Video Description

How can a doughnut be equivalent to a mug? CHAPTERS: 00:00 - Turning a Mug into a Doughnut 01:30 - Geometry vs. Topology 02:05 - Review on Polyhedra 02:58 - Euler Characteristic of a Sphere 04:07 - Euler Characteristic of a Torus 04:51 - Euler Characteristic Formula given no. of Holes 05:10 - A Homeomorphism Puzzle 05:42 - Puzzle Solution 06:54 - Topology Complexity Iceberg 07:07 - Closing Previous Video on Möbius Strip and Klein Bottle: https://youtu.be/JmvHNatZgVI SUPPORT Patreon : https://patreon.com/drewscampfire For one-time payments, you can quickly do it here like a normal online purchase: https://buymeacoffee.com/drewscampfire Or if you prefer PayPal: https://paypal.me/drewscampfire Visit https://brilliant.org/AndrewsCampfire/ to get started learning STEM for free, and the first 200 people will get 20% off their annual premium subscription. #SoME2 This video is sponsored by Brilliant.