The 
truncated square lattice graph is the cubic graph
obtained from a finite version of the truncated square lattice
where the vertices of squares
on the boundary "wrap around" (cf. Razzoli
et al. 2020).
Special cases are summarized in the following table.
-
The 
graph is the tetrahedral graph 
and is not a unit-distance
graph. Up to interchanging 
and 
, exact unit-distance
embeddings have been verified for all other pairs with 
except 
, 
, 
, 
, 
, 
, 
, 
, 
, 
, 
, 
, 
, 
, 
, 
, 
, 
, 
, 
, 
, 
, 
, 
, 
, and 
. Numerical coordinate data suggest that the 
and 
cases are also unit-distance.
