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TED-Ed

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

390,654 Views

322 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.

Watch the video and finish the Think section to complete the lesson.


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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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