How to Tile by Dominoes the Boundary of a Polycube

  • Olivier Bodini
  • Sandrine Lefranc
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4245)


We prove that the boundary of a polycube (finite union of integer unit cubes) has always a tiling by foldable dominoes (two edge-adjacent unit squares on the boundary). Moreover, the adjacency graph of the unit squares in the boundary of a spherical polycube has a Hamiltonian cycle.


Hamiltonian Cycle Connected Subgraph Adjacency Graph Discrete Apply Mathematic Combinatorial Group Theory 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Olivier Bodini
    • 1
  • Sandrine Lefranc
    • 1
  1. 1.LIRMMMontpellierFrance

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