No satisfactory general solution exists today to enable high repetition of elements in architectural freeform structures. In this paper we investigate why and propose several solution approaches to design highly repetitive structures with the simplest (and usually most affordable) geometric base elements: planar polygons. We explore the potential and limitations of these approaches and show that there is a large class of structures achievable by repeating even only a single polygon. We discuss how the proposed techniques reach beyond the topics of repetition and panelization and could be part of a more diversified investigation of "freeform" in architectural geometry.