The propeller polyhex is the 4-polyhex formed by joining three regular hexagons to alternating edges of
a central hexagon. 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 claw graph 
.
The shape is invariant under rotations through 
.
