It's a Puzzlement

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A Pile of Pennies
by John P. Robertson

On the table in front of you is a bunch of pennies, more than 10. You are told that exactly 10 of them are heads up. Your job is to make two groups of pennies that have the same number of pennies heads up. The only problem is that you are blindfolded, and wearing gloves. So you cannot see the pennies. You can feel them, but you can't tell which side is heads, and which is tails. But you can pick any penny up, turn it over, move it around. How do you make two groups that have the same
number of heads?

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Double Squares

The solution to last issue's puzzlement is given in the diagram above. A process of trial and error is needed to derive the solution. Solver Darrel Chvoy used the clues in the order #3, #4, #1, #2.

Ralph L. "Casey" Abell, Marty Adler, Oscar Chow, Jon Evans, John Herder, Paul Ivanovskis, Alex Kozmin, E. Nicholl Marshall, John Reynolds, Mark R. Shapland, and David Uhland also sent in solutions. Several solvers noted that the solution is unique.