FOTD -- August 27, 2007 (Rating 8) Fractal visionaries and enthusiasts: Today's image takes us on another visit to the Mandelbrot set. The trip may at first appear dull, but with more time to search, I have found a better scene. I found it rather deep in the 'star' of a small period-22 bud on the northeast shore of the main bay, very near the large period-3 north bud. The image shows a midget with a surprising number of tendrils spiralling from it. I named the image "North Shore Action" because there certainly is action in the image. Then I rated it at an 8. I put enough effort into the coloring to justify the rating. Perhaps the most striking thing about the image is its magnitude of over 6*(10^13), a magnitude usually beyond the range of the fast conventional math routine. But for some reason, today's image holds up even without invoking the much slower but much more accurate arbitrary precision math routine. I have included the 'mathtolerance=0.05/1' entry in the parameter file to assure that the image finishes in seconds rather than hours. I have been concentrating my fractal activities so frequently on the Mandelbrot set recently because of the incredible speed at which the P4-2000mhz unit calculates the type=mandel fractals. The type=julia is just as fast, though I use it far less often. Other fractal types may be as fast also, but if so, I have not yet found them. As an example of lightning speed, today's image finishes in a little over 6 seconds on the P4-2000 machine. On the old P200 it takes 2 minutes -- almost 20 times as long. Today's image is also a good example of the use of negative logmap values. The setting of negative 1556 spreads the color bands more evenly over the entire range of iteration values. A setting of positive 1556 concentrates the colors too narrowly in the bands with the lowest iteration value, and spreads them too broadly in the higher value bands. To see today's image, run the included parameter file or visit the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> and view the finished image there. Even with mostly cloudy skies, Sunday was a far more pleasant day here at Fractal Central. A temperature of 79F 26C is far easier to live with than one of 97F 36C. The fractal cats must have agreed, for they spent most of the day watching the ongoing TV show beyond the windows. A window is a cat's television. I spent my day recovering from the day before. The next FOTD image will be posted in 24 hours. Until then, take care, and fractals are like sub-atomic particles. They don't become real until they are observed. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= North_Shore_Action { ; time=0:00:06.14-SF5 on P4-2000 reset=2004 type=mandel passes=1 logmap=-1556 center-mag=-0.04410362337750159/+0.652478579761549\ 50/6.29347e+013/1/-25/0 params=0/0 float=y inside=0 maxiter=8500 periodicity=10 mathtolerance=0.05/1 colors=000TKUUKUVKUWKUXKUYKUZKU_KU`KUaKUbKUcKUdKUe\ KVfKWgHYhG_iF`hEZgEXfEWfEUeETdERdEQcEObDMbDLaDJ`DI\ `DG_DFZDDZDCaCGcBKeAOg9Sj8Wl8_n7cp6gs5ku4ow3sy3wu4\ vq5vm5vi6ue6ua7uY7tV8tR9tN9sJAsFAsBBm7Bh3Cc0CZ8NUG\ P0ER3CV6BY89aB8gDCkEGoFJsGNtGRtHUtIYtJatJdtKhuLlvM\ zwMzxNzyOzzOzvQzsSzpTzmVrjXogYge_abaWWaPPaTNUXLUYJ\ UdMgeOgbSgZVfWYeS_cP`bLbaId`EeZBgY7iX4jW8lUBmSFnQI\ oOLpMPqKSrIWsGZtEauCevAhw8lx6oy4rz2qv5qr7qnAqjCpfE\ pbHpZJpVLpROoNQoJSoFVoBXo7Zp8Xp8Wq9Vq9Ur9TrASsARsB\ PtBOtBNuCMuCLvDKvDJvDIwAOx8Ty6Zy4cw8duBesEfrIgpLhn\ OilSjkVkiYlgamedndhobmp`rq_vrbzsezthzukzvmzwizsfzp\ czm_zjXzgUzcRz`NzYKzVHzSEzOAzL7zI4zF1zC4zB7zBAzBCz\ BFzBIzBKzBNzdozxpzvqztrzrrzpszotzmtzkuzivzhvzfwzdx\ zbxzahz_UzYFzWCzY9zZ6z`3za7z_AzZDzYHzXKzWNzURzTUzS\ XzR`zQczOfzNjzMmzLpzKszJfzTVzaZz`bz_ezZizZmzYpzXtz\ WwzWwzWwzWwzWazIIzIozIjzG } END PARAMETER FILE=========================================