# Domino tilings of the Aztec Diamond

## Instantáneas de la actualidad matemática desde 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.

Si estás interesado en traducir esta Instantánea, por favor contáctanos a info@imaginary.org

## Área matemática

Matemática discreta y Fundamentos

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

## DOI (Identificador de objetos digitales)

10.14760/SNAP-2015-016-EN

## Área matemática

Álgebra y Teoría de números
Análisis
Didáctica y Educación
Matemática discreta y Fundamentos
Geometría y Topología
Cálculo numérico y científico