ABSTRACT

This chapter introduces the design techniques for axisymmetric three- dimensional (3D) origami shapes. The polyhedron is formed by rotating the polygonal line on the right around the vertical dash-dot axis at 60-degree intervals and connecting the vertices. The chapter suggests origami shapes having a structure that appears as if it wraps an axisymmetric polyhedron. It explains the several 3D origami types varying with the combination of pleat and wrapping types. The flat-pleat cylinder type can make the shape of wrapping a solid from the side with the tip tightly closed. With an increased number of circumferentially divided segments, the solid becomes more like a sphere, but it concentrates layers of paper at the twist closing and results in an awkward shape due to thickness at the overlap. The flat-pleat cylinder-type crease pattern can be created for various axisymmetric solids.