Difference between revisions of "2004 IMO Problems/Problem 3"

(Created page with "Define a “hook” to be a figure made up of six unit squares as shown in this picture: http://bit.ly/IMO2004P1, or any of the figures obtained by applying rotations and refl...")
 
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Define a “hook” to be a figure made up of six unit squares as shown in this picture: http://bit.ly/IMO2004P1, or any of the figures obtained by applying rotations and reflections to this figure.
 
Define a “hook” to be a figure made up of six unit squares as shown in this picture: http://bit.ly/IMO2004P1, or any of the figures obtained by applying rotations and reflections to this figure.
  
Which <math>m × n</math> rectangles can be tiled by hooks?
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Which <math>m\times n</math> rectangles can be tiled by hooks?

Revision as of 23:28, 20 February 2021

Define a “hook” to be a figure made up of six unit squares as shown in this picture: http://bit.ly/IMO2004P1, or any of the figures obtained by applying rotations and reflections to this figure.

Which $m\times n$ rectangles can be tiled by hooks?