Table of Contents
Volume 2013, Article ID 897320, 4 pages
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.


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.