On some generalization of the Möbius configuration
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.
Issues from Vol 6, No 1 onward are partially supported by the Slovenian Research Agency from the Call for co-financing of scientific periodical publications