Central symmetry in the Mandelbrot set M. Romera and J. Negrillo Benoit B. Mandelbrot discovered the Mandelbrot set in 1980. As is well known, this set has axial symmetry (the symmetry axis is the real axis). It is also known that if we look at a very little zone of the periphery of the Mandelbrot set with a powerful microscope we often see a picture with central symmetry. There is an infinity of beautiful pictures with central symmetry in the Mandelbrot set. To find any of them is an exciting task. I show forty two here. Each picture has a resolution of 750 x 750 pixels and 256 colors. They have been drawn using our program MJ11 (1991) that incorporates the Milnor algorithm. Some of the pictures are variations on pictures due to Branner, Davis Philip and Misiurewicz. Click on a thumbnail to see a larger image. |
    
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Last update: 11/17/00 |
