Rediscovering Euler's formula with a mug (not that Euler's formula) - Part 4 of 4

The video features a group of YouTubers attempting to solve a puzzle involving connecting utilities to houses without crossing lines. The puzzle is proven impossible on a plane using mathematical concepts like planar graphs and Euler's formula. However, the solution is possible on a mug due to its topological properties, specifically using the handle as a bridge. The video highlights problem-solving strategies and the importance of persistence in tackling challenging puzzles.

What new insight or understanding did you gain from this video?