Skipping Stones by Math

One of my most beautiful childhood memories was stone skipping with my dad. It always seemed mysterious to me when the rocks bounced smoothly on a calm sea on a warm summer day.

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Skipping stones is a worldwide phenomenon. Eskimos skip rocks on ice and Bedouins on the smooth sand. In England, stone skipping is known as "ducks and drakes"; in France, as "ricochet"; in Ireland, as "stone skiffing"; and in Denmark as…