Which regular polygons can be dissected into isosceles triangles by non-intersecting diagonals?

Does a hexagon count?

3 around the outside, and enclosed equilateral:  equilaterals are also isosceles.

Question is:  for this problem do we need "non-equilateral" isosceles?

I haven't had time to try to find a pattern but I think we need to know if a pattern fits.  Maybe one pattern that includes equilateral and another pattern that does not.

Posted by Larry on 2012-01-21 10:08:44