In this section, we discuss algebraic functions elaborated in previous articles in this series, within the context of microstructural features of matter. Heat maps are studied using geometric field constructions to study matter condensation patterns. These heat maps are rendered on lattice as well as isolated structures, with forward and backward time propagation. Background energetics are discussed at length for elucidating thermodynamic environments. The system + surroundings heat modeling has been performed to understand matter condensates and their extension to solidification patterns. Systematic temporal powers in the presence of environmental temporal powers are modeled to understand the equilibrium energy density patterns/ maps. Such a scheme, in principle and in practice shows definitive results indicating that geometric thermodynamic potentials do indeed carve out the true picture of microstructural pattern formation and the microstructural detailing of matter at all length scales.Â