Open Access
Translator Disclaimer
1993 The dynamics of quadrilateral folding
Kevin Charter, Thomas Rogers
Experiment. Math. 2(3): 209-222 (1993).

Abstract

When a quadrilateral undergoes a certain infinite folding process, an intricate curve is traced out by its transformed vertices. The curve possesses attractive symmetry properties. We study the folding as a dynamical system in $\C^4$, which is partially described by a billiard-like dynamical system on the bounded component of an elliptic curve associated with the squared diagonal lengths.

Citation

Download Citation

Kevin Charter. Thomas Rogers. "The dynamics of quadrilateral folding." Experiment. Math. 2 (3) 209 - 222, 1993.

Information

Published: 1993
First available in Project Euclid: 3 September 2003

zbMATH: 0802.58035
MathSciNet: MR1273409

Subjects:
Primary: 58F03
Secondary: 14H52 , 52A37

Rights: Copyright © 1993 A K Peters, Ltd.

JOURNAL ARTICLE
14 PAGES


SHARE
Vol.2 • No. 3 • 1993
Back to Top