Paper by Erik D. Demaine

Reference:
Erik D. Demaine and Joseph S. B. Mitchell, “Reaching Folded States of a Rectangular Piece of Paper”, in Proceedings of the 13th Canadian Conference on Computational Geometry (CCCG 2001), Waterloo, Ontario, Canada, August 13–15, 2001, pages 73–75.

Abstract:
We prove that any folded state of a rectangular piece of paper (a continuous isometric non-self-intersecting mapping of the paper into space) can be reached by a continuous folding process, starting from the unfolded state, while at all times being a valid folding. In our model, the paper cannot properly cross itself, but can touch itself, as in a flat folding.

Comments:
This paper is also available from the electronic proceedings as http://compgeo.math.uwaterloo.ca/~cccg01/proceedings/short/eddemaine-33029.ps.gz.

Photos of Victoria Hart folding a crane by our algorithm

Length:
The paper is 3 pages.

Availability:
The paper is available in PostScript (118k) and gzipped PostScript (45k).
See information on file formats.
[Google Scholar search]

Related papers:
PaperReachability_CCCG2004 (Continuous Foldability of Polygonal Paper)

Related webpages:
Folding and Unfolding


See also other papers by Erik Demaine.
These pages are generated automagically from a BibTeX file.
Last updated November 16, 2017 by Erik Demaine.