DominoCovering

Start with a chess board and a set of dominoes, each domino exactly two squares in size.

Cover the chess board with dominoes.

It takes 32 of them.

Why ??

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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