Editing DominoCovering
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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?_* !! Discussion This is *your* page ... Click on the "Edit this page" link at the bottom to discuss this problem. ---- This is one of the many Enrichment tasks on this site. ---- CategoryMaths