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Figure 2
Examples of [{\bb Z}]-module models based on the module generated by the regular pentagon. (a) This structure (dark blue atoms) is a periodic ordered decoration (group cm) of the well known Penrose tiling built with the two golden rhombi with acute angles of [2\pi/5] and [\pi/5] drawn in light grey. It is a substructure of the famous tiling originally drawn by Dürer (1525BB4) built with two adjacent regular pentagons sharing an edge. (b) This honeycomb-like network of atoms (in light blue) with group c2mm is a set of connected hexagons that are obtained by superimposing two opposite regular pentagons sharing a diagonal as shown on the right of the figure. The structure is described using the five-dimensional module of the regular pentagon but this same structure can also be viewed as the projection of a set of cubes, and thus be described by the three-dimensional projection of the cube.

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ISSN: 2053-2733
Volume 73| Part 6| November 2017| Pages 427-437
https://doi.org/10.1107/S2053273317013882
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