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A Tiling of the Plane by specified types of Polyominoes.  Interestingly,
the Fibonacci Number 
 gives the number of ways for 
 dominoes to cover a 
 checkerboard.
See also Fibonacci Number
References
 
Gardner, M.  ``Tiling with Polyominoes, Polyiamonds, and Polyhexes.''  Ch. 14 in 
  Time Travel and Other Mathematical Bewilderments.  New York: W. H. Freeman, 1988.
 
 Polyominoes