A polyhe, also called an 
-he,
is a shape obtained from a polyhex with 
cells by cutting each regular hexagon
along a diagonal joining opposite vertices
and retaining one half, so that the remaining halves are connected along edges of
positive length. The construction was suggested by Brendan
Owen (Clarke). In counting polyhes, translations,
rotations, and reflections
are identified. The numbers of 
-hes
for 
, 2, ... are given by 1, 4, 13, 60, 276, 1416, 7201,
37972, ... (OEIS A057712; Clarke).
Polyhes are a subset of the polyiamonds. Specifically, the monohe is the unique triamond, the four dihes are the bar, sphinx, butterfly, and chevron hexiamonds.
