The cat's cradle, stirring, and topological complexity

Details The cat's cradle, stirring, and topological complexity The cat's cradle, stirring, and topological complexity

2009-04-05

arxiv.org/abs/0904.0778v2

Nonlinear Sciences

Chaotic Dynamics

7 pages, 5 figures, PDFLatex with RevTeX4. Published in Dynamical Systems Magazine (http://www.dynamicalsystems.org/ma/ma/disp

Scientific paper

There are several physical situations in which the `tangling' of a loop is
relevant: the game of cat's cradle is a simple example, but a more important
application involves the stirring of a fluid by rods. Here we discuss how
elementary topology constrains the types of mappings that can occur on a
surface, for example when the surface is the domain of a two-dimensional fluid.

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