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}
}
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
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