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Geometry
Volume 2013 (2013), Article ID 897320, 4 pages
http://dx.doi.org/10.1155/2013/897320
Research Article
Subdividing the Trefoil by Origami
Department of Mathematics, Case Western Reserve University, Cleveland, OH 44106-7058, USA
Received 7 November 2012; Accepted 21 November 2012
Academic Editor: Michel Planat
Copyright © 2013 Joel C. Langer and David A. Singer. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
In 2005, David Cox and Jerry Shurman proved that the curves they call -clovers can be subdivided into equal lengths (for certain values of ) by origami, in the cases where , 2, 3, and 4. In this paper, we expand their work to include the 6-clover.