Infinite Triangle and Hexagonal Lattice Networks of Identical Resistor

The resistance between two arbitrary points in an infinite triangle and hexagonal lattice networks of identical resistor are calculated using Fourier series. For hexagonal networks, I discover a new method of calculating the resistance directly from the networks instead of using Y-D transformation, which is commonly used. The result are compared numerically to other authors that utilizing separation variable [1,2] or Green function [3]