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


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.


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


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

zbMATH: 0802.58035
MathSciNet: MR1273409

Primary: 58F03
Secondary: 14H52 , 52A37

Rights: Copyright © 1993 A K Peters, Ltd.

Vol.2 • No. 3 • 1993
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