Hypergraphs feature prominently in Wolfram Models (https://www.wolframphysics.org/technical-introduction/ https://www.wolframphysics.org/technical-introduction/

Hypergraphs feature prominently in Wolfram Models (https://www.wolframphysics.org/technical-introduction/ https://www.wolframphysics.org/technical-introduction/), they give rise to some really interesting phenomena when you look at hypergraph rewriting.