Pi and the Mandelbrot Set

Pi shows up in a lot of places, even in the complex plane. Individuals watch a video in the Numberphile Pi series that shows the Mandelbrot set in the complex plane and explains how pi shows up in the number of iterations.

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Instructional Ideas

  • Have pupils research different fractals in a journal entry
  • Team up with an art teacher for the artistic aspect of fractals
Classroom Considerations

  • It is helpful if learners have some familiarity with fractals and Mandelbrot sets
Pros

  • Explains mathematics in a way all viewers can understand
  • Back-and-forth conversations between the speaker and the off-camera narrator help clarify concepts
Cons

  • Not likely to be of interest to teenagers