A simple proof for the number of tilings of quartered Aztec diamonds

Tri Lai

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

We get four quartered Aztec diamonds by dividing an Aztec diamond region by two zigzag cuts passing its center. W. Jockusch and J. Propp (in an unpublished work) found that the number of tilings of quartered Aztec diamonds is given by simple product formulas. In this paper we present a simple proof for this result.

Original languageEnglish (US)
JournalElectronic Journal of Combinatorics
Volume21
Issue number1
DOIs
StatePublished - Jan 12 2014

Keywords

  • Aztec diamond
  • Domino
  • Perfect matchings
  • Tilings

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