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(2): Solution by David Shin)

The question to Bractals was "But how did you get the length of the side of the rack?" That is, I did not ask for the side length of the enclosing equilateral triangle, but rather for its derivation.

Sorry Bractals for orginally omitting the "s" at the end of your handle above.

Edited on September 24, 2004, 12:59 pm

Posted by Richard on 2004-09-24 04:09:34