Topology Optimization with Microstructures

System and method for optimizing a three-dimensional model representing a shape of an object to be fabricated from a plurality of materials having known physical properties. The object is designed to exhibit one or more target properties and the three-dimensional model includes a plurality of cells. The system includes at least one processor programmed to receive a data structure including information for a material property gamut of microstructures for the plurality of materials and two or more of the known physical properties of the plurality of materials, and perform a topology optimization process on the three-dimensional model to generate an optimized model, wherein the topology optimization process is constrained based, at least in part, on the information in the received data structure and the one or more target properties.