Re: [math-fun] Dissection problem

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