Fractals Generated by the Weierstrass P Function
Fractals Generated by the Weierstrass P Function
The definition of the Mandelbrot set is based on the mapping . This Demonstration uses a variation of the mapping, , where is the Weierstrass function, , , and are real, and is complex. The escape radius is , the initial value is (restricted to be in a region), and the function is computed at resolution .
z↦+c
2
z
z↦c(℘(z;a,bi)+)
c
0
℘
a
b
c
0
c
r
x+iy
2d×2d
δ