Suppose you have a big number of polynomials such as xyz+xy+z where xyz, xy and z are monomials. You wanna visualise the polynomials together something such as atlas below and show how they are related graphically.

where the example is from here where the edges could correspond to sum while the vertices could be monomials. It is also possible to do it so that each variable in monomial has their own vertex while two different kinds of edges are drawn: edges inside monomials and distinct edges to connect monomials of the same polynomial. Other visualisations are possible as well.

How can you visualise a big number of polynomials graphically?

P.s. Aspiring discussion in Mathematica SE.