Complex Domain Coloring » Elliptic functions

Complex Domain Coloring
Portraits of complex functions of complex variable, created using so called complex domain coloring.

Elliptic functions

These meromorphic functions are doubly periodic in the plane. includes pictures of both Jacobi and Weierstrass elliptic functions.

A Jacobi elliptic function sn(z,k)	Sn(z,k) for different value of k.	(sn(z,k))², argument only with gradient.

A Weierstrass eliptic function ℘(z,τ).	Another picture of ℘(z,τ) for different value of τ.	Argiument of the Weierstrass elliptic function

Argument of the square of a Weierstrass elliptic function.	Argument of i(℘(z,τ))².