Diamond and Lonsdaleite
Both diamond and lonsdaleite are constructed from tetrahedral carbon; in these structures each carbon atom is connected to four others. Both structures can be visualized as containing laters of puckered, six-membered rings. In the diamond strutcure, there are three such layers, so that the fourth is equivalent to the third, the fifth is equivalent to the second, and so forth. This gives a cubic strutcure. In the lonsdaleite structure, there are only two such layers, so that every other layer is the same. This gives a hexagonal structure. The cubic form is by far the most common.

Diamond
(Cubic Form)

Lonsdaleite
(Hexagonal Form)