  We give more or less explicit equations for all two-dimensional cusp
singularities of embedding dimension at least 4. They are closely related to
Felix Klein's equations for universal curves with level n structure. The main
technical result is a description of the versal deformation of an n-gon in
$P^{n-1}$. The final section contains the equations for smoothings of simple
elliptic singularities (of multiplicity at most 9).
