/---------------G------------I
/ | / \
/ /----A | / \
/ / / \ | / \
F---E B---C | J-------K
\ \ \ / | \ /
\ \----D | \ /
\ | \ /
\---------------H------------L
Figure 1
Figure 1 is a cubic planar graph with "seperating triangle" FGH
But Figure 1 has a bridge; ie, edge FE. The IJKL twin-triangle could be put
inside the triangle, but then the graph would no longer be cubic.
b