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Figure 13
Predicted four-scale octadecagonal quasicrystal: blue and red shades correspond to negative field values [\phi \,\gtrsim] −0.1615 and positive values [\phi \,\lesssim] 0.6008, respectively. This quasicrystal has = −0.06. At this , the minimization of the quartic energy in equation (35b)[link] gives [{\tilde \rho}_1] ≃ 0.02960, [{\tilde \rho}_{q_1}] ≃ 0.01234, [{\tilde \rho}_{q_2}] ≃ 0.01243 and [{\tilde \rho}_{q_3}] ≃ 0.01246.

IUCrJ
Volume 5| Part 3| May 2018| Pages 247-268
ISSN: 2052-2525