Consider the Fan hypergraph of rank 4.
Draw a graphical representation of F4.
Compute the complement hypergraph C of of F4.
Draw a graphical representation of C.
Consider these two Kuratowski hypergraphs.
Draw a graphical representation of K2.
Draw a graphical representation of K3.
Observe that K3 is the complement hypergraph of K2.
Observe that K2 is the complement hypergraph of K3.