Oblique lattice

Short description: 2-dimensional inclined lattice

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Oblique lattice  | Wallpaper group p2  | Unit cell

The oblique lattice is one of the five two-dimensional Bravais lattice types.[1] The symmetry category of the lattice is wallpaper group p2. The primitive translation vectors of the oblique lattice form an angle other than 90° and are of unequal lengths.

## Crystal classes

The oblique lattice class names, Schönflies notation, Hermann-Mauguin notation, orbifold notation, Coxeter notation, and wallpaper groups are listed in the table below.

Geometric class, point group | Arithmetic
class  | Wallpaper groups

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Schön. | Intl | Orb. | Cox.
C1 | 1 | (1) | [ ]+ | None  | p1
(1)
C2 | 2 | (22) | [2]+ | None  | p2
(2222)

## References

1. ↑ Rana, Farhan. "Lattices in 1D, 2D, and 3D". https://courses.cit.cornell.edu/ece407/Lectures/handout4.pdf.

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