A selection of a three-dimensional model by a user is received, and an interlocking block framework corresponding to the selected three-dimensional model is determined. The interlocking block framework includes one or more physical construction blocks configured to interlock with one another. A three-dimensional gap model is generated based upon the selected three-dimensional model and the interlocking block framework. The three-dimensional gap model is generated by removing a representation of the determined interlocking block framework from the selected three-dimensional model.