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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: ( You must be logged in to post comments.)
  Subject Author Date
re: Solutionok2004-10-02 16:27:00
re(5): SolutionRichard2004-09-24 13:17:16
re(4): SolutionDavid Shin2004-09-24 10:09:57
re(3): SolutionRichard2004-09-24 04:09:34
re(2): SolutionDavid Shin2004-09-24 01:41:32
re: SolutionRichard2004-09-23 21:51:16
SolutionSolutionBractals2004-09-21 17:39:54
Infinitybob9092004-09-21 14:05:15
re: A Point?Charlie2004-09-20 16:46:43
QuestionA Point?bob9092004-09-20 11:40:05
re(2): More Thoughtsbob9092004-09-20 11:27:51
No Subjectjosh2004-09-18 23:24:52
SolutionAmbiguity leads to ParadoxSteve Herman2004-09-18 20:53:33
Tessel-what?Bruce Brantley2004-09-18 10:37:38
Some ThoughtsMy one and a half centsBruce Brantley2004-09-18 09:53:28
Mathematical Solution (exact answer)np_rt2004-09-17 21:33:55
re: More ThoughtsDavid Shin2004-09-17 17:26:17
philosophy?Ira Jewell2004-09-17 16:58:06
Some ThoughtsMore Thoughtsbob9092004-09-17 14:28:27
re(2): Solution, I got confused.Charlie2004-09-17 14:27:45
Some Thoughtsre: Solution, I got confused.Juggler2004-09-17 14:17:21
Solutionre: SolutionCharlie2004-09-17 14:17:18
SolutionSolutionCharlie2004-09-17 13:23:25
Unlimited BallsJer2004-09-17 13:13:32
SolutionThoughtsJuggler2004-09-17 12:18:26
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