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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(2): solution | Comment 10 of 19 |
(In reply to re: solution by Cory Taylor)

That's a good point, Cory.  It seems to work at first but the problem states no overlaps are allowed.  Also, each polygon has to have a different number of sides.

Other overlapping solutions would be:
triangle, square, 12-gon
triangle, pentagon, 30-gon


  Posted by Tristan on 2004-07-12 20:25:53
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