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# Algebraic theory of brick packing I

@article{Barnes1982AlgebraicTO, title={Algebraic theory of brick packing I}, author={Frank W. Barnes}, journal={Discrete Mathematics}, year={1982}, volume={42}, pages={7-26} }

- Published in Discrete Mathematics 1982
DOI:10.1016/0012-365X(82)90049-8

A wide variety of problems involving the packing of bricks into boxes have been treated in recent years by various methods. The proof of De Bruijn’s elegant theorem [l] is essentially algebraic in nature, involving roots of unity, while many other significant results have been obtained by diverse and ingenious combinatorial techniques involving the ‘colouring’ of cells in a lattice. This paper attempts to establish a general theory of brick packing which will solve, or at least provide relevant… CONTINUE READING