Mind-blowing explainer on fixed points

Understanding advanced mathematics can change how you see the world, so prepare for an eye-opening journey into the world of fixed points, courtesy of Michael at Vsauce.

As Michael says:

A fixed point is anything that goes nowhere after a transformation.Brouwer's Theorem tells us that it is impossible to completely mix up a set of points if they are bounded, without holes, and transformed continuously with no cutting or gluing. Without bounds, every point can be mapped somewhere new.

Includes a little trivia up top about the secret Moon Museum of art, covered here previously here and here.

Fixed Points (YouTube / Vsauce)