Mathematics: Two Hands Clapping

The conductor's baton comes to a dramatic halt. The orchestra's final note rings in the air. There is a split second of awed silence, then thunderous applause as the audience expresses its appreciation.

To a mathematician's ears, there is something else going on. Typically, after a few seconds of chaotic clapping, an audience will slip into synchronized applause, like two people adjusting their strides until they walk in step. But just as walkers will reassert their natural gait, a clap-happy audience will fall in and out of synch repeatedly. According to a study of ovations in Romania and Hungary, this back-and-forthing...

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