An inhomogeneous density distribution is proposed for matter in the universe, having the properties that as ever larger volumes of space are considered the average density increases; that no point is in any way special, for an infinite number of points with similar environments can be found; that the distribution of matter and radiation are isotropic; and that Olbers' paradox is resolved. The model casts doubt on the reality of the expansion of the universe, and has profound consequences for cosmology, cosmogony and physics.