I have been working on this question and I found that any regular polygon with n sides works.My claim is that we can cut any regular polygon of n sides into smaller regular polygons with n sides.And we will have smaller polygons with n sides and rhombuses.But the thing is that I haven't found a way to prove this.Is there anything wrong with my claim or is their a way to prove my claim?
Edit -This is for n=5 (not perfect)
