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Two can tango


bonanova
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Two pennies can be placed on a table in such a way that every penny on the table touches (tangos with) exactly one other penny.

Three pennies can be placed on a table in such a way that every penny on the table touches exactly two other pennies.

What is the smallest number of pennies that can be placed on a table in such a way that every penny on the table touches exactly three other pennies?

(All pennies lie flat on the table and tango with each other only at their edges.)

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Edited by araver
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