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Cutting sequences

A geodesic on a translation surface crosses edges in a (possibly) infinite sequence. The sequence of edges crossed is called a "crossing sequence" and can be studied with the techniques of symbolic dynamics.

[Soon, maybe, we will address this for generic boxes in the sense of Almost all Boxes and connect cutting sequences for a normal, triangular {$a\times b\times c$} box, {$a<b<c$}, and the {$c-a,c-b$} rectangle.

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Page last modified on July 31, 2013, at 07:20 AM