Generalized Mandelbrot Sets of a Family of Polynomials

Table 1

Comparison between the Mandelbrot set generated with P(z) = z^2 + c and the general Mandelbrot sets of GM(P_2) and GM(P_3).

	Fractal	Symmetry	Area	Topological properties
M ( + c)	Quasi-self-similarity	Around the x-axis	1.72	Compact
GM	Quasi-self-similarity	Around the x-axis	1.6456	Compact
GM	Quasi-self-similarity	Around the y-axis	2.1952
G(MPn)	Quasi-self-similarity	Around some diagonal		Compact