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Does math have a major flaw? - Jacqueline Doan and Alex Kazachek


191 Questions Answered

TEDEd Animation

Let’s Begin…

A mathematician with a knife and ball begins slicing and distributing the ball into an infinite number of boxes. She then recombines the parts into five precise sections. Moving and rotating these sections around, she recombines them to form two identical, flawless, and complete copies of the original ball. How is this possible? Jacqueline Doan and Alex Kazachek explore the Banach-Tarski paradox.

In hyperbolic geometry, there are two notions of “parallel lines.” One is "asymptotically parallel" and the other is "disjointly parallel." Research these, and draw some examples. How do these relate to the notion of parallel in Euclidean geometry?

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TED-Ed Animations feature the words and ideas of educators brought to life by professional animators. Are you an educator or animator interested in creating a TED-Ed Animation? Nominate yourself here »

Meet The Creators

  • Educator Jacqueline Doan, Alex Kazachek
  • Director Mads Lundgård, The Animation Workshop
  • Narrator Addison Anderson
  • Composer Salil Bhayani, cAMP Studio
  • Sound Designer Amanda P.H. Bennett, cAMP Studio
  • Director of Production Gerta Xhelo
  • Produced by Abdallah Ewis
  • Editorial Director Alex Rosenthal

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