Out of stealth mode... Jim: For all the time that I have been on the list I have not once seen an FOTD below a 4. Is it similar to our national threat level, where we will never see a green or a red level? Curiosity is just killing me at this point. A fellow Fractalier, Into stealth mode... -----Original Message----- From: fractint-bounces@mailman.xmission.com [mailto:fractint-bounces@mailman.xmission.com] On Behalf Of Jim Muth Sent: Sunday, June 29, 2003 9:54 AM To: fractint@mailman.xmission.com Cc: philofractal@lists.fractalus.com Subject: [Fractint] FOTD 29-06-03 (Time Lash [5]) FOTD -- June 29, 2003 (Rating 5) Fractal visionaries and enthusiasts: Today's image was created by the MandelbrotMix3 formula. This formula mixes together and iterates four different powers of Z. But it has a down side. It does not automatically initialize Z to a critical point of the formula. That task must be done by hand, and the resulting value entered as real(p5), which is the reason I use the formula so rarely. Formulas such as those calculated by the M-Mix3 formula have several critical points, which are points where the function is stationary and midgets thrive, so several different fractal images can be obtained from the same formula when the critical points are calculated by hand. This is one of the good points. But big disadvantages are that calculating critical points is boring work and the resulting fractals are not that much better than those created by the MandelbrotMix4 formula. Today's parent fractal for example mixes various portions of Z^(10), Z, (1/Z), and Z^(2). The resulting image, which resembles a flying saucer or Marvin the Martian wearing an army helmet, could just as easily been created by the MandelbrotMix4 formula. The unusually precise value of real(p5) is one of the critical points of the formula, which I calculated and entered by hand. The parent fractal has X-axis symmetry, with a tiny East Valley just where it should be, and many other valleys that also probably hold worthwhile images. Today's scene is an unusually shallow one located in this East Valley. Today's image rates an average 5, largely because of its spectacularly brilliant colors, which I tweaked in a graphics program. Those who run the parameter file need not be concerned about missing the enhanced colors. The colors are fully encoded in the parameter file. The name of the image, "Time Lash", was chosen while I was watching a 'Doctor Who' episode of that name on TV late Saturday night. The render time of 1/10 second over 10 minutes on my machine, which is nearing the fossil stage, can be cut at least in half on newer units. And as always, the completed GIF image can be downloaded for convenience from one of the FOTD web sites at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and at: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Though lots of clouds hung around here at Fractal Central on Saturday, they were thin enough to let the temperature reach 82F 28C -- near perfect cat conditions. Enjoying the conditions to the fullest, the dynamic pair had a peaceful day in the yard. The pushy cat from two doors down the hill stayed where he belongs for a change, so their peace was uninterrupted. Today is starting sunny, and the temperature is still near ideal, but showers are possible. It remains to be seen how the cats' day will go. I'm going to spend the day doing as little as possible. If I get ambitious, I might resume work on the FOTD CD, which has been nearly but not quite ready for several months. I'll probably end up releasing the CD in imperfect form, but I'm not quite ready to give up hope of perfection yet. Until next FOTD, take care, and stay in there with the big-time thinkers. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Time_Lash { ; time=0:10:00.10--SF5 on a P200 reset=2002 type=formula formulafile=allinone.frm formulaname=MandelbrotMix3a function=ident passes=1 center-mag=+1.506891153995481/-0.00013746456513907\ /205962.1/1/-172.5/2.01858393888976195e-009 params=0.001/10/1/1/1/-1/0.1/2/-1.403897684563/0 float=y maxiter=4200 inside=0 periodicity=10 colors=000z0zz0zz0zv0zP0z0lz0zz0zz0zz0zz0zz0zz0zz0\ zz2zz6zzBzvGzhKzZPzPUzBZz2cz0hz0vz0zz0zz0zz0zz0zz0\ zz0zz2zz6qzBhzGZzKPzPBqU2cZ0Pc0Bh02l00q00v00z00z6K\ 6zz0zz0zz0zz0zz0zz0zz0zq0lc0cK0P60G0220G00P00c00l0\ Xz0Wx0Vw0Uv0Tu0St0Rs0Qs00s00s00t00t00u00u20w20w60z\ B0zB0zG0zG0zG0zG0zP0qU0Zc0Gh20lB0vK0zU0zc0vZ0lU0cU\ 0ZP0PP0GK0BK02G00G00B00B00600200200000000000000000\ 000000000Z0zzPzzzzzzzzvzzhzvUzZGzG2h00P00600000000\ 00000000000000000000000000000000000000000000000000\ 000000000000000600B00K00P00Z60cG0hK0qU2vc2zl6zvBzz\ BzzGzzKzzKzzPzzUzzUzzZzzczzczzhzzhzzhzzlzzlzzlzzqz\ zqzzqzzvzzvzzvzzzzzzzzzzzzzzzzzzzzzzvUzK0z00z00P00\ 0000zz2zz6zzBzzGqzKlzKczPZzUPvZKqcBhc6ch0Zl0Pq0Kv0\ Gv06z02z00z00z02z2BqUKhqPczZUzhKzlGzP6z62z00z00z00\ z00z00z00z00z00z00z02z06z0Bz0Gz0Kz0Pz0Zz0cz0hz0lv0\ qv0vq0zl0zl0zh0zGUzU2zl0z } frm:MandelbrotMix3a {; Jim Muth z=real(p5), c=fn1(pixel), a=real(p1), b=imag(p1), d=real(p2), f=imag(p2), g=real(p3), h=imag(p3), j=real(p4), k=imag(p4), l=imag(p5)+100: z=(a*(z^b))+(d*(z^f))+(g*(z^h))+(j*(z^k))+c, |z| <=l } END 20.0 PAR-FORMULA FILE================================== _______________________________________________ Fractint mailing list Fractint@mailman.xmission.com http://mailman.xmission.com/cgi-bin/mailman/listinfo/fractint