Figure 1(a): A periodic orbit starting from the lattice generated by (φ,1) and (1,−φ).

Figure 1(b): A periodic orbit starting from the lattice generated by (2√2/√3,−2√2/√3) and (1,1).

White points on a black background moving by the modular flow

Figure 2: The animation Modular Flow

Figure 3(a): The animation Phase.

Figure 3(b): A family generated by ℘'.

Figure 3(c): A family of Jacobi elliptic functions.

Figure 4: The Weierstrass σ function.