Some of the Most Gorgeous Visual "Shrink" Proofs Ever Invented

Explore a fascinating mathematical journey in this 31-minute video that begins with the search for equilateral triangles in square grids and culminates in the realm of irrationality. Discover rarely-known, visually stunning proofs as you delve into puzzles, historical references, and geometric concepts. Learn about Edward Lucas, investigate 3D applications, and explore the intricacies of 30-45-60 triangles. Gain insights into rational trigonometric ratios and their implications for regular polygons in lattices. Engage with challenging side puzzles and access additional resources for further exploration of these captivating mathematical concepts.

Intro.
First puzzle.
Second puzzle.
Edward Lucas.
Equilateral triangles.
3d & 3rd puzzle.
30 45 60.
Credits.