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Domino tiling

In geometry, a domino tiling of a region in the Euclidean plane is a tessellation of the region by dominoes, shapes formed by the union of two unit squares meeting edge-to-edge. Equivalently, it is a perfect matching in the grid graph formed by placing a vertex at the center of each square of the region and connecting two vertices when they correspond to…

Applications, Regions & Measurement

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Counting tilings of regions

OEISFibonacci sequencePfaffianSkew-symmetric matrixEigenvalues
10 related topics

Applications in statistical physics

One-to-one correspondenceIsing modelFrustrated interactionDual lattice
4 related topics

Thurston's height condition

WilliamThurstonUndirected graphInteger latticeThree-dimensional graph
4 related topics

Height functions

VerticesKenyon & Okounkov (2005)
2 related topics

Topics to explore

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Overview

Height functions

Thurston's height condition

Counting tilings of regions

Tatami

Applications in statistical physics

Advanced semantic analysis

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Map overview Semantic statistics

Domino tiling

Nodes36
Edges35
Triples20
Avg. degree1.94
Density0.055556
Components1

How this topic connects Entity context

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Domino tiling

Top relations

related to Counting tilings of regions · 7
Domino tiling → A099390, Fisher, Kasteleyn, OEIS, Temperley, The, When
related to Thurston's height condition · 5
Domino tiling → He, The, Thurston, Using, WilliamThurston
has application · 4
Domino tiling → At, Ising, There, Therefore
see also · 4
Domino tiling → Aztec, Gaussian, Mutilated, Statistical

Important terminology Word statistics

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Important terminology

tiling region domino height tilings squares displaystyle path tatami one aztec diamond formed two vertices dominoes number rectangle order plane

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Domino tilinghas applicationThere0.60section
Domino tilinghas applicationIsing0.60section
Domino tilinghas applicationAt0.60section
Domino tilinghas applicationTherefore0.60section
Domino tilingrelated to Counting tilings of regionsThe0.60section
Domino tilingrelated to Counting tilings of regionsTemperley0.60section
Domino tilingrelated to Counting tilings of regionsFisher0.60section
Domino tilingrelated to Counting tilings of regionsKasteleyn0.60section
Domino tilingrelated to Counting tilings of regionsA0993900.60section
Domino tilingrelated to Counting tilings of regionsOEIS0.60section
Domino tilingrelated to Counting tilings of regionsWhen0.60section
Domino tilingrelated to Thurston's height conditionWilliamThurston0.60section

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