- This is just the Cayley graph over \(\ZZ
\cross \ZZ\), or essentially the integer lattice:

Solution
The displayed graph is identified as the Cayley graph of \(\mathbb Z^2\). A covering-space computation also requires the base graph and covering map.
P-IXL2P

The displayed graph is identified as the Cayley graph of \(\mathbb Z^2\). A covering-space computation also requires the base graph and covering map.