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 A pool rack filled with balls (Posted on 2004-09-17)
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)

 Subject Author Date re: Solution ok 2004-10-02 16:27:00 re(5): Solution Richard 2004-09-24 13:17:16 re(4): Solution David Shin 2004-09-24 10:09:57 re(3): Solution Richard 2004-09-24 04:09:34 re(2): Solution David Shin 2004-09-24 01:41:32 re: Solution Richard 2004-09-23 21:51:16 Solution Bractals 2004-09-21 17:39:54 Infinity bob909 2004-09-21 14:05:15 re: A Point? Charlie 2004-09-20 16:46:43 A Point? bob909 2004-09-20 11:40:05 re(2): More Thoughts bob909 2004-09-20 11:27:51 No Subject josh 2004-09-18 23:24:52 Ambiguity leads to Paradox Steve Herman 2004-09-18 20:53:33 Tessel-what? Bruce Brantley 2004-09-18 10:37:38 My one and a half cents Bruce Brantley 2004-09-18 09:53:28 Mathematical Solution (exact answer) np_rt 2004-09-17 21:33:55 re: More Thoughts David Shin 2004-09-17 17:26:17 philosophy? Ira Jewell 2004-09-17 16:58:06 More Thoughts bob909 2004-09-17 14:28:27 re(2): Solution, I got confused. Charlie 2004-09-17 14:27:45 re: Solution, I got confused. Juggler 2004-09-17 14:17:21 re: Solution Charlie 2004-09-17 14:17:18 Solution Charlie 2004-09-17 13:23:25 Unlimited Balls Jer 2004-09-17 13:13:32 Thoughts Juggler 2004-09-17 12:18:26

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