Does math possess a critical flaw? - Jacqueline Doan and Alex Kazachek

Practice more problem-solving at https://brilliant.org/teded--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.Lesson by Jacqueline Doan and Alex Kazachek, directed by Mads Lundgård.This video made possible in collaboration with BrilliantLearn more about how TED-Ed partnerships work: https://bit.ly/TEDEdPartnersSupport Our Non-Profit Mission----------------------------------------------Support us on Patreon: http://bit.ly/TEDEdPatreonCheck out our merch: http://bit.ly/TEDEDShop----------------------------------------------Connect With Us----------------------------------------------Sign up for our newsletter: http://bit.ly/TEDEdNewsletterFollow us on Facebook: http://bit.ly/TEDEdFacebookFind us on Twitter: http://bit.ly/TEDEdTwitterPeep us on Instagram: http://bit.ly/TEDEdInstagram----------------------------------------------Keep Learning----------------------------------------------View full lesson: https://ed.ted.com/lessons/does-math-have-a-major-flaw-jacqueline-doan-and-alex-kazachekDig deeper with additional resources: https://ed.ted.com/lessons/does-math-have-a-major-flaw-jacqueline-doan-and-alex-kazachek/digdeeperAnimator's website: https://www.uptree.dk----------------------------------------------Thank you so much to our patrons for your support! Without you this video would not be possible! Heidi Stolt, Nicole Sund, Karlee Finch, Mario Mejia, Denise A Pitts, Doug Henry, Keven Webb, Mihai Sandu, Deepak Iyer, Javid Gozalov, Kyanta Yap, Rebecca Reineke, William Biersdorf, Patricia Alves Panagides, Yvette Mocete, Cyrus Garay, Samuel Barbas, LadyGeek, Marin Kovachev, Penelope Misquitta, Hans Peng, Gaurav Mathur, Erik Biemans, Tony, Michelle, Katie and Josh Pedretti, Hoai Nam Tran, Kack-Kyun Kim, Michael Braun-Boghos, zjweele13, Anna-Pitschna Kunz, Edla Paniguel, Thomas Mungavan, Jaron Blackburn, Venkat Venkatakrishnan, ReuniteKorea, Aaron Henson, Rohan Gupta, Begum Tutuncu, Brian Richards, Jørgen Østerpart, Tyron Jung, Carsten Tobehn, Katie Dean, Ezgi Yersu, Gerald Onyango, alessandra tasso, Doreen Reynolds-Consolati, Manognya Chakrapani, Ayala Ron, Eunsun Kim and Phyllis Dubrow. Learn more about your ad choices. Visit megaphone.fm/adchoices