FOTD -- December 09, 2008 (Rating 6) Fractal visionaries and enthusiasts: Are your FOTD's for December 7 and 8 missing? I think the Fractint list has been having problems, so I'll post the FOTD to both the Fractint and Philofractal lists until I'm sure the Fractint list is up and running again. Meanwhile, the FOTD images and discussions for December 7 and 8 are posted on the FOTD web site. Today's image is named "Study in Magnitude". I gave it this name because its magnitude of over 1.7*(10^13) is one of the greatest in FOTD history. The mathtolerance entry is absolutely necessary to reach this magnitude, and even then, the signs of resolution breakdown are apparent along the sharp edges. The rating of a slightly-above-average 6 is all I could give the image, which has little but its magnitude going for it. The tiny order-7 minibrot at the center is immersed in a field of near total chaos. Do not try to zoom into the image with the type=formula DivideBrot5 formula. The breakdown gets very bad very fast beyond this point. Deeper zooms are reachable however with the type=dividebrot5 formula available in the latest release of Fractint. Arbitrary- precision math can be used with this version of the formula, albeit at the cost of a great slowdown in calculation speed. The scene of today's image is in a tiny bit of debris near the center of the main bay of its parent fractal, which is a Mandelbrot set starting to morph into a Z^7+C Mandeloid. The calculation time of a fleeting 31 seconds seems about fair for an image only a bit above average. And if even this is too slow or requires too much effort, the finished image may be seen on the FOTD web site at: <http://home.att.net/~Paul.N.Lee/FotD/FotD.html> along with the missing FOTD's for December 7 and 8. Thick clouds here at Fractal Central on Monday kept the fractal cats away from their favorite window; the temperature of 21F -6C kept them near the heat. My day was about average. The next FOTD will be posted in 24 hours. If it doesn't appear on the Fractint list, check the philofractal list. Until then, take care, and let's get that old controversial fractal-related philosophy rolling again. Jim Muth jamth@mindspring.com jimmuth@aol.com START PARAMETER FILE======================================= Study_in_Magnitude { ; time=0:00:31.09-SF5 on P4-2000 reset=2004 type=formula formulafile=basic.frm formulaname=DivideBrot5 center-mag=-1.126254785676\ 128/+0.00979922650540156/1.766964e+013/1/15.2/0 params=7/4 float=y maxiter=500 inside=0 logmap=57 periodicity=10 mathtolerance=0.05/1 colors=000H2HK5GN8GQAFTDFWGFZIIaLMeNQiQUmTZqVcuYcy\ _crWEmUFhSGcQF`PAeUFdUFmcFUcTMcfOct8xQArTBmWDgZEb`\ GXcHSfINhMReQVbUY_YaXadUdhRhkOloLprItvFwyCmfzcPzV7\ zW9zXAzXBzYCzYDzZFzZGz_Hz`Iz`JzaLzaMzbNzbOzcPzcQz`\ NjYKnVIrSFvQDzRCzRCzSBzSBzSBzTAzTAzTAzU9zU9zU9zUAz\ UAzUBzUBzUBzUCzUCzUDzUDzUDzXGzZIz`KzbMzeOzgQziSXkU\ YnWYpYZr_Zta_vc_nbcgam_`zT`zUXzVTzWPzXLzYHzZDz_9z`\ 5za1zW2zQ3zK4zE5z95zCEzFNzIWzLdzNlmRkzVkzYcMacMecL\ hcLlcKpcKscKpcJncJlcJjcIgcIecIccHacH_cHVizRXzUEzWG\ zYHz_IzaJzcKzeMzgNzhOzjPzlQznSzpUzrUztVzuWzjTz`Qzl\ nzahzRbzOZzMWzKSzHPzFMzDIzBFz8Dz6Gz4Iz2Lz3Oz4Rz4Uz\ 5Xz5_z6bz7ez7hz8kz8nzAqzCtzDwzFzzHzaIzbKzdMzfNzgPz\ iRzkSzlUznWzpXzqWzpVzpUzoUzoTznSznRzmRzmQzlPzlOzkO\ zkNzeMz`MzWLzRKzLKzGJzBJz6LzOMzeNzvLzmKzdIzWHzOLzQ\ OzSSzTVzVZzWazYezZhz`lzaozcrzdjznhzjgzgezddzabzZaz\ W_zTZzQuzpuztkzlazdTzXJzP } frm:DivideBrot5 { ; Jim Muth z=(0,0), c=pixel, a=real(p1)-2, b=imag(p1)+0.00000000000000000001: z=sqr(z)/(z^(-a)+b)+c |z| < 1000000 } END PARAMETER FILE=========================================