Let Γn be the cone of an (n−1)-complete algebra over an algebraically closed field k. In this paper, we prove that if the bound quiver (Qn, ρn) of Γn is a truncation from the bound McKay quiver (QG, ρG) of a finite subgroup G of GL(n,k), the bound quiver (Qn+1, ρn+1) of Γn+1, the cone of Γn, is a truncation from the bound McKay quiver (Formula presented.) of (Formula presented.), where (Formula presen...