Abstract

ABSTRACT Several articles deal with tilings with squares and dominoes on 2-dimensional boards, but only a few on boards in 3-dimensional space. We examine a tiling problem with coloured cubes and bricks on a -board in three dimensions. After a short introduction and the definition of breakability we show a way to get the number of the tilings of an n-long board considering the -long board. It describes recursively the number of possible breakable and unbreakable tilings. Finally, we give some identities for the recursions using breakability.

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