“…Self-avoiding random walks (SAWs) and polygons (SAPs) have been studied extensively on 2D and 3D lattices [30] with specific examples being the honeycomb [31][32][33][34], square [35,36], triangular [37], simple cubic [35,[38][39][40], body centered cubic (BCC) [41], and face centered cubic (FCC) [41,42] lattices. Due to their importance and general applicability, significant algorithmic and theoretical advances have been made in the enumeration, characterization, identification, and scaling behavior of SAWs, SAPs, and their variants [19,20,33,[43][44][45][46][47][48][49][50][51][52][53][54][55][56][57][58][59][60][61][62]. It is interesting to notice that while the simple cubic (SC), BCC, and FCC crystals have been extensively studied in the literature, no such wealth of information exists for the hexagonal close-packed (HCP) one.…”