Geodesic
Arithmetic theory of brick tilings
Sbornik. Mathematics, Tome 189 (1998) no. 12, pp. 1765-1794

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A new, “arithmetic”, approach to the algebraic theory of brick tilings is developed. This approach enables one to construct a simple classification of brick tilings in ${\mathbb Z}^d$ and to find new proofs of several classical results on brick packing and tilings in ${\mathbb Z}^d$. In addition, possible generalizations of results on integer brick packing to the Euclidean plane $\mathbb R^2$ are investigated. 
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     author = {A. V. Egorov and A. A. Prikhod'ko},
     title = {Arithmetic theory of brick tilings},
     journal = {Sbornik. Mathematics},
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     volume = {189},
     number = {12},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1998_189_12_a2/}
}
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A. V. Egorov; A. A. Prikhod'ko. Arithmetic theory of brick tilings. Sbornik. Mathematics, Tome 189 (1998) no. 12, pp. 1765-1794. http://geodesic.mathdoc.fr/item/SM_1998_189_12_a2/