## Problem of the Week 1173## A Polyhedral PuzzleGiven a convex polyhedron P, get a new polyhedron Q by cutting off a small tip from each vertex of P. Suppose Q has V vertices, E edges, and F faces, and one of V, E, F equals 1001. What are the values of V, E, and F?
Source: G. Galperin, via the Berlekamp-Buhler puzzle section of
© Copyright 2014 Stan Wagon. Reproduced with permission. |

19 December 2013