Gomory's Theorem

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Regardless of where two squares of opposite colors are deleted from an ordinary chessboard, the reduced board can always be covered with 31 dominoes. The deleted squares have their boundaries highlighted in magenta. Move the sliders to change the position of the deleted squares.
Contributed by: Jay Warendorff (March 2011)
Open content licensed under CC BY-NC-SA
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"Gomory's Theorem"
http://demonstrations.wolfram.com/GomorysTheorem/
Wolfram Demonstrations Project
Published: March 7 2011