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:    • Paradox of the Möbius Strip and Klein...  

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