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Domino tilings of the Aztec Diamond
Instantanés de recherche mathématique à Oberwolfach
Domino tilings of the Aztec Diamond
Imagine you have a cutout from a piece of squared paper and a pile of dominoes, each of which can cover exactly two squares of the squared paper. How many different ways are there to cover the entire paper cutout with dominoes?
One specific paper cutout can be mathematically described as the so-called Aztec Diamond, and a way to cover it with dominoes is a domino tiling.
In this snapshot we revisit some of the seminal combinatorial ideas used to enumerate the number of domino tilings of the Aztec Diamond. The existing connection with the study of the so-called alternating-sign matrices is also explored.
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Sujet mathématique
Mathématiques discrètes et fondements des mathématiques
Théorie des probabilités et statistique
Licence
DOI
10.14760/SNAP-2015-016-EN
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snapshots: overview
Sujet mathématique
Algèbre et théorie des nombres
Analyse
Pédagogie et éducation
Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie
Calcul numérique et calcul scientifique
Théorie des probabilités et statistique
Liens avec d'autres domaines
Chimie et sciences de la terre
Informatique
Ingénierie et technologie
Finances
Humanités et sciences sociales
Sciences de la vie
Physique
Pensées mathématiques