Although the formation of n-component materials are described by similar mathematical concepts for different n, the resulting phase stability visualizations are quite different due to different dimensionality. By Equation (3), the stability region of ternary materials is determined by two independent variables, ∆µ A 1 and ∆µ A 2 , and is therefore given as a plane in three dimensions. Analogously, the stability region of quaternary materials is determined by three independent variables and is therefore described as a solid in three dimensions. VTAnDeM draws the phase stability region of ternary/quaternary materials in three dimensions via a half-space representation of convex polytopes, where the inputs are the inequalities in Equation (4) of the form