perplexus.info :: Geometry : The pencil

The pencil (Posted on 2004-02-23)

I have a pencil that always rolls around on a slanted surface. One end is wider and heavier than the other. So whenever it rolls, it goes in a wide circle. Otherwise, the pencil is featureless, only becoming steadily wider towards one end.

The difference between the two diameters on the two ends is exactly 144 times smaller than the length of the pencil. If the pencil is pointing uphill on a slanted surface, how many times will it spin until it points downhill?

See The Solution Submitted by Tristan

Rating: 4.0000 (6 votes)

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Subject	Author	Date
Puzzle Thoughts	K Sengupta	2023-04-28 21:56:08
simply put solution	Dan Porter	2004-02-28 22:39:58
re(2): But on the other hand....	Penny	2004-02-28 08:59:49
re: But on the other hand....	nikki	2004-02-26 17:47:21
re: But on the other hand....	Brian Wainscott	2004-02-24 14:57:06
But on the other hand....	Penny	2004-02-24 14:18:03
re(2): Trying to be even more exact	Thalamus	2004-02-24 12:57:25
re(6): engl. unuts	Ady TZIDON	2004-02-24 11:53:59
re(5): Trying to be even more exact - dumb question	fwaff	2004-02-24 11:02:30
re(4): Trying to be even more exact	Charlie	2004-02-24 10:53:25
re(3): Trying to be even more exact	fwaff	2004-02-24 10:49:17
re(2): Trying to be even more exact	Penny	2004-02-24 09:44:52
re: Trying to be even more exact	Charlie	2004-02-24 08:21:02
My thought	Roberto Mattos	2004-02-23 17:59:53
Trying to be even more exact	Penny	2004-02-23 17:15:04
Trying to be exact.	Charlie	2004-02-23 15:29:48

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