Designing Rigidly Foldable Horns Using Bricard's Octahedron

Abstract

This paper proposes a design method to obtain a family of rigidly foldable structures with one degreeoffreedom (DOF). The mechanism of flatfoldable degreefour cones and mutually compatible cones sharing a boundary is interpreted as the mechanism of Bricard's flexible octahedra. By sequentially concatenating compatible cones, one can design hornshaped rigidorigami mechanisms. This paper presents a method to inversely obtain rigidly foldable horns that follow given space curves. The resulting rigidly foldable horns can be used as building blocks for a transformable cellular structure and attachments to existing rigidly foldable structures.