Hexagonal lattice  Wallpaper group p6m  Unit cell 

The hexagonal lattice (sometimes called triangular lattice) is one of the five twodimensional Bravais lattice types.^{[1]} The symmetry category of the lattice is wallpaper group p6m. The primitive translation vectors of the hexagonal lattice form an angle of 120° and are of equal lengths,
The reciprocal lattice of the hexagonal lattice is a hexagonal lattice in reciprocal space with orientation changed by 90° and primitive lattice vectors of length
The honeycomb point set is a special case of the hexagonal lattice with a twoatom basis.^{[1]} The centers of the hexagons of a honeycomb form a hexagonal lattice, and the honeycomb point set can be seen as the union of two offset hexagonal lattices.
In nature, carbon atoms of the twodimensional material graphene are arranged in a honeycomb point set.
The hexagonal lattice class names, Schönflies notation, HermannMauguin notation, orbifold notation, Coxeter notation, and wallpaper groups are listed in the table below.
Geometric class, point group  Wallpaper groups  

Schön.  Intl  Orb.  Cox.  
C_{3}  3  (33)  [3]^{+}  p3 (333) 

D_{3}  3m  (*33)  [3]  p3m1 (*333) 
p31m (3*3) 
C_{6}  6  (66)  [6]^{+}  p6 (632) 

D_{6}  6mm  (*66)  [6]  p6m (*632) 