  Providing an abstract representation of natural and human complex structures
is a challenging problem. Accounting for the system heterogenous components
while allowing for analytical tractability is a difficult balance. Here I
introduce complex hypergraphs (chygraphs), bringing together concepts from
hypergraphs, multi-layer networks, simplicial complexes and hyperstructures. To
illustrate the applicability of this combinatorial structure I calculate the
component sizes statistics and identify the transition to a giant component. To
this end I introduce a vectorization technique that tackles the multi-level
nature of chygraphs. I conclude that chygraphs are a unifying representation of
complex systems allowing for analytical insight.
