Figure 3
From: Estimating the size of the solution space of metabolic networks

Tiling. Discretization of the volume: in the left part of the figure we display the the regular orthogonal grid Λ ε of side ε partitioning ℝN. The counter-image of Λ ε via ϕ is given by the the grid Γ ε . Let number of Γ ε squares intersecting ϕ-1(Π) is proportional to the number of Λ ε cubes intersecting Π. The smaller the ε the better the intersection of the grid Λ ε with the polytope Π will approximate Π.