The largest possible (not necessarily regular) Hexagon for which no two of the corners are more than unit distance apart. In the above figure, the heavy lines are all of unit length. The Area of the hexagon is , where is the second-largest real Root of

**References**

Conway, J. H. and Guy, R. K. ``Graham's Biggest Little Hexagon.'' In *The Book of Numbers.* New York:
Springer-Verlag, pp. 206-207, 1996.

Graham, R. L. ``The Largest Small Hexagon.'' *J. Combin. Th. Ser. A* **18**, 165-170, 1975.

© 1996-9

1999-05-25