Given an n-dimensional polytope P and one of its facets F, the cone volume corresponding to F is the volume of conv(0,F). P is said to satisfy the subspace concentration condition w.r.t. a d-dimensional linear subspace L if the total cone volume of the facets with normal vectors in L is at most d/n*vol(P). The subspace concentration condition plays an important role in the context of the (discrete) logarithmic Minkowski problem, i.e., the question: What conditions ensure that a given list of normal vectors and cone volumes can be realized by a polytope? Recently, an affine version of the subspace concentration condition was introduced by Wu for certain lattice polytopes. In this talk, I will focus on the affine case and discuss possible generalizations. This is joint work with Ansgar Freyer and Martin Henk.