  We find and describe unexpected isomorphisms between two very different
objects associated to hypersurface singularities. One object is the Milnor
algebra of a function, while the other object associated to a singularity is
the local ring of the flatness stratum of the singular locus in a miniversal
deformation, an invariant of the contact class of a defining function. Such
isomorphisms exist for unimodal hypersurface singularities. However, for the
moment it is badly understood, which principle causes these isomorphisms and
how far this observation generalises. Here we also provide an algorithmic
approach for checking algebra isomorphy.
