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Richard Schwartz of Brown University demonstrates some of the graphical user interfaces he has written to help understand geometrically defined dynamical systems, including billiards, polygon exchange transformations and polygon iterations, June 26, 2014 at the Bill Thurston Legacy Conference.
The conference, "What's Next? The mathematical legacy of Bill Thurston," held at Cornell June 23-27, 2014, brought together mathematicians from a broad spectrum of areas to describe recent advances and explore future directions motivated by Thurston's transformative ideas.