Enhancing parametric design through non-manifold topology

•Cognitive roots of parametric design thinking are explored.•Consideration of topology is proposed for enhanced and smarter design solutions.•Non-manifold topology is proposed as a novel approach to additive manufacturing.•Software is presented for designing topology-based conformal cellular structures.

This paper aims to build a theoretical foundation for parametric design thinking by exploring its cognitive roots, unfolding its basic tenets, expanding its definition through new concepts, and exemplifying its potential through a use-case scenario. The paper focuses on a specific type of topological parameter, called non-manifold topology as a novel approach to thinking about designing cellular spaces and voids. The approach is illustrated within the context of additive manufacturing of non-conformal cellular structures. The paper concludes that parametric design thinking that omits a definition of topological relationships risks brittleness and failure in later design stages while a consideration of topology can create enhanced and smarter solutions as it can modify parameters based on an accommodation of the design context.