Show that $\mathbb R_1^2$ and $\mathbb R_{\infty}^2$ are isometric

Question

How can I show that $\mathbb R_1^2$ and $\mathbb R_{\infty}^2$ are isometric.

I know that it suffices to find a bijective map $T:\mathbb R_1^2 \to \mathbb R_{\infty}^2$ such that $\|T(x_1,y_1)-T(x_2,y_2)\|_{\infty}=\|(x_1,y_1)-(x_2,y_2)\|_1$ but I have a hard time in constructing such $T$.

Can someone be of help, any hints would be appreciated.