“…Moreover, quasiperiodic photonic crystals inspired by mathematical sequences, such as the Fibonacci (S n = S n−1 + S n−2 ) [14,15], Thue-Morse (S n+1 = S n Sn , Sn+1 = Sn S n ) and double-period [16][17][18], Octonacci (S n = S n−1 S n−2 S n−1 , for n ⩾ 3) [19,20], and Dodecanacci sequences (S n = {AS n−2 S n−1 } 2 S n−1 , for n ⩾ 3) [21][22][23][24][25], have also been explored. These sequences, known for their recursive nature, further contribute to the versatility of quasiperiodic photonic crystals.…”