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