A Simple Proof for the Number of Tilings of Quartered Aztec Diamonds

Tri Lai

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 W. Jockusch and J. Propp (in an unpublished work) found that the number of tilings of quartered Aztec diamonds is given by simple product formulas.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.

Keywords


Aztec diamond, domino, tilings, perfect matchings

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