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(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