# Maximum Overhang

Year of Award: 2011

Award: Robbins

Publication Information: American Mathematical Monthly Vol. 116, November 2009, pp. 763-787.

Summary (From the January 2011 Prizes and Awards booklet): This paper is a sequel to the paper Overhang published in the American Mathematical Monthly, vol. 116, January 2009, pp. 19-44. In that paper the authors showed that $$n$$ blocks can be stacked using suitable counterbalancing to achieve an overhang proportional to $$n^{1/3}$$. In this paper the authors give a complementary argument showing that an overhang proportional to $$n^{1/3}$$ is, in fact, the largest possible for any balanced stack.