The subsolidus structure of the four-component system MgO – Al2O3 – FeO – TiO2 was studied in six temperature ranges. Geometric-topological characteristics of the phases of the system under study have been determined, topological graphs of the relationship of elementary tetrahedrons have been constructed, their volumes, degrees of asymmetry for all temperature ranges have been found. The optimal regions of compositions for the production of spinel-containing materials have been predicted, which are within the limits of elementary tetrahedra: MgO – FeO – Mg2TiO4 – MgAl2O4, FeAl2O4 – Mg2TiO4 – FeO – Fe2TiO4, FeAl2O4 – Mg2TiO4 – MgAl2O4 – FeO and FeAl2O4 – MgTiO3 – MgAl2O4 – Al2O3.
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