Abstract
AbstractFor every positive integer, we introduce an adjacency in the digital space $${\mathbb {Z}}^3$$ Z 3 . Connectedness in the graph obtained is then used to define and study digital Jordan surfaces. The surfaces are acquired as polyhedral surfaces bounding the digital polyhedra that can be face-to-face tiled with digital cubes, triangular prisms, square pyramids, and tetrahedra.
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