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Featuring Ayliean MacDonald. See https://brilliant.org/numberphile for Brilliant and 20% off their premium service & 30-day trial (episode sponsor)... More links & stuff in full description below ↓↓↓ Discussing the Sierpiński Triangle, Fermat Primes, and Constructible Polygons. Ayliean's YouTube channel: / ayliean More from Ayliean: https://linktr.ee/Ayliean More Numberphile videos with Ayliean: • Ayliean MacDonald on Numberphile Ben Sparks on Chaos and the Sierpiński Triangle: • Chaos Game - Numberphile Ayliean on the Tower of Hanoi and the Sierpiński Triangle: • Key to the Tower of Hanoi - Numberphile Constructible Polygons... With David Eisenbud and the 17-gon: • The Amazing Heptadecagon (17-gon) - N... With Zsuzsanna Dancso: • Euclid's Big Problem - Numberphile Patreon: / numberphile Numberphile is supported by Jane Street. Learn more about them (and exciting career opportunities) at: https://bit.ly/numberphile-janestreet We're also supported by the Simons Laufer Mathematical Sciences Institute (formerly MSRI): http://bit.ly/MSRINumberphile Our thanks also to the Simons Foundation: https://www.simonsfoundation.org NUMBERPHILE Website: http://www.numberphile.com/ Numberphile on Facebook: / numberphile Numberphile tweets: / numberphile Subscribe: http://bit.ly/Numberphile_Sub Videos by Brady Haran Numberphile T-Shirts and Merch: https://teespring.com/stores/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