Density, temperature, electron abundance and radial velocity profiles. The black lines represent polar-averaged profiles of the innermost 250 km of a sophisticated axisymmetric simulation at time t = 250 ms post bounce. These profiles are then put into hydrostatic equilibrium and used to initialize the three-dimensional simulation of the PNS. The red dots show a scatter plot of all the cells in the three-dimensional domain for the resolution N = 50. Note that the red dots degenerate almost everywhere to a red line.