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A pool rack filled with balls (Posted on 2004-09-17) Difficulty: 3 of 5
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?

See The Solution Submitted by Federico Kereki    
Rating: 3.3636 (11 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: A Point? | Comment 17 of 25 |
(In reply to A Point? by bob909)

The uncovered areas get infinitely small with infinitely many of them; the covered areas get infinitely small with infinitely many of them.  Any argument that it's completely covered could be applied the same way to say it's completely uncovered.
  Posted by Charlie on 2004-09-20 16:46:43

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