Consider the Lovasz hypergraph of rank 3.
Draw a graphical representation of L3.
Compute the dual hypergraph DL3 of of L3.
Draw a graphical representation of DF4.
Check whether L3 and DL3 are isomorphic or not.
Check that L3 and the dual of DL3 are isomorphic.
Consider the Fan hypergraph of rank 4.
Draw a graphical representation of F4.
Compute the dual hypergraph DF4 of of F4.
Draw a graphical representation of DF4.
Check that F4 and DF4 are isomorphic.