The Aztec diamond theorem is a result in combinatorial mathematics about tilings of the Aztec diamond, a diamond-shaped region of a square lattice of order n. It states that the number of domino tilings of the Aztec diamond of order n equals 2 raised to the power n(n+1)/2, and a companion result, the Arctic Circle theorem, shows that random tilings of large Aztec diamonds develop a frozen region outside a circular boundary.
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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.
In Branch: Combinatorics, Lead paragraph
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.
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