Scissors-Action Deployables Based on Space-Filling of Polygonal Hyperboloids

Architecture needs lightweight and kinetic structures that are easy to move and which occupy small volume. Among these, deployable structures, especially those based on scissors action, are of great interest. This paper explores the application of the angulated scissors originated by C. Hoberman (Ref. 1) to periodic deployable structures composed of doubly-faceted curved surfaces. More specifically, we show the applications of the angulated scissors to a special class of facetted structures, which are here termed polygonal hyperboloids. The concept readily extends to other surfaces of translation.