq9WzBmzCTzESzFQjHOiINhKLfLKeNIcOHbQFaRD_TCZUAXW9W\ X7VZ6T_4S`3Ra5Ta6Ua7Vc8Wh9YmAZrB_wC`wDarEcmFdhGedH\ fdIgdJieKjeLkeMleNmdOncPnbQoaRp`Sp_TqZUrZUrVRnSPkP\ NhMKeJIbGG_DEXCHVBKUANTAQR9TQ8WP7ZN7aM6dL5gJ4jI4mH\ 3pF2sE2vD4tF6sG8qI9pJBnKDmMFkNGjOIhQKgRLfSMeUNeVNd\ WOdYPdZPc_Qc`RbbRbcSbdTafTagUahV`iVdRSfT } frm:MandelbrotMix4 {; 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, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================

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FOTD 28-02-04 (Cellular Patterns)
by Jim Muth 02 Mar '04

02 Mar '04

At 05:44 AM 3/1/04 -0700, SherLok Merfy wrote: >Before I become a shill for the LCD monitor >makers, you are probably sitting in front of >the strongest source of radiation, . . . True. My fractal-dedicated P200 machine is equipped with an old-style CRT monitor. And these devices are high radiation emitters, as any radio that picks up the AM band can prove. But all the machines I use in my regular work are equipped with the newer non-CRT monitors. In my original letter I was referring to the microwave radiation emitted by cell phones held against the head. The results of some of the studies that have been done can be found at: http://www.wave-guide.org/library/studies.html I also wonder about the radiation that fills the so-called 'wireless office'. This topic really should be discussed on the philofractal list. Are you subscribed to that list? Jim M.

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Re: [Fractint] MIMING for FRACTALS
by gnome＠hawaii.rr.com 01 Mar '04

01 Mar '04

----- Original Message ----- From: SherLok Merfy <brewhaha(a)freenet.edmonton.ab.ca> Date: Monday, March 1, 2004 12:44 pm Subject: Re: [Fractint] MIMING for FRACTALS > On Mon, 1 Mar 2004, Paul N. Lee wrote: > > I sit corrected regarding IFS. So far, I've got a request to my > sysadmin for writing text/XFractint in as the type for .par , .frm > , and > .map > > Transformational operations and rates derived from triangles are a > hard stone to cook, now, because I still hav trouble getting past > usingFDESIGN to draw. There's an interactive tutorial in Java > around somewhere, > but that's for when I'm at the library or my neighbour's place (if > I can > keep his browser from seeking porn and spam and telling me to hide > my IP > number)*. Perhaps it's my goal (my font, which is itself built upon > transformational rules), but I don't see how those triangles work > out to > "FRACTINT", or "DUG", either. > > * I don't know why it took me so long to think of it, but disabling > JavaScript seems like the most obvious way to do that. It's just > that he'll probably want me to turn it back on. Download, install, and run Spybot Search & Destroy. If he uses Internet Explorer, he probably has a few tons of spyware running on his PC. David gnome(a)hawaii.rr.com

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FOTD 01-03-04 (Florida Interlude [6])
by Jim Muth 01 Mar '04

01 Mar '04

FOTD -- March 01, 2004 (Rating 6) Fractal visionaries and enthusiasts: Recently on the Fractint list I saw an image posted that shows disconnected features in the Julibrot. The image started me wondering. It is known that the classic Mandelbrot set is connected, but the perturbed M-sets are not. And it is known that Julia sets are either connected or disconnected, depending on whether their corresponding Mandelbrot points lie within the M-set itself. But, to my knowledge, has it ever been determined whether or not the four-dimensional Julibrot is connected? Does every apparently disconnected point have a filament leading through hyperspace back to the central hyperbay? I rather suspect that the Julibrot is connected, but this is based on intuition. I have not seen it proved and I could easily be wrong. . . . Now on to today's image . . . To find today's image, I took Z^(-1.2), combined it with 0.2 parts of Z^(2.1), then added (1/C). The resulting fractal consists of a large, distorted Mandeloid with a smaller, discon- nected Mandeloid some distance to the east. To locate the scene of today's action, I checked the East Valley of the larger Mandeloid, which in this case is on the north shore of the main bay. The scene of today's action lies in the interior of this valley, disconnected from the rest of the fractal. As is always the case, the disconnected nature of the general area is reflected in the disconnected nature of the features surrounding the central midget. The curving, feathery filaments add just enough artistic touch to qualify the image as FOTD for the first day of March. I had intended on naming the image "Fractal Interlude", but for some reason I wrote "Florida Interlude". The mistake seemed as good as my original intent, so I let it stand. Not much need to be said about the rating of 6, which is the most common FOTD rating. When adjusted for the render time of 4.07 minutes, the rating jumps to a 98. Those who choose to download the finished product from Paul's web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> will have little reason to concern themselves with the render time. The cats had a near perfect day in the Fractal Central yard on Sunday. With a temperature of 66F 19C and lots of sun to lounge in, the duo had nothing to do but nothing all day. And they do nothing very well. When evening arrived, they came indoors with their tails straight in the air, ready for their dinner. Today is starting in a similar manner. Hopefully, things will go just as well for the duo. I have a bit of work to clear away before I can declare my day a success. And the best way to finish a job is to start it. Until the next glorious or not-so-glorious fractal appears, take care, and watch for hit-and-run fractals. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Florida_Interlude { ; time=0:04:04.09--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=recip passes=1 center-mag=-1.59508887023064300/+0.219397667625330\ 00/40616.79/1/165/-7.78849103266754383e-009 params=1/-1.2/-0.2/2.1/1/0 float=y maxiter=620 inside=0 logmap=74 periodicity=10 colors=000FGQG8QHBSIDUKFWMHYOJ_RLaTNcVPeXRgZTi`Vkb\ XmcZoc`qc`tcbufaxgaxibxkbxmcwoewqhwskuumrwomvmhukc\ thZseUrbPq_KpXKoUKnRLmOLlLLkILjFLfJIbMG_PEWSBTV9PY\ 7M`4Ic2Ff0Ec2E`4EY6EV8ESADPCDMEDJGDGIDDKDAMBHJ9NHF\ TFKZCPdAUj8Zp6cq7hq7mrAqrKtsUwsczthztcruUmuKhvBcvB\ olAl_9pO9tD8x28zrOxsNvtMtuLrvKpvKmnHkgFi_CgTAeWCcY\ Eb_G`aI_dKYfMXhOVjQTlSSoUQqWPsYNu_Mw`PtYSrWUpUXnSZ\ lQajOdhMfeKicIkaGn_EqYCsWAvU8xS6uS7sS7qS8oS8mS8lcJ\ koUjmd_mdPmdEmdGmLIm1Km3Lm4Mm5Nk6Pj8Qi9RpASwBRuAQt\ 9Qs8Pr8Pq7Op6No5Nm5Ml4Mk3Lj2Ki2Kh1Jg0Jf0Kd4Kb8K`CL\ ZGLYKLWOMUSMSWMR_UZS`eLglDns6jp9fnCblFZiIVgLReONbR\ J`UFZXBXZDYXEYWGZVHZUGaUFdUEgUDjUCmUVqYlt`hpaelaai\ aZeaWcaScaPcaLcaIcaFcaBca8ca5ca8cZBeXDgVGiTIkRLmPN\ oNQqKSsIVuGXwE_xCazAdz8fz6gz7hz7iz7kz7mz7oz7qz7szT\ uzRwzPzzOzzMzzLzzJzzIzzPzzVzzazzUzzUzzUzzUzzUzzUzz\ UzzUzzSzzNzzIzzEzzBzz9zz7 } frm:MandelbrotMix4 {; 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, k=real(p3)+1, l=imag(p3)+100, c=fn1(pixel): z=k*((a*(z^b))+(d*(z^f)))+c, |z| < l } END 20.0 PAR-FORMULA FILE==================================

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FOTD 27-02-04 (Iterative Currents [6])
by Jim Muth 01 Mar '04

01 Mar '04

FOTD -- February 27, 2004 (Rating 6) Fractal visionaries and enthusiasts: While working with today's image, I discovered that there is a problem with the type=mandel formula in Fractint. As a result, I needed to write a new version of the SliceJulibrot formula to calculate today's image, which is a different view of yester- day's type=mandel image. This new version, SliceJulibrot3, is included in the parameter section at the bottom of this letter. The new version calculates the square root of the number entered as (p4), or the starting point of Z. I needed the new version because the high-speed type=mandel formula in Fractint calcu- lates the square root of the complex number that is entered as the starting-point parameter rather than the entered number itself. (Actually, I already knew this, but for some reason it did not come to mind.) As mentioned above, today's image is a different view of the spectral bud that was illustrated in yesterday's FOTD. But the angle of today's view is close to 90 degrees from that of yester- day's view, and as a result, the spectral bud has been stretched to a few near-straight features in the background. The fore- ground spiral however has really come to life, and has changed into a sinuous series of curves, which no longer form a perfect spiral, but are rather pleasant to look at anyway. These swirling features inspired the name "Iterative Currents". While studying the image, I got the distinct impression of convection currents swirling on the surface of a newly-poured cup of hot coffee. My original impulse was to rate the image at a 7, but then I realized that some people do not drink coffee, and dropped the rating to a 6. Combined with the render time of just under 16 minutes, this gives an overall value of 38. With more work, the coloring could have been better, but I spent so much time trying to find why the first formula didn't work that I had too little time to devote to coloring the image. The finished image is available on Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> A lack of sun and a temperature of 41F 5C here at Fractal Central on Thursday kept the cats' outdoor time limited to less than one hour, but, perhaps due to their increasing age, this was all the duo needed to satisfy their ever-shrinking urge for adventure. Today is starting sunny and milder. This promises good things for the duo. For me, the work is still heavy. But it is not heavy enough to keep me from fractal land, and whatever I find there will become tomorrow's FOTD. Until then, take care, and keep your fractals in alphabetical order. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Iterative_Currents { ; time=0:15:54.50--SF5 on a P200 reset=2003 type=formula formulafile=allinone.frm formulaname=SliceJulibrot3 passes=1 center-mag=-0.00263587632006605/+0.004641457407512\ 89/79.37667/23.269/0/-32.6192430711928907 params=82.7/-41.3/-91.4/74.8/-0.23020724/0.6448031\ 5/0.3991/-0.6312 float=y maxiter=40000 inside=0 logmap=464 periodicity=10 colors=000pzMpyMpxNpxNpxOpxOpxOpxPpxPpxQpxQpxRpwRp\ wSpwSpwTpwTpwUpwUpwUpwUpwUpvUpvUpvUpvUpvUpvUpvUpvU\ pvUpvUpuUpuUpuUpuUpuUpuUpuUpuUpuUpuUptUptUptUptUpt\ UotUotUotUotUntUnsUnsUmsUmsUmsUlsUlsUlsUksUksUksUj\ sUjrUjrUirUirUirUhrUhrUhrUhrUgrUgrUgrUfqUfqUfqUeqU\ eqUeqUeqTdqTdqSdqSdqRdqRdpQdpQdpPdpPdpOdpOdpNcpNcp\ McpMcpLcpLcoKcoKcoKcnJcnJcnJcnJcmIcmIcmIcmIblHblHb\ lHblHakGakGakGakG`jF`jF`jF`jF_iE_iE_iE_iEZhDZhDZhD\ ZhDYgCYgCYgCYgCXfBXfBXfBXfBWeAWeAWeAWeAVc9Vb9Ua9U`\ 9TZ8TZ8SZ8SZ8SZ7SZ7S_7T_7T_6U_6U`6Tb5Uc6Ud7Vd8Ve9V\ cAWbBWaCW_DXZEXYFYYHYYKYXNZXQZWTZWW_WZ_Va`Vd`Ug`Uj\ aUnaTqaTtbSwbSzcSzcRzcRzdRzdTzdVzeXzeZzf`zfbzfdzgf\ zghzgjzhkzhkzilzimzinzjozjpzjqzkrzkrzlrzlrzlrzmrzm\ rzmrznrznrzmrznrznrznrznrznrznrznrznrznrznrznrznrz\ nrznrzorzorzorzorzorzorzorzorzorzorzorzorzorzorzpr\ zprzprzprzprzprzprzprzprz } frm:SliceJulibrot3 {; draws most 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), c=p+flip(q)+p3, z=r+flip(s)+sqrt(p4): z=sqr(z)+c |z|<=9 } END 20.0 PAR-FORMULA FILE==================================

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