“…The photonic quasi-lattices are artificial dielectric inhomogeneous media, where scattering centers are usually located in the vertices of the tiles [5]. The quasiperiodic order gives rise to many nonequivalent defect sites, increasing the flexibility of these materials for different photonic applications and leading to interesting properties for confining and guiding electromagnetic energy [6,7]. Superlensing effect, directive emission, and mode confinement [8 -11] are examples of the quasicrystal features that have recently attracted tremendous interest because of their potential impact in optical components.…”