A system for controlling symmetry relationships in a three-dimensional (3-D) model is disclosed. The system includes a processor and a memory in communication with the processor. The memory is configured to store processor-executable instructions to identify a prototype object defined within the 3-D model, detect a symmetry object associated on the identified prototype object such that the symmetry object relates to the prototype object based on a differentiation function, quantify a plurality of model parameters associated with the symmetry object such that the plurality of model parameters defines the differentiation function, and couple the prototype object and the symmetry object based such that an update to one of the objects propagates to other object.