Due to the increasing popularity of additive manufacturing technologies, more varied and complex shapes of heat exchangers can be produced that can be optimised to be more compact and efficient. In this paper, a triply minimal periodic surface - gyroid structure - is designed to study the applicability of such structures in compact air-to-air heat exchangers used in residential ventilation recuperation systems. Gyroid surface structures could potentially decrease overall heat exchanger size, pressure and increase heat transfer. Several geometry variations with different flow rate values were analysed to compare the efficiency of heat exchanger designs. Additionally, a literature review was conducted to identify more adaptable geometric parameters of the gyroid structure. To calculate the pressure difference, temperature and heat transfer in each variation, SolidWorks Flow Simulation was used. The results showed that by using gyroid structures, heat exchanger energy transfer can be optimised for required back pressure and heat transfer, while reducing the overall dimensions, compared to conventional heat exchangers. By incorporating low cost, printed thermal recuperators, thermal efficiency of residential buildings can be improved. Suitable materials, manufacturing methods and application limitations are discussed.