3DMandy

Deep zoom on a "3D Mandy" inside the Tetrabrot with the MBE8D Software. In multicomplex dynamics, the Tetrabrot is a 3D generalization of the Mandelbrot set. Discovered in 2000, this 3D Fractal shape can be interpreted as a 3D slice of the 8D tricomplex Mandelbrot set. The colors on the picture are generated in conformity with the generalized Fatou-Julia Theorem in multicomplex spaces. Each color is related with the topology of the filled-in Julia set corresponding to the 3D point of the Tetrtabrot.