3Blue1Brown
Euler's Formula and Graph Duality - Part 2 of 4
A very clever proof of Euler's characteristic formula using spanning trees.
3Blue1Brown
Euler's Formula and Graph Duality
A very clever proof of Euler's characteristic formula using spanning trees.
3Blue1Brown
Rediscovering Euler's formula with a mug (not that Euler's formula) - Part 4 of 4
A classic puzzle in graph theory, the "Utilities problem", a description of why it is unsolvable on a plane, and how it becomes solvable on surfaces with a different topology.
3Blue1Brown
Science YouTubers attempting a graph theory puzzle
A classic puzzle in graph theory, the "Utilities problem", a description of why it is unsolvable on a plane, and how it becomes solvable on surfaces with a different topology.
3Blue1Brown
Circle Division Solution: Circle Division - Part 2 of 2
Moser's circle problem, and its solution.
TED-Ed
How the Königsberg Bridge Problem Changed Mathematics
There is one bridge too many. A video presents the history of the Konigsberg Bridge problem. To solve the problem, Euler invented a new branch of mathematics—and graph theory was born. Using this new branch of mathematics, mathematicians...
PBS
Proving Pick's Theorem
Pick up a resource on Pick's Theorem. Individuals watch a video explaining how to find the area of a polygon drawn on a lattice using Pick's Theorem. The film also shows a proof of the theorem using the Euler characteristic and algebra.