Science YouTubers attempting a graph theory puzzle

The video features a group of YouTubers attempting to solve a classic puzzle involving connecting utilities to houses without crossing lines. The challenge is explained, and initial attempts are made. The video delves into graph theory, explaining why the puzzle is impossible on a plane using Euler's formula. The solution is revealed using a mug's handle, demonstrating topological concepts. The video concludes with encouragement to explore further and highlights the educational value of problem-solving.

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