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Fractal of the Day
by Jim Muth
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Fractal visionaries and enthusiasts: I do not usually put much effort into searching for Julia sets. It's not that I consider them less interesting, but rather that I spend most of my fractal time searching for quadratic midgets in fractals created by the MandelbrotMix4 formula. Occasionally however, I do venture into julia territory, (as well as all the other territories that exist in the world of four dimensions). And of all the Julia sets I have stumbled upon, none is more curious than the one in today's image. The julia object that fills today's image is truly indescribable. It might be some bizarre alien creature from outer space, or some weird heraldry design. Whatever else it resembles, the image is obviously full of the same railway-track filaments that appeared in the 2 most recent FOTD's, and it is these tracks that led to the name "Julia Railyard". At the two main branching points, as well as the smaller points, open rectangles appear. These are virtually perfect rectangles. I know of no more-perfect rectangles in all the world of fractals. In the past, I have posted several FOTD images of strange things that happen to these rectangles when the parameters are changed even slightly, and the even stranger things that happen to the rectangles, as well as the entire Julia fractal, when the view is rotated in the fourth dimension. I have rated the picture a 6, mostly because I am familiar with the scene. If I had just discovered the image, I would have rated it a 7 or 8. No formula is included in the parameter file because it uses the built-in julzpower formula already in the Fractint program. The 1-1/2 minute render time at SF5 resolution is quite reasonable, but as always, the pre-rendered GIF image is available on the WWW at: The fractal weather Wednesday was a bit too warm to be ideal, especially for early October. The temperature of 88F 31C and hot sun kept the dynamic duo in the shade of the holly trees most of the afternoon. Only when the sun left the porch did they return to their porch chairs. And I've got a bit too much work ahead of me for my situation to be considered ideal. But a bit of effort applied in the right places can soon change that situation. Until I get started, I can't get finished however, so until tomorrow, take care, and the fourth dimension was here yesterday. Jim Muth jamth@mindspring.com |
START 20.0 PAR-FORMULA FILE================================
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END 20.0 PAR-FORMULA FILE==================================
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