# Panel structure on epi F**

It is known that, generically, the convex hull of a hypersurface embedded in $\mathbb{R}^n$ has a panel structure of simplices. Of course one can construct embeddings where this is not the case, but these are "rare" in a sense that can be made precise. (For intuition, consider how difficult it is to build a chair with 4 legs that all touch the ground at the same time).