Tiling a Checker Rectangle

  • Alexander Soifer


Imagine you have an m × n rectangle R and lots of dominoes (a domino is a 1 × 2 rectangle). It is easy to find the conditions under which R can be tiled by dominoes, i.e., covered by dominoes, without any dominoes overlapping or sticking out over the boundary of R. Indeed, R can be tiled by dominoes if and only if mn is even (prove it!).


Rotational Symmetry Unit Cube Cyclic Permutation Lower Left Corner Symmetric Block 
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Copyright information

© Springer New York 2010

Authors and Affiliations

  1. 1.College of Letters, Arts and SciencesUniversity of ColoradoColorado SpringsUSA

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