  Partial cubes are graphs isometrically embeddable into hypercubes. In this
paper it is proved that every cubic, vertex-transitive partial cube is
isomorphic to one of the following graphs: $K_2 \, \square \, C_{2n}$, for some
$n\geq 2$, the generalized Petersen graph $G(10,3)$, the cubic permutahedron,
the truncated cuboctahedron, or the truncated icosidodecahedron. This
classification is a generalization of results of Bre\v{s}ar et al.~from 2004 on
cubic mirror graphs, it includes all cubic, distance-regular partial cubes
(Weichsel, 1992), and presents a contribution to the classification of all
cubic partial cubes.
