Start with a chess board and a set of dominoes, each domino exactly two squares in size.
- Cover the chess board with dominoes.
- What if one corner is removed from the chess board?
- Is it still possible?
- How many dominoes does it take?
- What if two corners are removed?
- Is it still possible?
- Does it matter if they're adjacent?
- How many dominoes does it take?
- Can every arrangement of squares be covered?
- What condition will guarantee that a particular arrangement can be covered?
How can you be certain?
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