A simple proof for the number of tilings of quartered Aztec diamonds (Q405066)
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| Language | Label | Description | Also known as |
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| English | A simple proof for the number of tilings of quartered Aztec diamonds |
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A simple proof for the number of tilings of quartered Aztec diamonds (English)
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4 September 2014
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Summary: We get four quartered Aztec diamonds by dividing an Aztec diamond region by two zigzag cuts passing its center. \textit{W. Jockusch} and \textit{J. Propp} [``Antisymmetric monotone triangles and domino tilings of quartered Aztec diamonds'' (unpublished work)] found that the number of tilings of quartered Aztec diamonds is given by simple product formulas.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.
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Aztec diamond
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domino
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tilings
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perfect matchings
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