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Tilings and the aztec diamond theorem

By David Alberto Pardo Simón


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

Topics: Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Combinatòria, Combinatorial analysis, Tilings, Tessellations, Aztec Diamond, Combinacions (Matemàtica), Classificació AMS::05 Combinatorics::05A Enumerative combinatorics
Publisher: Universitat Politècnica de Catalunya
Year: 2016
OAI identifier: oai:upcommons.upc.edu:2117/89739
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