The Arctic Circle Theorem - Why Do Physicists Play Dominoes?

Explore the fascinating Arctic Circle Theorem and its connections to physics and mathematics in this 52-minute video lecture. Delve into mutilated chessboards, monster formulas, and Aztec diamonds as you uncover the beauty of domino tilings and their surprising properties. Learn about square dances, ice formations, and hexagonal patterns while discovering the mathematical principles behind these intriguing phenomena. Gain insights into the work of renowned mathematicians and physicists in the field of tiling enumeration. Follow along with detailed explanations, visual demonstrations, and a mini-masterclass to deepen your understanding of this captivating theorem and its wide-ranging applications.

Intro.
Chapter 1: mutilated chessboards.
Chapter 2: Monster formula.
Chapter 3: Aztec gold.
Chapter 4: Square dance.
Chapter 5: Ice.
Chapter 6: Hexagon.
Credits.
Mini masterclass.
81–1888, 1969..