It can't be edge-to-edge *anywhere. *I am not seeing how to do this at all. On Thu, Jun 9, 2016 at 10:58 AM, Veit Elser <ve10@cornell.edu> wrote:
On Jun 9, 2016, at 10:34 AM, Fred Lunnon <fred.lunnon@gmail.com> wrote:
Any interior edge is common to two small triangles, so all interior sides must be equal in pairs? WFL
True, the dissection/tiling cannot be edge-to-edge. But consider a triangle, and mark one point on each of its edges, always within the first half in a clockwise sense. Joining vertices to marked points on opposite edges will form an internal triangle — that is one of the triangles of the dissection. I’ll leave it to you to find the other three.
-Veit _______________________________________________ math-fun mailing list math-fun@mailman.xmission.com https://mailman.xmission.com/cgi-bin/mailman/listinfo/math-fun