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MR2171238 (2006g:37066) 37E15 (11R18 11Z05 37A25 37B10 37C25)
Ashwin, Peter; Goetz, Arek Polygonal invariant curves for a planar piecewise isometry. Trans. Amer. Math. Soc. 358 (2006), no. 1, 373–390 (electronic).
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