Aztec diamond
In combinatorial mathematics, an Aztec diamond of order n consists of all squares of a square lattice whose centers (x,y) satisfy |x| + |y| ≤ n. Here n is a fixed integer, and the square lattice consists of unit squares with the origin as a vertex of 4 of them, so that both x and y are half-integers. The Aztec diamond theorem states that the number of domino tilings of the Aztec diamond of order n is 2n(n+1)/2. The Arctic Circle theorem says that a random tiling of a large Aztec diamond tends to be frozen outside a certain circle.
* An Aztec diamond of order 4, with 1024 domino tilings
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Aztec diamond
In combinatorial mathematics, an Aztec diamond of order n consists of all squares of a square lattice whose centers (x,y) satisfy |x| + |y| ≤ n. Here n is a fixed integer, and the square lattice consists of unit squares with the origin as a vertex of 4 of them, so that both x and y are half-integers. The Aztec diamond theorem states that the number of domino tilings of the Aztec diamond of order n is 2n(n+1)/2. The Arctic Circle theorem says that a random tiling of a large Aztec diamond tends to be frozen outside a certain circle.
* An Aztec diamond of order 4, with 1024 domino tilings
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has abstract
En combinatoria, un diamante a ...... tales, con izquierda y derecha
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In combinatorial mathematics, ...... imilarly for horizontal tiles.
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В комбинаторике разбиений ацте ...... ий на плитки размером клеток).
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title
Aztec Diamond
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urlname
AztecDiamond
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comment
En combinatoria, un diamante a ...... recubrimientos en dominó
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In combinatorial mathematics, ...... with 1024 domino tilings
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В комбинаторике разбиений ацте ...... ий на плитки размером клеток).
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label
Aztec diamond
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Problema del diamante azteca
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Ацтекский бриллиант
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