# Real world applications that are modelled by Simplicial Complexes

I am interested to find out what are some real world applications that are "truly" modelled by Simplicial Complexes.

Note: There are many some real world applications like social networks / neural networks which are modelled by graphs/hypergraphs, but are made into simplicial complexes via processes like clique complex. For the purpose of this question, I would like to exclude the above types of applications, and focus on those which are already initially simplicial complexes, without going through the process of graph/hypergraph to simplicial complex.

It seems that by excluding the above applications, there are quite few "true" real world applications of simplicial complexes, in fact none that I know of. I would be grateful if someone could point out some.

Thanks a lot.

• In 3D graphics, one of the main ways objects are modeled is by a map of a 2D simplicial complex to $\mathrm{R}^3$ (this is called a triangular mesh or sometimes a triangulation). Oct 4, 2017 at 19:05