<p>Photonic crystals (PCs) are materials with periodic dielectric structures that create photonic band gaps (PBGs), enabling advanced manipulation of light. Traditional PCs are well established, yet their performance can be sensitive to structural imperfections, motivating the exploration of alternative architectures such as photonic quasicrystals (PQCs). This study explores PQCs that exhibit aperiodic order and unique optical properties, thereby overcoming some of the limitations associated with periodic structures. Utilizing Rauzy fractals, we design three-material photonic quasicrystals (TMPQCs) that leverage their mathematical properties to achieve enhanced optical effects. By employing advanced substitution rules, we generate diverse optical responses and systematically analyze the transmission spectra of TMPQCs across various configurations and generations. Our findings reveal the impact of material arrangement and refractive index contrasts on PBG formation, demonstrating the potential of TMPQCs for innovative photonic applications. This research contributes to a deeper understanding of quasicrystalline materials and paves the way for the design of advanced photonic devices with tailored optical properties.</p>