A pool rack is an equilateral triangle, filled with 15 equal-sized balls. Seen from above, we'd see a triangle, with 15 circles within.

Imagine we used smaller and smaller balls. The more the balls, more area of the triangle would be covered.

In the limit, with infinite balls, would all of the triangle be covered?

(In reply to Solution by Bractals)

Very succinct. But how did you get the length of the side of the rack?

Posted by Richard on 2004-09-23 21:51:16