I was reading a little bit about the Banach–Tarski theorem. Is this similar to a line segment of length 1 having the same points as a square with side lengths of 1. And then also a cube with sides of length 1. So then I should be able to take a square and pick out all the points and construct a cube with the same side length. And I should be able to construct as many cubes as I want from that square just by picking out points and constructing my cube. Is this related to the Banach–Tarski theorem or am I crazy.(adsbygoogle = window.adsbygoogle || []).push({});

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Question about the Banach–Tarski paradox.

**Physics Forums | Science Articles, Homework Help, Discussion**