“…10,11 Often, the dodecagonal quasicrystal (DDQC) phase with 12-fold orientational symmetry and only one-dimensional (1D) translational symmetry are closely associated with F-K phases, due to similarities in local tetrahedral packing rules. [12][13][14] Complex F-K phases and the DDQC phase have not only been observed in broad soft matter systems, including diblock copolymers, [15][16][17][18][19][20][21][22][23] dendrimers, 13,[24][25][26][27][28][29][30][31] polymer colloids, 32 small molecular surfactants, [33][34][35] giant molecules, [36][37][38][39][40] and very recently, sugar-polyolefin conjugates, 41,42 but also mesoporous silica, 43,44 binary nanocrystal superlattices, 45,46 and DNA functionalized nanoparticles. 47,48 Several types of F-K phases only have considerably small differences between their overall free energies.…”