Pick's Theorem (From Euler's Planar Graph Formula)
In this video we'll discuss Pick's Theorem: probably the most famous theorem in lattice geometry. We'll use Euler's results from graph theory (namely, his planar graph formula) to prove this theorem.
References and Notes:
Ref. 1. This proof is given in full in Garbett (2010) - https://documents.kenyon.edu/math/Gar...
Also see Ref. 1 for proof that any primitive lattice polygon can be divided into primitive lattice triangles
Ref. 2. See • A really Satisfying Proof about Trian... for proof that primitive lattice triangles have an area of one half
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