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Figure 3
Translational unit cells for the P, D and G minimal surfaces. In the left column we show primitive rhombohedral unit cells that are the image of the hyperbolic dodecagon built from 96 triangles (shown in Fig. 5[link]). These primitive unit cells are for the space groups of the oriented surface in each case, i.e., the surface normal direction (and the colouring of both sides) is preserved by the space-group symmetries. In the right column we show 2 × 2 × 2 conventional cubic unit cells for each surface, with the rhombohedral cell inset. The conventional cubic unit cells are those of the space groups of the non-oriented unit cells, which include symmetries that swap sides of the surface.

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ISSN: 2053-2733
Volume 65| Part 2| January 2009| Pages 81-108
doi:10.1107/S0108767308040592
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