The aforementioned propositions indicate where the maximum and minimum are attained. Furthermore, Remark 2 (b) enables us to compare certain types of chains. Similarly, the subsequent results provide insight into how the indices behave beyond the extremes. To facilitate the interpretation of the results, we will adopt the following notation: P C(L 3 , L 4 , . . . , L n ) represents a polyomino chain with n squares, with the links chosen at each stage according to the vector v = (L 3 , L 4 , . . . , L n ). In the forthcoming two results, we will primarily focus on polyomino chains containing either one link of type 1 or one link of type 2 and the number of links preceding either the link of type 1 or the link of type 2 will be greater than or equal to ⌊(n -2)/2⌋. with ⌊(n -2)/2⌋ ≤ i ≤ n -6. Moreover, for n ≥ 6