Polygon triangulation of regular $n$-gon consisting only of isosceles triangles

200 Views Asked by At

As the title suggests today I solved a geometry problem and when I finished I had this question

For which integers $n ≥ 3$ can one find a polygon triangulation of regular $n$-gon consisting only of isosceles triangles?

My idea was analize when $n$ is even and try to find an algorithm, then do te same with $n$ odd, but I don't know how to proceed. Another approach was using graphs, but I think is even more complicated.

Any idea or suggestion? Thanks in advance.