You decide to convince Sarah with math

You can’t let her abuse abstract mathematics like this. Thankfully you are a wiz at debate and quickly think of some obvious issues with her plan.

What argument do you use?

Dini cannot be Paradoxically decomposed when he is already normally decomposing.

The Axiom of choice is a bad assumption?

Wouldn’t applying all of these transforms and resampling just return half of Dini at an atomic level?

I don’t think your 3D printer will be able to sample and recreate the hamster well enough to implement Dini.

The Banach Tarski paradox only works on spheres, the transforms don’t work on hamster shapes