infinite homotopy classes of maps between finite simplicial complexes

Question

This post proves that there are at most countably many homotopy classes of maps $|K| → |L|$ for finite simplicial complexes $K$ and $L$.

Can you give an example that there are countably infinite many homotopy classes of maps $|K| → |L|$?

Answer 1

$K=L=S^1$ (triangulated however you like) with the infinitely many homotopy classes $$f_n(z)=z^n $$