Hosted by The Math Forum
Problem of the Week 964
A Bullet-Riddled Stop Sign Riddle
MacPoW Home ||
Forum PoWs ||
Teachers' Place ||
Student Center ||
Alice: Take a look at that bullet-riddled stop sign. There are 16 bullet holes in it and they are arranged so that any triangle whose vertices are three of the vertices of the octagon contains a hole in its interior.
Bob: Very observant! But surely that could be achieved with fewer than 16 bullets.
Help our duo out by finding the smallest number of points in the interior of a regular octagon so that each triangle has one in its interior.
Source: The American Mathematical Monthly (#10936 by A Lukacs and A Szilard)
© Copyright 2002 Stan Wagon. Reproduced with
© 1994-2014 Drexel University. All rights reserved.
Home || The Math Library || Quick Reference || Search || Help
The Math Forum is a research and educational enterprise of the Drexel University School of Education.
17 September 2002