The cubeplex graph is the cubicHamiltonian graph on 12 nodes illustrated above in several embeddings and corresponding to
the graph
in Fischer and Little (2001). It has LCF notation .

Norine and Thomas (2008) used the term "'cubeplex graph" to describe one of the 12-vertex graphs
and
from Fischer and Little (2001). Unfortunately, in the figure supposedly giving embeddings
for the graphs termed cubeplex and twinplex in
that paper (reproduced above), both embeddings correspond to Fischer and Little's
. However, since Robertson et
al. (2019) identify the twinplex graph with
a correct explicit figure, both graphs in Norine and Thomas (2008) can be identified
as embeddings of the cubeplex graph.

Clancy, K.; Haythorpe, M.; Newcombe, A.; and Pegg, E. Jr. "There Are No Cubic Graphs on 26 Vertices with Crossing Number 10 or 11."
Preprint. 2019.Fischer, I. and Little, C. H. C. "A Characterisation
of Pfaffian Near Bipartite Graphs." J. Combin. Th., Ser. B82,
175-222, 2001.Norine, S. and Thomas, R. "Minimally Non-Pfaffian
Graphs." J. Combin. Th., Ser. B98, 1038-1055, 2008.Robertson,
N.; Seymour, P.; and Thomas, R. "Excluded Minors in Cubic Graphs." J.
Combin. Th., Ser. B. In press, May 2019.