Can We Hear Shapes?

What do shapes sound like? Scholars learn about the frequencies of pure tones created by vibrations of shapes. The video first considers the case of string, then moves on to two dimensions. It touches upon Fourier series and a question posed by Mark Kac about the connection between frequencies and shapes.

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Instructional Ideas

  • Conduct a cross-curricular lesson with the music and science departments
Classroom Considerations

  • Learners should understand sine waves, its period, and its amplitude
  • Note that the video touches upon some calculus concepts, such as differential equations and eigenvalues
  • Last few minutes discuss answers to extension questions in the video "Can You Solve the Poison Wine Challenge?"
Pros

  • Builds from the easier case of one dimension to two dimensions
  • Detailed and informative video
Cons

  • None