In this paper, we considered the Star-like nildempotency square pyramid of Ibrahim et al. in2023. In particular, we obtained some more useful result on angular-loop model of the squarepyramid namely; any distinct non negative integer Xn and S ∈ ALM with a disk constantpoint ϕ ∈ S then S is reducible, spinnable and also form an algebraic transitive relation.In this paper, we considered the Star-like nildempotency square pyramid of Ibrahim et al. in2023. In particular, we obtained some more useful result on angular-loop model of the squarepyramid namely; any distinct non negative integer Xn and S ∈ ALM with a disk constant point ϕ ∈ S then S is reducible, spinnable and also form an algebraic transitive relation.