Home > The 17 wallpaper groups > Oblique lattice

< Previous: The 17 wallpaper groups | Next: Rectangular lattice >

The parallelogram cell - only translations and half-turns, no mirrors or glides.

The oblique (parallelogram) lattice is the least constrained of the four: its cell is a general parallelogram, and the only symmetries available are translations and, for p2, 2-fold rotations. No reflections, no glides.

Each group is shown as three figures - the tiling view (the motif repeated, with the fundamental-domain tile tinted and the V1/V2 cell vectors marked), the group's cluster node, and the symmetry-elements view in international notation. See the overview for how to read them, and Reading the symmetry notation for what the codes mean.

p1 - translations only

p2 - 2-fold rotations

< Previous: The 17 wallpaper groups | Next: Rectangular lattice >

• The 17 wallpaper groups: the overview and the other lattices.
• Reading the symmetry notation: how to read the group codes.