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 re: More Thoughts by David Shin)

You are correct of course. I don't know why I threw that statement in. 

Posted by bob909 on 2004-09-20 11:27:51