Isogonal 1-periodic polycatenanes (chains). Transitivity and intransitivity of links

A systematic description of 1-periodic polycatenanes is given. The description uses piecewise-linear embeddings (straight edges) and is limited to structures with symmetry-related vertices (isogonal). Components linked are polygons, including knotted polygons and polyhedra. The structures described are generally those with the order of rotational symmetry up to 10. An account is given of transitivity and intransitivity in patterns of links.