http://jwm-art.net/mdz/gallery/oldwooddish.png
Jonathon Leavitt, a Mandelbrot explorer, the discoverer* of 'de-bifurcation' or 'reverse-bifurcation' within the Mandelbrot Set. This is what you're looking at: oldwooddish - homage to leavitt #3 - 'reverse-bifurcation'. to find such images, you must be aware of a rule, as in the ancient drawing language LOGO but you follow the paths of the twists and the turns and distances along the infinitely twisted border of the Mandelbrot Set. as you are no doubt aware, you can zoom in and zoom in for ever within the mandelbrot set and still see self-similarity. this reverse bifurcation is a little different however, it only appears to possess fractal bifurcation - in theory? now, take the image i am showing you, divide it in half along the line of symmetry and count the branches - 128. 128 64 32 16 8 4 2 1 after making 4 branches off a single main branch, to get to 8 branches, zooming further deeper takes one back through two branches, 4 branches, before 8 branches are found. one must remember the correct place to make the branching magnification instead of heading straight to the center all the time. the location of the oldwooddish image within the mandelbrot set (which itself is located within the complex (2D) plain bound by a radius of 2.0 (centered on 0,0)) is: -7.621179376797638683152412470302754234697554266277384201803182452707988048871166668157739268919140091423417335237629214081127371665327888360528335010378835950994472786588199757e-1 9.573175593807915218110127195876981729185284295753173780078525497988166932168660068170631431015884613850090347745780605812248444859260422571076360932193737688403082995582081506e-2 and the numerical range from the left of the image to the right of the image is: 1.796668676625665441038967911552250775193750305575687707926958355510177201240113669896258768588917386783877219879474166891511967516410809575490262066086562660939534951057637354e-152 128 branches is the limit of the fractal bifurcation of the emblem in this image. i feel like i constructed it, but i did not, it exists whether anyone discovers it or not. somewhere, is the same image with 256 branches, somewhere else, there is 512, 1024, 2048, 4096, 8192, 16384, 32768, 65536... it's hard to believe that these things exist without someone constructing them by carefully selecting magnification sequences. they exist! * see http://mrob.com/pub/muency/reversebifurcation.html -- _ : http://jwm-art.net/ -audio/image/text/code/ _______________________________________________ NetBehaviour mailing list NetBehaviour@netbehaviour.org http://www.netbehaviour.org/mailman/listinfo/netbehaviour
