Bravias Lattices
While atoms may be
arranged in many different ways, there are fourteen basic types,
known as the Bravais Lattices. They can be seens as follows:
Cubic: all three directions have the same period, and are all orthogonal.

Body-Centered Cubic (BCC):

Face-Centered Cubic (FCC):

Tetragonal:

Orthorhombic:

Rhombohedral:

Monoclinic:

Triclinic:

currently, images are from http://hyperphysics.phy-astr.gsu.edu/hbase/solids/bravais.html, they will be replaced later with 3D images.