Domino tilings of the Aztec Diamond

Snapshots of modern mathematics from 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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Mathematical subjects

Discrete Mathematics and Foundations
Probability Theory and Statistics


Juanjo Rué
Senior Editor:
Carla Cederbaum
Junior Editor:
Sophia Jahns


DOI (Digital Object Identifier)


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Mathematical subjects

Algebra and Number Theory
Didactics and Education
Discrete Mathematics and Foundations
Geometry and Topology
Numerics and Scientific Computing
Probability Theory and Statistics

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Chemistry and Earth Science
Computer Science
Engineering and Technology
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Reflections on Mathematics

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