A centralized design engine receives a problem specification from an end-user and classifies that problem specification in a large database of previously received problem specifications. Upon identifying similar problem specifications in the large database, the design engine selects design strategies associated with those similar problem specifications. A given design strategy includes one or more optimization algorithms, one or more geometry kernels, and one or more analysis tools. The design engine executes an optimization algorithm to generate a set of parameters that reflect geometry. The design engine then executes a geometry kernel to generate geometry that reflects those parameters, and generates analysis results for each geometry. The optimization algorithms may then improve the generated geometries based on the analysis results in an iterative fashion. When suitable geometries are discovered, the design engine displays the geometries to the end-user, along with the analysis results.