TED-ED: Group theory 101: How to play a Rubik's Cube like a piano - Michael Staff

The video explores group theory, a mathematical field that explains how elements form groups by following four axioms: closure, associativity, identity, and inverses. It demonstrates the application of group theory in solving a Rubik's Cube by analyzing permutations and in music through chord inversions. The video highlights the versatility of group theory in different domains, showing its role in both puzzle solving and musical composition.

What is a diminished seventh chord and how does it relate to group theory?

Describe how inversions in music relate to group theory.