Domino tilings of the Aztec Diamond
Visualitza/Obre
Cita com:
hdl:2117/87721
Tipus de documentArticle
Data publicació2015-12-01
Condicions d'accésAccés obert
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Reconeixement 3.0 Espanya
Abstract
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.
CitacióRue, J. Domino tilings of the Aztec Diamond. "Snapshots for modern mathematics from Oberwolfach", 01 Desembre 2015, núm. 16, p. 1-11.
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Snapshot-2015-016.pdf | 485,2Kb | Visualitza/Obre |