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Guest Message by DevFuse

# A miraculous voyage

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Posted 13 May 2013 - 08:53 PM

A traveler just came back from where they observed the most 'miraculous' thing.  He visited four small towns in four days.  Each town was exactly five miles from each other.  Never in his life could he have expected to see four towns that were all the same distance from each other.  How was this feat achieved?

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### #2 Rob_Gandy

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Posted 13 May 2013 - 08:59 PM   Best Answer

Spoiler for Aha!

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### #3 bonanova

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Posted 14 May 2013 - 03:19 AM

Spoiler for must be

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

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Posted 17 May 2013 - 05:53 PM

But, how can it be a tetrahedron? The cities are just 5 miles away. Any 4 points on the surface of the earth which are also the vertices of a tetrahedron must be at a distance of 1.63 times the radius of the earth (which is about 6500 miles!!!).

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### #5 Pickett

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Posted 17 May 2013 - 06:01 PM

But, how can it be a tetrahedron? The cities are just 5 miles away. Any 4 points on the surface of the earth which are also the vertices of a tetrahedron must be at a distance of 1.63 times the radius of the earth (which is about 6500 miles!!!).

Spoiler for Well given that and the OP

Edited by Pickett, 17 May 2013 - 06:02 PM.

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