On the Structure of the Classical Discriminant
Considera generalpolynomialofdegree n with variablecoeﬃcients. Itis known that the Newtonpolytope of its discriminant is combinatorially equivalent to an (n - 1)-dimensional cube. We show that two facets of this Newtonpolytopeare prisms,and that truncationsofthe discriminant withrespecttofacets factor into discriminants ofpolynomials of smaller degree.