ABSTRACT
Much work has been done on the subject of extrusion origami, where polyhedra are extruded from a flat sheet via grafting. Notable works include the extrusion of orthogonal mazes [Demaine et al. 11] and the algorithm to extrude any polycube (a polyhedron composed of identical cubes) [Benbernou et al. 11]. The polycube algorithm is based on drawing the net of a cuboid on the paper, after which any paper between adjacent (in the cuboid) faces is folded and hidden inside the cuboid. Similar in approach is the Origamizer program [Tachi 09], which folds a polyhedral surface by breaking it up into surface polygons that are distributed on a flat sheet and then brought back together by hiding the paper between them behind the surface using tucks.
