Abstract: Star configurations of points are sets of points in projective space with strong combinatorial properties. There has been interest in understanding how ``fattening'' points affects the algebraic properties of these configurations or, in other words, understanding the symbolic powers $J^{(m)}$ of their defining ideals $J$.
In this talk we unveil the structure of these ideals $J^{(m)}$: we will describe their minimal generating sets and Betti tables. Our results apply to the more general setting of star configuration of hypersurfaces.