I am looking for a geometric and topologic way to make a visualization of higher dimensional berkovich spaces, statring with the berkovich plane. Of course, this is just a collection of bounded semi-norms, but the question remains: is there a visualization like the infinite brnched tree (see for example Matt Baker's Dynamics abd Potential Theory on the Berkovich projective line) possible.

I think you get a simplicial complex, but I don't know exactly how. On the one hand (reading Favre and Johnsson's: The valuative tree), you have this list of valuations (thus, also of seminorms, allthough this book discusses seminorms on $\mathbb{C}^2$. On the other hand we have Berkovich's theory of Type I - Type IV points. I guess there just more Type I - Type IV points in a plane (i.e. more seminorms that occur as it were type I points), and some can be only represented by faces (two dimensional simplices), only I don't know how.

Are there any references on the visualization part ?