### Banach-Tarski

Posted:

**Sat Nov 24, 2018 7:18 pm UTC**So, having just watch the vsauce video on the Banach-Tarski paradox, I am clearly an expert /sarcasm.

Since I am very much not an accomplished mathematician, I am mostly asking to be told why my thoughts are wrong. The argument relies on using points whose final rotation is UDLR. It seems to me, though, that you may as well delete the last rotation, because with or without it the set remains the same. So then the set of rotations ending in U is the same as the set ending UDLR.

Again, I know I'm wrong, but I'm looking to be told -why-.

Since I am very much not an accomplished mathematician, I am mostly asking to be told why my thoughts are wrong. The argument relies on using points whose final rotation is UDLR. It seems to me, though, that you may as well delete the last rotation, because with or without it the set remains the same. So then the set of rotations ending in U is the same as the set ending UDLR.

Again, I know I'm wrong, but I'm looking to be told -why-.