Welcome to DF's Problem of the Month

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This page features one mathematical problem. Usually it is quite sophisticated and requires some non-elementary stuff. However, I try to keep 'em elementary and I do not choose them for complexity but rather for aesthetic value.

Math symbolics in the problem is given in TeX-like format when necessary but notation is almost always self-evident even if you are not a TeXpert.

Difficult parts of the problem are marked with star (*); those parts which do not have an elementary solution (known to me) are marked with double star (**).

============ March 1998 ==========

All coins in a numismatic collection have diameter no greater than 2 inches. They are kept in a flat thin box with dimensions 6 in x 14 in (meaning there is no overlapping). Prove that they can also be stored in a similar box with dimensions 8 in x 12 in.

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Also I invite you to try your skills on the previous Problems of the Month - click here to visit the archive. Any comments or new solutions are welcome! Write to [email protected] or [email protected]

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