On some generalization of the Möbius configuration

Krzysztof Petelczyc

Abstract


The Möbius (84) configuration is generalized in a purely combinatorial approach. We consider (2nn) configurations M(n, φ) depending on a permutation φ in the symmetric group Sn. Classes of non-isomorphic configurations of this type are determined. The parametric characterization of M(n, φ) is given. The uniqueness of the decomposition of M(n, φ) into two mutually inscribed n-simplices is discussed. The automorphisms of M(n, φ) are characterized for n ≥ 3.


Keywords


Möbius configuration, (8_4) configurations, Möbius pair, n-simplex

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ISSN: 1855-3974

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