Banach Tarski - Double Trouble
Channel: Mostly Mental
Date: 05/07/2021

The Banach Tarski paradox states that a sphere can be disassembled into a small number of parts and reassembled to get two spheres of the same size. In this video, we'll see how.

Sections
0:00 Intro
0:33 Duplicating a line
2:55 Free group
7:14 Rotation group
11:01 Extension to sphere
12:22 Axiom of choice