A simple proof of the Aztec diamond theorem

Sen Peng Eu*, Tung Shan Fu

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

30 Citations (Scopus)


Based on a bijection between domino tilings of an Aztec diamond and non-intersecting lattice paths, a simple proof of the Aztec diamond theorem is given by means of Hankel determinants of the large and small Schröder numbers.

Original languageEnglish
JournalElectronic Journal of Combinatorics
Issue number1 R
Publication statusPublished - 2005 Apr 20
Externally publishedYes


  • Aztec diamond
  • Domino tilings
  • Hankel matrices
  • Lattice paths
  • Schröder numbers

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics
  • Applied Mathematics


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