Hosted by The Math Forum


Problem of the Week 868

Spear the Points

What is the greatest number of lines you can draw through 16 points so that each line contains exactly 4 points. You may place the 16 points anywhere in the plane you wish. (A line is doubly infinite.)

[Source: Noam Elkies in Horizons, Sept. 1998]

© Copyright 1998 Stan Wagon. Reproduced with permission.

The Math Forum

2 October 1998