Difference between revisions of "2004 IMO Problems/Problem 3"
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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 | + | Which <math>m\times n</math> rectangles can be tiled by hooks? |
Revision as of 22:28, 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 rectangles can be tiled by hooks?