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Models of these manifolds have been studied at least since the work of Moebius, with increasing depth and many results in more recent times. The models range from purely combinatorial to various types of geometric representations, such as by topological complexes, by planar-faced polyhedra (conve ...

We prove that there exist infinitely many splittable and also infinitely many unsplittable cyclic ▫$(n_3)$▫ configurations. We also present a complete study of trivalent cyclic Haar graphs on at most 60 vertices with respect to splittability. Finally, we show that all cyclic flag-transitive configur ...