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Search: authors:"Patric R. J. Östergård"

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Enumerating Cube Tilings

Cube tilings formed by \(n\)-dimensional \(4\mathbb Z ^n\)-periodic hypercubes with side \(2\) and integer coordinates are considered here. By representing the problem of finding such cube tilings within the framework of exact cover and using canonical augmentation, pairwise nonisomorphic 5-dimensional cube tilings are exhaustively enumerated in a constructive manner. There are...