In the diagram below we have the representation of a hexagonal prism in the orthogonal system xyz, of origin O and x, y and z axes as indicated in the diagram. The base of the prism is the hexagon (non-regular) A1B1C1D1E1F1, with its vertices being the points of the xy plane with coordinates (in the xyz orthogonal system) as indicated in the figure on the left.

The prism is 3 units high, so points designated by the same letter and consecutive indices are separated by one unit of length in the z-axis direction. For example, as A1 = (?1, 0, 0), we have A2 = (?1, 0, 1), A3 = (?1, 0, 2) and A4 = (?1, 0, 3).

E4 C4 FA B4 D A4 Egi C3 Ty F3 D2 D1 B3 E1 A3 (1,2,0) C2 (-1,2,0) F2 B2 D. (2, 1,0) A2 (-2,10) C1 C1 F1 X A1 O B1 (-1,0,0) (1,0,0) X B1 A1 O (0,0,0)