Recently in my geometry class I was asked to solve the following geometry problem:
Split five-sided regular polygon on triangles s.t. every triangle has common segment with exactly three other triangles.
I've wasted too much time on it and still don't understand how to even start solving this.
I found this split for 4-sided polygon
As you can see it is the right split, e.g. every triangle in it has exactly three neighbors.
Do you have any idea, how to solve this?
Seems to work for any convex $n$-gon: