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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
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Chimie et sciences de la terre

Informatique

Ingénierie et technologie

Finances

Humanités et sciences sociales

Sciences de la vie

Physique

Pensées mathématiques