  We prove that any one-ended, locally finite Cayley graph with non-torsion
generators admits a decomposition into edge-disjoint Hamiltonian (i.e.
spanning) double-rays. In particular, the $n$-dimensional grid $\mathbb{Z}^n$
admits a decomposition into $n$ edge-disjoint Hamiltonian double-rays for all
$n \in \mathbb{N}$.
