The mistaken dimensionality of CAD

Computer Aided Design software has an unfortunate tendency to suppress the rich dimensions of computational complexity in favor of a feeble representation of dimension appropriately labeled D. 3D and 4D software applications categorically manifest either the three geometric axes of Cartesian space or the four axes of Minkowskian space-time in spatial dimensions. But all that these dimensional representations can portray are geometric simulations of objects in space. Computational multi-dimensionality as expressed in the mechanisms of numeric manipulation offers designers more: a space for design parallel to that space within which architects have traditionally designed.