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(3): solution by Charlie)

but in thalamus's list of nine, the second, third and fourth combinations each use two of a particular shape, so i believe only FIVE of his combinations satisfy the requirements. (this is not a criticism, especially since i missed the 60-144-156 combo, i just want to establish the real number of combinations)

Posted by rixar on 2004-07-12 22:31:43