Which regular polygons can be dissected into isosceles triangles by non-intersecting diagonals?
(In reply to Not sure if this is what you want
You know, I wish someone had caught this in the queue. I really like how concise the original is but you pointed out a big flaw. The problem is the term non-intersecting. Intersections at the vertices of the polygon I meant to allow. So your hexagon example is fine. Actually I think your square example is the only case where the diagonals don't share any endpoints.
As for the term dissected, the term generally means completely split up. Otherwise any n-gon can be split into an isosceles triangle and an (n-1)-gon.
So here's the (hopefully better) version:
Which regular polygons can be dissected into isosceles triangles by diagonals that may only intersect at their endpoints?
Posted by Jer
on 2012-01-21 00:05:43