Taking into account the multi parameter character of the investigated process, the means of multidimensional applied geometry for constructing a graphic model of the temperature space of an industrial building interior was proposed. Constructed with the help of computer technologies, the models allow, on the basis of the physical analysis of a particular regime, the performance of the proposed technical means for increasing the efficiency of the system of infra-red heating and ventilation in industrial premises of various uses to be evaluated. The aim of the study is to offer universal geometric shaped models of processes of thermal and ventilation modes for studying the temperature space of an industrial building interior.