The pursuit for industrial energy efficiency and the mitigation of greenhouse gas emissions motivate researchers to develop or restructure energy materials that can lower the global energy carbon footprint. This study hybridizes three basic Triply periodic minimal surface topologies using into one shape. A novel heat exchanger is proposed by hybridization of 3 basic topologies; Schoen Gyroid, Schwarz Diamond and Fischer Koch S to leverage and combine their individual thermo hydraulic properties. The aluminium alloy used is a thin walled AlSi10Mg. Hybridization was achieved by level set trigonometric functions and modeled by MSLattice. The new shape was simulated as an evaporator using Simulink, MATLAB 2020a running the Tetrafluoroethane (R134a) on the material with a geothermal (sustainable energy) heat source. The highest surface area density is 29.59 l/mm with a wall thickness of 0.12 mm. The best obtained steady state values of specific enthalpy and heat flow rates are 439.4 kJ/kg and 0.34 kW/s respectively. This novelty sheds some light into the 2 phase 3 zone evaporator’s zone length and mass fraction of phase transformation and zonal fluid mass along the volume length, promising better thermo hydraulic results as more Triply periodic minimal surfaces are hybridized.