perplexus.info :: Shapes : Shortest distance

Shortest distance (Posted on 2003-12-10)

What is the shortest distance between two opposite points (two vertices separated by 2R) in the surface of a regular icosahedron? The regular icosahedron's edges are 1ft in length.

Submitted by Antonio

Rating: 4.0000 (2 votes)

Solution: (Hide)

Solution: shortest distance = 7^(1/2)*1ft = 2.64575131106ft

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Subject	Author	Date
Problem Solution	K Sengupta	2007-05-04 12:32:55
re(2): What is R?	Richard	2003-12-10 23:46:07
simpler solution	Tristan	2003-12-10 19:49:17
re: What is R?	SilverKnight	2003-12-10 19:18:58
What is R?	Richard	2003-12-10 18:22:35
re: Question:	Brian Wainscott	2003-12-10 17:39:40
Question:	Gamer	2003-12-10 17:07:53
re(3): Solution (details)	Brian Wainscott	2003-12-10 16:33:31
re(2): Solution (details)	Charlie	2003-12-10 16:10:10
re: Another Question:	Brian Wainscott	2003-12-10 16:08:37
re(3): Solution (details)	Brian Wainscott	2003-12-10 16:06:13
Another Question:	Gamer	2003-12-10 15:59:01
re(2): Solution (details)	Charlie	2003-12-10 15:57:25
re: Solution (details)	Brian Wainscott	2003-12-10 15:49:50
Solution	Brian Wainscott	2003-12-10 15:40:19
hmmmm.....	SilverKnight	2003-12-10 15:34:48

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