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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: Today's image is a very deep zoom into one of the side filaments radiating from the minibrot in yesterday's image, which I found in the eastern part of the basin of attraction of the large minibrot on the negative X-axis of the Mandelbrot set. There is another similar minibrot at the center of today's image, but it is so small that it occupies only one pixel. At the scale of yesterday's image, the entire Mandelbrot set would be about the size of our solar system. At the scale of today's image, it would probably be near the size of the entire visible universe. And this is only the beginning. No wonder I named the image "Depth Without Limit". Unable to decide on a rating of 7 or 8, I rated today's image at a 7-1/2. Since the magnitude is well beyond the limit of fast double-precision math, the image is a rather slow one, finishing in 19 minutes on the fast machine and in about 1-3/4 hours on the slow unit. But relief for boredom is at hand, for I have sent the finished image on ahead to Paul at the FOTD web site, so by the time this discussion hits the Internet, the finished image should already be posted, ready for viewing at: The impossibly perfect weather came to an end on Thursday here at Fractal Central when it rained all day and the temperature never rose above 54F 12C. The fractal cats ignored the rain, busying themselves instead by chasing each other up and down the hallway. A fight nearly broke out when Cassie leaped from the side-by-side and landed right in front of Nicholas, but luckily, Nicholas, a true gentleman cat, refused to strike a lady. My day was rather busy. The next FOTD is due to be posted in 24 hours. Until then, take care, and some fractals are only half-infinite, but that doesn't make them any less. Jim Muth jamth@mindspring.com jimmuth@aol.com |
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