Hello,

Has anyone heard of the plate trick ? Plate trick - Wikipedia, the free encyclopedia

I've already proofed the double-covering of $\displaystyle SO_3(R)$ by $\displaystyle SU_2(\mathbb{R})$. I've also shown that $\displaystyle SO_3(\mathbb{R})$'s fundamental group is $\displaystyle \mathbb{Z}/2\mathbb{Z}$. But I can't find anything between these results and the fact my arm can't make a 360° turn and go back to initial position without having my soup plate fall.

Can somebody help me modelize my arm, and explain to me the passage from theorical to practical?

thanks!