Geodesic
A simple proof for the number of tilings of quartered Aztec diamonds
Tri Lai1
1Indiana University
The electronic journal of combinatorics, Tome 21 (2014) no. 1
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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 W. Jockusch and J. Propp (in an unpublished work) found that the number of tilings of quartered Aztec diamonds is given by simple product formulas.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.
DOI : 10.37236/3429
Classification : 05B45, 05A15, 05C70
Mots-clés : Aztec diamond, domino, tilings, perfect matchings

Tri Lai  1

1 Indiana University 
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     author = {Tri Lai},
     title = {A simple proof for the number of tilings of quartered {Aztec} diamonds},
     journal = {The electronic journal of combinatorics},
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Tri Lai. A simple proof for the number of tilings of quartered Aztec diamonds. The electronic journal of combinatorics, Tome 21 (2014) no. 1. doi: 10.37236/3429

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