Figure 1 (For animation, click on the picture...)
The diamond lattice is not a Bravais lattice, because the environment of each point differs in orientation from the environment of its nearest neighbors.
The 4x4 cell of the diamond lattice is shown in Fig.2.
Figure 2 (To get the big picture, click on it...)
This structure is an example of a lattice with basis, which must be so described both because of the geometrical position of the ions and because two types of ions occur.
The 4x4 cell of the GaAs lattice is shown in Fig.4.
Figure 4 (To get the big picture, click on it...)