Figure 4
(a) Original drawings of pentagonal assemblages created by Dürer (1525 ) 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 . |