Problem
of the
Week

Due to the upcoming Thanksgiving holiday, this problem will be posted for two weeks. Happy gobbling.

PROBLEM 205

The following problem was suggested by Dr. Michael Lang. 

Take 15 pennies and put them in a triangle as shown on the left.  Must there always be three pennies, all three heads or all three tails, whose centers form an equilateral triangle?  Please explain your answers fully.

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ã2004 Alberto L. Delgado