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Figure 12
Predicted four-scale octagonal quasicrystal: blue and red shades correspond to negative field values [\phi \,\gtrsim] −0.2306 and positive values [\phi \,\lesssim] 1.117, respectively. This quasicrystal has = −0.09. At this , the minimization of the quartic energy in equation (35a)[link] gives [{\tilde \rho}_1] ≃ 0.05427 and [{\tilde \rho}_{q_1}] = [{\tilde \rho}_{q_2}] = [{\tilde \rho}_{q_3}] ≃ 0.02856.

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