Generalized Mandelbrot Sets and Moduli Spaces
of   f(z) = z ⁿ + c

in the Fractal Gallery of William Gilbert

Mandelbrot set for   n = 2	Moduli space for   n = 2

Mandelbrot set for   n = 3	Moduli space for   n = 3

Mandelbrot set for   n = 4	Moduli space for   n = 4

Mandelbrot set for   n = 5	Moduli space for   n = 5

Mandelbrot set for   n = 6	Moduli space for   n = 6

Mandelbrot set for   n = 9	Moduli space for   n = 9

Mandelbrot set for   n = 14	Moduli space for   n = 14

Mandelbrot set for   n = 22	Moduli space for   n = 22

Click to see the mathematics behind the pictures