The bee polyhex is the compact 4-polyhex in which five of the six pairs of constituent regular hexagons
share an edge. It is one of the seven 4-polyhexes when
shapes that differ only by translation, rotation,
or reflection are identified (Gardner 1978, p. 147).
Its cell-adjacency graph is the diamond graph.
The shape is invariant under a rotation through and under reflections in two perpendicular axes.