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Figure 4
(a) Original drawings of pentagonal assemblages created by Dürer (1525BB9) illustrating the fact that regular pentagons cannot tile the plane, one of the best packings being shown on the right. It is a two-dimensional periodic structure, designated here as the `Dürer structure', multiply twinned around a central fivefold axis. (b) Construction by the authors of a tenfold twinning of the Dürer structure obtained by a spiral-like growing mode around a central empty decagon. The geometric nature of the twin interface h in green is shown in Fig. 6[link].

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