This document presents a version of the solution of the 2D Ising model in the thermodynamic limit, based on the presentations of Huang [2] and Kaufman [4]. Specifically, the model is solved for nearest-neighbor interactions with a single type of spin interaction and zero magnetic field. The solution employs the transfer matrix method to reformulate the problem of finding the system’s partition function as an eigenvalue problem, and uses the algebraic method of spinor analysis introduced by Kaufman to obtain an analytical expression for the free energy per spin in the thermodynamic limit. Additionally, a small investigation of Clifford algebras was conducted from a mathematical perspective to further explore the relationship between the solution method and these algebras.