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- Aztec_diamond abstract "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. It is common to color the tiles in the following fashion. First consider a checkerboard coloring of the diamond. Each tile will cover exactly one black square. Vertical tiles where the top square covers a black square,is colored in one color, and the other vertical tiles in a second. Similarly for horizontal tiles.".
- Aztec_diamond wikiPageID "20282540".
- Aztec_diamond wikiPageRevisionID "560792641".
- Aztec_diamond hasPhotoCollection Aztec_diamond.
- Aztec_diamond title "Aztec Diamond".
- Aztec_diamond urlname "AztecDiamond".
- Aztec_diamond subject Category:Enumerative_combinatorics.
- Aztec_diamond comment "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.".
- Aztec_diamond label "Aztec diamond".
- Aztec_diamond sameAs m.04_0ytx.
- Aztec_diamond sameAs Q4832965.
- Aztec_diamond sameAs Q4832965.
- Aztec_diamond wasDerivedFrom Aztec_diamond?oldid=560792641.
- Aztec_diamond isPrimaryTopicOf Aztec_diamond.