  We study systems of multiple localized closed string tachyons and the
phenomena associated with their condensation, in C3/ZN nonsupersymmetric
noncompact orbifold singularities using gauged linear sigma model
constructions, following hep-th/0406039. Our study reveals close connections
between the combinatorics of nonsupersymmetric flip transitions (between
topologically distinct resolutions of the original singularity), the physics of
tachyons of different degrees of relevance and the singularity structure of the
corresponding residual endpoint geometries. This in turn can be used to study
the stability of the phases of gauged linear sigma models and gain qualitative
insight into the closed string tachyon potential.
