The dynamics of quadrilateral folding
Charter, Kevin ; Rogers, Thomas
Experiment. Math., Tome 2 (1993) no. 4, p. 209-222 / Harvested from Project Euclid
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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.
Publié le : 1993-05-14
Classification:  58F03,  14H52,  52A37 
@article{1062620831,
     author = {Charter, Kevin and Rogers, Thomas},
     title = {The dynamics of quadrilateral folding},
     journal = {Experiment. Math.},
     volume = {2},
     number = {4},
     year = {1993},
     pages = { 209-222},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1062620831}
}

Charter, Kevin; Rogers, Thomas. The dynamics of quadrilateral folding. Experiment. Math., Tome 2 (1993) no. 4, pp.  209-222. http://gdmltest.u-ga.fr/item/1062620831/