perplexus.info :: Geometry : A pool rack filled with balls

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?

Submitted by Federico Kereki

Rating: 3.3636 (11 votes)

Solution: (Hide)

See the solution at bradley.bradley.edu/~delgado/potw/s173.html

Comments: ( You must be logged in to post comments.)

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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