The paper describes the results of studies of the design model for a two-column radiator of central heating in tripleobjetive optimization conditions.The optimization problem is reduced to finding the minimum Piping Tips and Tubes of a scales function in a 8-dimensional space bounded by 7, 8 or 9 inequality constraints.It is investigated the permissible region, and it is obtained an approximate shape of correspond1ng area Pedometers And Scales in the objective space.A set of the polyoptimum solutions has been determined satisfying the optimization criterion.One selected afterwards the solutions preferred for design realization from this set.