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Four points on a Plane (Posted on 2004-11-21) Difficulty: 2 of 5
How many ways can four points be arranged in a plane so that the six distances between pairs of points take on only two different values?

See The Solution Submitted by Erik O.    
Rating: 4.1429 (7 votes)

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What are the defining characteristics of "different arrangements"? | Comment 9 of 15 |
I can't be certain what is meant by the question. What would consitute a different arrangement? Or, expressing my puzzlement by means of an apparently different question: If we had two suggested exampls of arrangments, what features would any comparison between them have to have in order for them to be said to be a different arrangement or "way"? On some interpretation of the meaning (as illustrated by a comment so far), the answer could be "an infinite number".
  Posted by David on 2004-11-22 01:04:47
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