The present paper studies certain low-level separation axioms of a topological space, denoted by A(X), induced by a geometric AC-complex X. After proving that whereas A(X) is an Alexandroff space satisfying the semi-T 1 2-separation axiom, we observe that it does neither satisfy the pre T 1 2-separation axiom nor is a Hausdorff space. These are main motivations of the present work. Although not every A(X) is a semi-T 1 space, after proceeding with an edge to edge tiling (or a face to face crystallization) of R n , n ∈ N, denoted by T(R n) as an AC complex, we prove that A(T(R n)) is a semi-T 1 space. Furthermore, we prove that A(E n), induced by an nD Cartesian AC complex C n = (E n , N, dim), is also a semi-T 1 space, n ∈ N. The paper deals with AC-complexes with the locally finite (LF-, for brevity) property, which can be used in the fields of pure and applied mathematics as well as digital topology, computational topology, and digital geometry.