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Featuring Professor Günter Ziegler, who was visiting at MSRI. Extra footage at: • Cannons and Sparrows (extra footage) ... More links & stuff in full description below ↓↓↓ This video features Professor Günter Ziegler from Institut für Mathematik, Freie Universität Berlin. The blog post which kicked it off: http://nandacumar.blogspot.de/2006/09... Convex Equipartitions via Equivariant Obstruction Theory: https://arxiv.org/abs/1202.5504 Numberphile is supported by the Mathematical Sciences Research Institute (MSRI): http://bit.ly/MSRINumberphile We are also supported by Science Sandbox, a Simons Foundation initiative dedicated to engaging everyone with the process of science. NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: / numberphile Numberphile tweets: / numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Support us on Patreon: / numberphile Brady's videos subreddit: / bradyharan Brady's latest videos across all channels: http://www.bradyharanblog.com/ Sign up for (occasional) emails: http://eepurl.com/YdjL9 Discuss this video on Brady's subreddit: https://redd.it/7s6x6n These slices (also known as "fair partitions") represented in drawings and animations are approximations for illustrative purposes - we've not calculated truly fair partitions, as you can probably see.