Paper by Erik D. Demaine
- Erik D. Demaine, Martin L. Demaine, Jin-Ichi Itoh, and Chie Nara, “Continuous flattening of orthogonal polyhedra”, in Revised Papers from the 18th Japan Conference on Discrete and Computational Geometry and Graphs (JCDCGG 2015), Lecture Notes in Computer Science, volume 9943, Kyoto, Japan, September 14–16, 2015, pages 85–93.
Can we flatten the surface of any 3-dimensional polyhedron P without
cutting or stretching? Such continuous flat folding motions are known when
P is convex, but the question remains open for nonconvex polyhedra. In
this paper, we give a continuous flat folding motion when the polyhedron
P is an orthogonal polyhedron, i.e., when every face is orthogonal to a
coordinate axis (x, y, or z). More generally, we
demonstrate a continuous flat folding motion for any polyhedron whose faces
are orthogonal to the z axis or the xy plane.
- This paper is also available from SpringerLink.
- The paper is available in PDF (270k).
- See information on file formats.
- [Google Scholar search]
- Related papers:
- FlatteningOrthogonal_JCDCGG2015 (Continuous flattening of orthogonal polyhedra)
See also other papers by Erik Demaine.
These pages are generated automagically from a
Last updated December 5, 2021 by