Figure 13
The subgroup chart. A fundamental domain for is built from the four triangles labelled I, R1, R2 and R1R2. Twenty-four of these quadrilateral domains are needed to fill out a translational unit cell. One possible set of 24 quadrilaterals is the highlighted (18-sided) polygonal domain. The dodecagon bounded by yellow edges marks the translational unit cell described in Fig. 10. Note how the highlighted domain differs from the (yellow) dodecagon by displacing a triangle from one edge to the diagonally opposite one. |