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A Common Vertex (Posted on 2004-07-12) Difficulty: 2 of 5
Three regular polygons, all with unit sides, share a common vertex and are all coplanar. Each polygon has a different number of sides, and each polygon shares a side with the other two; there are no gaps or overlaps. Find the number of sides for each polygon. There are multiple answers.

See The Solution Submitted by Brian Smith    
Rating: 3.0000 (1 votes)

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re(3): solution | Comment 6 of 19 |
(In reply to re(2): solution by Thalamus)

I would say that the locus of points on the infinite-sided polygon was coextensive with a straight line, as is a circle of infinite radius, and diameter as 2*aleph-1 is still aleph-1.  The diagonal of the infinite-sided polygon is also infinite. So the set of points is identical.
  Posted by Charlie on 2004-07-12 15:35:21

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