The Iron Man Hyperspace Formula Really Works - Hypercube Visualising, Euler's N-D Polyhedron Formula

Explore the fascinating world of mathematical higher-dimensional spaces and their connection to the powers of (x+2) in this 31-minute video. Delve into the counterparts of Euler's polyhedron formula across all dimensions, examine a mathematical moment from Iron Man 2, and gain a deeper understanding of hypercubes. Witness higher-dimensional shadow play and discover multiple elegant proofs. Learn about Cauchy's proof of Euler's polyhedron formula, explore Tristan's proof of the (x+2)^n formula, and observe animations of spinning cube shadows. Gain insights into n-dimensional tetrahedra and octahedra, and find links to related resources, including Mathematica notebooks for creating cube and hypercube shadows.

Intro.
Chapter 1: Iron man.
Chapter 2: Towel man.
Cauchy's proof of Euler's polyhedron formula.
Chapter 3: Beard man.
Tristans proof that (x+2)^n works.
Chapter 4: No man.
Shadows of spinning cubes animation.
Thanks.