FOTD -- September 08, 2003 (Rating 6) Fractal visionaries and enthusiasts: The later than usual FOTD is a result of a heavier than usual work load earlier today. Sometimes in life the unexpected happens. This is true not only in the fields of fractals, relativity and Q.M., but in ordinary chemistry as well. I still remember the day in high-school physics lab when the instructor produced a sealed tube contain- ing a clear liquid. (I don't think it was water. It might have been CO-2.) He then asked the class what they thought would happen when he heated the tube. Most said that the liquid would boil away. Remembering that increasing the pressure raises the boiling point, I said that the amount of liquid in the tube would grow smaller, evaporating away without boiling until the last drop evaporated from the bottom of the tube. What actually happened surprised even me. As the instructor heated the tube, the surface of the liquid filling the lower part of the tube soon grew vague. It became blurred and wavy. The whole tube looked like it held liquids of two different densities, which were mixing together. And then the optical effects were gone. The instructor said the tube was now filled with only high-pressure gas. Neither I nor anyone else in the class had expected this to happen. The instructor had just demonstrated the critical temperature and pressure of whatever liquid was in the tube, the temperature above which the substance would be in the form of gas regardless of the pressure applied to it. Today's fractal demonstrates what happens when 0.2 part of Z^3 is subtracted from Z^2. The resulting M-set has strange things happening along the X-axis east of East Valley. Today's image lies in a shallow spiral rather deep in East Valley. I once again colored the outside with the 'fmod' option, and named the image "Trying Again". It's better than yesterday's effort, but still nothing to brag about. The rating of 6 is appropriate. The render time of 54 minutes however is excessive for such an image. The best way of viewing the scene is to download the finished GIF image from: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> or: <http://sdboyd.dyndns.org/~sdboyd/fotd/index.html> Sunday was another perfect day here at Fractal Central, both with the weather and with the cats. The sunny skies and temperature of 81F 27C could not possibly be bettered. Cats that behave like angels for an entire day cannot be bettered either. Days like this come only once or twice a year, and we made the most of it while it lasted. Except for more clouds, today is again almost perfect. Could three perfect days in a row be possible? The cats are currently enjoying the yard, so check back in 24 hours to find out how the rest of the day goes. Until then, take care, and maintain that sense of wonder. Jim Muth jamth@mindspring.com jimmuth@aol.com START 20.0 PAR-FORMULA FILE================================ Trying_Again { ; time=0:54:00.04--SF5 on a p200 reset=2002 type=formula formulafile=slices.frm formulaname=MandelbrotMix2way passes=1 center-mag=+0.28383179310875450/+0.000005192775516\ 76/5.640753e+009/1/90/3.88578058618804789e-016 params=1/2/-0.2/3 float=y maxiter=2800 inside=0 proximity=0.085 outside=fmod periodicity=10 colors=0006VL6UK3TJ3SI3RH3QG0PFphlshkshkshkthithit\ hivhgvhgvfgvfgxfexfexfezfczfczfczfczfazfazfazf`zf`\ zf`zhazf`zf`zf`zf`zf`zf`zf`ydZydZxdZwdZvdZudZtdZsc\ WtcWqcWpcWocWncWmcWlbVkbVjbVibVhbVgbVfbVeaTdaTcaTb\ `Ta`T``T__TZZRY_RXZRWZRVZRUYRTYRSYORYOQXOPXOOXONWO\ MWOLWMKVMJVMIVMHUMGUMFUMETKDTKCTKBSKASKBSKCRMDRKDS\ KDSKDTIDTIDUIDUIDVGDVGDWGDWDDXDDXDDYDDYBDZBDZBD_BD\ _9D`9B`9Ba6Ba6Bb6Bb6Bc3Bc3Bd3Bd3Be0Be09f09f09g09g0\ 9h09h09i09i09j09j06k06k06l06l06m06m06n06n06o06o03p\ 03p03q03q03r03r03s03s03t03t00u03u03v03v03w03w06x06\ x06y06y06z09z09z09z09z09z0Bz3Bz6Bz6Bz9Bz9DzBDzBDzD\ DzGDzGGzIGzIGzKGzMGzMIzOIzOIzRIzTIzTKzVKzVKzWKzZKz\ ZMz`MzaMzcMzeMzgOzhOziOzjOzkOzlRzmRznRzoRzpRzqTzsT\ zuTzwTzyTzzTzzRzyRzwRzuOzsOzqOzpOyoMxnMwmMvlMukKtj\ KsiKrhKqgIpfIoeIndImcGlbGkaGj`Gi_DhZDgYDfXDeWBdVBc\ UBbTBaS9`R9_Q9ZP9YO6XN6WM } frm:MandelbrotMix2way {; Jim Muth z=0,0, c=pixel, a=real(p1), b=imag(p1), d=real(p2), f=imag(p2): z=(a*(z^b))+(d*(z^f))+c, |z| <= 100 } END 20.0 PAR-FORMULA FILE==================================