Domino tilings of the Aztec Diamond

Oberwolfach'tan

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.

If you are interested in translating this Snapshot, please contact us at info@imaginary.org

Matematiksel konular

Ayrık Matematik ve Matematiğin Temelleri
Olasılık Kuramı ve İstatistik

Yazar(lar)

Juanjo Rué

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2015-016-EN

PDF indir

snapshot-2015-016.pdf

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Matematiksel konular

Cebir ve Sayılar Kuramı
Analiz
Eğitim ve Eğitim Bilimi
Ayrık Matematik ve Matematiğin Temelleri
Geometri ve Topoloji
Nümerik ve Hesap Analizi
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