FOTD -- February 07, 2003 (Rating 7) Fractal visionaries and enthusiasts: I notice a letter on the Fractint list requesting the method of running the parameter files that I attach to the FOTD discussions. The process is simple. First, save the entire FOTD message in the Fractint directory as a pure text file with a .par extension. Be sure no lines wrap around and no extra characters (such as =3d) are inserted into the text by your e-mail reader. Then load Fractint and run the saved parameter file as you would any other parameter file. If all goes well, and it usually but not always does, the image will begin rendering, and when it is finished, can be explored like any other fractal. Today's image runs from the attached parameter file in 17 minutes on my machine at a resolution of 640x480x256. It is another of my evaporated images, and a very good one at that. The formula that created the image combines 12 negative parts of Z^(-1.6) with 9 negative parts of Z^(-10), then adds 1/C instead of C. The 1/C turns the normally inside-out parent fractal inside-out again, which results in a rightside-out fractal. In its un-evaporated form, this parent is a large, indescribable main open area, with many bays and estuaries, and a smaller, cut-off, more-Mandel-shaped figure to the east. The main bud of this cut-off feature is split down the middle by a spurious valley. Today's scene is located near the end of a filament extending from a bud on the shoreline of this valley, very near the point where the filament terminates in a large, oval open area. For this particular image, I used the MandelbrotMix2 formula rather than the MandelbrotMix4. Finding the name for today's image was easy. The detail in the converging arms so closely resembles the tendrils of a vine that the name "Fractal Tendrils" came almost automatically. Considering the unusually close resemblance of the fractal image to an actual physical object, the rating of a 7 is well justified. I have long considered the names I give to my fractal images. Fractals are abstract things, so should they be given the names of the physical things which, in my opinion, they resemble? Perhaps I should invent clever sounding nonsense words and phrases to serve as names for my images. I briefly considered a name such as "Vineroptera" for today's image. A whole new situation arises with languages other than English. For example, the Julibrot, which I explore so often, when translated into German, means something like "Bread of July" -- an interesting title, but one with little to do with the four- dimensional object in question. As I mentioned earlier, the parameter file of today's image renders in 17 minutes. That time may be cut to a minute or so by going to Paul's web site at" <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or to Scott's site at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> and downloading the pre-rendered GIF image file from there. The clouds increased all day Thursday here at Fractal Central, but the snow held off until after dark. The high temperature of 34F 1C was quite chilly for the sensitive whiskers of the dynamic duo. The extra outing I gave them right before sunset will have to hold them for a few days, for the snow is still falling lightly this morning, with 7in 18cm on the ground. Luckily for me, the work is not piling up as fast as the snow. In fact, I should have most of it behind me by lunch time. That will leave me with nothing to do but watch the snow and search for the next FOTD. Until tomorrow, take care, and be of stout mind and slim body. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Fractal_Tendrils { ; time=0:17:43.85--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix2 function=recip passes=1 center-mag=+1.47367288202595900/+0.009826951264489\ 44/6.910667e+008/1/-65/-7.88200783911896519e-006 params=-12/-1.6/-9/-10/0/1e+100/0/0 float=y maxiter=600 inside=bof61 logmap=166 periodicity=10 colors=000OT_OUZOUYOVXPVXPWWPWVPXUPXTQYSQYRQZQQZPR\ _OR_NR`MR`LRaKSaJSbISbHScGQcBScGTcKVcOWcSYcWZc_`cc\ acgcckdcoecsfcsfdtfdtfdtdeqcfnbfk`gh_geZhbXh_WiXVi\ VUjSSjPRkMQkJOlGNlDMmAMn9Lm8Ll8Lk8Lj8Lj8Li8Lh8Kg8K\ f7Kf7Ke7Kd7Kc7Kb7Jb7Ja7J`7J_6JZ6JZ6JY6IX6IW6IV6IV6\ IU6IT5IS5HR5HR5HQ5HP5HO5HN5HN5MP6RR6VS6_U6dV6hX6mY\ 6t_6xa5xc6we6wf7xk7yc7yc8z`8za8z_9zg9zW9zcAtTAuaAu\ SBvZBuRBsYCrQCqPCoODoUDmNElNEkMEiLFhLFgKFeJGdJGcIG\ aIHaHHaGH`GI`FI`EI_EJ_DJ`CH_DJZDKYDLXDMXDNXDOXDPXD\ QXDRYDSYDTYDUYDVYDWXDXWDYVDZUD_TD`UCbTDaTD`TD_TDZS\ DYSDXSDWSDWREVREURETRESRERQEQQEQQEPQEOPFNPFMPFLPFK\ PFKOFJOFIOFHOFGNGFNGENGDNGDMGCMGBMGAMG9MG8LH7LH7LH\ 6LH5KH4KH3KH2KH1JF0KH1LI1MK1ML2NN2OO2PQ3PR3QT3RU4R\ W4SX4TZ5U_5Ua5Vb5Wc6Xc6Xc6Yc7Zc7Zm7_m8`m8am8am9bc9\ cc9cc9bcBbcCacEacFacG`aI`YJ`VK_SM_ONZLPZIQZERYBTY8\ UY5VMQfMQeNRdNRcNSbNSaOT` } frm:MandelbrotMix2 {; 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 20.0 PAR-FORMULA FILE==================================