Figure 3
(a) The Dirichlet domain around the point x = 0.32, y = 0.7 in the two-dimensional group p2 with cell parameters a = 1.45, b = 1 (arbitrary units), γ = 76°. The neighboring domains are also shown to emphasize that the plane is filled completely. The generating point and its neighboring symmetry-equivalent points together with the lines joining them are in orange, the meaning of other colors is as in previous figures. (b) Stereo presentation of the Dirichlet domain constructed around the point x = y = 0.2, z = 0.3 in the space group P222. It has the shape of a distorted rhombic dodecahedron with the same topology, i.e. the same number of faces, edges and vertices joined in the same way, as the cubic polyhedron with the same morphology. The twofold axes are shown in green and the generating point is orange. |