January 2002 - Fractint - mailman.xmission.com

FOTD 14-01-02 (Elliptic Dagger [4])
by JimMuth＠aol.com 14 Jan '02

14 Jan '02

FOTD -- January 14, 2002 (Rating 4) Fractal visionaries and enthusiasts: Today's FOTD, which is yet another aspect of the same midget that appeared in the past two days' FOTD's, could have been named something like "Hypodermic Needle" or "Mosquito Proboscis", but such names lack the immediate impact of "Elliptic Dagger", the name that I gave the image. How, one might ask, can a dagger be elliptic? Daggers are supposed to be short, pointed knives with both edges sharpened. Well, the dagger in today's image, like nearly everything else in FOTD fractals, exists only in the mind of the beholder, and therefore can seen as anything the originator and beholder desire. (But perhaps fractals exist also only in the mind of the beholder. And the beholder . . . where does he exist . . . if he exists at all?) A dagger can be elliptic when it is a slice of a Julibrot hole sliced in the Elliptic direction, which is defined by real(c)imag(z), when the slice looks even remotely like a dagger. Today's image meets these qualifications, thus the name. (I named this particular Julibrot orientation 'Elliptic' because the slice in this orientation through the origin of the Z^2+C Julibrot vaguely resembles an ellipse flattened on one end.) Unfortunately, the remnant seen in today's FOTD image resembles hundreds of perturbed Mandelbrot midgets that I have found and discarded, so I could rate it no higher than a 4. But it's still worth the incredibly short time required to render the image from the attached parameter file. The color palette is the same one that appeared in the past two days' FOTD views of this particular scene. On my rejuvenated P200, the 21-second render time of today's fractal rivals yesterday's record breaker. The download of the GIF image file takes a bit longer, but is also more convenient. The download may be found at one of the following two sites on the W.W.Web: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> With a temperature of 45F 7C, the Sunday weather here at Fractal Central was sunny and mild enough, but the high winds kept the fractal cats house-bound. They passed the day sleeping by the radiator, waking only long enough to give me a few angry glances. The standard tuna treat finally put them in a more congenial mood. Well, it's Monday morning and another week of work has started. I find myself with only a minor stack of work at the moment, but that could change at the ring of a telephone. Until next time and next FOTD, take care, and the Mandelbrot set is as close to an indestructible object as it is possible to come in this or any other world. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Elliptic_Dagger { ; time=0:00:21.70--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=multirot-xz-yw-new passes=b center-mag=+0.00000000425235697/-0.000000077765461\ 31/9631454/0.8318/64.5084990131079223/-23.71969529\ 41318102 params=0/90/2/0/-1.99909595/0/-1.99909595\ /0 float=y maxiter=1000 inside=255 logmap=35 colors=000ZWoYTsXTqWToVTnUTmTTlSTlRTkQTkPTjOTjNTiM\ SiLRhKQgJPfJOeINdIMcHLbHKaGJ`GI_FHZFGYEFXEEWDEVDCU\ CATF6QFDPAKQ4SP0ZO0dV0l`0rf0sc0s`0uY0uV0vS0vP0xM0x\ J0yG0yD0zA0z70z40z3Cv0Yr0sl0zg0za0zX0zS0zM0zI3zJ4z\ L6zM7zO9zOAzPCzQDzSFyTGxTGsVLoVOjXQfXTaXYYY`TYcPYf\ L_jG_mC`p7`s3`x0az0az0az0Pz0Cz0Az09z07z06z04z13z31\ z41zdCVzL0zJ0yI0rG0jG4cF7XDCPDGICLAAP3AS4IO6OL7VI9\ `DAgACm7Cs4Io7Ol9TiC_fDdcGj`IoYJjVLgSMcPO`MOYJPTGQ\ QDQMASJ7TG4TC1V90X60XJ0OV0GL69Q39X09a090zA6j9IT9VC\ 9z0Or0GzDzzAzz7ux6lu3dp0Xm0Pi0Gu9fr6`o3Vm1Pj0Jg0DJ\ D0P91T43Y16a07aOjcG`d9Sf1IxPmmjLjYIiLFg7CdYJfSIfOG\ fIFfDDf9CGYL0XF7c7Oi0co0su0um0vf0v_3xS7yLDyDIz6Oz0\ SuAVpJXlSYf`_ai`Yradsdlsgssjzvmzzpzzszzouzjjzf`zaQ\ zYGzVPz_Xzcczgjzjdzg_zfTzcOzaIz_CzYJzXPzXVzV`zVgzV\ mzTszTyzTzzYzzazzfzzjzzozzszzzzzzzzzzzzzzzzzzzzziz\ iIzO0z1czVczMczDzz4zzG000 } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END 20.0 PAR-FORMULA FILE==================================

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FOTD 13-01-02 (Slimed [5])
by JimMuth＠aol.com 13 Jan '02

13 Jan '02

FOTD -- January 13, 2002 (Rating 5) Fractal visionaries and enthusiasts: When I checked my e-mail box a few minutes ago, I found 17 letters, most of them telling me that I could get rich quick or at least make a lot of money at home by doing next to nothing. This is about the average number of unwanted e-mail letters I receive every day. Most of today's letters had a disclaimer attached, telling me that the letters were not spam because I had 'opted in', or done something similar, to receive the mail. It's almost a comedy when such letters arrive. To begin, if the letters are not spam, why must they inform me of the fact and tell me how to be removed from the list? IMO, the only unwanted e-mail advertisement that is not spam is the one that never arrives. Then, there is this 'opting in' thing. First they tell me that I *have* agreed (opted-in) to receive the letter, then they include a line apologizing if I have *not* agreed to receive the letter, and they have made an error. (They must make a lot of errors.) And what do they mean by 'opting in'? I most certainly have never signed up anywhere to receive daily stacks of unwanted e-mail. Finally, we have what I call 'the mysterious opportunity' letter. Why do so many of these junk letters tell of the great opportunity to get rich that the sender is offering me, (if only I send them money first), but then fail to disclose the nature of the once-in-a-lifetime chance for wealth that awaits me? Of course, the answers to these questions are no mystery. When the letters tell me that I have opted in, they mean that the senders have found my e-mail address. The letters must include the removal information by law. And the senders withhold the exact nature of their offer because they want a chance to give me the hard sell, and are also building a list of those who would respond to such offers, which they hope to sell. Well, I'd better get to fractals before I turn today's discussion into a piece of spam itself. The geometric hole in today's image is the same one that we saw in yesterday's "Julibrot Monster" image. The difference is the direction in which the 4-D hole is sliced. Yesterday's image was sliced in the Rectangular direction defined by imag(z)imag(c), while today's image is sliced in the Parabolic direction defined by real(z)real(c). A quick glance at the scene will reveal why I have named this particular orientation 'Parabolic'. I had a bit of trouble finding a name for the image, but finally decided on the not-very-attractive name "Slimed". (Like what happened to the ghost-busters.) The midget does seem to be dragging a mass of slime behind it. The unattractive name and slimy appearance reduces the image's rating from a 6 to a 5. The color palette may appear familiar. It should. It was picked up from yesterday's scene. Like yesterday's image, today's also had to be rotated, stretched and skewed, though not to the same degree. Today's image may be the fastest FOTD image of all time. I have not been keeping render-time records, but I can recall nothing that rendered in less time than today's faster-than-light 18 seconds. But the super-fast render time still requires a minute or two of set-up. Those who wish to avoid the inconvenience of the set-up may download the completed GIF image from one of the following two web sites: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> The fractal weather Saturday here at Fractal Central showed much improvement over the day before. The brilliant sun, gentle winds, and temperature of 55F 13C made the fractal cats happy enough to stay outdoors most of the afternoon, watching me finish some yard work and wishing they could catch a few birds or squirrels. I've still got a bit of yard work to finish, and the best way I know to finish something is to start it. So until next FOTD, take care, and fractals are like eternal songs. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ Slimed { ; time=0:00:18.62--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=multirot-XY-ZW-new function=flip/ident passes=b center-mag=-0.00000052521625445/-0.000000\ 00027915521/2207358/0.3575/-18.3972459672/20.02213\ 79791266507 params=90/0.001/2/0/-1.99909595/0/-1.9\ 9909595/0 float=y maxiter=2500 inside=255 logmap=39 colors=000ZToYToXTnWTnVTmUTmTTlSTlRTkQTkPTjOTjNTiM\ SiLRhKQgJPfJOeINdIMcHLbHKaGJ`GI_FHZFGYEFXEEWDEVDCU\ CATF6QFDPAKQ4SP0ZO0dV0l`0rf0sc0s`0uY0uV0vS0vP0xM0x\ J0yG0yD0zA0z70z40z3Cv0Yr0sl0zg0za0zX0zS0zM0zI3zJ4z\ L6zM7zO9zOAzPCzQDzSFyTGxTGsVLoVOjXQfXTaXYYY`TYcPYf\ L_jG_mC`p7`s3`x0az0az0az0Pz0Cz0Az09z07z06z04z13z31\ z41zdCVzL0zJ0yI0rG0jG4cF7XDCPDGICLAAP3AS4IO6OL7VI9\ `DAgACm7Cs4Io7Ol9TiC_fDdcGj`IoYJjVLgSMcPO`MOYJPTGQ\ QDQMASJ7TG4TC1V90X60XJ0OV0GL69Q39X09a090zA6j9IT9VC\ 9z0Or0GzDzzAzz7ux6lu3dp0Xm0Pi0Gu9fr6`o3Vm1Pj0Jg0DJ\ D0P91T43Y16a07aOjcG`d9Sf1IxPmmjLjYIiLFg7CdYJfSIfOG\ fIFfDDf9CGYL0XF7c7Oi0co0su0um0vf0v_3xS7yLDyDIz6Oz0\ SuAVpJXlSYf`_ai`Yradsdlsgssjzvmzzpzzszzouzjjzf`zaQ\ zYGzVPz_Xzcczgjzjdzg_zfTzcOzaIz_CzYJzXPzXVzV`zVgzV\ mzTszTyzTzzYzzazzfzzjzzozzszzzzzzzzzzzzzzzzzzzzziz\ iIzO0z1czVczMczDzz4zzG000 } frm:multirot-XY-ZW-new {; draws 6 planes and rotations ;when fn1-2=i,f, then p1 0,0=M, 0,90=O, 90,0=E, 90,90=J ;when fn1-2=f,i, then p1 0,0=M, 0,90=R, 90,0=P, 90,90=J a=real(p1)*.01745329251994, b=imag(p1)*.01745329251994, z=sin(b)*fn1(real(pixel))+sin(a)*fn2(imag(pixel))+p3, c=cos(b)*real(pixel)+cos(a)*flip(imag(pixel))+p4: z=z^(p2)+c, |z| <= 36 } END 20.0 PAR-FORMULA FILE==================================

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Re: [Fractint] FOTD 12-01-02 (A New Scene [7])
by JimMuth＠aol.com 12 Jan '02

12 Jan '02

D. Freed wrote: >Does Jim know what happened to PNL ???? No. Jim M.

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FOTD 12-01-02 (A New Scene [7])
by JimMuth＠aol.com 12 Jan '02

12 Jan '02

FOTD -- January 12, 2002 (Rating 7) Fractal visionaries and enthusiasts: Today's image pictures a slice through the open area located at -1.99909595 on the negative stem of the Mandelbrot set. It also pictures a slice through the Julia sets of this hole, though the scene bears little resemblance to either a M-set or a J-set. because the image is a new aspect of an old thing, I have named it "A New Scene". The image in fact is what I call a Rectangular set. It is a slice through the same -1.99909595 hole, but instead of being sliced in the real(c),imag(c) direction, which gives Mandelbrot sets, or the real(z),imag(z) direction, which gives Julia sets, the hole has been sliced in the imag(c),imag(z) direction, which gives Rectangular sets. I named the fractals that result when the Julibrot is sliced in this direction "Rectangular" because as today's image shows, they are filled with holes that are shaped like rectangles. Today's image is quite different from either a Mandelbrot or Julia fractal, both of which are instantly recognized by fractal explorers, but like its better known cousins, it is also instantly recognizable, at least by myself, as a Rectangular fractal. Like Julia sets, which in the Z^2+C fractal are symmetrical around the origin, the Rectangular sets also display symmetry around the origin. But unlike Julia or Mandelbrot sets, the Rectangular sets are inherently distorted, and must be undistorted before they can be fully realized. In today's image, this undistorting takes the form of rotation, stretching and skewing. There are three more perpendicular directions in the Julibrot, in which this particular hole can be sliced at today's point. I will show these three additional aspects, which I have named Oblate, Parabolic and Elliptic, in the next three FOTD's. Because today's image takes a familiar old object and makes something totally new of it, I have given it a rating of 7. An extra benefit is the lightning speed of the parameter file, which renders in a matter of seconds. For those who cannot run the parameter file, the finished image may be available on Paul's FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> But Paul's site has not been updated recently. If the image is not yet on Paul's site, try Scott's FOTD site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The Friday weather here at Fractal Central started with a shower of rain, then cleared, but turned blustery and colder in the afternoon. The fractal cats don't like rain, they don't like wind, and they don't like cold. As a result, they were unhappy fractal cats until I opened the traditional can of tuna for them. (Sometimes I wonder if the cats just pretend to be unhappy to manipulate me into giving them tuna instead of cat food!) It's now time to do some week-end odd jobs that need to be done. Until next FOTD, take care, and be yourself. Jim Muth jamth(a)mindspring.com jimmuth(a)aol.com START 20.0 PAR-FORMULA FILE================================ A_New_Scene { ; time=0:01:15.63--SF5 on a p200 reset=2002 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=0/0/2.176732e+007/0.3076/-47.2379488575\ 538815/60.6611623140979432 params=90/90/2/0/-1.999\ 09595/0/-1.99909595/0 float=y maxiter=5000 inside=0 logmap=40 colors=000ZWoYWoXUnWTnVTmUTmTTlSTlRTkQTk\ PTjOTjNTiMSiLRhKQgJPfJOeINdIMcHLbHKaGJ`GI_FHZFGYEF\ XEEWDEVDCUCATF6QFDPAKQ4SP0ZO0dV0l`0rf0sc0s`0uY0uV0\ vS0vP0xM0xJ0yG0yD0zA0z70z40z3Cv0Yr0sl0zg0za0zX0zS0\ zM0zI3zJ4zL6zM7zO9zOAzPCzQDzSFyTGxTGsVLoVOjXQfXTaX\ YYY`TYcPYfL_jG_mC`p7`s3`x0az0az0az0Pz0Cz0Az09z07z0\ 6z04z13z31z41zdCVzL0zJ0yI0rG0jG4cF7XDCPDGICLAAP3AS\ 4IO6OL7VI9`DAgACm7Cs4Io7Ol9TiC_fDdcGj`IoYJjVLgSMcP\ O`MOYJPTGQQDQMASJ7TG4TC1V90X60XJ0OV0GL69Q39X09a090\ zA6j9IT9VC9z0Or0GzDzzAzz7ux6lu3dp0Xm0Pi0Gu9fr6`o3V\ m1Pj0Jg0DJD0P91T43Y16a07aOjcG`d9Sf1IxPmmjLjYIiLFg7\ CdYJfSIfOGfIFfDDf9CGYL0XF7c7Oi0co0su0um0vf0v_3xS7y\ LDyDIz6Oz0SuAVpJXlSYf`_ai`Yradsdlsgssjzvmzzpzzszzo\ uzjjzf`zaQzYGzVPz_Xzcczgjzjdzg_zfTzcOzaIz_CzYJzXPz\ XVzV`zVgzVmzTszTyzTzzYzzazzfzzjzzozzszzzzzzzzzzzzz\ zzzzzzzziziIzO0z1czVczMczDzz4zzGvzS } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END 20.0 PAR-FORMULA FILE==================================

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Re: [Fractint] FOTD 11-01-02 (Julibrot Monster [5])
by gnome＠hawaii.rr.com 12 Jan '02

12 Jan '02

But I don't find ANY 2002 FOTDs at Paul's site! Argggh! I need a fresh new fix for beautiful fractals! Any idea what's going on? David gnome(a)hawaii.rr.com >FOTD -- January 11, 2002 (Rating 5) > >Fractal visionaries and enthusiasts: > >Today's image is a picture of a quadratic Mandelbrot midget. >But it does not look like a Mandelbrot midget. It looks like a >fragment of a horizontal slit. It looks like a horizontal slit >because that's what it is.

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Re: [Fractint] FOTD 11-01-02 (Julibrot Monster [5])
by JimMuth＠aol.com 12 Jan '02

12 Jan '02

Gnome wrote: >I don't find ANY 2002 FOTDs at Paul's site! Argggh! I need >a fresh new fix for beautiful fractals! >Any idea what's going on? I have not been in touch with Paul since the first of the year. Maybe he's on vacation. Have you tried Scott's site? If all else fails, run the parameter file. Save the entire FOTD message in your Fractint directory in ASCII text format. Give it a .par extension, and it will run like any parameter file. Jim M.

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FOTD 11-01-02 (Julibrot Monster [5])
by JimMuth＠aol.com 11 Jan '02

11 Jan '02

FOTD -- January 11, 2002 (Rating 5) Fractal visionaries and enthusiasts: Today's image is a picture of a quadratic Mandelbrot midget. But it does not look like a Mandelbrot midget. It looks like a fragment of a horizontal slit. It looks like a horizontal slit because that's what it is. Mandelbrot midgets are actually holes in the four-dimensional Julibrot figure, sliced in a particular direction. The holes are nowhere near hyperspherical. They are flat spaces with two extended dimensions (in the Z plane) and two contracted dimen- sions (in the C plane). These flat spaces are not unbroken, but are largely filled-in with low-iteration features. They are like places where midgets are possible if the low-iteration stuff can only be held at bay. Since the holes are actually four-dimensional, they can be sliced in many directions. When they are sliced in the contracted Mandelbrot or extended Julia directions, the slice is a nice small Mandelbrot midget or much larger mini-Julia set that fits nicely on the screen. But when the holes are sliced in odd directions, as is the case in today's image, the slice will contain both extended and contracted features, and will usually appear stretched, requiring anti-stretching and skewing to counter the distortion. In today's image, the stretching and skewing are only moderate, but some odd-angle images must be stretched by a factor in the thousands. More on the Julibrot and fourth dimension in general in upcoming FOTD's. I named today's image "Julibrot Monster" because of its vague resemblance to a monster's face. I rated it at a 5. The 9-minute render time is a bit slow, but the finished image may be downloaded from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The lack of sun Thursday here at Fractal central made the temperature of 57F 14C feel colder than it actually was, and prevented the fractal cats from fully enjoying their afternoon romp in the yard. But it was still the best day they have had in more than a week, which made them very enjoyable cats. It's now time for the real work to get started here at F.C. Until next FOTD, take care, and don't get mired in a state of fractal indeterminacy. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ Julibrot_Monster { ; time=0:09:17.61--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=multirot-XZ-YW-new passes=1 center-mag=+0.00000000128389097/-0.000000000542546\ 13/1.435616e+008/0.9341/-179.455993649140652/-68.7\ 194309865828359 params=158/-62/2/0/-1.120224512675\ 5/-0.2638790266846/-1.1202245126755/-0.26387902668\ 46 float=y maxiter=12000 inside=0 logmap=911 colors=000UlUUmUUmUUnUUnUUoUUoUUpUUpUUqUUqUUrUUrUU\ sVUsWQtXNuZJv`EvaGvbHvcIvdJudKueLtfMtgNsgPrhQriRqj\ SqjTpkUplVomUooWomXnkYmjZlh_kf`jeahcbfacd`dbZf`Xg_\ WkYUjYUhXTfWTdVTcUTaUT_TTYSTXRTVQTTQTRPSQOSONSMMSK\ MSJKRHIQFGPDEOBCNCAMDALDAKEAKEAKFAKGAKGAKHAKHAKIAK\ IAKJAKKAKKAKLALLAKMAKN9JN9JO8IO8IP7HN2IP7HQCHRGHSL\ GTQGUUGVZGWcFXgFYlFZpFYnGXmHWlIWkJVjKUiLUgMTfMSeNS\ dORcPQbQQ`RP_SOZSOYTNXUMWVMUWLTXKSYKRYJQZIP_HO`HMa\ GLbFKcFJdEIdDHeDFfCEgBDhBCiABj9Aj98k87l76m75n64o53\ p52p75n97mB9kDCjFEhGGgIIeKLdMNcOPaQR`RUZTWYVYWX_VZ\ bU`dSafRchPekOgmMioLisLjqKkpKlnJmmJnkInjIohHpgHqeG\ rdGrbFsaFt_EuZEvXDvWDwUCxTCyRBzQBzPByOCxODwOEwOFvO\ GuOHuOItOKsOMsOOrOQqNSqNUpNWoNYoN_nN`mOamPblQckRdk\ SejTfiUghVhhWigXjfYkfZle_md`ndaocbpbcqbcracs`ct`cu\ _cvZcwZcwYcwXcwXcwVcwUcwTcwScwRcwQcwOcwNcwMcwLcwKc\ wKcwKcwKcwKcwKcwKcwKcwKcw } frm:multirot-XZ-YW-new {; Jim Muth ; 0,0=para, 90,0=obl, 0,90=elip, 90,90=rect e=exp(flip(real(p1*.01745329251994))), f=exp(flip(imag(p1*.01745329251994))), z=f*real(pixel)+p3, c=e*imag(pixel)+p4: z=z^(p2)+c, |z| <= 36 } END 20.0 PAR-FORMULA FILE==================================

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FOTD 10-01-02 (Transformation [5])
by JimMuth＠aol.com 10 Jan '02

10 Jan '02

FOTD -- January 10, 2002 (Rating 5) Fractal visionaries and enthusiasts: The formula Z^3+0.3Z^2+C draws a fractal that on the surface resembles the cubic Mandeloid. Even the four prominent midgets appear to be cubics. But the deeper one looks, the more the midgets come to resemble quadratic midgets, until at a depth of today's scene, the transformation is complete. Being surprised by the gradual change in shape of the midgets, I named the image "Transformation". But the mathematical curiosity cannot carry the entire image. Artistic worth must also be present. Since today's image pictures little that we have not seen numerous times before, I could rate it only an average 5. The midget in the image is located just beyond the negative stem of a larger quardatic midget, which in turn is located deep in the East Valley of the large almost-cubic northwest midget of the fully-cubic-appearing parent fractal. On my faithful old 200mhz Pentium machine, the parameter file renders in about 8-1/2 minutes. On a faster machine, the wait will be less. The fastest way of all to see the image is to download it in finished form from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or if that fails, from: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> The fractal weather Wednesday began with a surprise ice storm, heralded by a spectacular rainbow in the west. The icy roads caused over one thousand accidents in the area, and had the local TV weather experts doing damage control once again. Their forecast at the time was 'some sun and warmer'. When the freezing rain stopped and the temperature finally rose to 48F 9C, the fractal cats awoke for a short romp in the yard. The conditions were a bit too cool and damp for their tastes, but they endured their hardship stoically. I now find myself with work to do, so it's time to cut this short and get busy with stoicism. But I'll return in 24 hours with more fractal stuff. Until then, take care, and be of happy heart. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ Transformation { ; time=0:08:21.80--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix4 function=ident passes=b center-mag=-0.23597594867764770/+0.884881240783589\ 70/1.38076e+010/1/-145/4.69939853502132632e-005 params=0.3/2/2/3/0/0 float=y maxiter=1600 inside=255 logmap=260 colors=000LRP_ENYCOVCOSBPRBP\ O9RL9RJ9SH8SF8TC6T96V86VBF_ELcGSgHZkKdnNktOqxRxzTz\ zVzz`zzgzulznrvgxt`zpVzmOqaGqS8uO0qV6o_EtcKrhRqkWn\ gVjcVg_VcWTYSTTPTPNTNKSJHSFFSBES8BR49R06R05R68OFCN\ NEKVHJaJGiLFqNEqLHqLLqKOqKSqJWqJZpN`pRdpVhnZlnapne\ tnivpkqpllqmhqncrpZrpVrqPtrKttGuuBuv5uv1qmLnecnY0c\ W5TVHHTT6Sd0Sn4RgCR`KRVSPO_PHmPBtO4zO0zO0zP0zR0xR2\ rS5gS9aTEZTG_WJ`YLaZNc_PdaRecTgdVheYhgZecac_d`WgZS\ iYOlVKnSGqPCtN8vL5yPBvSFuWKtZOqaTpdYnh`mkekniiqnhu\ rexxdzzczzazmizYpzVhzTaxSVuPOrOGpN9qK8rJ6rH5tG4uE4\ uC2vB1x90x80t96p9CmBHiBNeCScCY_CcWEhTEmPFrLFxJFzWF\ pgFcrFRqGOpGNnGKmGJlGGkGFiGChGBgG8gG6`KCWNHRPLLSRF\ WW9Z_4`d0chiZRk_Nl_Jm`Fn`Bna8pa4qc0rc0rc0me1ih9dkH\ `lOYnWSqcOtkKuqJtpHtnGtmFtlEtlCtkCtiBti9tk8tl6tm5t\ n5tp4tq6tr8tt9tuBtvCtxEtyFtzGtzHtzJtzKtzLtzNtzOtzP\ tzRtzOtzLtzKtzHtzFtzEtzBtz8tz6tz1tz0tz0tz6tz000 } 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 09-01-02 (Mad Dance [7])
by JimMuth＠aol.com 09 Jan '02

09 Jan '02

FOTD -- January 09, 2002 (Rating 7) Fractal visionaries and enthusiasts: Today's image, with its tortured, writhing arms, reminds me of a wild dance. I named it "Mad Dance". The image is a scene in a perturbed part of the hypercomplex Mandelbrot set. Since the hypercomplex set itself is a four-dimensional thing, when we perturb the starting point, we are actually drawing a slice through the eight-dimensional hypercomplex Julibrot figure. I have done little exploring in this fractal, so the things I find in it are usually as much a surprise to me as they are to the viewer. Much of the hypercomplex M-set is identical to the classic M-set, but some of it is entirely different. Today's image pictures some of the different parts. The twisted arms of today's image are like the hairline tendrils that appear just behind the valleys of perturbed classic M-sets. These twisted arms appear only in the perturbed hypercomplex M-sets. The ghostly blue feature partially hidden in the background is a part of the Hypercomplex set that I have so far been unable to find directly, though admittedly I have spent little time searching for it. Despite, or perhaps because of, the writhing arms, the image is striking -- a feature which earns it its rating of 7. The render time of just under 4 minutes is bearable, though a better way of viewing the image is to visit one of the following two web sites: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> If the first site has not yet been updated, try the second. The fractal weather today here at Fractal Central was sunny but chilly. The temperature of 38F 3C limited the cats to only a brief outing on the porch. It's probably a good thing they were outside only briefly, because the neighborhood bully tomcat was in the area, and if Tippy had met him, a fight would certainly have broken out. I see that it's now time for a day's work followed by some deep but unimportant pondering, and finally by a trip to fractal- land. I'll return in 24 hours with the continuing saga of my fractal adventures. Until then, take care, and the world will not end until the last fractal has been found. Jim Muth jamth(a)mindspring.com START 20.0 PAR-FORMULA FILE================================ Mad_Dance { ; time=0:03:47.07--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=hypermandelbrot passes=b center-mag=+0.1014957900912339/+0.007786208818525/\ 120.4113/1/170/6.39974184757363673e-014 params=0.7\ 071/0.7071/10/0/1e-013/0 float=y maxiter=12500 inside=255 logmap=10 symmetry=none periodicity=0 colors=000J3AJ3AI3AI3AI3AI3AI3AI3AI3AI3AI3AI3AI3AI\ 4AI5AI6AI7AI8AI9AIABIBCHCDHDEHEFHFGHGHHHIHIJHJKHKL\ HLMHMNHNOHOOHPPHQPHRPHSQHTQHUQGVPGWPGXPFYPFZPF_PE`\ PEaPEaPEaPDbPDbODbOCcOCcOCdOCdOBdOBeOBeOAfOAfOAfN9\ gN9gN9gN9hN8hN8jN8jN7jN7kN7kN7kN8lO9nP9oQAoRApSBsT\ CtUCtVDuWDwXEwYFyZFz_Gz`GzaHzbIzcIzdJzeJzfKzgKzgMz\ hNxhOviQsiRqiSnjUljVikWgkYdkZbl_`laZmbXmcVmeTnfRng\ PniNojLokJpmHpnFpoDqqBqr9rs7ru5rv3sw3sx3sv3pu6nt8l\ sBjrEgqGepJcoManO_mRXlUVkWTjZRi`Ph_OgZOgZOfYOeYOeX\ OdXOdWOcVObVObUOaUO`VP`VQ_WR_WSZXTYXUYYVXYWWYXWYYV\ YZVY_UY`TYaTYbSYcRYdRYeQYfQYgPYhPYiPYjOYkOYlOYmOZn\ NZoNZpN`qN`rMasMbtMcuMcvLewLexLeyKfzKfzKfzKfzKfzKf\ zKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzK\ fzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfz\ KfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKfzKf\ zKfzKfzKfzKfzKfzKfzKfz030 } frm:HyperMandelbrot {; periodicity must be turned off a=(p1),b=(0,0): q=sqr(a)-sqr(b)+pixel, b=(p2+2)*a*b+p3, a=q, |a|+|b| <= 100 } END 20.0 PAR-FORMULA FILE==================================

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Lee Skinner exhibit now open
by Erik Reckase 08 Jan '02

08 Jan '02

Many of you have seen Lee Skinner's Carr2821 series of images, but how many of you have rendered them all? I am pleased to announce that I have placed all of these images into an on-line gallery, in a (hopefully) easy to navigate website, downloadable in a number of different formats and sizes. The address is : http://www.thefractalist.net Although I primarily use UF for fractal generation, I've used Fractint a great deal in the last ten years, and I'm happy to be able to keep these images alive online for perusal and inspiration. Comments and questions can be directed to me at erik(a)thefractalist.net Thanks! Erik Reckase __________________________________________________ Do You Yahoo!? Send FREE video emails in Yahoo! Mail! http://promo.yahoo.com/videomail/

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