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youtube.com/watch?v=4gsp3CZUtV: How to tell someone how to get to your house without knowing where they're starting, how to translate a Penn & Teller trick into Spanish, and other applications of the Černý conjecture on synchronizing words (en.wikipedia.org/wiki/Synchron).

This video by Nóra Szakács is one of an enormous number of recent mathematics explanation videos in the "Some1" summer of math exposition video project. Another 20 top videos from the project are overviewed at youtube.com/watch?v=F3Qixy-r_r

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