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Take a number of equal sized coins... Two coins is the minimum number of coins that can be laid flat on a table (no tricks!) so that every coin is touching exactly one other. Opposite you see the minimum number of coins that can be laid flat on a table (no tricks!) so that every coin is touching exactly two other coins. A. What is the minimum number of coins that can be laid flat on a table (no tricks!) so that every coin is touching exactly THREE others, no more no less? B. What is the minimum number of coins that can be laid flat on a table (no tricks!) so that every coin is touching exactly THREE others, but is no multiple of four |
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