The executive power of computation, once utilized to inform the discrete pieces of design, “component making” rapidly became one of the trends in architectural design. Idea of components conceptually transformed the enclosing forms of architecture into subdivision surfaces that act as fields for components to aggregate on. While a certain level of variety is achieved via manipulation of components, the characteristics of the surfaces become overlooked via common use of parametric (UV) subdivision. This paper, with a critical look at the current component field generation techniques, focuses on alternative methods of transforming a surface into a digital ground for component aggregation. Series of studies address and deal with various pitfalls of component design and application on software-dictated UV subdivision surfaces.