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3D representation of the Mandelbrot set

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Abstract

A new 3D representation of the Mandelbrot set is presented. Although the method employing the Douady Hubbard's potential function has been useful for the 3D representation of the Mandelbrot set, in our new method 3D pictures are generated by setting height components normal to the plane of the original Mandelbrot set. The pictures obtained look like natural landscapes with cliffs.

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Nagashima, K., Morimatsu, H. 3D representation of the Mandelbrot set. The Visual Computer 10, 356–359 (1994). https://doi.org/10.1007/BF01900831

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