Tilings and the aztec diamond theorem

Abstract

Tilings over the plane are analysed in this work, making a special focus on the Aztec Diamond Theorem. A review of the most relevant results about monohedral tilings is made to continue later by introducing domino tilings over subsets of R2. Based on previous work made by other mathematicians, a proof of the Aztec Diamond Theorem is presented in full detail by completing the description of a bijection that was not made explicit in the original work