  In this paper, we introduce multi-layer quiver and show how to construct an
$(n+1)$-slice algebras of infinite type from an $n$-slice algebra of infinite
type using the bound quivers. This leads to constructing $(n+1)$-slice algebras
of infinite type as matrix algebra and as tensor algebra of an $n$-slice
algebra and equivalences of their module categories as the module categories of
diagram of some quiver of type $\widetilde{A}_{n+1}$.
